%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC184+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 : n001.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 03:08:24 PM UTC 2026
% Result : Theorem 54.06s 8.43s
% Output : CNFRefutation 54.07s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f547ERROR: Could not build tree for root c_93318ERROR: 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] :
( ( ( nil != X2
| nil != X3 )
& ! [X7] :
( ? [X8] :
( leq(X8,X7)
& memberP(X3,X8)
& X7 != X8
& ssItem(X8) )
| ~ memberP(X3,X7)
| cons(X7,nil) != X2
| ~ ssItem(X7) ) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ( ~ memberP(X6,X4)
& ~ memberP(X5,X4) )
| app(app(X5,cons(X4,nil)),X6) != X0
| ~ ssList(X6) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( ( nil != X2
| nil != X3 )
& ! [X7] :
( ? [X8] :
( leq(X8,X7)
& memberP(X3,X8)
& X7 != X8
& ssItem(X8) )
| ~ memberP(X3,X7)
| cons(X7,nil) != X2
| ~ ssItem(X7) ) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ( ~ memberP(X6,X4)
& ~ memberP(X5,X4) )
| app(app(X5,cons(X4,nil)),X6) != X0
| ~ ssList(X6) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(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] :
( ( ( nil = X2
& nil = X3 )
| ? [X7] :
( ! [X8] :
( ~ leq(X8,X7)
| ~ memberP(X3,X8)
| X7 = X8
| ~ ssItem(X8) )
& memberP(X3,X7)
& cons(X7,nil) = X2
& ssItem(X7) ) )
& ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ( memberP(X6,X4)
| memberP(X5,X4) )
& app(app(X5,cons(X4,nil)),X6) = X0
& ssList(X6) ) ) )
& X0 = X2
& X1 = X3
& ssList(X3) ) ) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f232,plain,
( sK6 != sK7
& ssItem(sK7)
& ssItem(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X0,sK6),skolemize(X1,sK7)],[f2]) ).
fof(f233,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(f234,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,[],[f233]) ).
fof(f235,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))],[f234]) ).
fof(f236,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(f237,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ singletonP(X0)
| ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) ) )
& ( ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) )
| singletonP(X0) ) ) ),
inference(rectify,[],[f236]) ).
fof(f238,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))],[f237]) ).
fof(f239,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(f240,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,[],[f239]) ).
fof(f241,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))],[f240]) ).
fof(f242,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(f243,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,[],[f242]) ).
fof(f244,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))],[f243]) ).
fof(f245,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(f246,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,[],[f245]) ).
fof(f247,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))],[f246]) ).
fof(f248,plain,
! [X0] :
( ~ sP1(X0)
| ( ( ~ cyclefreeP(X0)
| sP0(X0) )
& ( ~ sP0(X0)
| cyclefreeP(X0) ) ) ),
inference(nnf_transformation,[],[f223]) ).
fof(f252,plain,
! [X0] :
( ~ sP3(X0)
| ( ( ~ totalorderP(X0)
| sP2(X0) )
& ( ~ sP2(X0)
| totalorderP(X0) ) ) ),
inference(nnf_transformation,[],[f226]) ).
fof(f256,plain,
! [X0] :
( ~ sP5(X0)
| ( ( ~ strictorderP(X0)
| sP4(X0) )
& ( ~ sP4(X0)
| strictorderP(X0) ) ) ),
inference(nnf_transformation,[],[f229]) ).
fof(f260,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(f261,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,[],[f260]) ).
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) ) ) ) ) ) )
& ( ( 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))],[f261]) ).
fof(f263,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(f264,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,[],[f263]) ).
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) ) ) ) ) ) )
& ( ( 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))],[f264]) ).
fof(f266,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(f267,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,[],[f266]) ).
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 ) ) ) ) ) )
& ( ( 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))],[f267]) ).
fof(f269,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(f270,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,[],[f269]) ).
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 ) ) ) ) )
& ( ( 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))],[f270]) ).
fof(f273,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(f274,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ geq(X0,X1)
| leq(X1,X0) )
& ( ~ leq(X1,X0)
| geq(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f140]) ).
fof(f275,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ gt(X0,X1)
| lt(X1,X0) )
& ( ~ lt(X1,X0)
| gt(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f145]) ).
fof(f276,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(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(flattening,[],[f276]) ).
fof(f278,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(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(flattening,[],[f278]) ).
fof(f280,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(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(flattening,[],[f280]) ).
fof(f282,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ frontsegP(nil,X0)
| nil = X0 )
& ( nil != X0
| frontsegP(nil,X0) ) ) ),
inference(nnf_transformation,[],[f158]) ).
fof(f283,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ rearsegP(nil,X0)
| nil = X0 )
& ( nil != X0
| rearsegP(nil,X0) ) ) ),
inference(nnf_transformation,[],[f167]) ).
fof(f284,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ segmentP(nil,X0)
| nil = X0 )
& ( nil != X0
| segmentP(nil,X0) ) ) ),
inference(nnf_transformation,[],[f176]) ).
fof(f285,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(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(flattening,[],[f285]) ).
fof(f287,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(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(flattening,[],[f287]) ).
fof(f289,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(f290,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(f291,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(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(flattening,[],[f291]) ).
fof(f293,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(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(flattening,[],[f293]) ).
fof(f295,plain,
( ssList(sK53)
& ssList(sK54)
& ssList(sK55)
& ( ( nil = sK55
& nil = sK56 )
| ( ! [X8] :
( ~ leq(X8,sK60)
| ~ memberP(sK56,X8)
| sK60 = X8
| ~ ssItem(X8) )
& memberP(sK56,sK60)
& sK55 = cons(sK60,nil)
& ssItem(sK60) ) )
& ssItem(sK57)
& ssList(sK58)
& ( memberP(sK59,sK57)
| memberP(sK58,sK57) )
& sK53 = app(app(sK58,cons(sK57,nil)),sK59)
& ssList(sK59)
& sK53 = sK55
& sK54 = sK56
& ssList(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)],[f221]) ).
fof(f298,plain,
sK6 != sK7,
inference(cnf_transformation,[],[f232]) ).
fof(f299,plain,
ssItem(sK7),
inference(cnf_transformation,[],[f232]) ).
fof(f300,plain,
ssItem(sK6),
inference(cnf_transformation,[],[f232]) ).
fof(f301,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| app(sK8(X0,X1),cons(X1,sK9(X0,X1))) = X0 ),
inference(cnf_transformation,[],[f235]) ).
fof(f302,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| ssList(sK9(X0,X1)) ),
inference(cnf_transformation,[],[f235]) ).
fof(f303,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| ssList(sK8(X0,X1)) ),
inference(cnf_transformation,[],[f235]) ).
fof(f304,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,[],[f235]) ).
fof(f305,plain,
! [X0] :
( ~ ssList(X0)
| ~ singletonP(X0)
| cons(sK10(X0),nil) = X0 ),
inference(cnf_transformation,[],[f238]) ).
fof(f306,plain,
! [X0] :
( ~ ssList(X0)
| ~ singletonP(X0)
| ssItem(sK10(X0)) ),
inference(cnf_transformation,[],[f238]) ).
fof(f307,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(X1,nil) != X0
| ~ ssItem(X1)
| singletonP(X0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f308,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| app(X1,sK11(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f241]) ).
fof(f309,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ssList(sK11(X0,X1)) ),
inference(cnf_transformation,[],[f241]) ).
fof(f310,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X2) != X0
| ~ ssList(X2)
| frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f241]) ).
fof(f311,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| app(sK12(X0,X1),X1) = X0 ),
inference(cnf_transformation,[],[f244]) ).
fof(f312,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ssList(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f244]) ).
fof(f313,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X2,X1) != X0
| ~ ssList(X2)
| rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f244]) ).
fof(f314,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| app(app(sK13(X0,X1),X1),sK14(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f247]) ).
fof(f315,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| ssList(sK14(X0,X1)) ),
inference(cnf_transformation,[],[f247]) ).
fof(f316,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| ssList(sK13(X0,X1)) ),
inference(cnf_transformation,[],[f247]) ).
fof(f317,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,[],[f247]) ).
fof(f318,plain,
! [X0] :
( ~ sP1(X0)
| ~ cyclefreeP(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f248]) ).
fof(f329,plain,
! [X0] :
( ~ ssList(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f330,plain,
! [X0] :
( ~ sP3(X0)
| ~ totalorderP(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f341,plain,
! [X0] :
( ~ ssList(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f342,plain,
! [X0] :
( ~ sP5(X0)
| ~ strictorderP(X0)
| sP4(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f353,plain,
! [X0] :
( ~ ssList(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f354,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,[],[f262]) ).
fof(f355,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK30(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f356,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK31(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f357,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK32(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f358,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK33(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f359,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK34(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f360,plain,
! [X0] :
( ~ ssList(X0)
| app(app(sK32(X0),cons(sK30(X0),sK33(X0))),cons(sK31(X0),sK34(X0))) = X0
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f361,plain,
! [X0] :
( ~ ssList(X0)
| ~ leq(sK30(X0),sK31(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f362,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,[],[f265]) ).
fof(f363,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK35(X0))
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f364,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK36(X0))
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f365,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK37(X0))
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f366,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK38(X0))
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f367,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK39(X0))
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f368,plain,
! [X0] :
( ~ ssList(X0)
| app(app(sK37(X0),cons(sK35(X0),sK38(X0))),cons(sK36(X0),sK39(X0))) = X0
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f369,plain,
! [X0] :
( ~ ssList(X0)
| ~ lt(sK35(X0),sK36(X0))
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f371,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK40(X0))
| duplicatefreeP(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f372,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK41(X0))
| duplicatefreeP(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f373,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK42(X0))
| duplicatefreeP(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f374,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK43(X0))
| duplicatefreeP(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f375,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK44(X0))
| duplicatefreeP(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f376,plain,
! [X0] :
( ~ ssList(X0)
| app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),sK44(X0))) = X0
| duplicatefreeP(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f377,plain,
! [X0] :
( ~ ssList(X0)
| sK40(X0) = sK41(X0)
| duplicatefreeP(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f378,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,[],[f271]) ).
fof(f379,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK45(X0))
| equalelemsP(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f380,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK46(X0))
| equalelemsP(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f381,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK47(X0))
| equalelemsP(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f382,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK48(X0))
| equalelemsP(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f383,plain,
! [X0] :
( ~ ssList(X0)
| app(sK47(X0),cons(sK45(X0),cons(sK46(X0),sK48(X0)))) = X0
| equalelemsP(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f384,plain,
! [X0] :
( ~ ssList(X0)
| sK45(X0) != sK46(X0)
| equalelemsP(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f387,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
inference(cnf_transformation,[],[f119]) ).
fof(f388,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f389,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) != X0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f390,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(f391,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(f392,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK50(X0),sK49(X0)) = X0
| nil = X0 ),
inference(cnf_transformation,[],[f273]) ).
fof(f393,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK50(X0))
| nil = X0 ),
inference(cnf_transformation,[],[f273]) ).
fof(f394,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK49(X0))
| nil = X0 ),
inference(cnf_transformation,[],[f273]) ).
fof(f395,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| nil != cons(X1,X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f396,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
inference(cnf_transformation,[],[f127]) ).
fof(f397,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
inference(cnf_transformation,[],[f128]) ).
fof(f398,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
inference(cnf_transformation,[],[f130]) ).
fof(f399,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f400,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f132]) ).
fof(f401,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(f402,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f134]) ).
fof(f403,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f136]) ).
fof(f404,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(cnf_transformation,[],[f138]) ).
fof(f405,plain,
! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f406,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X0,X1)
| leq(X1,X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f407,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X1,X0)
| geq(X0,X1) ),
inference(cnf_transformation,[],[f274]) ).
fof(f408,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ lt(X1,X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f409,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| lt(X0,X2) ),
inference(cnf_transformation,[],[f144]) ).
fof(f410,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1)
| lt(X1,X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f411,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X0)
| gt(X0,X1) ),
inference(cnf_transformation,[],[f275]) ).
fof(f412,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(app(X1,X2),X0)
| memberP(X2,X0)
| memberP(X1,X0) ),
inference(cnf_transformation,[],[f277]) ).
fof(f413,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(X2,X0)
| memberP(app(X1,X2),X0) ),
inference(cnf_transformation,[],[f277]) ).
fof(f414,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(X1,X0)
| memberP(app(X1,X2),X0) ),
inference(cnf_transformation,[],[f277]) ).
fof(f415,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ memberP(cons(X1,X2),X0)
| memberP(X2,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f279]) ).
fof(f416,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ memberP(X2,X0)
| memberP(cons(X1,X2),X0) ),
inference(cnf_transformation,[],[f279]) ).
fof(f418,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f419,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f420,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ),
inference(cnf_transformation,[],[f150]) ).
fof(f421,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f152]) ).
fof(f422,plain,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f423,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f424,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,[],[f281]) ).
fof(f425,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,[],[f281]) ).
fof(f427,plain,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
inference(cnf_transformation,[],[f157]) ).
fof(f428,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ),
inference(cnf_transformation,[],[f282]) ).
fof(f429,plain,
! [X0] :
( ~ ssList(X0)
| nil != X0
| frontsegP(nil,X0) ),
inference(cnf_transformation,[],[f282]) ).
fof(f430,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f431,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f162]) ).
fof(f432,plain,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f433,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f434,plain,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ),
inference(cnf_transformation,[],[f166]) ).
fof(f435,plain,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| nil = X0 ),
inference(cnf_transformation,[],[f283]) ).
fof(f436,plain,
! [X0] :
( ~ ssList(X0)
| nil != X0
| rearsegP(nil,X0) ),
inference(cnf_transformation,[],[f283]) ).
fof(f437,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f438,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f171]) ).
fof(f439,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f440,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(f441,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
inference(cnf_transformation,[],[f175]) ).
fof(f442,plain,
! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ),
inference(cnf_transformation,[],[f284]) ).
fof(f443,plain,
! [X0] :
( ~ ssList(X0)
| nil != X0
| segmentP(nil,X0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f444,plain,
! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f445,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f446,plain,
! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f178]) ).
fof(f447,plain,
totalorderP(nil),
inference(cnf_transformation,[],[f62]) ).
fof(f448,plain,
! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f179]) ).
fof(f449,plain,
strictorderP(nil),
inference(cnf_transformation,[],[f64]) ).
fof(f450,plain,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f180]) ).
fof(f451,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
fof(f452,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ totalorderedP(cons(X0,X1))
| leq(X0,hd(X1))
| nil = X1 ),
inference(cnf_transformation,[],[f286]) ).
fof(f453,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ totalorderedP(cons(X0,X1))
| totalorderedP(X1)
| nil = X1 ),
inference(cnf_transformation,[],[f286]) ).
fof(f455,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1
| totalorderedP(cons(X0,X1)) ),
inference(cnf_transformation,[],[f286]) ).
fof(f457,plain,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f182]) ).
fof(f458,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f459,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ strictorderedP(cons(X0,X1))
| lt(X0,hd(X1))
| nil = X1 ),
inference(cnf_transformation,[],[f288]) ).
fof(f460,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ strictorderedP(cons(X0,X1))
| strictorderedP(X1)
| nil = X1 ),
inference(cnf_transformation,[],[f288]) ).
fof(f462,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1
| strictorderedP(cons(X0,X1)) ),
inference(cnf_transformation,[],[f288]) ).
fof(f464,plain,
! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f184]) ).
fof(f465,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f72]) ).
fof(f466,plain,
! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f185]) ).
fof(f467,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f74]) ).
fof(f468,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| hd(X0) = sK51(X0) ),
inference(cnf_transformation,[],[f289]) ).
fof(f469,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(sK51(X0)) ),
inference(cnf_transformation,[],[f289]) ).
fof(f470,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| tl(X0) = sK52(X0) ),
inference(cnf_transformation,[],[f290]) ).
fof(f471,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(sK52(X0)) ),
inference(cnf_transformation,[],[f290]) ).
fof(f472,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(f473,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f193]) ).
fof(f474,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X2,X1) != app(X0,X1)
| X0 = X2 ),
inference(cnf_transformation,[],[f195]) ).
fof(f475,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X1,X2) != app(X1,X0)
| X0 = X2 ),
inference(cnf_transformation,[],[f197]) ).
fof(f476,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f477,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(f478,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil != app(X0,X1)
| nil = X0 ),
inference(cnf_transformation,[],[f292]) ).
fof(f479,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil != app(X0,X1)
| nil = X1 ),
inference(cnf_transformation,[],[f292]) ).
fof(f481,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f201]) ).
fof(f482,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X0
| hd(X0) = hd(app(X0,X1)) ),
inference(cnf_transformation,[],[f203]) ).
fof(f483,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X0
| tl(app(X0,X1)) = app(tl(X0),X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f484,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f207]) ).
fof(f485,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| geq(X0,X2) ),
inference(cnf_transformation,[],[f209]) ).
fof(f486,plain,
! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f488,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| lt(X0,X2) ),
inference(cnf_transformation,[],[f213]) ).
fof(f490,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f294]) ).
fof(f492,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ),
inference(cnf_transformation,[],[f294]) ).
fof(f493,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1)
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f494,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| gt(X0,X2) ),
inference(cnf_transformation,[],[f220]) ).
fof(f495,plain,
ssList(sK53),
inference(cnf_transformation,[],[f295]) ).
fof(f496,plain,
ssList(sK54),
inference(cnf_transformation,[],[f295]) ).
fof(f498,plain,
! [X8] :
( nil = sK55
| ~ leq(X8,sK60)
| ~ memberP(sK56,X8)
| sK60 = X8
| ~ ssItem(X8) ),
inference(cnf_transformation,[],[f295]) ).
fof(f499,plain,
! [X8] :
( nil = sK56
| ~ leq(X8,sK60)
| ~ memberP(sK56,X8)
| sK60 = X8
| ~ ssItem(X8) ),
inference(cnf_transformation,[],[f295]) ).
fof(f500,plain,
( nil = sK55
| memberP(sK56,sK60) ),
inference(cnf_transformation,[],[f295]) ).
fof(f501,plain,
( nil = sK56
| memberP(sK56,sK60) ),
inference(cnf_transformation,[],[f295]) ).
fof(f502,plain,
( nil = sK55
| sK55 = cons(sK60,nil) ),
inference(cnf_transformation,[],[f295]) ).
fof(f503,plain,
( nil = sK56
| sK55 = cons(sK60,nil) ),
inference(cnf_transformation,[],[f295]) ).
fof(f504,plain,
( nil = sK55
| ssItem(sK60) ),
inference(cnf_transformation,[],[f295]) ).
fof(f505,plain,
( nil = sK56
| ssItem(sK60) ),
inference(cnf_transformation,[],[f295]) ).
fof(f506,plain,
ssItem(sK57),
inference(cnf_transformation,[],[f295]) ).
fof(f507,plain,
ssList(sK58),
inference(cnf_transformation,[],[f295]) ).
fof(f508,plain,
( memberP(sK59,sK57)
| memberP(sK58,sK57) ),
inference(cnf_transformation,[],[f295]) ).
fof(f509,plain,
sK53 = app(app(sK58,cons(sK57,nil)),sK59),
inference(cnf_transformation,[],[f295]) ).
fof(f510,plain,
ssList(sK59),
inference(cnf_transformation,[],[f295]) ).
fof(f511,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f295]) ).
fof(f512,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f295]) ).
fof(f514,plain,
sK55 = app(app(sK58,cons(sK57,nil)),sK59),
inference(definition_unfolding,[],[f509,f511]) ).
fof(f515,plain,
ssList(sK56),
inference(definition_unfolding,[],[f496,f512]) ).
fof(f516,plain,
ssList(sK55),
inference(definition_unfolding,[],[f495,f511]) ).
fof(f518,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,[],[f304]) ).
fof(f519,plain,
! [X1] :
( ~ ssList(cons(X1,nil))
| ~ ssItem(X1)
| singletonP(cons(X1,nil)) ),
inference(equality_resolution,[],[f307]) ).
fof(f520,plain,
! [X2,X1] :
( ~ ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(app(X1,X2),X1) ),
inference(equality_resolution,[],[f310]) ).
fof(f521,plain,
! [X2,X1] :
( ~ ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| rearsegP(app(X2,X1),X1) ),
inference(equality_resolution,[],[f313]) ).
fof(f522,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,[],[f317]) ).
fof(f526,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,[],[f354]) ).
fof(f527,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,[],[f362]) ).
fof(f530,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,[],[f378]) ).
fof(f534,plain,
( ~ ssList(nil)
| frontsegP(nil,nil) ),
inference(equality_resolution,[],[f429]) ).
fof(f535,plain,
( ~ ssList(nil)
| rearsegP(nil,nil) ),
inference(equality_resolution,[],[f436]) ).
fof(f536,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f443]) ).
tcf(c_51,plain,
ssItem(sK6),
inference(cnf_transformation,[],[f300]) ).
tcf(c_52,plain,
ssItem(sK7),
inference(cnf_transformation,[],[f299]) ).
tcf(c_53,plain,
sK6 != sK7,
inference(cnf_transformation,[],[f298]) ).
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,[],[f518]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( ssList(sK8(X0,X1))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f303]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( ssList(sK9(X0,X1))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f302]) ).
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,[],[f301]) ).
tcf(c_58,plain,
! [X0: $i] :
( singletonP(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(cnf_transformation,[],[f519]) ).
tcf(c_59,plain,
! [X0: $i] :
( ssItem(sK10(X0))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f306]) ).
tcf(c_60,plain,
! [X0: $i] :
( ( cons(sK10(X0),nil) = X0 )
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f305]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f520]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( ssList(sK11(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( ( app(X1,sK11(X0,X1)) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f308]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f521]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( ssList(sK12(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( ( app(sK12(X0,X1),X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f311]) ).
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,[],[f522]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( ssList(sK13(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] :
( ssList(sK14(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f315]) ).
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,[],[f314]) ).
tcf(c_72,plain,
! [X0: $i] :
( sP0(X0)
| ~ sP1(X0)
| ~ cyclefreeP(X0) ),
inference(cnf_transformation,[],[f318]) ).
tcf(c_82,plain,
! [X0: $i] :
( sP1(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f329]) ).
tcf(c_84,plain,
! [X0: $i] :
( sP2(X0)
| ~ sP3(X0)
| ~ totalorderP(X0) ),
inference(cnf_transformation,[],[f330]) ).
tcf(c_94,plain,
! [X0: $i] :
( sP3(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f341]) ).
tcf(c_96,plain,
! [X0: $i] :
( sP4(X0)
| ~ sP5(X0)
| ~ strictorderP(X0) ),
inference(cnf_transformation,[],[f342]) ).
tcf(c_106,plain,
! [X0: $i] :
( sP5(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f353]) ).
tcf(c_107,plain,
! [X0: $i] :
( totalorderedP(X0)
| ~ ssList(X0)
| ~ leq(sK30(X0),sK31(X0)) ),
inference(cnf_transformation,[],[f361]) ).
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,[],[f360]) ).
tcf(c_109,plain,
! [X0: $i] :
( totalorderedP(X0)
| ssList(sK34(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f359]) ).
tcf(c_110,plain,
! [X0: $i] :
( totalorderedP(X0)
| ssList(sK33(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f358]) ).
tcf(c_111,plain,
! [X0: $i] :
( totalorderedP(X0)
| ssList(sK32(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f357]) ).
tcf(c_112,plain,
! [X0: $i] :
( totalorderedP(X0)
| ssItem(sK31(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f356]) ).
tcf(c_113,plain,
! [X0: $i] :
( totalorderedP(X0)
| ssItem(sK30(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f355]) ).
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,[],[f526]) ).
tcf(c_115,plain,
! [X0: $i] :
( strictorderedP(X0)
| ~ ssList(X0)
| ~ lt(sK35(X0),sK36(X0)) ),
inference(cnf_transformation,[],[f369]) ).
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,[],[f368]) ).
tcf(c_117,plain,
! [X0: $i] :
( strictorderedP(X0)
| ssList(sK39(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f367]) ).
tcf(c_118,plain,
! [X0: $i] :
( strictorderedP(X0)
| ssList(sK38(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f366]) ).
tcf(c_119,plain,
! [X0: $i] :
( strictorderedP(X0)
| ssList(sK37(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f365]) ).
tcf(c_120,plain,
! [X0: $i] :
( strictorderedP(X0)
| ssItem(sK36(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f364]) ).
tcf(c_121,plain,
! [X0: $i] :
( strictorderedP(X0)
| ssItem(sK35(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f363]) ).
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,[],[f527]) ).
tcf(c_123,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( sK40(X0) = sK41(X0) )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f377]) ).
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,[],[f376]) ).
tcf(c_125,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ssList(sK44(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f375]) ).
tcf(c_126,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ssList(sK43(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f374]) ).
tcf(c_127,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ssList(sK42(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f373]) ).
tcf(c_128,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ssItem(sK41(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f372]) ).
tcf(c_129,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ssItem(sK40(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f371]) ).
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,[],[f545]) ).
tcf(c_131,plain,
! [X0: $i] :
( equalelemsP(X0)
| ~ ssList(X0)
| ( sK45(X0) != sK46(X0) ) ),
inference(cnf_transformation,[],[f384]) ).
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,[],[f383]) ).
tcf(c_133,plain,
! [X0: $i] :
( equalelemsP(X0)
| ssList(sK48(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f382]) ).
tcf(c_134,plain,
! [X0: $i] :
( equalelemsP(X0)
| ssList(sK47(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f381]) ).
tcf(c_135,plain,
! [X0: $i] :
( equalelemsP(X0)
| ssItem(sK46(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f380]) ).
tcf(c_136,plain,
! [X0: $i] :
( equalelemsP(X0)
| ssItem(sK45(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f379]) ).
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,[],[f530]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f387]) ).
tcf(c_141,plain,
ssList(nil),
inference(cnf_transformation,[],[f388]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f389]) ).
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,[],[f391]) ).
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,[],[f390]) ).
tcf(c_145,plain,
! [X0: $i] :
( ssList(sK49(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f394]) ).
tcf(c_146,plain,
! [X0: $i] :
( ssItem(sK50(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f393]) ).
tcf(c_147,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK50(X0),sK49(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f392]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f395]) ).
tcf(c_149,plain,
! [X0: $i] :
( ssItem(hd(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f396]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(X0,X1)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f397]) ).
tcf(c_151,plain,
! [X0: $i] :
( ssList(tl(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f398]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(X0,X1)) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f399]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f400]) ).
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,[],[f401]) ).
tcf(c_155,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f402]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f403]) ).
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,[],[f404]) ).
tcf(c_158,plain,
! [X0: $i] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f405]) ).
tcf(c_159,plain,
! [X0: $i,X1: $i] :
( geq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f407]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X0,X1) ),
inference(cnf_transformation,[],[f406]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[],[f408]) ).
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,[],[f409]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i] :
( gt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[],[f411]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i] :
( lt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f410]) ).
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,[],[f414]) ).
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,[],[f413]) ).
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,[],[f412]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i] :
( memberP(cons(X0,X1),X0)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f547]) ).
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,[],[f416]) ).
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,[],[f415]) ).
tcf(c_171,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[],[f418]) ).
tcf(c_172,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f419]) ).
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,[],[f420]) ).
tcf(c_174,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f421]) ).
tcf(c_175,plain,
! [X0: $i] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f422]) ).
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,[],[f423]) ).
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,[],[f548]) ).
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,[],[f425]) ).
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,[],[f424]) ).
tcf(c_180,plain,
! [X0: $i] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f427]) ).
tcf(c_181,plain,
( frontsegP(nil,nil)
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f534]) ).
tcf(c_182,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(cnf_transformation,[],[f428]) ).
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,[],[f430]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f431]) ).
tcf(c_185,plain,
! [X0: $i] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f432]) ).
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,[],[f433]) ).
tcf(c_187,plain,
! [X0: $i] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f434]) ).
tcf(c_188,plain,
( rearsegP(nil,nil)
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f535]) ).
tcf(c_189,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(cnf_transformation,[],[f435]) ).
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,[],[f437]) ).
tcf(c_191,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f438]) ).
tcf(c_192,plain,
! [X0: $i] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f439]) ).
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,[],[f440]) ).
tcf(c_194,plain,
! [X0: $i] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f441]) ).
tcf(c_195,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f536]) ).
tcf(c_196,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(cnf_transformation,[],[f442]) ).
tcf(c_197,plain,
! [X0: $i] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f444]) ).
tcf(c_198,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f445]) ).
tcf(c_199,plain,
! [X0: $i] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f446]) ).
tcf(c_200,plain,
totalorderP(nil),
inference(cnf_transformation,[],[f447]) ).
tcf(c_201,plain,
! [X0: $i] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f448]) ).
tcf(c_202,plain,
strictorderP(nil),
inference(cnf_transformation,[],[f449]) ).
tcf(c_203,plain,
! [X0: $i] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f450]) ).
tcf(c_204,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f451]) ).
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,[],[f455]) ).
tcf(c_207,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X1)
| ( X1 = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(cons(X0,X1)) ),
inference(cnf_transformation,[],[f453]) ).
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,[],[f452]) ).
tcf(c_209,plain,
! [X0: $i] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f457]) ).
tcf(c_210,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f458]) ).
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,[],[f462]) ).
tcf(c_213,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X1)
| ( X1 = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(cons(X0,X1)) ),
inference(cnf_transformation,[],[f460]) ).
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,[],[f459]) ).
tcf(c_215,plain,
! [X0: $i] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f464]) ).
tcf(c_216,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f465]) ).
tcf(c_217,plain,
! [X0: $i] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f466]) ).
tcf(c_218,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f467]) ).
tcf(c_219,plain,
! [X0: $i] :
( ssItem(sK51(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f469]) ).
tcf(c_220,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(X0) = sK51(X0) )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f468]) ).
tcf(c_221,plain,
! [X0: $i] :
( ssList(sK52(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f471]) ).
tcf(c_222,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(X0) = sK52(X0) )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f470]) ).
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,[],[f472]) ).
tcf(c_224,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(hd(X0),tl(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f473]) ).
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,[],[f474]) ).
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,[],[f475]) ).
tcf(c_227,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X0,nil),X1) = cons(X0,X1) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f476]) ).
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,[],[f477]) ).
tcf(c_229,plain,
( ( app(nil,nil) = nil )
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f549]) ).
tcf(c_230,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f479]) ).
tcf(c_231,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f478]) ).
tcf(c_232,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f481]) ).
tcf(c_233,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( hd(app(X0,X1)) = hd(X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f482]) ).
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,[],[f483]) ).
tcf(c_235,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X0)
| ~ geq(X0,X1) ),
inference(cnf_transformation,[],[f484]) ).
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,[],[f485]) ).
tcf(c_237,plain,
! [X0: $i] :
( geq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f486]) ).
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,[],[f488]) ).
tcf(c_241,plain,
! [X0: $i,X1: $i] :
( lt(X0,X1)
| ( X0 = X1 )
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f492]) ).
tcf(c_242,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ),
inference(cnf_transformation,[],[f550]) ).
tcf(c_243,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[],[f490]) ).
tcf(c_244,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f493]) ).
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,[],[f494]) ).
tcf(c_247,negated_conjecture,
ssList(sK59),
inference(cnf_transformation,[],[f510]) ).
tcf(c_248,negated_conjecture,
app(app(sK58,cons(sK57,nil)),sK59) = sK55,
inference(cnf_transformation,[],[f514]) ).
tcf(c_249,negated_conjecture,
( memberP(sK58,sK57)
| memberP(sK59,sK57) ),
inference(cnf_transformation,[],[f508]) ).
tcf(c_250,negated_conjecture,
ssList(sK58),
inference(cnf_transformation,[],[f507]) ).
tcf(c_251,negated_conjecture,
ssItem(sK57),
inference(cnf_transformation,[],[f506]) ).
tcf(c_252,negated_conjecture,
( ssItem(sK60)
| ( nil = sK56 ) ),
inference(cnf_transformation,[],[f505]) ).
tcf(c_253,negated_conjecture,
( ssItem(sK60)
| ( nil = sK55 ) ),
inference(cnf_transformation,[],[f504]) ).
tcf(c_254,negated_conjecture,
( ( nil = sK56 )
| ( cons(sK60,nil) = sK55 ) ),
inference(cnf_transformation,[],[f503]) ).
tcf(c_255,negated_conjecture,
( ( nil = sK55 )
| ( cons(sK60,nil) = sK55 ) ),
inference(cnf_transformation,[],[f502]) ).
tcf(c_256,negated_conjecture,
( memberP(sK56,sK60)
| ( nil = sK56 ) ),
inference(cnf_transformation,[],[f501]) ).
tcf(c_257,negated_conjecture,
( memberP(sK56,sK60)
| ( nil = sK55 ) ),
inference(cnf_transformation,[],[f500]) ).
tcf(c_258,negated_conjecture,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = sK60 )
| ~ ssItem(X0)
| ~ leq(X0,sK60)
| ~ memberP(sK56,X0) ),
inference(cnf_transformation,[],[f499]) ).
tcf(c_259,negated_conjecture,
! [X0: $i] :
( ( nil = sK55 )
| ( X0 = sK60 )
| ~ ssItem(X0)
| ~ leq(X0,sK60)
| ~ memberP(sK56,X0) ),
inference(cnf_transformation,[],[f498]) ).
tcf(c_261,negated_conjecture,
ssList(sK56),
inference(cnf_transformation,[],[f515]) ).
tcf(c_262,negated_conjecture,
ssList(sK55),
inference(cnf_transformation,[],[f516]) ).
tcf(c_263,plain,
( sP5(nil)
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_269,plain,
( sP3(nil)
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_275,plain,
( sP1(nil)
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_298,plain,
( sP4(nil)
| ~ sP5(nil)
| ~ strictorderP(nil) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_301,plain,
( sP2(nil)
| ~ sP3(nil)
| ~ totalorderP(nil) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_302,plain,
( sP0(nil)
| ~ sP1(nil)
| ~ cyclefreeP(nil) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_303,plain,
( ( app(nil,nil) = nil )
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_232]) ).
tcf(c_329,plain,
( ssList(sK12(nil,nil))
| ~ ssList(nil)
| ~ rearsegP(nil,nil) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_330,plain,
( ssList(sK11(nil,nil))
| ~ ssList(nil)
| ~ frontsegP(nil,nil) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_371,plain,
segmentP(nil,nil),
inference(global_subsumption_just,[status(thm)],[c_195,c_141,c_195]) ).
tcf(c_373,plain,
rearsegP(nil,nil),
inference(global_subsumption_just,[status(thm)],[c_188,c_141,c_188]) ).
tcf(c_375,plain,
frontsegP(nil,nil),
inference(global_subsumption_just,[status(thm)],[c_181,c_141,c_181]) ).
tcf(c_377,plain,
app(nil,nil) = nil,
inference(global_subsumption_just,[status(thm)],[c_229,c_141,c_303]) ).
tcf(c_383,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_386,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_3093,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ~ cyclefreeP(X1)
| ~ ssList(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_82,c_72]) ).
tcf(c_3094,plain,
! [X0: $i] :
( sP0(X0)
| ~ cyclefreeP(X0)
| ~ ssList(X0) ),
inference(unflattening,[status(thm)],[c_3093]) ).
tcf(c_3122,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ~ totalorderP(X1)
| ~ ssList(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_94,c_84]) ).
tcf(c_3123,plain,
! [X0: $i] :
( sP2(X0)
| ~ totalorderP(X0)
| ~ ssList(X0) ),
inference(unflattening,[status(thm)],[c_3122]) ).
tcf(c_3151,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ~ strictorderP(X1)
| ~ ssList(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_106,c_96]) ).
tcf(c_3152,plain,
! [X0: $i] :
( sP4(X0)
| ~ strictorderP(X0)
| ~ ssList(X0) ),
inference(unflattening,[status(thm)],[c_3151]) ).
tcf(c_3182,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,nil) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_3094,c_197]) ).
tcf(c_3183,plain,
! [X0: $i] :
( sP0(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(unflattening,[status(thm)],[c_3182]) ).
tcf(c_3194,plain,
! [X0: $i] :
( sP0(X0)
| ~ ssList(X0)
| ( X0 != nil ) ),
inference(resolution_lifted,[status(thm)],[c_3094,c_198]) ).
tcf(c_3195,plain,
( sP0(nil)
| ~ ssList(nil) ),
inference(unflattening,[status(thm)],[c_3194]) ).
tcf(c_3196,plain,
sP0(nil),
inference(global_subsumption_just,[status(thm)],[c_3195,c_198,c_141,c_275,c_302]) ).
tcf(c_3207,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,nil) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_3123,c_199]) ).
tcf(c_3208,plain,
! [X0: $i] :
( sP2(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(unflattening,[status(thm)],[c_3207]) ).
tcf(c_3219,plain,
! [X0: $i] :
( sP2(X0)
| ~ ssList(X0)
| ( X0 != nil ) ),
inference(resolution_lifted,[status(thm)],[c_3123,c_200]) ).
tcf(c_3220,plain,
( sP2(nil)
| ~ ssList(nil) ),
inference(unflattening,[status(thm)],[c_3219]) ).
tcf(c_3221,plain,
sP2(nil),
inference(global_subsumption_just,[status(thm)],[c_3220,c_200,c_141,c_269,c_301]) ).
tcf(c_3232,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,nil) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_3152,c_201]) ).
tcf(c_3233,plain,
! [X0: $i] :
( sP4(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(unflattening,[status(thm)],[c_3232]) ).
tcf(c_3244,plain,
! [X0: $i] :
( sP4(X0)
| ~ ssList(X0)
| ( X0 != nil ) ),
inference(resolution_lifted,[status(thm)],[c_3152,c_202]) ).
tcf(c_3245,plain,
( sP4(nil)
| ~ ssList(nil) ),
inference(unflattening,[status(thm)],[c_3244]) ).
tcf(c_3246,plain,
sP4(nil),
inference(global_subsumption_just,[status(thm)],[c_3245,c_202,c_141,c_263,c_298]) ).
tcf(c_8986,definition,
iPr_def_10 = cons(sK60,nil),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_8987,definition,
iPr_def_11 = cons(sK57,nil),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_8988,definition,
iPr_def_12 = app(sK58,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_8989,definition,
iPr_def_13 = app(iPr_def_12,sK59),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_8990,negated_conjecture,
ssList(sK55),
inference(demodulation,[status(thm)],[c_262]) ).
tcf(c_8991,negated_conjecture,
! [X0: $i] :
( ( nil = sK55 )
| ( X0 = sK60 )
| ~ ssItem(X0)
| ~ leq(X0,sK60)
| ~ memberP(sK56,X0) ),
inference(demodulation,[status(thm)],[c_259]) ).
tcf(c_8992,negated_conjecture,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = sK60 )
| ~ ssItem(X0)
| ~ leq(X0,sK60)
| ~ memberP(sK56,X0) ),
inference(demodulation,[status(thm)],[c_258]) ).
tcf(c_8993,negated_conjecture,
( memberP(sK56,sK60)
| ( nil = sK55 ) ),
inference(demodulation,[status(thm)],[c_257]) ).
tcf(c_8994,negated_conjecture,
( memberP(sK56,sK60)
| ( nil = sK56 ) ),
inference(demodulation,[status(thm)],[c_256]) ).
tcf(c_8995,negated_conjecture,
( ( iPr_def_10 = sK55 )
| ( nil = sK55 ) ),
inference(demodulation,[status(thm)],[c_255,c_8986]) ).
tcf(c_8996,negated_conjecture,
( ( iPr_def_10 = sK55 )
| ( nil = sK56 ) ),
inference(demodulation,[status(thm)],[c_254]) ).
tcf(c_8997,negated_conjecture,
( ssItem(sK60)
| ( nil = sK55 ) ),
inference(demodulation,[status(thm)],[c_253]) ).
tcf(c_8998,negated_conjecture,
( ssItem(sK60)
| ( nil = sK56 ) ),
inference(demodulation,[status(thm)],[c_252]) ).
tcf(c_8999,negated_conjecture,
ssItem(sK57),
inference(demodulation,[status(thm)],[c_251]) ).
tcf(c_9000,negated_conjecture,
ssList(sK58),
inference(demodulation,[status(thm)],[c_250]) ).
tcf(c_9001,negated_conjecture,
( memberP(sK58,sK57)
| memberP(sK59,sK57) ),
inference(demodulation,[status(thm)],[c_249]) ).
tcf(c_9002,negated_conjecture,
iPr_def_13 = sK55,
inference(demodulation,[status(thm)],[c_248,c_8987,c_8988,c_8989]) ).
tcf(c_9003,negated_conjecture,
ssList(sK59),
inference(demodulation,[status(thm)],[c_247]) ).
tcf(c_9004,negated_conjecture,
ssList(sK56),
inference(demodulation,[status(thm)],[c_261]) ).
tcf(c_11916,plain,
ssList(iPr_def_13),
inference(light_normalisation,[status(thm)],[c_8990,c_9002]) ).
tcf(c_11917,plain,
( ssItem(sK60)
| ( nil = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_8997,c_9002]) ).
tcf(c_11928,plain,
( memberP(sK56,sK60)
| ( nil = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_8993,c_9002]) ).
tcf(c_11939,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( nil = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_8995,c_9002]) ).
tcf(c_11946,plain,
( sP0(iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11939,c_3196]) ).
tcf(c_11947,plain,
( equalelemsP(iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11939,c_218]) ).
tcf(c_11948,plain,
( duplicatefreeP(iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11939,c_216]) ).
tcf(c_11949,plain,
( strictorderedP(iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11939,c_210]) ).
tcf(c_11950,plain,
( totalorderedP(iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11939,c_204]) ).
tcf(c_11952,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11939,c_377]) ).
tcf(c_11965,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( nil = sK56 ) ),
inference(light_normalisation,[status(thm)],[c_8996,c_9002]) ).
tcf(c_11975,plain,
! [X0: $i] :
( ( nil = iPr_def_13 )
| ( X0 = sK60 )
| ~ ssItem(X0)
| ~ leq(X0,sK60)
| ~ memberP(sK56,X0) ),
inference(light_normalisation,[status(thm)],[c_8991,c_9002]) ).
tcf(c_12011,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( cons(sK60,iPr_def_13) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_11939,c_8986]) ).
tcf(c_12014,plain,
( ( iPr_def_10 = iPr_def_13 )
| ~ singletonP(iPr_def_13) ),
inference(superposition,[status(thm)],[c_11939,c_172]) ).
tcf(c_12017,plain,
( segmentP(iPr_def_13,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11939,c_371]) ).
tcf(c_12021,plain,
( rearsegP(iPr_def_13,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11939,c_373]) ).
tcf(c_12025,plain,
( frontsegP(iPr_def_13,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11939,c_375]) ).
tcf(c_12029,plain,
( sP2(iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11939,c_3221]) ).
tcf(c_12032,plain,
( sP4(iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11939,c_3246]) ).
tcf(c_12071,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( cons(sK57,iPr_def_13) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_11939,c_8987]) ).
tcf(c_12162,plain,
! [X0: $i] :
( frontsegP(X0,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_11939,c_180]) ).
tcf(c_12175,plain,
! [X0: $i] :
( rearsegP(X0,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_11939,c_187]) ).
tcf(c_12200,plain,
! [X0: $i] :
( segmentP(X0,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_11939,c_194]) ).
tcf(c_12229,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_8987,c_54]) ).
tcf(c_12230,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_8986,c_54]) ).
tcf(c_12231,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_12011,c_54]) ).
tcf(c_12232,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_12071,c_54]) ).
tcf(c_12233,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_12230,c_8986]) ).
tcf(c_12234,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_12233,c_141]) ).
tcf(c_12239,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_12229,c_8987]) ).
tcf(c_12240,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_12239,c_141,c_8999]) ).
tcf(c_12244,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_12232,c_11916,c_8999]) ).
tcf(c_12249,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_12231,c_11916]) ).
tcf(c_12267,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_13 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_11939,c_171]) ).
tcf(c_12276,plain,
( totalorderedP(iPr_def_11)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_8987,c_203]) ).
tcf(c_12277,plain,
( totalorderedP(iPr_def_10)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_8986,c_203]) ).
tcf(c_12278,plain,
! [X0: $i] :
( totalorderedP(cons(X0,iPr_def_13))
| ( iPr_def_10 = iPr_def_13 )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_11939,c_203]) ).
tcf(c_12281,plain,
totalorderedP(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_12276,c_8999]) ).
tcf(c_12290,plain,
( strictorderedP(iPr_def_11)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_8987,c_209]) ).
tcf(c_12291,plain,
( strictorderedP(iPr_def_10)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_8986,c_209]) ).
tcf(c_12292,plain,
! [X0: $i] :
( strictorderedP(cons(X0,iPr_def_13))
| ( iPr_def_10 = iPr_def_13 )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_11939,c_209]) ).
tcf(c_12295,plain,
strictorderedP(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_12290,c_8999]) ).
tcf(c_12304,plain,
( totalorderedP(iPr_def_10)
| ( nil = sK56 ) ),
inference(superposition,[status(thm)],[c_8998,c_12277]) ).
tcf(c_12305,plain,
( totalorderedP(iPr_def_10)
| ( nil = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11917,c_12277]) ).
tcf(c_12314,plain,
( strictorderedP(iPr_def_10)
| ( nil = sK56 ) ),
inference(superposition,[status(thm)],[c_8998,c_12291]) ).
tcf(c_12315,plain,
( strictorderedP(iPr_def_10)
| ( nil = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11917,c_12291]) ).
tcf(c_12334,plain,
( memberP(iPr_def_12,sK57)
| ~ ssList(sK58)
| ~ ssList(app(sK58,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_8988,c_12240]) ).
tcf(c_12335,plain,
( memberP(iPr_def_12,sK57)
| ~ ssList(iPr_def_12)
| ~ ssList(sK58) ),
inference(light_normalisation,[status(thm)],[c_12334,c_8988]) ).
tcf(c_12336,plain,
( memberP(iPr_def_12,sK57)
| ~ ssList(iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12335,c_9000]) ).
tcf(c_12351,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_12071,c_12244]) ).
tcf(c_12383,plain,
( duplicatefreeP(iPr_def_11)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_8987,c_215]) ).
tcf(c_12384,plain,
( duplicatefreeP(iPr_def_10)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_8986,c_215]) ).
tcf(c_12385,plain,
! [X0: $i] :
( duplicatefreeP(cons(X0,iPr_def_13))
| ( iPr_def_10 = iPr_def_13 )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_11939,c_215]) ).
tcf(c_12388,plain,
duplicatefreeP(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_12383,c_8999]) ).
tcf(c_12397,plain,
( equalelemsP(iPr_def_11)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_8987,c_217]) ).
tcf(c_12398,plain,
( equalelemsP(iPr_def_10)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_8986,c_217]) ).
tcf(c_12399,plain,
! [X0: $i] :
( equalelemsP(cons(X0,iPr_def_13))
| ( iPr_def_10 = iPr_def_13 )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_11939,c_217]) ).
tcf(c_12402,plain,
equalelemsP(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_12397,c_8999]) ).
tcf(c_12419,plain,
( duplicatefreeP(iPr_def_10)
| ( nil = sK56 ) ),
inference(superposition,[status(thm)],[c_8998,c_12384]) ).
tcf(c_12420,plain,
( duplicatefreeP(iPr_def_10)
| ( nil = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11917,c_12384]) ).
tcf(c_12429,plain,
( equalelemsP(iPr_def_10)
| ( nil = sK56 ) ),
inference(superposition,[status(thm)],[c_8998,c_12398]) ).
tcf(c_12430,plain,
( equalelemsP(iPr_def_10)
| ( nil = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11917,c_12398]) ).
tcf(c_12457,plain,
( totalorderedP(iPr_def_10)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_12011,c_12278]) ).
tcf(c_12468,plain,
( strictorderedP(iPr_def_10)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_12011,c_12292]) ).
tcf(c_12479,plain,
( duplicatefreeP(iPr_def_10)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_12011,c_12385]) ).
tcf(c_12490,plain,
( equalelemsP(iPr_def_10)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_12011,c_12399]) ).
tcf(c_12505,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_12011,c_12249]) ).
tcf(c_12668,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_12678,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(nil,sK34(X0)) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_155]) ).
tcf(c_12679,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(nil,sK33(X0)) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_155]) ).
tcf(c_12680,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(nil,sK32(X0)) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_155]) ).
tcf(c_12681,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(nil,sK39(X0)) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_155]) ).
tcf(c_12682,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(nil,sK38(X0)) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_155]) ).
tcf(c_12683,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(nil,sK37(X0)) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_155]) ).
tcf(c_12684,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(nil,sK44(X0)) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_155]) ).
tcf(c_12685,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(nil,sK43(X0)) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_155]) ).
tcf(c_12686,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(nil,sK42(X0)) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_155]) ).
tcf(c_12687,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(nil,sK48(X0)) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_155]) ).
tcf(c_12688,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(nil,sK47(X0)) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_155]) ).
tcf(c_12690,plain,
app(nil,sK56) = sK56,
inference(superposition,[status(thm)],[c_9004,c_155]) ).
tcf(c_12691,plain,
app(nil,sK59) = sK59,
inference(superposition,[status(thm)],[c_9003,c_155]) ).
tcf(c_12692,plain,
app(nil,sK58) = sK58,
inference(superposition,[status(thm)],[c_9000,c_155]) ).
tcf(c_12693,plain,
app(nil,iPr_def_13) = iPr_def_13,
inference(superposition,[status(thm)],[c_11916,c_155]) ).
tcf(c_12749,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK56) = sK56 ) ),
inference(superposition,[status(thm)],[c_11939,c_12690]) ).
tcf(c_12753,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK59) = sK59 ) ),
inference(superposition,[status(thm)],[c_11939,c_12691]) ).
tcf(c_12756,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK58) = sK58 ) ),
inference(superposition,[status(thm)],[c_11939,c_12692]) ).
tcf(c_12763,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_12773,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK34(X0),nil) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_232]) ).
tcf(c_12774,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK33(X0),nil) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_232]) ).
tcf(c_12775,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK32(X0),nil) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_232]) ).
tcf(c_12776,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK39(X0),nil) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_232]) ).
tcf(c_12777,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK38(X0),nil) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_232]) ).
tcf(c_12778,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK37(X0),nil) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_232]) ).
tcf(c_12779,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK44(X0),nil) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_232]) ).
tcf(c_12780,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK43(X0),nil) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_232]) ).
tcf(c_12781,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK42(X0),nil) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_232]) ).
tcf(c_12782,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(sK48(X0),nil) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_232]) ).
tcf(c_12783,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(sK47(X0),nil) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_232]) ).
tcf(c_12785,plain,
app(sK56,nil) = sK56,
inference(superposition,[status(thm)],[c_9004,c_232]) ).
tcf(c_12786,plain,
app(sK59,nil) = sK59,
inference(superposition,[status(thm)],[c_9003,c_232]) ).
tcf(c_12787,plain,
app(sK58,nil) = sK58,
inference(superposition,[status(thm)],[c_9000,c_232]) ).
tcf(c_12788,plain,
app(iPr_def_13,nil) = iPr_def_13,
inference(superposition,[status(thm)],[c_11916,c_232]) ).
tcf(c_12850,plain,
( ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_8987,c_140]) ).
tcf(c_12851,plain,
( ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_8986,c_140]) ).
tcf(c_12852,plain,
( ssList(iPr_def_10)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_12011,c_140]) ).
tcf(c_12854,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_12855,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_12856,plain,
( ssList(iPr_def_10)
| ~ ssItem(sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12851,c_141]) ).
tcf(c_12859,plain,
ssList(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_12850,c_141,c_8999]) ).
tcf(c_12860,plain,
( ssList(iPr_def_10)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssItem(sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12852,c_11916]) ).
tcf(c_12877,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(sK49(X0),nil) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_232]) ).
tcf(c_12878,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,sK49(X0)) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_155]) ).
tcf(c_12891,plain,
app(iPr_def_11,nil) = iPr_def_11,
inference(superposition,[status(thm)],[c_12859,c_232]) ).
tcf(c_12892,plain,
app(nil,iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_12859,c_155]) ).
tcf(c_12897,plain,
( ssList(iPr_def_10)
| ( nil = sK56 ) ),
inference(superposition,[status(thm)],[c_8998,c_12856]) ).
tcf(c_12898,plain,
( ssList(iPr_def_10)
| ( nil = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11917,c_12856]) ).
tcf(c_12905,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(sK56,iPr_def_13) = sK56 ) ),
inference(superposition,[status(thm)],[c_11939,c_12785]) ).
tcf(c_12908,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(sK59,iPr_def_13) = sK59 ) ),
inference(superposition,[status(thm)],[c_11939,c_12786]) ).
tcf(c_12911,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(sK58,iPr_def_13) = sK58 ) ),
inference(superposition,[status(thm)],[c_11939,c_12787]) ).
tcf(c_12918,plain,
( ( nil = sK56 )
| ( app(iPr_def_10,nil) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_12897,c_232]) ).
tcf(c_12919,plain,
( ( nil = sK56 )
| ( app(nil,iPr_def_10) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_12897,c_155]) ).
tcf(c_12925,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_11,iPr_def_13) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_11939,c_12891]) ).
tcf(c_12928,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,iPr_def_11) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_11939,c_12892]) ).
tcf(c_12929,plain,
( memberP(iPr_def_11,sK57)
| ~ ssList(nil)
| ~ ssList(app(nil,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_12892,c_12240]) ).
tcf(c_12932,plain,
( memberP(iPr_def_11,sK57)
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_12929,c_12892]) ).
tcf(c_12933,plain,
memberP(iPr_def_11,sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_12932,c_12859,c_141]) ).
tcf(c_12938,plain,
( ( nil = iPr_def_13 )
| ( app(iPr_def_10,nil) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_12898,c_232]) ).
tcf(c_12939,plain,
( ( nil = iPr_def_13 )
| ( app(nil,iPr_def_10) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_12898,c_155]) ).
tcf(c_12948,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,nil) = nil ) ),
inference(superposition,[status(thm)],[c_11965,c_12749]) ).
tcf(c_12962,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(tl(X0),nil) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_232]) ).
tcf(c_12963,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,tl(X0)) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_155]) ).
tcf(c_12977,plain,
( ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_8988,c_153]) ).
tcf(c_12991,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_12992,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_12993,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_12249]) ).
tcf(c_12994,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_12244]) ).
tcf(c_12995,plain,
ssList(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_12977,c_12859,c_9000]) ).
tcf(c_13011,plain,
memberP(iPr_def_12,sK57),
inference(backward_subsumption_resolution,[status(thm)],[c_12336,c_12995]) ).
tcf(c_13022,plain,
app(iPr_def_12,nil) = iPr_def_12,
inference(superposition,[status(thm)],[c_12995,c_232]) ).
tcf(c_13023,plain,
app(nil,iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_12995,c_155]) ).
tcf(c_13024,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_12,iPr_def_13) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11939,c_13022]) ).
tcf(c_13028,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,iPr_def_12) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11939,c_13023]) ).
tcf(c_13048,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(nil,iPr_def_13) = nil ) ),
inference(superposition,[status(thm)],[c_11965,c_12905]) ).
tcf(c_13073,plain,
( memberP(iPr_def_10,sK60)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(app(nil,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_12919,c_12234]) ).
tcf(c_13074,plain,
( memberP(iPr_def_10,sK60)
| ( nil = sK56 )
| ~ ssItem(sK60)
| ~ ssList(app(nil,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13073,c_141]) ).
tcf(c_13090,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(sK52(X0),nil) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_232]) ).
tcf(c_13091,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,sK52(X0)) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_155]) ).
tcf(c_13116,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_13117,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_13127,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_13128,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_13129,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_13130,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_13131,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_13132,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_13133,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_13134,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_13135,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_13136,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_13137,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_13138,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_13140,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_13141,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_13142,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_13143,plain,
( duplicatefreeP(sK56)
| ( sK40(sK56) = sK41(sK56) ) ),
inference(superposition,[status(thm)],[c_9004,c_123]) ).
tcf(c_13144,plain,
( duplicatefreeP(sK59)
| ( sK40(sK59) = sK41(sK59) ) ),
inference(superposition,[status(thm)],[c_9003,c_123]) ).
tcf(c_13145,plain,
( duplicatefreeP(sK58)
| ( sK40(sK58) = sK41(sK58) ) ),
inference(superposition,[status(thm)],[c_9000,c_123]) ).
tcf(c_13146,plain,
( duplicatefreeP(iPr_def_13)
| ( sK40(iPr_def_13) = sK41(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_11916,c_123]) ).
tcf(c_13147,plain,
( duplicatefreeP(iPr_def_12)
| ( sK40(iPr_def_12) = sK41(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_12995,c_123]) ).
tcf(c_13318,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_12939,c_12234]) ).
tcf(c_13319,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_13318,c_141]) ).
tcf(c_13344,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_12668]) ).
tcf(c_13345,plain,
( memberP(sK59,sK57)
| ( app(nil,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ~ ssList(sK58)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_9001,c_12668]) ).
tcf(c_13346,plain,
( ( nil = sK56 )
| ( app(nil,sK8(sK56,sK60)) = sK8(sK56,sK60) )
| ~ ssList(sK56)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_8994,c_12668]) ).
tcf(c_13347,plain,
( ( nil = iPr_def_13 )
| ( app(nil,sK8(sK56,sK60)) = sK8(sK56,sK60) )
| ~ ssList(sK56)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_11928,c_12668]) ).
tcf(c_13348,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_12994,c_12668]) ).
tcf(c_13349,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_12240,c_12668]) ).
tcf(c_13350,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_12993,c_12668]) ).
tcf(c_13351,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_12234,c_12668]) ).
tcf(c_13352,plain,
( ( app(nil,sK8(iPr_def_12,sK57)) = sK8(iPr_def_12,sK57) )
| ~ ssList(iPr_def_12)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_13011,c_12668]) ).
tcf(c_13353,plain,
( ( app(nil,sK8(iPr_def_11,sK57)) = sK8(iPr_def_11,sK57) )
| ~ ssList(iPr_def_11)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_12933,c_12668]) ).
tcf(c_13354,plain,
app(nil,sK8(iPr_def_11,sK57)) = sK8(iPr_def_11,sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_13353,c_12859,c_8999]) ).
tcf(c_13355,plain,
app(nil,sK8(iPr_def_12,sK57)) = sK8(iPr_def_12,sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_13352,c_12995,c_8999]) ).
tcf(c_13356,plain,
( memberP(sK59,sK57)
| ( app(nil,sK8(sK58,sK57)) = sK8(sK58,sK57) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13345,c_9000,c_8999]) ).
tcf(c_13359,plain,
( ( nil = iPr_def_13 )
| ( app(nil,sK8(sK56,sK60)) = sK8(sK56,sK60) )
| ~ ssItem(sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13347,c_9004]) ).
tcf(c_13363,plain,
( ( nil = sK56 )
| ( app(nil,sK8(sK56,sK60)) = sK8(sK56,sK60) )
| ~ ssItem(sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13346,c_9004]) ).
tcf(c_13371,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_13349,c_8999]) ).
tcf(c_13381,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_13348,c_8999]) ).
tcf(c_13404,plain,
( memberP(iPr_def_10,sK60)
| ~ ssList(nil)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_8986,c_168]) ).
tcf(c_13405,plain,
( memberP(iPr_def_10,sK60)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_12011,c_168]) ).
tcf(c_13407,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_12668]) ).
tcf(c_13408,plain,
( memberP(iPr_def_10,sK60)
| ~ ssItem(sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13404,c_141]) ).
tcf(c_13411,plain,
( memberP(iPr_def_10,sK60)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssItem(sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13405,c_11916]) ).
tcf(c_13430,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_13 )
| ( X0 = nil )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_11939,c_182]) ).
tcf(c_13448,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_13 )
| ( X0 = nil )
| ~ ssList(X0)
| ~ rearsegP(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_11939,c_189]) ).
tcf(c_13463,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_13 )
| ( X0 = nil )
| ~ ssList(X0)
| ~ segmentP(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_11939,c_196]) ).
tcf(c_13472,plain,
( ( app(nil,sK8(iPr_def_10,sK60)) = sK8(iPr_def_10,sK60) )
| ~ ssList(iPr_def_10)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_13408,c_12668]) ).
tcf(c_13491,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_11939,c_13354]) ).
tcf(c_13495,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_11939,c_13355]) ).
tcf(c_13503,plain,
( ( app(nil,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ( app(nil,sK8(sK59,sK57)) = sK8(sK59,sK57) )
| ~ ssList(sK59)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_13356,c_12668]) ).
tcf(c_13504,plain,
( ( app(nil,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ( app(nil,sK8(sK59,sK57)) = sK8(sK59,sK57) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13503,c_9003,c_8999]) ).
tcf(c_13510,plain,
( ( nil = iPr_def_13 )
| ( app(nil,sK8(sK56,sK60)) = sK8(sK56,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13359,c_11917]) ).
tcf(c_13520,plain,
( ( nil = sK56 )
| ( app(nil,sK8(sK56,sK60)) = sK8(sK56,sK60) ) ),
inference(global_subsumption_just,[status(thm)],[c_13363,c_252,c_13363]) ).
tcf(c_13533,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ( app(nil,sK8(sK59,sK57)) = sK8(sK59,sK57) ) ),
inference(superposition,[status(thm)],[c_11939,c_13504]) ).
tcf(c_13544,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_13371]) ).
tcf(c_13545,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_8988,c_13371]) ).
tcf(c_13546,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_12892,c_13371]) ).
tcf(c_13550,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_13544,c_12859]) ).
tcf(c_13570,plain,
( rearsegP(iPr_def_12,iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_8988,c_383]) ).
tcf(c_13571,plain,
( rearsegP(iPr_def_13,sK59)
| ~ ssList(iPr_def_12)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_8989,c_383]) ).
tcf(c_13573,plain,
( rearsegP(iPr_def_11,iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12892,c_383]) ).
tcf(c_13574,plain,
( rearsegP(iPr_def_10,iPr_def_10)
| ( nil = iPr_def_13 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12939,c_383]) ).
tcf(c_13575,plain,
( rearsegP(iPr_def_10,iPr_def_10)
| ( nil = sK56 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12919,c_383]) ).
tcf(c_13576,plain,
( rearsegP(sK56,sK56)
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12690,c_383]) ).
tcf(c_13577,plain,
( rearsegP(sK59,sK59)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12691,c_383]) ).
tcf(c_13578,plain,
( rearsegP(sK58,sK58)
| ~ ssList(sK58)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12692,c_383]) ).
tcf(c_13579,plain,
( rearsegP(iPr_def_13,iPr_def_13)
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12693,c_383]) ).
tcf(c_13583,plain,
( rearsegP(sK56,nil)
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12785,c_383]) ).
tcf(c_13584,plain,
( rearsegP(sK59,nil)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12786,c_383]) ).
tcf(c_13585,plain,
( rearsegP(sK58,nil)
| ~ ssList(sK58)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12787,c_383]) ).
tcf(c_13586,plain,
( rearsegP(iPr_def_13,nil)
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12788,c_383]) ).
tcf(c_13587,plain,
( rearsegP(iPr_def_11,nil)
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12891,c_383]) ).
tcf(c_13588,plain,
( rearsegP(sK56,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_12905,c_383]) ).
tcf(c_13589,plain,
( rearsegP(sK59,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_12908,c_383]) ).
tcf(c_13590,plain,
( rearsegP(sK58,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_12911,c_383]) ).
tcf(c_13591,plain,
( rearsegP(iPr_def_10,nil)
| ( nil = iPr_def_13 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12938,c_383]) ).
tcf(c_13592,plain,
( rearsegP(iPr_def_10,nil)
| ( nil = sK56 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12918,c_383]) ).
tcf(c_13593,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_12925,c_383]) ).
tcf(c_13595,plain,
( rearsegP(iPr_def_12,nil)
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_13022,c_383]) ).
tcf(c_13596,plain,
( rearsegP(iPr_def_12,iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_13023,c_383]) ).
tcf(c_13597,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_13024,c_383]) ).
tcf(c_13599,plain,
( rearsegP(sK8(sK58,sK57),sK8(sK58,sK57))
| ( app(nil,sK8(sK59,sK57)) = sK8(sK59,sK57) )
| ~ ssList(nil)
| ~ ssList(sK8(sK58,sK57)) ),
inference(superposition,[status(thm)],[c_13504,c_383]) ).
tcf(c_13600,plain,
( rearsegP(sK8(sK56,sK60),sK8(sK56,sK60))
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(sK8(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_13520,c_383]) ).
tcf(c_13601,plain,
( rearsegP(sK8(sK56,sK60),sK8(sK56,sK60))
| ( nil = iPr_def_13 )
| ~ ssList(nil)
| ~ ssList(sK8(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_13510,c_383]) ).
tcf(c_13602,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_13355,c_383]) ).
tcf(c_13603,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_13354,c_383]) ).
tcf(c_13604,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_13491,c_383]) ).
tcf(c_13605,plain,
rearsegP(iPr_def_12,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_13596,c_12995,c_141]) ).
tcf(c_13606,plain,
rearsegP(iPr_def_12,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_13595,c_12995,c_141]) ).
tcf(c_13607,plain,
rearsegP(iPr_def_11,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_13587,c_12859,c_141]) ).
tcf(c_13608,plain,
rearsegP(iPr_def_13,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_13586,c_11916,c_141]) ).
tcf(c_13609,plain,
rearsegP(sK58,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_13585,c_9000,c_141]) ).
tcf(c_13610,plain,
rearsegP(sK59,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_13584,c_9003,c_141]) ).
tcf(c_13611,plain,
rearsegP(sK56,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_13583,c_9004,c_141]) ).
tcf(c_13612,plain,
rearsegP(iPr_def_13,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_13579,c_11916,c_141]) ).
tcf(c_13613,plain,
rearsegP(sK58,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_13578,c_9000,c_141]) ).
tcf(c_13614,plain,
rearsegP(sK59,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_13577,c_9003,c_141]) ).
tcf(c_13615,plain,
rearsegP(sK56,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_13576,c_9004,c_141]) ).
tcf(c_13616,plain,
rearsegP(iPr_def_11,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_13573,c_12859,c_141]) ).
tcf(c_13617,plain,
rearsegP(iPr_def_13,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_13571,c_12995,c_9003]) ).
tcf(c_13618,plain,
rearsegP(iPr_def_12,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_13570,c_12859,c_9000]) ).
tcf(c_13619,plain,
( rearsegP(iPr_def_12,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13597,c_11916,c_12995]) ).
tcf(c_13622,plain,
( rearsegP(iPr_def_11,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13593,c_11916,c_12859]) ).
tcf(c_13625,plain,
( rearsegP(iPr_def_10,nil)
| ( nil = sK56 )
| ~ ssList(iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13592,c_141]) ).
tcf(c_13629,plain,
( rearsegP(iPr_def_10,nil)
| ( nil = iPr_def_13 )
| ~ ssList(iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13591,c_141]) ).
tcf(c_13633,plain,
( rearsegP(sK58,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13590,c_11916,c_9000]) ).
tcf(c_13636,plain,
( rearsegP(sK59,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13589,c_11916,c_9003]) ).
tcf(c_13639,plain,
( rearsegP(sK56,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13588,c_11916,c_9004]) ).
tcf(c_13642,plain,
( rearsegP(iPr_def_10,iPr_def_10)
| ( nil = sK56 )
| ~ ssList(iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13575,c_141]) ).
tcf(c_13646,plain,
( rearsegP(iPr_def_10,iPr_def_10)
| ( nil = iPr_def_13 )
| ~ ssList(iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13574,c_141]) ).
tcf(c_13650,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_13603,c_141]) ).
tcf(c_13653,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_13602,c_141]) ).
tcf(c_13656,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_13604,c_11916]) ).
tcf(c_13660,plain,
( rearsegP(sK8(sK56,sK60),sK8(sK56,sK60))
| ( nil = iPr_def_13 )
| ~ ssList(sK8(sK56,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13601,c_141]) ).
tcf(c_13664,plain,
( rearsegP(sK8(sK56,sK60),sK8(sK56,sK60))
| ( nil = sK56 )
| ~ ssList(sK8(sK56,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13600,c_141]) ).
tcf(c_13668,plain,
( rearsegP(sK8(sK58,sK57),sK8(sK58,sK57))
| ( app(nil,sK8(sK59,sK57)) = sK8(sK59,sK57) )
| ~ ssList(sK8(sK58,sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13599,c_141]) ).
tcf(c_13700,plain,
( frontsegP(iPr_def_12,sK58)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_8988,c_386]) ).
tcf(c_13701,plain,
( frontsegP(iPr_def_13,iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_8989,c_386]) ).
tcf(c_13703,plain,
( frontsegP(iPr_def_11,nil)
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12892,c_386]) ).
tcf(c_13704,plain,
( frontsegP(iPr_def_10,nil)
| ( nil = iPr_def_13 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12939,c_386]) ).
tcf(c_13705,plain,
( frontsegP(iPr_def_10,nil)
| ( nil = sK56 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12919,c_386]) ).
tcf(c_13706,plain,
( frontsegP(sK56,nil)
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12690,c_386]) ).
tcf(c_13707,plain,
( frontsegP(sK59,nil)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12691,c_386]) ).
tcf(c_13708,plain,
( frontsegP(sK58,nil)
| ~ ssList(sK58)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12692,c_386]) ).
tcf(c_13709,plain,
( frontsegP(iPr_def_13,nil)
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12693,c_386]) ).
tcf(c_13710,plain,
( frontsegP(sK56,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_12749,c_386]) ).
tcf(c_13711,plain,
( frontsegP(sK59,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_12753,c_386]) ).
tcf(c_13712,plain,
( frontsegP(sK58,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_12756,c_386]) ).
tcf(c_13713,plain,
( frontsegP(sK56,sK56)
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12785,c_386]) ).
tcf(c_13714,plain,
( frontsegP(sK59,sK59)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12786,c_386]) ).
tcf(c_13715,plain,
( frontsegP(sK58,sK58)
| ~ ssList(sK58)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12787,c_386]) ).
tcf(c_13716,plain,
( frontsegP(iPr_def_13,iPr_def_13)
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12788,c_386]) ).
tcf(c_13717,plain,
( frontsegP(iPr_def_11,iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12891,c_386]) ).
tcf(c_13721,plain,
( frontsegP(iPr_def_10,iPr_def_10)
| ( nil = iPr_def_13 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12938,c_386]) ).
tcf(c_13722,plain,
( frontsegP(iPr_def_10,iPr_def_10)
| ( nil = sK56 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12918,c_386]) ).
tcf(c_13724,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_12928,c_386]) ).
tcf(c_13725,plain,
( frontsegP(iPr_def_12,iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_13022,c_386]) ).
tcf(c_13726,plain,
( frontsegP(iPr_def_12,nil)
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_13023,c_386]) ).
tcf(c_13728,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_13028,c_386]) ).
tcf(c_13729,plain,
( frontsegP(sK8(sK58,sK57),nil)
| ( app(nil,sK8(sK59,sK57)) = sK8(sK59,sK57) )
| ~ ssList(nil)
| ~ ssList(sK8(sK58,sK57)) ),
inference(superposition,[status(thm)],[c_13504,c_386]) ).
tcf(c_13730,plain,
( frontsegP(sK8(sK56,sK60),nil)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(sK8(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_13520,c_386]) ).
tcf(c_13731,plain,
( frontsegP(sK8(sK56,sK60),nil)
| ( nil = iPr_def_13 )
| ~ ssList(nil)
| ~ ssList(sK8(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_13510,c_386]) ).
tcf(c_13732,plain,
( frontsegP(sK8(iPr_def_12,sK57),nil)
| ~ ssList(nil)
| ~ ssList(sK8(iPr_def_12,sK57)) ),
inference(superposition,[status(thm)],[c_13355,c_386]) ).
tcf(c_13733,plain,
( frontsegP(sK8(iPr_def_11,sK57),nil)
| ~ ssList(nil)
| ~ ssList(sK8(iPr_def_11,sK57)) ),
inference(superposition,[status(thm)],[c_13354,c_386]) ).
tcf(c_13734,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_13491,c_386]) ).
tcf(c_13735,plain,
frontsegP(iPr_def_12,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_13726,c_12995,c_141]) ).
tcf(c_13736,plain,
frontsegP(iPr_def_12,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_13725,c_12995,c_141]) ).
tcf(c_13737,plain,
frontsegP(iPr_def_11,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_13717,c_12859,c_141]) ).
tcf(c_13738,plain,
frontsegP(iPr_def_13,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_13716,c_11916,c_141]) ).
tcf(c_13739,plain,
frontsegP(sK58,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_13715,c_9000,c_141]) ).
tcf(c_13740,plain,
frontsegP(sK59,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_13714,c_9003,c_141]) ).
tcf(c_13741,plain,
frontsegP(sK56,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_13713,c_9004,c_141]) ).
tcf(c_13742,plain,
frontsegP(iPr_def_13,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_13709,c_11916,c_141]) ).
tcf(c_13743,plain,
frontsegP(sK58,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_13708,c_9000,c_141]) ).
tcf(c_13744,plain,
frontsegP(sK59,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_13707,c_9003,c_141]) ).
tcf(c_13745,plain,
frontsegP(sK56,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_13706,c_9004,c_141]) ).
tcf(c_13746,plain,
frontsegP(iPr_def_11,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_13703,c_12859,c_141]) ).
tcf(c_13747,plain,
frontsegP(iPr_def_13,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_13701,c_12995,c_9003]) ).
tcf(c_13748,plain,
frontsegP(iPr_def_12,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_13700,c_12859,c_9000]) ).
tcf(c_13749,plain,
( frontsegP(sK8(iPr_def_11,sK57),nil)
| ~ ssList(sK8(iPr_def_11,sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13733,c_141]) ).
tcf(c_13752,plain,
( frontsegP(sK8(iPr_def_12,sK57),nil)
| ~ ssList(sK8(iPr_def_12,sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13732,c_141]) ).
tcf(c_13755,plain,
( frontsegP(iPr_def_12,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13728,c_11916,c_12995]) ).
tcf(c_13758,plain,
( frontsegP(iPr_def_11,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13724,c_11916,c_12859]) ).
tcf(c_13761,plain,
( frontsegP(iPr_def_10,iPr_def_10)
| ( nil = sK56 )
| ~ ssList(iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13722,c_141]) ).
tcf(c_13765,plain,
( frontsegP(iPr_def_10,iPr_def_10)
| ( nil = iPr_def_13 )
| ~ ssList(iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13721,c_141]) ).
tcf(c_13769,plain,
( frontsegP(sK58,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13712,c_11916,c_9000]) ).
tcf(c_13772,plain,
( frontsegP(sK59,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13711,c_11916,c_9003]) ).
tcf(c_13775,plain,
( frontsegP(sK56,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13710,c_11916,c_9004]) ).
tcf(c_13778,plain,
( frontsegP(iPr_def_10,nil)
| ( nil = sK56 )
| ~ ssList(iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13705,c_141]) ).
tcf(c_13782,plain,
( frontsegP(iPr_def_10,nil)
| ( nil = iPr_def_13 )
| ~ ssList(iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13704,c_141]) ).
tcf(c_13786,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_13734,c_11916]) ).
tcf(c_13790,plain,
( frontsegP(sK8(sK56,sK60),nil)
| ( nil = iPr_def_13 )
| ~ ssList(sK8(sK56,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13731,c_141]) ).
tcf(c_13794,plain,
( frontsegP(sK8(sK56,sK60),nil)
| ( nil = sK56 )
| ~ ssList(sK8(sK56,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13730,c_141]) ).
tcf(c_13798,plain,
( frontsegP(sK8(sK58,sK57),nil)
| ( app(nil,sK8(sK59,sK57)) = sK8(sK59,sK57) )
| ~ ssList(sK8(sK58,sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13729,c_141]) ).
tcf(c_13835,plain,
! [X0: $i] :
( singletonP(cons(X0,nil))
| ~ ssList(nil)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_58]) ).
tcf(c_13836,plain,
( singletonP(cons(sK57,nil))
| ~ ssList(iPr_def_11)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_8987,c_58]) ).
tcf(c_13837,plain,
( singletonP(cons(sK60,nil))
| ~ ssList(iPr_def_10)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_8986,c_58]) ).
tcf(c_13843,plain,
( singletonP(iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssItem(sK57) ),
inference(light_normalisation,[status(thm)],[c_13836,c_8987]) ).
tcf(c_13845,plain,
! [X0: $i] :
( singletonP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13835,c_141]) ).
tcf(c_13870,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_13495,c_386]) ).
tcf(c_13871,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_13495,c_383]) ).
tcf(c_13873,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_13870,c_11916]) ).
tcf(c_13877,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_13871,c_11916]) ).
tcf(c_13893,plain,
( ~ ssList(nil)
| ~ ssItem(sK57)
| ( nil != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_8987,c_142]) ).
tcf(c_13894,plain,
( ~ ssList(nil)
| ~ ssItem(sK60)
| ( nil != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_8986,c_142]) ).
tcf(c_13896,plain,
( ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssItem(sK57)
| ( iPr_def_11 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_12071,c_142]) ).
tcf(c_13897,plain,
( ~ ssItem(sK60)
| ( nil != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13894,c_141]) ).
tcf(c_13900,plain,
nil != iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_13893,c_141,c_8999]) ).
tcf(c_13901,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( iPr_def_11 != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13896,c_11916,c_8999]) ).
tcf(c_13923,plain,
! [X0: $i] :
( ( hd(cons(sK6,X0)) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_51,c_150]) ).
tcf(c_13924,plain,
! [X0: $i] :
( ( hd(cons(sK7,X0)) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_52,c_150]) ).
tcf(c_13925,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_13932,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_13933,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_13934,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_13935,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_13936,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_13937,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_13938,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_13939,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_13940,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_13941,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_13942,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_13943,plain,
! [X0: $i] :
( ( hd(cons(sK57,X0)) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8999,c_150]) ).
tcf(c_13944,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( hd(cons(sK60,X0)) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8998,c_150]) ).
tcf(c_13945,plain,
! [X0: $i] :
( ( nil = iPr_def_13 )
| ( hd(cons(sK60,X0)) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_11917,c_150]) ).
tcf(c_14068,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ( app(iPr_def_13,sK8(sK59,sK57)) = sK8(sK59,sK57) ) ),
inference(superposition,[status(thm)],[c_11939,c_13533]) ).
tcf(c_14069,plain,
( frontsegP(sK8(sK59,sK57),nil)
| ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ~ ssList(nil)
| ~ ssList(sK8(sK59,sK57)) ),
inference(superposition,[status(thm)],[c_13533,c_386]) ).
tcf(c_14070,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(nil)
| ~ ssList(sK8(sK59,sK57)) ),
inference(superposition,[status(thm)],[c_13533,c_383]) ).
tcf(c_14075,plain,
( frontsegP(sK8(sK59,sK57),nil)
| ( 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_14069,c_141]) ).
tcf(c_14080,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_14070,c_141]) ).
tcf(c_14097,plain,
! [X0: $i] :
( ( tl(cons(sK6,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_51,c_152]) ).
tcf(c_14098,plain,
! [X0: $i] :
( ( tl(cons(sK7,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_52,c_152]) ).
tcf(c_14099,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_14106,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_14107,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_14108,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_14109,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_14110,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_14111,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_14112,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_14113,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_14114,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_14115,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_14116,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_14117,plain,
! [X0: $i] :
( ( tl(cons(sK57,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8999,c_152]) ).
tcf(c_14118,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( tl(cons(sK60,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8998,c_152]) ).
tcf(c_14119,plain,
! [X0: $i] :
( ( nil = iPr_def_13 )
| ( tl(cons(sK60,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_11917,c_152]) ).
tcf(c_14290,plain,
( rearsegP(nil,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11965,c_13639]) ).
tcf(c_14305,plain,
( frontsegP(nil,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11965,c_13775]) ).
tcf(c_14318,plain,
( frontsegP(sK8(sK58,sK57),iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK8(sK59,sK57)) = sK8(sK59,sK57) )
| ~ ssList(iPr_def_13)
| ~ ssList(sK8(sK58,sK57)) ),
inference(superposition,[status(thm)],[c_14068,c_386]) ).
tcf(c_14319,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(iPr_def_13)
| ~ ssList(sK8(sK58,sK57)) ),
inference(superposition,[status(thm)],[c_14068,c_383]) ).
tcf(c_14321,plain,
( frontsegP(sK8(sK58,sK57),iPr_def_13)
| ( 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_14318,c_11916]) ).
tcf(c_14326,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_14319,c_11916]) ).
tcf(c_14345,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_14346,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_14356,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_14357,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_14358,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_14359,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_14360,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_14361,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_14362,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_14363,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_14364,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_14365,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_14366,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_14367,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_14369,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_14370,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_14371,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_14372,plain,
( ( nil = sK56 )
| ( hd(sK56) = sK51(sK56) ) ),
inference(superposition,[status(thm)],[c_9004,c_220]) ).
tcf(c_14373,plain,
( ( nil = sK59 )
| ( hd(sK59) = sK51(sK59) ) ),
inference(superposition,[status(thm)],[c_9003,c_220]) ).
tcf(c_14374,plain,
( ( nil = sK58 )
| ( hd(sK58) = sK51(sK58) ) ),
inference(superposition,[status(thm)],[c_9000,c_220]) ).
tcf(c_14375,plain,
( ( nil = iPr_def_13 )
| ( hd(iPr_def_13) = sK51(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_11916,c_220]) ).
tcf(c_14376,plain,
( ( nil = iPr_def_12 )
| ( hd(iPr_def_12) = sK51(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_12995,c_220]) ).
tcf(c_14377,plain,
( ( nil = iPr_def_11 )
| ( hd(iPr_def_11) = sK51(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_12859,c_220]) ).
tcf(c_14378,plain,
( ( nil = iPr_def_13 )
| ( nil = iPr_def_10 )
| ( hd(iPr_def_10) = sK51(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_12898,c_220]) ).
tcf(c_14379,plain,
( ( nil = iPr_def_10 )
| ( nil = sK56 )
| ( hd(iPr_def_10) = sK51(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_12897,c_220]) ).
tcf(c_14380,plain,
hd(iPr_def_11) = sK51(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_14377,c_13900]) ).
tcf(c_14536,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_14537,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_14547,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_14548,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_14549,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_14550,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_14551,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_14552,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_14553,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_14554,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_14555,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_14556,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_14557,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_14558,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_14560,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_14561,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_14562,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_14563,plain,
( ( nil = sK56 )
| ( tl(sK56) = sK52(sK56) ) ),
inference(superposition,[status(thm)],[c_9004,c_222]) ).
tcf(c_14564,plain,
( ( nil = sK59 )
| ( tl(sK59) = sK52(sK59) ) ),
inference(superposition,[status(thm)],[c_9003,c_222]) ).
tcf(c_14565,plain,
( ( nil = sK58 )
| ( tl(sK58) = sK52(sK58) ) ),
inference(superposition,[status(thm)],[c_9000,c_222]) ).
tcf(c_14566,plain,
( ( nil = iPr_def_13 )
| ( tl(iPr_def_13) = sK52(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_11916,c_222]) ).
tcf(c_14567,plain,
( ( nil = iPr_def_12 )
| ( tl(iPr_def_12) = sK52(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_12995,c_222]) ).
tcf(c_14568,plain,
( ( nil = iPr_def_11 )
| ( tl(iPr_def_11) = sK52(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_12859,c_222]) ).
tcf(c_14569,plain,
( ( nil = iPr_def_13 )
| ( nil = iPr_def_10 )
| ( tl(iPr_def_10) = sK52(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_12898,c_222]) ).
tcf(c_14570,plain,
( ( nil = iPr_def_10 )
| ( nil = sK56 )
| ( tl(iPr_def_10) = sK52(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_12897,c_222]) ).
tcf(c_14571,plain,
tl(iPr_def_11) = sK52(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_14568,c_13900]) ).
tcf(c_14724,plain,
( ssItem(hd(iPr_def_11))
| ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_14380,c_219]) ).
tcf(c_14725,plain,
ssItem(hd(iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_14724,c_13900,c_12859]) ).
tcf(c_14726,plain,
! [X0: $i] :
( ( tl(cons(hd(iPr_def_11),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_14725,c_152]) ).
tcf(c_14727,plain,
! [X0: $i] :
( ( hd(cons(hd(iPr_def_11),X0)) = hd(iPr_def_11) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_14725,c_150]) ).
tcf(c_14734,plain,
( ssList(tl(iPr_def_11))
| ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_14571,c_221]) ).
tcf(c_14735,plain,
ssList(tl(iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_14734,c_13900,c_12859]) ).
tcf(c_14741,plain,
( ( tl(iPr_def_11) = nil )
| ( tl(tl(iPr_def_11)) = sK52(tl(iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_14735,c_222]) ).
tcf(c_14742,plain,
( ( tl(iPr_def_11) = nil )
| ( hd(tl(iPr_def_11)) = sK51(tl(iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_14735,c_220]) ).
tcf(c_14743,plain,
( duplicatefreeP(tl(iPr_def_11))
| ( sK40(tl(iPr_def_11)) = sK41(tl(iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_14735,c_123]) ).
tcf(c_14744,plain,
app(tl(iPr_def_11),nil) = tl(iPr_def_11),
inference(superposition,[status(thm)],[c_14735,c_232]) ).
tcf(c_14745,plain,
app(nil,tl(iPr_def_11)) = tl(iPr_def_11),
inference(superposition,[status(thm)],[c_14735,c_155]) ).
tcf(c_14760,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_13943]) ).
tcf(c_14761,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK57,app(X0,X1))) = sK57 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_13943]) ).
tcf(c_14771,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK57,sK34(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_13943]) ).
tcf(c_14772,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK57,sK33(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_13943]) ).
tcf(c_14773,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK57,sK32(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_13943]) ).
tcf(c_14774,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK57,sK39(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_13943]) ).
tcf(c_14775,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK57,sK38(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_13943]) ).
tcf(c_14776,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK57,sK37(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_13943]) ).
tcf(c_14777,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK57,sK44(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_13943]) ).
tcf(c_14778,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK57,sK43(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_13943]) ).
tcf(c_14779,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK57,sK42(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_13943]) ).
tcf(c_14780,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(cons(sK57,sK48(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_13943]) ).
tcf(c_14781,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(cons(sK57,sK47(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_13943]) ).
tcf(c_14782,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK57,cons(X0,X1))) = sK57 )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_13943]) ).
tcf(c_14783,plain,
hd(cons(sK57,nil)) = sK57,
inference(superposition,[status(thm)],[c_141,c_13943]) ).
tcf(c_14784,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK57,sK49(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_13943]) ).
tcf(c_14785,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK57,tl(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_13943]) ).
tcf(c_14786,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK57,sK52(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_13943]) ).
tcf(c_14787,plain,
hd(cons(sK57,sK56)) = sK57,
inference(superposition,[status(thm)],[c_9004,c_13943]) ).
tcf(c_14788,plain,
hd(cons(sK57,sK59)) = sK57,
inference(superposition,[status(thm)],[c_9003,c_13943]) ).
tcf(c_14789,plain,
hd(cons(sK57,sK58)) = sK57,
inference(superposition,[status(thm)],[c_9000,c_13943]) ).
tcf(c_14790,plain,
hd(cons(sK57,iPr_def_13)) = sK57,
inference(superposition,[status(thm)],[c_11916,c_13943]) ).
tcf(c_14791,plain,
hd(cons(sK57,iPr_def_12)) = sK57,
inference(superposition,[status(thm)],[c_12995,c_13943]) ).
tcf(c_14792,plain,
hd(cons(sK57,iPr_def_11)) = sK57,
inference(superposition,[status(thm)],[c_12859,c_13943]) ).
tcf(c_14793,plain,
( ( nil = iPr_def_13 )
| ( hd(cons(sK57,iPr_def_10)) = sK57 ) ),
inference(superposition,[status(thm)],[c_12898,c_13943]) ).
tcf(c_14794,plain,
( ( nil = sK56 )
| ( hd(cons(sK57,iPr_def_10)) = sK57 ) ),
inference(superposition,[status(thm)],[c_12897,c_13943]) ).
tcf(c_14795,plain,
hd(cons(sK57,tl(iPr_def_11))) = sK57,
inference(superposition,[status(thm)],[c_14735,c_13943]) ).
tcf(c_14796,plain,
hd(iPr_def_11) = sK57,
inference(light_normalisation,[status(thm)],[c_14783,c_8987]) ).
tcf(c_14872,plain,
sK51(iPr_def_11) = sK57,
inference(demodulation,[status(thm)],[c_14380,c_14796]) ).
tcf(c_14923,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( hd(cons(sK57,nil)) = sK57 ) ),
inference(superposition,[status(thm)],[c_11965,c_14787]) ).
tcf(c_14932,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_14117]) ).
tcf(c_14933,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_14117]) ).
tcf(c_14943,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK57,sK34(X0))) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_14117]) ).
tcf(c_14944,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK57,sK33(X0))) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_14117]) ).
tcf(c_14945,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK57,sK32(X0))) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_14117]) ).
tcf(c_14946,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK57,sK39(X0))) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_14117]) ).
tcf(c_14947,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK57,sK38(X0))) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_14117]) ).
tcf(c_14948,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK57,sK37(X0))) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_14117]) ).
tcf(c_14949,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK57,sK44(X0))) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_14117]) ).
tcf(c_14950,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK57,sK43(X0))) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_14117]) ).
tcf(c_14951,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK57,sK42(X0))) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_14117]) ).
tcf(c_14952,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( tl(cons(sK57,sK48(X0))) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_14117]) ).
tcf(c_14953,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( tl(cons(sK57,sK47(X0))) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_14117]) ).
tcf(c_14954,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_14117]) ).
tcf(c_14955,plain,
tl(cons(sK57,nil)) = nil,
inference(superposition,[status(thm)],[c_141,c_14117]) ).
tcf(c_14956,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK57,sK49(X0))) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_14117]) ).
tcf(c_14957,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK57,tl(X0))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_14117]) ).
tcf(c_14958,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK57,sK52(X0))) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_14117]) ).
tcf(c_14959,plain,
tl(cons(sK57,sK56)) = sK56,
inference(superposition,[status(thm)],[c_9004,c_14117]) ).
tcf(c_14960,plain,
tl(cons(sK57,sK59)) = sK59,
inference(superposition,[status(thm)],[c_9003,c_14117]) ).
tcf(c_14961,plain,
tl(cons(sK57,sK58)) = sK58,
inference(superposition,[status(thm)],[c_9000,c_14117]) ).
tcf(c_14962,plain,
tl(cons(sK57,iPr_def_13)) = iPr_def_13,
inference(superposition,[status(thm)],[c_11916,c_14117]) ).
tcf(c_14963,plain,
tl(cons(sK57,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_12995,c_14117]) ).
tcf(c_14964,plain,
tl(cons(sK57,iPr_def_11)) = iPr_def_11,
inference(superposition,[status(thm)],[c_12859,c_14117]) ).
tcf(c_14965,plain,
( ( nil = iPr_def_13 )
| ( tl(cons(sK57,iPr_def_10)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_12898,c_14117]) ).
tcf(c_14966,plain,
( ( nil = sK56 )
| ( tl(cons(sK57,iPr_def_10)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_12897,c_14117]) ).
tcf(c_14967,plain,
tl(cons(sK57,tl(iPr_def_11))) = tl(iPr_def_11),
inference(superposition,[status(thm)],[c_14735,c_14117]) ).
tcf(c_14968,plain,
tl(iPr_def_11) = nil,
inference(light_normalisation,[status(thm)],[c_14955,c_8987]) ).
tcf(c_15044,plain,
sK52(iPr_def_11) = nil,
inference(demodulation,[status(thm)],[c_14571,c_14968]) ).
tcf(c_15123,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( tl(cons(sK57,nil)) = nil ) ),
inference(superposition,[status(thm)],[c_11965,c_14959]) ).
tcf(c_15133,plain,
( ssItem(hd(sK56))
| ( nil = sK56 )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_14372,c_219]) ).
tcf(c_15134,plain,
( ssItem(hd(sK56))
| ( nil = sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15133,c_9004]) ).
tcf(c_15145,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_14117]) ).
tcf(c_15146,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_13943]) ).
tcf(c_15147,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_15148,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_15149,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_15150,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_15151,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_15191,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_14117]) ).
tcf(c_15192,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_13943]) ).
tcf(c_15193,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_15194,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_15195,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_15196,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_15197,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_15244,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_14117]) ).
tcf(c_15245,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_13943]) ).
tcf(c_15246,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_15247,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_15248,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_15249,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_15250,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_15297,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_14117]) ).
tcf(c_15298,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_13943]) ).
tcf(c_15299,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_15300,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_15301,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_15302,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_15303,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_15396,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( tl(cons(hd(sK56),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15134,c_152]) ).
tcf(c_15397,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( hd(cons(hd(sK56),X0)) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15134,c_150]) ).
tcf(c_15410,plain,
( ssItem(hd(sK59))
| ( nil = sK59 )
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_14373,c_219]) ).
tcf(c_15411,plain,
( ssItem(hd(sK59))
| ( nil = sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15410,c_9003]) ).
tcf(c_15418,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( tl(cons(hd(sK59),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15411,c_152]) ).
tcf(c_15419,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( hd(cons(hd(sK59),X0)) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15411,c_150]) ).
tcf(c_15432,plain,
( ssItem(hd(sK58))
| ( nil = sK58 )
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_14374,c_219]) ).
tcf(c_15433,plain,
( ssItem(hd(sK58))
| ( nil = sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15432,c_9000]) ).
tcf(c_15440,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( tl(cons(hd(sK58),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15433,c_152]) ).
tcf(c_15441,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( hd(cons(hd(sK58),X0)) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15433,c_150]) ).
tcf(c_15455,plain,
( ssList(tl(sK56))
| ( nil = sK56 )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_14563,c_221]) ).
tcf(c_15456,plain,
( ssList(tl(sK56))
| ( nil = sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15455,c_9004]) ).
tcf(c_15464,plain,
( ( nil = sK56 )
| ( tl(cons(sK57,tl(sK56))) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15456,c_14117]) ).
tcf(c_15465,plain,
( ( nil = sK56 )
| ( hd(cons(sK57,tl(sK56))) = sK57 ) ),
inference(superposition,[status(thm)],[c_15456,c_13943]) ).
tcf(c_15466,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( tl(tl(sK56)) = sK52(tl(sK56)) ) ),
inference(superposition,[status(thm)],[c_15456,c_222]) ).
tcf(c_15467,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( hd(tl(sK56)) = sK51(tl(sK56)) ) ),
inference(superposition,[status(thm)],[c_15456,c_220]) ).
tcf(c_15468,plain,
( duplicatefreeP(tl(sK56))
| ( nil = sK56 )
| ( sK40(tl(sK56)) = sK41(tl(sK56)) ) ),
inference(superposition,[status(thm)],[c_15456,c_123]) ).
tcf(c_15469,plain,
( ( nil = sK56 )
| ( app(tl(sK56),nil) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15456,c_232]) ).
tcf(c_15470,plain,
( ( nil = sK56 )
| ( app(nil,tl(sK56)) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15456,c_155]) ).
tcf(c_15492,plain,
( ssList(tl(sK59))
| ( nil = sK59 )
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_14564,c_221]) ).
tcf(c_15493,plain,
( ssList(tl(sK59))
| ( nil = sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15492,c_9003]) ).
tcf(c_15500,plain,
( ssItem(hd(iPr_def_13))
| ( nil = iPr_def_13 )
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_14375,c_219]) ).
tcf(c_15501,plain,
( ssItem(hd(iPr_def_13))
| ( nil = iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15500,c_11916]) ).
tcf(c_15512,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_14117]) ).
tcf(c_15513,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_13943]) ).
tcf(c_15514,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_15515,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_15516,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_15517,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_15518,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_15579,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_15580,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_15581,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_15582,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_15583,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_15584,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_15585,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_15595,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_15596,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_15597,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_15598,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_15599,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_15600,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_15601,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_15602,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_15603,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_15604,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_15605,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_15606,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_15608,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_15609,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_15610,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_15611,plain,
( ( nil = sK56 )
| ( cons(sK50(sK56),sK49(sK56)) = sK56 ) ),
inference(superposition,[status(thm)],[c_9004,c_147]) ).
tcf(c_15612,plain,
( ( nil = sK59 )
| ( cons(sK50(sK59),sK49(sK59)) = sK59 ) ),
inference(superposition,[status(thm)],[c_9003,c_147]) ).
tcf(c_15613,plain,
( ( nil = sK58 )
| ( cons(sK50(sK58),sK49(sK58)) = sK58 ) ),
inference(superposition,[status(thm)],[c_9000,c_147]) ).
tcf(c_15614,plain,
( ( nil = iPr_def_13 )
| ( cons(sK50(iPr_def_13),sK49(iPr_def_13)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11916,c_147]) ).
tcf(c_15615,plain,
( ( nil = iPr_def_12 )
| ( cons(sK50(iPr_def_12),sK49(iPr_def_12)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_12995,c_147]) ).
tcf(c_15616,plain,
( ( nil = iPr_def_11 )
| ( cons(sK50(iPr_def_11),sK49(iPr_def_11)) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_12859,c_147]) ).
tcf(c_15617,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_12898,c_147]) ).
tcf(c_15618,plain,
( ( nil = iPr_def_10 )
| ( nil = sK56 )
| ( cons(sK50(iPr_def_10),sK49(iPr_def_10)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_12897,c_147]) ).
tcf(c_15619,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( cons(sK50(tl(sK56)),sK49(tl(sK56))) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15456,c_147]) ).
tcf(c_15620,plain,
cons(sK50(iPr_def_11),sK49(iPr_def_11)) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_15616,c_13900]) ).
tcf(c_15837,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( cons(sK50(tl(sK59)),sK49(tl(sK59))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15493,c_147]) ).
tcf(c_15838,plain,
( ( nil = sK59 )
| ( tl(cons(sK57,tl(sK59))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15493,c_14117]) ).
tcf(c_15839,plain,
( ( nil = sK59 )
| ( hd(cons(sK57,tl(sK59))) = sK57 ) ),
inference(superposition,[status(thm)],[c_15493,c_13943]) ).
tcf(c_15840,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( tl(tl(sK59)) = sK52(tl(sK59)) ) ),
inference(superposition,[status(thm)],[c_15493,c_222]) ).
tcf(c_15841,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( hd(tl(sK59)) = sK51(tl(sK59)) ) ),
inference(superposition,[status(thm)],[c_15493,c_220]) ).
tcf(c_15842,plain,
( duplicatefreeP(tl(sK59))
| ( nil = sK59 )
| ( sK40(tl(sK59)) = sK41(tl(sK59)) ) ),
inference(superposition,[status(thm)],[c_15493,c_123]) ).
tcf(c_15843,plain,
( ( nil = sK59 )
| ( app(tl(sK59),nil) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15493,c_232]) ).
tcf(c_15844,plain,
( ( nil = sK59 )
| ( app(nil,tl(sK59)) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15493,c_155]) ).
tcf(c_15876,plain,
( ssList(tl(sK58))
| ( nil = sK58 )
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_14565,c_221]) ).
tcf(c_15877,plain,
( ssList(tl(sK58))
| ( nil = sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15876,c_9000]) ).
tcf(c_15887,plain,
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( cons(sK50(tl(sK58)),sK49(tl(sK58))) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15877,c_147]) ).
tcf(c_15888,plain,
( ( nil = sK58 )
| ( tl(cons(sK57,tl(sK58))) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15877,c_14117]) ).
tcf(c_15889,plain,
( ( nil = sK58 )
| ( hd(cons(sK57,tl(sK58))) = sK57 ) ),
inference(superposition,[status(thm)],[c_15877,c_13943]) ).
tcf(c_15890,plain,
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( tl(tl(sK58)) = sK52(tl(sK58)) ) ),
inference(superposition,[status(thm)],[c_15877,c_222]) ).
tcf(c_15891,plain,
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( hd(tl(sK58)) = sK51(tl(sK58)) ) ),
inference(superposition,[status(thm)],[c_15877,c_220]) ).
tcf(c_15892,plain,
( duplicatefreeP(tl(sK58))
| ( nil = sK58 )
| ( sK40(tl(sK58)) = sK41(tl(sK58)) ) ),
inference(superposition,[status(thm)],[c_15877,c_123]) ).
tcf(c_15893,plain,
( ( nil = sK58 )
| ( app(tl(sK58),nil) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15877,c_232]) ).
tcf(c_15894,plain,
( ( nil = sK58 )
| ( app(nil,tl(sK58)) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15877,c_155]) ).
tcf(c_15927,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_15611,c_54]) ).
tcf(c_15929,plain,
( ( nil = sK56 )
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ( sK49(sK56) != sK56 ) ),
inference(superposition,[status(thm)],[c_15611,c_142]) ).
tcf(c_15930,plain,
( memberP(sK56,sK50(sK56))
| ( nil = sK56 )
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56)) ),
inference(superposition,[status(thm)],[c_15611,c_168]) ).
tcf(c_15954,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_15612,c_54]) ).
tcf(c_15956,plain,
( ( nil = sK59 )
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ( sK49(sK59) != sK59 ) ),
inference(superposition,[status(thm)],[c_15612,c_142]) ).
tcf(c_15957,plain,
( memberP(sK59,sK50(sK59))
| ( nil = sK59 )
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59)) ),
inference(superposition,[status(thm)],[c_15612,c_168]) ).
tcf(c_15981,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_15613,c_54]) ).
tcf(c_15983,plain,
( ( nil = sK58 )
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ( sK49(sK58) != sK58 ) ),
inference(superposition,[status(thm)],[c_15613,c_142]) ).
tcf(c_15984,plain,
( memberP(sK58,sK50(sK58))
| ( nil = sK58 )
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58)) ),
inference(superposition,[status(thm)],[c_15613,c_168]) ).
tcf(c_16010,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_13944]) ).
tcf(c_16011,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_13944]) ).
tcf(c_16012,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_13944]) ).
tcf(c_16013,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_13944]) ).
tcf(c_16014,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_13944]) ).
tcf(c_16015,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_13944]) ).
tcf(c_16016,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_13944]) ).
tcf(c_16026,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK34(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_13944]) ).
tcf(c_16027,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK33(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_13944]) ).
tcf(c_16028,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK32(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_13944]) ).
tcf(c_16029,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK39(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_13944]) ).
tcf(c_16030,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK38(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_13944]) ).
tcf(c_16031,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK37(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_13944]) ).
tcf(c_16032,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK44(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_13944]) ).
tcf(c_16033,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK43(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_13944]) ).
tcf(c_16034,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK42(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_13944]) ).
tcf(c_16035,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK48(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_13944]) ).
tcf(c_16036,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK47(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_13944]) ).
tcf(c_16037,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_13944]) ).
tcf(c_16038,plain,
( ( nil = sK56 )
| ( hd(cons(sK60,nil)) = sK60 ) ),
inference(superposition,[status(thm)],[c_141,c_13944]) ).
tcf(c_16039,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( hd(cons(sK60,sK49(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_13944]) ).
tcf(c_16040,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( hd(cons(sK60,tl(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_13944]) ).
tcf(c_16041,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( hd(cons(sK60,sK52(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_13944]) ).
tcf(c_16042,plain,
( ( nil = sK56 )
| ( hd(cons(sK60,sK56)) = sK60 ) ),
inference(superposition,[status(thm)],[c_9004,c_13944]) ).
tcf(c_16043,plain,
( ( nil = sK56 )
| ( hd(cons(sK60,sK59)) = sK60 ) ),
inference(superposition,[status(thm)],[c_9003,c_13944]) ).
tcf(c_16044,plain,
( ( nil = sK56 )
| ( hd(cons(sK60,sK58)) = sK60 ) ),
inference(superposition,[status(thm)],[c_9000,c_13944]) ).
tcf(c_16045,plain,
( ( nil = sK56 )
| ( hd(cons(sK60,iPr_def_13)) = sK60 ) ),
inference(superposition,[status(thm)],[c_11916,c_13944]) ).
tcf(c_16046,plain,
( ( nil = sK56 )
| ( hd(cons(sK60,iPr_def_12)) = sK60 ) ),
inference(superposition,[status(thm)],[c_12995,c_13944]) ).
tcf(c_16047,plain,
( ( nil = sK56 )
| ( hd(cons(sK60,iPr_def_11)) = sK60 ) ),
inference(superposition,[status(thm)],[c_12859,c_13944]) ).
tcf(c_16049,plain,
( ( nil = sK56 )
| ( hd(cons(sK60,iPr_def_10)) = sK60 ) ),
inference(superposition,[status(thm)],[c_12897,c_13944]) ).
tcf(c_16050,plain,
( ( nil = sK56 )
| ( hd(cons(sK60,tl(sK56))) = sK60 ) ),
inference(superposition,[status(thm)],[c_15456,c_13944]) ).
tcf(c_16051,plain,
( ( nil = sK59 )
| ( nil = sK56 )
| ( hd(cons(sK60,tl(sK59))) = sK60 ) ),
inference(superposition,[status(thm)],[c_15493,c_13944]) ).
tcf(c_16052,plain,
( ( nil = sK58 )
| ( nil = sK56 )
| ( hd(cons(sK60,tl(sK58))) = sK60 ) ),
inference(superposition,[status(thm)],[c_15877,c_13944]) ).
tcf(c_16067,plain,
( ( nil = sK56 )
| ( hd(iPr_def_10) = sK60 ) ),
inference(light_normalisation,[status(thm)],[c_16038,c_8986]) ).
tcf(c_16348,plain,
( ssItem(hd(iPr_def_12))
| ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_14376,c_219]) ).
tcf(c_16349,plain,
( ssItem(hd(iPr_def_12))
| ( nil = iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16348,c_12995]) ).
tcf(c_16358,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_16359,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_16360,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_16361,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_16362,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_16363,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_16364,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_16374,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_16375,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_16376,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_16377,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_16378,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_16379,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_16380,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_16381,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_16382,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_16383,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_16384,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_16385,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_16387,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_16388,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_16389,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_16390,plain,
( ( nil = sK56 )
| ( cons(hd(sK56),tl(sK56)) = sK56 ) ),
inference(superposition,[status(thm)],[c_9004,c_224]) ).
tcf(c_16391,plain,
( ( nil = sK59 )
| ( cons(hd(sK59),tl(sK59)) = sK59 ) ),
inference(superposition,[status(thm)],[c_9003,c_224]) ).
tcf(c_16392,plain,
( ( nil = sK58 )
| ( cons(hd(sK58),tl(sK58)) = sK58 ) ),
inference(superposition,[status(thm)],[c_9000,c_224]) ).
tcf(c_16393,plain,
( ( nil = iPr_def_13 )
| ( cons(hd(iPr_def_13),tl(iPr_def_13)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11916,c_224]) ).
tcf(c_16394,plain,
( ( nil = iPr_def_12 )
| ( cons(hd(iPr_def_12),tl(iPr_def_12)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_12995,c_224]) ).
tcf(c_16395,plain,
( ( nil = iPr_def_11 )
| ( cons(hd(iPr_def_11),tl(iPr_def_11)) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_12859,c_224]) ).
tcf(c_16396,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_12898,c_224]) ).
tcf(c_16397,plain,
( ( nil = iPr_def_10 )
| ( nil = sK56 )
| ( cons(hd(iPr_def_10),tl(iPr_def_10)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_12897,c_224]) ).
tcf(c_16398,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( cons(hd(tl(sK56)),tl(tl(sK56))) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15456,c_224]) ).
tcf(c_16399,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( cons(hd(tl(sK59)),tl(tl(sK59))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15493,c_224]) ).
tcf(c_16400,plain,
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( cons(hd(tl(sK58)),tl(tl(sK58))) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15877,c_224]) ).
tcf(c_16728,plain,
! [X0: $i] :
( ( app(cons(sK6,nil),X0) = cons(sK6,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_51,c_227]) ).
tcf(c_16729,plain,
! [X0: $i] :
( ( app(cons(sK7,nil),X0) = cons(sK7,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_52,c_227]) ).
tcf(c_16730,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_16737,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_16738,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_16739,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_16740,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_16741,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_16742,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_16743,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_16744,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_16745,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_16746,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_16747,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_16748,plain,
! [X0: $i] :
( ( app(cons(sK57,nil),X0) = cons(sK57,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8999,c_227]) ).
tcf(c_16749,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( app(cons(sK60,nil),X0) = cons(sK60,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8998,c_227]) ).
tcf(c_16750,plain,
! [X0: $i] :
( ( nil = iPr_def_13 )
| ( app(cons(sK60,nil),X0) = cons(sK60,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_11917,c_227]) ).
tcf(c_16751,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( app(cons(hd(sK56),nil),X0) = cons(hd(sK56),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15134,c_227]) ).
tcf(c_16752,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( app(cons(hd(sK59),nil),X0) = cons(hd(sK59),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15411,c_227]) ).
tcf(c_16753,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( app(cons(hd(sK58),nil),X0) = cons(hd(sK58),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15433,c_227]) ).
tcf(c_16754,plain,
! [X0: $i] :
( ( cons(sK57,X0) = app(iPr_def_11,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_16748,c_8987]) ).
tcf(c_16761,plain,
! [X0: $i] :
( ( nil = iPr_def_13 )
| ( cons(sK60,X0) = app(iPr_def_10,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_16750,c_8986]) ).
tcf(c_16765,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( cons(sK60,X0) = app(iPr_def_10,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_16749,c_8986]) ).
tcf(c_17019,plain,
( totalorderedP(sK49(sK56))
| ( nil = sK56 )
| ( sK49(sK56) = nil )
| ~ totalorderedP(sK56)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56)) ),
inference(superposition,[status(thm)],[c_15611,c_207]) ).
tcf(c_17020,plain,
( totalorderedP(sK49(sK59))
| ( nil = sK59 )
| ( sK49(sK59) = nil )
| ~ totalorderedP(sK59)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59)) ),
inference(superposition,[status(thm)],[c_15612,c_207]) ).
tcf(c_17021,plain,
( totalorderedP(sK49(sK58))
| ( nil = sK58 )
| ( sK49(sK58) = nil )
| ~ totalorderedP(sK58)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58)) ),
inference(superposition,[status(thm)],[c_15613,c_207]) ).
tcf(c_17124,plain,
( strictorderedP(sK49(sK56))
| ( nil = sK56 )
| ( sK49(sK56) = nil )
| ~ strictorderedP(sK56)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56)) ),
inference(superposition,[status(thm)],[c_15611,c_213]) ).
tcf(c_17125,plain,
( strictorderedP(sK49(sK59))
| ( nil = sK59 )
| ( sK49(sK59) = nil )
| ~ strictorderedP(sK59)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59)) ),
inference(superposition,[status(thm)],[c_15612,c_213]) ).
tcf(c_17126,plain,
( strictorderedP(sK49(sK58))
| ( nil = sK58 )
| ( sK49(sK58) = nil )
| ~ strictorderedP(sK58)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58)) ),
inference(superposition,[status(thm)],[c_15613,c_213]) ).
tcf(c_17149,plain,
( singletonP(iPr_def_11)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_8987,c_13845]) ).
tcf(c_17150,plain,
( singletonP(iPr_def_10)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_8986,c_13845]) ).
tcf(c_17151,plain,
! [X0: $i] :
( singletonP(cons(X0,iPr_def_13))
| ( iPr_def_10 = iPr_def_13 )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_11939,c_13845]) ).
tcf(c_17152,plain,
! [X0: $i] :
( ( cons(sK10(cons(X0,nil)),nil) = cons(X0,nil) )
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(superposition,[status(thm)],[c_13845,c_60]) ).
tcf(c_17155,plain,
singletonP(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_17149,c_8999]) ).
tcf(c_17163,plain,
( ( cons(sK10(iPr_def_11),nil) = iPr_def_11 )
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_17155,c_60]) ).
tcf(c_17164,plain,
cons(sK10(iPr_def_11),nil) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_17163,c_12859]) ).
tcf(c_17173,plain,
( singletonP(iPr_def_10)
| ( nil = sK56 ) ),
inference(superposition,[status(thm)],[c_8998,c_17150]) ).
tcf(c_17174,plain,
( singletonP(iPr_def_10)
| ( nil = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11917,c_17150]) ).
tcf(c_17204,plain,
( ( nil = sK56 )
| ( cons(sK10(iPr_def_10),nil) = iPr_def_10 )
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_17173,c_60]) ).
tcf(c_17224,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_16390,c_54]) ).
tcf(c_17225,plain,
( strictorderedP(tl(sK56))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ strictorderedP(sK56)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56)) ),
inference(superposition,[status(thm)],[c_16390,c_213]) ).
tcf(c_17226,plain,
( totalorderedP(tl(sK56))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ totalorderedP(sK56)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56)) ),
inference(superposition,[status(thm)],[c_16390,c_207]) ).
tcf(c_17228,plain,
( ( nil = sK56 )
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ( tl(sK56) != sK56 ) ),
inference(superposition,[status(thm)],[c_16390,c_142]) ).
tcf(c_17229,plain,
( memberP(sK56,hd(sK56))
| ( nil = sK56 )
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56)) ),
inference(superposition,[status(thm)],[c_16390,c_168]) ).
tcf(c_17262,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_16391,c_54]) ).
tcf(c_17263,plain,
( strictorderedP(tl(sK59))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ strictorderedP(sK59)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59)) ),
inference(superposition,[status(thm)],[c_16391,c_213]) ).
tcf(c_17264,plain,
( totalorderedP(tl(sK59))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ totalorderedP(sK59)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59)) ),
inference(superposition,[status(thm)],[c_16391,c_207]) ).
tcf(c_17266,plain,
( ( nil = sK59 )
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ( tl(sK59) != sK59 ) ),
inference(superposition,[status(thm)],[c_16391,c_142]) ).
tcf(c_17267,plain,
( memberP(sK59,hd(sK59))
| ( nil = sK59 )
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59)) ),
inference(superposition,[status(thm)],[c_16391,c_168]) ).
tcf(c_17370,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_16392,c_54]) ).
tcf(c_17371,plain,
( strictorderedP(tl(sK58))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ strictorderedP(sK58)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58)) ),
inference(superposition,[status(thm)],[c_16392,c_213]) ).
tcf(c_17372,plain,
( totalorderedP(tl(sK58))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ totalorderedP(sK58)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58)) ),
inference(superposition,[status(thm)],[c_16392,c_207]) ).
tcf(c_17374,plain,
( ( nil = sK58 )
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ( tl(sK58) != sK58 ) ),
inference(superposition,[status(thm)],[c_16392,c_142]) ).
tcf(c_17375,plain,
( memberP(sK58,hd(sK58))
| ( nil = sK58 )
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58)) ),
inference(superposition,[status(thm)],[c_16392,c_168]) ).
tcf(c_17410,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_14118]) ).
tcf(c_17411,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_14118]) ).
tcf(c_17412,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_14118]) ).
tcf(c_17413,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_14118]) ).
tcf(c_17414,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_14118]) ).
tcf(c_17415,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_14118]) ).
tcf(c_17416,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_14118]) ).
tcf(c_17426,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK34(X0))) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_14118]) ).
tcf(c_17427,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK33(X0))) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_14118]) ).
tcf(c_17428,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK32(X0))) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_14118]) ).
tcf(c_17429,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK39(X0))) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_14118]) ).
tcf(c_17430,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK38(X0))) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_14118]) ).
tcf(c_17431,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK37(X0))) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_14118]) ).
tcf(c_17432,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK44(X0))) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_14118]) ).
tcf(c_17433,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK43(X0))) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_14118]) ).
tcf(c_17434,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK42(X0))) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_14118]) ).
tcf(c_17435,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK48(X0))) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_14118]) ).
tcf(c_17436,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK47(X0))) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_14118]) ).
tcf(c_17437,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_14118]) ).
tcf(c_17438,plain,
( ( nil = sK56 )
| ( tl(cons(sK60,nil)) = nil ) ),
inference(superposition,[status(thm)],[c_141,c_14118]) ).
tcf(c_17439,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( tl(cons(sK60,sK49(X0))) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_14118]) ).
tcf(c_17440,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( tl(cons(sK60,tl(X0))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_14118]) ).
tcf(c_17441,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( tl(cons(sK60,sK52(X0))) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_14118]) ).
tcf(c_17442,plain,
( ( nil = sK56 )
| ( tl(cons(sK60,sK56)) = sK56 ) ),
inference(superposition,[status(thm)],[c_9004,c_14118]) ).
tcf(c_17443,plain,
( ( nil = sK56 )
| ( tl(cons(sK60,sK59)) = sK59 ) ),
inference(superposition,[status(thm)],[c_9003,c_14118]) ).
tcf(c_17444,plain,
( ( nil = sK56 )
| ( tl(cons(sK60,sK58)) = sK58 ) ),
inference(superposition,[status(thm)],[c_9000,c_14118]) ).
tcf(c_17445,plain,
( ( nil = sK56 )
| ( tl(cons(sK60,iPr_def_13)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11916,c_14118]) ).
tcf(c_17446,plain,
( ( nil = sK56 )
| ( tl(cons(sK60,iPr_def_12)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_12995,c_14118]) ).
tcf(c_17447,plain,
( ( nil = sK56 )
| ( tl(cons(sK60,iPr_def_11)) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_12859,c_14118]) ).
tcf(c_17449,plain,
( ( nil = sK56 )
| ( tl(cons(sK60,iPr_def_10)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_12897,c_14118]) ).
tcf(c_17450,plain,
( ( nil = sK56 )
| ( tl(cons(sK60,tl(sK56))) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15456,c_14118]) ).
tcf(c_17451,plain,
( ( nil = sK59 )
| ( nil = sK56 )
| ( tl(cons(sK60,tl(sK59))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15493,c_14118]) ).
tcf(c_17452,plain,
( ( nil = sK58 )
| ( nil = sK56 )
| ( tl(cons(sK60,tl(sK58))) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15877,c_14118]) ).
tcf(c_17467,plain,
( ( nil = sK56 )
| ( tl(iPr_def_10) = nil ) ),
inference(light_normalisation,[status(thm)],[c_17438,c_8986]) ).
tcf(c_17724,plain,
( ssItem(hd(iPr_def_10))
| ( nil = iPr_def_13 )
| ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_14378,c_219]) ).
tcf(c_17738,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ( nil != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8988,c_230]) ).
tcf(c_17739,plain,
( ( nil = sK59 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ( nil != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_8989,c_230]) ).
tcf(c_17776,plain,
( ( nil = sK59 )
| ( nil != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17739,c_12995,c_9003]) ).
tcf(c_17779,plain,
nil != iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_17738,c_13900,c_12859,c_9000]) ).
tcf(c_17780,plain,
hd(iPr_def_12) = sK51(iPr_def_12),
inference(backward_subsumption_resolution,[status(thm)],[c_14376,c_17779]) ).
tcf(c_17804,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ( nil != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_8989,c_231]) ).
tcf(c_17841,plain,
( ( nil = iPr_def_12 )
| ( nil != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17804,c_12995,c_9003]) ).
tcf(c_17875,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_386,c_63]) ).
tcf(c_17876,plain,
! [X0: $i] :
( ( app(X0,sK11(X0,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175,c_63]) ).
tcf(c_17877,plain,
! [X0: $i] :
( ( app(nil,sK11(X0,nil)) = X0 )
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_180,c_63]) ).
tcf(c_17878,plain,
( ( app(nil,sK11(nil,nil)) = nil )
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_375,c_63]) ).
tcf(c_17879,plain,
( ( app(iPr_def_13,sK11(iPr_def_13,iPr_def_13)) = iPr_def_13 )
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_13738,c_63]) ).
tcf(c_17880,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_12162,c_63]) ).
tcf(c_17881,plain,
( ( app(nil,sK11(iPr_def_13,nil)) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_13742,c_63]) ).
tcf(c_17882,plain,
( ( app(sK58,sK11(iPr_def_12,sK58)) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_13748,c_63]) ).
tcf(c_17883,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_13747,c_63]) ).
tcf(c_17884,plain,
( ( app(nil,sK11(iPr_def_11,nil)) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_13746,c_63]) ).
tcf(c_17885,plain,
( ( app(nil,sK11(sK56,nil)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_13745,c_63]) ).
tcf(c_17886,plain,
( ( app(nil,sK11(sK59,nil)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_13744,c_63]) ).
tcf(c_17887,plain,
( ( app(nil,sK11(sK58,nil)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_13743,c_63]) ).
tcf(c_17888,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_13775,c_63]) ).
tcf(c_17889,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_13772,c_63]) ).
tcf(c_17890,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_13769,c_63]) ).
tcf(c_17891,plain,
( ( app(sK56,sK11(sK56,sK56)) = sK56 )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_13741,c_63]) ).
tcf(c_17892,plain,
( ( app(sK59,sK11(sK59,sK59)) = sK59 )
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_13740,c_63]) ).
tcf(c_17893,plain,
( ( app(sK58,sK11(sK58,sK58)) = sK58 )
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_13739,c_63]) ).
tcf(c_17894,plain,
( ( app(iPr_def_11,sK11(iPr_def_11,iPr_def_11)) = iPr_def_11 )
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_13737,c_63]) ).
tcf(c_17895,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_13758,c_63]) ).
tcf(c_17896,plain,
( ( app(iPr_def_12,sK11(iPr_def_12,iPr_def_12)) = iPr_def_12 )
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_13736,c_63]) ).
tcf(c_17897,plain,
( ( app(nil,sK11(iPr_def_12,nil)) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_13735,c_63]) ).
tcf(c_17898,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_13755,c_63]) ).
tcf(c_17899,plain,
app(iPr_def_12,sK11(iPr_def_12,iPr_def_12)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_17896,c_12995]) ).
tcf(c_17900,plain,
app(iPr_def_11,sK11(iPr_def_11,iPr_def_11)) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_17894,c_12859]) ).
tcf(c_17901,plain,
app(sK58,sK11(sK58,sK58)) = sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_17893,c_9000]) ).
tcf(c_17902,plain,
app(sK59,sK11(sK59,sK59)) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_17892,c_9003]) ).
tcf(c_17903,plain,
app(sK56,sK11(sK56,sK56)) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_17891,c_9004]) ).
tcf(c_17904,plain,
app(iPr_def_13,sK11(iPr_def_13,iPr_def_13)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_17879,c_11916]) ).
tcf(c_17905,plain,
app(nil,sK11(nil,nil)) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_17878,c_141]) ).
tcf(c_17908,plain,
app(nil,sK11(iPr_def_12,nil)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_17897,c_12995,c_141]) ).
tcf(c_17909,plain,
app(nil,sK11(sK58,nil)) = sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_17887,c_9000,c_141]) ).
tcf(c_17910,plain,
app(nil,sK11(sK59,nil)) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_17886,c_9003,c_141]) ).
tcf(c_17911,plain,
app(nil,sK11(sK56,nil)) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_17885,c_9004,c_141]) ).
tcf(c_17912,plain,
app(nil,sK11(iPr_def_11,nil)) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_17884,c_12859,c_141]) ).
tcf(c_17913,plain,
app(iPr_def_12,sK11(iPr_def_13,iPr_def_12)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_17883,c_11916,c_12995]) ).
tcf(c_17914,plain,
app(sK58,sK11(iPr_def_12,sK58)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_17882,c_12995,c_9000]) ).
tcf(c_17915,plain,
app(nil,sK11(iPr_def_13,nil)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_17881,c_11916,c_141]) ).
tcf(c_17916,plain,
! [X0: $i] :
( ( app(nil,sK11(X0,nil)) = X0 )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17877,c_141]) ).
tcf(c_17919,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_17898,c_11916,c_12995]) ).
tcf(c_17922,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_17895,c_11916,c_12859]) ).
tcf(c_17925,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK11(sK58,iPr_def_13)) = sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17890,c_11916,c_9000]) ).
tcf(c_17928,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK11(sK59,iPr_def_13)) = sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17889,c_11916,c_9003]) ).
tcf(c_17931,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK11(sK56,iPr_def_13)) = sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17888,c_11916,c_9004]) ).
tcf(c_17934,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_17880,c_11916]) ).
tcf(c_18003,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( iPr_def_12 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11939,c_17779]) ).
tcf(c_18006,plain,
singletonP(iPr_def_10),
inference(global_subsumption_just,[status(thm)],[c_17174,c_17174,c_17779,c_17841]) ).
tcf(c_18008,plain,
( ( cons(sK10(iPr_def_10),nil) = iPr_def_10 )
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_18006,c_60]) ).
tcf(c_18019,plain,
( ( sK11(sK58,sK58) = nil )
| ~ ssList(sK58)
| ~ ssList(sK11(sK58,sK58))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_17901,c_230]) ).
tcf(c_18021,plain,
( rearsegP(sK58,sK11(sK58,sK58))
| ~ ssList(sK58)
| ~ ssList(sK11(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_17901,c_383]) ).
tcf(c_18023,plain,
( rearsegP(sK58,sK11(sK58,sK58))
| ~ ssList(sK11(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18021,c_9000]) ).
tcf(c_18026,plain,
( ( sK11(sK58,sK58) = nil )
| ~ ssList(sK11(sK58,sK58))
| ( nil != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18019,c_9000]) ).
tcf(c_18042,plain,
( ( sK11(sK59,sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(sK11(sK59,sK59))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_17902,c_230]) ).
tcf(c_18044,plain,
( rearsegP(sK59,sK11(sK59,sK59))
| ~ ssList(sK59)
| ~ ssList(sK11(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_17902,c_383]) ).
tcf(c_18046,plain,
( rearsegP(sK59,sK11(sK59,sK59))
| ~ ssList(sK11(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18044,c_9003]) ).
tcf(c_18049,plain,
( ( sK11(sK59,sK59) = nil )
| ~ ssList(sK11(sK59,sK59))
| ( nil != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18042,c_9003]) ).
tcf(c_18057,plain,
( ( sK11(sK56,sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(sK11(sK56,sK56))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_17903,c_230]) ).
tcf(c_18059,plain,
( rearsegP(sK56,sK11(sK56,sK56))
| ~ ssList(sK56)
| ~ ssList(sK11(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_17903,c_383]) ).
tcf(c_18061,plain,
( rearsegP(sK56,sK11(sK56,sK56))
| ~ ssList(sK11(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18059,c_9004]) ).
tcf(c_18064,plain,
( ( sK11(sK56,sK56) = nil )
| ~ ssList(sK11(sK56,sK56))
| ( nil != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18057,c_9004]) ).
tcf(c_18082,plain,
( ( sK11(sK58,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK11(sK58,nil))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_17909,c_230]) ).
tcf(c_18084,plain,
( rearsegP(sK58,sK11(sK58,nil))
| ~ ssList(nil)
| ~ ssList(sK11(sK58,nil)) ),
inference(superposition,[status(thm)],[c_17909,c_383]) ).
tcf(c_18086,plain,
( rearsegP(sK58,sK11(sK58,nil))
| ~ ssList(sK11(sK58,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18084,c_141]) ).
tcf(c_18089,plain,
( ( sK11(sK58,nil) = nil )
| ~ ssList(sK11(sK58,nil))
| ( nil != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18082,c_141]) ).
tcf(c_18104,plain,
( ( sK11(sK59,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK11(sK59,nil))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_17910,c_230]) ).
tcf(c_18106,plain,
( rearsegP(sK59,sK11(sK59,nil))
| ~ ssList(nil)
| ~ ssList(sK11(sK59,nil)) ),
inference(superposition,[status(thm)],[c_17910,c_383]) ).
tcf(c_18108,plain,
( rearsegP(sK59,sK11(sK59,nil))
| ~ ssList(sK11(sK59,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18106,c_141]) ).
tcf(c_18111,plain,
( ( sK11(sK59,nil) = nil )
| ~ ssList(sK11(sK59,nil))
| ( nil != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18104,c_141]) ).
tcf(c_18147,plain,
( ( sK11(sK56,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK11(sK56,nil))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_17911,c_230]) ).
tcf(c_18149,plain,
( rearsegP(sK56,sK11(sK56,nil))
| ~ ssList(nil)
| ~ ssList(sK11(sK56,nil)) ),
inference(superposition,[status(thm)],[c_17911,c_383]) ).
tcf(c_18151,plain,
( rearsegP(sK56,sK11(sK56,nil))
| ~ ssList(sK11(sK56,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18149,c_141]) ).
tcf(c_18154,plain,
( ( sK11(sK56,nil) = nil )
| ~ ssList(sK11(sK56,nil))
| ( nil != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18147,c_141]) ).
tcf(c_18390,plain,
( rearsegP(iPr_def_12,sK11(iPr_def_12,sK58))
| ~ ssList(sK58)
| ~ ssList(sK11(iPr_def_12,sK58)) ),
inference(superposition,[status(thm)],[c_17914,c_383]) ).
tcf(c_18392,plain,
( rearsegP(iPr_def_12,sK11(iPr_def_12,sK58))
| ~ ssList(sK11(iPr_def_12,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18390,c_9000]) ).
tcf(c_18395,plain,
nil != iPr_def_13,
inference(global_subsumption_just,[status(thm)],[c_17776,c_17779,c_17841]) ).
tcf(c_18397,plain,
( ( nil = iPr_def_10 )
| ( hd(iPr_def_10) = sK51(iPr_def_10) ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_14378,c_18395]) ).
tcf(c_18398,plain,
hd(iPr_def_13) = sK51(iPr_def_13),
inference(backward_subsumption_resolution,[status(thm)],[c_14375,c_18395]) ).
tcf(c_18399,plain,
app(nil,sK8(sK56,sK60)) = sK8(sK56,sK60),
inference(backward_subsumption_resolution,[status(thm)],[c_13510,c_18395]) ).
tcf(c_18400,plain,
app(nil,iPr_def_10) = iPr_def_10,
inference(backward_subsumption_resolution,[status(thm)],[c_12939,c_18395]) ).
tcf(c_18401,plain,
app(iPr_def_10,nil) = iPr_def_10,
inference(backward_subsumption_resolution,[status(thm)],[c_12938,c_18395]) ).
tcf(c_18402,plain,
ssList(iPr_def_10),
inference(backward_subsumption_resolution,[status(thm)],[c_12898,c_18395]) ).
tcf(c_18403,plain,
equalelemsP(iPr_def_10),
inference(backward_subsumption_resolution,[status(thm)],[c_12430,c_18395]) ).
tcf(c_18404,plain,
duplicatefreeP(iPr_def_10),
inference(backward_subsumption_resolution,[status(thm)],[c_12420,c_18395]) ).
tcf(c_18405,plain,
strictorderedP(iPr_def_10),
inference(backward_subsumption_resolution,[status(thm)],[c_12315,c_18395]) ).
tcf(c_18406,plain,
totalorderedP(iPr_def_10),
inference(backward_subsumption_resolution,[status(thm)],[c_12305,c_18395]) ).
tcf(c_18407,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssItem(X0)
| ~ leq(X0,sK60)
| ~ memberP(sK56,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_11975,c_18395]) ).
tcf(c_18408,plain,
iPr_def_10 = iPr_def_13,
inference(backward_subsumption_resolution,[status(thm)],[c_11939,c_18395]) ).
tcf(c_18409,plain,
memberP(sK56,sK60),
inference(backward_subsumption_resolution,[status(thm)],[c_11928,c_18395]) ).
tcf(c_18410,plain,
ssItem(sK60),
inference(backward_subsumption_resolution,[status(thm)],[c_11917,c_18395]) ).
tcf(c_18417,plain,
nil != iPr_def_10,
inference(demodulation,[status(thm)],[c_18395,c_18408]) ).
tcf(c_18418,plain,
frontsegP(iPr_def_10,nil),
inference(demodulation,[status(thm)],[c_13742,c_18408]) ).
tcf(c_18419,plain,
frontsegP(iPr_def_10,iPr_def_10),
inference(demodulation,[status(thm)],[c_13738,c_18408]) ).
tcf(c_18420,plain,
frontsegP(iPr_def_10,iPr_def_12),
inference(demodulation,[status(thm)],[c_13747,c_18408]) ).
tcf(c_18421,plain,
rearsegP(iPr_def_10,iPr_def_10),
inference(demodulation,[status(thm)],[c_13612,c_18408]) ).
tcf(c_18422,plain,
rearsegP(iPr_def_10,sK59),
inference(demodulation,[status(thm)],[c_13617,c_18408]) ).
tcf(c_18423,plain,
rearsegP(iPr_def_10,nil),
inference(demodulation,[status(thm)],[c_13608,c_18408]) ).
tcf(c_18427,plain,
app(iPr_def_12,sK59) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8989,c_18408]) ).
tcf(c_18428,plain,
sK55 = iPr_def_10,
inference(demodulation,[status(thm)],[c_9002,c_18408]) ).
tcf(c_18430,plain,
hd(iPr_def_10) = sK51(iPr_def_10),
inference(backward_subsumption_resolution,[status(thm)],[c_18397,c_18417]) ).
tcf(c_18431,plain,
memberP(iPr_def_10,sK60),
inference(backward_subsumption_resolution,[status(thm)],[c_13408,c_18410]) ).
tcf(c_18432,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_12234,c_18410]) ).
tcf(c_18446,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_383,c_66]) ).
tcf(c_18447,plain,
! [X0: $i] :
( ( app(sK12(X0,X0),X0) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_185,c_66]) ).
tcf(c_18448,plain,
! [X0: $i] :
( ( app(sK12(X0,nil),nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_187,c_66]) ).
tcf(c_18449,plain,
( ( app(sK12(nil,nil),nil) = nil )
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_373,c_66]) ).
tcf(c_18450,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_13618,c_66]) ).
tcf(c_18451,plain,
( ( app(sK12(iPr_def_11,iPr_def_11),iPr_def_11) = iPr_def_11 )
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_13616,c_66]) ).
tcf(c_18452,plain,
( ( app(sK12(sK56,sK56),sK56) = sK56 )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_13615,c_66]) ).
tcf(c_18453,plain,
( ( app(sK12(sK59,sK59),sK59) = sK59 )
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_13614,c_66]) ).
tcf(c_18454,plain,
( ( app(sK12(sK58,sK58),sK58) = sK58 )
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_13613,c_66]) ).
tcf(c_18455,plain,
( ( app(sK12(sK56,nil),nil) = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_13611,c_66]) ).
tcf(c_18456,plain,
( ( app(sK12(sK59,nil),nil) = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_13610,c_66]) ).
tcf(c_18457,plain,
( ( app(sK12(sK58,nil),nil) = sK58 )
| ~ ssList(sK58)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_13609,c_66]) ).
tcf(c_18458,plain,
( ( app(sK12(iPr_def_11,nil),nil) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_13607,c_66]) ).
tcf(c_18459,plain,
( ( app(sK12(iPr_def_12,nil),nil) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_13606,c_66]) ).
tcf(c_18460,plain,
( ( app(sK12(iPr_def_12,iPr_def_12),iPr_def_12) = iPr_def_12 )
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_13605,c_66]) ).
tcf(c_18461,plain,
app(sK12(iPr_def_12,iPr_def_12),iPr_def_12) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_18460,c_12995]) ).
tcf(c_18462,plain,
app(sK12(sK58,sK58),sK58) = sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_18454,c_9000]) ).
tcf(c_18463,plain,
app(sK12(sK59,sK59),sK59) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_18453,c_9003]) ).
tcf(c_18464,plain,
app(sK12(sK56,sK56),sK56) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_18452,c_9004]) ).
tcf(c_18465,plain,
app(sK12(iPr_def_11,iPr_def_11),iPr_def_11) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_18451,c_12859]) ).
tcf(c_18466,plain,
app(sK12(nil,nil),nil) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_18449,c_141]) ).
tcf(c_18469,plain,
app(sK12(iPr_def_12,nil),nil) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_18459,c_12995,c_141]) ).
tcf(c_18470,plain,
app(sK12(iPr_def_11,nil),nil) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_18458,c_12859,c_141]) ).
tcf(c_18471,plain,
app(sK12(sK58,nil),nil) = sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_18457,c_9000,c_141]) ).
tcf(c_18472,plain,
app(sK12(sK59,nil),nil) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_18456,c_9003,c_141]) ).
tcf(c_18473,plain,
app(sK12(sK56,nil),nil) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_18455,c_9004,c_141]) ).
tcf(c_18474,plain,
app(sK12(iPr_def_12,iPr_def_11),iPr_def_11) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_18450,c_12995,c_12859]) ).
tcf(c_18475,plain,
! [X0: $i] :
( ( app(sK12(X0,nil),nil) = X0 )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18448,c_141]) ).
tcf(c_18517,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(superposition,[status(thm)],[c_8988,c_165]) ).
tcf(c_18531,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_17914,c_165]) ).
tcf(c_18538,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_12668]) ).
tcf(c_18539,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18517,c_12859,c_9000]) ).
tcf(c_18562,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_8988,c_166]) ).
tcf(c_18576,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_17914,c_166]) ).
tcf(c_18577,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK11(sK56,nil))
| ~ memberP(sK11(sK56,nil),X0) ),
inference(superposition,[status(thm)],[c_17911,c_166]) ).
tcf(c_18578,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK11(sK59,nil))
| ~ memberP(sK11(sK59,nil),X0) ),
inference(superposition,[status(thm)],[c_17910,c_166]) ).
tcf(c_18579,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK11(sK58,nil))
| ~ memberP(sK11(sK58,nil),X0) ),
inference(superposition,[status(thm)],[c_17909,c_166]) ).
tcf(c_18580,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(sK11(sK56,sK56))
| ~ memberP(sK11(sK56,sK56),X0) ),
inference(superposition,[status(thm)],[c_17903,c_166]) ).
tcf(c_18581,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(sK11(sK59,sK59))
| ~ memberP(sK11(sK59,sK59),X0) ),
inference(superposition,[status(thm)],[c_17902,c_166]) ).
tcf(c_18582,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(sK11(sK58,sK58))
| ~ memberP(sK11(sK58,sK58),X0) ),
inference(superposition,[status(thm)],[c_17901,c_166]) ).
tcf(c_18583,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_12668]) ).
tcf(c_18584,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18562,c_12859,c_9000]) ).
tcf(c_18588,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK58,sK58))
| ~ memberP(sK11(sK58,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18582,c_9000]) ).
tcf(c_18593,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK59,sK59))
| ~ memberP(sK11(sK59,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18581,c_9003]) ).
tcf(c_18598,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK56,sK56))
| ~ memberP(sK11(sK56,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18580,c_9004]) ).
tcf(c_18603,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK58,nil))
| ~ memberP(sK11(sK58,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18579,c_141]) ).
tcf(c_18608,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK59,nil))
| ~ memberP(sK11(sK59,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18578,c_141]) ).
tcf(c_18613,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK56,nil))
| ~ memberP(sK11(sK56,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18577,c_141]) ).
tcf(c_18618,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_18576,c_9000]) ).
tcf(c_18638,plain,
( ( nil = iPr_def_10 )
| ( cons(hd(iPr_def_10),tl(iPr_def_10)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_18402,c_224]) ).
tcf(c_18640,plain,
( ( nil = iPr_def_10 )
| ( cons(sK50(iPr_def_10),sK49(iPr_def_10)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_18402,c_147]) ).
tcf(c_18641,plain,
tl(cons(sK57,iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_18402,c_14117]) ).
tcf(c_18642,plain,
hd(cons(sK57,iPr_def_10)) = sK57,
inference(superposition,[status(thm)],[c_18402,c_13943]) ).
tcf(c_18643,plain,
( ( nil = iPr_def_10 )
| ( tl(iPr_def_10) = sK52(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_18402,c_222]) ).
tcf(c_18654,plain,
( ( sK12(sK58,sK58) = nil )
| ~ ssList(sK58)
| ~ ssList(sK12(sK58,sK58))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_18462,c_231]) ).
tcf(c_18656,plain,
( frontsegP(sK58,sK12(sK58,sK58))
| ~ ssList(sK58)
| ~ ssList(sK12(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_18462,c_386]) ).
tcf(c_18659,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(sK12(sK58,sK58))
| ~ memberP(sK12(sK58,sK58),X0) ),
inference(superposition,[status(thm)],[c_18462,c_165]) ).
tcf(c_18661,plain,
( frontsegP(sK58,sK12(sK58,sK58))
| ~ ssList(sK12(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18656,c_9000]) ).
tcf(c_18664,plain,
( ( sK12(sK58,sK58) = nil )
| ~ ssList(sK12(sK58,sK58))
| ( nil != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18654,c_9000]) ).
tcf(c_18668,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK58,sK58))
| ~ memberP(sK12(sK58,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18659,c_9000]) ).
tcf(c_18674,plain,
( ( sK12(sK59,sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(sK12(sK59,sK59))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_18463,c_231]) ).
tcf(c_18676,plain,
( frontsegP(sK59,sK12(sK59,sK59))
| ~ ssList(sK59)
| ~ ssList(sK12(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_18463,c_386]) ).
tcf(c_18679,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(sK12(sK59,sK59))
| ~ memberP(sK12(sK59,sK59),X0) ),
inference(superposition,[status(thm)],[c_18463,c_165]) ).
tcf(c_18681,plain,
( frontsegP(sK59,sK12(sK59,sK59))
| ~ ssList(sK12(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18676,c_9003]) ).
tcf(c_18684,plain,
( ( sK12(sK59,sK59) = nil )
| ~ ssList(sK12(sK59,sK59))
| ( nil != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18674,c_9003]) ).
tcf(c_18688,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK59,sK59))
| ~ memberP(sK12(sK59,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18679,c_9003]) ).
tcf(c_18694,plain,
( ( sK12(sK56,sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(sK12(sK56,sK56))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_18464,c_231]) ).
tcf(c_18696,plain,
( frontsegP(sK56,sK12(sK56,sK56))
| ~ ssList(sK56)
| ~ ssList(sK12(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_18464,c_386]) ).
tcf(c_18699,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(sK12(sK56,sK56))
| ~ memberP(sK12(sK56,sK56),X0) ),
inference(superposition,[status(thm)],[c_18464,c_165]) ).
tcf(c_18701,plain,
( frontsegP(sK56,sK12(sK56,sK56))
| ~ ssList(sK12(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18696,c_9004]) ).
tcf(c_18704,plain,
( ( sK12(sK56,sK56) = nil )
| ~ ssList(sK12(sK56,sK56))
| ( nil != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18694,c_9004]) ).
tcf(c_18708,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK56,sK56))
| ~ memberP(sK12(sK56,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18699,c_9004]) ).
tcf(c_18714,plain,
( ( sK12(sK58,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK12(sK58,nil))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_18471,c_231]) ).
tcf(c_18716,plain,
( frontsegP(sK58,sK12(sK58,nil))
| ~ ssList(nil)
| ~ ssList(sK12(sK58,nil)) ),
inference(superposition,[status(thm)],[c_18471,c_386]) ).
tcf(c_18719,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK12(sK58,nil))
| ~ memberP(sK12(sK58,nil),X0) ),
inference(superposition,[status(thm)],[c_18471,c_165]) ).
tcf(c_18721,plain,
( frontsegP(sK58,sK12(sK58,nil))
| ~ ssList(sK12(sK58,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18716,c_141]) ).
tcf(c_18724,plain,
( ( sK12(sK58,nil) = nil )
| ~ ssList(sK12(sK58,nil))
| ( nil != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18714,c_141]) ).
tcf(c_18728,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK58,nil))
| ~ memberP(sK12(sK58,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18719,c_141]) ).
tcf(c_18734,plain,
( ( sK12(sK59,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK12(sK59,nil))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_18472,c_231]) ).
tcf(c_18736,plain,
( frontsegP(sK59,sK12(sK59,nil))
| ~ ssList(nil)
| ~ ssList(sK12(sK59,nil)) ),
inference(superposition,[status(thm)],[c_18472,c_386]) ).
tcf(c_18739,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK12(sK59,nil))
| ~ memberP(sK12(sK59,nil),X0) ),
inference(superposition,[status(thm)],[c_18472,c_165]) ).
tcf(c_18741,plain,
( frontsegP(sK59,sK12(sK59,nil))
| ~ ssList(sK12(sK59,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18736,c_141]) ).
tcf(c_18744,plain,
( ( sK12(sK59,nil) = nil )
| ~ ssList(sK12(sK59,nil))
| ( nil != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18734,c_141]) ).
tcf(c_18748,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK59,nil))
| ~ memberP(sK12(sK59,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18739,c_141]) ).
tcf(c_18754,plain,
( ( sK12(sK56,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK12(sK56,nil))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_18473,c_231]) ).
tcf(c_18756,plain,
( frontsegP(sK56,sK12(sK56,nil))
| ~ ssList(nil)
| ~ ssList(sK12(sK56,nil)) ),
inference(superposition,[status(thm)],[c_18473,c_386]) ).
tcf(c_18759,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK12(sK56,nil))
| ~ memberP(sK12(sK56,nil),X0) ),
inference(superposition,[status(thm)],[c_18473,c_165]) ).
tcf(c_18761,plain,
( frontsegP(sK56,sK12(sK56,nil))
| ~ ssList(sK12(sK56,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18756,c_141]) ).
tcf(c_18764,plain,
( ( sK12(sK56,nil) = nil )
| ~ ssList(sK12(sK56,nil))
| ( nil != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18754,c_141]) ).
tcf(c_18768,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK56,nil))
| ~ memberP(sK12(sK56,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18759,c_141]) ).
tcf(c_18774,plain,
tl(iPr_def_13) = sK52(iPr_def_13),
inference(global_subsumption_just,[status(thm)],[c_14566,c_14566,c_17779,c_17841]) ).
tcf(c_18776,plain,
tl(iPr_def_10) = sK52(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_18774,c_18408]) ).
tcf(c_18777,plain,
( ssList(tl(iPr_def_10))
| ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_18776,c_221]) ).
tcf(c_18778,plain,
( ssList(tl(iPr_def_10))
| ( nil = iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18777,c_18402]) ).
tcf(c_18793,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_15611,c_169]) ).
tcf(c_18794,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_15612,c_169]) ).
tcf(c_18795,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_15613,c_169]) ).
tcf(c_18796,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_16390,c_169]) ).
tcf(c_18797,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_16391,c_169]) ).
tcf(c_18798,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_16392,c_169]) ).
tcf(c_18799,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_12668]) ).
tcf(c_18858,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_386,c_174]) ).
tcf(c_18860,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_180,c_174]) ).
tcf(c_18862,plain,
( ( sK58 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK58)
| ~ frontsegP(sK58,iPr_def_12) ),
inference(superposition,[status(thm)],[c_13748,c_174]) ).
tcf(c_18863,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ frontsegP(nil,iPr_def_11) ),
inference(superposition,[status(thm)],[c_13746,c_174]) ).
tcf(c_18864,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ frontsegP(nil,sK56) ),
inference(superposition,[status(thm)],[c_13745,c_174]) ).
tcf(c_18865,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ frontsegP(nil,sK59) ),
inference(superposition,[status(thm)],[c_13744,c_174]) ).
tcf(c_18866,plain,
( ( nil = sK58 )
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ frontsegP(nil,sK58) ),
inference(superposition,[status(thm)],[c_13743,c_174]) ).
tcf(c_18872,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ frontsegP(nil,iPr_def_12) ),
inference(superposition,[status(thm)],[c_13735,c_174]) ).
tcf(c_18873,plain,
~ frontsegP(nil,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_18872,c_17779,c_12995,c_141]) ).
tcf(c_18874,plain,
( ( nil = sK58 )
| ~ frontsegP(nil,sK58) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18866,c_9000,c_141]) ).
tcf(c_18877,plain,
( ( nil = sK59 )
| ~ frontsegP(nil,sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18865,c_9003,c_141]) ).
tcf(c_18880,plain,
( ( nil = sK56 )
| ~ frontsegP(nil,sK56) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18864,c_9004,c_141]) ).
tcf(c_18883,plain,
~ frontsegP(nil,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_18863,c_13900,c_12859,c_141]) ).
tcf(c_18884,plain,
( ( sK58 = iPr_def_12 )
| ~ frontsegP(sK58,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18862,c_12995,c_9000]) ).
tcf(c_18904,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0) ),
inference(superposition,[status(thm)],[c_8988,c_176]) ).
tcf(c_18905,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_12892,c_176]) ).
tcf(c_18906,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_12690,c_176]) ).
tcf(c_18907,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_12691,c_176]) ).
tcf(c_18908,plain,
! [X0: $i] :
( frontsegP(sK58,X0)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_12692,c_176]) ).
tcf(c_18914,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_13023,c_176]) ).
tcf(c_18915,plain,
! [X0: $i] :
( frontsegP(sK8(sK58,sK57),X0)
| ( app(nil,sK8(sK59,sK57)) = sK8(sK59,sK57) )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK8(sK58,sK57)) ),
inference(superposition,[status(thm)],[c_13504,c_176]) ).
tcf(c_18916,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_13355,c_176]) ).
tcf(c_18917,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_13354,c_176]) ).
tcf(c_18918,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_17914,c_176]) ).
tcf(c_18919,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK11(sK56,nil)) ),
inference(superposition,[status(thm)],[c_17911,c_176]) ).
tcf(c_18920,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK11(sK59,nil)) ),
inference(superposition,[status(thm)],[c_17910,c_176]) ).
tcf(c_18921,plain,
! [X0: $i] :
( frontsegP(sK58,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK11(sK58,nil)) ),
inference(superposition,[status(thm)],[c_17909,c_176]) ).
tcf(c_18925,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,sK56))
| ~ frontsegP(sK12(sK56,sK56),X0) ),
inference(superposition,[status(thm)],[c_18464,c_176]) ).
tcf(c_18926,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,sK59))
| ~ frontsegP(sK12(sK59,sK59),X0) ),
inference(superposition,[status(thm)],[c_18463,c_176]) ).
tcf(c_18927,plain,
! [X0: $i] :
( frontsegP(sK58,X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,sK58))
| ~ frontsegP(sK12(sK58,sK58),X0) ),
inference(superposition,[status(thm)],[c_18462,c_176]) ).
tcf(c_18928,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ~ frontsegP(sK12(sK56,nil),X0) ),
inference(superposition,[status(thm)],[c_18473,c_176]) ).
tcf(c_18929,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ~ frontsegP(sK12(sK59,nil),X0) ),
inference(superposition,[status(thm)],[c_18472,c_176]) ).
tcf(c_18930,plain,
! [X0: $i] :
( frontsegP(sK58,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,nil))
| ~ frontsegP(sK12(sK58,nil),X0) ),
inference(superposition,[status(thm)],[c_18471,c_176]) ).
tcf(c_18931,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_18932,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_18933,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18914,c_12995,c_141]) ).
tcf(c_18937,plain,
! [X0: $i] :
( frontsegP(sK58,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18908,c_9000,c_141]) ).
tcf(c_18941,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18907,c_9003,c_141]) ).
tcf(c_18945,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18906,c_9004,c_141]) ).
tcf(c_18949,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18905,c_12859,c_141]) ).
tcf(c_18953,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18904,c_12859,c_9000]) ).
tcf(c_18961,plain,
! [X0: $i] :
( frontsegP(sK58,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,nil))
| ~ frontsegP(sK12(sK58,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18930,c_141]) ).
tcf(c_18966,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ~ frontsegP(sK12(sK59,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18929,c_141]) ).
tcf(c_18971,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ~ frontsegP(sK12(sK56,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18928,c_141]) ).
tcf(c_18976,plain,
! [X0: $i] :
( frontsegP(sK58,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,sK58))
| ~ frontsegP(sK12(sK58,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18927,c_9000]) ).
tcf(c_18981,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,sK59))
| ~ frontsegP(sK12(sK59,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18926,c_9003]) ).
tcf(c_18986,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,sK56))
| ~ frontsegP(sK12(sK56,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18925,c_9004]) ).
tcf(c_18991,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_18917,c_141]) ).
tcf(c_18996,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_18916,c_141]) ).
tcf(c_19014,plain,
! [X0: $i] :
( frontsegP(sK8(sK58,sK57),X0)
| ( app(nil,sK8(sK59,sK57)) = sK8(sK59,sK57) )
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK8(sK58,sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18915,c_141]) ).
tcf(c_19031,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_383,c_184]) ).
tcf(c_19033,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_187,c_184]) ).
tcf(c_19035,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_13618,c_184]) ).
tcf(c_19040,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ rearsegP(nil,sK56) ),
inference(superposition,[status(thm)],[c_13611,c_184]) ).
tcf(c_19041,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ rearsegP(nil,sK59) ),
inference(superposition,[status(thm)],[c_13610,c_184]) ).
tcf(c_19042,plain,
( ( nil = sK58 )
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ rearsegP(nil,sK58) ),
inference(superposition,[status(thm)],[c_13609,c_184]) ).
tcf(c_19043,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ rearsegP(nil,iPr_def_11) ),
inference(superposition,[status(thm)],[c_13607,c_184]) ).
tcf(c_19044,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ rearsegP(nil,iPr_def_12) ),
inference(superposition,[status(thm)],[c_13606,c_184]) ).
tcf(c_19046,plain,
~ rearsegP(nil,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_19044,c_17779,c_12995,c_141]) ).
tcf(c_19047,plain,
~ rearsegP(nil,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_19043,c_13900,c_12859,c_141]) ).
tcf(c_19048,plain,
( ( nil = sK58 )
| ~ rearsegP(nil,sK58) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19042,c_9000,c_141]) ).
tcf(c_19051,plain,
( ( nil = sK59 )
| ~ rearsegP(nil,sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19041,c_9003,c_141]) ).
tcf(c_19054,plain,
( ( nil = sK56 )
| ~ rearsegP(nil,sK56) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19040,c_9004,c_141]) ).
tcf(c_19057,plain,
( ( iPr_def_11 = iPr_def_12 )
| ~ rearsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19035,c_12995,c_12859]) ).
tcf(c_19066,plain,
! [X0: $i] :
( ( app(cons(sK60,nil),X0) = cons(sK60,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_18410,c_227]) ).
tcf(c_19067,plain,
! [X0: $i] :
( ( tl(cons(sK60,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_18410,c_152]) ).
tcf(c_19068,plain,
! [X0: $i] :
( ( hd(cons(sK60,X0)) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_18410,c_150]) ).
tcf(c_19073,plain,
! [X0: $i] :
( ( cons(sK60,X0) = app(iPr_def_10,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_19066,c_8986]) ).
tcf(c_19080,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ frontsegP(nil,iPr_def_10) ),
inference(superposition,[status(thm)],[c_18418,c_174]) ).
tcf(c_19081,plain,
( ( app(nil,sK11(iPr_def_10,nil)) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_18418,c_63]) ).
tcf(c_19082,plain,
app(nil,sK11(iPr_def_10,nil)) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_19081,c_18402,c_141]) ).
tcf(c_19083,plain,
( ( nil = iPr_def_10 )
| ~ frontsegP(nil,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19080,c_18402,c_141]) ).
tcf(c_19118,plain,
( ( sK11(sK58,sK58) = sK58 )
| ~ ssList(sK58)
| ~ ssList(sK11(sK58,sK58))
| ~ rearsegP(sK11(sK58,sK58),sK58) ),
inference(superposition,[status(thm)],[c_18023,c_184]) ).
tcf(c_19119,plain,
( ( app(sK12(sK58,sK11(sK58,sK58)),sK11(sK58,sK58)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(sK11(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_18023,c_66]) ).
tcf(c_19120,plain,
( ( app(sK12(sK58,sK11(sK58,sK58)),sK11(sK58,sK58)) = sK58 )
| ~ ssList(sK11(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19119,c_9000]) ).
tcf(c_19123,plain,
( ( sK11(sK58,sK58) = sK58 )
| ~ ssList(sK11(sK58,sK58))
| ~ rearsegP(sK11(sK58,sK58),sK58) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19118,c_9000]) ).
tcf(c_19127,plain,
tl(iPr_def_12) = sK52(iPr_def_12),
inference(global_subsumption_just,[status(thm)],[c_14567,c_14567,c_17779]) ).
tcf(c_19129,plain,
( ssList(tl(iPr_def_12))
| ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_19127,c_221]) ).
tcf(c_19130,plain,
ssList(tl(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_19129,c_17779,c_12995]) ).
tcf(c_19189,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_8988,c_186]) ).
tcf(c_19194,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_12785,c_186]) ).
tcf(c_19195,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_12786,c_186]) ).
tcf(c_19196,plain,
! [X0: $i] :
( rearsegP(sK58,X0)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_12787,c_186]) ).
tcf(c_19197,plain,
! [X0: $i] :
( rearsegP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_12891,c_186]) ).
tcf(c_19198,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_13022,c_186]) ).
tcf(c_19203,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_17914,c_186]) ).
tcf(c_19204,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ~ rearsegP(sK11(sK56,nil),X0) ),
inference(superposition,[status(thm)],[c_17911,c_186]) ).
tcf(c_19205,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ~ rearsegP(sK11(sK59,nil),X0) ),
inference(superposition,[status(thm)],[c_17910,c_186]) ).
tcf(c_19206,plain,
! [X0: $i] :
( rearsegP(sK58,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK58,nil))
| ~ rearsegP(sK11(sK58,nil),X0) ),
inference(superposition,[status(thm)],[c_17909,c_186]) ).
tcf(c_19207,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,sK56))
| ~ rearsegP(sK11(sK56,sK56),X0) ),
inference(superposition,[status(thm)],[c_17903,c_186]) ).
tcf(c_19208,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,sK59))
| ~ rearsegP(sK11(sK59,sK59),X0) ),
inference(superposition,[status(thm)],[c_17902,c_186]) ).
tcf(c_19209,plain,
! [X0: $i] :
( rearsegP(sK58,X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(sK58,sK58))
| ~ rearsegP(sK11(sK58,sK58),X0) ),
inference(superposition,[status(thm)],[c_17901,c_186]) ).
tcf(c_19213,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK12(sK56,nil)) ),
inference(superposition,[status(thm)],[c_18473,c_186]) ).
tcf(c_19214,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK12(sK59,nil)) ),
inference(superposition,[status(thm)],[c_18472,c_186]) ).
tcf(c_19215,plain,
! [X0: $i] :
( rearsegP(sK58,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK12(sK58,nil)) ),
inference(superposition,[status(thm)],[c_18471,c_186]) ).
tcf(c_19216,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_19217,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_19218,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19198,c_12995,c_141]) ).
tcf(c_19222,plain,
! [X0: $i] :
( rearsegP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19197,c_12859,c_141]) ).
tcf(c_19226,plain,
! [X0: $i] :
( rearsegP(sK58,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19196,c_9000,c_141]) ).
tcf(c_19230,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19195,c_9003,c_141]) ).
tcf(c_19234,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19194,c_9004,c_141]) ).
tcf(c_19238,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19189,c_12859,c_9000]) ).
tcf(c_19245,plain,
! [X0: $i] :
( rearsegP(sK58,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK58,sK58))
| ~ rearsegP(sK11(sK58,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19209,c_9000]) ).
tcf(c_19250,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,sK59))
| ~ rearsegP(sK11(sK59,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19208,c_9003]) ).
tcf(c_19255,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,sK56))
| ~ rearsegP(sK11(sK56,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19207,c_9004]) ).
tcf(c_19260,plain,
! [X0: $i] :
( rearsegP(sK58,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK58,nil))
| ~ rearsegP(sK11(sK58,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19206,c_141]) ).
tcf(c_19265,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ~ rearsegP(sK11(sK59,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19205,c_141]) ).
tcf(c_19270,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ~ rearsegP(sK11(sK56,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19204,c_141]) ).
tcf(c_19275,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_19203,c_9000]) ).
tcf(c_19305,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_194,c_191]) ).
tcf(c_19316,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_19317,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_19318,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_19319,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_19320,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_19321,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_19322,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_19332,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_19333,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_19334,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_19335,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_19336,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_19337,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_19338,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_19339,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_19340,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_19341,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_19342,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_19343,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_19345,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_19346,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_19347,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_19348,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( hd(app(sK56,X0)) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9004,c_233]) ).
tcf(c_19349,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( hd(app(sK59,X0)) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9003,c_233]) ).
tcf(c_19350,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( hd(app(sK58,X0)) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9000,c_233]) ).
tcf(c_19351,plain,
! [X0: $i] :
( ( nil = iPr_def_12 )
| ( hd(app(iPr_def_12,X0)) = hd(iPr_def_12) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12995,c_233]) ).
tcf(c_19352,plain,
! [X0: $i] :
( ( nil = iPr_def_11 )
| ( hd(app(iPr_def_11,X0)) = hd(iPr_def_11) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12859,c_233]) ).
tcf(c_19353,plain,
! [X0: $i] :
( ( nil = iPr_def_10 )
| ( hd(app(iPr_def_10,X0)) = hd(iPr_def_10) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_18402,c_233]) ).
tcf(c_19354,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( hd(app(tl(sK56),X0)) = hd(tl(sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15456,c_233]) ).
tcf(c_19355,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( hd(app(tl(sK59),X0)) = hd(tl(sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15493,c_233]) ).
tcf(c_19356,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( hd(app(tl(sK58),X0)) = hd(tl(sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15877,c_233]) ).
tcf(c_19360,plain,
! [X0: $i] :
( ( nil = iPr_def_11 )
| ( hd(app(iPr_def_11,X0)) = sK57 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_19352,c_14796]) ).
tcf(c_19361,plain,
! [X0: $i] :
( ( hd(app(iPr_def_11,X0)) = sK57 )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19360,c_13900]) ).
tcf(c_19364,plain,
! [X0: $i] :
( ( hd(app(iPr_def_12,X0)) = hd(iPr_def_12) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19351,c_17779]) ).
tcf(c_19625,plain,
( ( app(iPr_def_10,sK11(iPr_def_10,iPr_def_10)) = iPr_def_10 )
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_18419,c_63]) ).
tcf(c_19626,plain,
app(iPr_def_10,sK11(iPr_def_10,iPr_def_10)) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_19625,c_18402]) ).
tcf(c_19627,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_18420,c_174]) ).
tcf(c_19628,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_18420,c_63]) ).
tcf(c_19629,plain,
app(iPr_def_12,sK11(iPr_def_10,iPr_def_12)) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_19628,c_12995,c_18402]) ).
tcf(c_19630,plain,
( ( iPr_def_10 = iPr_def_12 )
| ~ frontsegP(iPr_def_12,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19627,c_12995,c_18402]) ).
tcf(c_19634,plain,
( ( app(sK12(iPr_def_10,iPr_def_10),iPr_def_10) = iPr_def_10 )
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_18421,c_66]) ).
tcf(c_19635,plain,
app(sK12(iPr_def_10,iPr_def_10),iPr_def_10) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_19634,c_18402]) ).
tcf(c_19636,plain,
( ( sK59 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ rearsegP(sK59,iPr_def_10) ),
inference(superposition,[status(thm)],[c_18422,c_184]) ).
tcf(c_19637,plain,
( ( app(sK12(iPr_def_10,sK59),sK59) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_18422,c_66]) ).
tcf(c_19638,plain,
app(sK12(iPr_def_10,sK59),sK59) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_19637,c_18402,c_9003]) ).
tcf(c_19639,plain,
( ( sK59 = iPr_def_10 )
| ~ rearsegP(sK59,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19636,c_18402,c_9003]) ).
tcf(c_19644,plain,
( frontsegP(iPr_def_10,sK12(iPr_def_10,sK59))
| ~ ssList(sK59)
| ~ ssList(sK12(iPr_def_10,sK59)) ),
inference(superposition,[status(thm)],[c_19638,c_386]) ).
tcf(c_19647,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_19638,c_176]) ).
tcf(c_19648,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_19638,c_165]) ).
tcf(c_19649,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_19638,c_186]) ).
tcf(c_19650,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_19638,c_166]) ).
tcf(c_19651,plain,
( frontsegP(iPr_def_10,sK12(iPr_def_10,sK59))
| ~ ssList(sK12(iPr_def_10,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19644,c_9003]) ).
tcf(c_19654,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_19650,c_9003]) ).
tcf(c_19659,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_19649,c_9003]) ).
tcf(c_19664,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_19648,c_9003]) ).
tcf(c_19669,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_19647,c_9003]) ).
tcf(c_19684,plain,
( ( sK11(sK59,sK59) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(sK59,sK59))
| ~ rearsegP(sK11(sK59,sK59),sK59) ),
inference(superposition,[status(thm)],[c_18046,c_184]) ).
tcf(c_19685,plain,
( ( app(sK12(sK59,sK11(sK59,sK59)),sK11(sK59,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_18046,c_66]) ).
tcf(c_19686,plain,
( ( app(sK12(sK59,sK11(sK59,sK59)),sK11(sK59,sK59)) = sK59 )
| ~ ssList(sK11(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19685,c_9003]) ).
tcf(c_19689,plain,
( ( sK11(sK59,sK59) = sK59 )
| ~ ssList(sK11(sK59,sK59))
| ~ rearsegP(sK11(sK59,sK59),sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19684,c_9003]) ).
tcf(c_19697,plain,
( ( sK11(sK56,sK56) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(sK56,sK56))
| ~ rearsegP(sK11(sK56,sK56),sK56) ),
inference(superposition,[status(thm)],[c_18061,c_184]) ).
tcf(c_19698,plain,
( ( app(sK12(sK56,sK11(sK56,sK56)),sK11(sK56,sK56)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_18061,c_66]) ).
tcf(c_19699,plain,
( ( app(sK12(sK56,sK11(sK56,sK56)),sK11(sK56,sK56)) = sK56 )
| ~ ssList(sK11(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19698,c_9004]) ).
tcf(c_19702,plain,
( ( sK11(sK56,sK56) = sK56 )
| ~ ssList(sK11(sK56,sK56))
| ~ rearsegP(sK11(sK56,sK56),sK56) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19697,c_9004]) ).
tcf(c_19710,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_18392,c_184]) ).
tcf(c_19711,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_18392,c_66]) ).
tcf(c_19712,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_19711,c_12995]) ).
tcf(c_19715,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_19710,c_12995]) ).
tcf(c_19737,plain,
( ( sK12(sK58,sK58) = sK58 )
| ~ ssList(sK58)
| ~ ssList(sK12(sK58,sK58))
| ~ frontsegP(sK12(sK58,sK58),sK58) ),
inference(superposition,[status(thm)],[c_18661,c_174]) ).
tcf(c_19738,plain,
( ( app(sK12(sK58,sK58),sK11(sK58,sK12(sK58,sK58))) = sK58 )
| ~ ssList(sK58)
| ~ ssList(sK12(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_18661,c_63]) ).
tcf(c_19739,plain,
( ( app(sK12(sK58,sK58),sK11(sK58,sK12(sK58,sK58))) = sK58 )
| ~ ssList(sK12(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19738,c_9000]) ).
tcf(c_19742,plain,
( ( sK12(sK58,sK58) = sK58 )
| ~ ssList(sK12(sK58,sK58))
| ~ frontsegP(sK12(sK58,sK58),sK58) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19737,c_9000]) ).
tcf(c_19764,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_19765,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_19766,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_19767,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_19768,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_19769,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_19770,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_19780,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_19781,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_19782,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_19783,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_19784,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_19785,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_19786,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_19787,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_19788,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_19789,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_19790,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_19791,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_19793,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_19794,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_19795,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_19796,plain,
( equalelemsP(sK56)
| ( app(sK47(sK56),cons(sK45(sK56),cons(sK46(sK56),sK48(sK56)))) = sK56 ) ),
inference(superposition,[status(thm)],[c_9004,c_132]) ).
tcf(c_19797,plain,
( equalelemsP(sK59)
| ( app(sK47(sK59),cons(sK45(sK59),cons(sK46(sK59),sK48(sK59)))) = sK59 ) ),
inference(superposition,[status(thm)],[c_9003,c_132]) ).
tcf(c_19798,plain,
( equalelemsP(sK58)
| ( app(sK47(sK58),cons(sK45(sK58),cons(sK46(sK58),sK48(sK58)))) = sK58 ) ),
inference(superposition,[status(thm)],[c_9000,c_132]) ).
tcf(c_19799,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_12995,c_132]) ).
tcf(c_19802,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_15456,c_132]) ).
tcf(c_19803,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_15493,c_132]) ).
tcf(c_19804,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_15877,c_132]) ).
tcf(c_20170,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ rearsegP(nil,iPr_def_10) ),
inference(superposition,[status(thm)],[c_18423,c_184]) ).
tcf(c_20171,plain,
( ( app(sK12(iPr_def_10,nil),nil) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_18423,c_66]) ).
tcf(c_20172,plain,
app(sK12(iPr_def_10,nil),nil) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_20171,c_18402,c_141]) ).
tcf(c_20173,plain,
( ( nil = iPr_def_10 )
| ~ rearsegP(nil,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20170,c_18402,c_141]) ).
tcf(c_20177,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_19130,c_132]) ).
tcf(c_20178,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_19130,c_233]) ).
tcf(c_20179,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_19130,c_224]) ).
tcf(c_20180,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_19130,c_147]) ).
tcf(c_20181,plain,
tl(cons(sK57,tl(iPr_def_12))) = tl(iPr_def_12),
inference(superposition,[status(thm)],[c_19130,c_14117]) ).
tcf(c_20182,plain,
hd(cons(sK57,tl(iPr_def_12))) = sK57,
inference(superposition,[status(thm)],[c_19130,c_13943]) ).
tcf(c_20183,plain,
( ( tl(iPr_def_12) = nil )
| ( tl(tl(iPr_def_12)) = sK52(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_19130,c_222]) ).
tcf(c_20184,plain,
( ( tl(iPr_def_12) = nil )
| ( hd(tl(iPr_def_12)) = sK51(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_19130,c_220]) ).
tcf(c_20185,plain,
( duplicatefreeP(tl(iPr_def_12))
| ( sK40(tl(iPr_def_12)) = sK41(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_19130,c_123]) ).
tcf(c_20186,plain,
app(tl(iPr_def_12),nil) = tl(iPr_def_12),
inference(superposition,[status(thm)],[c_19130,c_232]) ).
tcf(c_20187,plain,
app(nil,tl(iPr_def_12)) = tl(iPr_def_12),
inference(superposition,[status(thm)],[c_19130,c_155]) ).
tcf(c_20305,plain,
( ( sK12(sK59,sK59) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK12(sK59,sK59))
| ~ frontsegP(sK12(sK59,sK59),sK59) ),
inference(superposition,[status(thm)],[c_18681,c_174]) ).
tcf(c_20306,plain,
( ( app(sK12(sK59,sK59),sK11(sK59,sK12(sK59,sK59))) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK12(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_18681,c_63]) ).
tcf(c_20307,plain,
( ( app(sK12(sK59,sK59),sK11(sK59,sK12(sK59,sK59))) = sK59 )
| ~ ssList(sK12(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20306,c_9003]) ).
tcf(c_20310,plain,
( ( sK12(sK59,sK59) = sK59 )
| ~ ssList(sK12(sK59,sK59))
| ~ frontsegP(sK12(sK59,sK59),sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20305,c_9003]) ).
tcf(c_20318,plain,
( ( sK12(sK56,sK56) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK12(sK56,sK56))
| ~ frontsegP(sK12(sK56,sK56),sK56) ),
inference(superposition,[status(thm)],[c_18701,c_174]) ).
tcf(c_20319,plain,
( ( app(sK12(sK56,sK56),sK11(sK56,sK12(sK56,sK56))) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK12(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_18701,c_63]) ).
tcf(c_20320,plain,
( ( app(sK12(sK56,sK56),sK11(sK56,sK12(sK56,sK56))) = sK56 )
| ~ ssList(sK12(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20319,c_9004]) ).
tcf(c_20323,plain,
( ( sK12(sK56,sK56) = sK56 )
| ~ ssList(sK12(sK56,sK56))
| ~ frontsegP(sK12(sK56,sK56),sK56) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20318,c_9004]) ).
tcf(c_20364,plain,
( frontsegP(iPr_def_12,sK12(sK58,sK58))
| ~ ssList(sK12(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_18661,c_18953]) ).
tcf(c_20398,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_15611,c_208]) ).
tcf(c_20399,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_15612,c_208]) ).
tcf(c_20400,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_15613,c_208]) ).
tcf(c_20401,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_16390,c_208]) ).
tcf(c_20402,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_16391,c_208]) ).
tcf(c_20403,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_16392,c_208]) ).
tcf(c_20453,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_15611,c_214]) ).
tcf(c_20454,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_15612,c_214]) ).
tcf(c_20455,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_15613,c_214]) ).
tcf(c_20456,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_16390,c_214]) ).
tcf(c_20457,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_16391,c_214]) ).
tcf(c_20458,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_16392,c_214]) ).
tcf(c_20602,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_19651,c_174]) ).
tcf(c_20603,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_19651,c_63]) ).
tcf(c_20604,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_20603,c_18402]) ).
tcf(c_20607,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_20602,c_18402]) ).
tcf(c_20628,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_19348]) ).
tcf(c_20629,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_19348]) ).
tcf(c_20630,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_19348]) ).
tcf(c_20631,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_19348]) ).
tcf(c_20632,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_19348]) ).
tcf(c_20633,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_19348]) ).
tcf(c_20634,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_19348]) ).
tcf(c_20644,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK34(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_19348]) ).
tcf(c_20645,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK33(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_19348]) ).
tcf(c_20646,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK32(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_19348]) ).
tcf(c_20647,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK39(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_19348]) ).
tcf(c_20648,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK38(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_19348]) ).
tcf(c_20649,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK37(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_19348]) ).
tcf(c_20650,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK44(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_19348]) ).
tcf(c_20651,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK43(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_19348]) ).
tcf(c_20652,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK42(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_19348]) ).
tcf(c_20653,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK48(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_19348]) ).
tcf(c_20654,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK47(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_19348]) ).
tcf(c_20655,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_19348]) ).
tcf(c_20656,plain,
( ( nil = sK56 )
| ( hd(app(sK56,nil)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_141,c_19348]) ).
tcf(c_20657,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( hd(app(sK56,sK49(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_19348]) ).
tcf(c_20658,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( hd(app(sK56,tl(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_19348]) ).
tcf(c_20659,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( hd(app(sK56,sK52(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_19348]) ).
tcf(c_20660,plain,
( ( nil = sK56 )
| ( hd(app(sK56,sK56)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_9004,c_19348]) ).
tcf(c_20661,plain,
( ( nil = sK56 )
| ( hd(app(sK56,sK59)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_9003,c_19348]) ).
tcf(c_20662,plain,
( ( nil = sK56 )
| ( hd(app(sK56,sK58)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_9000,c_19348]) ).
tcf(c_20663,plain,
( ( nil = sK56 )
| ( hd(app(sK56,iPr_def_12)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_12995,c_19348]) ).
tcf(c_20664,plain,
( ( nil = sK56 )
| ( hd(app(sK56,iPr_def_11)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_12859,c_19348]) ).
tcf(c_20665,plain,
( ( nil = sK56 )
| ( hd(app(sK56,iPr_def_10)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_18402,c_19348]) ).
tcf(c_20666,plain,
( ( nil = sK56 )
| ( hd(app(sK56,tl(sK56))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_15456,c_19348]) ).
tcf(c_20667,plain,
( ( nil = sK59 )
| ( nil = sK56 )
| ( hd(app(sK56,tl(sK59))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_15493,c_19348]) ).
tcf(c_20668,plain,
( ( nil = sK58 )
| ( nil = sK56 )
| ( hd(app(sK56,tl(sK58))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_15877,c_19348]) ).
tcf(c_20669,plain,
( ( nil = sK56 )
| ( hd(app(sK56,tl(iPr_def_12))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_19130,c_19348]) ).
tcf(c_21073,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_386,c_173]) ).
tcf(c_21075,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_21076,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_21078,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0) ),
inference(superposition,[status(thm)],[c_13748,c_173]) ).
tcf(c_21080,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_18418,c_173]) ).
tcf(c_21091,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_18420,c_173]) ).
tcf(c_21095,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_19651,c_173]) ).
tcf(c_21096,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21091,c_12995,c_18402]) ).
tcf(c_21100,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21080,c_18402,c_141]) ).
tcf(c_21105,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21076,c_141]) ).
tcf(c_21139,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,cons(sK57,X0))
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_8987,c_177]) ).
tcf(c_21140,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,cons(sK60,X0))
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_8986,c_177]) ).
tcf(c_21141,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_15611,c_177]) ).
tcf(c_21142,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_15612,c_177]) ).
tcf(c_21143,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_15613,c_177]) ).
tcf(c_21144,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_16390,c_177]) ).
tcf(c_21145,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_16391,c_177]) ).
tcf(c_21146,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_16392,c_177]) ).
tcf(c_21147,plain,
! [X0: $i] :
( frontsegP(cons(sK57,X0),iPr_def_11)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ),
inference(superposition,[status(thm)],[c_8987,c_177]) ).
tcf(c_21148,plain,
! [X0: $i] :
( frontsegP(cons(sK60,X0),iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ),
inference(superposition,[status(thm)],[c_8986,c_177]) ).
tcf(c_21149,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_15611,c_177]) ).
tcf(c_21150,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_15612,c_177]) ).
tcf(c_21151,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_15613,c_177]) ).
tcf(c_21152,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_16390,c_177]) ).
tcf(c_21153,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_16391,c_177]) ).
tcf(c_21154,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_16392,c_177]) ).
tcf(c_21155,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_21156,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_21157,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_21158,plain,
! [X0: $i] :
( frontsegP(cons(sK60,X0),iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21148,c_141,c_18410]) ).
tcf(c_21162,plain,
! [X0: $i] :
( frontsegP(cons(sK57,X0),iPr_def_11)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21147,c_141,c_8999]) ).
tcf(c_21166,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,cons(sK60,X0))
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21140,c_141,c_18410]) ).
tcf(c_21170,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,cons(sK57,X0))
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21139,c_141,c_8999]) ).
tcf(c_21318,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_383,c_183]) ).
tcf(c_21320,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_21321,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_21323,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_13618,c_183]) ).
tcf(c_21333,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_18423,c_183]) ).
tcf(c_21339,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_18392,c_183]) ).
tcf(c_21340,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(superposition,[status(thm)],[c_18422,c_183]) ).
tcf(c_21341,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21340,c_18402,c_9003]) ).
tcf(c_21345,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21333,c_18402,c_141]) ).
tcf(c_21350,plain,
! [X0: $i,X1: $i] :
( rearsegP(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21321,c_141]) ).
tcf(c_21390,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_21392,plain,
! [X0: $i,X1: $i] :
( segmentP(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21390,c_141]) ).
tcf(c_21429,plain,
( rearsegP(iPr_def_10,sK11(sK59,sK59))
| ~ ssList(sK11(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_18046,c_21341]) ).
tcf(c_21447,plain,
! [X0: $i] :
( frontsegP(cons(sK57,X0),iPr_def_11)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_21162,c_180,c_21162]) ).
tcf(c_21455,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_21447,c_173]) ).
tcf(c_21456,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_21447,c_174]) ).
tcf(c_21457,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_21447,c_63]) ).
tcf(c_21458,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_21457,c_12859]) ).
tcf(c_21462,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_21456,c_12859]) ).
tcf(c_21467,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_21455,c_12859]) ).
tcf(c_21517,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_21170,c_173]) ).
tcf(c_21518,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_21170,c_174]) ).
tcf(c_21519,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_21170,c_63]) ).
tcf(c_21520,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_21519,c_12859]) ).
tcf(c_21525,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_21518,c_12859]) ).
tcf(c_21531,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_21517,c_12859]) ).
tcf(c_21546,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_19349]) ).
tcf(c_21547,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_19349]) ).
tcf(c_21548,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_19349]) ).
tcf(c_21549,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_19349]) ).
tcf(c_21550,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_19349]) ).
tcf(c_21551,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_19349]) ).
tcf(c_21552,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_19349]) ).
tcf(c_21562,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK34(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_19349]) ).
tcf(c_21563,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK33(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_19349]) ).
tcf(c_21564,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK32(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_19349]) ).
tcf(c_21565,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK39(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_19349]) ).
tcf(c_21566,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK38(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_19349]) ).
tcf(c_21567,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK37(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_19349]) ).
tcf(c_21568,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK44(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_19349]) ).
tcf(c_21569,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK43(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_19349]) ).
tcf(c_21570,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK42(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_19349]) ).
tcf(c_21571,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK48(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_19349]) ).
tcf(c_21572,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK47(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_19349]) ).
tcf(c_21573,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_19349]) ).
tcf(c_21574,plain,
( ( nil = sK59 )
| ( hd(app(sK59,nil)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_141,c_19349]) ).
tcf(c_21575,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ( hd(app(sK59,sK49(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_19349]) ).
tcf(c_21576,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ( hd(app(sK59,tl(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_19349]) ).
tcf(c_21577,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ( hd(app(sK59,sK52(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_19349]) ).
tcf(c_21578,plain,
( ( nil = sK59 )
| ( hd(app(sK59,sK56)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_9004,c_19349]) ).
tcf(c_21579,plain,
( ( nil = sK59 )
| ( hd(app(sK59,sK59)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_9003,c_19349]) ).
tcf(c_21580,plain,
( ( nil = sK59 )
| ( hd(app(sK59,sK58)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_9000,c_19349]) ).
tcf(c_21581,plain,
( ( nil = sK59 )
| ( hd(app(sK59,iPr_def_12)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_12995,c_19349]) ).
tcf(c_21582,plain,
( ( nil = sK59 )
| ( hd(app(sK59,iPr_def_11)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_12859,c_19349]) ).
tcf(c_21583,plain,
( ( nil = sK59 )
| ( hd(app(sK59,iPr_def_10)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_18402,c_19349]) ).
tcf(c_21584,plain,
( ( nil = sK59 )
| ( nil = sK56 )
| ( hd(app(sK59,tl(sK56))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_15456,c_19349]) ).
tcf(c_21585,plain,
( ( nil = sK59 )
| ( hd(app(sK59,tl(sK59))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_15493,c_19349]) ).
tcf(c_21586,plain,
( ( nil = sK58 )
| ( nil = sK59 )
| ( hd(app(sK59,tl(sK58))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_15877,c_19349]) ).
tcf(c_21587,plain,
( ( nil = sK59 )
| ( hd(app(sK59,tl(iPr_def_12))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_19130,c_19349]) ).
tcf(c_21792,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_21793,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_21794,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_21795,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_21796,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_21797,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_21798,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_21808,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_21809,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_21810,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_21811,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_21812,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_21813,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_21814,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_21815,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_21816,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_21817,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_21818,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_21819,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_21821,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_21822,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_21823,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_21824,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( app(tl(sK56),X0) = tl(app(sK56,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9004,c_234]) ).
tcf(c_21825,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( app(tl(sK59),X0) = tl(app(sK59,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9003,c_234]) ).
tcf(c_21826,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( app(tl(sK58),X0) = tl(app(sK58,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9000,c_234]) ).
tcf(c_21827,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_12995,c_234]) ).
tcf(c_21828,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_12859,c_234]) ).
tcf(c_21829,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_18402,c_234]) ).
tcf(c_21830,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_15456,c_234]) ).
tcf(c_21831,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_15493,c_234]) ).
tcf(c_21832,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_15877,c_234]) ).
tcf(c_21833,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_19130,c_234]) ).
tcf(c_21834,plain,
! [X0: $i] :
( ( app(tl(iPr_def_10),X0) = tl(app(iPr_def_10,X0)) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21829,c_18417]) ).
tcf(c_21837,plain,
! [X0: $i] :
( ( nil = iPr_def_11 )
| ( tl(app(iPr_def_11,X0)) = app(nil,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_21828,c_14968]) ).
tcf(c_21838,plain,
! [X0: $i] :
( ( tl(app(iPr_def_11,X0)) = app(nil,X0) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21837,c_13900]) ).
tcf(c_21841,plain,
! [X0: $i] :
( ( app(tl(iPr_def_12),X0) = tl(app(iPr_def_12,X0)) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21827,c_17779]) ).
tcf(c_22326,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_18427,c_176]) ).
tcf(c_22327,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_18427,c_165]) ).
tcf(c_22328,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(superposition,[status(thm)],[c_18427,c_186]) ).
tcf(c_22329,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(superposition,[status(thm)],[c_18427,c_166]) ).
tcf(c_22330,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22329,c_12995,c_9003]) ).
tcf(c_22335,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22327,c_12995,c_9003]) ).
tcf(c_22342,plain,
( ssItem(hd(iPr_def_10))
| ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_18430,c_219]) ).
tcf(c_22343,plain,
ssItem(hd(iPr_def_10)),
inference(forward_subsumption_resolution,[status(thm)],[c_22342,c_18417,c_18402]) ).
tcf(c_22344,plain,
! [X0: $i] :
( ( app(cons(hd(iPr_def_10),nil),X0) = cons(hd(iPr_def_10),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_22343,c_227]) ).
tcf(c_22345,plain,
! [X0: $i] :
( ( tl(cons(hd(iPr_def_10),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_22343,c_152]) ).
tcf(c_22346,plain,
! [X0: $i] :
( ( hd(cons(hd(iPr_def_10),X0)) = hd(iPr_def_10) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_22343,c_150]) ).
tcf(c_22362,plain,
( memberP(iPr_def_10,sK57)
| ( app(nil,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_13356,c_22330]) ).
tcf(c_22363,plain,
( memberP(iPr_def_10,sK57)
| ( app(nil,sK8(sK58,sK57)) = sK8(sK58,sK57) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22362,c_8999]) ).
tcf(c_22372,plain,
( memberP(iPr_def_10,sK57)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_13011,c_22335]) ).
tcf(c_22373,plain,
memberP(iPr_def_10,sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_22372,c_8999]) ).
tcf(c_22374,plain,
( ( app(nil,sK8(iPr_def_10,sK57)) = sK8(iPr_def_10,sK57) )
| ~ ssList(iPr_def_10)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_22373,c_12668]) ).
tcf(c_22375,plain,
app(nil,sK8(iPr_def_10,sK57)) = sK8(iPr_def_10,sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_22374,c_18402,c_8999]) ).
tcf(c_22378,plain,
( frontsegP(sK8(iPr_def_10,sK57),nil)
| ~ ssList(nil)
| ~ ssList(sK8(iPr_def_10,sK57)) ),
inference(superposition,[status(thm)],[c_22375,c_386]) ).
tcf(c_22379,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_22375,c_383]) ).
tcf(c_22381,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_22375,c_176]) ).
tcf(c_22385,plain,
( frontsegP(sK8(iPr_def_10,sK57),nil)
| ~ ssList(sK8(iPr_def_10,sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22378,c_141]) ).
tcf(c_22388,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_22379,c_141]) ).
tcf(c_22391,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_22381,c_141]) ).
tcf(c_22420,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_19350]) ).
tcf(c_22421,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_19350]) ).
tcf(c_22422,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_19350]) ).
tcf(c_22423,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_19350]) ).
tcf(c_22424,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_19350]) ).
tcf(c_22425,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_19350]) ).
tcf(c_22426,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_19350]) ).
tcf(c_22436,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK34(X0))) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_19350]) ).
tcf(c_22437,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK33(X0))) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_19350]) ).
tcf(c_22438,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK32(X0))) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_19350]) ).
tcf(c_22439,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK39(X0))) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_19350]) ).
tcf(c_22440,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK38(X0))) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_19350]) ).
tcf(c_22441,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK37(X0))) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_19350]) ).
tcf(c_22442,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK44(X0))) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_19350]) ).
tcf(c_22443,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK43(X0))) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_19350]) ).
tcf(c_22444,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK42(X0))) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_19350]) ).
tcf(c_22445,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK48(X0))) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_19350]) ).
tcf(c_22446,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK47(X0))) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_19350]) ).
tcf(c_22447,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_19350]) ).
tcf(c_22448,plain,
( ( nil = sK58 )
| ( hd(app(sK58,nil)) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_141,c_19350]) ).
tcf(c_22449,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( X0 = nil )
| ( hd(app(sK58,sK49(X0))) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_19350]) ).
tcf(c_22450,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( X0 = nil )
| ( hd(app(sK58,tl(X0))) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_19350]) ).
tcf(c_22451,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( X0 = nil )
| ( hd(app(sK58,sK52(X0))) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_19350]) ).
tcf(c_22452,plain,
( ( nil = sK58 )
| ( hd(app(sK58,sK56)) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_9004,c_19350]) ).
tcf(c_22453,plain,
( ( nil = sK58 )
| ( hd(app(sK58,sK59)) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_9003,c_19350]) ).
tcf(c_22454,plain,
( ( nil = sK58 )
| ( hd(app(sK58,sK58)) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_9000,c_19350]) ).
tcf(c_22455,plain,
( ( nil = sK58 )
| ( hd(app(sK58,iPr_def_12)) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_12995,c_19350]) ).
tcf(c_22456,plain,
( ( nil = sK58 )
| ( hd(app(sK58,iPr_def_11)) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_12859,c_19350]) ).
tcf(c_22457,plain,
( ( nil = sK58 )
| ( hd(app(sK58,iPr_def_10)) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_18402,c_19350]) ).
tcf(c_22458,plain,
( ( nil = sK58 )
| ( nil = sK56 )
| ( hd(app(sK58,tl(sK56))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_15456,c_19350]) ).
tcf(c_22459,plain,
( ( nil = sK58 )
| ( nil = sK59 )
| ( hd(app(sK58,tl(sK59))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_15493,c_19350]) ).
tcf(c_22460,plain,
( ( nil = sK58 )
| ( hd(app(sK58,tl(sK58))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_15877,c_19350]) ).
tcf(c_22461,plain,
( ( nil = sK58 )
| ( hd(app(sK58,tl(iPr_def_12))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_19130,c_19350]) ).
tcf(c_22464,plain,
( ( nil = sK58 )
| ( hd(sK58) = hd(iPr_def_12) ) ),
inference(light_normalisation,[status(thm)],[c_22456,c_8988]) ).
tcf(c_22685,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_22686,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_22687,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_22694,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_22695,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_22696,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_22697,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_22698,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_22699,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_22700,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_22701,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_22702,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_22703,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_22704,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_22705,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(X1,X0)) = app(cons(sK57,X1),X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8999,c_154]) ).
tcf(c_22706,plain,
! [X0: $i,X1: $i] :
( ( cons(sK60,app(X1,X0)) = app(cons(sK60,X1),X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_18410,c_154]) ).
tcf(c_22707,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_15134,c_154]) ).
tcf(c_22708,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_15411,c_154]) ).
tcf(c_22709,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_15433,c_154]) ).
tcf(c_22710,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_22343,c_154]) ).
tcf(c_22878,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_22883,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_8988,c_167]) ).
tcf(c_22884,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_18427,c_167]) ).
tcf(c_22900,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_17914,c_167]) ).
tcf(c_22901,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_17911,c_167]) ).
tcf(c_22902,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_17910,c_167]) ).
tcf(c_22903,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_17909,c_167]) ).
tcf(c_22910,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_18473,c_167]) ).
tcf(c_22911,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_18472,c_167]) ).
tcf(c_22912,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_18471,c_167]) ).
tcf(c_22913,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_19638,c_167]) ).
tcf(c_22915,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_22884,c_12995,c_9003]) ).
tcf(c_22920,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_22883,c_12859,c_9000]) ).
tcf(c_22925,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_22913,c_9003]) ).
tcf(c_22931,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_22912,c_141]) ).
tcf(c_22937,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_22911,c_141]) ).
tcf(c_22943,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_22910,c_141]) ).
tcf(c_22949,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_22903,c_141]) ).
tcf(c_22955,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_22902,c_141]) ).
tcf(c_22961,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_22901,c_141]) ).
tcf(c_22967,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_22900,c_9000]) ).
tcf(c_23017,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_23018,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_23019,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_23020,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_23021,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_23022,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_23023,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_23033,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_23034,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_23035,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_23036,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_23037,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_23038,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_23039,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_23040,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_23041,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_23042,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_23043,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_23044,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_23045,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_23046,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_23047,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_23048,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_23049,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),sK56) = app(X0,app(X1,sK56)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9004,c_228]) ).
tcf(c_23050,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),sK59) = app(X0,app(X1,sK59)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9003,c_228]) ).
tcf(c_23051,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),sK58) = app(X0,app(X1,sK58)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9000,c_228]) ).
tcf(c_23052,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_12995,c_228]) ).
tcf(c_23053,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_12859,c_228]) ).
tcf(c_23054,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_18402,c_228]) ).
tcf(c_23055,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_15456,c_228]) ).
tcf(c_23056,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_15493,c_228]) ).
tcf(c_23057,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_15877,c_228]) ).
tcf(c_23058,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_19130,c_228]) ).
tcf(c_23480,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_23481,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_23482,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_23483,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_23484,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_23485,plain,
( memberP(sK59,sK57)
| ( app(sK8(sK58,sK57),cons(sK57,sK9(sK58,sK57))) = sK58 )
| ~ ssList(sK58)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_9001,c_57]) ).
tcf(c_23486,plain,
( ( app(nil,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ( app(sK8(sK59,sK57),cons(sK57,sK9(sK59,sK57))) = sK59 )
| ~ ssList(sK59)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_13356,c_57]) ).
tcf(c_23487,plain,
( ( app(sK8(sK56,sK60),cons(sK60,sK9(sK56,sK60))) = sK56 )
| ~ ssList(sK56)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_18409,c_57]) ).
tcf(c_23488,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_12240,c_57]) ).
tcf(c_23489,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_13011,c_57]) ).
tcf(c_23490,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_12933,c_57]) ).
tcf(c_23491,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_18431,c_57]) ).
tcf(c_23492,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_22373,c_57]) ).
tcf(c_23493,plain,
app(sK8(iPr_def_10,sK57),cons(sK57,sK9(iPr_def_10,sK57))) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_23492,c_18402,c_8999]) ).
tcf(c_23494,plain,
app(sK8(iPr_def_10,sK60),cons(sK60,sK9(iPr_def_10,sK60))) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_23491,c_18402,c_18410]) ).
tcf(c_23495,plain,
app(sK8(iPr_def_11,sK57),cons(sK57,sK9(iPr_def_11,sK57))) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_23490,c_12859,c_8999]) ).
tcf(c_23496,plain,
app(sK8(iPr_def_12,sK57),cons(sK57,sK9(iPr_def_12,sK57))) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_23489,c_12995,c_8999]) ).
tcf(c_23497,plain,
app(sK8(sK56,sK60),cons(sK60,sK9(sK56,sK60))) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_23487,c_9004,c_18410]) ).
tcf(c_23498,plain,
( memberP(sK59,sK57)
| ( app(sK8(sK58,sK57),cons(sK57,sK9(sK58,sK57))) = sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23485,c_9000,c_8999]) ).
tcf(c_23501,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_23486,c_9003,c_8999]) ).
tcf(c_23504,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_23488,c_8999]) ).
tcf(c_23558,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_23493,c_167]) ).
tcf(c_23561,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_23493,c_386]) ).
tcf(c_23562,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_23493,c_383]) ).
tcf(c_23564,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_23493,c_176]) ).
tcf(c_23565,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_23493,c_165]) ).
tcf(c_23566,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_23493,c_186]) ).
tcf(c_23567,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_23493,c_166]) ).
tcf(c_23604,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_23495,c_167]) ).
tcf(c_23607,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_23495,c_386]) ).
tcf(c_23608,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_23495,c_383]) ).
tcf(c_23610,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_23495,c_176]) ).
tcf(c_23611,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_23495,c_165]) ).
tcf(c_23612,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_23495,c_186]) ).
tcf(c_23613,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_23495,c_166]) ).
tcf(c_23650,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_23496,c_167]) ).
tcf(c_23653,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_23496,c_386]) ).
tcf(c_23654,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_23496,c_383]) ).
tcf(c_23656,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_23496,c_176]) ).
tcf(c_23657,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_23496,c_165]) ).
tcf(c_23658,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_23496,c_186]) ).
tcf(c_23659,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_23496,c_166]) ).
tcf(c_23696,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_23497,c_167]) ).
tcf(c_23697,plain,
( ( sK8(sK56,sK60) = nil )
| ~ ssList(sK8(sK56,sK60))
| ~ ssList(cons(sK60,sK9(sK56,sK60)))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_23497,c_231]) ).
tcf(c_23698,plain,
( ( cons(sK60,sK9(sK56,sK60)) = nil )
| ~ ssList(sK8(sK56,sK60))
| ~ ssList(cons(sK60,sK9(sK56,sK60)))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_23497,c_230]) ).
tcf(c_23699,plain,
( frontsegP(sK56,sK8(sK56,sK60))
| ~ ssList(sK8(sK56,sK60))
| ~ ssList(cons(sK60,sK9(sK56,sK60))) ),
inference(superposition,[status(thm)],[c_23497,c_386]) ).
tcf(c_23700,plain,
( rearsegP(sK56,cons(sK60,sK9(sK56,sK60)))
| ~ ssList(sK8(sK56,sK60))
| ~ ssList(cons(sK60,sK9(sK56,sK60))) ),
inference(superposition,[status(thm)],[c_23497,c_383]) ).
tcf(c_23702,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_23497,c_176]) ).
tcf(c_23703,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_23497,c_165]) ).
tcf(c_23704,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_23497,c_186]) ).
tcf(c_23705,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_23497,c_166]) ).
tcf(c_23757,plain,
( memberP(iPr_def_12,sK60)
| memberP(sK59,sK60)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_18431,c_22915]) ).
tcf(c_23759,plain,
( memberP(iPr_def_12,sK60)
| memberP(sK59,sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23757,c_18410]) ).
tcf(c_23771,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_23772,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_23773,plain,
( ( app(app(sK13(nil,nil),nil),sK14(nil,nil)) = nil )
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_371,c_70]) ).
tcf(c_23774,plain,
app(app(sK13(nil,nil),nil),sK14(nil,nil)) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_23773,c_141]) ).
tcf(c_23777,plain,
! [X0: $i] :
( ( app(app(sK13(X0,nil),nil),sK14(X0,nil)) = X0 )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23772,c_141]) ).
tcf(c_23786,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_23787,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_23788,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_23789,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_23790,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_23791,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_23792,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_23802,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_23803,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_23804,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_23805,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_23806,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_23807,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_23808,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_23809,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_23810,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_23811,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_23812,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_23813,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_23815,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_23816,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_23817,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_23818,plain,
( totalorderedP(sK56)
| ( app(app(sK32(sK56),cons(sK30(sK56),sK33(sK56))),cons(sK31(sK56),sK34(sK56))) = sK56 ) ),
inference(superposition,[status(thm)],[c_9004,c_108]) ).
tcf(c_23819,plain,
( totalorderedP(sK59)
| ( app(app(sK32(sK59),cons(sK30(sK59),sK33(sK59))),cons(sK31(sK59),sK34(sK59))) = sK59 ) ),
inference(superposition,[status(thm)],[c_9003,c_108]) ).
tcf(c_23820,plain,
( totalorderedP(sK58)
| ( app(app(sK32(sK58),cons(sK30(sK58),sK33(sK58))),cons(sK31(sK58),sK34(sK58))) = sK58 ) ),
inference(superposition,[status(thm)],[c_9000,c_108]) ).
tcf(c_23821,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_12995,c_108]) ).
tcf(c_23824,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_15456,c_108]) ).
tcf(c_23825,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_15493,c_108]) ).
tcf(c_23826,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_15877,c_108]) ).
tcf(c_23827,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_19130,c_108]) ).
tcf(c_24072,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_24073,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_24074,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_24075,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_24076,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_24077,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_24078,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_24088,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_24089,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_24090,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_24091,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_24092,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_24093,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_24094,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_24095,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_24096,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_24097,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_24098,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_24099,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_24101,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_24102,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_24103,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_24104,plain,
( strictorderedP(sK56)
| ( app(app(sK37(sK56),cons(sK35(sK56),sK38(sK56))),cons(sK36(sK56),sK39(sK56))) = sK56 ) ),
inference(superposition,[status(thm)],[c_9004,c_116]) ).
tcf(c_24105,plain,
( strictorderedP(sK59)
| ( app(app(sK37(sK59),cons(sK35(sK59),sK38(sK59))),cons(sK36(sK59),sK39(sK59))) = sK59 ) ),
inference(superposition,[status(thm)],[c_9003,c_116]) ).
tcf(c_24106,plain,
( strictorderedP(sK58)
| ( app(app(sK37(sK58),cons(sK35(sK58),sK38(sK58))),cons(sK36(sK58),sK39(sK58))) = sK58 ) ),
inference(superposition,[status(thm)],[c_9000,c_116]) ).
tcf(c_24107,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_12995,c_116]) ).
tcf(c_24110,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_15456,c_116]) ).
tcf(c_24111,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_15493,c_116]) ).
tcf(c_24112,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_15877,c_116]) ).
tcf(c_24113,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_19130,c_116]) ).
tcf(c_24337,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_24338,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_24339,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_24340,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_24341,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_24342,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_24343,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_24353,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_24354,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_24355,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_24356,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_24357,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_24358,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_24359,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_24360,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_24361,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_24362,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_24363,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_24364,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_24366,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_24367,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_24368,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_24369,plain,
( duplicatefreeP(sK56)
| ( app(app(sK42(sK56),cons(sK40(sK56),sK43(sK56))),cons(sK41(sK56),sK44(sK56))) = sK56 ) ),
inference(superposition,[status(thm)],[c_9004,c_124]) ).
tcf(c_24370,plain,
( duplicatefreeP(sK59)
| ( app(app(sK42(sK59),cons(sK40(sK59),sK43(sK59))),cons(sK41(sK59),sK44(sK59))) = sK59 ) ),
inference(superposition,[status(thm)],[c_9003,c_124]) ).
tcf(c_24371,plain,
( duplicatefreeP(sK58)
| ( app(app(sK42(sK58),cons(sK40(sK58),sK43(sK58))),cons(sK41(sK58),sK44(sK58))) = sK58 ) ),
inference(superposition,[status(thm)],[c_9000,c_124]) ).
tcf(c_24372,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_12995,c_124]) ).
tcf(c_24375,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_15456,c_124]) ).
tcf(c_24376,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_15493,c_124]) ).
tcf(c_24377,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_15877,c_124]) ).
tcf(c_24378,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_19130,c_124]) ).
tcf(c_24545,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_23759,c_57]) ).
tcf(c_24546,plain,
( memberP(iPr_def_12,sK60)
| ( app(nil,sK8(sK59,sK60)) = sK8(sK59,sK60) )
| ~ ssList(sK59)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_23759,c_12668]) ).
tcf(c_24548,plain,
( memberP(iPr_def_12,sK60)
| ( app(nil,sK8(sK59,sK60)) = sK8(sK59,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24546,c_9003,c_18410]) ).
tcf(c_24551,plain,
( memberP(iPr_def_12,sK60)
| ( app(sK8(sK59,sK60),cons(sK60,sK9(sK59,sK60))) = sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24545,c_9003,c_18410]) ).
tcf(c_24604,plain,
ssItem(hd(iPr_def_13)),
inference(global_subsumption_just,[status(thm)],[c_15501,c_15501,c_17779,c_17841]) ).
tcf(c_24620,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_24548,c_57]) ).
tcf(c_24621,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_24548,c_12668]) ).
tcf(c_24622,plain,
( memberP(iPr_def_11,sK60)
| memberP(sK58,sK60)
| ( app(nil,sK8(sK59,sK60)) = sK8(sK59,sK60) )
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_24548,c_22920]) ).
tcf(c_24624,plain,
( memberP(iPr_def_11,sK60)
| memberP(sK58,sK60)
| ( app(nil,sK8(sK59,sK60)) = sK8(sK59,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24622,c_18410]) ).
tcf(c_24628,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_24621,c_12995,c_18410]) ).
tcf(c_24631,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_24620,c_12995,c_18410]) ).
tcf(c_24642,plain,
( ( app(sK8(sK58,sK57),cons(sK57,sK9(sK58,sK57))) = sK58 )
| ( app(sK8(sK59,sK57),cons(sK57,sK9(sK59,sK57))) = sK59 )
| ~ ssList(sK59)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_23498,c_57]) ).
tcf(c_24643,plain,
( ( app(nil,sK8(sK59,sK57)) = sK8(sK59,sK57) )
| ( app(sK8(sK58,sK57),cons(sK57,sK9(sK58,sK57))) = sK58 )
| ~ ssList(sK59)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_23498,c_12668]) ).
tcf(c_24645,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_24643,c_9003,c_8999]) ).
tcf(c_24648,plain,
( ( app(sK8(sK58,sK57),cons(sK57,sK9(sK58,sK57))) = sK58 )
| ( app(sK8(sK59,sK57),cons(sK57,sK9(sK59,sK57))) = sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24642,c_9003,c_8999]) ).
tcf(c_24655,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_24551,c_57]) ).
tcf(c_24656,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_24551,c_12668]) ).
tcf(c_24657,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_24551,c_22920]) ).
tcf(c_24659,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_24657,c_18410]) ).
tcf(c_24663,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_24656,c_12995,c_18410]) ).
tcf(c_24666,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_24655,c_12995,c_18410]) ).
tcf(c_24701,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( X0 = sK57 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_8987,c_170]) ).
tcf(c_24702,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( X0 = sK60 )
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_8986,c_170]) ).
tcf(c_24703,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_15611,c_170]) ).
tcf(c_24704,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_15612,c_170]) ).
tcf(c_24705,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_15613,c_170]) ).
tcf(c_24706,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_16390,c_170]) ).
tcf(c_24707,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_16391,c_170]) ).
tcf(c_24708,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_16392,c_170]) ).
tcf(c_24709,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( X0 = sK60 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24702,c_141,c_18410]) ).
tcf(c_24714,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( X0 = sK57 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24701,c_141,c_8999]) ).
tcf(c_24805,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_24806,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_14796,c_206]) ).
tcf(c_24807,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_14787,c_206]) ).
tcf(c_24808,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_14788,c_206]) ).
tcf(c_24809,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_14789,c_206]) ).
tcf(c_24810,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_14791,c_206]) ).
tcf(c_24811,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_14792,c_206]) ).
tcf(c_24812,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_16042,c_206]) ).
tcf(c_24813,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_16043,c_206]) ).
tcf(c_24814,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_16044,c_206]) ).
tcf(c_24815,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_20660,c_206]) ).
tcf(c_24816,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_20661,c_206]) ).
tcf(c_24817,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_20662,c_206]) ).
tcf(c_24818,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_21578,c_206]) ).
tcf(c_24819,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_21579,c_206]) ).
tcf(c_24820,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_21580,c_206]) ).
tcf(c_24821,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_22452,c_206]) ).
tcf(c_24822,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_22453,c_206]) ).
tcf(c_24823,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_22454,c_206]) ).
tcf(c_24829,plain,
! [X0: $i] :
( totalorderedP(cons(X0,iPr_def_11))
| ~ ssItem(X0)
| ~ leq(X0,sK57) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24806,c_13900,c_12281,c_12859]) ).
tcf(c_25104,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_14796,c_212]) ).
tcf(c_25105,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_14787,c_212]) ).
tcf(c_25106,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_14788,c_212]) ).
tcf(c_25107,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_14789,c_212]) ).
tcf(c_25108,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_14791,c_212]) ).
tcf(c_25109,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_14792,c_212]) ).
tcf(c_25110,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_16042,c_212]) ).
tcf(c_25111,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_16043,c_212]) ).
tcf(c_25112,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_16044,c_212]) ).
tcf(c_25113,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_20660,c_212]) ).
tcf(c_25114,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_20661,c_212]) ).
tcf(c_25115,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_20662,c_212]) ).
tcf(c_25116,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_21578,c_212]) ).
tcf(c_25117,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_21579,c_212]) ).
tcf(c_25118,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_21580,c_212]) ).
tcf(c_25119,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_22452,c_212]) ).
tcf(c_25120,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_22453,c_212]) ).
tcf(c_25121,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_22454,c_212]) ).
tcf(c_25122,plain,
! [X0: $i] :
( strictorderedP(cons(X0,iPr_def_11))
| ~ ssItem(X0)
| ~ lt(X0,sK57) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25104,c_13900,c_12295,c_12859]) ).
tcf(c_25334,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,nil) != nil ) ),
inference(superposition,[status(thm)],[c_377,c_225]) ).
tcf(c_25335,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_8988,c_225]) ).
tcf(c_25336,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_18427,c_225]) ).
tcf(c_25337,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_12892,c_225]) ).
tcf(c_25338,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_18400,c_225]) ).
tcf(c_25339,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,sK56) != sK56 ) ),
inference(superposition,[status(thm)],[c_12690,c_225]) ).
tcf(c_25340,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,sK59) != sK59 ) ),
inference(superposition,[status(thm)],[c_12691,c_225]) ).
tcf(c_25341,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,sK58) != sK58 ) ),
inference(superposition,[status(thm)],[c_12692,c_225]) ).
tcf(c_25342,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,nil) != sK56 ) ),
inference(superposition,[status(thm)],[c_12785,c_225]) ).
tcf(c_25343,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,nil) != sK59 ) ),
inference(superposition,[status(thm)],[c_12786,c_225]) ).
tcf(c_25344,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,nil) != sK58 ) ),
inference(superposition,[status(thm)],[c_12787,c_225]) ).
tcf(c_25345,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_12891,c_225]) ).
tcf(c_25346,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_18401,c_225]) ).
tcf(c_25347,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_13022,c_225]) ).
tcf(c_25348,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_13023,c_225]) ).
tcf(c_25349,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,sK8(sK59,sK57)) = sK8(sK59,sK57) )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(sK58,sK57))
| ( app(X0,sK8(sK58,sK57)) != sK8(sK58,sK57) ) ),
inference(superposition,[status(thm)],[c_13504,c_225]) ).
tcf(c_25350,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_13355,c_225]) ).
tcf(c_25351,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_13354,c_225]) ).
tcf(c_25352,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_17914,c_225]) ).
tcf(c_25353,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ( app(X0,sK11(sK56,nil)) != sK56 ) ),
inference(superposition,[status(thm)],[c_17911,c_225]) ).
tcf(c_25354,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ( app(X0,sK11(sK59,nil)) != sK59 ) ),
inference(superposition,[status(thm)],[c_17910,c_225]) ).
tcf(c_25355,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK58,nil))
| ( app(X0,sK11(sK58,nil)) != sK58 ) ),
inference(superposition,[status(thm)],[c_17909,c_225]) ).
tcf(c_25356,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,sK56))
| ( app(X0,sK11(sK56,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_17903,c_225]) ).
tcf(c_25357,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,sK59))
| ( app(X0,sK11(sK59,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_17902,c_225]) ).
tcf(c_25358,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(sK58,sK58))
| ( app(X0,sK11(sK58,sK58)) != sK58 ) ),
inference(superposition,[status(thm)],[c_17901,c_225]) ).
tcf(c_25359,plain,
! [X0: $i] :
( ( sK12(sK56,sK56) = X0 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,sK56))
| ( app(X0,sK56) != sK56 ) ),
inference(superposition,[status(thm)],[c_18464,c_225]) ).
tcf(c_25360,plain,
! [X0: $i] :
( ( sK12(sK59,sK59) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,sK59))
| ( app(X0,sK59) != sK59 ) ),
inference(superposition,[status(thm)],[c_18463,c_225]) ).
tcf(c_25361,plain,
! [X0: $i] :
( ( sK12(sK58,sK58) = X0 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,sK58))
| ( app(X0,sK58) != sK58 ) ),
inference(superposition,[status(thm)],[c_18462,c_225]) ).
tcf(c_25362,plain,
! [X0: $i] :
( ( sK12(sK56,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ( app(X0,nil) != sK56 ) ),
inference(superposition,[status(thm)],[c_18473,c_225]) ).
tcf(c_25363,plain,
! [X0: $i] :
( ( sK12(sK59,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ( app(X0,nil) != sK59 ) ),
inference(superposition,[status(thm)],[c_18472,c_225]) ).
tcf(c_25364,plain,
! [X0: $i] :
( ( sK12(sK58,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,nil))
| ( app(X0,nil) != sK58 ) ),
inference(superposition,[status(thm)],[c_18471,c_225]) ).
tcf(c_25365,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_19638,c_225]) ).
tcf(c_25366,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_22375,c_225]) ).
tcf(c_25367,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_23497,c_225]) ).
tcf(c_25368,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_23496,c_225]) ).
tcf(c_25369,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_23495,c_225]) ).
tcf(c_25370,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_23493,c_225]) ).
tcf(c_25372,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,nil) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25334,c_141]) ).
tcf(c_25376,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,iPr_def_12) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25348,c_12995,c_141]) ).
tcf(c_25380,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ( app(X0,nil) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25347,c_12995,c_141]) ).
tcf(c_25384,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(X0,nil) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25346,c_18402,c_141]) ).
tcf(c_25388,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(X0,nil) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25345,c_12859,c_141]) ).
tcf(c_25392,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ( app(X0,nil) != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25344,c_9000,c_141]) ).
tcf(c_25396,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ( app(X0,nil) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25343,c_9003,c_141]) ).
tcf(c_25400,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ( app(X0,nil) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25342,c_9004,c_141]) ).
tcf(c_25404,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,sK58) != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25341,c_9000,c_141]) ).
tcf(c_25408,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,sK59) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25340,c_9003,c_141]) ).
tcf(c_25412,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,sK56) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25339,c_9004,c_141]) ).
tcf(c_25416,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,iPr_def_10) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25338,c_18402,c_141]) ).
tcf(c_25420,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,iPr_def_11) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25337,c_12859,c_141]) ).
tcf(c_25424,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ( app(X0,sK59) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25336,c_12995,c_9003]) ).
tcf(c_25428,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ( app(X0,iPr_def_11) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25335,c_12859,c_9000]) ).
tcf(c_25432,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_25365,c_9003]) ).
tcf(c_25437,plain,
! [X0: $i] :
( ( sK12(sK58,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK58,nil))
| ( app(X0,nil) != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25364,c_141]) ).
tcf(c_25442,plain,
! [X0: $i] :
( ( sK12(sK59,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ( app(X0,nil) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25363,c_141]) ).
tcf(c_25447,plain,
! [X0: $i] :
( ( sK12(sK56,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ( app(X0,nil) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25362,c_141]) ).
tcf(c_25452,plain,
! [X0: $i] :
( ( sK12(sK58,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK58,sK58))
| ( app(X0,sK58) != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25361,c_9000]) ).
tcf(c_25457,plain,
! [X0: $i] :
( ( sK12(sK59,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK59,sK59))
| ( app(X0,sK59) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25360,c_9003]) ).
tcf(c_25462,plain,
! [X0: $i] :
( ( sK12(sK56,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK56,sK56))
| ( app(X0,sK56) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25359,c_9004]) ).
tcf(c_25467,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ~ ssList(sK11(sK58,sK58))
| ( app(X0,sK11(sK58,sK58)) != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25358,c_9000]) ).
tcf(c_25472,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(sK11(sK59,sK59))
| ( app(X0,sK11(sK59,sK59)) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25357,c_9003]) ).
tcf(c_25477,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ~ ssList(sK11(sK56,sK56))
| ( app(X0,sK11(sK56,sK56)) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25356,c_9004]) ).
tcf(c_25482,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK11(sK58,nil))
| ( app(X0,sK11(sK58,nil)) != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25355,c_141]) ).
tcf(c_25487,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ( app(X0,sK11(sK59,nil)) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25354,c_141]) ).
tcf(c_25492,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ( app(X0,sK11(sK56,nil)) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25353,c_141]) ).
tcf(c_25497,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_25352,c_9000]) ).
tcf(c_25502,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_25366,c_141]) ).
tcf(c_25507,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_25351,c_141]) ).
tcf(c_25512,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_25350,c_141]) ).
tcf(c_25537,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,sK8(sK59,sK57)) = sK8(sK59,sK57) )
| ~ ssList(X0)
| ~ ssList(sK8(sK58,sK57))
| ( app(X0,sK8(sK58,sK57)) != sK8(sK58,sK57) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25349,c_141]) ).
tcf(c_25870,plain,
ssItem(hd(iPr_def_12)),
inference(global_subsumption_just,[status(thm)],[c_16349,c_16349,c_17779]) ).
tcf(c_25872,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_25870,c_154]) ).
tcf(c_25873,plain,
! [X0: $i] :
( ( app(cons(hd(iPr_def_12),nil),X0) = cons(hd(iPr_def_12),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_25870,c_227]) ).
tcf(c_25874,plain,
! [X0: $i] :
( ( tl(cons(hd(iPr_def_12),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_25870,c_152]) ).
tcf(c_25875,plain,
! [X0: $i] :
( ( hd(cons(hd(iPr_def_12),X0)) = hd(iPr_def_12) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_25870,c_150]) ).
tcf(c_25889,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_17164,c_54]) ).
tcf(c_25895,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_17164,c_170]) ).
tcf(c_25902,plain,
( memberP(iPr_def_11,sK10(iPr_def_11))
| ~ ssList(nil)
| ~ ssItem(sK10(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_17164,c_168]) ).
tcf(c_25904,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_17164,c_177]) ).
tcf(c_25905,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_17164,c_169]) ).
tcf(c_25906,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_17164,c_177]) ).
tcf(c_25907,plain,
( memberP(iPr_def_11,sK10(iPr_def_11))
| ~ ssItem(sK10(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25902,c_141]) ).
tcf(c_25910,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_25905,c_141]) ).
tcf(c_25915,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_25906,c_141]) ).
tcf(c_25920,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_25904,c_141]) ).
tcf(c_25925,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_25895,c_141]) ).
tcf(c_25931,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_25889,c_17164]) ).
tcf(c_25932,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_25931,c_141]) ).
tcf(c_25943,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_18642,c_212]) ).
tcf(c_25944,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_18642,c_206]) ).
tcf(c_25959,plain,
! [X0: $i] :
( ~ memberP(iPr_def_11,X0)
| ~ ssItem(X0)
| ( X0 = sK57 ) ),
inference(global_subsumption_just,[status(thm)],[c_24714,c_171,c_24714]) ).
tcf(c_25960,plain,
! [X0: $i] :
( ( X0 = sK57 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(renaming,[status(thm)],[c_25959]) ).
tcf(c_25982,plain,
( ( sK12(sK56,nil) = sK58 )
| ~ ssList(sK12(sK56,nil))
| ( sK56 != sK58 ) ),
inference(superposition,[status(thm)],[c_18473,c_25392]) ).
tcf(c_25983,plain,
( ( sK12(sK59,nil) = sK58 )
| ~ ssList(sK12(sK59,nil))
| ( sK59 != sK58 ) ),
inference(superposition,[status(thm)],[c_18472,c_25392]) ).
tcf(c_25984,plain,
( ( sK12(sK58,nil) = sK58 )
| ~ ssList(sK12(sK58,nil)) ),
inference(superposition,[status(thm)],[c_18471,c_25392]) ).
tcf(c_26006,plain,
( ( sK12(sK56,nil) = sK59 )
| ~ ssList(sK12(sK56,nil))
| ( sK56 != sK59 ) ),
inference(superposition,[status(thm)],[c_18473,c_25396]) ).
tcf(c_26007,plain,
( ( sK12(sK59,nil) = sK59 )
| ~ ssList(sK12(sK59,nil)) ),
inference(superposition,[status(thm)],[c_18472,c_25396]) ).
tcf(c_26008,plain,
( ( sK12(sK58,nil) = sK59 )
| ~ ssList(sK12(sK58,nil))
| ( sK59 != sK58 ) ),
inference(superposition,[status(thm)],[c_18471,c_25396]) ).
tcf(c_26030,plain,
( ( sK12(sK56,nil) = sK56 )
| ~ ssList(sK12(sK56,nil)) ),
inference(superposition,[status(thm)],[c_18473,c_25400]) ).
tcf(c_26031,plain,
( ( sK12(sK59,nil) = sK56 )
| ~ ssList(sK12(sK59,nil))
| ( sK56 != sK59 ) ),
inference(superposition,[status(thm)],[c_18472,c_25400]) ).
tcf(c_26032,plain,
( ( sK12(sK58,nil) = sK56 )
| ~ ssList(sK12(sK58,nil))
| ( sK56 != sK58 ) ),
inference(superposition,[status(thm)],[c_18471,c_25400]) ).
tcf(c_26048,plain,
( ( sK12(sK58,sK58) = nil )
| ~ ssList(sK12(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_18462,c_25404]) ).
tcf(c_26057,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ( sK59 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_18427,c_25408]) ).
tcf(c_26059,plain,
( ( sK12(sK59,sK59) = nil )
| ~ ssList(sK12(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_18463,c_25408]) ).
tcf(c_26063,plain,
sK59 != iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_26057,c_17779,c_12995]) ).
tcf(c_26064,plain,
~ rearsegP(sK59,iPr_def_10),
inference(backward_subsumption_resolution,[status(thm)],[c_19639,c_26063]) ).
tcf(c_26072,plain,
( ( sK12(sK56,sK56) = nil )
| ~ ssList(sK12(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_18464,c_25412]) ).
tcf(c_26084,plain,
( ( sK12(iPr_def_10,sK59) = iPr_def_12 )
| ~ ssList(sK12(iPr_def_10,sK59)) ),
inference(superposition,[status(thm)],[c_19638,c_25424]) ).
tcf(c_26134,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(nil,X0) != nil ) ),
inference(superposition,[status(thm)],[c_377,c_226]) ).
tcf(c_26135,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_8988,c_226]) ).
tcf(c_26136,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_18427,c_226]) ).
tcf(c_26137,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_12892,c_226]) ).
tcf(c_26138,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_18400,c_226]) ).
tcf(c_26139,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(nil,X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_12690,c_226]) ).
tcf(c_26140,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(nil,X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_12691,c_226]) ).
tcf(c_26141,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(nil,X0) != sK58 ) ),
inference(superposition,[status(thm)],[c_12692,c_226]) ).
tcf(c_26142,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(sK56,X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_12785,c_226]) ).
tcf(c_26143,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(sK59,X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_12786,c_226]) ).
tcf(c_26144,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(sK58,X0) != sK58 ) ),
inference(superposition,[status(thm)],[c_12787,c_226]) ).
tcf(c_26145,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_12891,c_226]) ).
tcf(c_26146,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_18401,c_226]) ).
tcf(c_26147,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_13022,c_226]) ).
tcf(c_26148,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_13023,c_226]) ).
tcf(c_26149,plain,
! [X0: $i] :
( ( sK8(sK58,sK57) = X0 )
| ( app(nil,sK8(sK59,sK57)) = sK8(sK59,sK57) )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(sK58,sK57))
| ( app(nil,X0) != sK8(sK58,sK57) ) ),
inference(superposition,[status(thm)],[c_13504,c_226]) ).
tcf(c_26150,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_13355,c_226]) ).
tcf(c_26151,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_13354,c_226]) ).
tcf(c_26152,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_17914,c_226]) ).
tcf(c_26153,plain,
! [X0: $i] :
( ( sK11(sK56,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ( app(nil,X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_17911,c_226]) ).
tcf(c_26154,plain,
! [X0: $i] :
( ( sK11(sK59,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ( app(nil,X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_17910,c_226]) ).
tcf(c_26155,plain,
! [X0: $i] :
( ( sK11(sK58,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK58,nil))
| ( app(nil,X0) != sK58 ) ),
inference(superposition,[status(thm)],[c_17909,c_226]) ).
tcf(c_26156,plain,
! [X0: $i] :
( ( sK11(sK56,sK56) = X0 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,sK56))
| ( app(sK56,X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_17903,c_226]) ).
tcf(c_26157,plain,
! [X0: $i] :
( ( sK11(sK59,sK59) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,sK59))
| ( app(sK59,X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_17902,c_226]) ).
tcf(c_26158,plain,
! [X0: $i] :
( ( sK11(sK58,sK58) = X0 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(sK58,sK58))
| ( app(sK58,X0) != sK58 ) ),
inference(superposition,[status(thm)],[c_17901,c_226]) ).
tcf(c_26159,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,sK56))
| ( app(sK12(sK56,sK56),X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_18464,c_226]) ).
tcf(c_26160,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,sK59))
| ( app(sK12(sK59,sK59),X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_18463,c_226]) ).
tcf(c_26161,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,sK58))
| ( app(sK12(sK58,sK58),X0) != sK58 ) ),
inference(superposition,[status(thm)],[c_18462,c_226]) ).
tcf(c_26162,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ( app(sK12(sK56,nil),X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_18473,c_226]) ).
tcf(c_26163,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ( app(sK12(sK59,nil),X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_18472,c_226]) ).
tcf(c_26164,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,nil))
| ( app(sK12(sK58,nil),X0) != sK58 ) ),
inference(superposition,[status(thm)],[c_18471,c_226]) ).
tcf(c_26165,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_19638,c_226]) ).
tcf(c_26166,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_22375,c_226]) ).
tcf(c_26167,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_23497,c_226]) ).
tcf(c_26168,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_23496,c_226]) ).
tcf(c_26169,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_23495,c_226]) ).
tcf(c_26170,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_23493,c_226]) ).
tcf(c_26172,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(nil,X0) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26134,c_141]) ).
tcf(c_26176,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ( app(nil,X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26148,c_12995,c_141]) ).
tcf(c_26180,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(iPr_def_12,X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26147,c_12995,c_141]) ).
tcf(c_26184,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26146,c_18402,c_141]) ).
tcf(c_26188,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26145,c_12859,c_141]) ).
tcf(c_26192,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(sK58,X0) != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26144,c_9000,c_141]) ).
tcf(c_26196,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(sK59,X0) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26143,c_9003,c_141]) ).
tcf(c_26200,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(sK56,X0) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26142,c_9004,c_141]) ).
tcf(c_26204,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ( app(nil,X0) != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26141,c_9000,c_141]) ).
tcf(c_26208,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ( app(nil,X0) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26140,c_9003,c_141]) ).
tcf(c_26212,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ( app(nil,X0) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26139,c_9004,c_141]) ).
tcf(c_26216,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(nil,X0) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26138,c_18402,c_141]) ).
tcf(c_26220,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(nil,X0) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26137,c_12859,c_141]) ).
tcf(c_26224,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ( app(iPr_def_12,X0) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26136,c_12995,c_9003]) ).
tcf(c_26228,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(sK58,X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26135,c_12859,c_9000]) ).
tcf(c_26232,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_26165,c_9003]) ).
tcf(c_26237,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK12(sK58,nil))
| ( app(sK12(sK58,nil),X0) != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26164,c_141]) ).
tcf(c_26242,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ( app(sK12(sK59,nil),X0) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26163,c_141]) ).
tcf(c_26247,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ( app(sK12(sK56,nil),X0) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26162,c_141]) ).
tcf(c_26252,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ~ ssList(sK12(sK58,sK58))
| ( app(sK12(sK58,sK58),X0) != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26161,c_9000]) ).
tcf(c_26257,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(sK12(sK59,sK59))
| ( app(sK12(sK59,sK59),X0) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26160,c_9003]) ).
tcf(c_26262,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ~ ssList(sK12(sK56,sK56))
| ( app(sK12(sK56,sK56),X0) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26159,c_9004]) ).
tcf(c_26267,plain,
! [X0: $i] :
( ( sK11(sK58,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK58,sK58))
| ( app(sK58,X0) != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26158,c_9000]) ).
tcf(c_26272,plain,
! [X0: $i] :
( ( sK11(sK59,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK59,sK59))
| ( app(sK59,X0) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26157,c_9003]) ).
tcf(c_26277,plain,
! [X0: $i] :
( ( sK11(sK56,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK56,sK56))
| ( app(sK56,X0) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26156,c_9004]) ).
tcf(c_26282,plain,
! [X0: $i] :
( ( sK11(sK58,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK58,nil))
| ( app(nil,X0) != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26155,c_141]) ).
tcf(c_26287,plain,
! [X0: $i] :
( ( sK11(sK59,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ( app(nil,X0) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26154,c_141]) ).
tcf(c_26292,plain,
! [X0: $i] :
( ( sK11(sK56,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ( app(nil,X0) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26153,c_141]) ).
tcf(c_26297,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_26152,c_9000]) ).
tcf(c_26302,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_26166,c_141]) ).
tcf(c_26307,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_26151,c_141]) ).
tcf(c_26312,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_26150,c_141]) ).
tcf(c_26337,plain,
! [X0: $i] :
( ( sK8(sK58,sK57) = X0 )
| ( app(nil,sK8(sK59,sK57)) = sK8(sK59,sK57) )
| ~ ssList(X0)
| ~ ssList(sK8(sK58,sK57))
| ( app(nil,X0) != sK8(sK58,sK57) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26149,c_141]) ).
tcf(c_26374,plain,
! [X0: $i] :
( segmentP(app(nil,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,nil),X0)) ),
inference(superposition,[status(thm)],[c_377,c_67]) ).
tcf(c_26375,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_8988,c_67]) ).
tcf(c_26376,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_18427,c_67]) ).
tcf(c_26377,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_12892,c_67]) ).
tcf(c_26378,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_18400,c_67]) ).
tcf(c_26379,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_12690,c_67]) ).
tcf(c_26380,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_12691,c_67]) ).
tcf(c_26381,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_12692,c_67]) ).
tcf(c_26382,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_12785,c_67]) ).
tcf(c_26383,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_12786,c_67]) ).
tcf(c_26384,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_12787,c_67]) ).
tcf(c_26385,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_12891,c_67]) ).
tcf(c_26386,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_18401,c_67]) ).
tcf(c_26387,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_13022,c_67]) ).
tcf(c_26388,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_13023,c_67]) ).
tcf(c_26389,plain,
! [X0: $i] :
( segmentP(app(sK8(sK58,sK57),X0),sK8(sK58,sK57))
| ( app(nil,sK8(sK59,sK57)) = sK8(sK59,sK57) )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(sK58,sK57))
| ~ ssList(app(app(nil,sK8(sK58,sK57)),X0)) ),
inference(superposition,[status(thm)],[c_13504,c_67]) ).
tcf(c_26390,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_13355,c_67]) ).
tcf(c_26391,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_13354,c_67]) ).
tcf(c_26392,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_17914,c_67]) ).
tcf(c_26393,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_17911,c_67]) ).
tcf(c_26394,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_17910,c_67]) ).
tcf(c_26395,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_17909,c_67]) ).
tcf(c_26396,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_17903,c_67]) ).
tcf(c_26397,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_17902,c_67]) ).
tcf(c_26398,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_17901,c_67]) ).
tcf(c_26399,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_18464,c_67]) ).
tcf(c_26400,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_18463,c_67]) ).
tcf(c_26401,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_18462,c_67]) ).
tcf(c_26402,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_18473,c_67]) ).
tcf(c_26403,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_18472,c_67]) ).
tcf(c_26404,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_18471,c_67]) ).
tcf(c_26405,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_19638,c_67]) ).
tcf(c_26406,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_22375,c_67]) ).
tcf(c_26407,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_23497,c_67]) ).
tcf(c_26408,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_23496,c_67]) ).
tcf(c_26409,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_23495,c_67]) ).
tcf(c_26410,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_23493,c_67]) ).
tcf(c_26411,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_26412,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_26413,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_26414,plain,
! [X0: $i] :
( segmentP(app(nil,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(nil,X0)) ),
inference(light_normalisation,[status(thm)],[c_26374,c_377]) ).
tcf(c_26415,plain,
! [X0: $i] :
( segmentP(app(nil,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(nil,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26414,c_141]) ).
tcf(c_26419,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_26388,c_13023]) ).
tcf(c_26420,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_26419,c_12995,c_141]) ).
tcf(c_26424,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_26387,c_13022]) ).
tcf(c_26425,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_26424,c_12995,c_141]) ).
tcf(c_26429,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_26386,c_18401]) ).
tcf(c_26430,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_26429,c_18402,c_141]) ).
tcf(c_26434,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_26385,c_12891]) ).
tcf(c_26435,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_26434,c_12859,c_141]) ).
tcf(c_26439,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),nil)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK58,X0)) ),
inference(light_normalisation,[status(thm)],[c_26384,c_12787]) ).
tcf(c_26440,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(sK58,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26439,c_9000,c_141]) ).
tcf(c_26444,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),nil)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK59,X0)) ),
inference(light_normalisation,[status(thm)],[c_26383,c_12786]) ).
tcf(c_26445,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(sK59,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26444,c_9003,c_141]) ).
tcf(c_26449,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),nil)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK56,X0)) ),
inference(light_normalisation,[status(thm)],[c_26382,c_12785]) ).
tcf(c_26450,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(sK56,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26449,c_9004,c_141]) ).
tcf(c_26454,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK58)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK58,X0)) ),
inference(light_normalisation,[status(thm)],[c_26381,c_12692]) ).
tcf(c_26455,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK58)
| ~ ssList(X0)
| ~ ssList(app(sK58,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26454,c_9000,c_141]) ).
tcf(c_26459,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK59)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK59,X0)) ),
inference(light_normalisation,[status(thm)],[c_26380,c_12691]) ).
tcf(c_26460,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK59)
| ~ ssList(X0)
| ~ ssList(app(sK59,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26459,c_9003,c_141]) ).
tcf(c_26464,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK56)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK56,X0)) ),
inference(light_normalisation,[status(thm)],[c_26379,c_12690]) ).
tcf(c_26465,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK56)
| ~ ssList(X0)
| ~ ssList(app(sK56,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26464,c_9004,c_141]) ).
tcf(c_26469,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_26378,c_18400]) ).
tcf(c_26470,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_26469,c_18402,c_141]) ).
tcf(c_26474,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_26377,c_12892]) ).
tcf(c_26475,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_26474,c_12859,c_141]) ).
tcf(c_26479,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_26376,c_18427]) ).
tcf(c_26480,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_26479,c_12995,c_9003]) ).
tcf(c_26484,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_26375,c_8988]) ).
tcf(c_26485,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_26484,c_12859,c_9000]) ).
tcf(c_26489,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_26405,c_19638]) ).
tcf(c_26490,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_26489,c_9003]) ).
tcf(c_26495,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_26404,c_18471]) ).
tcf(c_26496,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_26495,c_141]) ).
tcf(c_26501,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_26403,c_18472]) ).
tcf(c_26502,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_26501,c_141]) ).
tcf(c_26507,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_26402,c_18473]) ).
tcf(c_26508,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_26507,c_141]) ).
tcf(c_26513,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_26401,c_18462]) ).
tcf(c_26514,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_26513,c_9000]) ).
tcf(c_26519,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_26400,c_18463]) ).
tcf(c_26520,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_26519,c_9003]) ).
tcf(c_26525,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_26399,c_18464]) ).
tcf(c_26526,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_26525,c_9004]) ).
tcf(c_26531,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_26398,c_17901]) ).
tcf(c_26532,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_26531,c_9000]) ).
tcf(c_26537,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_26397,c_17902]) ).
tcf(c_26538,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_26537,c_9003]) ).
tcf(c_26543,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_26396,c_17903]) ).
tcf(c_26544,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_26543,c_9004]) ).
tcf(c_26549,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_26395,c_17909]) ).
tcf(c_26550,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_26549,c_141]) ).
tcf(c_26555,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_26394,c_17910]) ).
tcf(c_26556,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_26555,c_141]) ).
tcf(c_26561,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_26393,c_17911]) ).
tcf(c_26562,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_26561,c_141]) ).
tcf(c_26567,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_26392,c_17914]) ).
tcf(c_26568,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_26567,c_9000]) ).
tcf(c_26573,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_26406,c_22375]) ).
tcf(c_26574,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_26573,c_141]) ).
tcf(c_26579,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_26391,c_13354]) ).
tcf(c_26580,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_26579,c_141]) ).
tcf(c_26585,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_26390,c_13355]) ).
tcf(c_26586,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_26585,c_141]) ).
tcf(c_26604,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_26410,c_23493]) ).
tcf(c_26610,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_26409,c_23495]) ).
tcf(c_26616,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_26408,c_23496]) ).
tcf(c_26622,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_26407,c_23497]) ).
tcf(c_26628,plain,
! [X0: $i] :
( segmentP(app(sK8(sK58,sK57),X0),sK8(sK58,sK57))
| ( app(nil,sK8(sK59,sK57)) = sK8(sK59,sK57) )
| ~ ssList(X0)
| ~ ssList(sK8(sK58,sK57))
| ~ ssList(app(app(nil,sK8(sK58,sK57)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26389,c_141]) ).
tcf(c_26792,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_26794,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_8987,c_179]) ).
tcf(c_26795,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_8986,c_179]) ).
tcf(c_26796,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_15611,c_179]) ).
tcf(c_26797,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_15612,c_179]) ).
tcf(c_26798,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_15613,c_179]) ).
tcf(c_26799,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_16390,c_179]) ).
tcf(c_26800,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_16391,c_179]) ).
tcf(c_26801,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_16392,c_179]) ).
tcf(c_26802,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_17164,c_179]) ).
tcf(c_26803,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_8987,c_179]) ).
tcf(c_26804,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_8986,c_179]) ).
tcf(c_26805,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_15611,c_179]) ).
tcf(c_26806,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_15612,c_179]) ).
tcf(c_26807,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_15613,c_179]) ).
tcf(c_26808,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_16390,c_179]) ).
tcf(c_26809,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_16391,c_179]) ).
tcf(c_26810,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_16392,c_179]) ).
tcf(c_26811,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_17164,c_179]) ).
tcf(c_26816,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_26804,c_141,c_18410]) ).
tcf(c_26821,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_26803,c_141,c_8999]) ).
tcf(c_26826,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_26795,c_141,c_18410]) ).
tcf(c_26831,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_26794,c_141,c_8999]) ).
tcf(c_26836,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_26811,c_141]) ).
tcf(c_26842,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_26802,c_141]) ).
tcf(c_26956,plain,
! [X0: $i,X1: $i] :
( segmentP(app(nil,X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_377,c_193]) ).
tcf(c_26957,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_8988,c_193]) ).
tcf(c_26958,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_18427,c_193]) ).
tcf(c_26959,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_12892,c_193]) ).
tcf(c_26960,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_18400,c_193]) ).
tcf(c_26961,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_12690,c_193]) ).
tcf(c_26962,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_12691,c_193]) ).
tcf(c_26963,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_12692,c_193]) ).
tcf(c_26964,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_12785,c_193]) ).
tcf(c_26965,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_12786,c_193]) ).
tcf(c_26966,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_12787,c_193]) ).
tcf(c_26967,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_12891,c_193]) ).
tcf(c_26968,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_18401,c_193]) ).
tcf(c_26969,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_13022,c_193]) ).
tcf(c_26970,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_13023,c_193]) ).
tcf(c_26971,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK8(sK58,sK57),X1),X0)
| ( app(nil,sK8(sK59,sK57)) = sK8(sK59,sK57) )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(sK58,sK57))
| ~ segmentP(sK8(sK58,sK57),X0) ),
inference(superposition,[status(thm)],[c_13504,c_193]) ).
tcf(c_26972,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_13355,c_193]) ).
tcf(c_26973,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_13354,c_193]) ).
tcf(c_26974,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_17914,c_193]) ).
tcf(c_26975,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_17911,c_193]) ).
tcf(c_26976,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_17910,c_193]) ).
tcf(c_26977,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_17909,c_193]) ).
tcf(c_26978,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_17903,c_193]) ).
tcf(c_26979,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_17902,c_193]) ).
tcf(c_26980,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_17901,c_193]) ).
tcf(c_26981,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_18464,c_193]) ).
tcf(c_26982,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_18463,c_193]) ).
tcf(c_26983,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_18462,c_193]) ).
tcf(c_26984,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_18473,c_193]) ).
tcf(c_26985,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_18472,c_193]) ).
tcf(c_26986,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_18471,c_193]) ).
tcf(c_26987,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_19638,c_193]) ).
tcf(c_26988,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_22375,c_193]) ).
tcf(c_26989,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_23497,c_193]) ).
tcf(c_26990,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_23496,c_193]) ).
tcf(c_26991,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_23495,c_193]) ).
tcf(c_26992,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_23493,c_193]) ).
tcf(c_26993,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_26994,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_26995,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_26996,plain,
! [X0: $i,X1: $i] :
( segmentP(app(nil,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26956,c_141]) ).
tcf(c_27001,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_26970,c_12995,c_141]) ).
tcf(c_27006,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_26969,c_12995,c_141]) ).
tcf(c_27011,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_26968,c_18402,c_141]) ).
tcf(c_27016,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_26967,c_12859,c_141]) ).
tcf(c_27021,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK58,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26966,c_9000,c_141]) ).
tcf(c_27026,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26965,c_9003,c_141]) ).
tcf(c_27031,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26964,c_9004,c_141]) ).
tcf(c_27036,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK58,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26963,c_9000,c_141]) ).
tcf(c_27041,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26962,c_9003,c_141]) ).
tcf(c_27046,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26961,c_9004,c_141]) ).
tcf(c_27051,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_26960,c_18402,c_141]) ).
tcf(c_27056,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_26959,c_12859,c_141]) ).
tcf(c_27061,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_26958,c_12995,c_9003]) ).
tcf(c_27066,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_26957,c_12859,c_9000]) ).
tcf(c_27078,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_26980,c_9000]) ).
tcf(c_27084,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_26979,c_9003]) ).
tcf(c_27090,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_26978,c_9004]) ).
tcf(c_27096,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_26977,c_141]) ).
tcf(c_27102,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_26976,c_141]) ).
tcf(c_27108,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_26975,c_141]) ).
tcf(c_27114,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_26974,c_9000]) ).
tcf(c_27120,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_26988,c_141]) ).
tcf(c_27126,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_26973,c_141]) ).
tcf(c_27132,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_26972,c_141]) ).
tcf(c_27171,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK8(sK58,sK57),X1),X0)
| ( app(nil,sK8(sK59,sK57)) = sK8(sK59,sK57) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(sK58,sK57))
| ~ segmentP(sK8(sK58,sK57),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26971,c_141]) ).
tcf(c_27333,plain,
ssList(tl(iPr_def_10)),
inference(global_subsumption_just,[status(thm)],[c_18778,c_13897,c_18410,c_18778]) ).
tcf(c_27335,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_27333,c_228]) ).
tcf(c_27336,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_27333,c_124]) ).
tcf(c_27337,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_27333,c_116]) ).
tcf(c_27338,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_27333,c_108]) ).
tcf(c_27339,plain,
( ( nil = sK58 )
| ( hd(app(sK58,tl(iPr_def_10))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_27333,c_19350]) ).
tcf(c_27340,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_27333,c_234]) ).
tcf(c_27341,plain,
( ( nil = sK59 )
| ( hd(app(sK59,tl(iPr_def_10))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_27333,c_19349]) ).
tcf(c_27342,plain,
( ( nil = sK56 )
| ( hd(app(sK56,tl(iPr_def_10))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_27333,c_19348]) ).
tcf(c_27343,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_27333,c_132]) ).
tcf(c_27344,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_27333,c_233]) ).
tcf(c_27345,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_27333,c_224]) ).
tcf(c_27346,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_27333,c_147]) ).
tcf(c_27347,plain,
tl(cons(sK57,tl(iPr_def_10))) = tl(iPr_def_10),
inference(superposition,[status(thm)],[c_27333,c_14117]) ).
tcf(c_27348,plain,
hd(cons(sK57,tl(iPr_def_10))) = sK57,
inference(superposition,[status(thm)],[c_27333,c_13943]) ).
tcf(c_27349,plain,
( ( tl(iPr_def_10) = nil )
| ( tl(tl(iPr_def_10)) = sK52(tl(iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_27333,c_222]) ).
tcf(c_27350,plain,
( ( tl(iPr_def_10) = nil )
| ( hd(tl(iPr_def_10)) = sK51(tl(iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_27333,c_220]) ).
tcf(c_27351,plain,
( duplicatefreeP(tl(iPr_def_10))
| ( sK40(tl(iPr_def_10)) = sK41(tl(iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_27333,c_123]) ).
tcf(c_27352,plain,
app(tl(iPr_def_10),nil) = tl(iPr_def_10),
inference(superposition,[status(thm)],[c_27333,c_232]) ).
tcf(c_27353,plain,
app(nil,tl(iPr_def_10)) = tl(iPr_def_10),
inference(superposition,[status(thm)],[c_27333,c_155]) ).
tcf(c_27564,plain,
( segmentP(iPr_def_12,sK58)
| ~ ssList(iPr_def_11)
| ~ ssList(app(sK58,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_8988,c_26455]) ).
tcf(c_27565,plain,
( segmentP(sK58,sK58)
| ~ ssList(nil)
| ~ ssList(app(sK58,nil)) ),
inference(superposition,[status(thm)],[c_12787,c_26455]) ).
tcf(c_27568,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_26455,c_70]) ).
tcf(c_27569,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_26455,c_190]) ).
tcf(c_27570,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_26455,c_191]) ).
tcf(c_27571,plain,
( segmentP(sK58,sK58)
| ~ ssList(sK58)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_27565,c_12787]) ).
tcf(c_27572,plain,
segmentP(sK58,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_27571,c_9000,c_141]) ).
tcf(c_27573,plain,
( segmentP(iPr_def_12,sK58)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_27564,c_8988]) ).
tcf(c_27574,plain,
segmentP(iPr_def_12,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_27573,c_12995,c_12859]) ).
tcf(c_27575,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_27570,c_9000]) ).
tcf(c_27580,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_27569,c_9000]) ).
tcf(c_27586,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_27568,c_9000]) ).
tcf(c_27591,plain,
( ( app(app(sK13(sK58,sK58),sK58),sK14(sK58,sK58)) = sK58 )
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_27572,c_70]) ).
tcf(c_27594,plain,
app(app(sK13(sK58,sK58),sK58),sK14(sK58,sK58)) = sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_27591,c_9000]) ).
tcf(c_27595,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_27594,c_67]) ).
tcf(c_27598,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_27594,c_167]) ).
tcf(c_27599,plain,
( ( app(sK13(sK58,sK58),sK58) = nil )
| ~ ssList(sK14(sK58,sK58))
| ~ ssList(app(sK13(sK58,sK58),sK58))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_27594,c_231]) ).
tcf(c_27600,plain,
( ( sK14(sK58,sK58) = nil )
| ~ ssList(sK14(sK58,sK58))
| ~ ssList(app(sK13(sK58,sK58),sK58))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_27594,c_230]) ).
tcf(c_27601,plain,
( frontsegP(sK58,app(sK13(sK58,sK58),sK58))
| ~ ssList(sK14(sK58,sK58))
| ~ ssList(app(sK13(sK58,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_27594,c_386]) ).
tcf(c_27602,plain,
( rearsegP(sK58,sK14(sK58,sK58))
| ~ ssList(sK14(sK58,sK58))
| ~ ssList(app(sK13(sK58,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_27594,c_383]) ).
tcf(c_27604,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_27594,c_225]) ).
tcf(c_27606,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_27594,c_226]) ).
tcf(c_27607,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_27594,c_176]) ).
tcf(c_27608,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_27594,c_165]) ).
tcf(c_27609,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_27594,c_193]) ).
tcf(c_27610,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_27594,c_186]) ).
tcf(c_27611,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_27594,c_166]) ).
tcf(c_27669,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_27595,c_27594]) ).
tcf(c_27688,plain,
( segmentP(sK59,sK59)
| ~ ssList(nil)
| ~ ssList(app(sK59,nil)) ),
inference(superposition,[status(thm)],[c_12786,c_26460]) ).
tcf(c_27690,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_26460,c_70]) ).
tcf(c_27691,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_26460,c_190]) ).
tcf(c_27692,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_26460,c_191]) ).
tcf(c_27693,plain,
( segmentP(sK59,sK59)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_27688,c_12786]) ).
tcf(c_27694,plain,
segmentP(sK59,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_27693,c_9003,c_141]) ).
tcf(c_27695,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_27692,c_9003]) ).
tcf(c_27700,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_27691,c_9003]) ).
tcf(c_27706,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_27690,c_9003]) ).
tcf(c_27711,plain,
( ( app(app(sK13(sK59,sK59),sK59),sK14(sK59,sK59)) = sK59 )
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_27694,c_70]) ).
tcf(c_27714,plain,
app(app(sK13(sK59,sK59),sK59),sK14(sK59,sK59)) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_27711,c_9003]) ).
tcf(c_27730,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_8987,c_178]) ).
tcf(c_27731,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_8986,c_178]) ).
tcf(c_27732,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_15611,c_178]) ).
tcf(c_27733,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_15612,c_178]) ).
tcf(c_27734,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_15613,c_178]) ).
tcf(c_27735,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_16390,c_178]) ).
tcf(c_27736,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_16391,c_178]) ).
tcf(c_27737,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_16392,c_178]) ).
tcf(c_27738,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_17164,c_178]) ).
tcf(c_27739,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_8987,c_178]) ).
tcf(c_27740,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_8986,c_178]) ).
tcf(c_27741,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_15611,c_178]) ).
tcf(c_27742,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_15612,c_178]) ).
tcf(c_27743,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_15613,c_178]) ).
tcf(c_27744,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_16390,c_178]) ).
tcf(c_27745,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_16391,c_178]) ).
tcf(c_27746,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_16392,c_178]) ).
tcf(c_27747,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_17164,c_178]) ).
tcf(c_27748,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_27740,c_141,c_18410]) ).
tcf(c_27753,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_27739,c_141,c_8999]) ).
tcf(c_27758,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_27731,c_141,c_18410]) ).
tcf(c_27763,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_27730,c_141,c_8999]) ).
tcf(c_27768,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_27747,c_141]) ).
tcf(c_27774,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_27738,c_141]) ).
tcf(c_27903,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_8987,c_143]) ).
tcf(c_27904,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_8986,c_143]) ).
tcf(c_27905,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_15611,c_143]) ).
tcf(c_27906,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_15612,c_143]) ).
tcf(c_27907,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_15613,c_143]) ).
tcf(c_27908,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_16390,c_143]) ).
tcf(c_27909,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_16391,c_143]) ).
tcf(c_27910,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_16392,c_143]) ).
tcf(c_27911,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_17164,c_143]) ).
tcf(c_27913,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK60 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27904,c_141,c_18410]) ).
tcf(c_27918,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27903,c_141,c_8999]) ).
tcf(c_27923,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_27911,c_141]) ).
tcf(c_28001,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_8987,c_144]) ).
tcf(c_28002,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_8986,c_144]) ).
tcf(c_28003,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_15611,c_144]) ).
tcf(c_28004,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_15612,c_144]) ).
tcf(c_28005,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_15613,c_144]) ).
tcf(c_28006,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_16390,c_144]) ).
tcf(c_28007,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_16391,c_144]) ).
tcf(c_28008,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_16392,c_144]) ).
tcf(c_28009,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_17164,c_144]) ).
tcf(c_28011,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28002,c_141,c_18410]) ).
tcf(c_28016,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28001,c_141,c_8999]) ).
tcf(c_28021,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_28009,c_141]) ).
tcf(c_28328,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_27574,c_70]) ).
tcf(c_28329,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_27574,c_190]) ).
tcf(c_28330,plain,
( ( sK58 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK58)
| ~ segmentP(sK58,iPr_def_12) ),
inference(superposition,[status(thm)],[c_27574,c_191]) ).
tcf(c_28331,plain,
( ( sK58 = iPr_def_12 )
| ~ segmentP(sK58,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28330,c_12995,c_9000]) ).
tcf(c_28334,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28329,c_12995,c_9000]) ).
tcf(c_28338,plain,
app(app(sK13(iPr_def_12,sK58),sK58),sK14(iPr_def_12,sK58)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_28328,c_12995,c_9000]) ).
tcf(c_28341,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_15620,c_54]) ).
tcf(c_28345,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_15620,c_178]) ).
tcf(c_28346,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_15620,c_179]) ).
tcf(c_28347,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_15620,c_144]) ).
tcf(c_28348,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_15620,c_143]) ).
tcf(c_28349,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_15620,c_178]) ).
tcf(c_28350,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_15620,c_179]) ).
tcf(c_28351,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_15620,c_170]) ).
tcf(c_28352,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_15620,c_214]) ).
tcf(c_28353,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_15620,c_208]) ).
tcf(c_28354,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_15620,c_213]) ).
tcf(c_28355,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_15620,c_207]) ).
tcf(c_28357,plain,
( ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ( sK49(iPr_def_11) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_15620,c_142]) ).
tcf(c_28358,plain,
( memberP(iPr_def_11,sK50(iPr_def_11))
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_15620,c_168]) ).
tcf(c_28360,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_15620,c_177]) ).
tcf(c_28361,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_15620,c_169]) ).
tcf(c_28362,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_15620,c_177]) ).
tcf(c_28374,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_28355,c_12281]) ).
tcf(c_28379,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_28354,c_12295]) ).
tcf(c_28394,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_28353,c_12281]) ).
tcf(c_28399,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_28352,c_12295]) ).
tcf(c_28446,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_28341,c_15620]) ).
tcf(c_28592,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_17899,c_67]) ).
tcf(c_28599,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_17899,c_383]) ).
tcf(c_28601,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_17899,c_225]) ).
tcf(c_28602,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_17899,c_226]) ).
tcf(c_28605,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_17899,c_193]) ).
tcf(c_28606,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_17899,c_186]) ).
tcf(c_28607,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_17899,c_166]) ).
tcf(c_28608,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_28599,c_12995]) ).
tcf(c_28611,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_28607,c_12995]) ).
tcf(c_28616,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_28606,c_12995]) ).
tcf(c_28621,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_28602,c_12995]) ).
tcf(c_28626,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_28601,c_12995]) ).
tcf(c_28631,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_28605,c_12995]) ).
tcf(c_28637,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_28592,c_17899]) ).
tcf(c_28638,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_28637,c_12995]) ).
tcf(c_28648,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_17900,c_67]) ).
tcf(c_28655,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_17900,c_383]) ).
tcf(c_28657,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_17900,c_225]) ).
tcf(c_28658,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_17900,c_226]) ).
tcf(c_28661,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_17900,c_193]) ).
tcf(c_28662,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_17900,c_186]) ).
tcf(c_28663,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_17900,c_166]) ).
tcf(c_28664,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_28655,c_12859]) ).
tcf(c_28667,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_28663,c_12859]) ).
tcf(c_28672,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_28662,c_12859]) ).
tcf(c_28677,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_28658,c_12859]) ).
tcf(c_28682,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_28657,c_12859]) ).
tcf(c_28687,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_28661,c_12859]) ).
tcf(c_28693,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_28648,c_17900]) ).
tcf(c_28694,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_28693,c_12859]) ).
tcf(c_28715,plain,
( segmentP(iPr_def_12,nil)
| ~ ssList(sK58)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_194,c_28334]) ).
tcf(c_28717,plain,
segmentP(iPr_def_12,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_28715,c_9000,c_141]) ).
tcf(c_28718,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_28717,c_70]) ).
tcf(c_28719,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_28717,c_190]) ).
tcf(c_28720,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ segmentP(nil,iPr_def_12) ),
inference(superposition,[status(thm)],[c_28717,c_191]) ).
tcf(c_28721,plain,
~ segmentP(nil,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_28720,c_17779,c_12995,c_141]) ).
tcf(c_28722,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28719,c_12995,c_141]) ).
tcf(c_28726,plain,
app(app(sK13(iPr_def_12,nil),nil),sK14(iPr_def_12,nil)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_28718,c_12995,c_141]) ).
tcf(c_28727,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_27714,c_67]) ).
tcf(c_28730,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_27714,c_167]) ).
tcf(c_28731,plain,
( ( app(sK13(sK59,sK59),sK59) = nil )
| ~ ssList(sK14(sK59,sK59))
| ~ ssList(app(sK13(sK59,sK59),sK59))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_27714,c_231]) ).
tcf(c_28732,plain,
( ( sK14(sK59,sK59) = nil )
| ~ ssList(sK14(sK59,sK59))
| ~ ssList(app(sK13(sK59,sK59),sK59))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_27714,c_230]) ).
tcf(c_28733,plain,
( frontsegP(sK59,app(sK13(sK59,sK59),sK59))
| ~ ssList(sK14(sK59,sK59))
| ~ ssList(app(sK13(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_27714,c_386]) ).
tcf(c_28734,plain,
( rearsegP(sK59,sK14(sK59,sK59))
| ~ ssList(sK14(sK59,sK59))
| ~ ssList(app(sK13(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_27714,c_383]) ).
tcf(c_28736,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_27714,c_225]) ).
tcf(c_28738,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_27714,c_226]) ).
tcf(c_28739,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_27714,c_176]) ).
tcf(c_28740,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_27714,c_165]) ).
tcf(c_28741,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_27714,c_193]) ).
tcf(c_28742,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_27714,c_186]) ).
tcf(c_28743,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_27714,c_166]) ).
tcf(c_28801,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_28727,c_27714]) ).
tcf(c_28832,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_28338,c_67]) ).
tcf(c_28835,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_28338,c_167]) ).
tcf(c_28838,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_28338,c_386]) ).
tcf(c_28839,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_28338,c_383]) ).
tcf(c_28841,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_28338,c_225]) ).
tcf(c_28843,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_28338,c_226]) ).
tcf(c_28844,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_28338,c_176]) ).
tcf(c_28845,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_28338,c_165]) ).
tcf(c_28846,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_28338,c_193]) ).
tcf(c_28847,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_28338,c_186]) ).
tcf(c_28848,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_28338,c_166]) ).
tcf(c_28849,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_28338,c_193]) ).
tcf(c_28899,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_28832,c_28338]) ).
tcf(c_28936,plain,
( segmentP(sK56,sK56)
| ~ ssList(nil)
| ~ ssList(app(sK56,nil)) ),
inference(superposition,[status(thm)],[c_12785,c_26465]) ).
tcf(c_28938,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_26465,c_70]) ).
tcf(c_28939,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_26465,c_190]) ).
tcf(c_28940,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_26465,c_191]) ).
tcf(c_28941,plain,
( segmentP(sK56,sK56)
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_28936,c_12785]) ).
tcf(c_28942,plain,
segmentP(sK56,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_28941,c_9004,c_141]) ).
tcf(c_28943,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_28940,c_9004]) ).
tcf(c_28948,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_28939,c_9004]) ).
tcf(c_28954,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_28938,c_9004]) ).
tcf(c_28959,plain,
( ( app(app(sK13(sK56,sK56),sK56),sK14(sK56,sK56)) = sK56 )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_28942,c_70]) ).
tcf(c_28962,plain,
app(app(sK13(sK56,sK56),sK56),sK14(sK56,sK56)) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_28959,c_9004]) ).
tcf(c_28968,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_28962,c_67]) ).
tcf(c_28971,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_28962,c_167]) ).
tcf(c_28972,plain,
( ( app(sK13(sK56,sK56),sK56) = nil )
| ~ ssList(sK14(sK56,sK56))
| ~ ssList(app(sK13(sK56,sK56),sK56))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_28962,c_231]) ).
tcf(c_28973,plain,
( ( sK14(sK56,sK56) = nil )
| ~ ssList(sK14(sK56,sK56))
| ~ ssList(app(sK13(sK56,sK56),sK56))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_28962,c_230]) ).
tcf(c_28974,plain,
( frontsegP(sK56,app(sK13(sK56,sK56),sK56))
| ~ ssList(sK14(sK56,sK56))
| ~ ssList(app(sK13(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_28962,c_386]) ).
tcf(c_28975,plain,
( rearsegP(sK56,sK14(sK56,sK56))
| ~ ssList(sK14(sK56,sK56))
| ~ ssList(app(sK13(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_28962,c_383]) ).
tcf(c_28977,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_28962,c_225]) ).
tcf(c_28979,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_28962,c_226]) ).
tcf(c_28980,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_28962,c_176]) ).
tcf(c_28981,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_28962,c_165]) ).
tcf(c_28982,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_28962,c_193]) ).
tcf(c_28983,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_28962,c_186]) ).
tcf(c_28984,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_28962,c_166]) ).
tcf(c_29042,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_28968,c_28962]) ).
tcf(c_29463,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_14796,c_223]) ).
tcf(c_29464,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_14787,c_223]) ).
tcf(c_29465,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_14788,c_223]) ).
tcf(c_29466,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_14789,c_223]) ).
tcf(c_29467,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_14791,c_223]) ).
tcf(c_29468,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_14792,c_223]) ).
tcf(c_29469,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_18642,c_223]) ).
tcf(c_29470,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_16042,c_223]) ).
tcf(c_29471,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_16043,c_223]) ).
tcf(c_29472,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_16044,c_223]) ).
tcf(c_29473,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_20660,c_223]) ).
tcf(c_29474,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_20661,c_223]) ).
tcf(c_29475,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_20662,c_223]) ).
tcf(c_29476,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_21578,c_223]) ).
tcf(c_29477,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_21579,c_223]) ).
tcf(c_29478,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_21580,c_223]) ).
tcf(c_29479,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_22452,c_223]) ).
tcf(c_29480,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_22453,c_223]) ).
tcf(c_29481,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_22454,c_223]) ).
tcf(c_29483,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_29463,c_14968]) ).
tcf(c_29484,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ( X0 = nil )
| ~ ssList(X0)
| ( tl(X0) != nil )
| ( hd(X0) != sK57 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29483,c_13900,c_12859]) ).
tcf(c_29490,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_29469,c_18641]) ).
tcf(c_29498,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_29468,c_14964]) ).
tcf(c_29506,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_29467,c_14963]) ).
tcf(c_29514,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_29466,c_14961]) ).
tcf(c_29522,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_29465,c_14960]) ).
tcf(c_29530,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_29464,c_14959]) ).
tcf(c_30045,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_30046,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_23497,c_130]) ).
tcf(c_30047,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_23496,c_130]) ).
tcf(c_30048,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_23495,c_130]) ).
tcf(c_30049,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_23493,c_130]) ).
tcf(c_30050,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_8987,c_130]) ).
tcf(c_30051,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_8986,c_130]) ).
tcf(c_30052,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_15611,c_130]) ).
tcf(c_30053,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_15612,c_130]) ).
tcf(c_30054,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_15613,c_130]) ).
tcf(c_30055,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_15620,c_130]) ).
tcf(c_30056,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_16390,c_130]) ).
tcf(c_30057,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_16391,c_130]) ).
tcf(c_30058,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_16392,c_130]) ).
tcf(c_30059,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_17164,c_130]) ).
tcf(c_30060,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_8987,c_130]) ).
tcf(c_30061,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_8986,c_130]) ).
tcf(c_30062,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_15611,c_130]) ).
tcf(c_30063,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_15612,c_130]) ).
tcf(c_30064,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_15613,c_130]) ).
tcf(c_30065,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_15620,c_130]) ).
tcf(c_30066,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_16390,c_130]) ).
tcf(c_30067,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_16391,c_130]) ).
tcf(c_30068,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_16392,c_130]) ).
tcf(c_30069,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_17164,c_130]) ).
tcf(c_30070,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_30061,c_8986]) ).
tcf(c_30071,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_30070,c_141,c_18410]) ).
tcf(c_30076,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_30060,c_8987]) ).
tcf(c_30077,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_30076,c_141,c_8999]) ).
tcf(c_30082,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_30051,c_8986]) ).
tcf(c_30083,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_30082,c_141,c_18410]) ).
tcf(c_30088,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_30050,c_8987]) ).
tcf(c_30089,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_30088,c_141,c_8999]) ).
tcf(c_30101,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_30069,c_17164]) ).
tcf(c_30102,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_30101,c_141]) ).
tcf(c_30108,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_30059,c_17164]) ).
tcf(c_30109,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_30108,c_141]) ).
tcf(c_30115,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_30065,c_15620]) ).
tcf(c_30122,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_30055,c_15620]) ).
tcf(c_30129,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_30049,c_23493]) ).
tcf(c_30130,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_30129,c_8999]) ).
tcf(c_30136,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_30048,c_23495]) ).
tcf(c_30137,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_30136,c_8999]) ).
tcf(c_30143,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_30047,c_23496]) ).
tcf(c_30144,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_30143,c_8999]) ).
tcf(c_30150,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_30046,c_23497]) ).
tcf(c_30151,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_30150,c_18410]) ).
tcf(c_30524,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_17905,c_67]) ).
tcf(c_30529,plain,
( ( sK11(nil,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_17905,c_230]) ).
tcf(c_30531,plain,
( rearsegP(nil,sK11(nil,nil))
| ~ ssList(nil)
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_17905,c_383]) ).
tcf(c_30533,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ( app(X0,sK11(nil,nil)) != nil ) ),
inference(superposition,[status(thm)],[c_17905,c_225]) ).
tcf(c_30534,plain,
! [X0: $i] :
( ( sK11(nil,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ( app(nil,X0) != nil ) ),
inference(superposition,[status(thm)],[c_17905,c_226]) ).
tcf(c_30537,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_17905,c_193]) ).
tcf(c_30538,plain,
! [X0: $i] :
( rearsegP(nil,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),X0) ),
inference(superposition,[status(thm)],[c_17905,c_186]) ).
tcf(c_30539,plain,
! [X0: $i] :
( memberP(nil,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK11(nil,nil))
| ~ memberP(sK11(nil,nil),X0) ),
inference(superposition,[status(thm)],[c_17905,c_166]) ).
tcf(c_30540,plain,
( rearsegP(nil,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30531,c_141]) ).
tcf(c_30543,plain,
( ( sK11(nil,nil) = nil )
| ~ ssList(sK11(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30529,c_141]) ).
tcf(c_30546,plain,
! [X0: $i] :
( memberP(nil,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(nil,nil))
| ~ memberP(sK11(nil,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30539,c_141]) ).
tcf(c_30551,plain,
! [X0: $i] :
( rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30538,c_141]) ).
tcf(c_30556,plain,
! [X0: $i] :
( ( sK11(nil,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ( app(nil,X0) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30534,c_141]) ).
tcf(c_30561,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ( app(X0,sK11(nil,nil)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30533,c_141]) ).
tcf(c_30566,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_30537,c_141]) ).
tcf(c_30572,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_30524,c_17905]) ).
tcf(c_30573,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_30572,c_141]) ).
tcf(c_30581,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_17908,c_67]) ).
tcf(c_30584,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_17908,c_167]) ).
tcf(c_30588,plain,
( rearsegP(iPr_def_12,sK11(iPr_def_12,nil))
| ~ ssList(nil)
| ~ ssList(sK11(iPr_def_12,nil)) ),
inference(superposition,[status(thm)],[c_17908,c_383]) ).
tcf(c_30590,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_17908,c_225]) ).
tcf(c_30591,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_17908,c_226]) ).
tcf(c_30592,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_17908,c_176]) ).
tcf(c_30594,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_17908,c_193]) ).
tcf(c_30595,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_17908,c_186]) ).
tcf(c_30596,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_17908,c_166]) ).
tcf(c_30597,plain,
( rearsegP(iPr_def_12,sK11(iPr_def_12,nil))
| ~ ssList(sK11(iPr_def_12,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30588,c_141]) ).
tcf(c_30601,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_30596,c_141]) ).
tcf(c_30606,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_30595,c_141]) ).
tcf(c_30611,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_30584,c_141]) ).
tcf(c_30617,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_30591,c_141]) ).
tcf(c_30622,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_30590,c_141]) ).
tcf(c_30627,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_30594,c_141]) ).
tcf(c_30633,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_30581,c_17908]) ).
tcf(c_30634,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_30633,c_141]) ).
tcf(c_30650,plain,
( segmentP(iPr_def_10,sK59)
| ~ ssList(nil)
| ~ ssList(app(iPr_def_10,nil)) ),
inference(superposition,[status(thm)],[c_18401,c_26480]) ).
tcf(c_30651,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_26480,c_70]) ).
tcf(c_30652,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_26480,c_190]) ).
tcf(c_30653,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_26480,c_191]) ).
tcf(c_30654,plain,
( segmentP(iPr_def_10,sK59)
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_30650,c_18401]) ).
tcf(c_30655,plain,
segmentP(iPr_def_10,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_30654,c_18402,c_141]) ).
tcf(c_30656,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_30653,c_9003]) ).
tcf(c_30661,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_30652,c_9003]) ).
tcf(c_30667,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_30651,c_9003]) ).
tcf(c_30686,plain,
( segmentP(iPr_def_10,iPr_def_11)
| ~ ssList(sK59)
| ~ ssList(app(iPr_def_12,sK59)) ),
inference(superposition,[status(thm)],[c_18427,c_26485]) ).
tcf(c_30687,plain,
( segmentP(iPr_def_12,iPr_def_11)
| ~ ssList(nil)
| ~ ssList(app(iPr_def_12,nil)) ),
inference(superposition,[status(thm)],[c_13022,c_26485]) ).
tcf(c_30689,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_26485,c_70]) ).
tcf(c_30690,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_26485,c_190]) ).
tcf(c_30691,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_26485,c_191]) ).
tcf(c_30692,plain,
( segmentP(iPr_def_12,iPr_def_11)
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_30687,c_13022]) ).
tcf(c_30693,plain,
segmentP(iPr_def_12,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_30692,c_12995,c_141]) ).
tcf(c_30694,plain,
( segmentP(iPr_def_10,iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59) ),
inference(light_normalisation,[status(thm)],[c_30686,c_18427]) ).
tcf(c_30695,plain,
segmentP(iPr_def_10,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_30694,c_18402,c_9003]) ).
tcf(c_30696,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_30691,c_12859]) ).
tcf(c_30701,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_30690,c_12859]) ).
tcf(c_30707,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_30689,c_12859]) ).
tcf(c_30733,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_30695,c_70]) ).
tcf(c_30734,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_30695,c_190]) ).
tcf(c_30735,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_30695,c_191]) ).
tcf(c_30736,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ segmentP(iPr_def_11,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30735,c_12859,c_18402]) ).
tcf(c_30739,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ segmentP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30734,c_12859,c_18402]) ).
tcf(c_30743,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_30733,c_12859,c_18402]) ).
tcf(c_30752,plain,
( ( nil = sK58 )
| ~ ssList(nil)
| ( iPr_def_11 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_12892,c_25428]) ).
tcf(c_30753,plain,
( ( nil = sK58 )
| ( iPr_def_11 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30752,c_141]) ).
tcf(c_30762,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ( sK58 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8988,c_26192]) ).
tcf(c_30765,plain,
( ( sK11(sK58,sK58) = nil )
| ~ ssList(sK11(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_17901,c_26192]) ).
tcf(c_30768,plain,
sK58 != iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_30762,c_13900,c_12859]) ).
tcf(c_30769,plain,
~ segmentP(sK58,iPr_def_12),
inference(backward_subsumption_resolution,[status(thm)],[c_28331,c_30768]) ).
tcf(c_30770,plain,
~ frontsegP(sK58,iPr_def_12),
inference(backward_subsumption_resolution,[status(thm)],[c_18884,c_30768]) ).
tcf(c_30778,plain,
( ( sK11(sK59,sK59) = nil )
| ~ ssList(sK11(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_17902,c_26196]) ).
tcf(c_30788,plain,
( ( sK11(sK56,sK56) = nil )
| ~ ssList(sK11(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_17903,c_26200]) ).
tcf(c_30798,plain,
( ( sK11(nil,nil) = sK58 )
| ~ ssList(sK11(nil,nil))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_17905,c_26204]) ).
tcf(c_30808,plain,
( ( sK11(sK56,nil) = sK58 )
| ~ ssList(sK11(sK56,nil))
| ( sK56 != sK58 ) ),
inference(superposition,[status(thm)],[c_17911,c_26204]) ).
tcf(c_30809,plain,
( ( sK11(sK59,nil) = sK58 )
| ~ ssList(sK11(sK59,nil))
| ( sK59 != sK58 ) ),
inference(superposition,[status(thm)],[c_17910,c_26204]) ).
tcf(c_30810,plain,
( ( sK11(sK58,nil) = sK58 )
| ~ ssList(sK11(sK58,nil)) ),
inference(superposition,[status(thm)],[c_17909,c_26204]) ).
tcf(c_30838,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_30839,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_8987,c_137]) ).
tcf(c_30840,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_8986,c_137]) ).
tcf(c_30841,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_15611,c_137]) ).
tcf(c_30842,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_15612,c_137]) ).
tcf(c_30843,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_15613,c_137]) ).
tcf(c_30844,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_15620,c_137]) ).
tcf(c_30845,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_16390,c_137]) ).
tcf(c_30846,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_16391,c_137]) ).
tcf(c_30847,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_16392,c_137]) ).
tcf(c_30848,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_17164,c_137]) ).
tcf(c_30849,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_30840,c_8986]) ).
tcf(c_30850,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_30849,c_141,c_18410]) ).
tcf(c_30856,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_30839,c_8987]) ).
tcf(c_30857,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_30856,c_141,c_8999]) ).
tcf(c_30870,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_30848,c_17164]) ).
tcf(c_30871,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_30870,c_141]) ).
tcf(c_30878,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_30844,c_15620]) ).
tcf(c_31034,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_31035,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_23497,c_114]) ).
tcf(c_31036,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_23496,c_114]) ).
tcf(c_31037,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_23495,c_114]) ).
tcf(c_31038,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_23493,c_114]) ).
tcf(c_31039,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_8987,c_114]) ).
tcf(c_31040,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_8986,c_114]) ).
tcf(c_31041,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_15611,c_114]) ).
tcf(c_31042,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_15612,c_114]) ).
tcf(c_31043,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_15613,c_114]) ).
tcf(c_31044,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_15620,c_114]) ).
tcf(c_31045,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_16390,c_114]) ).
tcf(c_31046,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_16391,c_114]) ).
tcf(c_31047,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_16392,c_114]) ).
tcf(c_31048,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_17164,c_114]) ).
tcf(c_31049,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_8987,c_114]) ).
tcf(c_31050,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_8986,c_114]) ).
tcf(c_31051,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_15611,c_114]) ).
tcf(c_31052,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_15612,c_114]) ).
tcf(c_31053,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_15613,c_114]) ).
tcf(c_31054,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_15620,c_114]) ).
tcf(c_31055,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_16390,c_114]) ).
tcf(c_31056,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_16391,c_114]) ).
tcf(c_31057,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_16392,c_114]) ).
tcf(c_31058,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_17164,c_114]) ).
tcf(c_31059,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_31050,c_8986]) ).
tcf(c_31060,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_31059,c_141,c_18410]) ).
tcf(c_31067,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_31049,c_8987]) ).
tcf(c_31068,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_31067,c_141,c_8999]) ).
tcf(c_31075,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_31040,c_8986]) ).
tcf(c_31076,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_31075,c_141,c_18410]) ).
tcf(c_31083,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_31039,c_8987]) ).
tcf(c_31084,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_31083,c_141,c_8999]) ).
tcf(c_31091,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_31058,c_17164]) ).
tcf(c_31092,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_31091,c_141]) ).
tcf(c_31100,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_31048,c_17164]) ).
tcf(c_31101,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_31100,c_141]) ).
tcf(c_31118,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_31054,c_15620]) ).
tcf(c_31127,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_31044,c_15620]) ).
tcf(c_31136,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_31038,c_23493]) ).
tcf(c_31137,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_31136,c_8999]) ).
tcf(c_31145,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_31037,c_23495]) ).
tcf(c_31146,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_31145,c_8999]) ).
tcf(c_31154,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_31036,c_23496]) ).
tcf(c_31155,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_31154,c_8999]) ).
tcf(c_31163,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_31035,c_23497]) ).
tcf(c_31164,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_31163,c_18410]) ).
tcf(c_31320,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_31321,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_23497,c_122]) ).
tcf(c_31322,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_23496,c_122]) ).
tcf(c_31323,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_23495,c_122]) ).
tcf(c_31324,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_23493,c_122]) ).
tcf(c_31325,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_8987,c_122]) ).
tcf(c_31326,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_8986,c_122]) ).
tcf(c_31327,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_15611,c_122]) ).
tcf(c_31328,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_15612,c_122]) ).
tcf(c_31329,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_15613,c_122]) ).
tcf(c_31330,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_15620,c_122]) ).
tcf(c_31331,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_16390,c_122]) ).
tcf(c_31332,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_16391,c_122]) ).
tcf(c_31333,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_16392,c_122]) ).
tcf(c_31334,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_17164,c_122]) ).
tcf(c_31335,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_8987,c_122]) ).
tcf(c_31336,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_8986,c_122]) ).
tcf(c_31337,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_15611,c_122]) ).
tcf(c_31338,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_15612,c_122]) ).
tcf(c_31339,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_15613,c_122]) ).
tcf(c_31340,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_15620,c_122]) ).
tcf(c_31341,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_16390,c_122]) ).
tcf(c_31342,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_16391,c_122]) ).
tcf(c_31343,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_16392,c_122]) ).
tcf(c_31344,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_17164,c_122]) ).
tcf(c_31345,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_31336,c_8986]) ).
tcf(c_31346,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_31345,c_141,c_18410]) ).
tcf(c_31353,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_31335,c_8987]) ).
tcf(c_31354,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_31353,c_141,c_8999]) ).
tcf(c_31361,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_31326,c_8986]) ).
tcf(c_31362,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_31361,c_141,c_18410]) ).
tcf(c_31369,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_31325,c_8987]) ).
tcf(c_31370,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_31369,c_141,c_8999]) ).
tcf(c_31377,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_31344,c_17164]) ).
tcf(c_31378,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_31377,c_141]) ).
tcf(c_31386,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_31334,c_17164]) ).
tcf(c_31387,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_31386,c_141]) ).
tcf(c_31404,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_31340,c_15620]) ).
tcf(c_31413,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_31330,c_15620]) ).
tcf(c_31422,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_31324,c_23493]) ).
tcf(c_31423,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_31422,c_8999]) ).
tcf(c_31431,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_31323,c_23495]) ).
tcf(c_31432,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_31431,c_8999]) ).
tcf(c_31440,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_31322,c_23496]) ).
tcf(c_31441,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_31440,c_8999]) ).
tcf(c_31449,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_31321,c_23497]) ).
tcf(c_31450,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_31449,c_18410]) ).
tcf(c_31669,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_30655,c_70]) ).
tcf(c_31670,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_30655,c_190]) ).
tcf(c_31671,plain,
( ( sK59 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ segmentP(sK59,iPr_def_10) ),
inference(superposition,[status(thm)],[c_30655,c_191]) ).
tcf(c_31672,plain,
~ segmentP(sK59,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_31671,c_26063,c_18402,c_9003]) ).
tcf(c_31673,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31670,c_18402,c_9003]) ).
tcf(c_31677,plain,
app(app(sK13(iPr_def_10,sK59),sK59),sK14(iPr_def_10,sK59)) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_31669,c_18402,c_9003]) ).
tcf(c_31679,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_30693,c_70]) ).
tcf(c_31680,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_30693,c_190]) ).
tcf(c_31681,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_30693,c_191]) ).
tcf(c_31682,plain,
( ( iPr_def_11 = iPr_def_12 )
| ~ segmentP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31681,c_12995,c_12859]) ).
tcf(c_31685,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ segmentP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31680,c_12995,c_12859]) ).
tcf(c_31689,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_31679,c_12995,c_12859]) ).
tcf(c_31697,plain,
( segmentP(iPr_def_10,nil)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_194,c_31673]) ).
tcf(c_31699,plain,
segmentP(iPr_def_10,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_31697,c_9003,c_141]) ).
tcf(c_31700,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_31699,c_70]) ).
tcf(c_31701,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_31699,c_190]) ).
tcf(c_31702,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ segmentP(nil,iPr_def_10) ),
inference(superposition,[status(thm)],[c_31699,c_191]) ).
tcf(c_31703,plain,
~ segmentP(nil,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_31702,c_18417,c_18402,c_141]) ).
tcf(c_31704,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31701,c_18402,c_141]) ).
tcf(c_31708,plain,
app(app(sK13(iPr_def_10,nil),nil),sK14(iPr_def_10,nil)) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_31700,c_18402,c_141]) ).
tcf(c_31709,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_31677,c_67]) ).
tcf(c_31712,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_31677,c_167]) ).
tcf(c_31715,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_31677,c_386]) ).
tcf(c_31716,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_31677,c_383]) ).
tcf(c_31718,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_31677,c_225]) ).
tcf(c_31720,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_31677,c_226]) ).
tcf(c_31721,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_31677,c_176]) ).
tcf(c_31722,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_31677,c_165]) ).
tcf(c_31723,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_31677,c_193]) ).
tcf(c_31724,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_31677,c_186]) ).
tcf(c_31725,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_31677,c_166]) ).
tcf(c_31726,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_31677,c_193]) ).
tcf(c_31776,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_31709,c_31677]) ).
tcf(c_31796,plain,
( ( sK11(nil,nil) = sK59 )
| ~ ssList(sK11(nil,nil))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_17905,c_26208]) ).
tcf(c_31806,plain,
( ( sK11(sK56,nil) = sK59 )
| ~ ssList(sK11(sK56,nil))
| ( sK56 != sK59 ) ),
inference(superposition,[status(thm)],[c_17911,c_26208]) ).
tcf(c_31807,plain,
( ( sK11(sK59,nil) = sK59 )
| ~ ssList(sK11(sK59,nil)) ),
inference(superposition,[status(thm)],[c_17910,c_26208]) ).
tcf(c_31808,plain,
( ( sK11(sK58,nil) = sK59 )
| ~ ssList(sK11(sK58,nil))
| ( sK59 != sK58 ) ),
inference(superposition,[status(thm)],[c_17909,c_26208]) ).
tcf(c_31809,plain,
( ( sK11(iPr_def_12,nil) = sK59 )
| ~ ssList(sK11(iPr_def_12,nil))
| ( sK59 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_17908,c_26208]) ).
tcf(c_31832,plain,
( ( sK11(nil,nil) = sK56 )
| ~ ssList(sK11(nil,nil))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_17905,c_26212]) ).
tcf(c_31842,plain,
( ( sK11(sK56,nil) = sK56 )
| ~ ssList(sK11(sK56,nil)) ),
inference(superposition,[status(thm)],[c_17911,c_26212]) ).
tcf(c_31843,plain,
( ( sK11(sK59,nil) = sK56 )
| ~ ssList(sK11(sK59,nil))
| ( sK56 != sK59 ) ),
inference(superposition,[status(thm)],[c_17910,c_26212]) ).
tcf(c_31844,plain,
( ( sK11(sK58,nil) = sK56 )
| ~ ssList(sK11(sK58,nil))
| ( sK56 != sK58 ) ),
inference(superposition,[status(thm)],[c_17909,c_26212]) ).
tcf(c_31845,plain,
( ( sK11(iPr_def_12,nil) = sK56 )
| ~ ssList(sK11(iPr_def_12,nil))
| ( sK56 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_17908,c_26212]) ).
tcf(c_31868,plain,
( ( nil = sK59 )
| ~ ssList(nil)
| ( iPr_def_10 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_13022,c_26224]) ).
tcf(c_31869,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_17899,c_26224]) ).
tcf(c_31870,plain,
( ( nil = sK59 )
| ( iPr_def_10 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31868,c_141]) ).
tcf(c_31884,plain,
( ( sK11(iPr_def_12,sK58) = iPr_def_11 )
| ~ ssList(sK11(iPr_def_12,sK58)) ),
inference(superposition,[status(thm)],[c_17914,c_26228]) ).
tcf(c_31889,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_17912,c_67]) ).
tcf(c_31892,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_17912,c_167]) ).
tcf(c_31896,plain,
( rearsegP(iPr_def_11,sK11(iPr_def_11,nil))
| ~ ssList(nil)
| ~ ssList(sK11(iPr_def_11,nil)) ),
inference(superposition,[status(thm)],[c_17912,c_383]) ).
tcf(c_31898,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_17912,c_225]) ).
tcf(c_31899,plain,
( ( sK11(iPr_def_11,nil) = sK56 )
| ~ ssList(sK11(iPr_def_11,nil))
| ( sK56 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_17912,c_26212]) ).
tcf(c_31900,plain,
( ( sK11(iPr_def_11,nil) = sK59 )
| ~ ssList(sK11(iPr_def_11,nil))
| ( sK59 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_17912,c_26208]) ).
tcf(c_31901,plain,
( ( sK11(iPr_def_11,nil) = sK58 )
| ~ ssList(sK11(iPr_def_11,nil))
| ( sK58 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_17912,c_26204]) ).
tcf(c_31902,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_17912,c_226]) ).
tcf(c_31903,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_17912,c_176]) ).
tcf(c_31905,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_17912,c_193]) ).
tcf(c_31906,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_17912,c_186]) ).
tcf(c_31907,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_17912,c_166]) ).
tcf(c_31908,plain,
( rearsegP(iPr_def_11,sK11(iPr_def_11,nil))
| ~ ssList(sK11(iPr_def_11,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31896,c_141]) ).
tcf(c_31921,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_31907,c_141]) ).
tcf(c_31926,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_31906,c_141]) ).
tcf(c_31931,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_31892,c_141]) ).
tcf(c_31937,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_31902,c_141]) ).
tcf(c_31942,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_31898,c_141]) ).
tcf(c_31947,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_31905,c_141]) ).
tcf(c_31953,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_31889,c_17912]) ).
tcf(c_31954,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_31953,c_141]) ).
tcf(c_32112,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_18461,c_67]) ).
tcf(c_32118,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_18461,c_386]) ).
tcf(c_32121,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_18461,c_225]) ).
tcf(c_32122,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_18461,c_226]) ).
tcf(c_32123,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_18461,c_176]) ).
tcf(c_32124,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_18461,c_165]) ).
tcf(c_32125,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_18461,c_193]) ).
tcf(c_32128,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_32118,c_12995]) ).
tcf(c_32131,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_32124,c_12995]) ).
tcf(c_32136,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_32123,c_12995]) ).
tcf(c_32142,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_32122,c_12995]) ).
tcf(c_32147,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_32121,c_12995]) ).
tcf(c_32152,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_32112,c_18461]) ).
tcf(c_32153,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_32152,c_12995]) ).
tcf(c_32161,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_18465,c_67]) ).
tcf(c_32167,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_18465,c_386]) ).
tcf(c_32170,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_18465,c_225]) ).
tcf(c_32171,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_18465,c_226]) ).
tcf(c_32172,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_18465,c_176]) ).
tcf(c_32173,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_18465,c_165]) ).
tcf(c_32174,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_18465,c_193]) ).
tcf(c_32177,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_18465,c_25428]) ).
tcf(c_32179,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_32167,c_12859]) ).
tcf(c_32185,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_32173,c_12859]) ).
tcf(c_32190,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_32172,c_12859]) ).
tcf(c_32196,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_32171,c_12859]) ).
tcf(c_32201,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_32170,c_12859]) ).
tcf(c_32206,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_32161,c_18465]) ).
tcf(c_32207,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_32206,c_12859]) ).
tcf(c_32215,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_18466,c_67]) ).
tcf(c_32219,plain,
( ( sK12(nil,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_18466,c_231]) ).
tcf(c_32221,plain,
( frontsegP(nil,sK12(nil,nil))
| ~ ssList(nil)
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_18466,c_386]) ).
tcf(c_32224,plain,
! [X0: $i] :
( ( sK12(nil,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(nil,nil))
| ( app(X0,nil) != nil ) ),
inference(superposition,[status(thm)],[c_18466,c_225]) ).
tcf(c_32225,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(nil,nil))
| ( app(sK12(nil,nil),X0) != nil ) ),
inference(superposition,[status(thm)],[c_18466,c_226]) ).
tcf(c_32226,plain,
! [X0: $i] :
( frontsegP(nil,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(nil,nil))
| ~ frontsegP(sK12(nil,nil),X0) ),
inference(superposition,[status(thm)],[c_18466,c_176]) ).
tcf(c_32227,plain,
! [X0: $i] :
( memberP(nil,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK12(nil,nil))
| ~ memberP(sK12(nil,nil),X0) ),
inference(superposition,[status(thm)],[c_18466,c_165]) ).
tcf(c_32228,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_18466,c_193]) ).
tcf(c_32231,plain,
( ( sK12(nil,nil) = sK56 )
| ~ ssList(sK12(nil,nil))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_18466,c_25400]) ).
tcf(c_32232,plain,
( ( sK12(nil,nil) = sK59 )
| ~ ssList(sK12(nil,nil))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_18466,c_25396]) ).
tcf(c_32233,plain,
( ( sK12(nil,nil) = sK58 )
| ~ ssList(sK12(nil,nil))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_18466,c_25392]) ).
tcf(c_32234,plain,
( frontsegP(nil,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32221,c_141]) ).
tcf(c_32237,plain,
( ( sK12(nil,nil) = nil )
| ~ ssList(sK12(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32219,c_141]) ).
tcf(c_32249,plain,
! [X0: $i] :
( memberP(nil,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(nil,nil))
| ~ memberP(sK12(nil,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32227,c_141]) ).
tcf(c_32254,plain,
! [X0: $i] :
( frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(sK12(nil,nil))
| ~ frontsegP(sK12(nil,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32226,c_141]) ).
tcf(c_32260,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK12(nil,nil))
| ( app(sK12(nil,nil),X0) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32225,c_141]) ).
tcf(c_32265,plain,
! [X0: $i] :
( ( sK12(nil,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(nil,nil))
| ( app(X0,nil) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32224,c_141]) ).
tcf(c_32270,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_32215,c_18466]) ).
tcf(c_32271,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_32270,c_141]) ).
tcf(c_32310,plain,
( frontsegP(nil,sK49(sK56))
| ( nil = sK56 )
| ~ frontsegP(iPr_def_11,sK56)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56)) ),
inference(superposition,[status(thm)],[c_15611,c_26831]) ).
tcf(c_32311,plain,
( frontsegP(nil,sK49(sK59))
| ( nil = sK59 )
| ~ frontsegP(iPr_def_11,sK59)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59)) ),
inference(superposition,[status(thm)],[c_15612,c_26831]) ).
tcf(c_32312,plain,
( frontsegP(nil,sK49(sK58))
| ( nil = sK58 )
| ~ frontsegP(iPr_def_11,sK58)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58)) ),
inference(superposition,[status(thm)],[c_15613,c_26831]) ).
tcf(c_32313,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_15620,c_26831]) ).
tcf(c_32314,plain,
( frontsegP(nil,tl(sK56))
| ( nil = sK56 )
| ~ frontsegP(iPr_def_11,sK56)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56)) ),
inference(superposition,[status(thm)],[c_16390,c_26831]) ).
tcf(c_32315,plain,
( frontsegP(nil,tl(sK59))
| ( nil = sK59 )
| ~ frontsegP(iPr_def_11,sK59)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59)) ),
inference(superposition,[status(thm)],[c_16391,c_26831]) ).
tcf(c_32316,plain,
( frontsegP(nil,tl(sK58))
| ( nil = sK58 )
| ~ frontsegP(iPr_def_11,sK58)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58)) ),
inference(superposition,[status(thm)],[c_16392,c_26831]) ).
tcf(c_32318,plain,
( frontsegP(nil,sK49(iPr_def_11))
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32313,c_13737]) ).
tcf(c_32360,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_8988,c_27021]) ).
tcf(c_32361,plain,
! [X0: $i] :
( segmentP(sK58,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_12787,c_27021]) ).
tcf(c_32364,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_27021,c_70]) ).
tcf(c_32365,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_27021,c_190]) ).
tcf(c_32366,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_27021,c_191]) ).
tcf(c_32367,plain,
! [X0: $i] :
( segmentP(sK58,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32361,c_141]) ).
tcf(c_32402,plain,
! [X0: $i] :
( segmentP(sK59,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_12786,c_27026]) ).
tcf(c_32404,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_27026,c_70]) ).
tcf(c_32405,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_27026,c_190]) ).
tcf(c_32406,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_27026,c_191]) ).
tcf(c_32407,plain,
! [X0: $i] :
( segmentP(sK59,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32402,c_141]) ).
tcf(c_32483,plain,
! [X0: $i] :
( segmentP(sK56,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_12785,c_27031]) ).
tcf(c_32485,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_27031,c_70]) ).
tcf(c_32486,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_27031,c_190]) ).
tcf(c_32487,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_27031,c_191]) ).
tcf(c_32488,plain,
! [X0: $i] :
( segmentP(sK56,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32483,c_141]) ).
tcf(c_32522,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_8988,c_27036]) ).
tcf(c_32526,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_27036,c_70]) ).
tcf(c_32527,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_27036,c_190]) ).
tcf(c_32528,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_27036,c_191]) ).
tcf(c_32560,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_27041,c_70]) ).
tcf(c_32561,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_27041,c_190]) ).
tcf(c_32562,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_27041,c_191]) ).
tcf(c_32593,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_27046,c_70]) ).
tcf(c_32594,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_27046,c_190]) ).
tcf(c_32595,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_27046,c_191]) ).
tcf(c_32624,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_18401,c_27061]) ).
tcf(c_32625,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_27061,c_70]) ).
tcf(c_32626,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_27061,c_190]) ).
tcf(c_32627,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_27061,c_191]) ).
tcf(c_32655,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_18469,c_67]) ).
tcf(c_32658,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_18469,c_167]) ).
tcf(c_32661,plain,
( frontsegP(iPr_def_12,sK12(iPr_def_12,nil))
| ~ ssList(nil)
| ~ ssList(sK12(iPr_def_12,nil)) ),
inference(superposition,[status(thm)],[c_18469,c_386]) ).
tcf(c_32664,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_18469,c_225]) ).
tcf(c_32665,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_18469,c_226]) ).
tcf(c_32666,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_18469,c_176]) ).
tcf(c_32667,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_18469,c_165]) ).
tcf(c_32668,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_18469,c_193]) ).
tcf(c_32669,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_18469,c_186]) ).
tcf(c_32671,plain,
( ( sK12(iPr_def_12,nil) = sK56 )
| ~ ssList(sK12(iPr_def_12,nil))
| ( sK56 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_18469,c_25400]) ).
tcf(c_32672,plain,
( ( sK12(iPr_def_12,nil) = sK59 )
| ~ ssList(sK12(iPr_def_12,nil))
| ( sK59 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_18469,c_25396]) ).
tcf(c_32674,plain,
( frontsegP(iPr_def_12,sK12(iPr_def_12,nil))
| ~ ssList(sK12(iPr_def_12,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32661,c_141]) ).
tcf(c_32684,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_32667,c_141]) ).
tcf(c_32689,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_32666,c_141]) ).
tcf(c_32695,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_32658,c_141]) ).
tcf(c_32701,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_32665,c_141]) ).
tcf(c_32706,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_32664,c_141]) ).
tcf(c_32711,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_32655,c_18469]) ).
tcf(c_32712,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_32711,c_141]) ).
tcf(c_32750,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_18470,c_67]) ).
tcf(c_32753,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_18470,c_167]) ).
tcf(c_32756,plain,
( frontsegP(iPr_def_11,sK12(iPr_def_11,nil))
| ~ ssList(nil)
| ~ ssList(sK12(iPr_def_11,nil)) ),
inference(superposition,[status(thm)],[c_18470,c_386]) ).
tcf(c_32759,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_18470,c_225]) ).
tcf(c_32760,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_18470,c_226]) ).
tcf(c_32761,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_18470,c_176]) ).
tcf(c_32762,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_18470,c_165]) ).
tcf(c_32763,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_18470,c_193]) ).
tcf(c_32764,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_18470,c_186]) ).
tcf(c_32766,plain,
( ( sK12(iPr_def_11,nil) = sK56 )
| ~ ssList(sK12(iPr_def_11,nil))
| ( sK56 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_18470,c_25400]) ).
tcf(c_32767,plain,
( ( sK12(iPr_def_11,nil) = sK59 )
| ~ ssList(sK12(iPr_def_11,nil))
| ( sK59 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_18470,c_25396]) ).
tcf(c_32768,plain,
( ( sK12(iPr_def_11,nil) = sK58 )
| ~ ssList(sK12(iPr_def_11,nil))
| ( sK58 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_18470,c_25392]) ).
tcf(c_32769,plain,
( frontsegP(iPr_def_11,sK12(iPr_def_11,nil))
| ~ ssList(sK12(iPr_def_11,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32756,c_141]) ).
tcf(c_32782,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_32762,c_141]) ).
tcf(c_32787,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_32761,c_141]) ).
tcf(c_32793,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_32753,c_141]) ).
tcf(c_32799,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_32760,c_141]) ).
tcf(c_32804,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_32759,c_141]) ).
tcf(c_32809,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_32750,c_18470]) ).
tcf(c_32810,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_32809,c_141]) ).
tcf(c_32818,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_18474,c_67]) ).
tcf(c_32821,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_18474,c_167]) ).
tcf(c_32824,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_18474,c_386]) ).
tcf(c_32827,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_18474,c_225]) ).
tcf(c_32828,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_18474,c_226]) ).
tcf(c_32829,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_18474,c_176]) ).
tcf(c_32830,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_18474,c_165]) ).
tcf(c_32831,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_18474,c_193]) ).
tcf(c_32832,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_18474,c_186]) ).
tcf(c_32833,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_18474,c_166]) ).
tcf(c_32834,plain,
( ( sK12(iPr_def_12,iPr_def_11) = sK58 )
| ~ ssList(sK12(iPr_def_12,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_18474,c_25428]) ).
tcf(c_32838,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_32824,c_12859]) ).
tcf(c_32843,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_32830,c_12859]) ).
tcf(c_32848,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_32829,c_12859]) ).
tcf(c_32854,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_32821,c_12859]) ).
tcf(c_32860,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_32828,c_12859]) ).
tcf(c_32865,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_32827,c_12859]) ).
tcf(c_32870,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_32818,c_18474]) ).
tcf(c_32871,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_32870,c_12859]) ).
tcf(c_32884,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_19082,c_67]) ).
tcf(c_32887,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_19082,c_167]) ).
tcf(c_32891,plain,
( rearsegP(iPr_def_10,sK11(iPr_def_10,nil))
| ~ ssList(nil)
| ~ ssList(sK11(iPr_def_10,nil)) ),
inference(superposition,[status(thm)],[c_19082,c_383]) ).
tcf(c_32893,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_19082,c_225]) ).
tcf(c_32894,plain,
( ( sK11(iPr_def_10,nil) = sK56 )
| ~ ssList(sK11(iPr_def_10,nil))
| ( sK56 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_19082,c_26212]) ).
tcf(c_32896,plain,
( ( sK11(iPr_def_10,nil) = sK58 )
| ~ ssList(sK11(iPr_def_10,nil))
| ( sK58 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_19082,c_26204]) ).
tcf(c_32897,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_19082,c_226]) ).
tcf(c_32898,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_19082,c_176]) ).
tcf(c_32900,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_19082,c_193]) ).
tcf(c_32901,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_19082,c_186]) ).
tcf(c_32902,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_19082,c_166]) ).
tcf(c_32903,plain,
( rearsegP(iPr_def_10,sK11(iPr_def_10,nil))
| ~ ssList(sK11(iPr_def_10,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32891,c_141]) ).
tcf(c_32913,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_32902,c_141]) ).
tcf(c_32918,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_32901,c_141]) ).
tcf(c_32923,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_32887,c_141]) ).
tcf(c_32929,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_32897,c_141]) ).
tcf(c_32934,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_32893,c_141]) ).
tcf(c_32939,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_32900,c_141]) ).
tcf(c_32945,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_32884,c_19082]) ).
tcf(c_32946,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_32945,c_141]) ).
tcf(c_33076,plain,
~ frontsegP(nil,iPr_def_10),
inference(global_subsumption_just,[status(thm)],[c_19083,c_13897,c_18410,c_19083]) ).
tcf(c_33081,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_19626,c_67]) ).
tcf(c_33088,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_19626,c_383]) ).
tcf(c_33090,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_19626,c_225]) ).
tcf(c_33091,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_19626,c_226]) ).
tcf(c_33094,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_19626,c_193]) ).
tcf(c_33095,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_19626,c_186]) ).
tcf(c_33096,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_19626,c_166]) ).
tcf(c_33099,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_33088,c_18402]) ).
tcf(c_33102,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_33096,c_18402]) ).
tcf(c_33107,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_33095,c_18402]) ).
tcf(c_33112,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_33091,c_18402]) ).
tcf(c_33117,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_33090,c_18402]) ).
tcf(c_33122,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_33094,c_18402]) ).
tcf(c_33128,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_33081,c_19626]) ).
tcf(c_33129,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_33128,c_18402]) ).
tcf(c_33188,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_19629,c_67]) ).
tcf(c_33191,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_19629,c_167]) ).
tcf(c_33195,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_19629,c_383]) ).
tcf(c_33197,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_19629,c_225]) ).
tcf(c_33198,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_19629,c_226]) ).
tcf(c_33199,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_19629,c_176]) ).
tcf(c_33200,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_19629,c_165]) ).
tcf(c_33201,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_19629,c_193]) ).
tcf(c_33202,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_19629,c_186]) ).
tcf(c_33203,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_19629,c_166]) ).
tcf(c_33204,plain,
( ( sK11(iPr_def_10,iPr_def_12) = sK59 )
| ~ ssList(sK11(iPr_def_10,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_19629,c_26224]) ).
tcf(c_33208,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_33195,c_12995]) ).
tcf(c_33213,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_33203,c_12995]) ).
tcf(c_33218,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_33202,c_12995]) ).
tcf(c_33223,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_33191,c_12995]) ).
tcf(c_33229,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_33198,c_12995]) ).
tcf(c_33234,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_33197,c_12995]) ).
tcf(c_33239,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_33201,c_12995]) ).
tcf(c_33245,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_33188,c_19629]) ).
tcf(c_33246,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_33245,c_12995]) ).
tcf(c_33265,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_18427,c_27066]) ).
tcf(c_33266,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_13022,c_27066]) ).
tcf(c_33269,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_27066,c_70]) ).
tcf(c_33270,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_27066,c_190]) ).
tcf(c_33271,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_27066,c_191]) ).
tcf(c_33321,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_15465,c_223]) ).
tcf(c_33322,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_15465,c_212]) ).
tcf(c_33323,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_15465,c_206]) ).
tcf(c_33411,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_19635,c_67]) ).
tcf(c_33417,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_19635,c_386]) ).
tcf(c_33420,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_19635,c_225]) ).
tcf(c_33421,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_19635,c_226]) ).
tcf(c_33422,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_19635,c_176]) ).
tcf(c_33423,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_19635,c_165]) ).
tcf(c_33424,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_19635,c_193]) ).
tcf(c_33427,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_33417,c_18402]) ).
tcf(c_33430,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_33423,c_18402]) ).
tcf(c_33435,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_33422,c_18402]) ).
tcf(c_33441,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_33421,c_18402]) ).
tcf(c_33446,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_33420,c_18402]) ).
tcf(c_33451,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_33411,c_19635]) ).
tcf(c_33452,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_33451,c_18402]) ).
tcf(c_33478,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_20172,c_67]) ).
tcf(c_33481,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_20172,c_167]) ).
tcf(c_33484,plain,
( frontsegP(iPr_def_10,sK12(iPr_def_10,nil))
| ~ ssList(nil)
| ~ ssList(sK12(iPr_def_10,nil)) ),
inference(superposition,[status(thm)],[c_20172,c_386]) ).
tcf(c_33487,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_20172,c_225]) ).
tcf(c_33488,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_20172,c_226]) ).
tcf(c_33489,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_20172,c_176]) ).
tcf(c_33490,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_20172,c_165]) ).
tcf(c_33491,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_20172,c_193]) ).
tcf(c_33492,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_20172,c_186]) ).
tcf(c_33494,plain,
( ( sK12(iPr_def_10,nil) = sK56 )
| ~ ssList(sK12(iPr_def_10,nil))
| ( sK56 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_20172,c_25400]) ).
tcf(c_33496,plain,
( ( sK12(iPr_def_10,nil) = sK58 )
| ~ ssList(sK12(iPr_def_10,nil))
| ( sK58 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_20172,c_25392]) ).
tcf(c_33497,plain,
( frontsegP(iPr_def_10,sK12(iPr_def_10,nil))
| ~ ssList(sK12(iPr_def_10,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33484,c_141]) ).
tcf(c_33507,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_33490,c_141]) ).
tcf(c_33512,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_33489,c_141]) ).
tcf(c_33518,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_33481,c_141]) ).
tcf(c_33524,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_33488,c_141]) ).
tcf(c_33529,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_33487,c_141]) ).
tcf(c_33534,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_33478,c_20172]) ).
tcf(c_33535,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_33534,c_141]) ).
tcf(c_33543,plain,
~ rearsegP(nil,iPr_def_10),
inference(global_subsumption_just,[status(thm)],[c_20173,c_13897,c_18410,c_20173]) ).
tcf(c_33547,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_20182,c_223]) ).
tcf(c_33548,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_20182,c_212]) ).
tcf(c_33549,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_20182,c_206]) ).
tcf(c_33562,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_33547,c_20181]) ).
tcf(c_33572,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_20186,c_67]) ).
tcf(c_33578,plain,
( frontsegP(tl(iPr_def_12),tl(iPr_def_12))
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_20186,c_386]) ).
tcf(c_33579,plain,
( rearsegP(tl(iPr_def_12),nil)
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_20186,c_383]) ).
tcf(c_33581,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_20186,c_225]) ).
tcf(c_33582,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_20186,c_226]) ).
tcf(c_33585,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_20186,c_193]) ).
tcf(c_33586,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_20186,c_186]) ).
tcf(c_33587,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_20186,c_166]) ).
tcf(c_33591,plain,
rearsegP(tl(iPr_def_12),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_33579,c_141,c_19130]) ).
tcf(c_33592,plain,
frontsegP(tl(iPr_def_12),tl(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_33578,c_141,c_19130]) ).
tcf(c_33594,plain,
! [X0: $i] :
( rearsegP(tl(iPr_def_12),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33586,c_141,c_19130]) ).
tcf(c_33598,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_33585,c_141,c_19130]) ).
tcf(c_33603,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(tl(iPr_def_12),X0) != tl(iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33582,c_141,c_19130]) ).
tcf(c_33607,plain,
! [X0: $i] :
( ( tl(iPr_def_12) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != tl(iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33581,c_141,c_19130]) ).
tcf(c_33611,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_33572,c_20186]) ).
tcf(c_33612,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_33611,c_141,c_19130]) ).
tcf(c_33638,plain,
( ( tl(iPr_def_12) = nil )
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_12))
| ~ rearsegP(nil,tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_33591,c_184]) ).
tcf(c_33639,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_33591,c_66]) ).
tcf(c_33640,plain,
app(sK12(tl(iPr_def_12),nil),nil) = tl(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_33639,c_141,c_19130]) ).
tcf(c_33641,plain,
( ( tl(iPr_def_12) = nil )
| ~ rearsegP(nil,tl(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33638,c_141,c_19130]) ).
tcf(c_33646,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_33592,c_63]) ).
tcf(c_33647,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_33646,c_19130]) ).
tcf(c_33658,plain,
( ( sK57 = sK60 )
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8986,c_27753]) ).
tcf(c_33659,plain,
( ( nil = sK56 )
| ( sK50(sK56) = sK57 )
| ~ frontsegP(sK56,iPr_def_11)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56)) ),
inference(superposition,[status(thm)],[c_15611,c_27753]) ).
tcf(c_33660,plain,
( ( nil = sK59 )
| ( sK50(sK59) = sK57 )
| ~ frontsegP(sK59,iPr_def_11)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59)) ),
inference(superposition,[status(thm)],[c_15612,c_27753]) ).
tcf(c_33661,plain,
( ( nil = sK58 )
| ( sK50(sK58) = sK57 )
| ~ frontsegP(sK58,iPr_def_11)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58)) ),
inference(superposition,[status(thm)],[c_15613,c_27753]) ).
tcf(c_33662,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_15620,c_27753]) ).
tcf(c_33663,plain,
( ( nil = sK56 )
| ( hd(sK56) = sK57 )
| ~ frontsegP(sK56,iPr_def_11)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56)) ),
inference(superposition,[status(thm)],[c_16390,c_27753]) ).
tcf(c_33664,plain,
( ( nil = sK59 )
| ( hd(sK59) = sK57 )
| ~ frontsegP(sK59,iPr_def_11)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59)) ),
inference(superposition,[status(thm)],[c_16391,c_27753]) ).
tcf(c_33665,plain,
( ( nil = sK58 )
| ( hd(sK58) = sK57 )
| ~ frontsegP(sK58,iPr_def_11)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58)) ),
inference(superposition,[status(thm)],[c_16392,c_27753]) ).
tcf(c_33666,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_17164,c_27753]) ).
tcf(c_33667,plain,
( ( sK57 = sK60 )
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33658,c_141,c_18410]) ).
tcf(c_33670,plain,
( ( sK10(iPr_def_11) = sK57 )
| ~ ssItem(sK10(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33666,c_141,c_13737]) ).
tcf(c_33673,plain,
( ( sK50(iPr_def_11) = sK57 )
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33662,c_13737]) ).
tcf(c_33769,plain,
( ( sK57 = sK60 )
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ frontsegP(iPr_def_11,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8986,c_27763]) ).
tcf(c_33770,plain,
( ( nil = sK56 )
| ( sK50(sK56) = sK57 )
| ~ frontsegP(iPr_def_11,sK56)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56)) ),
inference(superposition,[status(thm)],[c_15611,c_27763]) ).
tcf(c_33771,plain,
( ( nil = sK59 )
| ( sK50(sK59) = sK57 )
| ~ frontsegP(iPr_def_11,sK59)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59)) ),
inference(superposition,[status(thm)],[c_15612,c_27763]) ).
tcf(c_33772,plain,
( ( nil = sK58 )
| ( sK50(sK58) = sK57 )
| ~ frontsegP(iPr_def_11,sK58)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58)) ),
inference(superposition,[status(thm)],[c_15613,c_27763]) ).
tcf(c_33774,plain,
( ( nil = sK56 )
| ( hd(sK56) = sK57 )
| ~ frontsegP(iPr_def_11,sK56)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56)) ),
inference(superposition,[status(thm)],[c_16390,c_27763]) ).
tcf(c_33775,plain,
( ( nil = sK59 )
| ( hd(sK59) = sK57 )
| ~ frontsegP(iPr_def_11,sK59)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59)) ),
inference(superposition,[status(thm)],[c_16391,c_27763]) ).
tcf(c_33776,plain,
( ( nil = sK58 )
| ( hd(sK58) = sK57 )
| ~ frontsegP(iPr_def_11,sK58)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58)) ),
inference(superposition,[status(thm)],[c_16392,c_27763]) ).
tcf(c_33778,plain,
( ( sK57 = sK60 )
| ~ frontsegP(iPr_def_11,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33769,c_141,c_18410]) ).
tcf(c_33865,plain,
( ssList(tl(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(tl(sK56)) ),
inference(superposition,[status(thm)],[c_15466,c_221]) ).
tcf(c_33870,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_20187,c_67]) ).
tcf(c_33876,plain,
( frontsegP(tl(iPr_def_12),nil)
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_20187,c_386]) ).
tcf(c_33877,plain,
( rearsegP(tl(iPr_def_12),tl(iPr_def_12))
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_20187,c_383]) ).
tcf(c_33879,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_20187,c_225]) ).
tcf(c_33883,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_20187,c_226]) ).
tcf(c_33884,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_20187,c_176]) ).
tcf(c_33886,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_20187,c_193]) ).
tcf(c_33889,plain,
frontsegP(tl(iPr_def_12),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_33876,c_141,c_19130]) ).
tcf(c_33890,plain,
rearsegP(tl(iPr_def_12),tl(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_33877,c_141,c_19130]) ).
tcf(c_33891,plain,
! [X0: $i] :
( frontsegP(tl(iPr_def_12),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33884,c_141,c_19130]) ).
tcf(c_33895,plain,
! [X0: $i] :
( ( tl(iPr_def_12) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != tl(iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33883,c_141,c_19130]) ).
tcf(c_33899,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,tl(iPr_def_12)) != tl(iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33879,c_141,c_19130]) ).
tcf(c_33903,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_33886,c_141,c_19130]) ).
tcf(c_33908,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_33870,c_20187]) ).
tcf(c_33909,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_33908,c_141,c_19130]) ).
tcf(c_33936,plain,
( ( tl(iPr_def_12) = nil )
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(nil,tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_33889,c_174]) ).
tcf(c_33937,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_33889,c_63]) ).
tcf(c_33938,plain,
app(nil,sK11(tl(iPr_def_12),nil)) = tl(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_33937,c_141,c_19130]) ).
tcf(c_33939,plain,
( ( tl(iPr_def_12) = nil )
| ~ frontsegP(nil,tl(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33936,c_141,c_19130]) ).
tcf(c_33944,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_33890,c_66]) ).
tcf(c_33945,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_33944,c_19130]) ).
tcf(c_33950,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_25907,c_57]) ).
tcf(c_33951,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_25907,c_12668]) ).
tcf(c_33953,plain,
( memberP(iPr_def_12,sK10(iPr_def_11))
| ~ ssItem(sK10(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_25907,c_18584]) ).
tcf(c_33956,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_33951,c_12859]) ).
tcf(c_33959,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_33950,c_12859]) ).
tcf(c_33972,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_27348,c_223]) ).
tcf(c_33973,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_27348,c_212]) ).
tcf(c_33974,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_27348,c_206]) ).
tcf(c_33987,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_33972,c_27347]) ).
tcf(c_34009,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_27352,c_67]) ).
tcf(c_34015,plain,
( frontsegP(tl(iPr_def_10),tl(iPr_def_10))
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_27352,c_386]) ).
tcf(c_34016,plain,
( rearsegP(tl(iPr_def_10),nil)
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_27352,c_383]) ).
tcf(c_34018,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_27352,c_225]) ).
tcf(c_34019,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_27352,c_226]) ).
tcf(c_34022,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_27352,c_193]) ).
tcf(c_34023,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_27352,c_186]) ).
tcf(c_34024,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_27352,c_166]) ).
tcf(c_34028,plain,
rearsegP(tl(iPr_def_10),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_34016,c_141,c_27333]) ).
tcf(c_34029,plain,
frontsegP(tl(iPr_def_10),tl(iPr_def_10)),
inference(forward_subsumption_resolution,[status(thm)],[c_34015,c_141,c_27333]) ).
tcf(c_34031,plain,
! [X0: $i] :
( rearsegP(tl(iPr_def_10),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34023,c_141,c_27333]) ).
tcf(c_34035,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_34022,c_141,c_27333]) ).
tcf(c_34040,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(tl(iPr_def_10),X0) != tl(iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34019,c_141,c_27333]) ).
tcf(c_34044,plain,
! [X0: $i] :
( ( tl(iPr_def_10) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != tl(iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34018,c_141,c_27333]) ).
tcf(c_34048,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_34009,c_27352]) ).
tcf(c_34049,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_34048,c_141,c_27333]) ).
tcf(c_34074,plain,
( ( tl(iPr_def_10) = nil )
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_10))
| ~ rearsegP(nil,tl(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_34028,c_184]) ).
tcf(c_34075,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_34028,c_66]) ).
tcf(c_34076,plain,
app(sK12(tl(iPr_def_10),nil),nil) = tl(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_34075,c_141,c_27333]) ).
tcf(c_34077,plain,
( ( tl(iPr_def_10) = nil )
| ~ rearsegP(nil,tl(iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34074,c_141,c_27333]) ).
tcf(c_34098,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_34029,c_63]) ).
tcf(c_34099,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_34098,c_27333]) ).
tcf(c_34153,plain,
( ( app(sK12(sK58,sK11(sK58,sK58)),sK11(sK58,sK58)) = sK58 )
| ~ ssList(sK58)
| ~ frontsegP(sK58,sK58) ),
inference(superposition,[status(thm)],[c_62,c_19120]) ).
tcf(c_34154,plain,
app(sK12(sK58,sK11(sK58,sK58)),sK11(sK58,sK58)) = sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_34153,c_9000,c_13739]) ).
tcf(c_34155,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_34154,c_67]) ).
tcf(c_34158,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_34154,c_167]) ).
tcf(c_34159,plain,
( ( sK12(sK58,sK11(sK58,sK58)) = nil )
| ~ ssList(sK11(sK58,sK58))
| ~ ssList(sK12(sK58,sK11(sK58,sK58)))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_34154,c_231]) ).
tcf(c_34161,plain,
( frontsegP(sK58,sK12(sK58,sK11(sK58,sK58)))
| ~ ssList(sK11(sK58,sK58))
| ~ ssList(sK12(sK58,sK11(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_34154,c_386]) ).
tcf(c_34164,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_34154,c_225]) ).
tcf(c_34165,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_34154,c_226]) ).
tcf(c_34166,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_34154,c_176]) ).
tcf(c_34167,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_34154,c_165]) ).
tcf(c_34230,plain,
( ssItem(hd(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(tl(sK56)) ),
inference(superposition,[status(thm)],[c_15467,c_219]) ).
tcf(c_34243,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_27353,c_67]) ).
tcf(c_34249,plain,
( frontsegP(tl(iPr_def_10),nil)
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_27353,c_386]) ).
tcf(c_34250,plain,
( rearsegP(tl(iPr_def_10),tl(iPr_def_10))
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_27353,c_383]) ).
tcf(c_34252,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_27353,c_225]) ).
tcf(c_34256,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_27353,c_226]) ).
tcf(c_34257,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_27353,c_176]) ).
tcf(c_34259,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_27353,c_193]) ).
tcf(c_34262,plain,
frontsegP(tl(iPr_def_10),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_34249,c_141,c_27333]) ).
tcf(c_34263,plain,
rearsegP(tl(iPr_def_10),tl(iPr_def_10)),
inference(forward_subsumption_resolution,[status(thm)],[c_34250,c_141,c_27333]) ).
tcf(c_34264,plain,
! [X0: $i] :
( frontsegP(tl(iPr_def_10),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34257,c_141,c_27333]) ).
tcf(c_34268,plain,
! [X0: $i] :
( ( tl(iPr_def_10) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != tl(iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34256,c_141,c_27333]) ).
tcf(c_34272,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,tl(iPr_def_10)) != tl(iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34252,c_141,c_27333]) ).
tcf(c_34276,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_34259,c_141,c_27333]) ).
tcf(c_34281,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_34243,c_27353]) ).
tcf(c_34282,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_34281,c_141,c_27333]) ).
tcf(c_34367,plain,
( ( tl(iPr_def_10) = nil )
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_10))
| ~ frontsegP(nil,tl(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_34262,c_174]) ).
tcf(c_34368,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_34262,c_63]) ).
tcf(c_34369,plain,
app(nil,sK11(tl(iPr_def_10),nil)) = tl(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_34368,c_141,c_27333]) ).
tcf(c_34370,plain,
( ( tl(iPr_def_10) = nil )
| ~ frontsegP(nil,tl(iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34367,c_141,c_27333]) ).
tcf(c_34375,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_34263,c_66]) ).
tcf(c_34376,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_34375,c_27333]) ).
tcf(c_34397,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_33953,c_57]) ).
tcf(c_34398,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_33953,c_12668]) ).
tcf(c_34399,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_33953,c_22920]) ).
tcf(c_34400,plain,
( memberP(iPr_def_10,sK10(iPr_def_11))
| ~ ssItem(sK10(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_33953,c_22335]) ).
tcf(c_34406,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_34398,c_12995]) ).
tcf(c_34409,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_34397,c_12995]) ).
tcf(c_34464,plain,
( ( app(sK12(sK59,sK11(sK59,sK59)),sK11(sK59,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ frontsegP(sK59,sK59) ),
inference(superposition,[status(thm)],[c_62,c_19686]) ).
tcf(c_34465,plain,
app(sK12(sK59,sK11(sK59,sK59)),sK11(sK59,sK59)) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_34464,c_9003,c_13740]) ).
tcf(c_34466,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_34465,c_67]) ).
tcf(c_34469,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_34465,c_167]) ).
tcf(c_34470,plain,
( ( sK12(sK59,sK11(sK59,sK59)) = nil )
| ~ ssList(sK11(sK59,sK59))
| ~ ssList(sK12(sK59,sK11(sK59,sK59)))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_34465,c_231]) ).
tcf(c_34472,plain,
( frontsegP(sK59,sK12(sK59,sK11(sK59,sK59)))
| ~ ssList(sK11(sK59,sK59))
| ~ ssList(sK12(sK59,sK11(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_34465,c_386]) ).
tcf(c_34475,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_34465,c_225]) ).
tcf(c_34476,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_34465,c_226]) ).
tcf(c_34477,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_34465,c_176]) ).
tcf(c_34478,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_34465,c_165]) ).
tcf(c_34546,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_15469,c_67]) ).
tcf(c_34552,plain,
( frontsegP(tl(sK56),tl(sK56))
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(tl(sK56)) ),
inference(superposition,[status(thm)],[c_15469,c_386]) ).
tcf(c_34553,plain,
( rearsegP(tl(sK56),nil)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(tl(sK56)) ),
inference(superposition,[status(thm)],[c_15469,c_383]) ).
tcf(c_34555,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_15469,c_225]) ).
tcf(c_34556,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_15469,c_226]) ).
tcf(c_34559,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_15469,c_193]) ).
tcf(c_34560,plain,
! [X0: $i] :
( rearsegP(tl(sK56),X0)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_15469,c_186]) ).
tcf(c_34561,plain,
! [X0: $i] :
( memberP(tl(sK56),X0)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(tl(sK56))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_15469,c_166]) ).
tcf(c_34565,plain,
( rearsegP(tl(sK56),nil)
| ( nil = sK56 )
| ~ ssList(tl(sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34553,c_141]) ).
tcf(c_34569,plain,
( frontsegP(tl(sK56),tl(sK56))
| ( nil = sK56 )
| ~ ssList(tl(sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34552,c_141]) ).
tcf(c_34573,plain,
! [X0: $i] :
( memberP(tl(sK56),X0)
| ( nil = sK56 )
| ~ ssItem(X0)
| ~ ssList(tl(sK56))
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34561,c_141]) ).
tcf(c_34579,plain,
! [X0: $i] :
( rearsegP(tl(sK56),X0)
| ( nil = sK56 )
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34560,c_141]) ).
tcf(c_34585,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_34559,c_141]) ).
tcf(c_34592,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_34556,c_141]) ).
tcf(c_34598,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_34555,c_141]) ).
tcf(c_34604,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_34546,c_141]) ).
tcf(c_34619,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_16067,c_223]) ).
tcf(c_34620,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_16067,c_212]) ).
tcf(c_34621,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_16067,c_206]) ).
tcf(c_34623,plain,
! [X0: $i] :
( totalorderedP(cons(X0,iPr_def_10))
| ( nil = sK56 )
| ~ ssItem(X0)
| ~ leq(X0,sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34621,c_18417,c_18406,c_18402]) ).
tcf(c_34628,plain,
! [X0: $i] :
( strictorderedP(cons(X0,iPr_def_10))
| ( nil = sK56 )
| ~ ssItem(X0)
| ~ lt(X0,sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34620,c_18417,c_18405,c_18402]) ).
tcf(c_34633,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_34619,c_18417,c_18402]) ).
tcf(c_34653,plain,
( ( nil = sK56 )
| ( hd(cons(sK57,nil)) = sK57 ) ),
inference(superposition,[status(thm)],[c_17467,c_27348]) ).
tcf(c_34675,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_34400,c_57]) ).
tcf(c_34676,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_34400,c_12668]) ).
tcf(c_34677,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_34400,c_22915]) ).
tcf(c_34681,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_34676,c_18402]) ).
tcf(c_34684,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_34675,c_18402]) ).
tcf(c_34688,plain,
( ( nil = sK56 )
| ( tl(cons(sK57,nil)) = nil ) ),
inference(superposition,[status(thm)],[c_17467,c_27347]) ).
tcf(c_34699,plain,
( ( app(sK12(sK56,sK11(sK56,sK56)),sK11(sK56,sK56)) = sK56 )
| ~ ssList(sK56)
| ~ frontsegP(sK56,sK56) ),
inference(superposition,[status(thm)],[c_62,c_19699]) ).
tcf(c_34700,plain,
app(sK12(sK56,sK11(sK56,sK56)),sK11(sK56,sK56)) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_34699,c_9004,c_13741]) ).
tcf(c_34701,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_34700,c_67]) ).
tcf(c_34704,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_34700,c_167]) ).
tcf(c_34705,plain,
( ( sK12(sK56,sK11(sK56,sK56)) = nil )
| ~ ssList(sK11(sK56,sK56))
| ~ ssList(sK12(sK56,sK11(sK56,sK56)))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_34700,c_231]) ).
tcf(c_34707,plain,
( frontsegP(sK56,sK12(sK56,sK11(sK56,sK56)))
| ~ ssList(sK11(sK56,sK56))
| ~ ssList(sK12(sK56,sK11(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_34700,c_386]) ).
tcf(c_34710,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_34700,c_225]) ).
tcf(c_34711,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_34700,c_226]) ).
tcf(c_34712,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_34700,c_176]) ).
tcf(c_34713,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_34700,c_165]) ).
tcf(c_34837,plain,
( ( app(sK12(sK58,sK58),sK11(sK58,sK12(sK58,sK58))) = sK58 )
| ~ ssList(sK58)
| ~ rearsegP(sK58,sK58) ),
inference(superposition,[status(thm)],[c_65,c_19739]) ).
tcf(c_34838,plain,
app(sK12(sK58,sK58),sK11(sK58,sK12(sK58,sK58))) = sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_34837,c_9000,c_13613]) ).
tcf(c_34839,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_34838,c_67]) ).
tcf(c_34842,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_34838,c_167]) ).
tcf(c_34844,plain,
( ( sK11(sK58,sK12(sK58,sK58)) = nil )
| ~ ssList(sK12(sK58,sK58))
| ~ ssList(sK11(sK58,sK12(sK58,sK58)))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_34838,c_230]) ).
tcf(c_34846,plain,
( rearsegP(sK58,sK11(sK58,sK12(sK58,sK58)))
| ~ ssList(sK12(sK58,sK58))
| ~ ssList(sK11(sK58,sK12(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_34838,c_383]) ).
tcf(c_34848,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_34838,c_225]) ).
tcf(c_34849,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_34838,c_226]) ).
tcf(c_34852,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_34838,c_193]) ).
tcf(c_34853,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_34838,c_186]) ).
tcf(c_34854,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_34838,c_166]) ).
tcf(c_34894,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_34839,c_34838]) ).
tcf(c_34915,plain,
( ( app(sK12(sK59,sK59),sK11(sK59,sK12(sK59,sK59))) = sK59 )
| ~ ssList(sK59)
| ~ rearsegP(sK59,sK59) ),
inference(superposition,[status(thm)],[c_65,c_20307]) ).
tcf(c_34916,plain,
app(sK12(sK59,sK59),sK11(sK59,sK12(sK59,sK59))) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_34915,c_9003,c_13614]) ).
tcf(c_34917,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_34916,c_67]) ).
tcf(c_34920,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_34916,c_167]) ).
tcf(c_34922,plain,
( ( sK11(sK59,sK12(sK59,sK59)) = nil )
| ~ ssList(sK12(sK59,sK59))
| ~ ssList(sK11(sK59,sK12(sK59,sK59)))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_34916,c_230]) ).
tcf(c_34924,plain,
( rearsegP(sK59,sK11(sK59,sK12(sK59,sK59)))
| ~ ssList(sK12(sK59,sK59))
| ~ ssList(sK11(sK59,sK12(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_34916,c_383]) ).
tcf(c_34926,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_34916,c_225]) ).
tcf(c_34927,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_34916,c_226]) ).
tcf(c_34930,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_34916,c_193]) ).
tcf(c_34931,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_34916,c_186]) ).
tcf(c_34932,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_34916,c_166]) ).
tcf(c_34972,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_34917,c_34916]) ).
tcf(c_34987,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_15470,c_67]) ).
tcf(c_34993,plain,
( frontsegP(tl(sK56),nil)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(tl(sK56)) ),
inference(superposition,[status(thm)],[c_15470,c_386]) ).
tcf(c_34994,plain,
( rearsegP(tl(sK56),tl(sK56))
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(tl(sK56)) ),
inference(superposition,[status(thm)],[c_15470,c_383]) ).
tcf(c_34996,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_15470,c_225]) ).
tcf(c_35000,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_15470,c_226]) ).
tcf(c_35001,plain,
! [X0: $i] :
( frontsegP(tl(sK56),X0)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_15470,c_176]) ).
tcf(c_35003,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_15470,c_193]) ).
tcf(c_35006,plain,
( frontsegP(tl(sK56),nil)
| ( nil = sK56 )
| ~ ssList(tl(sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34993,c_141]) ).
tcf(c_35010,plain,
( rearsegP(tl(sK56),tl(sK56))
| ( nil = sK56 )
| ~ ssList(tl(sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34994,c_141]) ).
tcf(c_35014,plain,
! [X0: $i] :
( frontsegP(tl(sK56),X0)
| ( nil = sK56 )
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35001,c_141]) ).
tcf(c_35020,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_35000,c_141]) ).
tcf(c_35026,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_34996,c_141]) ).
tcf(c_35032,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_35003,c_141]) ).
tcf(c_35039,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_34987,c_141]) ).
tcf(c_35195,plain,
( ( sK10(iPr_def_11) = sK57 )
| ~ singletonP(iPr_def_11)
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_59,c_33670]) ).
tcf(c_35196,plain,
sK10(iPr_def_11) = sK57,
inference(forward_subsumption_resolution,[status(thm)],[c_35195,c_17155,c_12859]) ).
tcf(c_35200,plain,
cons(sK57,nil) = iPr_def_11,
inference(demodulation,[status(thm)],[c_17164,c_35196]) ).
tcf(c_35256,plain,
( ( app(sK12(sK56,sK56),sK11(sK56,sK12(sK56,sK56))) = sK56 )
| ~ ssList(sK56)
| ~ rearsegP(sK56,sK56) ),
inference(superposition,[status(thm)],[c_65,c_20320]) ).
tcf(c_35257,plain,
app(sK12(sK56,sK56),sK11(sK56,sK12(sK56,sK56))) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_35256,c_9004,c_13615]) ).
tcf(c_35258,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_35257,c_67]) ).
tcf(c_35261,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_35257,c_167]) ).
tcf(c_35263,plain,
( ( sK11(sK56,sK12(sK56,sK56)) = nil )
| ~ ssList(sK12(sK56,sK56))
| ~ ssList(sK11(sK56,sK12(sK56,sK56)))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_35257,c_230]) ).
tcf(c_35265,plain,
( rearsegP(sK56,sK11(sK56,sK12(sK56,sK56)))
| ~ ssList(sK12(sK56,sK56))
| ~ ssList(sK11(sK56,sK12(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_35257,c_383]) ).
tcf(c_35267,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_35257,c_225]) ).
tcf(c_35268,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_35257,c_226]) ).
tcf(c_35271,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_35257,c_193]) ).
tcf(c_35272,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_35257,c_186]) ).
tcf(c_35273,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_35257,c_166]) ).
tcf(c_35313,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_35258,c_35257]) ).
tcf(c_35360,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_21824]) ).
tcf(c_35361,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_21824]) ).
tcf(c_35362,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_21824]) ).
tcf(c_35363,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_21824]) ).
tcf(c_35364,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_21824]) ).
tcf(c_35365,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_21824]) ).
tcf(c_35366,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_21824]) ).
tcf(c_35376,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_21824]) ).
tcf(c_35377,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_21824]) ).
tcf(c_35378,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_21824]) ).
tcf(c_35379,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_21824]) ).
tcf(c_35380,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_21824]) ).
tcf(c_35381,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_21824]) ).
tcf(c_35382,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_21824]) ).
tcf(c_35383,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_21824]) ).
tcf(c_35384,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_21824]) ).
tcf(c_35385,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_21824]) ).
tcf(c_35386,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_21824]) ).
tcf(c_35387,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_21824]) ).
tcf(c_35388,plain,
( ( nil = sK56 )
| ( app(tl(sK56),nil) = tl(app(sK56,nil)) ) ),
inference(superposition,[status(thm)],[c_141,c_21824]) ).
tcf(c_35389,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_21824]) ).
tcf(c_35390,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_21824]) ).
tcf(c_35391,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_21824]) ).
tcf(c_35392,plain,
( ( nil = sK56 )
| ( app(tl(sK56),sK56) = tl(app(sK56,sK56)) ) ),
inference(superposition,[status(thm)],[c_9004,c_21824]) ).
tcf(c_35393,plain,
( ( nil = sK56 )
| ( app(tl(sK56),sK59) = tl(app(sK56,sK59)) ) ),
inference(superposition,[status(thm)],[c_9003,c_21824]) ).
tcf(c_35394,plain,
( ( nil = sK56 )
| ( app(tl(sK56),sK58) = tl(app(sK56,sK58)) ) ),
inference(superposition,[status(thm)],[c_9000,c_21824]) ).
tcf(c_35395,plain,
( ( nil = sK56 )
| ( app(tl(sK56),iPr_def_12) = tl(app(sK56,iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_12995,c_21824]) ).
tcf(c_35396,plain,
( ( nil = sK56 )
| ( app(tl(sK56),iPr_def_11) = tl(app(sK56,iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_12859,c_21824]) ).
tcf(c_35397,plain,
( ( nil = sK56 )
| ( app(tl(sK56),iPr_def_10) = tl(app(sK56,iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_18402,c_21824]) ).
tcf(c_35398,plain,
( ( nil = sK56 )
| ( app(tl(sK56),tl(sK56)) = tl(app(sK56,tl(sK56))) ) ),
inference(superposition,[status(thm)],[c_15456,c_21824]) ).
tcf(c_35399,plain,
( ( nil = sK59 )
| ( nil = sK56 )
| ( app(tl(sK56),tl(sK59)) = tl(app(sK56,tl(sK59))) ) ),
inference(superposition,[status(thm)],[c_15493,c_21824]) ).
tcf(c_35400,plain,
( ( nil = sK58 )
| ( nil = sK56 )
| ( app(tl(sK56),tl(sK58)) = tl(app(sK56,tl(sK58))) ) ),
inference(superposition,[status(thm)],[c_15877,c_21824]) ).
tcf(c_35401,plain,
( ( nil = sK56 )
| ( app(tl(sK56),tl(iPr_def_10)) = tl(app(sK56,tl(iPr_def_10))) ) ),
inference(superposition,[status(thm)],[c_27333,c_21824]) ).
tcf(c_35402,plain,
( ( nil = sK56 )
| ( app(tl(sK56),tl(iPr_def_12)) = tl(app(sK56,tl(iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_19130,c_21824]) ).
tcf(c_35888,plain,
( ssList(app(tl(sK56),sK56))
| ( nil = sK56 )
| ( app(sK56,sK56) = nil )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_35392,c_151]) ).
tcf(c_35897,plain,
( ssList(app(tl(sK56),sK59))
| ( nil = sK56 )
| ( app(sK56,sK59) = nil )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_35393,c_151]) ).
tcf(c_35906,plain,
( ssList(app(tl(sK56),sK58))
| ( nil = sK56 )
| ( app(sK56,sK58) = nil )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_35394,c_151]) ).
tcf(c_35911,plain,
cons(sK50(iPr_def_13),sK49(iPr_def_13)) = iPr_def_13,
inference(global_subsumption_just,[status(thm)],[c_15614,c_15614,c_17779,c_17841]) ).
tcf(c_35913,plain,
cons(sK50(iPr_def_10),sK49(iPr_def_10)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_35911,c_18408]) ).
tcf(c_35914,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_35913,c_130]) ).
tcf(c_35915,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_35913,c_122]) ).
tcf(c_35916,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_35913,c_114]) ).
tcf(c_35917,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_35913,c_130]) ).
tcf(c_35921,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_35913,c_54]) ).
tcf(c_35922,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_35913,c_122]) ).
tcf(c_35923,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_35913,c_114]) ).
tcf(c_35927,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_35913,c_137]) ).
tcf(c_35930,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_35913,c_178]) ).
tcf(c_35931,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_35913,c_179]) ).
tcf(c_35932,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_35913,c_27763]) ).
tcf(c_35933,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_35913,c_27753]) ).
tcf(c_35934,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_35913,c_26831]) ).
tcf(c_35935,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_35913,c_144]) ).
tcf(c_35936,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_35913,c_143]) ).
tcf(c_35937,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_35913,c_178]) ).
tcf(c_35938,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_35913,c_179]) ).
tcf(c_35939,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_35913,c_170]) ).
tcf(c_35940,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_35913,c_214]) ).
tcf(c_35941,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_35913,c_208]) ).
tcf(c_35942,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_35913,c_213]) ).
tcf(c_35943,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_35913,c_207]) ).
tcf(c_35945,plain,
( ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ( sK49(iPr_def_10) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_35913,c_142]) ).
tcf(c_35946,plain,
( memberP(iPr_def_10,sK50(iPr_def_10))
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_35913,c_168]) ).
tcf(c_35948,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_35913,c_177]) ).
tcf(c_35949,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_35913,c_169]) ).
tcf(c_35950,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_35913,c_177]) ).
tcf(c_35974,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_35943,c_18406]) ).
tcf(c_35979,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_35942,c_18405]) ).
tcf(c_35994,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_35941,c_18406]) ).
tcf(c_35999,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_35940,c_18405]) ).
tcf(c_36046,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_35921,c_35913]) ).
tcf(c_36100,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_35927,c_35913]) ).
tcf(c_36108,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_35917,c_35913]) ).
tcf(c_36115,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_35914,c_35913]) ).
tcf(c_36122,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_35923,c_35913]) ).
tcf(c_36131,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_35922,c_35913]) ).
tcf(c_36140,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_35916,c_35913]) ).
tcf(c_36149,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_35915,c_35913]) ).
tcf(c_36349,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_21825]) ).
tcf(c_36350,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_21825]) ).
tcf(c_36351,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_21825]) ).
tcf(c_36352,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_21825]) ).
tcf(c_36353,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_21825]) ).
tcf(c_36354,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_21825]) ).
tcf(c_36355,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_21825]) ).
tcf(c_36365,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_21825]) ).
tcf(c_36366,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_21825]) ).
tcf(c_36367,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_21825]) ).
tcf(c_36368,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_21825]) ).
tcf(c_36369,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_21825]) ).
tcf(c_36370,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_21825]) ).
tcf(c_36371,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_21825]) ).
tcf(c_36372,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_21825]) ).
tcf(c_36373,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_21825]) ).
tcf(c_36374,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_21825]) ).
tcf(c_36375,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_21825]) ).
tcf(c_36376,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_21825]) ).
tcf(c_36377,plain,
( ( nil = sK59 )
| ( app(tl(sK59),nil) = tl(app(sK59,nil)) ) ),
inference(superposition,[status(thm)],[c_141,c_21825]) ).
tcf(c_36378,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_21825]) ).
tcf(c_36379,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_21825]) ).
tcf(c_36380,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_21825]) ).
tcf(c_36381,plain,
( ( nil = sK59 )
| ( app(tl(sK59),sK56) = tl(app(sK59,sK56)) ) ),
inference(superposition,[status(thm)],[c_9004,c_21825]) ).
tcf(c_36382,plain,
( ( nil = sK59 )
| ( app(tl(sK59),sK59) = tl(app(sK59,sK59)) ) ),
inference(superposition,[status(thm)],[c_9003,c_21825]) ).
tcf(c_36383,plain,
( ( nil = sK59 )
| ( app(tl(sK59),sK58) = tl(app(sK59,sK58)) ) ),
inference(superposition,[status(thm)],[c_9000,c_21825]) ).
tcf(c_36384,plain,
( ( nil = sK59 )
| ( app(tl(sK59),iPr_def_12) = tl(app(sK59,iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_12995,c_21825]) ).
tcf(c_36385,plain,
( ( nil = sK59 )
| ( app(tl(sK59),iPr_def_11) = tl(app(sK59,iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_12859,c_21825]) ).
tcf(c_36386,plain,
( ( nil = sK59 )
| ( app(tl(sK59),iPr_def_10) = tl(app(sK59,iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_18402,c_21825]) ).
tcf(c_36387,plain,
( ( nil = sK59 )
| ( nil = sK56 )
| ( app(tl(sK59),tl(sK56)) = tl(app(sK59,tl(sK56))) ) ),
inference(superposition,[status(thm)],[c_15456,c_21825]) ).
tcf(c_36388,plain,
( ( nil = sK59 )
| ( app(tl(sK59),tl(sK59)) = tl(app(sK59,tl(sK59))) ) ),
inference(superposition,[status(thm)],[c_15493,c_21825]) ).
tcf(c_36389,plain,
( ( nil = sK58 )
| ( nil = sK59 )
| ( app(tl(sK59),tl(sK58)) = tl(app(sK59,tl(sK58))) ) ),
inference(superposition,[status(thm)],[c_15877,c_21825]) ).
tcf(c_36390,plain,
( ( nil = sK59 )
| ( app(tl(sK59),tl(iPr_def_10)) = tl(app(sK59,tl(iPr_def_10))) ) ),
inference(superposition,[status(thm)],[c_27333,c_21825]) ).
tcf(c_36391,plain,
( ( nil = sK59 )
| ( app(tl(sK59),tl(iPr_def_12)) = tl(app(sK59,tl(iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_19130,c_21825]) ).
tcf(c_36607,plain,
( ssList(app(tl(sK59),sK56))
| ( nil = sK59 )
| ( app(sK59,sK56) = nil )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_36381,c_151]) ).
tcf(c_36616,plain,
( ssList(app(tl(sK59),sK59))
| ( nil = sK59 )
| ( app(sK59,sK59) = nil )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_36382,c_151]) ).
tcf(c_36625,plain,
( ssList(app(tl(sK59),sK58))
| ( nil = sK59 )
| ( app(sK59,sK58) = nil )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_36383,c_151]) ).
tcf(c_36636,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_21826]) ).
tcf(c_36637,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_21826]) ).
tcf(c_36638,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_21826]) ).
tcf(c_36639,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_21826]) ).
tcf(c_36640,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_21826]) ).
tcf(c_36641,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_21826]) ).
tcf(c_36642,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_21826]) ).
tcf(c_36652,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_21826]) ).
tcf(c_36653,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_21826]) ).
tcf(c_36654,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_21826]) ).
tcf(c_36655,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_21826]) ).
tcf(c_36656,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_21826]) ).
tcf(c_36657,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_21826]) ).
tcf(c_36658,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_21826]) ).
tcf(c_36659,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_21826]) ).
tcf(c_36660,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_21826]) ).
tcf(c_36661,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_21826]) ).
tcf(c_36662,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_21826]) ).
tcf(c_36663,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_21826]) ).
tcf(c_36664,plain,
( ( nil = sK58 )
| ( app(tl(sK58),nil) = tl(app(sK58,nil)) ) ),
inference(superposition,[status(thm)],[c_141,c_21826]) ).
tcf(c_36665,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_21826]) ).
tcf(c_36666,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_21826]) ).
tcf(c_36667,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_21826]) ).
tcf(c_36668,plain,
( ( nil = sK58 )
| ( app(tl(sK58),sK56) = tl(app(sK58,sK56)) ) ),
inference(superposition,[status(thm)],[c_9004,c_21826]) ).
tcf(c_36669,plain,
( ( nil = sK58 )
| ( app(tl(sK58),sK59) = tl(app(sK58,sK59)) ) ),
inference(superposition,[status(thm)],[c_9003,c_21826]) ).
tcf(c_36670,plain,
( ( nil = sK58 )
| ( app(tl(sK58),sK58) = tl(app(sK58,sK58)) ) ),
inference(superposition,[status(thm)],[c_9000,c_21826]) ).
tcf(c_36671,plain,
( ( nil = sK58 )
| ( app(tl(sK58),iPr_def_12) = tl(app(sK58,iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_12995,c_21826]) ).
tcf(c_36672,plain,
( ( nil = sK58 )
| ( app(tl(sK58),iPr_def_11) = tl(app(sK58,iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_12859,c_21826]) ).
tcf(c_36673,plain,
( ( nil = sK58 )
| ( app(tl(sK58),iPr_def_10) = tl(app(sK58,iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_18402,c_21826]) ).
tcf(c_36674,plain,
( ( nil = sK58 )
| ( nil = sK56 )
| ( app(tl(sK58),tl(sK56)) = tl(app(sK58,tl(sK56))) ) ),
inference(superposition,[status(thm)],[c_15456,c_21826]) ).
tcf(c_36675,plain,
( ( nil = sK58 )
| ( nil = sK59 )
| ( app(tl(sK58),tl(sK59)) = tl(app(sK58,tl(sK59))) ) ),
inference(superposition,[status(thm)],[c_15493,c_21826]) ).
tcf(c_36676,plain,
( ( nil = sK58 )
| ( app(tl(sK58),tl(sK58)) = tl(app(sK58,tl(sK58))) ) ),
inference(superposition,[status(thm)],[c_15877,c_21826]) ).
tcf(c_36677,plain,
( ( nil = sK58 )
| ( app(tl(sK58),tl(iPr_def_10)) = tl(app(sK58,tl(iPr_def_10))) ) ),
inference(superposition,[status(thm)],[c_27333,c_21826]) ).
tcf(c_36678,plain,
( ( nil = sK58 )
| ( app(tl(sK58),tl(iPr_def_12)) = tl(app(sK58,tl(iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_19130,c_21826]) ).
tcf(c_36681,plain,
( ( nil = sK58 )
| ( app(tl(sK58),iPr_def_11) = tl(iPr_def_12) ) ),
inference(light_normalisation,[status(thm)],[c_36672,c_8988]) ).
tcf(c_36948,plain,
( ssList(app(tl(sK58),sK56))
| ( nil = sK58 )
| ( app(sK58,sK56) = nil )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_36668,c_151]) ).
tcf(c_36957,plain,
( ssList(app(tl(sK58),sK59))
| ( nil = sK58 )
| ( app(sK58,sK59) = nil )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_36669,c_151]) ).
tcf(c_36966,plain,
( ssList(app(tl(sK58),sK58))
| ( nil = sK58 )
| ( app(sK58,sK58) = nil )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_36670,c_151]) ).
tcf(c_36971,plain,
cons(sK50(iPr_def_12),sK49(iPr_def_12)) = iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_15615,c_15615,c_17779]) ).
tcf(c_36973,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_36971,c_130]) ).
tcf(c_36974,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_36971,c_122]) ).
tcf(c_36975,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_36971,c_114]) ).
tcf(c_36976,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_36971,c_130]) ).
tcf(c_36980,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_36971,c_54]) ).
tcf(c_36981,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_36971,c_122]) ).
tcf(c_36982,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_36971,c_114]) ).
tcf(c_36986,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_36971,c_137]) ).
tcf(c_36989,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_36971,c_178]) ).
tcf(c_36990,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_36971,c_179]) ).
tcf(c_36991,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_36971,c_27763]) ).
tcf(c_36992,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_36971,c_27753]) ).
tcf(c_36993,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_36971,c_26831]) ).
tcf(c_36994,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_36971,c_144]) ).
tcf(c_36995,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_36971,c_143]) ).
tcf(c_36996,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_36971,c_178]) ).
tcf(c_36997,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_36971,c_179]) ).
tcf(c_36998,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_36971,c_170]) ).
tcf(c_36999,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_36971,c_214]) ).
tcf(c_37000,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_36971,c_208]) ).
tcf(c_37001,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_36971,c_213]) ).
tcf(c_37002,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_36971,c_207]) ).
tcf(c_37004,plain,
( ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ( sK49(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_36971,c_142]) ).
tcf(c_37005,plain,
( memberP(iPr_def_12,sK50(iPr_def_12))
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_36971,c_168]) ).
tcf(c_37007,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_36971,c_177]) ).
tcf(c_37008,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_36971,c_169]) ).
tcf(c_37009,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_36971,c_177]) ).
tcf(c_37105,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_36980,c_36971]) ).
tcf(c_37159,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_36986,c_36971]) ).
tcf(c_37167,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_36976,c_36971]) ).
tcf(c_37174,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_36973,c_36971]) ).
tcf(c_37181,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_36982,c_36971]) ).
tcf(c_37190,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_36981,c_36971]) ).
tcf(c_37199,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_36975,c_36971]) ).
tcf(c_37208,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_36974,c_36971]) ).
tcf(c_37385,plain,
( ( sK57 = sK60 )
| ~ ssList(nil)
| ~ ssItem(sK60)
| ( iPr_def_10 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_8986,c_27918]) ).
tcf(c_37386,plain,
( ( nil = sK56 )
| ( sK50(sK56) = sK57 )
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ( sK56 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_15611,c_27918]) ).
tcf(c_37387,plain,
( ( nil = sK59 )
| ( sK50(sK59) = sK57 )
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ( sK59 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_15612,c_27918]) ).
tcf(c_37388,plain,
( ( nil = sK58 )
| ( sK50(sK58) = sK57 )
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ( sK58 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_15613,c_27918]) ).
tcf(c_37389,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_36971,c_27918]) ).
tcf(c_37391,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_35913,c_27918]) ).
tcf(c_37392,plain,
( ( nil = sK56 )
| ( hd(sK56) = sK57 )
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ( sK56 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_16390,c_27918]) ).
tcf(c_37393,plain,
( ( nil = sK59 )
| ( hd(sK59) = sK57 )
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ( sK59 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_16391,c_27918]) ).
tcf(c_37394,plain,
( ( nil = sK58 )
| ( hd(sK58) = sK57 )
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ( sK58 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_16392,c_27918]) ).
tcf(c_37395,plain,
( ( sK57 = sK60 )
| ( iPr_def_10 != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37385,c_141,c_18410]) ).
tcf(c_37447,plain,
( ( nil = sK56 )
| ( sK49(sK56) = nil )
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ( sK56 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_15611,c_28016]) ).
tcf(c_37448,plain,
( ( nil = sK59 )
| ( sK49(sK59) = nil )
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ( sK59 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_15612,c_28016]) ).
tcf(c_37449,plain,
( ( nil = sK58 )
| ( sK49(sK58) = nil )
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ( sK58 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_15613,c_28016]) ).
tcf(c_37450,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_36971,c_28016]) ).
tcf(c_37451,plain,
( ( sK49(iPr_def_11) = nil )
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_15620,c_28016]) ).
tcf(c_37452,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_35913,c_28016]) ).
tcf(c_37453,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ( sK56 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_16390,c_28016]) ).
tcf(c_37454,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ( sK59 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_16391,c_28016]) ).
tcf(c_37455,plain,
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ( sK58 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_16392,c_28016]) ).
tcf(c_37503,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_22705]) ).
tcf(c_37504,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_22705]) ).
tcf(c_37505,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_22705]) ).
tcf(c_37506,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_22705]) ).
tcf(c_37507,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_22705]) ).
tcf(c_37508,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_22705]) ).
tcf(c_37509,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_22705]) ).
tcf(c_37519,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_22705]) ).
tcf(c_37520,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_22705]) ).
tcf(c_37521,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_22705]) ).
tcf(c_37522,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_22705]) ).
tcf(c_37523,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_22705]) ).
tcf(c_37524,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_22705]) ).
tcf(c_37525,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_22705]) ).
tcf(c_37526,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_22705]) ).
tcf(c_37527,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_22705]) ).
tcf(c_37528,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_22705]) ).
tcf(c_37529,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_22705]) ).
tcf(c_37530,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_22705]) ).
tcf(c_37531,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,nil)) = app(cons(sK57,X0),nil) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_141,c_22705]) ).
tcf(c_37532,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_22705]) ).
tcf(c_37533,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_22705]) ).
tcf(c_37534,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_22705]) ).
tcf(c_37535,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,sK56)) = app(cons(sK57,X0),sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9004,c_22705]) ).
tcf(c_37536,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,sK59)) = app(cons(sK57,X0),sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9003,c_22705]) ).
tcf(c_37537,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,sK58)) = app(cons(sK57,X0),sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9000,c_22705]) ).
tcf(c_37538,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,iPr_def_12)) = app(cons(sK57,X0),iPr_def_12) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12995,c_22705]) ).
tcf(c_37539,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,iPr_def_11)) = app(cons(sK57,X0),iPr_def_11) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12859,c_22705]) ).
tcf(c_37540,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,iPr_def_10)) = app(cons(sK57,X0),iPr_def_10) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_18402,c_22705]) ).
tcf(c_37541,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( cons(sK57,app(X0,tl(sK56))) = app(cons(sK57,X0),tl(sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15456,c_22705]) ).
tcf(c_37542,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( cons(sK57,app(X0,tl(sK59))) = app(cons(sK57,X0),tl(sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15493,c_22705]) ).
tcf(c_37543,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( cons(sK57,app(X0,tl(sK58))) = app(cons(sK57,X0),tl(sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15877,c_22705]) ).
tcf(c_37544,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_27333,c_22705]) ).
tcf(c_37545,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_19130,c_22705]) ).
tcf(c_38009,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_37535]) ).
tcf(c_38010,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_37535]) ).
tcf(c_38011,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_37535]) ).
tcf(c_38012,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_37535]) ).
tcf(c_38013,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_37535]) ).
tcf(c_38014,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_37535]) ).
tcf(c_38015,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_37535]) ).
tcf(c_38025,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_37535]) ).
tcf(c_38026,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_37535]) ).
tcf(c_38027,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_37535]) ).
tcf(c_38028,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_37535]) ).
tcf(c_38029,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_37535]) ).
tcf(c_38030,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_37535]) ).
tcf(c_38031,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_37535]) ).
tcf(c_38032,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_37535]) ).
tcf(c_38033,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_37535]) ).
tcf(c_38034,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_37535]) ).
tcf(c_38035,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_37535]) ).
tcf(c_38036,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_37535]) ).
tcf(c_38037,plain,
cons(sK57,app(nil,sK56)) = app(cons(sK57,nil),sK56),
inference(superposition,[status(thm)],[c_141,c_37535]) ).
tcf(c_38038,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_37535]) ).
tcf(c_38039,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_37535]) ).
tcf(c_38040,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_37535]) ).
tcf(c_38041,plain,
cons(sK57,app(sK56,sK56)) = app(cons(sK57,sK56),sK56),
inference(superposition,[status(thm)],[c_9004,c_37535]) ).
tcf(c_38042,plain,
cons(sK57,app(sK59,sK56)) = app(cons(sK57,sK59),sK56),
inference(superposition,[status(thm)],[c_9003,c_37535]) ).
tcf(c_38043,plain,
cons(sK57,app(sK58,sK56)) = app(cons(sK57,sK58),sK56),
inference(superposition,[status(thm)],[c_9000,c_37535]) ).
tcf(c_38044,plain,
cons(sK57,app(iPr_def_12,sK56)) = app(cons(sK57,iPr_def_12),sK56),
inference(superposition,[status(thm)],[c_12995,c_37535]) ).
tcf(c_38045,plain,
cons(sK57,app(iPr_def_11,sK56)) = app(cons(sK57,iPr_def_11),sK56),
inference(superposition,[status(thm)],[c_12859,c_37535]) ).
tcf(c_38046,plain,
cons(sK57,app(iPr_def_10,sK56)) = app(cons(sK57,iPr_def_10),sK56),
inference(superposition,[status(thm)],[c_18402,c_37535]) ).
tcf(c_38047,plain,
( ( nil = sK56 )
| ( cons(sK57,app(tl(sK56),sK56)) = app(cons(sK57,tl(sK56)),sK56) ) ),
inference(superposition,[status(thm)],[c_15456,c_37535]) ).
tcf(c_38048,plain,
( ( nil = sK59 )
| ( cons(sK57,app(tl(sK59),sK56)) = app(cons(sK57,tl(sK59)),sK56) ) ),
inference(superposition,[status(thm)],[c_15493,c_37535]) ).
tcf(c_38049,plain,
( ( nil = sK58 )
| ( cons(sK57,app(tl(sK58),sK56)) = app(cons(sK57,tl(sK58)),sK56) ) ),
inference(superposition,[status(thm)],[c_15877,c_37535]) ).
tcf(c_38050,plain,
cons(sK57,app(tl(iPr_def_10),sK56)) = app(cons(sK57,tl(iPr_def_10)),sK56),
inference(superposition,[status(thm)],[c_27333,c_37535]) ).
tcf(c_38051,plain,
cons(sK57,app(tl(iPr_def_12),sK56)) = app(cons(sK57,tl(iPr_def_12)),sK56),
inference(superposition,[status(thm)],[c_19130,c_37535]) ).
tcf(c_38052,plain,
cons(sK57,sK56) = app(iPr_def_11,sK56),
inference(light_normalisation,[status(thm)],[c_38037,c_12690,c_35200]) ).
tcf(c_38216,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_38041,c_67]) ).
tcf(c_38219,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_38041,c_167]) ).
tcf(c_38220,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_38041,c_231]) ).
tcf(c_38221,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_38041,c_230]) ).
tcf(c_38222,plain,
( frontsegP(cons(sK57,app(sK56,sK56)),cons(sK57,sK56))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38041,c_386]) ).
tcf(c_38223,plain,
( rearsegP(cons(sK57,app(sK56,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38041,c_383]) ).
tcf(c_38224,plain,
( ssList(cons(sK57,app(sK56,sK56)))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38041,c_153]) ).
tcf(c_38225,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_38041,c_225]) ).
tcf(c_38226,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_38041,c_226]) ).
tcf(c_38227,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_38041,c_176]) ).
tcf(c_38228,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_38041,c_165]) ).
tcf(c_38229,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_38041,c_193]) ).
tcf(c_38230,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_38041,c_186]) ).
tcf(c_38231,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_38041,c_166]) ).
tcf(c_38232,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_38041,c_25412]) ).
tcf(c_38233,plain,
( ssList(cons(sK57,app(sK56,sK56)))
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38224,c_9004]) ).
tcf(c_38236,plain,
( rearsegP(cons(sK57,app(sK56,sK56)),sK56)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38223,c_9004]) ).
tcf(c_38239,plain,
( frontsegP(cons(sK57,app(sK56,sK56)),cons(sK57,sK56))
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38222,c_9004]) ).
tcf(c_38245,plain,
( ( nil = sK56 )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38221,c_9004]) ).
tcf(c_38249,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38231,c_9004]) ).
tcf(c_38254,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38230,c_9004]) ).
tcf(c_38259,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38220,c_9004]) ).
tcf(c_38263,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK56))
| ~ memberP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38228,c_9004]) ).
tcf(c_38268,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ frontsegP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38227,c_9004]) ).
tcf(c_38273,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK56,sK56)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38229,c_9004]) ).
tcf(c_38279,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(cons(sK57,sK56),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK56))
| ~ memberP(cons(sK57,app(sK56,sK56)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38219,c_9004]) ).
tcf(c_38285,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ( app(cons(sK57,sK56),X0) != cons(sK57,app(sK56,sK56)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38226,c_9004]) ).
tcf(c_38290,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK56)) != app(X0,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38225,c_9004]) ).
tcf(c_38295,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_38216,c_38041]) ).
tcf(c_38296,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK56,sK56)),X0),sK56)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ ssList(app(cons(sK57,app(sK56,sK56)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38295,c_9004]) ).
tcf(c_38372,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)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38233,c_228]) ).
tcf(c_38373,plain,
( ( cons(sK57,app(cons(sK57,app(sK56,sK56)),sK56)) = app(cons(sK57,cons(sK57,app(sK56,sK56))),sK56) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38233,c_37535]) ).
tcf(c_38374,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,app(sK56,sK56)))) = app(cons(sK57,X0),cons(sK57,app(sK56,sK56))) )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38233,c_22705]) ).
tcf(c_38375,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,app(sK56,sK56))) = tl(app(sK58,cons(sK57,app(sK56,sK56)))) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38233,c_21826]) ).
tcf(c_38376,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK56,sK56))) = tl(app(sK59,cons(sK57,app(sK56,sK56)))) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38233,c_21825]) ).
tcf(c_38377,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK56,sK56))) = tl(app(sK56,cons(sK57,app(sK56,sK56)))) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38233,c_21824]) ).
tcf(c_38378,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)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38233,c_124]) ).
tcf(c_38379,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)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38233,c_116]) ).
tcf(c_38380,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)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38233,c_108]) ).
tcf(c_38381,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,app(sK56,sK56)))) = hd(sK58) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38233,c_19350]) ).
tcf(c_38382,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)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38233,c_234]) ).
tcf(c_38383,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK56,sK56)))) = hd(sK59) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38233,c_19349]) ).
tcf(c_38384,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK56,sK56)))) = hd(sK56) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38233,c_19348]) ).
tcf(c_38385,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)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38233,c_132]) ).
tcf(c_38386,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)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38233,c_233]) ).
tcf(c_38387,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)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38233,c_224]) ).
tcf(c_38388,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)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38233,c_147]) ).
tcf(c_38389,plain,
( ( tl(cons(sK57,cons(sK57,app(sK56,sK56)))) = cons(sK57,app(sK56,sK56)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38233,c_14117]) ).
tcf(c_38390,plain,
( ( hd(cons(sK57,cons(sK57,app(sK56,sK56)))) = sK57 )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38233,c_13943]) ).
tcf(c_38391,plain,
( ( cons(sK57,app(sK56,sK56)) = nil )
| ( tl(cons(sK57,app(sK56,sK56))) = sK52(cons(sK57,app(sK56,sK56))) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38233,c_222]) ).
tcf(c_38392,plain,
( ( cons(sK57,app(sK56,sK56)) = nil )
| ( hd(cons(sK57,app(sK56,sK56))) = sK51(cons(sK57,app(sK56,sK56))) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38233,c_220]) ).
tcf(c_38393,plain,
( duplicatefreeP(cons(sK57,app(sK56,sK56)))
| ( sK40(cons(sK57,app(sK56,sK56))) = sK41(cons(sK57,app(sK56,sK56))) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38233,c_123]) ).
tcf(c_38394,plain,
( ( app(cons(sK57,app(sK56,sK56)),nil) = cons(sK57,app(sK56,sK56)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38233,c_232]) ).
tcf(c_38395,plain,
( ( app(nil,cons(sK57,app(sK56,sK56))) = cons(sK57,app(sK56,sK56)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38233,c_155]) ).
tcf(c_38508,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_38042,c_67]) ).
tcf(c_38511,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_38042,c_167]) ).
tcf(c_38512,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_38042,c_231]) ).
tcf(c_38513,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_38042,c_230]) ).
tcf(c_38514,plain,
( frontsegP(cons(sK57,app(sK59,sK56)),cons(sK57,sK59))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38042,c_386]) ).
tcf(c_38515,plain,
( rearsegP(cons(sK57,app(sK59,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38042,c_383]) ).
tcf(c_38516,plain,
( ssList(cons(sK57,app(sK59,sK56)))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38042,c_153]) ).
tcf(c_38517,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_38042,c_225]) ).
tcf(c_38518,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_38042,c_226]) ).
tcf(c_38519,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_38042,c_176]) ).
tcf(c_38520,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_38042,c_165]) ).
tcf(c_38521,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_38042,c_193]) ).
tcf(c_38522,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_38042,c_186]) ).
tcf(c_38523,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_38042,c_166]) ).
tcf(c_38524,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_38042,c_25412]) ).
tcf(c_38525,plain,
( ssList(cons(sK57,app(sK59,sK56)))
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38516,c_9004]) ).
tcf(c_38528,plain,
( rearsegP(cons(sK57,app(sK59,sK56)),sK56)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38515,c_9004]) ).
tcf(c_38531,plain,
( frontsegP(cons(sK57,app(sK59,sK56)),cons(sK57,sK59))
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38514,c_9004]) ).
tcf(c_38537,plain,
( ( nil = sK56 )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38513,c_9004]) ).
tcf(c_38541,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38523,c_9004]) ).
tcf(c_38546,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38522,c_9004]) ).
tcf(c_38551,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38512,c_9004]) ).
tcf(c_38555,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK59))
| ~ memberP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38520,c_9004]) ).
tcf(c_38560,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ frontsegP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38519,c_9004]) ).
tcf(c_38565,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK59,sK56)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38521,c_9004]) ).
tcf(c_38571,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(cons(sK57,sK59),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK59))
| ~ memberP(cons(sK57,app(sK59,sK56)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38511,c_9004]) ).
tcf(c_38577,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ( app(cons(sK57,sK59),X0) != cons(sK57,app(sK59,sK56)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38518,c_9004]) ).
tcf(c_38582,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK56)) != app(X0,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38517,c_9004]) ).
tcf(c_38587,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_38508,c_38042]) ).
tcf(c_38588,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK59,sK56)),X0),sK56)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ ssList(app(cons(sK57,app(sK59,sK56)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38587,c_9004]) ).
tcf(c_38635,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)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38525,c_228]) ).
tcf(c_38636,plain,
( ( cons(sK57,app(cons(sK57,app(sK59,sK56)),sK56)) = app(cons(sK57,cons(sK57,app(sK59,sK56))),sK56) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38525,c_37535]) ).
tcf(c_38637,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,app(sK59,sK56)))) = app(cons(sK57,X0),cons(sK57,app(sK59,sK56))) )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38525,c_22705]) ).
tcf(c_38638,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,app(sK59,sK56))) = tl(app(sK58,cons(sK57,app(sK59,sK56)))) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38525,c_21826]) ).
tcf(c_38639,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK59,sK56))) = tl(app(sK59,cons(sK57,app(sK59,sK56)))) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38525,c_21825]) ).
tcf(c_38640,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK59,sK56))) = tl(app(sK56,cons(sK57,app(sK59,sK56)))) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38525,c_21824]) ).
tcf(c_38641,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)) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38525,c_124]) ).
tcf(c_38642,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)) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38525,c_116]) ).
tcf(c_38643,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)) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38525,c_108]) ).
tcf(c_38644,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,app(sK59,sK56)))) = hd(sK58) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38525,c_19350]) ).
tcf(c_38645,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)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38525,c_234]) ).
tcf(c_38646,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK59,sK56)))) = hd(sK59) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38525,c_19349]) ).
tcf(c_38647,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK59,sK56)))) = hd(sK56) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38525,c_19348]) ).
tcf(c_38648,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)) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38525,c_132]) ).
tcf(c_38649,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)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38525,c_233]) ).
tcf(c_38650,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)) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38525,c_224]) ).
tcf(c_38651,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)) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38525,c_147]) ).
tcf(c_38652,plain,
( ( tl(cons(sK57,cons(sK57,app(sK59,sK56)))) = cons(sK57,app(sK59,sK56)) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38525,c_14117]) ).
tcf(c_38653,plain,
( ( hd(cons(sK57,cons(sK57,app(sK59,sK56)))) = sK57 )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38525,c_13943]) ).
tcf(c_38654,plain,
( ( cons(sK57,app(sK59,sK56)) = nil )
| ( tl(cons(sK57,app(sK59,sK56))) = sK52(cons(sK57,app(sK59,sK56))) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38525,c_222]) ).
tcf(c_38655,plain,
( ( cons(sK57,app(sK59,sK56)) = nil )
| ( hd(cons(sK57,app(sK59,sK56))) = sK51(cons(sK57,app(sK59,sK56))) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38525,c_220]) ).
tcf(c_38656,plain,
( duplicatefreeP(cons(sK57,app(sK59,sK56)))
| ( sK40(cons(sK57,app(sK59,sK56))) = sK41(cons(sK57,app(sK59,sK56))) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38525,c_123]) ).
tcf(c_38657,plain,
( ( app(cons(sK57,app(sK59,sK56)),nil) = cons(sK57,app(sK59,sK56)) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38525,c_232]) ).
tcf(c_38658,plain,
( ( app(nil,cons(sK57,app(sK59,sK56))) = cons(sK57,app(sK59,sK56)) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38525,c_155]) ).
tcf(c_38952,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_38052,c_67]) ).
tcf(c_38955,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_38052,c_167]) ).
tcf(c_38956,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK56)
| ( cons(sK57,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_38052,c_231]) ).
tcf(c_38957,plain,
( ( nil = sK56 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK56)
| ( cons(sK57,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_38052,c_230]) ).
tcf(c_38958,plain,
( frontsegP(cons(sK57,sK56),iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_38052,c_386]) ).
tcf(c_38959,plain,
( rearsegP(cons(sK57,sK56),sK56)
| ~ ssList(iPr_def_11)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_38052,c_383]) ).
tcf(c_38960,plain,
( ssList(cons(sK57,sK56))
| ~ ssList(iPr_def_11)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_38052,c_153]) ).
tcf(c_38961,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_38052,c_225]) ).
tcf(c_38962,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_38052,c_226]) ).
tcf(c_38963,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_38052,c_176]) ).
tcf(c_38964,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_38052,c_165]) ).
tcf(c_38965,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_38052,c_193]) ).
tcf(c_38966,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK56),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(superposition,[status(thm)],[c_38052,c_186]) ).
tcf(c_38967,plain,
! [X0: $i] :
( memberP(cons(sK57,sK56),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(superposition,[status(thm)],[c_38052,c_166]) ).
tcf(c_38968,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ( cons(sK57,sK56) != sK56 ) ),
inference(superposition,[status(thm)],[c_38052,c_25412]) ).
tcf(c_38969,plain,
ssList(cons(sK57,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_38960,c_12859,c_9004]) ).
tcf(c_38970,plain,
rearsegP(cons(sK57,sK56),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_38959,c_12859,c_9004]) ).
tcf(c_38971,plain,
frontsegP(cons(sK57,sK56),iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_38958,c_12859,c_9004]) ).
tcf(c_38972,plain,
cons(sK57,sK56) != sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_38968,c_13900,c_12859]) ).
tcf(c_38976,plain,
cons(sK57,sK56) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_38956,c_13900,c_12859,c_9004]) ).
tcf(c_38977,plain,
! [X0: $i] :
( memberP(cons(sK57,sK56),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38967,c_12859,c_9004]) ).
tcf(c_38981,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK56),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38966,c_12859,c_9004]) ).
tcf(c_38985,plain,
! [X0: $i] :
( memberP(cons(sK57,sK56),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38964,c_12859,c_9004]) ).
tcf(c_38989,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38963,c_12859,c_9004]) ).
tcf(c_38993,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_38955,c_12859,c_9004]) ).
tcf(c_38998,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38962,c_12859,c_9004]) ).
tcf(c_39002,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(X0,sK56) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38961,c_12859,c_9004]) ).
tcf(c_39006,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_38965,c_12859,c_9004]) ).
tcf(c_39011,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_38952,c_38052]) ).
tcf(c_39012,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_39011,c_12859,c_9004]) ).
tcf(c_39016,plain,
ssList(cons(sK57,app(sK56,sK56))),
inference(backward_subsumption_resolution,[status(thm)],[c_38233,c_38969]) ).
tcf(c_39033,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_38969,c_228]) ).
tcf(c_39034,plain,
cons(sK57,app(cons(sK57,sK56),sK56)) = app(cons(sK57,cons(sK57,sK56)),sK56),
inference(superposition,[status(thm)],[c_38969,c_37535]) ).
tcf(c_39035,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,sK56))) = app(cons(sK57,X0),cons(sK57,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_38969,c_22705]) ).
tcf(c_39036,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,sK56)) = tl(app(sK58,cons(sK57,sK56))) ) ),
inference(superposition,[status(thm)],[c_38969,c_21826]) ).
tcf(c_39037,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,sK56)) = tl(app(sK59,cons(sK57,sK56))) ) ),
inference(superposition,[status(thm)],[c_38969,c_21825]) ).
tcf(c_39038,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,sK56)) = tl(app(sK56,cons(sK57,sK56))) ) ),
inference(superposition,[status(thm)],[c_38969,c_21824]) ).
tcf(c_39039,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_38969,c_124]) ).
tcf(c_39040,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_38969,c_116]) ).
tcf(c_39041,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_38969,c_108]) ).
tcf(c_39042,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,sK56))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_38969,c_19350]) ).
tcf(c_39043,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_38969,c_234]) ).
tcf(c_39044,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,sK56))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_38969,c_19349]) ).
tcf(c_39045,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,sK56))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_38969,c_19348]) ).
tcf(c_39046,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_38969,c_132]) ).
tcf(c_39047,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = nil )
| ( hd(app(cons(sK57,sK56),X0)) = hd(cons(sK57,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_38969,c_233]) ).
tcf(c_39048,plain,
( ( cons(sK57,sK56) = nil )
| ( cons(hd(cons(sK57,sK56)),tl(cons(sK57,sK56))) = cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_38969,c_224]) ).
tcf(c_39049,plain,
( ( cons(sK57,sK56) = nil )
| ( cons(sK50(cons(sK57,sK56)),sK49(cons(sK57,sK56))) = cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_38969,c_147]) ).
tcf(c_39050,plain,
tl(cons(sK57,cons(sK57,sK56))) = cons(sK57,sK56),
inference(superposition,[status(thm)],[c_38969,c_14117]) ).
tcf(c_39051,plain,
hd(cons(sK57,cons(sK57,sK56))) = sK57,
inference(superposition,[status(thm)],[c_38969,c_13943]) ).
tcf(c_39052,plain,
( ( cons(sK57,sK56) = nil )
| ( tl(cons(sK57,sK56)) = sK52(cons(sK57,sK56)) ) ),
inference(superposition,[status(thm)],[c_38969,c_222]) ).
tcf(c_39053,plain,
( ( cons(sK57,sK56) = nil )
| ( hd(cons(sK57,sK56)) = sK51(cons(sK57,sK56)) ) ),
inference(superposition,[status(thm)],[c_38969,c_220]) ).
tcf(c_39054,plain,
( duplicatefreeP(cons(sK57,sK56))
| ( sK40(cons(sK57,sK56)) = sK41(cons(sK57,sK56)) ) ),
inference(superposition,[status(thm)],[c_38969,c_123]) ).
tcf(c_39055,plain,
app(cons(sK57,sK56),nil) = cons(sK57,sK56),
inference(superposition,[status(thm)],[c_38969,c_232]) ).
tcf(c_39056,plain,
app(nil,cons(sK57,sK56)) = cons(sK57,sK56),
inference(superposition,[status(thm)],[c_38969,c_155]) ).
tcf(c_39065,plain,
( ( cons(sK57,sK56) = nil )
| ( sK51(cons(sK57,sK56)) = sK57 ) ),
inference(light_normalisation,[status(thm)],[c_39053,c_14787]) ).
tcf(c_39068,plain,
( ( cons(sK57,sK56) = nil )
| ( sK52(cons(sK57,sK56)) = sK56 ) ),
inference(light_normalisation,[status(thm)],[c_39052,c_14959]) ).
tcf(c_39071,plain,
cons(sK57,cons(sK57,app(sK56,sK56))) = app(cons(sK57,cons(sK57,sK56)),sK56),
inference(light_normalisation,[status(thm)],[c_39034,c_38041]) ).
tcf(c_39083,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = nil )
| ( hd(app(cons(sK57,sK56),X0)) = sK57 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_39047,c_14787]) ).
tcf(c_39090,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = nil )
| ( tl(app(cons(sK57,sK56),X0)) = app(sK56,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_39043,c_14959]) ).
tcf(c_39132,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK56),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38970,c_183]) ).
tcf(c_39133,plain,
( ( cons(sK57,sK56) = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56))
| ~ rearsegP(sK56,cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38970,c_184]) ).
tcf(c_39134,plain,
( ( app(sK12(cons(sK57,sK56),sK56),sK56) = cons(sK57,sK56) )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_38970,c_66]) ).
tcf(c_39135,plain,
app(sK12(cons(sK57,sK56),sK56),sK56) = cons(sK57,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_39134,c_9004,c_38969]) ).
tcf(c_39136,plain,
( ( cons(sK57,sK56) = sK56 )
| ~ rearsegP(sK56,cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39133,c_9004,c_38969]) ).
tcf(c_39140,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_38971,c_173]) ).
tcf(c_39141,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_38971,c_174]) ).
tcf(c_39142,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_38971,c_63]) ).
tcf(c_39144,plain,
app(iPr_def_11,sK11(cons(sK57,sK56),iPr_def_11)) = cons(sK57,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_39142,c_12859,c_38969]) ).
tcf(c_39145,plain,
( ( cons(sK57,sK56) = iPr_def_11 )
| ~ frontsegP(iPr_def_11,cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39141,c_12859,c_38969]) ).
tcf(c_39149,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_39016,c_228]) ).
tcf(c_39150,plain,
cons(sK57,app(cons(sK57,app(sK56,sK56)),sK56)) = app(cons(sK57,cons(sK57,app(sK56,sK56))),sK56),
inference(superposition,[status(thm)],[c_39016,c_37535]) ).
tcf(c_39151,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_39016,c_22705]) ).
tcf(c_39152,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,app(sK56,sK56))) = tl(app(sK58,cons(sK57,app(sK56,sK56)))) ) ),
inference(superposition,[status(thm)],[c_39016,c_21826]) ).
tcf(c_39153,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK56,sK56))) = tl(app(sK59,cons(sK57,app(sK56,sK56)))) ) ),
inference(superposition,[status(thm)],[c_39016,c_21825]) ).
tcf(c_39154,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK56,sK56))) = tl(app(sK56,cons(sK57,app(sK56,sK56)))) ) ),
inference(superposition,[status(thm)],[c_39016,c_21824]) ).
tcf(c_39155,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_39016,c_124]) ).
tcf(c_39156,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_39016,c_116]) ).
tcf(c_39157,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_39016,c_108]) ).
tcf(c_39158,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,app(sK56,sK56)))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_39016,c_19350]) ).
tcf(c_39159,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_39016,c_234]) ).
tcf(c_39160,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK56,sK56)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_39016,c_19349]) ).
tcf(c_39161,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK56,sK56)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_39016,c_19348]) ).
tcf(c_39162,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_39016,c_132]) ).
tcf(c_39163,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_39016,c_233]) ).
tcf(c_39164,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_39016,c_224]) ).
tcf(c_39165,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_39016,c_147]) ).
tcf(c_39166,plain,
tl(cons(sK57,cons(sK57,app(sK56,sK56)))) = cons(sK57,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_39016,c_14117]) ).
tcf(c_39167,plain,
hd(cons(sK57,cons(sK57,app(sK56,sK56)))) = sK57,
inference(superposition,[status(thm)],[c_39016,c_13943]) ).
tcf(c_39168,plain,
( ( cons(sK57,app(sK56,sK56)) = nil )
| ( tl(cons(sK57,app(sK56,sK56))) = sK52(cons(sK57,app(sK56,sK56))) ) ),
inference(superposition,[status(thm)],[c_39016,c_222]) ).
tcf(c_39169,plain,
( ( cons(sK57,app(sK56,sK56)) = nil )
| ( hd(cons(sK57,app(sK56,sK56))) = sK51(cons(sK57,app(sK56,sK56))) ) ),
inference(superposition,[status(thm)],[c_39016,c_220]) ).
tcf(c_39170,plain,
( duplicatefreeP(cons(sK57,app(sK56,sK56)))
| ( sK40(cons(sK57,app(sK56,sK56))) = sK41(cons(sK57,app(sK56,sK56))) ) ),
inference(superposition,[status(thm)],[c_39016,c_123]) ).
tcf(c_39171,plain,
app(cons(sK57,app(sK56,sK56)),nil) = cons(sK57,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_39016,c_232]) ).
tcf(c_39172,plain,
app(nil,cons(sK57,app(sK56,sK56))) = cons(sK57,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_39016,c_155]) ).
tcf(c_39250,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_38043,c_67]) ).
tcf(c_39253,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_38043,c_167]) ).
tcf(c_39254,plain,
( ( cons(sK57,sK58) = nil )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_38043,c_231]) ).
tcf(c_39255,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_38043,c_230]) ).
tcf(c_39256,plain,
( frontsegP(cons(sK57,app(sK58,sK56)),cons(sK57,sK58))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38043,c_386]) ).
tcf(c_39257,plain,
( rearsegP(cons(sK57,app(sK58,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38043,c_383]) ).
tcf(c_39258,plain,
( ssList(cons(sK57,app(sK58,sK56)))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38043,c_153]) ).
tcf(c_39259,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_38043,c_225]) ).
tcf(c_39260,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_38043,c_226]) ).
tcf(c_39261,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_38043,c_176]) ).
tcf(c_39262,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_38043,c_165]) ).
tcf(c_39263,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_38043,c_193]) ).
tcf(c_39264,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_38043,c_186]) ).
tcf(c_39265,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_38043,c_166]) ).
tcf(c_39266,plain,
( ( cons(sK57,sK58) = nil )
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_38043,c_25412]) ).
tcf(c_39267,plain,
( ssList(cons(sK57,app(sK58,sK56)))
| ~ ssList(cons(sK57,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39258,c_9004]) ).
tcf(c_39270,plain,
( rearsegP(cons(sK57,app(sK58,sK56)),sK56)
| ~ ssList(cons(sK57,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39257,c_9004]) ).
tcf(c_39273,plain,
( frontsegP(cons(sK57,app(sK58,sK56)),cons(sK57,sK58))
| ~ ssList(cons(sK57,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39256,c_9004]) ).
tcf(c_39279,plain,
( ( nil = sK56 )
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39255,c_9004]) ).
tcf(c_39283,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39265,c_9004]) ).
tcf(c_39288,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39264,c_9004]) ).
tcf(c_39293,plain,
( ( cons(sK57,sK58) = nil )
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39254,c_9004]) ).
tcf(c_39297,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK58))
| ~ memberP(cons(sK57,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39262,c_9004]) ).
tcf(c_39302,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ~ frontsegP(cons(sK57,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39261,c_9004]) ).
tcf(c_39307,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK58,sK56)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39263,c_9004]) ).
tcf(c_39313,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(cons(sK57,sK58),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK58))
| ~ memberP(cons(sK57,app(sK58,sK56)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39253,c_9004]) ).
tcf(c_39319,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ( app(cons(sK57,sK58),X0) != cons(sK57,app(sK58,sK56)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39260,c_9004]) ).
tcf(c_39324,plain,
! [X0: $i] :
( ( cons(sK57,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK56)) != app(X0,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39259,c_9004]) ).
tcf(c_39329,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_39250,c_38043]) ).
tcf(c_39330,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK58,sK56)),X0),sK56)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ~ ssList(app(cons(sK57,app(sK58,sK56)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39329,c_9004]) ).
tcf(c_39368,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)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_228]) ).
tcf(c_39369,plain,
( ( cons(sK57,app(cons(sK57,app(sK58,sK56)),sK56)) = app(cons(sK57,cons(sK57,app(sK58,sK56))),sK56) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_37535]) ).
tcf(c_39370,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,app(sK58,sK56)))) = app(cons(sK57,X0),cons(sK57,app(sK58,sK56))) )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_22705]) ).
tcf(c_39371,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,app(sK58,sK56))) = tl(app(sK58,cons(sK57,app(sK58,sK56)))) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_21826]) ).
tcf(c_39372,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK58,sK56))) = tl(app(sK59,cons(sK57,app(sK58,sK56)))) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_21825]) ).
tcf(c_39373,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK58,sK56))) = tl(app(sK56,cons(sK57,app(sK58,sK56)))) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_21824]) ).
tcf(c_39374,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)) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_124]) ).
tcf(c_39375,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)) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_116]) ).
tcf(c_39376,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)) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_108]) ).
tcf(c_39377,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,app(sK58,sK56)))) = hd(sK58) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_19350]) ).
tcf(c_39378,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)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_234]) ).
tcf(c_39379,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK58,sK56)))) = hd(sK59) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_19349]) ).
tcf(c_39380,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK58,sK56)))) = hd(sK56) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_19348]) ).
tcf(c_39381,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)) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_132]) ).
tcf(c_39382,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)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_233]) ).
tcf(c_39383,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)) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_224]) ).
tcf(c_39384,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)) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_147]) ).
tcf(c_39385,plain,
( ( tl(cons(sK57,cons(sK57,app(sK58,sK56)))) = cons(sK57,app(sK58,sK56)) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_14117]) ).
tcf(c_39386,plain,
( ( hd(cons(sK57,cons(sK57,app(sK58,sK56)))) = sK57 )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_13943]) ).
tcf(c_39387,plain,
( ( cons(sK57,app(sK58,sK56)) = nil )
| ( tl(cons(sK57,app(sK58,sK56))) = sK52(cons(sK57,app(sK58,sK56))) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_222]) ).
tcf(c_39388,plain,
( ( cons(sK57,app(sK58,sK56)) = nil )
| ( hd(cons(sK57,app(sK58,sK56))) = sK51(cons(sK57,app(sK58,sK56))) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_220]) ).
tcf(c_39389,plain,
( duplicatefreeP(cons(sK57,app(sK58,sK56)))
| ( sK40(cons(sK57,app(sK58,sK56))) = sK41(cons(sK57,app(sK58,sK56))) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_123]) ).
tcf(c_39390,plain,
( ( app(cons(sK57,app(sK58,sK56)),nil) = cons(sK57,app(sK58,sK56)) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_232]) ).
tcf(c_39391,plain,
( ( app(nil,cons(sK57,app(sK58,sK56))) = cons(sK57,app(sK58,sK56)) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_155]) ).
tcf(c_39510,plain,
rearsegP(cons(sK57,app(sK56,sK56)),sK56),
inference(global_subsumption_just,[status(thm)],[c_38236,c_38236,c_38969]) ).
tcf(c_39512,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_39510,c_183]) ).
tcf(c_39513,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_39510,c_184]) ).
tcf(c_39514,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_39510,c_66]) ).
tcf(c_39515,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39512,c_9004,c_39016]) ).
tcf(c_39519,plain,
app(sK12(cons(sK57,app(sK56,sK56)),sK56),sK56) = cons(sK57,app(sK56,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_39514,c_9004,c_39016]) ).
tcf(c_39520,plain,
( ( cons(sK57,app(sK56,sK56)) = sK56 )
| ~ rearsegP(sK56,cons(sK57,app(sK56,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39513,c_9004,c_39016]) ).
tcf(c_39528,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK57,sK59))
| ~ ssList(cons(sK57,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_38528,c_183]) ).
tcf(c_39529,plain,
( ( cons(sK57,app(sK59,sK56)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK59))
| ~ ssList(cons(sK57,app(sK59,sK56)))
| ~ rearsegP(sK56,cons(sK57,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_38528,c_184]) ).
tcf(c_39530,plain,
( ( app(sK12(cons(sK57,app(sK59,sK56)),sK56),sK56) = cons(sK57,app(sK59,sK56)) )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK59))
| ~ ssList(cons(sK57,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_38528,c_66]) ).
tcf(c_39532,plain,
( ( app(sK12(cons(sK57,app(sK59,sK56)),sK56),sK56) = cons(sK57,app(sK59,sK56)) )
| ~ ssList(cons(sK57,sK59))
| ~ ssList(cons(sK57,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39530,c_9004]) ).
tcf(c_39536,plain,
( ( cons(sK57,app(sK59,sK56)) = sK56 )
| ~ ssList(cons(sK57,sK59))
| ~ ssList(cons(sK57,app(sK59,sK56)))
| ~ rearsegP(sK56,cons(sK57,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39529,c_9004]) ).
tcf(c_39547,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_38977,c_57]) ).
tcf(c_39548,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_38977,c_12668]) ).
tcf(c_39550,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_39548,c_38969]) ).
tcf(c_39554,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_39547,c_38969]) ).
tcf(c_39566,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_38981,c_183]) ).
tcf(c_39567,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_38981,c_184]) ).
tcf(c_39568,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_38981,c_66]) ).
tcf(c_39569,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_39568,c_38969]) ).
tcf(c_39573,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ rearsegP(X0,cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39567,c_38969]) ).
tcf(c_39578,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_39566,c_38969]) ).
tcf(c_39593,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_38985,c_57]) ).
tcf(c_39594,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_38985,c_12668]) ).
tcf(c_39595,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ( X0 = sK57 )
| ~ ssList(sK56)
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_38985,c_170]) ).
tcf(c_39597,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_39594,c_38969]) ).
tcf(c_39601,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_39593,c_38969]) ).
tcf(c_39613,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_38989,c_173]) ).
tcf(c_39614,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_38989,c_174]) ).
tcf(c_39615,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_38989,c_63]) ).
tcf(c_39616,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_38989,c_178]) ).
tcf(c_39617,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_38989,c_179]) ).
tcf(c_39619,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_39615,c_38969]) ).
tcf(c_39623,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_39614,c_38969]) ).
tcf(c_39628,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_39613,c_38969]) ).
tcf(c_39634,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_39617,c_9004,c_8999]) ).
tcf(c_39640,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_39616,c_9004,c_8999]) ).
tcf(c_39658,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_39051,c_223]) ).
tcf(c_39659,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_39051,c_212]) ).
tcf(c_39660,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_39051,c_206]) ).
tcf(c_39673,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_39658,c_39050]) ).
tcf(c_39729,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_13923]) ).
tcf(c_39730,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_13923]) ).
tcf(c_39731,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK6,app(X0,X1))) = sK6 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_13923]) ).
tcf(c_39732,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_13923]) ).
tcf(c_39733,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_13923]) ).
tcf(c_39734,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_13923]) ).
tcf(c_39735,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_13923]) ).
tcf(c_39745,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK6,sK34(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_13923]) ).
tcf(c_39746,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK6,sK33(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_13923]) ).
tcf(c_39747,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK6,sK32(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_13923]) ).
tcf(c_39748,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK6,sK39(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_13923]) ).
tcf(c_39749,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK6,sK38(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_13923]) ).
tcf(c_39750,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK6,sK37(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_13923]) ).
tcf(c_39751,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK6,sK44(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_13923]) ).
tcf(c_39752,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK6,sK43(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_13923]) ).
tcf(c_39753,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK6,sK42(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_13923]) ).
tcf(c_39754,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(cons(sK6,sK48(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_13923]) ).
tcf(c_39755,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(cons(sK6,sK47(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_13923]) ).
tcf(c_39756,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK6,cons(X0,X1))) = sK6 )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_13923]) ).
tcf(c_39757,plain,
hd(cons(sK6,nil)) = sK6,
inference(superposition,[status(thm)],[c_141,c_13923]) ).
tcf(c_39758,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK6,sK49(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_13923]) ).
tcf(c_39759,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK6,tl(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_13923]) ).
tcf(c_39760,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK6,sK52(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_13923]) ).
tcf(c_39761,plain,
hd(cons(sK6,sK56)) = sK6,
inference(superposition,[status(thm)],[c_9004,c_13923]) ).
tcf(c_39762,plain,
hd(cons(sK6,sK59)) = sK6,
inference(superposition,[status(thm)],[c_9003,c_13923]) ).
tcf(c_39763,plain,
hd(cons(sK6,sK58)) = sK6,
inference(superposition,[status(thm)],[c_9000,c_13923]) ).
tcf(c_39764,plain,
hd(cons(sK6,iPr_def_12)) = sK6,
inference(superposition,[status(thm)],[c_12995,c_13923]) ).
tcf(c_39765,plain,
hd(cons(sK6,iPr_def_11)) = sK6,
inference(superposition,[status(thm)],[c_12859,c_13923]) ).
tcf(c_39766,plain,
hd(cons(sK6,iPr_def_10)) = sK6,
inference(superposition,[status(thm)],[c_18402,c_13923]) ).
tcf(c_39767,plain,
hd(cons(sK6,cons(sK57,sK56))) = sK6,
inference(superposition,[status(thm)],[c_38969,c_13923]) ).
tcf(c_39768,plain,
( ( nil = sK56 )
| ( hd(cons(sK6,tl(sK56))) = sK6 ) ),
inference(superposition,[status(thm)],[c_15456,c_13923]) ).
tcf(c_39769,plain,
( ( nil = sK59 )
| ( hd(cons(sK6,tl(sK59))) = sK6 ) ),
inference(superposition,[status(thm)],[c_15493,c_13923]) ).
tcf(c_39770,plain,
( ( nil = sK58 )
| ( hd(cons(sK6,tl(sK58))) = sK6 ) ),
inference(superposition,[status(thm)],[c_15877,c_13923]) ).
tcf(c_39771,plain,
hd(cons(sK6,tl(iPr_def_10))) = sK6,
inference(superposition,[status(thm)],[c_27333,c_13923]) ).
tcf(c_39772,plain,
hd(cons(sK6,tl(iPr_def_12))) = sK6,
inference(superposition,[status(thm)],[c_19130,c_13923]) ).
tcf(c_39773,plain,
hd(cons(sK6,cons(sK57,app(sK56,sK56)))) = sK6,
inference(superposition,[status(thm)],[c_39016,c_13923]) ).
tcf(c_39774,plain,
( ( hd(cons(sK6,cons(sK57,app(sK59,sK56)))) = sK6 )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38525,c_13923]) ).
tcf(c_39775,plain,
( ( hd(cons(sK6,cons(sK57,app(sK58,sK56)))) = sK6 )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_13923]) ).
tcf(c_40132,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_39757,c_223]) ).
tcf(c_40133,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_39757,c_212]) ).
tcf(c_40134,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_39757,c_206]) ).
tcf(c_40158,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_39761,c_223]) ).
tcf(c_40159,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_39761,c_212]) ).
tcf(c_40160,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_39761,c_206]) ).
tcf(c_40184,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_39762,c_223]) ).
tcf(c_40185,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_39762,c_212]) ).
tcf(c_40186,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_39762,c_206]) ).
tcf(c_40226,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_39763,c_223]) ).
tcf(c_40227,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_39763,c_212]) ).
tcf(c_40228,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_39763,c_206]) ).
tcf(c_40250,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_39135,c_67]) ).
tcf(c_40253,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_39135,c_167]) ).
tcf(c_40256,plain,
( frontsegP(cons(sK57,sK56),sK12(cons(sK57,sK56),sK56))
| ~ ssList(sK56)
| ~ ssList(sK12(cons(sK57,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_39135,c_386]) ).
tcf(c_40259,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_39135,c_225]) ).
tcf(c_40260,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_39135,c_226]) ).
tcf(c_40261,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_39135,c_176]) ).
tcf(c_40262,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_39135,c_165]) ).
tcf(c_40263,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_39135,c_193]) ).
tcf(c_40264,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_39135,c_186]) ).
tcf(c_40265,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_39135,c_166]) ).
tcf(c_40267,plain,
( frontsegP(cons(sK57,sK56),sK12(cons(sK57,sK56),sK56))
| ~ ssList(sK12(cons(sK57,sK56),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40256,c_9004]) ).
tcf(c_40272,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_40262,c_9004]) ).
tcf(c_40277,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_40261,c_9004]) ).
tcf(c_40283,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_40253,c_9004]) ).
tcf(c_40289,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_40260,c_9004]) ).
tcf(c_40294,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_40259,c_9004]) ).
tcf(c_40299,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_40250,c_39135]) ).
tcf(c_40300,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_40299,c_9004]) ).
tcf(c_40326,plain,
~ rearsegP(sK56,cons(sK57,sK56)),
inference(global_subsumption_just,[status(thm)],[c_39136,c_38972,c_39136]) ).
tcf(c_40332,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK57,sK58))
| ~ ssList(cons(sK57,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_39270,c_183]) ).
tcf(c_40333,plain,
( ( cons(sK57,app(sK58,sK56)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK58))
| ~ ssList(cons(sK57,app(sK58,sK56)))
| ~ rearsegP(sK56,cons(sK57,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_39270,c_184]) ).
tcf(c_40334,plain,
( ( app(sK12(cons(sK57,app(sK58,sK56)),sK56),sK56) = cons(sK57,app(sK58,sK56)) )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK58))
| ~ ssList(cons(sK57,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_39270,c_66]) ).
tcf(c_40336,plain,
( ( app(sK12(cons(sK57,app(sK58,sK56)),sK56),sK56) = cons(sK57,app(sK58,sK56)) )
| ~ ssList(cons(sK57,sK58))
| ~ ssList(cons(sK57,app(sK58,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40334,c_9004]) ).
tcf(c_40340,plain,
( ( cons(sK57,app(sK58,sK56)) = sK56 )
| ~ ssList(cons(sK57,sK58))
| ~ ssList(cons(sK57,app(sK58,sK56)))
| ~ rearsegP(sK56,cons(sK57,app(sK58,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40333,c_9004]) ).
tcf(c_40345,plain,
frontsegP(cons(sK57,app(sK56,sK56)),cons(sK57,sK56)),
inference(global_subsumption_just,[status(thm)],[c_38239,c_38239,c_38969]) ).
tcf(c_40348,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_40345,c_174]) ).
tcf(c_40349,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_40345,c_63]) ).
tcf(c_40351,plain,
( frontsegP(app(sK56,sK56),sK56)
| ~ ssList(sK56)
| ~ ssItem(sK57)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_40345,c_179]) ).
tcf(c_40352,plain,
( frontsegP(app(sK56,sK56),sK56)
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40351,c_9004,c_8999]) ).
tcf(c_40355,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_40349,c_38969,c_39016]) ).
tcf(c_40356,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_40348,c_38969,c_39016]) ).
tcf(c_40363,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK56),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_40352,c_173]) ).
tcf(c_40364,plain,
( ( app(sK56,sK56) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK56))
| ~ frontsegP(sK56,app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_40352,c_174]) ).
tcf(c_40365,plain,
( ( app(sK56,sK11(app(sK56,sK56),sK56)) = app(sK56,sK56) )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_40352,c_63]) ).
tcf(c_40366,plain,
( ( app(sK56,sK11(app(sK56,sK56),sK56)) = app(sK56,sK56) )
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40365,c_9004]) ).
tcf(c_40369,plain,
( ( app(sK56,sK56) = sK56 )
| ~ ssList(app(sK56,sK56))
| ~ frontsegP(sK56,app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40364,c_9004]) ).
tcf(c_40373,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40363,c_9004]) ).
tcf(c_40390,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_15619,c_130]) ).
tcf(c_40391,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_15619,c_122]) ).
tcf(c_40392,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_15619,c_114]) ).
tcf(c_40393,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_15619,c_130]) ).
tcf(c_40397,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_15619,c_54]) ).
tcf(c_40398,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_15619,c_122]) ).
tcf(c_40399,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_15619,c_114]) ).
tcf(c_40403,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_15619,c_137]) ).
tcf(c_40406,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_15619,c_178]) ).
tcf(c_40407,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_15619,c_179]) ).
tcf(c_40408,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_15619,c_28016]) ).
tcf(c_40409,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_15619,c_27918]) ).
tcf(c_40410,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_15619,c_27763]) ).
tcf(c_40411,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_15619,c_27753]) ).
tcf(c_40412,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_15619,c_26831]) ).
tcf(c_40413,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_15619,c_144]) ).
tcf(c_40414,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_15619,c_143]) ).
tcf(c_40415,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_15619,c_178]) ).
tcf(c_40416,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_15619,c_179]) ).
tcf(c_40417,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_15619,c_170]) ).
tcf(c_40418,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_15619,c_214]) ).
tcf(c_40419,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_15619,c_208]) ).
tcf(c_40420,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_15619,c_213]) ).
tcf(c_40421,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_15619,c_207]) ).
tcf(c_40423,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ( sK49(tl(sK56)) != tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15619,c_142]) ).
tcf(c_40424,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_15619,c_168]) ).
tcf(c_40426,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_15619,c_177]) ).
tcf(c_40427,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_15619,c_169]) ).
tcf(c_40428,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_15619,c_177]) ).
tcf(c_40877,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_13924]) ).
tcf(c_40878,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_13924]) ).
tcf(c_40879,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK7,app(X0,X1))) = sK7 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_13924]) ).
tcf(c_40880,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_13924]) ).
tcf(c_40881,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_13924]) ).
tcf(c_40882,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_13924]) ).
tcf(c_40883,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_13924]) ).
tcf(c_40893,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK7,sK34(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_13924]) ).
tcf(c_40894,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK7,sK33(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_13924]) ).
tcf(c_40895,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK7,sK32(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_13924]) ).
tcf(c_40896,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK7,sK39(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_13924]) ).
tcf(c_40897,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK7,sK38(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_13924]) ).
tcf(c_40898,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK7,sK37(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_13924]) ).
tcf(c_40899,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK7,sK44(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_13924]) ).
tcf(c_40900,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK7,sK43(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_13924]) ).
tcf(c_40901,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK7,sK42(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_13924]) ).
tcf(c_40902,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(cons(sK7,sK48(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_13924]) ).
tcf(c_40903,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(cons(sK7,sK47(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_13924]) ).
tcf(c_40904,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK7,cons(X0,X1))) = sK7 )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_13924]) ).
tcf(c_40905,plain,
hd(cons(sK7,nil)) = sK7,
inference(superposition,[status(thm)],[c_141,c_13924]) ).
tcf(c_40906,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK7,sK49(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_13924]) ).
tcf(c_40907,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK7,tl(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_13924]) ).
tcf(c_40908,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK7,sK52(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_13924]) ).
tcf(c_40909,plain,
hd(cons(sK7,sK56)) = sK7,
inference(superposition,[status(thm)],[c_9004,c_13924]) ).
tcf(c_40910,plain,
hd(cons(sK7,sK59)) = sK7,
inference(superposition,[status(thm)],[c_9003,c_13924]) ).
tcf(c_40911,plain,
hd(cons(sK7,sK58)) = sK7,
inference(superposition,[status(thm)],[c_9000,c_13924]) ).
tcf(c_40912,plain,
hd(cons(sK7,iPr_def_12)) = sK7,
inference(superposition,[status(thm)],[c_12995,c_13924]) ).
tcf(c_40913,plain,
hd(cons(sK7,iPr_def_11)) = sK7,
inference(superposition,[status(thm)],[c_12859,c_13924]) ).
tcf(c_40914,plain,
hd(cons(sK7,iPr_def_10)) = sK7,
inference(superposition,[status(thm)],[c_18402,c_13924]) ).
tcf(c_40915,plain,
hd(cons(sK7,cons(sK57,sK56))) = sK7,
inference(superposition,[status(thm)],[c_38969,c_13924]) ).
tcf(c_40916,plain,
( ( nil = sK56 )
| ( hd(cons(sK7,tl(sK56))) = sK7 ) ),
inference(superposition,[status(thm)],[c_15456,c_13924]) ).
tcf(c_40917,plain,
( ( nil = sK59 )
| ( hd(cons(sK7,tl(sK59))) = sK7 ) ),
inference(superposition,[status(thm)],[c_15493,c_13924]) ).
tcf(c_40918,plain,
( ( nil = sK58 )
| ( hd(cons(sK7,tl(sK58))) = sK7 ) ),
inference(superposition,[status(thm)],[c_15877,c_13924]) ).
tcf(c_40919,plain,
hd(cons(sK7,tl(iPr_def_10))) = sK7,
inference(superposition,[status(thm)],[c_27333,c_13924]) ).
tcf(c_40920,plain,
hd(cons(sK7,tl(iPr_def_12))) = sK7,
inference(superposition,[status(thm)],[c_19130,c_13924]) ).
tcf(c_40921,plain,
hd(cons(sK7,cons(sK57,app(sK56,sK56)))) = sK7,
inference(superposition,[status(thm)],[c_39016,c_13924]) ).
tcf(c_40922,plain,
( ( hd(cons(sK7,cons(sK57,app(sK59,sK56)))) = sK7 )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38525,c_13924]) ).
tcf(c_40923,plain,
( ( hd(cons(sK7,cons(sK57,app(sK58,sK56)))) = sK7 )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_13924]) ).
tcf(c_41187,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_40905,c_223]) ).
tcf(c_41188,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_40905,c_212]) ).
tcf(c_41189,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_40905,c_206]) ).
tcf(c_41237,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_40909,c_223]) ).
tcf(c_41238,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_40909,c_212]) ).
tcf(c_41239,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_40909,c_206]) ).
tcf(c_41263,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_40910,c_223]) ).
tcf(c_41264,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_40910,c_212]) ).
tcf(c_41265,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_40910,c_206]) ).
tcf(c_41289,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_39764,c_223]) ).
tcf(c_41290,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_39764,c_212]) ).
tcf(c_41291,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_39764,c_206]) ).
tcf(c_41315,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_39765,c_223]) ).
tcf(c_41316,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_39765,c_212]) ).
tcf(c_41317,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_39765,c_206]) ).
tcf(c_41475,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_39766,c_223]) ).
tcf(c_41476,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_39766,c_212]) ).
tcf(c_41477,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_39766,c_206]) ).
tcf(c_41501,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_40911,c_223]) ).
tcf(c_41502,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_40911,c_212]) ).
tcf(c_41503,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_40911,c_206]) ).
tcf(c_41530,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_38531,c_174]) ).
tcf(c_41531,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_38531,c_63]) ).
tcf(c_41533,plain,
( frontsegP(app(sK59,sK56),sK59)
| ~ ssList(sK59)
| ~ ssItem(sK57)
| ~ ssList(app(sK59,sK56))
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38531,c_179]) ).
tcf(c_41534,plain,
( frontsegP(app(sK59,sK56),sK59)
| ~ ssList(app(sK59,sK56))
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41533,c_9003,c_8999]) ).
tcf(c_41550,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_39273,c_174]) ).
tcf(c_41551,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_39273,c_63]) ).
tcf(c_41553,plain,
( frontsegP(app(sK58,sK56),sK58)
| ~ ssList(sK58)
| ~ ssItem(sK57)
| ~ ssList(app(sK58,sK56))
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39273,c_179]) ).
tcf(c_41554,plain,
( frontsegP(app(sK58,sK56),sK58)
| ~ ssList(app(sK58,sK56))
| ~ ssList(cons(sK57,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41553,c_9000,c_8999]) ).
tcf(c_41571,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_39515,c_183]) ).
tcf(c_41572,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_39515,c_184]) ).
tcf(c_41573,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_39515,c_66]) ).
tcf(c_41574,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_41571,c_39016]) ).
tcf(c_41580,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_41573,c_39016]) ).
tcf(c_41584,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_41572,c_39016]) ).
tcf(c_41620,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_37536]) ).
tcf(c_41621,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_37536]) ).
tcf(c_41622,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_37536]) ).
tcf(c_41623,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_37536]) ).
tcf(c_41624,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_37536]) ).
tcf(c_41625,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_37536]) ).
tcf(c_41626,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_37536]) ).
tcf(c_41636,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_37536]) ).
tcf(c_41637,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_37536]) ).
tcf(c_41638,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_37536]) ).
tcf(c_41639,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_37536]) ).
tcf(c_41640,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_37536]) ).
tcf(c_41641,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_37536]) ).
tcf(c_41642,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_37536]) ).
tcf(c_41643,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_37536]) ).
tcf(c_41644,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_37536]) ).
tcf(c_41645,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_37536]) ).
tcf(c_41646,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_37536]) ).
tcf(c_41647,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_37536]) ).
tcf(c_41648,plain,
cons(sK57,app(nil,sK59)) = app(cons(sK57,nil),sK59),
inference(superposition,[status(thm)],[c_141,c_37536]) ).
tcf(c_41649,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_37536]) ).
tcf(c_41650,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_37536]) ).
tcf(c_41651,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_37536]) ).
tcf(c_41652,plain,
cons(sK57,app(sK56,sK59)) = app(cons(sK57,sK56),sK59),
inference(superposition,[status(thm)],[c_9004,c_37536]) ).
tcf(c_41653,plain,
cons(sK57,app(sK59,sK59)) = app(cons(sK57,sK59),sK59),
inference(superposition,[status(thm)],[c_9003,c_37536]) ).
tcf(c_41654,plain,
cons(sK57,app(sK58,sK59)) = app(cons(sK57,sK58),sK59),
inference(superposition,[status(thm)],[c_9000,c_37536]) ).
tcf(c_41655,plain,
cons(sK57,app(iPr_def_12,sK59)) = app(cons(sK57,iPr_def_12),sK59),
inference(superposition,[status(thm)],[c_12995,c_37536]) ).
tcf(c_41656,plain,
cons(sK57,app(iPr_def_11,sK59)) = app(cons(sK57,iPr_def_11),sK59),
inference(superposition,[status(thm)],[c_12859,c_37536]) ).
tcf(c_41657,plain,
cons(sK57,app(iPr_def_10,sK59)) = app(cons(sK57,iPr_def_10),sK59),
inference(superposition,[status(thm)],[c_18402,c_37536]) ).
tcf(c_41658,plain,
cons(sK57,app(cons(sK57,sK56),sK59)) = app(cons(sK57,cons(sK57,sK56)),sK59),
inference(superposition,[status(thm)],[c_38969,c_37536]) ).
tcf(c_41659,plain,
( ( nil = sK56 )
| ( cons(sK57,app(tl(sK56),sK59)) = app(cons(sK57,tl(sK56)),sK59) ) ),
inference(superposition,[status(thm)],[c_15456,c_37536]) ).
tcf(c_41660,plain,
( ( nil = sK59 )
| ( cons(sK57,app(tl(sK59),sK59)) = app(cons(sK57,tl(sK59)),sK59) ) ),
inference(superposition,[status(thm)],[c_15493,c_37536]) ).
tcf(c_41661,plain,
( ( nil = sK58 )
| ( cons(sK57,app(tl(sK58),sK59)) = app(cons(sK57,tl(sK58)),sK59) ) ),
inference(superposition,[status(thm)],[c_15877,c_37536]) ).
tcf(c_41662,plain,
cons(sK57,app(tl(iPr_def_10),sK59)) = app(cons(sK57,tl(iPr_def_10)),sK59),
inference(superposition,[status(thm)],[c_27333,c_37536]) ).
tcf(c_41663,plain,
cons(sK57,app(tl(iPr_def_12),sK59)) = app(cons(sK57,tl(iPr_def_12)),sK59),
inference(superposition,[status(thm)],[c_19130,c_37536]) ).
tcf(c_41664,plain,
cons(sK57,app(cons(sK57,app(sK56,sK56)),sK59)) = app(cons(sK57,cons(sK57,app(sK56,sK56))),sK59),
inference(superposition,[status(thm)],[c_39016,c_37536]) ).
tcf(c_41665,plain,
( ( cons(sK57,app(cons(sK57,app(sK59,sK56)),sK59)) = app(cons(sK57,cons(sK57,app(sK59,sK56))),sK59) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38525,c_37536]) ).
tcf(c_41666,plain,
( ( cons(sK57,app(cons(sK57,app(sK58,sK56)),sK59)) = app(cons(sK57,cons(sK57,app(sK58,sK56))),sK59) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_37536]) ).
tcf(c_41667,plain,
app(cons(sK57,iPr_def_12),sK59) = cons(sK57,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_41655,c_18427]) ).
tcf(c_41668,plain,
cons(sK57,sK59) = app(iPr_def_11,sK59),
inference(light_normalisation,[status(thm)],[c_41648,c_12691,c_35200]) ).
tcf(c_41898,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_41652,c_67]) ).
tcf(c_41901,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_41652,c_167]) ).
tcf(c_41902,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_41652,c_231]) ).
tcf(c_41903,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_41652,c_230]) ).
tcf(c_41904,plain,
( frontsegP(cons(sK57,app(sK56,sK59)),cons(sK57,sK56))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_41652,c_386]) ).
tcf(c_41905,plain,
( rearsegP(cons(sK57,app(sK56,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_41652,c_383]) ).
tcf(c_41906,plain,
( ssList(cons(sK57,app(sK56,sK59)))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_41652,c_153]) ).
tcf(c_41907,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_41652,c_225]) ).
tcf(c_41908,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_41652,c_226]) ).
tcf(c_41909,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_41652,c_176]) ).
tcf(c_41910,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_41652,c_165]) ).
tcf(c_41911,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_41652,c_193]) ).
tcf(c_41912,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_41652,c_186]) ).
tcf(c_41913,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_41652,c_166]) ).
tcf(c_41914,plain,
( ( cons(sK57,sK56) = iPr_def_12 )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_41652,c_25424]) ).
tcf(c_41915,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_41652,c_25408]) ).
tcf(c_41916,plain,
ssList(cons(sK57,app(sK56,sK59))),
inference(forward_subsumption_resolution,[status(thm)],[c_41906,c_9003,c_38969]) ).
tcf(c_41917,plain,
rearsegP(cons(sK57,app(sK56,sK59)),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_41905,c_9003,c_38969]) ).
tcf(c_41918,plain,
frontsegP(cons(sK57,app(sK56,sK59)),cons(sK57,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_41904,c_9003,c_38969]) ).
tcf(c_41919,plain,
cons(sK57,app(sK56,sK59)) != sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_41915,c_38976,c_38969]) ).
tcf(c_41920,plain,
( ( cons(sK57,sK56) = iPr_def_12 )
| ( cons(sK57,app(sK56,sK59)) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41914,c_38969]) ).
tcf(c_41926,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41913,c_9003,c_38969]) ).
tcf(c_41930,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41912,c_9003,c_38969]) ).
tcf(c_41934,plain,
cons(sK57,app(sK56,sK59)) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_41902,c_38976,c_9003,c_38969]) ).
tcf(c_41935,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41910,c_9003,c_38969]) ).
tcf(c_41939,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41909,c_9003,c_38969]) ).
tcf(c_41943,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK56,sK59)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41911,c_9003,c_38969]) ).
tcf(c_41948,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(cons(sK57,sK56),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK56,sK59)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41901,c_9003,c_38969]) ).
tcf(c_41953,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ( app(cons(sK57,sK56),X0) != cons(sK57,app(sK56,sK59)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41908,c_9003,c_38969]) ).
tcf(c_41957,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(X0)
| ( cons(sK57,app(sK56,sK59)) != app(X0,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41907,c_9003,c_38969]) ).
tcf(c_41961,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_41898,c_41652]) ).
tcf(c_41962,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK56,sK59)),X0),sK59)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,app(sK56,sK59)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41961,c_9003,c_38969]) ).
tcf(c_42000,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_41916,c_228]) ).
tcf(c_42001,plain,
cons(sK57,app(cons(sK57,app(sK56,sK59)),sK59)) = app(cons(sK57,cons(sK57,app(sK56,sK59))),sK59),
inference(superposition,[status(thm)],[c_41916,c_37536]) ).
tcf(c_42002,plain,
hd(cons(sK7,cons(sK57,app(sK56,sK59)))) = sK7,
inference(superposition,[status(thm)],[c_41916,c_13924]) ).
tcf(c_42003,plain,
hd(cons(sK6,cons(sK57,app(sK56,sK59)))) = sK6,
inference(superposition,[status(thm)],[c_41916,c_13923]) ).
tcf(c_42004,plain,
cons(sK57,app(cons(sK57,app(sK56,sK59)),sK56)) = app(cons(sK57,cons(sK57,app(sK56,sK59))),sK56),
inference(superposition,[status(thm)],[c_41916,c_37535]) ).
tcf(c_42005,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_41916,c_22705]) ).
tcf(c_42006,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,app(sK56,sK59))) = tl(app(sK58,cons(sK57,app(sK56,sK59)))) ) ),
inference(superposition,[status(thm)],[c_41916,c_21826]) ).
tcf(c_42007,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK56,sK59))) = tl(app(sK59,cons(sK57,app(sK56,sK59)))) ) ),
inference(superposition,[status(thm)],[c_41916,c_21825]) ).
tcf(c_42008,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK56,sK59))) = tl(app(sK56,cons(sK57,app(sK56,sK59)))) ) ),
inference(superposition,[status(thm)],[c_41916,c_21824]) ).
tcf(c_42009,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_41916,c_124]) ).
tcf(c_42010,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_41916,c_116]) ).
tcf(c_42011,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_41916,c_108]) ).
tcf(c_42012,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,app(sK56,sK59)))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_41916,c_19350]) ).
tcf(c_42013,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_41916,c_234]) ).
tcf(c_42014,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK56,sK59)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_41916,c_19349]) ).
tcf(c_42015,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK56,sK59)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_41916,c_19348]) ).
tcf(c_42016,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_41916,c_132]) ).
tcf(c_42017,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_41916,c_233]) ).
tcf(c_42018,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_41916,c_224]) ).
tcf(c_42019,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_41916,c_147]) ).
tcf(c_42020,plain,
tl(cons(sK57,cons(sK57,app(sK56,sK59)))) = cons(sK57,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_41916,c_14117]) ).
tcf(c_42021,plain,
hd(cons(sK57,cons(sK57,app(sK56,sK59)))) = sK57,
inference(superposition,[status(thm)],[c_41916,c_13943]) ).
tcf(c_42022,plain,
( ( cons(sK57,app(sK56,sK59)) = nil )
| ( tl(cons(sK57,app(sK56,sK59))) = sK52(cons(sK57,app(sK56,sK59))) ) ),
inference(superposition,[status(thm)],[c_41916,c_222]) ).
tcf(c_42023,plain,
( ( cons(sK57,app(sK56,sK59)) = nil )
| ( hd(cons(sK57,app(sK56,sK59))) = sK51(cons(sK57,app(sK56,sK59))) ) ),
inference(superposition,[status(thm)],[c_41916,c_220]) ).
tcf(c_42024,plain,
( duplicatefreeP(cons(sK57,app(sK56,sK59)))
| ( sK40(cons(sK57,app(sK56,sK59))) = sK41(cons(sK57,app(sK56,sK59))) ) ),
inference(superposition,[status(thm)],[c_41916,c_123]) ).
tcf(c_42025,plain,
app(cons(sK57,app(sK56,sK59)),nil) = cons(sK57,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_41916,c_232]) ).
tcf(c_42026,plain,
app(nil,cons(sK57,app(sK56,sK59))) = cons(sK57,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_41916,c_155]) ).
tcf(c_42116,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_41917,c_183]) ).
tcf(c_42117,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_41917,c_184]) ).
tcf(c_42118,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_41917,c_66]) ).
tcf(c_42120,plain,
app(sK12(cons(sK57,app(sK56,sK59)),sK59),sK59) = cons(sK57,app(sK56,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_42118,c_9003,c_41916]) ).
tcf(c_42121,plain,
( ( cons(sK57,app(sK56,sK59)) = sK59 )
| ~ rearsegP(sK59,cons(sK57,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42117,c_9003,c_41916]) ).
tcf(c_42124,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ frontsegP(cons(sK57,sK56),X0)
| ~ ssList(cons(sK57,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_41918,c_173]) ).
tcf(c_42125,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_41918,c_174]) ).
tcf(c_42126,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_41918,c_63]) ).
tcf(c_42128,plain,
( frontsegP(app(sK56,sK59),sK56)
| ~ ssList(sK56)
| ~ ssItem(sK57)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_41918,c_179]) ).
tcf(c_42129,plain,
( frontsegP(app(sK56,sK59),sK56)
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42128,c_9004,c_8999]) ).
tcf(c_42133,plain,
app(cons(sK57,sK56),sK11(cons(sK57,app(sK56,sK59)),cons(sK57,sK56))) = cons(sK57,app(sK56,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_42126,c_38969,c_41916]) ).
tcf(c_42134,plain,
( ( cons(sK57,app(sK56,sK59)) = cons(sK57,sK56) )
| ~ frontsegP(cons(sK57,sK56),cons(sK57,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42125,c_38969,c_41916]) ).
tcf(c_42143,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_15837,c_130]) ).
tcf(c_42144,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_15837,c_122]) ).
tcf(c_42145,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_15837,c_114]) ).
tcf(c_42146,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_15837,c_130]) ).
tcf(c_42150,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_15837,c_54]) ).
tcf(c_42151,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_15837,c_122]) ).
tcf(c_42152,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_15837,c_114]) ).
tcf(c_42156,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_15837,c_137]) ).
tcf(c_42159,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_15837,c_178]) ).
tcf(c_42160,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_15837,c_179]) ).
tcf(c_42161,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_15837,c_28016]) ).
tcf(c_42162,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_15837,c_27918]) ).
tcf(c_42163,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_15837,c_27763]) ).
tcf(c_42164,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_15837,c_27753]) ).
tcf(c_42165,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_15837,c_26831]) ).
tcf(c_42166,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_15837,c_144]) ).
tcf(c_42167,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_15837,c_143]) ).
tcf(c_42168,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_15837,c_178]) ).
tcf(c_42169,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_15837,c_179]) ).
tcf(c_42170,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_15837,c_170]) ).
tcf(c_42171,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_15837,c_214]) ).
tcf(c_42172,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_15837,c_208]) ).
tcf(c_42173,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_15837,c_213]) ).
tcf(c_42174,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_15837,c_207]) ).
tcf(c_42176,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ( sK49(tl(sK59)) != tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15837,c_142]) ).
tcf(c_42177,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_15837,c_168]) ).
tcf(c_42179,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_15837,c_177]) ).
tcf(c_42180,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_15837,c_169]) ).
tcf(c_42181,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_15837,c_177]) ).
tcf(c_42653,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_41668,c_67]) ).
tcf(c_42656,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_41668,c_167]) ).
tcf(c_42657,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ( cons(sK57,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_41668,c_231]) ).
tcf(c_42658,plain,
( ( nil = sK59 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ( cons(sK57,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_41668,c_230]) ).
tcf(c_42659,plain,
( frontsegP(cons(sK57,sK59),iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_41668,c_386]) ).
tcf(c_42660,plain,
( rearsegP(cons(sK57,sK59),sK59)
| ~ ssList(iPr_def_11)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_41668,c_383]) ).
tcf(c_42661,plain,
( ssList(cons(sK57,sK59))
| ~ ssList(iPr_def_11)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_41668,c_153]) ).
tcf(c_42662,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_41668,c_225]) ).
tcf(c_42663,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_41668,c_226]) ).
tcf(c_42664,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_41668,c_176]) ).
tcf(c_42665,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_41668,c_165]) ).
tcf(c_42666,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_41668,c_193]) ).
tcf(c_42667,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK59),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(superposition,[status(thm)],[c_41668,c_186]) ).
tcf(c_42668,plain,
! [X0: $i] :
( memberP(cons(sK57,sK59),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(superposition,[status(thm)],[c_41668,c_166]) ).
tcf(c_42669,plain,
( ( iPr_def_11 = iPr_def_12 )
| ~ ssList(iPr_def_11)
| ( cons(sK57,sK59) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_41668,c_25424]) ).
tcf(c_42670,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ( cons(sK57,sK59) != sK59 ) ),
inference(superposition,[status(thm)],[c_41668,c_25408]) ).
tcf(c_42671,plain,
ssList(cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_42661,c_12859,c_9003]) ).
tcf(c_42672,plain,
rearsegP(cons(sK57,sK59),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_42660,c_12859,c_9003]) ).
tcf(c_42673,plain,
frontsegP(cons(sK57,sK59),iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_42659,c_12859,c_9003]) ).
tcf(c_42674,plain,
cons(sK57,sK59) != sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_42670,c_13900,c_12859]) ).
tcf(c_42675,plain,
( ( iPr_def_11 = iPr_def_12 )
| ( cons(sK57,sK59) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42669,c_12859]) ).
tcf(c_42681,plain,
cons(sK57,sK59) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_42657,c_13900,c_12859,c_9003]) ).
tcf(c_42682,plain,
! [X0: $i] :
( memberP(cons(sK57,sK59),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42668,c_12859,c_9003]) ).
tcf(c_42686,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK59),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42667,c_12859,c_9003]) ).
tcf(c_42690,plain,
! [X0: $i] :
( memberP(cons(sK57,sK59),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42665,c_12859,c_9003]) ).
tcf(c_42694,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42664,c_12859,c_9003]) ).
tcf(c_42698,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_42656,c_12859,c_9003]) ).
tcf(c_42703,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42663,c_12859,c_9003]) ).
tcf(c_42707,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(X0,sK59) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42662,c_12859,c_9003]) ).
tcf(c_42711,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_42666,c_12859,c_9003]) ).
tcf(c_42716,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_42653,c_41668]) ).
tcf(c_42717,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_42716,c_12859,c_9003]) ).
tcf(c_42721,plain,
frontsegP(cons(sK57,app(sK59,sK56)),cons(sK57,sK59)),
inference(backward_subsumption_resolution,[status(thm)],[c_38531,c_42671]) ).
tcf(c_42722,plain,
rearsegP(cons(sK57,app(sK59,sK56)),sK56),
inference(backward_subsumption_resolution,[status(thm)],[c_38528,c_42671]) ).
tcf(c_42723,plain,
ssList(cons(sK57,app(sK59,sK56))),
inference(backward_subsumption_resolution,[status(thm)],[c_38525,c_42671]) ).
tcf(c_42757,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_42671,c_228]) ).
tcf(c_42758,plain,
cons(sK57,app(cons(sK57,sK59),sK59)) = app(cons(sK57,cons(sK57,sK59)),sK59),
inference(superposition,[status(thm)],[c_42671,c_37536]) ).
tcf(c_42759,plain,
hd(cons(sK7,cons(sK57,sK59))) = sK7,
inference(superposition,[status(thm)],[c_42671,c_13924]) ).
tcf(c_42760,plain,
hd(cons(sK6,cons(sK57,sK59))) = sK6,
inference(superposition,[status(thm)],[c_42671,c_13923]) ).
tcf(c_42761,plain,
cons(sK57,app(cons(sK57,sK59),sK56)) = app(cons(sK57,cons(sK57,sK59)),sK56),
inference(superposition,[status(thm)],[c_42671,c_37535]) ).
tcf(c_42762,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,sK59))) = app(cons(sK57,X0),cons(sK57,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_42671,c_22705]) ).
tcf(c_42763,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,sK59)) = tl(app(sK58,cons(sK57,sK59))) ) ),
inference(superposition,[status(thm)],[c_42671,c_21826]) ).
tcf(c_42764,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,sK59)) = tl(app(sK59,cons(sK57,sK59))) ) ),
inference(superposition,[status(thm)],[c_42671,c_21825]) ).
tcf(c_42765,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,sK59)) = tl(app(sK56,cons(sK57,sK59))) ) ),
inference(superposition,[status(thm)],[c_42671,c_21824]) ).
tcf(c_42766,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_42671,c_124]) ).
tcf(c_42767,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_42671,c_116]) ).
tcf(c_42768,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_42671,c_108]) ).
tcf(c_42769,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,sK59))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_42671,c_19350]) ).
tcf(c_42770,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_42671,c_234]) ).
tcf(c_42771,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,sK59))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_42671,c_19349]) ).
tcf(c_42772,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,sK59))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_42671,c_19348]) ).
tcf(c_42773,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_42671,c_132]) ).
tcf(c_42774,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = nil )
| ( hd(app(cons(sK57,sK59),X0)) = hd(cons(sK57,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_42671,c_233]) ).
tcf(c_42775,plain,
( ( cons(sK57,sK59) = nil )
| ( cons(hd(cons(sK57,sK59)),tl(cons(sK57,sK59))) = cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_42671,c_224]) ).
tcf(c_42776,plain,
( ( cons(sK57,sK59) = nil )
| ( cons(sK50(cons(sK57,sK59)),sK49(cons(sK57,sK59))) = cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_42671,c_147]) ).
tcf(c_42777,plain,
tl(cons(sK57,cons(sK57,sK59))) = cons(sK57,sK59),
inference(superposition,[status(thm)],[c_42671,c_14117]) ).
tcf(c_42778,plain,
hd(cons(sK57,cons(sK57,sK59))) = sK57,
inference(superposition,[status(thm)],[c_42671,c_13943]) ).
tcf(c_42779,plain,
( ( cons(sK57,sK59) = nil )
| ( tl(cons(sK57,sK59)) = sK52(cons(sK57,sK59)) ) ),
inference(superposition,[status(thm)],[c_42671,c_222]) ).
tcf(c_42780,plain,
( ( cons(sK57,sK59) = nil )
| ( hd(cons(sK57,sK59)) = sK51(cons(sK57,sK59)) ) ),
inference(superposition,[status(thm)],[c_42671,c_220]) ).
tcf(c_42781,plain,
( duplicatefreeP(cons(sK57,sK59))
| ( sK40(cons(sK57,sK59)) = sK41(cons(sK57,sK59)) ) ),
inference(superposition,[status(thm)],[c_42671,c_123]) ).
tcf(c_42782,plain,
app(cons(sK57,sK59),nil) = cons(sK57,sK59),
inference(superposition,[status(thm)],[c_42671,c_232]) ).
tcf(c_42783,plain,
app(nil,cons(sK57,sK59)) = cons(sK57,sK59),
inference(superposition,[status(thm)],[c_42671,c_155]) ).
tcf(c_42792,plain,
( ( cons(sK57,sK59) = nil )
| ( sK51(cons(sK57,sK59)) = sK57 ) ),
inference(light_normalisation,[status(thm)],[c_42780,c_14788]) ).
tcf(c_42795,plain,
( ( cons(sK57,sK59) = nil )
| ( sK52(cons(sK57,sK59)) = sK59 ) ),
inference(light_normalisation,[status(thm)],[c_42779,c_14960]) ).
tcf(c_42798,plain,
cons(sK57,cons(sK57,app(sK59,sK56))) = app(cons(sK57,cons(sK57,sK59)),sK56),
inference(light_normalisation,[status(thm)],[c_42761,c_38042]) ).
tcf(c_42799,plain,
cons(sK57,cons(sK57,app(sK59,sK59))) = app(cons(sK57,cons(sK57,sK59)),sK59),
inference(light_normalisation,[status(thm)],[c_42758,c_41653]) ).
tcf(c_42811,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = nil )
| ( hd(app(cons(sK57,sK59),X0)) = sK57 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_42774,c_14788]) ).
tcf(c_42818,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = nil )
| ( tl(app(cons(sK57,sK59),X0)) = app(sK59,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_42770,c_14960]) ).
tcf(c_43077,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK59),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_42672,c_183]) ).
tcf(c_43078,plain,
( ( cons(sK57,sK59) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59))
| ~ rearsegP(sK59,cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_42672,c_184]) ).
tcf(c_43079,plain,
( ( app(sK12(cons(sK57,sK59),sK59),sK59) = cons(sK57,sK59) )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_42672,c_66]) ).
tcf(c_43080,plain,
app(sK12(cons(sK57,sK59),sK59),sK59) = cons(sK57,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_43079,c_9003,c_42671]) ).
tcf(c_43081,plain,
( ( cons(sK57,sK59) = sK59 )
| ~ rearsegP(sK59,cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43078,c_9003,c_42671]) ).
tcf(c_43085,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_42673,c_173]) ).
tcf(c_43086,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_42673,c_174]) ).
tcf(c_43087,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_42673,c_63]) ).
tcf(c_43089,plain,
app(iPr_def_11,sK11(cons(sK57,sK59),iPr_def_11)) = cons(sK57,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_43087,c_12859,c_42671]) ).
tcf(c_43090,plain,
( ( cons(sK57,sK59) = iPr_def_11 )
| ~ frontsegP(iPr_def_11,cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43086,c_12859,c_42671]) ).
tcf(c_43094,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_42723,c_228]) ).
tcf(c_43095,plain,
cons(sK57,app(cons(sK57,app(sK59,sK56)),sK59)) = app(cons(sK57,cons(sK57,app(sK59,sK56))),sK59),
inference(superposition,[status(thm)],[c_42723,c_37536]) ).
tcf(c_43096,plain,
hd(cons(sK7,cons(sK57,app(sK59,sK56)))) = sK7,
inference(superposition,[status(thm)],[c_42723,c_13924]) ).
tcf(c_43097,plain,
hd(cons(sK6,cons(sK57,app(sK59,sK56)))) = sK6,
inference(superposition,[status(thm)],[c_42723,c_13923]) ).
tcf(c_43098,plain,
cons(sK57,app(cons(sK57,app(sK59,sK56)),sK56)) = app(cons(sK57,cons(sK57,app(sK59,sK56))),sK56),
inference(superposition,[status(thm)],[c_42723,c_37535]) ).
tcf(c_43099,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_42723,c_22705]) ).
tcf(c_43100,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,app(sK59,sK56))) = tl(app(sK58,cons(sK57,app(sK59,sK56)))) ) ),
inference(superposition,[status(thm)],[c_42723,c_21826]) ).
tcf(c_43101,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK59,sK56))) = tl(app(sK59,cons(sK57,app(sK59,sK56)))) ) ),
inference(superposition,[status(thm)],[c_42723,c_21825]) ).
tcf(c_43102,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK59,sK56))) = tl(app(sK56,cons(sK57,app(sK59,sK56)))) ) ),
inference(superposition,[status(thm)],[c_42723,c_21824]) ).
tcf(c_43103,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_42723,c_124]) ).
tcf(c_43104,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_42723,c_116]) ).
tcf(c_43105,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_42723,c_108]) ).
tcf(c_43106,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,app(sK59,sK56)))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_42723,c_19350]) ).
tcf(c_43107,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_42723,c_234]) ).
tcf(c_43108,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK59,sK56)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_42723,c_19349]) ).
tcf(c_43109,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK59,sK56)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_42723,c_19348]) ).
tcf(c_43110,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_42723,c_132]) ).
tcf(c_43111,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_42723,c_233]) ).
tcf(c_43112,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_42723,c_224]) ).
tcf(c_43113,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_42723,c_147]) ).
tcf(c_43114,plain,
tl(cons(sK57,cons(sK57,app(sK59,sK56)))) = cons(sK57,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_42723,c_14117]) ).
tcf(c_43115,plain,
hd(cons(sK57,cons(sK57,app(sK59,sK56)))) = sK57,
inference(superposition,[status(thm)],[c_42723,c_13943]) ).
tcf(c_43116,plain,
( ( cons(sK57,app(sK59,sK56)) = nil )
| ( tl(cons(sK57,app(sK59,sK56))) = sK52(cons(sK57,app(sK59,sK56))) ) ),
inference(superposition,[status(thm)],[c_42723,c_222]) ).
tcf(c_43117,plain,
( ( cons(sK57,app(sK59,sK56)) = nil )
| ( hd(cons(sK57,app(sK59,sK56))) = sK51(cons(sK57,app(sK59,sK56))) ) ),
inference(superposition,[status(thm)],[c_42723,c_220]) ).
tcf(c_43118,plain,
( duplicatefreeP(cons(sK57,app(sK59,sK56)))
| ( sK40(cons(sK57,app(sK59,sK56))) = sK41(cons(sK57,app(sK59,sK56))) ) ),
inference(superposition,[status(thm)],[c_42723,c_123]) ).
tcf(c_43119,plain,
app(cons(sK57,app(sK59,sK56)),nil) = cons(sK57,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_42723,c_232]) ).
tcf(c_43120,plain,
app(nil,cons(sK57,app(sK59,sK56))) = cons(sK57,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_42723,c_155]) ).
tcf(c_43222,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_40912,c_223]) ).
tcf(c_43223,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_40912,c_212]) ).
tcf(c_43224,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_40912,c_206]) ).
tcf(c_43285,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_40913,c_223]) ).
tcf(c_43286,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_40913,c_212]) ).
tcf(c_43287,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_40913,c_206]) ).
tcf(c_43311,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_40914,c_223]) ).
tcf(c_43312,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_40914,c_212]) ).
tcf(c_43313,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_40914,c_206]) ).
tcf(c_43339,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK59),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_42129,c_173]) ).
tcf(c_43340,plain,
( ( app(sK56,sK59) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK59))
| ~ frontsegP(sK56,app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_42129,c_174]) ).
tcf(c_43341,plain,
( ( app(sK56,sK11(app(sK56,sK59),sK56)) = app(sK56,sK59) )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_42129,c_63]) ).
tcf(c_43342,plain,
( ( app(sK56,sK11(app(sK56,sK59),sK56)) = app(sK56,sK59) )
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43341,c_9004]) ).
tcf(c_43345,plain,
( ( app(sK56,sK59) = sK56 )
| ~ ssList(app(sK56,sK59))
| ~ frontsegP(sK56,app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43340,c_9004]) ).
tcf(c_43349,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43339,c_9004]) ).
tcf(c_43355,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_41653,c_67]) ).
tcf(c_43358,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_41653,c_167]) ).
tcf(c_43359,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_41653,c_231]) ).
tcf(c_43360,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_41653,c_230]) ).
tcf(c_43361,plain,
( frontsegP(cons(sK57,app(sK59,sK59)),cons(sK57,sK59))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_41653,c_386]) ).
tcf(c_43362,plain,
( rearsegP(cons(sK57,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_41653,c_383]) ).
tcf(c_43363,plain,
( ssList(cons(sK57,app(sK59,sK59)))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_41653,c_153]) ).
tcf(c_43364,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_41653,c_225]) ).
tcf(c_43365,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_41653,c_226]) ).
tcf(c_43366,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_41653,c_176]) ).
tcf(c_43367,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_41653,c_165]) ).
tcf(c_43368,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_41653,c_193]) ).
tcf(c_43369,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_41653,c_186]) ).
tcf(c_43370,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_41653,c_166]) ).
tcf(c_43371,plain,
( ( cons(sK57,sK59) = iPr_def_12 )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_41653,c_25424]) ).
tcf(c_43372,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_41653,c_25408]) ).
tcf(c_43373,plain,
ssList(cons(sK57,app(sK59,sK59))),
inference(forward_subsumption_resolution,[status(thm)],[c_43363,c_9003,c_42671]) ).
tcf(c_43374,plain,
rearsegP(cons(sK57,app(sK59,sK59)),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_43362,c_9003,c_42671]) ).
tcf(c_43375,plain,
frontsegP(cons(sK57,app(sK59,sK59)),cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_43361,c_9003,c_42671]) ).
tcf(c_43376,plain,
cons(sK57,app(sK59,sK59)) != sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_43372,c_42681,c_42671]) ).
tcf(c_43377,plain,
( ( cons(sK57,sK59) = iPr_def_12 )
| ( cons(sK57,app(sK59,sK59)) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43371,c_42671]) ).
tcf(c_43383,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43370,c_9003,c_42671]) ).
tcf(c_43387,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43369,c_9003,c_42671]) ).
tcf(c_43391,plain,
cons(sK57,app(sK59,sK59)) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_43359,c_42681,c_9003,c_42671]) ).
tcf(c_43392,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43367,c_9003,c_42671]) ).
tcf(c_43396,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43366,c_9003,c_42671]) ).
tcf(c_43400,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK59,sK59)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43368,c_9003,c_42671]) ).
tcf(c_43405,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(cons(sK57,sK59),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK59,sK59)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43358,c_9003,c_42671]) ).
tcf(c_43410,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ( app(cons(sK57,sK59),X0) != cons(sK57,app(sK59,sK59)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43365,c_9003,c_42671]) ).
tcf(c_43414,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(X0)
| ( cons(sK57,app(sK59,sK59)) != app(X0,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43364,c_9003,c_42671]) ).
tcf(c_43418,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_43355,c_41653]) ).
tcf(c_43419,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK59,sK59)),X0),sK59)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,app(sK59,sK59)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43418,c_9003,c_42671]) ).
tcf(c_43432,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_43373,c_228]) ).
tcf(c_43433,plain,
cons(sK57,app(cons(sK57,app(sK59,sK59)),sK59)) = app(cons(sK57,cons(sK57,app(sK59,sK59))),sK59),
inference(superposition,[status(thm)],[c_43373,c_37536]) ).
tcf(c_43434,plain,
hd(cons(sK7,cons(sK57,app(sK59,sK59)))) = sK7,
inference(superposition,[status(thm)],[c_43373,c_13924]) ).
tcf(c_43435,plain,
hd(cons(sK6,cons(sK57,app(sK59,sK59)))) = sK6,
inference(superposition,[status(thm)],[c_43373,c_13923]) ).
tcf(c_43436,plain,
cons(sK57,app(cons(sK57,app(sK59,sK59)),sK56)) = app(cons(sK57,cons(sK57,app(sK59,sK59))),sK56),
inference(superposition,[status(thm)],[c_43373,c_37535]) ).
tcf(c_43437,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_43373,c_22705]) ).
tcf(c_43438,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,app(sK59,sK59))) = tl(app(sK58,cons(sK57,app(sK59,sK59)))) ) ),
inference(superposition,[status(thm)],[c_43373,c_21826]) ).
tcf(c_43439,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK59,sK59))) = tl(app(sK59,cons(sK57,app(sK59,sK59)))) ) ),
inference(superposition,[status(thm)],[c_43373,c_21825]) ).
tcf(c_43440,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK59,sK59))) = tl(app(sK56,cons(sK57,app(sK59,sK59)))) ) ),
inference(superposition,[status(thm)],[c_43373,c_21824]) ).
tcf(c_43441,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_43373,c_124]) ).
tcf(c_43442,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_43373,c_116]) ).
tcf(c_43443,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_43373,c_108]) ).
tcf(c_43444,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,app(sK59,sK59)))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_43373,c_19350]) ).
tcf(c_43445,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_43373,c_234]) ).
tcf(c_43446,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK59,sK59)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_43373,c_19349]) ).
tcf(c_43447,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK59,sK59)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_43373,c_19348]) ).
tcf(c_43448,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_43373,c_132]) ).
tcf(c_43449,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_43373,c_233]) ).
tcf(c_43450,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_43373,c_224]) ).
tcf(c_43451,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_43373,c_147]) ).
tcf(c_43452,plain,
tl(cons(sK57,cons(sK57,app(sK59,sK59)))) = cons(sK57,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_43373,c_14117]) ).
tcf(c_43453,plain,
hd(cons(sK57,cons(sK57,app(sK59,sK59)))) = sK57,
inference(superposition,[status(thm)],[c_43373,c_13943]) ).
tcf(c_43454,plain,
( ( cons(sK57,app(sK59,sK59)) = nil )
| ( tl(cons(sK57,app(sK59,sK59))) = sK52(cons(sK57,app(sK59,sK59))) ) ),
inference(superposition,[status(thm)],[c_43373,c_222]) ).
tcf(c_43455,plain,
( ( cons(sK57,app(sK59,sK59)) = nil )
| ( hd(cons(sK57,app(sK59,sK59))) = sK51(cons(sK57,app(sK59,sK59))) ) ),
inference(superposition,[status(thm)],[c_43373,c_220]) ).
tcf(c_43456,plain,
( duplicatefreeP(cons(sK57,app(sK59,sK59)))
| ( sK40(cons(sK57,app(sK59,sK59))) = sK41(cons(sK57,app(sK59,sK59))) ) ),
inference(superposition,[status(thm)],[c_43373,c_123]) ).
tcf(c_43457,plain,
app(cons(sK57,app(sK59,sK59)),nil) = cons(sK57,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_43373,c_232]) ).
tcf(c_43458,plain,
app(nil,cons(sK57,app(sK59,sK59))) = cons(sK57,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_43373,c_155]) ).
tcf(c_43594,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_43374,c_183]) ).
tcf(c_43595,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_43374,c_184]) ).
tcf(c_43596,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_43374,c_66]) ).
tcf(c_43598,plain,
app(sK12(cons(sK57,app(sK59,sK59)),sK59),sK59) = cons(sK57,app(sK59,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_43596,c_9003,c_43373]) ).
tcf(c_43599,plain,
( ( cons(sK57,app(sK59,sK59)) = sK59 )
| ~ rearsegP(sK59,cons(sK57,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43595,c_9003,c_43373]) ).
tcf(c_43602,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ frontsegP(cons(sK57,sK59),X0)
| ~ ssList(cons(sK57,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_43375,c_173]) ).
tcf(c_43603,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_43375,c_174]) ).
tcf(c_43604,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_43375,c_63]) ).
tcf(c_43606,plain,
( frontsegP(app(sK59,sK59),sK59)
| ~ ssList(sK59)
| ~ ssItem(sK57)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_43375,c_179]) ).
tcf(c_43607,plain,
( frontsegP(app(sK59,sK59),sK59)
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43606,c_9003,c_8999]) ).
tcf(c_43611,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_43604,c_42671,c_43373]) ).
tcf(c_43612,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_43603,c_42671,c_43373]) ).
tcf(c_43620,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_42722,c_183]) ).
tcf(c_43621,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_42722,c_184]) ).
tcf(c_43622,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_42722,c_66]) ).
tcf(c_43623,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43620,c_9004,c_42723]) ).
tcf(c_43627,plain,
app(sK12(cons(sK57,app(sK59,sK56)),sK56),sK56) = cons(sK57,app(sK59,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_43622,c_9004,c_42723]) ).
tcf(c_43628,plain,
( ( cons(sK57,app(sK59,sK56)) = sK56 )
| ~ rearsegP(sK56,cons(sK57,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43621,c_9004,c_42723]) ).
tcf(c_43672,plain,
( frontsegP(app(sK59,sK56),sK59)
| ~ ssList(sK59)
| ~ ssItem(sK57)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_42721,c_179]) ).
tcf(c_43673,plain,
( frontsegP(app(sK59,sK56),sK59)
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43672,c_9003,c_8999]) ).
tcf(c_43680,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_14097]) ).
tcf(c_43681,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_14097]) ).
tcf(c_43682,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_14097]) ).
tcf(c_43683,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_14097]) ).
tcf(c_43684,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_14097]) ).
tcf(c_43685,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_14097]) ).
tcf(c_43686,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_14097]) ).
tcf(c_43696,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK6,sK34(X0))) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_14097]) ).
tcf(c_43697,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK6,sK33(X0))) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_14097]) ).
tcf(c_43698,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK6,sK32(X0))) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_14097]) ).
tcf(c_43699,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK6,sK39(X0))) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_14097]) ).
tcf(c_43700,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK6,sK38(X0))) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_14097]) ).
tcf(c_43701,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK6,sK37(X0))) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_14097]) ).
tcf(c_43702,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK6,sK44(X0))) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_14097]) ).
tcf(c_43703,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK6,sK43(X0))) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_14097]) ).
tcf(c_43704,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK6,sK42(X0))) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_14097]) ).
tcf(c_43705,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( tl(cons(sK6,sK48(X0))) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_14097]) ).
tcf(c_43706,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( tl(cons(sK6,sK47(X0))) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_14097]) ).
tcf(c_43707,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_14097]) ).
tcf(c_43708,plain,
tl(cons(sK6,nil)) = nil,
inference(superposition,[status(thm)],[c_141,c_14097]) ).
tcf(c_43709,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK6,sK49(X0))) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_14097]) ).
tcf(c_43710,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK6,tl(X0))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_14097]) ).
tcf(c_43711,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK6,sK52(X0))) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_14097]) ).
tcf(c_43712,plain,
tl(cons(sK6,sK56)) = sK56,
inference(superposition,[status(thm)],[c_9004,c_14097]) ).
tcf(c_43713,plain,
tl(cons(sK6,sK59)) = sK59,
inference(superposition,[status(thm)],[c_9003,c_14097]) ).
tcf(c_43714,plain,
tl(cons(sK6,sK58)) = sK58,
inference(superposition,[status(thm)],[c_9000,c_14097]) ).
tcf(c_43715,plain,
tl(cons(sK6,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_12995,c_14097]) ).
tcf(c_43716,plain,
tl(cons(sK6,iPr_def_11)) = iPr_def_11,
inference(superposition,[status(thm)],[c_12859,c_14097]) ).
tcf(c_43717,plain,
tl(cons(sK6,iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_18402,c_14097]) ).
tcf(c_43718,plain,
tl(cons(sK6,cons(sK57,sK56))) = cons(sK57,sK56),
inference(superposition,[status(thm)],[c_38969,c_14097]) ).
tcf(c_43719,plain,
tl(cons(sK6,cons(sK57,sK59))) = cons(sK57,sK59),
inference(superposition,[status(thm)],[c_42671,c_14097]) ).
tcf(c_43720,plain,
( ( nil = sK56 )
| ( tl(cons(sK6,tl(sK56))) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15456,c_14097]) ).
tcf(c_43721,plain,
( ( nil = sK59 )
| ( tl(cons(sK6,tl(sK59))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15493,c_14097]) ).
tcf(c_43722,plain,
( ( nil = sK58 )
| ( tl(cons(sK6,tl(sK58))) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15877,c_14097]) ).
tcf(c_43723,plain,
tl(cons(sK6,tl(iPr_def_10))) = tl(iPr_def_10),
inference(superposition,[status(thm)],[c_27333,c_14097]) ).
tcf(c_43724,plain,
tl(cons(sK6,tl(iPr_def_12))) = tl(iPr_def_12),
inference(superposition,[status(thm)],[c_19130,c_14097]) ).
tcf(c_43725,plain,
tl(cons(sK6,cons(sK57,app(sK56,sK56)))) = cons(sK57,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_39016,c_14097]) ).
tcf(c_43726,plain,
tl(cons(sK6,cons(sK57,app(sK59,sK56)))) = cons(sK57,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_42723,c_14097]) ).
tcf(c_43727,plain,
( ( tl(cons(sK6,cons(sK57,app(sK58,sK56)))) = cons(sK57,app(sK58,sK56)) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_14097]) ).
tcf(c_43728,plain,
tl(cons(sK6,cons(sK57,app(sK56,sK59)))) = cons(sK57,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_41916,c_14097]) ).
tcf(c_43729,plain,
tl(cons(sK6,cons(sK57,app(sK59,sK59)))) = cons(sK57,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_43373,c_14097]) ).
tcf(c_43878,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK59),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_43607,c_173]) ).
tcf(c_43879,plain,
( ( app(sK59,sK59) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK59))
| ~ frontsegP(sK59,app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_43607,c_174]) ).
tcf(c_43880,plain,
( ( app(sK59,sK11(app(sK59,sK59),sK59)) = app(sK59,sK59) )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_43607,c_63]) ).
tcf(c_43881,plain,
( ( app(sK59,sK11(app(sK59,sK59),sK59)) = app(sK59,sK59) )
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43880,c_9003]) ).
tcf(c_43884,plain,
( ( app(sK59,sK59) = sK59 )
| ~ ssList(app(sK59,sK59))
| ~ frontsegP(sK59,app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43879,c_9003]) ).
tcf(c_43888,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43878,c_9003]) ).
tcf(c_43934,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK56),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_43673,c_173]) ).
tcf(c_43935,plain,
( ( app(sK59,sK56) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK56))
| ~ frontsegP(sK59,app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_43673,c_174]) ).
tcf(c_43936,plain,
( ( app(sK59,sK11(app(sK59,sK56),sK59)) = app(sK59,sK56) )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_43673,c_63]) ).
tcf(c_43937,plain,
( ( app(sK59,sK11(app(sK59,sK56),sK59)) = app(sK59,sK56) )
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43936,c_9003]) ).
tcf(c_43940,plain,
( ( app(sK59,sK56) = sK59 )
| ~ ssList(app(sK59,sK56))
| ~ frontsegP(sK59,app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43935,c_9003]) ).
tcf(c_43944,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43934,c_9003]) ).
tcf(c_43950,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_41654,c_67]) ).
tcf(c_43953,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_41654,c_167]) ).
tcf(c_43954,plain,
( ( cons(sK57,sK58) = nil )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_41654,c_231]) ).
tcf(c_43955,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_41654,c_230]) ).
tcf(c_43956,plain,
( frontsegP(cons(sK57,app(sK58,sK59)),cons(sK57,sK58))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_41654,c_386]) ).
tcf(c_43957,plain,
( rearsegP(cons(sK57,app(sK58,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_41654,c_383]) ).
tcf(c_43958,plain,
( ssList(cons(sK57,app(sK58,sK59)))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_41654,c_153]) ).
tcf(c_43959,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_41654,c_225]) ).
tcf(c_43960,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_41654,c_226]) ).
tcf(c_43961,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_41654,c_176]) ).
tcf(c_43962,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_41654,c_165]) ).
tcf(c_43963,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_41654,c_193]) ).
tcf(c_43964,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_41654,c_186]) ).
tcf(c_43965,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_41654,c_166]) ).
tcf(c_43966,plain,
( ( cons(sK57,sK58) = iPr_def_12 )
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_41654,c_25424]) ).
tcf(c_43967,plain,
( ( cons(sK57,sK58) = nil )
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_41654,c_25408]) ).
tcf(c_43968,plain,
( ssList(cons(sK57,app(sK58,sK59)))
| ~ ssList(cons(sK57,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43958,c_9003]) ).
tcf(c_43971,plain,
( rearsegP(cons(sK57,app(sK58,sK59)),sK59)
| ~ ssList(cons(sK57,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43957,c_9003]) ).
tcf(c_43974,plain,
( frontsegP(cons(sK57,app(sK58,sK59)),cons(sK57,sK58))
| ~ ssList(cons(sK57,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43956,c_9003]) ).
tcf(c_43983,plain,
( ( nil = sK59 )
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43955,c_9003]) ).
tcf(c_43987,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_43965,c_9003]) ).
tcf(c_43992,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_43964,c_9003]) ).
tcf(c_43997,plain,
( ( cons(sK57,sK58) = nil )
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43954,c_9003]) ).
tcf(c_44001,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_43962,c_9003]) ).
tcf(c_44006,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_43961,c_9003]) ).
tcf(c_44011,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_43963,c_9003]) ).
tcf(c_44017,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_43953,c_9003]) ).
tcf(c_44023,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_43960,c_9003]) ).
tcf(c_44028,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_43959,c_9003]) ).
tcf(c_44033,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_43950,c_41654]) ).
tcf(c_44034,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_44033,c_9003]) ).
tcf(c_44081,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_43968,c_228]) ).
tcf(c_44082,plain,
( ( tl(cons(sK6,cons(sK57,app(sK58,sK59)))) = cons(sK57,app(sK58,sK59)) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_43968,c_14097]) ).
tcf(c_44083,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_43968,c_37536]) ).
tcf(c_44084,plain,
( ( hd(cons(sK7,cons(sK57,app(sK58,sK59)))) = sK7 )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_43968,c_13924]) ).
tcf(c_44085,plain,
( ( hd(cons(sK6,cons(sK57,app(sK58,sK59)))) = sK6 )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_43968,c_13923]) ).
tcf(c_44086,plain,
( ( cons(sK57,app(cons(sK57,app(sK58,sK59)),sK56)) = app(cons(sK57,cons(sK57,app(sK58,sK59))),sK56) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_43968,c_37535]) ).
tcf(c_44087,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_43968,c_22705]) ).
tcf(c_44088,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_43968,c_21826]) ).
tcf(c_44089,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_43968,c_21825]) ).
tcf(c_44090,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_43968,c_21824]) ).
tcf(c_44091,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_43968,c_124]) ).
tcf(c_44092,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_43968,c_116]) ).
tcf(c_44093,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_43968,c_108]) ).
tcf(c_44094,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,app(sK58,sK59)))) = hd(sK58) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_43968,c_19350]) ).
tcf(c_44095,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_43968,c_234]) ).
tcf(c_44096,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK58,sK59)))) = hd(sK59) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_43968,c_19349]) ).
tcf(c_44097,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK58,sK59)))) = hd(sK56) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_43968,c_19348]) ).
tcf(c_44098,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_43968,c_132]) ).
tcf(c_44099,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_43968,c_233]) ).
tcf(c_44100,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_43968,c_224]) ).
tcf(c_44101,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_43968,c_147]) ).
tcf(c_44102,plain,
( ( tl(cons(sK57,cons(sK57,app(sK58,sK59)))) = cons(sK57,app(sK58,sK59)) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_43968,c_14117]) ).
tcf(c_44103,plain,
( ( hd(cons(sK57,cons(sK57,app(sK58,sK59)))) = sK57 )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_43968,c_13943]) ).
tcf(c_44104,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_43968,c_222]) ).
tcf(c_44105,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_43968,c_220]) ).
tcf(c_44106,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_43968,c_123]) ).
tcf(c_44107,plain,
( ( app(cons(sK57,app(sK58,sK59)),nil) = cons(sK57,app(sK58,sK59)) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_43968,c_232]) ).
tcf(c_44108,plain,
( ( app(nil,cons(sK57,app(sK58,sK59))) = cons(sK57,app(sK58,sK59)) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_43968,c_155]) ).
tcf(c_44255,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_42682,c_57]) ).
tcf(c_44256,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_42682,c_12668]) ).
tcf(c_44258,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_44256,c_42671]) ).
tcf(c_44262,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_44255,c_42671]) ).
tcf(c_44274,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_42686,c_183]) ).
tcf(c_44275,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_42686,c_184]) ).
tcf(c_44276,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_42686,c_66]) ).
tcf(c_44277,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_44276,c_42671]) ).
tcf(c_44281,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ rearsegP(X0,cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44275,c_42671]) ).
tcf(c_44286,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_44274,c_42671]) ).
tcf(c_44301,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_42690,c_57]) ).
tcf(c_44302,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_42690,c_12668]) ).
tcf(c_44303,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ( X0 = sK57 )
| ~ ssList(sK59)
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_42690,c_170]) ).
tcf(c_44305,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_44302,c_42671]) ).
tcf(c_44309,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_44301,c_42671]) ).
tcf(c_44323,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_42694,c_173]) ).
tcf(c_44324,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_42694,c_174]) ).
tcf(c_44325,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_42694,c_63]) ).
tcf(c_44326,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_42694,c_178]) ).
tcf(c_44327,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_42694,c_179]) ).
tcf(c_44329,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_44325,c_42671]) ).
tcf(c_44333,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_44324,c_42671]) ).
tcf(c_44338,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_44323,c_42671]) ).
tcf(c_44344,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_44327,c_9003,c_8999]) ).
tcf(c_44379,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_15839,c_223]) ).
tcf(c_44380,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_15839,c_212]) ).
tcf(c_44381,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_15839,c_206]) ).
tcf(c_44410,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_14098]) ).
tcf(c_44411,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_14098]) ).
tcf(c_44412,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_14098]) ).
tcf(c_44413,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_14098]) ).
tcf(c_44414,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_14098]) ).
tcf(c_44415,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_14098]) ).
tcf(c_44416,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_14098]) ).
tcf(c_44426,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK7,sK34(X0))) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_14098]) ).
tcf(c_44427,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK7,sK33(X0))) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_14098]) ).
tcf(c_44428,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK7,sK32(X0))) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_14098]) ).
tcf(c_44429,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK7,sK39(X0))) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_14098]) ).
tcf(c_44430,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK7,sK38(X0))) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_14098]) ).
tcf(c_44431,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK7,sK37(X0))) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_14098]) ).
tcf(c_44432,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK7,sK44(X0))) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_14098]) ).
tcf(c_44433,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK7,sK43(X0))) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_14098]) ).
tcf(c_44434,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK7,sK42(X0))) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_14098]) ).
tcf(c_44435,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( tl(cons(sK7,sK48(X0))) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_14098]) ).
tcf(c_44436,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( tl(cons(sK7,sK47(X0))) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_14098]) ).
tcf(c_44437,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_14098]) ).
tcf(c_44438,plain,
tl(cons(sK7,nil)) = nil,
inference(superposition,[status(thm)],[c_141,c_14098]) ).
tcf(c_44439,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK7,sK49(X0))) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_14098]) ).
tcf(c_44440,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK7,tl(X0))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_14098]) ).
tcf(c_44441,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK7,sK52(X0))) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_14098]) ).
tcf(c_44442,plain,
tl(cons(sK7,sK56)) = sK56,
inference(superposition,[status(thm)],[c_9004,c_14098]) ).
tcf(c_44443,plain,
tl(cons(sK7,sK59)) = sK59,
inference(superposition,[status(thm)],[c_9003,c_14098]) ).
tcf(c_44444,plain,
tl(cons(sK7,sK58)) = sK58,
inference(superposition,[status(thm)],[c_9000,c_14098]) ).
tcf(c_44445,plain,
tl(cons(sK7,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_12995,c_14098]) ).
tcf(c_44446,plain,
tl(cons(sK7,iPr_def_11)) = iPr_def_11,
inference(superposition,[status(thm)],[c_12859,c_14098]) ).
tcf(c_44447,plain,
tl(cons(sK7,iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_18402,c_14098]) ).
tcf(c_44448,plain,
tl(cons(sK7,cons(sK57,sK56))) = cons(sK57,sK56),
inference(superposition,[status(thm)],[c_38969,c_14098]) ).
tcf(c_44449,plain,
tl(cons(sK7,cons(sK57,sK59))) = cons(sK57,sK59),
inference(superposition,[status(thm)],[c_42671,c_14098]) ).
tcf(c_44450,plain,
( ( nil = sK56 )
| ( tl(cons(sK7,tl(sK56))) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15456,c_14098]) ).
tcf(c_44451,plain,
( ( nil = sK59 )
| ( tl(cons(sK7,tl(sK59))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15493,c_14098]) ).
tcf(c_44452,plain,
( ( nil = sK58 )
| ( tl(cons(sK7,tl(sK58))) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15877,c_14098]) ).
tcf(c_44453,plain,
tl(cons(sK7,tl(iPr_def_10))) = tl(iPr_def_10),
inference(superposition,[status(thm)],[c_27333,c_14098]) ).
tcf(c_44454,plain,
tl(cons(sK7,tl(iPr_def_12))) = tl(iPr_def_12),
inference(superposition,[status(thm)],[c_19130,c_14098]) ).
tcf(c_44455,plain,
tl(cons(sK7,cons(sK57,app(sK56,sK56)))) = cons(sK57,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_39016,c_14098]) ).
tcf(c_44456,plain,
tl(cons(sK7,cons(sK57,app(sK59,sK56)))) = cons(sK57,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_42723,c_14098]) ).
tcf(c_44457,plain,
( ( tl(cons(sK7,cons(sK57,app(sK58,sK56)))) = cons(sK57,app(sK58,sK56)) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_14098]) ).
tcf(c_44458,plain,
tl(cons(sK7,cons(sK57,app(sK56,sK59)))) = cons(sK57,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_41916,c_14098]) ).
tcf(c_44459,plain,
tl(cons(sK7,cons(sK57,app(sK59,sK59)))) = cons(sK57,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_43373,c_14098]) ).
tcf(c_44460,plain,
( ( tl(cons(sK7,cons(sK57,app(sK58,sK59)))) = cons(sK57,app(sK58,sK59)) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_43968,c_14098]) ).
tcf(c_44733,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_43080,c_67]) ).
tcf(c_44736,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_43080,c_167]) ).
tcf(c_44739,plain,
( frontsegP(cons(sK57,sK59),sK12(cons(sK57,sK59),sK59))
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK57,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_43080,c_386]) ).
tcf(c_44742,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_43080,c_225]) ).
tcf(c_44743,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_43080,c_226]) ).
tcf(c_44744,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_43080,c_176]) ).
tcf(c_44745,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_43080,c_165]) ).
tcf(c_44746,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_43080,c_193]) ).
tcf(c_44747,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_43080,c_186]) ).
tcf(c_44748,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_43080,c_166]) ).
tcf(c_44749,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_43080,c_25424]) ).
tcf(c_44751,plain,
( frontsegP(cons(sK57,sK59),sK12(cons(sK57,sK59),sK59))
| ~ ssList(sK12(cons(sK57,sK59),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44739,c_9003]) ).
tcf(c_44759,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_44745,c_9003]) ).
tcf(c_44764,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_44744,c_9003]) ).
tcf(c_44770,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_44736,c_9003]) ).
tcf(c_44776,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_44743,c_9003]) ).
tcf(c_44781,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_44742,c_9003]) ).
tcf(c_44786,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_44733,c_43080]) ).
tcf(c_44787,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_44786,c_9003]) ).
tcf(c_44809,plain,
~ rearsegP(sK59,cons(sK57,sK59)),
inference(global_subsumption_just,[status(thm)],[c_43081,c_42674,c_43081]) ).
tcf(c_44815,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_43971,c_183]) ).
tcf(c_44816,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_43971,c_184]) ).
tcf(c_44817,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_43971,c_66]) ).
tcf(c_44819,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_44817,c_9003]) ).
tcf(c_44823,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_44816,c_9003]) ).
tcf(c_44834,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK56,sK59)),X0),cons(X0,sK9(cons(sK57,app(sK56,sK59)),X0))) = cons(sK57,app(sK56,sK59)) )
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(cons(sK57,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_41926,c_57]) ).
tcf(c_44835,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK56,sK59)),X0)) = sK8(cons(sK57,app(sK56,sK59)),X0) )
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(cons(sK57,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_41926,c_12668]) ).
tcf(c_44836,plain,
! [X0: $i] :
( memberP(app(sK56,sK59),X0)
| ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_41926,c_170]) ).
tcf(c_44837,plain,
! [X0: $i] :
( memberP(app(sK56,sK59),X0)
| ( X0 = sK57 )
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44836,c_8999]) ).
tcf(c_44843,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK56,sK59)),X0)) = sK8(cons(sK57,app(sK56,sK59)),X0) )
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44835,c_41916]) ).
tcf(c_44847,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK56,sK59)),X0),cons(X0,sK9(cons(sK57,app(sK56,sK59)),X0))) = cons(sK57,app(sK56,sK59)) )
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44834,c_41916]) ).
tcf(c_44865,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_41930,c_183]) ).
tcf(c_44866,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_41930,c_184]) ).
tcf(c_44867,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_41930,c_66]) ).
tcf(c_44868,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_44865,c_41916]) ).
tcf(c_44874,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_44867,c_41916]) ).
tcf(c_44878,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_44866,c_41916]) ).
tcf(c_44915,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK59,sK59)),X0),cons(X0,sK9(cons(sK57,app(sK59,sK59)),X0))) = cons(sK57,app(sK59,sK59)) )
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(cons(sK57,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_43383,c_57]) ).
tcf(c_44916,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK59,sK59)),X0)) = sK8(cons(sK57,app(sK59,sK59)),X0) )
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(cons(sK57,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_43383,c_12668]) ).
tcf(c_44917,plain,
! [X0: $i] :
( memberP(app(sK59,sK59),X0)
| ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_43383,c_170]) ).
tcf(c_44918,plain,
! [X0: $i] :
( memberP(app(sK59,sK59),X0)
| ( X0 = sK57 )
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44917,c_8999]) ).
tcf(c_44924,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK59,sK59)),X0)) = sK8(cons(sK57,app(sK59,sK59)),X0) )
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44916,c_43373]) ).
tcf(c_44928,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK59,sK59)),X0),cons(X0,sK9(cons(sK57,app(sK59,sK59)),X0))) = cons(sK57,app(sK59,sK59)) )
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44915,c_43373]) ).
tcf(c_45008,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_43387,c_183]) ).
tcf(c_45009,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_43387,c_184]) ).
tcf(c_45010,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_43387,c_66]) ).
tcf(c_45011,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_45008,c_43373]) ).
tcf(c_45017,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_45010,c_43373]) ).
tcf(c_45021,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_45009,c_43373]) ).
tcf(c_45035,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_43623,c_183]) ).
tcf(c_45036,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_43623,c_184]) ).
tcf(c_45037,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_43623,c_66]) ).
tcf(c_45038,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_45035,c_42723]) ).
tcf(c_45044,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_45037,c_42723]) ).
tcf(c_45048,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_45036,c_42723]) ).
tcf(c_45062,plain,
( ssList(tl(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(tl(sK59)) ),
inference(superposition,[status(thm)],[c_15840,c_221]) ).
tcf(c_45164,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_39771,c_223]) ).
tcf(c_45165,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_39771,c_212]) ).
tcf(c_45166,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_39771,c_206]) ).
tcf(c_45179,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_45164,c_43723]) ).
tcf(c_45194,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_43974,c_174]) ).
tcf(c_45195,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_43974,c_63]) ).
tcf(c_45197,plain,
( frontsegP(app(sK58,sK59),sK58)
| ~ ssList(sK58)
| ~ ssItem(sK57)
| ~ ssList(app(sK58,sK59))
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_43974,c_179]) ).
tcf(c_45198,plain,
( frontsegP(app(sK58,sK59),sK58)
| ~ ssList(app(sK58,sK59))
| ~ ssList(cons(sK57,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45197,c_9000,c_8999]) ).
tcf(c_45213,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_37537]) ).
tcf(c_45214,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_37537]) ).
tcf(c_45215,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_37537]) ).
tcf(c_45216,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_37537]) ).
tcf(c_45217,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_37537]) ).
tcf(c_45218,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_37537]) ).
tcf(c_45219,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_37537]) ).
tcf(c_45229,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_37537]) ).
tcf(c_45230,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_37537]) ).
tcf(c_45231,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_37537]) ).
tcf(c_45232,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_37537]) ).
tcf(c_45233,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_37537]) ).
tcf(c_45234,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_37537]) ).
tcf(c_45235,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_37537]) ).
tcf(c_45236,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_37537]) ).
tcf(c_45237,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_37537]) ).
tcf(c_45238,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_37537]) ).
tcf(c_45239,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_37537]) ).
tcf(c_45240,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_37537]) ).
tcf(c_45241,plain,
cons(sK57,app(nil,sK58)) = app(cons(sK57,nil),sK58),
inference(superposition,[status(thm)],[c_141,c_37537]) ).
tcf(c_45242,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_37537]) ).
tcf(c_45243,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_37537]) ).
tcf(c_45244,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_37537]) ).
tcf(c_45245,plain,
cons(sK57,app(sK56,sK58)) = app(cons(sK57,sK56),sK58),
inference(superposition,[status(thm)],[c_9004,c_37537]) ).
tcf(c_45246,plain,
cons(sK57,app(sK59,sK58)) = app(cons(sK57,sK59),sK58),
inference(superposition,[status(thm)],[c_9003,c_37537]) ).
tcf(c_45247,plain,
cons(sK57,app(sK58,sK58)) = app(cons(sK57,sK58),sK58),
inference(superposition,[status(thm)],[c_9000,c_37537]) ).
tcf(c_45248,plain,
cons(sK57,app(iPr_def_12,sK58)) = app(cons(sK57,iPr_def_12),sK58),
inference(superposition,[status(thm)],[c_12995,c_37537]) ).
tcf(c_45249,plain,
cons(sK57,app(iPr_def_11,sK58)) = app(cons(sK57,iPr_def_11),sK58),
inference(superposition,[status(thm)],[c_12859,c_37537]) ).
tcf(c_45250,plain,
cons(sK57,app(iPr_def_10,sK58)) = app(cons(sK57,iPr_def_10),sK58),
inference(superposition,[status(thm)],[c_18402,c_37537]) ).
tcf(c_45251,plain,
cons(sK57,app(cons(sK57,sK56),sK58)) = app(cons(sK57,cons(sK57,sK56)),sK58),
inference(superposition,[status(thm)],[c_38969,c_37537]) ).
tcf(c_45252,plain,
cons(sK57,app(cons(sK57,sK59),sK58)) = app(cons(sK57,cons(sK57,sK59)),sK58),
inference(superposition,[status(thm)],[c_42671,c_37537]) ).
tcf(c_45253,plain,
( ( nil = sK56 )
| ( cons(sK57,app(tl(sK56),sK58)) = app(cons(sK57,tl(sK56)),sK58) ) ),
inference(superposition,[status(thm)],[c_15456,c_37537]) ).
tcf(c_45254,plain,
( ( nil = sK59 )
| ( cons(sK57,app(tl(sK59),sK58)) = app(cons(sK57,tl(sK59)),sK58) ) ),
inference(superposition,[status(thm)],[c_15493,c_37537]) ).
tcf(c_45255,plain,
( ( nil = sK58 )
| ( cons(sK57,app(tl(sK58),sK58)) = app(cons(sK57,tl(sK58)),sK58) ) ),
inference(superposition,[status(thm)],[c_15877,c_37537]) ).
tcf(c_45256,plain,
cons(sK57,app(tl(iPr_def_10),sK58)) = app(cons(sK57,tl(iPr_def_10)),sK58),
inference(superposition,[status(thm)],[c_27333,c_37537]) ).
tcf(c_45257,plain,
cons(sK57,app(tl(iPr_def_12),sK58)) = app(cons(sK57,tl(iPr_def_12)),sK58),
inference(superposition,[status(thm)],[c_19130,c_37537]) ).
tcf(c_45258,plain,
cons(sK57,app(cons(sK57,app(sK56,sK56)),sK58)) = app(cons(sK57,cons(sK57,app(sK56,sK56))),sK58),
inference(superposition,[status(thm)],[c_39016,c_37537]) ).
tcf(c_45259,plain,
cons(sK57,app(cons(sK57,app(sK59,sK56)),sK58)) = app(cons(sK57,cons(sK57,app(sK59,sK56))),sK58),
inference(superposition,[status(thm)],[c_42723,c_37537]) ).
tcf(c_45260,plain,
( ( cons(sK57,app(cons(sK57,app(sK58,sK56)),sK58)) = app(cons(sK57,cons(sK57,app(sK58,sK56))),sK58) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_39267,c_37537]) ).
tcf(c_45261,plain,
cons(sK57,app(cons(sK57,app(sK56,sK59)),sK58)) = app(cons(sK57,cons(sK57,app(sK56,sK59))),sK58),
inference(superposition,[status(thm)],[c_41916,c_37537]) ).
tcf(c_45262,plain,
cons(sK57,app(cons(sK57,app(sK59,sK59)),sK58)) = app(cons(sK57,cons(sK57,app(sK59,sK59))),sK58),
inference(superposition,[status(thm)],[c_43373,c_37537]) ).
tcf(c_45263,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_43968,c_37537]) ).
tcf(c_45264,plain,
cons(sK57,sK58) = app(iPr_def_11,sK58),
inference(light_normalisation,[status(thm)],[c_45241,c_12692,c_35200]) ).
tcf(c_45615,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_45245,c_67]) ).
tcf(c_45618,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_45245,c_167]) ).
tcf(c_45619,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_45245,c_231]) ).
tcf(c_45620,plain,
( ( nil = sK58 )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_45245,c_230]) ).
tcf(c_45621,plain,
( frontsegP(cons(sK57,app(sK56,sK58)),cons(sK57,sK56))
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45245,c_386]) ).
tcf(c_45622,plain,
( rearsegP(cons(sK57,app(sK56,sK58)),sK58)
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45245,c_383]) ).
tcf(c_45623,plain,
( ssList(cons(sK57,app(sK56,sK58)))
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45245,c_153]) ).
tcf(c_45624,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_45245,c_225]) ).
tcf(c_45625,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_45245,c_226]) ).
tcf(c_45626,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_45245,c_176]) ).
tcf(c_45627,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_45245,c_165]) ).
tcf(c_45628,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_45245,c_193]) ).
tcf(c_45629,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_45245,c_186]) ).
tcf(c_45630,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_45245,c_166]) ).
tcf(c_45631,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK58)) != sK58 ) ),
inference(superposition,[status(thm)],[c_45245,c_25404]) ).
tcf(c_45632,plain,
ssList(cons(sK57,app(sK56,sK58))),
inference(forward_subsumption_resolution,[status(thm)],[c_45623,c_9000,c_38969]) ).
tcf(c_45633,plain,
rearsegP(cons(sK57,app(sK56,sK58)),sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_45622,c_9000,c_38969]) ).
tcf(c_45634,plain,
frontsegP(cons(sK57,app(sK56,sK58)),cons(sK57,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_45621,c_9000,c_38969]) ).
tcf(c_45635,plain,
cons(sK57,app(sK56,sK58)) != sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_45631,c_38976,c_38969]) ).
tcf(c_45639,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45630,c_9000,c_38969]) ).
tcf(c_45643,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45629,c_9000,c_38969]) ).
tcf(c_45647,plain,
cons(sK57,app(sK56,sK58)) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_45619,c_38976,c_9000,c_38969]) ).
tcf(c_45648,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45627,c_9000,c_38969]) ).
tcf(c_45652,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45626,c_9000,c_38969]) ).
tcf(c_45656,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK56,sK58)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45628,c_9000,c_38969]) ).
tcf(c_45661,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(cons(sK57,sK56),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK56,sK58)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45618,c_9000,c_38969]) ).
tcf(c_45666,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ( app(cons(sK57,sK56),X0) != cons(sK57,app(sK56,sK58)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45625,c_9000,c_38969]) ).
tcf(c_45670,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(X0)
| ( cons(sK57,app(sK56,sK58)) != app(X0,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45624,c_9000,c_38969]) ).
tcf(c_45674,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_45615,c_45245]) ).
tcf(c_45675,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK56,sK58)),X0),sK58)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,app(sK56,sK58)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45674,c_9000,c_38969]) ).
tcf(c_45706,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_45632,c_228]) ).
tcf(c_45707,plain,
cons(sK57,app(cons(sK57,app(sK56,sK58)),sK58)) = app(cons(sK57,cons(sK57,app(sK56,sK58))),sK58),
inference(superposition,[status(thm)],[c_45632,c_37537]) ).
tcf(c_45708,plain,
tl(cons(sK7,cons(sK57,app(sK56,sK58)))) = cons(sK57,app(sK56,sK58)),
inference(superposition,[status(thm)],[c_45632,c_14098]) ).
tcf(c_45709,plain,
tl(cons(sK6,cons(sK57,app(sK56,sK58)))) = cons(sK57,app(sK56,sK58)),
inference(superposition,[status(thm)],[c_45632,c_14097]) ).
tcf(c_45710,plain,
cons(sK57,app(cons(sK57,app(sK56,sK58)),sK59)) = app(cons(sK57,cons(sK57,app(sK56,sK58))),sK59),
inference(superposition,[status(thm)],[c_45632,c_37536]) ).
tcf(c_45711,plain,
hd(cons(sK7,cons(sK57,app(sK56,sK58)))) = sK7,
inference(superposition,[status(thm)],[c_45632,c_13924]) ).
tcf(c_45712,plain,
hd(cons(sK6,cons(sK57,app(sK56,sK58)))) = sK6,
inference(superposition,[status(thm)],[c_45632,c_13923]) ).
tcf(c_45713,plain,
cons(sK57,app(cons(sK57,app(sK56,sK58)),sK56)) = app(cons(sK57,cons(sK57,app(sK56,sK58))),sK56),
inference(superposition,[status(thm)],[c_45632,c_37535]) ).
tcf(c_45714,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_45632,c_22705]) ).
tcf(c_45715,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,app(sK56,sK58))) = tl(app(sK58,cons(sK57,app(sK56,sK58)))) ) ),
inference(superposition,[status(thm)],[c_45632,c_21826]) ).
tcf(c_45716,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK56,sK58))) = tl(app(sK59,cons(sK57,app(sK56,sK58)))) ) ),
inference(superposition,[status(thm)],[c_45632,c_21825]) ).
tcf(c_45717,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK56,sK58))) = tl(app(sK56,cons(sK57,app(sK56,sK58)))) ) ),
inference(superposition,[status(thm)],[c_45632,c_21824]) ).
tcf(c_45718,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_45632,c_124]) ).
tcf(c_45719,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_45632,c_116]) ).
tcf(c_45720,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_45632,c_108]) ).
tcf(c_45721,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,app(sK56,sK58)))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_45632,c_19350]) ).
tcf(c_45722,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_45632,c_234]) ).
tcf(c_45723,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK56,sK58)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_45632,c_19349]) ).
tcf(c_45724,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK56,sK58)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_45632,c_19348]) ).
tcf(c_45725,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_45632,c_132]) ).
tcf(c_45726,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_45632,c_233]) ).
tcf(c_45727,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_45632,c_224]) ).
tcf(c_45728,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_45632,c_147]) ).
tcf(c_45729,plain,
tl(cons(sK57,cons(sK57,app(sK56,sK58)))) = cons(sK57,app(sK56,sK58)),
inference(superposition,[status(thm)],[c_45632,c_14117]) ).
tcf(c_45730,plain,
hd(cons(sK57,cons(sK57,app(sK56,sK58)))) = sK57,
inference(superposition,[status(thm)],[c_45632,c_13943]) ).
tcf(c_45731,plain,
( ( cons(sK57,app(sK56,sK58)) = nil )
| ( tl(cons(sK57,app(sK56,sK58))) = sK52(cons(sK57,app(sK56,sK58))) ) ),
inference(superposition,[status(thm)],[c_45632,c_222]) ).
tcf(c_45732,plain,
( ( cons(sK57,app(sK56,sK58)) = nil )
| ( hd(cons(sK57,app(sK56,sK58))) = sK51(cons(sK57,app(sK56,sK58))) ) ),
inference(superposition,[status(thm)],[c_45632,c_220]) ).
tcf(c_45733,plain,
( duplicatefreeP(cons(sK57,app(sK56,sK58)))
| ( sK40(cons(sK57,app(sK56,sK58))) = sK41(cons(sK57,app(sK56,sK58))) ) ),
inference(superposition,[status(thm)],[c_45632,c_123]) ).
tcf(c_45734,plain,
app(cons(sK57,app(sK56,sK58)),nil) = cons(sK57,app(sK56,sK58)),
inference(superposition,[status(thm)],[c_45632,c_232]) ).
tcf(c_45735,plain,
app(nil,cons(sK57,app(sK56,sK58))) = cons(sK57,app(sK56,sK58)),
inference(superposition,[status(thm)],[c_45632,c_155]) ).
tcf(c_45831,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_45633,c_183]) ).
tcf(c_45832,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_45633,c_184]) ).
tcf(c_45833,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_45633,c_66]) ).
tcf(c_45835,plain,
app(sK12(cons(sK57,app(sK56,sK58)),sK58),sK58) = cons(sK57,app(sK56,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_45833,c_9000,c_45632]) ).
tcf(c_45836,plain,
( ( cons(sK57,app(sK56,sK58)) = sK58 )
| ~ rearsegP(sK58,cons(sK57,app(sK56,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45832,c_9000,c_45632]) ).
tcf(c_45841,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ frontsegP(cons(sK57,sK56),X0)
| ~ ssList(cons(sK57,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_45634,c_173]) ).
tcf(c_45842,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_45634,c_174]) ).
tcf(c_45843,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_45634,c_63]) ).
tcf(c_45845,plain,
( frontsegP(app(sK56,sK58),sK56)
| ~ ssList(sK56)
| ~ ssItem(sK57)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_45634,c_179]) ).
tcf(c_45846,plain,
( frontsegP(app(sK56,sK58),sK56)
| ~ ssList(app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45845,c_9004,c_8999]) ).
tcf(c_45850,plain,
app(cons(sK57,sK56),sK11(cons(sK57,app(sK56,sK58)),cons(sK57,sK56))) = cons(sK57,app(sK56,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_45843,c_38969,c_45632]) ).
tcf(c_45851,plain,
( ( cons(sK57,app(sK56,sK58)) = cons(sK57,sK56) )
| ~ frontsegP(cons(sK57,sK56),cons(sK57,app(sK56,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45842,c_38969,c_45632]) ).
tcf(c_45867,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK58),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_45846,c_173]) ).
tcf(c_45868,plain,
( ( app(sK56,sK58) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK58))
| ~ frontsegP(sK56,app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_45846,c_174]) ).
tcf(c_45869,plain,
( ( app(sK56,sK11(app(sK56,sK58),sK56)) = app(sK56,sK58) )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_45846,c_63]) ).
tcf(c_45870,plain,
( ( app(sK56,sK11(app(sK56,sK58),sK56)) = app(sK56,sK58) )
| ~ ssList(app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45869,c_9004]) ).
tcf(c_45873,plain,
( ( app(sK56,sK58) = sK56 )
| ~ ssList(app(sK56,sK58))
| ~ frontsegP(sK56,app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45868,c_9004]) ).
tcf(c_45877,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK58),X0)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45867,c_9004]) ).
tcf(c_45914,plain,
( ssItem(hd(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(tl(sK59)) ),
inference(superposition,[status(thm)],[c_15841,c_219]) ).
tcf(c_45919,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_45264,c_67]) ).
tcf(c_45922,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_45264,c_167]) ).
tcf(c_45923,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ( cons(sK57,sK58) != nil ) ),
inference(superposition,[status(thm)],[c_45264,c_231]) ).
tcf(c_45924,plain,
( ( nil = sK58 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ( cons(sK57,sK58) != nil ) ),
inference(superposition,[status(thm)],[c_45264,c_230]) ).
tcf(c_45925,plain,
( frontsegP(cons(sK57,sK58),iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_45264,c_386]) ).
tcf(c_45926,plain,
( rearsegP(cons(sK57,sK58),sK58)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_45264,c_383]) ).
tcf(c_45927,plain,
( ssList(cons(sK57,sK58))
| ~ ssList(iPr_def_11)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_45264,c_153]) ).
tcf(c_45928,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_45264,c_225]) ).
tcf(c_45929,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_45264,c_226]) ).
tcf(c_45930,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_45264,c_176]) ).
tcf(c_45931,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_45264,c_165]) ).
tcf(c_45932,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_45264,c_193]) ).
tcf(c_45933,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK58),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0) ),
inference(superposition,[status(thm)],[c_45264,c_186]) ).
tcf(c_45934,plain,
! [X0: $i] :
( memberP(cons(sK57,sK58),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(superposition,[status(thm)],[c_45264,c_166]) ).
tcf(c_45935,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ( cons(sK57,sK58) != sK58 ) ),
inference(superposition,[status(thm)],[c_45264,c_25404]) ).
tcf(c_45936,plain,
ssList(cons(sK57,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_45927,c_12859,c_9000]) ).
tcf(c_45937,plain,
rearsegP(cons(sK57,sK58),sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_45926,c_12859,c_9000]) ).
tcf(c_45938,plain,
frontsegP(cons(sK57,sK58),iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_45925,c_12859,c_9000]) ).
tcf(c_45939,plain,
cons(sK57,sK58) != sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_45935,c_13900,c_12859]) ).
tcf(c_45943,plain,
cons(sK57,sK58) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_45923,c_13900,c_12859,c_9000]) ).
tcf(c_45944,plain,
! [X0: $i] :
( memberP(cons(sK57,sK58),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45934,c_12859,c_9000]) ).
tcf(c_45948,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK58),X0)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45933,c_12859,c_9000]) ).
tcf(c_45952,plain,
! [X0: $i] :
( memberP(cons(sK57,sK58),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45931,c_12859,c_9000]) ).
tcf(c_45956,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK58),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45930,c_12859,c_9000]) ).
tcf(c_45960,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_45922,c_12859,c_9000]) ).
tcf(c_45965,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != cons(sK57,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45929,c_12859,c_9000]) ).
tcf(c_45969,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(X0,sK58) != cons(sK57,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45928,c_12859,c_9000]) ).
tcf(c_45973,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_45932,c_12859,c_9000]) ).
tcf(c_45978,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_45919,c_45264]) ).
tcf(c_45979,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_45978,c_12859,c_9000]) ).
tcf(c_45983,plain,
frontsegP(cons(sK57,app(sK58,sK59)),cons(sK57,sK58)),
inference(backward_subsumption_resolution,[status(thm)],[c_43974,c_45936]) ).
tcf(c_45984,plain,
rearsegP(cons(sK57,app(sK58,sK59)),sK59),
inference(backward_subsumption_resolution,[status(thm)],[c_43971,c_45936]) ).
tcf(c_45985,plain,
ssList(cons(sK57,app(sK58,sK59))),
inference(backward_subsumption_resolution,[status(thm)],[c_43968,c_45936]) ).
tcf(c_45986,plain,
frontsegP(cons(sK57,app(sK58,sK56)),cons(sK57,sK58)),
inference(backward_subsumption_resolution,[status(thm)],[c_39273,c_45936]) ).
tcf(c_45987,plain,
rearsegP(cons(sK57,app(sK58,sK56)),sK56),
inference(backward_subsumption_resolution,[status(thm)],[c_39270,c_45936]) ).
tcf(c_45988,plain,
ssList(cons(sK57,app(sK58,sK56))),
inference(backward_subsumption_resolution,[status(thm)],[c_39267,c_45936]) ).
tcf(c_46036,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_45936,c_228]) ).
tcf(c_46037,plain,
cons(sK57,app(cons(sK57,sK58),sK58)) = app(cons(sK57,cons(sK57,sK58)),sK58),
inference(superposition,[status(thm)],[c_45936,c_37537]) ).
tcf(c_46038,plain,
tl(cons(sK7,cons(sK57,sK58))) = cons(sK57,sK58),
inference(superposition,[status(thm)],[c_45936,c_14098]) ).
tcf(c_46039,plain,
tl(cons(sK6,cons(sK57,sK58))) = cons(sK57,sK58),
inference(superposition,[status(thm)],[c_45936,c_14097]) ).
tcf(c_46040,plain,
cons(sK57,app(cons(sK57,sK58),sK59)) = app(cons(sK57,cons(sK57,sK58)),sK59),
inference(superposition,[status(thm)],[c_45936,c_37536]) ).
tcf(c_46041,plain,
hd(cons(sK7,cons(sK57,sK58))) = sK7,
inference(superposition,[status(thm)],[c_45936,c_13924]) ).
tcf(c_46042,plain,
hd(cons(sK6,cons(sK57,sK58))) = sK6,
inference(superposition,[status(thm)],[c_45936,c_13923]) ).
tcf(c_46043,plain,
cons(sK57,app(cons(sK57,sK58),sK56)) = app(cons(sK57,cons(sK57,sK58)),sK56),
inference(superposition,[status(thm)],[c_45936,c_37535]) ).
tcf(c_46044,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,sK58))) = app(cons(sK57,X0),cons(sK57,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45936,c_22705]) ).
tcf(c_46045,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,sK58)) = tl(app(sK58,cons(sK57,sK58))) ) ),
inference(superposition,[status(thm)],[c_45936,c_21826]) ).
tcf(c_46046,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,sK58)) = tl(app(sK59,cons(sK57,sK58))) ) ),
inference(superposition,[status(thm)],[c_45936,c_21825]) ).
tcf(c_46047,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,sK58)) = tl(app(sK56,cons(sK57,sK58))) ) ),
inference(superposition,[status(thm)],[c_45936,c_21824]) ).
tcf(c_46048,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_45936,c_124]) ).
tcf(c_46049,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_45936,c_116]) ).
tcf(c_46050,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_45936,c_108]) ).
tcf(c_46051,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,sK58))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_45936,c_19350]) ).
tcf(c_46052,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_45936,c_234]) ).
tcf(c_46053,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,sK58))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_45936,c_19349]) ).
tcf(c_46054,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,sK58))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_45936,c_19348]) ).
tcf(c_46055,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_45936,c_132]) ).
tcf(c_46056,plain,
! [X0: $i] :
( ( cons(sK57,sK58) = nil )
| ( hd(app(cons(sK57,sK58),X0)) = hd(cons(sK57,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45936,c_233]) ).
tcf(c_46057,plain,
( ( cons(sK57,sK58) = nil )
| ( cons(hd(cons(sK57,sK58)),tl(cons(sK57,sK58))) = cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_45936,c_224]) ).
tcf(c_46058,plain,
( ( cons(sK57,sK58) = nil )
| ( cons(sK50(cons(sK57,sK58)),sK49(cons(sK57,sK58))) = cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_45936,c_147]) ).
tcf(c_46059,plain,
tl(cons(sK57,cons(sK57,sK58))) = cons(sK57,sK58),
inference(superposition,[status(thm)],[c_45936,c_14117]) ).
tcf(c_46060,plain,
hd(cons(sK57,cons(sK57,sK58))) = sK57,
inference(superposition,[status(thm)],[c_45936,c_13943]) ).
tcf(c_46061,plain,
( ( cons(sK57,sK58) = nil )
| ( tl(cons(sK57,sK58)) = sK52(cons(sK57,sK58)) ) ),
inference(superposition,[status(thm)],[c_45936,c_222]) ).
tcf(c_46062,plain,
( ( cons(sK57,sK58) = nil )
| ( hd(cons(sK57,sK58)) = sK51(cons(sK57,sK58)) ) ),
inference(superposition,[status(thm)],[c_45936,c_220]) ).
tcf(c_46063,plain,
( duplicatefreeP(cons(sK57,sK58))
| ( sK40(cons(sK57,sK58)) = sK41(cons(sK57,sK58)) ) ),
inference(superposition,[status(thm)],[c_45936,c_123]) ).
tcf(c_46064,plain,
app(cons(sK57,sK58),nil) = cons(sK57,sK58),
inference(superposition,[status(thm)],[c_45936,c_232]) ).
tcf(c_46065,plain,
app(nil,cons(sK57,sK58)) = cons(sK57,sK58),
inference(superposition,[status(thm)],[c_45936,c_155]) ).
tcf(c_46074,plain,
( ( cons(sK57,sK58) = nil )
| ( sK51(cons(sK57,sK58)) = sK57 ) ),
inference(light_normalisation,[status(thm)],[c_46062,c_14789]) ).
tcf(c_46077,plain,
( ( cons(sK57,sK58) = nil )
| ( sK52(cons(sK57,sK58)) = sK58 ) ),
inference(light_normalisation,[status(thm)],[c_46061,c_14961]) ).
tcf(c_46080,plain,
cons(sK57,cons(sK57,app(sK58,sK56))) = app(cons(sK57,cons(sK57,sK58)),sK56),
inference(light_normalisation,[status(thm)],[c_46043,c_38043]) ).
tcf(c_46081,plain,
cons(sK57,cons(sK57,app(sK58,sK59))) = app(cons(sK57,cons(sK57,sK58)),sK59),
inference(light_normalisation,[status(thm)],[c_46040,c_41654]) ).
tcf(c_46082,plain,
cons(sK57,cons(sK57,app(sK58,sK58))) = app(cons(sK57,cons(sK57,sK58)),sK58),
inference(light_normalisation,[status(thm)],[c_46037,c_45247]) ).
tcf(c_46094,plain,
! [X0: $i] :
( ( cons(sK57,sK58) = nil )
| ( hd(app(cons(sK57,sK58),X0)) = sK57 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_46056,c_14789]) ).
tcf(c_46101,plain,
! [X0: $i] :
( ( cons(sK57,sK58) = nil )
| ( tl(app(cons(sK57,sK58),X0)) = app(sK58,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_46052,c_14961]) ).
tcf(c_46199,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK58),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_45937,c_183]) ).
tcf(c_46200,plain,
( ( cons(sK57,sK58) = sK58 )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK58))
| ~ rearsegP(sK58,cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_45937,c_184]) ).
tcf(c_46201,plain,
( ( app(sK12(cons(sK57,sK58),sK58),sK58) = cons(sK57,sK58) )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_45937,c_66]) ).
tcf(c_46202,plain,
app(sK12(cons(sK57,sK58),sK58),sK58) = cons(sK57,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_46201,c_9000,c_45936]) ).
tcf(c_46203,plain,
( ( cons(sK57,sK58) = sK58 )
| ~ rearsegP(sK58,cons(sK57,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46200,c_9000,c_45936]) ).
tcf(c_46234,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_45938,c_173]) ).
tcf(c_46235,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_45938,c_174]) ).
tcf(c_46236,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_45938,c_63]) ).
tcf(c_46238,plain,
app(iPr_def_11,sK11(cons(sK57,sK58),iPr_def_11)) = cons(sK57,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_46236,c_12859,c_45936]) ).
tcf(c_46239,plain,
( ( cons(sK57,sK58) = iPr_def_11 )
| ~ frontsegP(iPr_def_11,cons(sK57,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46235,c_12859,c_45936]) ).
tcf(c_46312,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_45985,c_228]) ).
tcf(c_46313,plain,
cons(sK57,app(cons(sK57,app(sK58,sK59)),sK58)) = app(cons(sK57,cons(sK57,app(sK58,sK59))),sK58),
inference(superposition,[status(thm)],[c_45985,c_37537]) ).
tcf(c_46314,plain,
tl(cons(sK7,cons(sK57,app(sK58,sK59)))) = cons(sK57,app(sK58,sK59)),
inference(superposition,[status(thm)],[c_45985,c_14098]) ).
tcf(c_46315,plain,
tl(cons(sK6,cons(sK57,app(sK58,sK59)))) = cons(sK57,app(sK58,sK59)),
inference(superposition,[status(thm)],[c_45985,c_14097]) ).
tcf(c_46316,plain,
cons(sK57,app(cons(sK57,app(sK58,sK59)),sK59)) = app(cons(sK57,cons(sK57,app(sK58,sK59))),sK59),
inference(superposition,[status(thm)],[c_45985,c_37536]) ).
tcf(c_46317,plain,
hd(cons(sK7,cons(sK57,app(sK58,sK59)))) = sK7,
inference(superposition,[status(thm)],[c_45985,c_13924]) ).
tcf(c_46318,plain,
hd(cons(sK6,cons(sK57,app(sK58,sK59)))) = sK6,
inference(superposition,[status(thm)],[c_45985,c_13923]) ).
tcf(c_46319,plain,
cons(sK57,app(cons(sK57,app(sK58,sK59)),sK56)) = app(cons(sK57,cons(sK57,app(sK58,sK59))),sK56),
inference(superposition,[status(thm)],[c_45985,c_37535]) ).
tcf(c_46320,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_45985,c_22705]) ).
tcf(c_46321,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,app(sK58,sK59))) = tl(app(sK58,cons(sK57,app(sK58,sK59)))) ) ),
inference(superposition,[status(thm)],[c_45985,c_21826]) ).
tcf(c_46322,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK58,sK59))) = tl(app(sK59,cons(sK57,app(sK58,sK59)))) ) ),
inference(superposition,[status(thm)],[c_45985,c_21825]) ).
tcf(c_46323,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK58,sK59))) = tl(app(sK56,cons(sK57,app(sK58,sK59)))) ) ),
inference(superposition,[status(thm)],[c_45985,c_21824]) ).
tcf(c_46324,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_45985,c_124]) ).
tcf(c_46325,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_45985,c_116]) ).
tcf(c_46326,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_45985,c_108]) ).
tcf(c_46327,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,app(sK58,sK59)))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_45985,c_19350]) ).
tcf(c_46328,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_45985,c_234]) ).
tcf(c_46329,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK58,sK59)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_45985,c_19349]) ).
tcf(c_46330,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK58,sK59)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_45985,c_19348]) ).
tcf(c_46331,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_45985,c_132]) ).
tcf(c_46332,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_45985,c_233]) ).
tcf(c_46333,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_45985,c_224]) ).
tcf(c_46334,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_45985,c_147]) ).
tcf(c_46335,plain,
tl(cons(sK57,cons(sK57,app(sK58,sK59)))) = cons(sK57,app(sK58,sK59)),
inference(superposition,[status(thm)],[c_45985,c_14117]) ).
tcf(c_46336,plain,
hd(cons(sK57,cons(sK57,app(sK58,sK59)))) = sK57,
inference(superposition,[status(thm)],[c_45985,c_13943]) ).
tcf(c_46337,plain,
( ( cons(sK57,app(sK58,sK59)) = nil )
| ( tl(cons(sK57,app(sK58,sK59))) = sK52(cons(sK57,app(sK58,sK59))) ) ),
inference(superposition,[status(thm)],[c_45985,c_222]) ).
tcf(c_46338,plain,
( ( cons(sK57,app(sK58,sK59)) = nil )
| ( hd(cons(sK57,app(sK58,sK59))) = sK51(cons(sK57,app(sK58,sK59))) ) ),
inference(superposition,[status(thm)],[c_45985,c_220]) ).
tcf(c_46339,plain,
( duplicatefreeP(cons(sK57,app(sK58,sK59)))
| ( sK40(cons(sK57,app(sK58,sK59))) = sK41(cons(sK57,app(sK58,sK59))) ) ),
inference(superposition,[status(thm)],[c_45985,c_123]) ).
tcf(c_46340,plain,
app(cons(sK57,app(sK58,sK59)),nil) = cons(sK57,app(sK58,sK59)),
inference(superposition,[status(thm)],[c_45985,c_232]) ).
tcf(c_46341,plain,
app(nil,cons(sK57,app(sK58,sK59))) = cons(sK57,app(sK58,sK59)),
inference(superposition,[status(thm)],[c_45985,c_155]) ).
tcf(c_46406,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_45988,c_228]) ).
tcf(c_46407,plain,
cons(sK57,app(cons(sK57,app(sK58,sK56)),sK58)) = app(cons(sK57,cons(sK57,app(sK58,sK56))),sK58),
inference(superposition,[status(thm)],[c_45988,c_37537]) ).
tcf(c_46408,plain,
tl(cons(sK7,cons(sK57,app(sK58,sK56)))) = cons(sK57,app(sK58,sK56)),
inference(superposition,[status(thm)],[c_45988,c_14098]) ).
tcf(c_46409,plain,
tl(cons(sK6,cons(sK57,app(sK58,sK56)))) = cons(sK57,app(sK58,sK56)),
inference(superposition,[status(thm)],[c_45988,c_14097]) ).
tcf(c_46410,plain,
cons(sK57,app(cons(sK57,app(sK58,sK56)),sK59)) = app(cons(sK57,cons(sK57,app(sK58,sK56))),sK59),
inference(superposition,[status(thm)],[c_45988,c_37536]) ).
tcf(c_46411,plain,
hd(cons(sK7,cons(sK57,app(sK58,sK56)))) = sK7,
inference(superposition,[status(thm)],[c_45988,c_13924]) ).
tcf(c_46412,plain,
hd(cons(sK6,cons(sK57,app(sK58,sK56)))) = sK6,
inference(superposition,[status(thm)],[c_45988,c_13923]) ).
tcf(c_46413,plain,
cons(sK57,app(cons(sK57,app(sK58,sK56)),sK56)) = app(cons(sK57,cons(sK57,app(sK58,sK56))),sK56),
inference(superposition,[status(thm)],[c_45988,c_37535]) ).
tcf(c_46414,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_45988,c_22705]) ).
tcf(c_46415,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,app(sK58,sK56))) = tl(app(sK58,cons(sK57,app(sK58,sK56)))) ) ),
inference(superposition,[status(thm)],[c_45988,c_21826]) ).
tcf(c_46416,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK58,sK56))) = tl(app(sK59,cons(sK57,app(sK58,sK56)))) ) ),
inference(superposition,[status(thm)],[c_45988,c_21825]) ).
tcf(c_46417,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK58,sK56))) = tl(app(sK56,cons(sK57,app(sK58,sK56)))) ) ),
inference(superposition,[status(thm)],[c_45988,c_21824]) ).
tcf(c_46418,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_45988,c_124]) ).
tcf(c_46419,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_45988,c_116]) ).
tcf(c_46420,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_45988,c_108]) ).
tcf(c_46421,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,app(sK58,sK56)))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_45988,c_19350]) ).
tcf(c_46422,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_45988,c_234]) ).
tcf(c_46423,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK58,sK56)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_45988,c_19349]) ).
tcf(c_46424,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK58,sK56)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_45988,c_19348]) ).
tcf(c_46425,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_45988,c_132]) ).
tcf(c_46426,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_45988,c_233]) ).
tcf(c_46427,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_45988,c_224]) ).
tcf(c_46428,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_45988,c_147]) ).
tcf(c_46429,plain,
tl(cons(sK57,cons(sK57,app(sK58,sK56)))) = cons(sK57,app(sK58,sK56)),
inference(superposition,[status(thm)],[c_45988,c_14117]) ).
tcf(c_46430,plain,
hd(cons(sK57,cons(sK57,app(sK58,sK56)))) = sK57,
inference(superposition,[status(thm)],[c_45988,c_13943]) ).
tcf(c_46431,plain,
( ( cons(sK57,app(sK58,sK56)) = nil )
| ( tl(cons(sK57,app(sK58,sK56))) = sK52(cons(sK57,app(sK58,sK56))) ) ),
inference(superposition,[status(thm)],[c_45988,c_222]) ).
tcf(c_46432,plain,
( ( cons(sK57,app(sK58,sK56)) = nil )
| ( hd(cons(sK57,app(sK58,sK56))) = sK51(cons(sK57,app(sK58,sK56))) ) ),
inference(superposition,[status(thm)],[c_45988,c_220]) ).
tcf(c_46433,plain,
( duplicatefreeP(cons(sK57,app(sK58,sK56)))
| ( sK40(cons(sK57,app(sK58,sK56))) = sK41(cons(sK57,app(sK58,sK56))) ) ),
inference(superposition,[status(thm)],[c_45988,c_123]) ).
tcf(c_46434,plain,
app(cons(sK57,app(sK58,sK56)),nil) = cons(sK57,app(sK58,sK56)),
inference(superposition,[status(thm)],[c_45988,c_232]) ).
tcf(c_46435,plain,
app(nil,cons(sK57,app(sK58,sK56))) = cons(sK57,app(sK58,sK56)),
inference(superposition,[status(thm)],[c_45988,c_155]) ).
tcf(c_46628,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_45246,c_67]) ).
tcf(c_46631,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_45246,c_167]) ).
tcf(c_46632,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_45246,c_231]) ).
tcf(c_46633,plain,
( ( nil = sK58 )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_45246,c_230]) ).
tcf(c_46634,plain,
( frontsegP(cons(sK57,app(sK59,sK58)),cons(sK57,sK59))
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_45246,c_386]) ).
tcf(c_46635,plain,
( rearsegP(cons(sK57,app(sK59,sK58)),sK58)
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_45246,c_383]) ).
tcf(c_46636,plain,
( ssList(cons(sK57,app(sK59,sK58)))
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_45246,c_153]) ).
tcf(c_46637,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_45246,c_225]) ).
tcf(c_46638,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_45246,c_226]) ).
tcf(c_46639,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_45246,c_176]) ).
tcf(c_46640,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_45246,c_165]) ).
tcf(c_46641,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_45246,c_193]) ).
tcf(c_46642,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_45246,c_186]) ).
tcf(c_46643,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_45246,c_166]) ).
tcf(c_46644,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK58)) != sK58 ) ),
inference(superposition,[status(thm)],[c_45246,c_25404]) ).
tcf(c_46645,plain,
ssList(cons(sK57,app(sK59,sK58))),
inference(forward_subsumption_resolution,[status(thm)],[c_46636,c_9000,c_42671]) ).
tcf(c_46646,plain,
rearsegP(cons(sK57,app(sK59,sK58)),sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_46635,c_9000,c_42671]) ).
tcf(c_46647,plain,
frontsegP(cons(sK57,app(sK59,sK58)),cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_46634,c_9000,c_42671]) ).
tcf(c_46648,plain,
cons(sK57,app(sK59,sK58)) != sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_46644,c_42681,c_42671]) ).
tcf(c_46652,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46643,c_9000,c_42671]) ).
tcf(c_46656,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK58)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46642,c_9000,c_42671]) ).
tcf(c_46660,plain,
cons(sK57,app(sK59,sK58)) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_46632,c_42681,c_9000,c_42671]) ).
tcf(c_46661,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46640,c_9000,c_42671]) ).
tcf(c_46665,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK59,sK58)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46639,c_9000,c_42671]) ).
tcf(c_46669,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_46641,c_9000,c_42671]) ).
tcf(c_46674,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_46631,c_9000,c_42671]) ).
tcf(c_46679,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ( app(cons(sK57,sK59),X0) != cons(sK57,app(sK59,sK58)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46638,c_9000,c_42671]) ).
tcf(c_46683,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(X0)
| ( cons(sK57,app(sK59,sK58)) != app(X0,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46637,c_9000,c_42671]) ).
tcf(c_46687,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_46628,c_45246]) ).
tcf(c_46688,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_46687,c_9000,c_42671]) ).
tcf(c_46701,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_46645,c_228]) ).
tcf(c_46702,plain,
cons(sK57,app(cons(sK57,app(sK59,sK58)),sK58)) = app(cons(sK57,cons(sK57,app(sK59,sK58))),sK58),
inference(superposition,[status(thm)],[c_46645,c_37537]) ).
tcf(c_46703,plain,
tl(cons(sK7,cons(sK57,app(sK59,sK58)))) = cons(sK57,app(sK59,sK58)),
inference(superposition,[status(thm)],[c_46645,c_14098]) ).
tcf(c_46704,plain,
tl(cons(sK6,cons(sK57,app(sK59,sK58)))) = cons(sK57,app(sK59,sK58)),
inference(superposition,[status(thm)],[c_46645,c_14097]) ).
tcf(c_46705,plain,
cons(sK57,app(cons(sK57,app(sK59,sK58)),sK59)) = app(cons(sK57,cons(sK57,app(sK59,sK58))),sK59),
inference(superposition,[status(thm)],[c_46645,c_37536]) ).
tcf(c_46706,plain,
hd(cons(sK7,cons(sK57,app(sK59,sK58)))) = sK7,
inference(superposition,[status(thm)],[c_46645,c_13924]) ).
tcf(c_46707,plain,
hd(cons(sK6,cons(sK57,app(sK59,sK58)))) = sK6,
inference(superposition,[status(thm)],[c_46645,c_13923]) ).
tcf(c_46708,plain,
cons(sK57,app(cons(sK57,app(sK59,sK58)),sK56)) = app(cons(sK57,cons(sK57,app(sK59,sK58))),sK56),
inference(superposition,[status(thm)],[c_46645,c_37535]) ).
tcf(c_46709,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_46645,c_22705]) ).
tcf(c_46710,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,app(sK59,sK58))) = tl(app(sK58,cons(sK57,app(sK59,sK58)))) ) ),
inference(superposition,[status(thm)],[c_46645,c_21826]) ).
tcf(c_46711,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK59,sK58))) = tl(app(sK59,cons(sK57,app(sK59,sK58)))) ) ),
inference(superposition,[status(thm)],[c_46645,c_21825]) ).
tcf(c_46712,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK59,sK58))) = tl(app(sK56,cons(sK57,app(sK59,sK58)))) ) ),
inference(superposition,[status(thm)],[c_46645,c_21824]) ).
tcf(c_46713,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_46645,c_124]) ).
tcf(c_46714,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_46645,c_116]) ).
tcf(c_46715,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_46645,c_108]) ).
tcf(c_46716,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,app(sK59,sK58)))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_46645,c_19350]) ).
tcf(c_46717,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_46645,c_234]) ).
tcf(c_46718,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK59,sK58)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_46645,c_19349]) ).
tcf(c_46719,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK59,sK58)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_46645,c_19348]) ).
tcf(c_46720,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_46645,c_132]) ).
tcf(c_46721,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_46645,c_233]) ).
tcf(c_46722,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_46645,c_224]) ).
tcf(c_46723,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_46645,c_147]) ).
tcf(c_46724,plain,
tl(cons(sK57,cons(sK57,app(sK59,sK58)))) = cons(sK57,app(sK59,sK58)),
inference(superposition,[status(thm)],[c_46645,c_14117]) ).
tcf(c_46725,plain,
hd(cons(sK57,cons(sK57,app(sK59,sK58)))) = sK57,
inference(superposition,[status(thm)],[c_46645,c_13943]) ).
tcf(c_46726,plain,
( ( cons(sK57,app(sK59,sK58)) = nil )
| ( tl(cons(sK57,app(sK59,sK58))) = sK52(cons(sK57,app(sK59,sK58))) ) ),
inference(superposition,[status(thm)],[c_46645,c_222]) ).
tcf(c_46727,plain,
( ( cons(sK57,app(sK59,sK58)) = nil )
| ( hd(cons(sK57,app(sK59,sK58))) = sK51(cons(sK57,app(sK59,sK58))) ) ),
inference(superposition,[status(thm)],[c_46645,c_220]) ).
tcf(c_46728,plain,
( duplicatefreeP(cons(sK57,app(sK59,sK58)))
| ( sK40(cons(sK57,app(sK59,sK58))) = sK41(cons(sK57,app(sK59,sK58))) ) ),
inference(superposition,[status(thm)],[c_46645,c_123]) ).
tcf(c_46729,plain,
app(cons(sK57,app(sK59,sK58)),nil) = cons(sK57,app(sK59,sK58)),
inference(superposition,[status(thm)],[c_46645,c_232]) ).
tcf(c_46730,plain,
app(nil,cons(sK57,app(sK59,sK58))) = cons(sK57,app(sK59,sK58)),
inference(superposition,[status(thm)],[c_46645,c_155]) ).
tcf(c_47051,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_46646,c_183]) ).
tcf(c_47052,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_46646,c_184]) ).
tcf(c_47053,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_46646,c_66]) ).
tcf(c_47055,plain,
app(sK12(cons(sK57,app(sK59,sK58)),sK58),sK58) = cons(sK57,app(sK59,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_47053,c_9000,c_46645]) ).
tcf(c_47056,plain,
( ( cons(sK57,app(sK59,sK58)) = sK58 )
| ~ rearsegP(sK58,cons(sK57,app(sK59,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47052,c_9000,c_46645]) ).
tcf(c_47059,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_46647,c_173]) ).
tcf(c_47060,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_46647,c_174]) ).
tcf(c_47061,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_46647,c_63]) ).
tcf(c_47063,plain,
( frontsegP(app(sK59,sK58),sK59)
| ~ ssList(sK59)
| ~ ssItem(sK57)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_46647,c_179]) ).
tcf(c_47064,plain,
( frontsegP(app(sK59,sK58),sK59)
| ~ ssList(app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47063,c_9003,c_8999]) ).
tcf(c_47068,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_47061,c_42671,c_46645]) ).
tcf(c_47069,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_47060,c_42671,c_46645]) ).
tcf(c_47076,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK58),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_47064,c_173]) ).
tcf(c_47077,plain,
( ( app(sK59,sK58) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK58))
| ~ frontsegP(sK59,app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_47064,c_174]) ).
tcf(c_47078,plain,
( ( app(sK59,sK11(app(sK59,sK58),sK59)) = app(sK59,sK58) )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_47064,c_63]) ).
tcf(c_47079,plain,
( ( app(sK59,sK11(app(sK59,sK58),sK59)) = app(sK59,sK58) )
| ~ ssList(app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47078,c_9003]) ).
tcf(c_47082,plain,
( ( app(sK59,sK58) = sK59 )
| ~ ssList(app(sK59,sK58))
| ~ frontsegP(sK59,app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47077,c_9003]) ).
tcf(c_47086,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK58),X0)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47076,c_9003]) ).
tcf(c_47094,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_45247,c_67]) ).
tcf(c_47097,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_45247,c_167]) ).
tcf(c_47098,plain,
( ( cons(sK57,sK58) = nil )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_45247,c_231]) ).
tcf(c_47099,plain,
( ( nil = sK58 )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_45247,c_230]) ).
tcf(c_47100,plain,
( frontsegP(cons(sK57,app(sK58,sK58)),cons(sK57,sK58))
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_45247,c_386]) ).
tcf(c_47101,plain,
( rearsegP(cons(sK57,app(sK58,sK58)),sK58)
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_45247,c_383]) ).
tcf(c_47102,plain,
( ssList(cons(sK57,app(sK58,sK58)))
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_45247,c_153]) ).
tcf(c_47103,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_45247,c_225]) ).
tcf(c_47104,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_45247,c_226]) ).
tcf(c_47105,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_45247,c_176]) ).
tcf(c_47106,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_45247,c_165]) ).
tcf(c_47107,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_45247,c_193]) ).
tcf(c_47108,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_45247,c_186]) ).
tcf(c_47109,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_45247,c_166]) ).
tcf(c_47110,plain,
( ( cons(sK57,sK58) = nil )
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK58)) != sK58 ) ),
inference(superposition,[status(thm)],[c_45247,c_25404]) ).
tcf(c_47111,plain,
ssList(cons(sK57,app(sK58,sK58))),
inference(forward_subsumption_resolution,[status(thm)],[c_47102,c_9000,c_45936]) ).
tcf(c_47112,plain,
rearsegP(cons(sK57,app(sK58,sK58)),sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_47101,c_9000,c_45936]) ).
tcf(c_47113,plain,
frontsegP(cons(sK57,app(sK58,sK58)),cons(sK57,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_47100,c_9000,c_45936]) ).
tcf(c_47114,plain,
cons(sK57,app(sK58,sK58)) != sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_47110,c_45943,c_45936]) ).
tcf(c_47118,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK58,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47109,c_9000,c_45936]) ).
tcf(c_47122,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK58,sK58)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47108,c_9000,c_45936]) ).
tcf(c_47126,plain,
cons(sK57,app(sK58,sK58)) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_47098,c_45943,c_9000,c_45936]) ).
tcf(c_47127,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK58,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47106,c_9000,c_45936]) ).
tcf(c_47131,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK58,sK58)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47105,c_9000,c_45936]) ).
tcf(c_47135,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_47107,c_9000,c_45936]) ).
tcf(c_47140,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_47097,c_9000,c_45936]) ).
tcf(c_47145,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ( app(cons(sK57,sK58),X0) != cons(sK57,app(sK58,sK58)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47104,c_9000,c_45936]) ).
tcf(c_47149,plain,
! [X0: $i] :
( ( cons(sK57,sK58) = X0 )
| ~ ssList(X0)
| ( cons(sK57,app(sK58,sK58)) != app(X0,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47103,c_9000,c_45936]) ).
tcf(c_47153,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_47094,c_45247]) ).
tcf(c_47154,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_47153,c_9000,c_45936]) ).
tcf(c_47200,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_47111,c_228]) ).
tcf(c_47201,plain,
cons(sK57,app(cons(sK57,app(sK58,sK58)),sK58)) = app(cons(sK57,cons(sK57,app(sK58,sK58))),sK58),
inference(superposition,[status(thm)],[c_47111,c_37537]) ).
tcf(c_47202,plain,
tl(cons(sK7,cons(sK57,app(sK58,sK58)))) = cons(sK57,app(sK58,sK58)),
inference(superposition,[status(thm)],[c_47111,c_14098]) ).
tcf(c_47203,plain,
tl(cons(sK6,cons(sK57,app(sK58,sK58)))) = cons(sK57,app(sK58,sK58)),
inference(superposition,[status(thm)],[c_47111,c_14097]) ).
tcf(c_47204,plain,
cons(sK57,app(cons(sK57,app(sK58,sK58)),sK59)) = app(cons(sK57,cons(sK57,app(sK58,sK58))),sK59),
inference(superposition,[status(thm)],[c_47111,c_37536]) ).
tcf(c_47205,plain,
hd(cons(sK7,cons(sK57,app(sK58,sK58)))) = sK7,
inference(superposition,[status(thm)],[c_47111,c_13924]) ).
tcf(c_47206,plain,
hd(cons(sK6,cons(sK57,app(sK58,sK58)))) = sK6,
inference(superposition,[status(thm)],[c_47111,c_13923]) ).
tcf(c_47207,plain,
cons(sK57,app(cons(sK57,app(sK58,sK58)),sK56)) = app(cons(sK57,cons(sK57,app(sK58,sK58))),sK56),
inference(superposition,[status(thm)],[c_47111,c_37535]) ).
tcf(c_47208,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_47111,c_22705]) ).
tcf(c_47209,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,app(sK58,sK58))) = tl(app(sK58,cons(sK57,app(sK58,sK58)))) ) ),
inference(superposition,[status(thm)],[c_47111,c_21826]) ).
tcf(c_47210,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK58,sK58))) = tl(app(sK59,cons(sK57,app(sK58,sK58)))) ) ),
inference(superposition,[status(thm)],[c_47111,c_21825]) ).
tcf(c_47211,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK58,sK58))) = tl(app(sK56,cons(sK57,app(sK58,sK58)))) ) ),
inference(superposition,[status(thm)],[c_47111,c_21824]) ).
tcf(c_47212,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_47111,c_124]) ).
tcf(c_47213,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_47111,c_116]) ).
tcf(c_47214,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_47111,c_108]) ).
tcf(c_47215,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,app(sK58,sK58)))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_47111,c_19350]) ).
tcf(c_47216,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_47111,c_234]) ).
tcf(c_47217,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK58,sK58)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_47111,c_19349]) ).
tcf(c_47218,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK58,sK58)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_47111,c_19348]) ).
tcf(c_47219,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_47111,c_132]) ).
tcf(c_47220,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_47111,c_233]) ).
tcf(c_47221,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_47111,c_224]) ).
tcf(c_47222,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_47111,c_147]) ).
tcf(c_47223,plain,
tl(cons(sK57,cons(sK57,app(sK58,sK58)))) = cons(sK57,app(sK58,sK58)),
inference(superposition,[status(thm)],[c_47111,c_14117]) ).
tcf(c_47224,plain,
hd(cons(sK57,cons(sK57,app(sK58,sK58)))) = sK57,
inference(superposition,[status(thm)],[c_47111,c_13943]) ).
tcf(c_47225,plain,
( ( cons(sK57,app(sK58,sK58)) = nil )
| ( tl(cons(sK57,app(sK58,sK58))) = sK52(cons(sK57,app(sK58,sK58))) ) ),
inference(superposition,[status(thm)],[c_47111,c_222]) ).
tcf(c_47226,plain,
( ( cons(sK57,app(sK58,sK58)) = nil )
| ( hd(cons(sK57,app(sK58,sK58))) = sK51(cons(sK57,app(sK58,sK58))) ) ),
inference(superposition,[status(thm)],[c_47111,c_220]) ).
tcf(c_47227,plain,
( duplicatefreeP(cons(sK57,app(sK58,sK58)))
| ( sK40(cons(sK57,app(sK58,sK58))) = sK41(cons(sK57,app(sK58,sK58))) ) ),
inference(superposition,[status(thm)],[c_47111,c_123]) ).
tcf(c_47228,plain,
app(cons(sK57,app(sK58,sK58)),nil) = cons(sK57,app(sK58,sK58)),
inference(superposition,[status(thm)],[c_47111,c_232]) ).
tcf(c_47229,plain,
app(nil,cons(sK57,app(sK58,sK58))) = cons(sK57,app(sK58,sK58)),
inference(superposition,[status(thm)],[c_47111,c_155]) ).
tcf(c_47323,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_15843,c_67]) ).
tcf(c_47329,plain,
( frontsegP(tl(sK59),tl(sK59))
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(tl(sK59)) ),
inference(superposition,[status(thm)],[c_15843,c_386]) ).
tcf(c_47330,plain,
( rearsegP(tl(sK59),nil)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(tl(sK59)) ),
inference(superposition,[status(thm)],[c_15843,c_383]) ).
tcf(c_47332,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_15843,c_225]) ).
tcf(c_47333,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_15843,c_226]) ).
tcf(c_47336,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_15843,c_193]) ).
tcf(c_47337,plain,
! [X0: $i] :
( rearsegP(tl(sK59),X0)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_15843,c_186]) ).
tcf(c_47338,plain,
! [X0: $i] :
( memberP(tl(sK59),X0)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(tl(sK59))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_15843,c_166]) ).
tcf(c_47342,plain,
( rearsegP(tl(sK59),nil)
| ( nil = sK59 )
| ~ ssList(tl(sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47330,c_141]) ).
tcf(c_47346,plain,
( frontsegP(tl(sK59),tl(sK59))
| ( nil = sK59 )
| ~ ssList(tl(sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47329,c_141]) ).
tcf(c_47350,plain,
! [X0: $i] :
( memberP(tl(sK59),X0)
| ( nil = sK59 )
| ~ ssItem(X0)
| ~ ssList(tl(sK59))
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47338,c_141]) ).
tcf(c_47356,plain,
! [X0: $i] :
( rearsegP(tl(sK59),X0)
| ( nil = sK59 )
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47337,c_141]) ).
tcf(c_47362,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_47336,c_141]) ).
tcf(c_47369,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_47333,c_141]) ).
tcf(c_47375,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_47332,c_141]) ).
tcf(c_47381,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_47323,c_141]) ).
tcf(c_47393,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_45984,c_183]) ).
tcf(c_47394,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_45984,c_184]) ).
tcf(c_47395,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_45984,c_66]) ).
tcf(c_47396,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK58,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47393,c_9003,c_45985]) ).
tcf(c_47400,plain,
app(sK12(cons(sK57,app(sK58,sK59)),sK59),sK59) = cons(sK57,app(sK58,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_47395,c_9003,c_45985]) ).
tcf(c_47401,plain,
( ( cons(sK57,app(sK58,sK59)) = sK59 )
| ~ rearsegP(sK59,cons(sK57,app(sK58,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47394,c_9003,c_45985]) ).
tcf(c_47414,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_45987,c_183]) ).
tcf(c_47415,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_45987,c_184]) ).
tcf(c_47416,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_45987,c_66]) ).
tcf(c_47417,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47414,c_9004,c_45988]) ).
tcf(c_47421,plain,
app(sK12(cons(sK57,app(sK58,sK56)),sK56),sK56) = cons(sK57,app(sK58,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_47416,c_9004,c_45988]) ).
tcf(c_47422,plain,
( ( cons(sK57,app(sK58,sK56)) = sK56 )
| ~ rearsegP(sK56,cons(sK57,app(sK58,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47415,c_9004,c_45988]) ).
tcf(c_47433,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_47112,c_183]) ).
tcf(c_47434,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_47112,c_184]) ).
tcf(c_47435,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_47112,c_66]) ).
tcf(c_47437,plain,
app(sK12(cons(sK57,app(sK58,sK58)),sK58),sK58) = cons(sK57,app(sK58,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_47435,c_9000,c_47111]) ).
tcf(c_47438,plain,
( ( cons(sK57,app(sK58,sK58)) = sK58 )
| ~ rearsegP(sK58,cons(sK57,app(sK58,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47434,c_9000,c_47111]) ).
tcf(c_47445,plain,
( frontsegP(app(sK58,sK59),sK58)
| ~ ssList(sK58)
| ~ ssItem(sK57)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_45983,c_179]) ).
tcf(c_47446,plain,
( frontsegP(app(sK58,sK59),sK58)
| ~ ssList(app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47445,c_9000,c_8999]) ).
tcf(c_47479,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_39772,c_223]) ).
tcf(c_47480,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_39772,c_212]) ).
tcf(c_47481,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_39772,c_206]) ).
tcf(c_47494,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_47479,c_43724]) ).
tcf(c_47507,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_40919,c_223]) ).
tcf(c_47508,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_40919,c_212]) ).
tcf(c_47509,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_40919,c_206]) ).
tcf(c_47522,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_47507,c_44453]) ).
tcf(c_47534,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_40920,c_223]) ).
tcf(c_47535,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_40920,c_212]) ).
tcf(c_47536,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_40920,c_206]) ).
tcf(c_47549,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_47534,c_44454]) ).
tcf(c_47561,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_39767,c_223]) ).
tcf(c_47562,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_39767,c_212]) ).
tcf(c_47563,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_39767,c_206]) ).
tcf(c_47576,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_47561,c_43718]) ).
tcf(c_47586,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_47113,c_173]) ).
tcf(c_47587,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_47113,c_174]) ).
tcf(c_47588,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_47113,c_63]) ).
tcf(c_47590,plain,
( frontsegP(app(sK58,sK58),sK58)
| ~ ssList(sK58)
| ~ ssItem(sK57)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_47113,c_179]) ).
tcf(c_47591,plain,
( frontsegP(app(sK58,sK58),sK58)
| ~ ssList(app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47590,c_9000,c_8999]) ).
tcf(c_47595,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_47588,c_45936,c_47111]) ).
tcf(c_47596,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_47587,c_45936,c_47111]) ).
tcf(c_47603,plain,
! [X0: $i] :
( frontsegP(app(sK58,sK59),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_47446,c_173]) ).
tcf(c_47604,plain,
( ( app(sK58,sK59) = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK59))
| ~ frontsegP(sK58,app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_47446,c_174]) ).
tcf(c_47605,plain,
( ( app(sK58,sK11(app(sK58,sK59),sK58)) = app(sK58,sK59) )
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_47446,c_63]) ).
tcf(c_47606,plain,
( ( app(sK58,sK11(app(sK58,sK59),sK58)) = app(sK58,sK59) )
| ~ ssList(app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47605,c_9000]) ).
tcf(c_47609,plain,
( ( app(sK58,sK59) = sK58 )
| ~ ssList(app(sK58,sK59))
| ~ frontsegP(sK58,app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47604,c_9000]) ).
tcf(c_47613,plain,
! [X0: $i] :
( frontsegP(app(sK58,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ ssList(app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47603,c_9000]) ).
tcf(c_47694,plain,
! [X0: $i] :
( frontsegP(app(sK58,sK58),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_47591,c_173]) ).
tcf(c_47695,plain,
( ( app(sK58,sK58) = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK58))
| ~ frontsegP(sK58,app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_47591,c_174]) ).
tcf(c_47696,plain,
( ( app(sK58,sK11(app(sK58,sK58),sK58)) = app(sK58,sK58) )
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_47591,c_63]) ).
tcf(c_47697,plain,
( ( app(sK58,sK11(app(sK58,sK58),sK58)) = app(sK58,sK58) )
| ~ ssList(app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47696,c_9000]) ).
tcf(c_47700,plain,
( ( app(sK58,sK58) = sK58 )
| ~ ssList(app(sK58,sK58))
| ~ frontsegP(sK58,app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47695,c_9000]) ).
tcf(c_47704,plain,
! [X0: $i] :
( frontsegP(app(sK58,sK58),X0)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ ssList(app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47694,c_9000]) ).
tcf(c_47716,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_45944,c_57]) ).
tcf(c_47717,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_45944,c_12668]) ).
tcf(c_47719,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_47717,c_45936]) ).
tcf(c_47723,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_47716,c_45936]) ).
tcf(c_47735,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_45948,c_183]) ).
tcf(c_47736,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_45948,c_184]) ).
tcf(c_47737,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_45948,c_66]) ).
tcf(c_47738,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_47737,c_45936]) ).
tcf(c_47742,plain,
! [X0: $i] :
( ( cons(sK57,sK58) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ rearsegP(X0,cons(sK57,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47736,c_45936]) ).
tcf(c_47747,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_47735,c_45936]) ).
tcf(c_47802,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_45952,c_57]) ).
tcf(c_47803,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_45952,c_12668]) ).
tcf(c_47804,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ( X0 = sK57 )
| ~ ssList(sK58)
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_45952,c_170]) ).
tcf(c_47806,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_47803,c_45936]) ).
tcf(c_47810,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_47802,c_45936]) ).
tcf(c_47855,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_45956,c_173]) ).
tcf(c_47856,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_45956,c_174]) ).
tcf(c_47857,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_45956,c_63]) ).
tcf(c_47858,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_45956,c_178]) ).
tcf(c_47859,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_45956,c_179]) ).
tcf(c_47861,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_47857,c_45936]) ).
tcf(c_47865,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_47856,c_45936]) ).
tcf(c_47870,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_47855,c_45936]) ).
tcf(c_47876,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_47859,c_9000,c_8999]) ).
tcf(c_47890,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_15844,c_67]) ).
tcf(c_47896,plain,
( frontsegP(tl(sK59),nil)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(tl(sK59)) ),
inference(superposition,[status(thm)],[c_15844,c_386]) ).
tcf(c_47897,plain,
( rearsegP(tl(sK59),tl(sK59))
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(tl(sK59)) ),
inference(superposition,[status(thm)],[c_15844,c_383]) ).
tcf(c_47899,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_15844,c_225]) ).
tcf(c_47903,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_15844,c_226]) ).
tcf(c_47904,plain,
! [X0: $i] :
( frontsegP(tl(sK59),X0)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_15844,c_176]) ).
tcf(c_47906,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_15844,c_193]) ).
tcf(c_47909,plain,
( frontsegP(tl(sK59),nil)
| ( nil = sK59 )
| ~ ssList(tl(sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47896,c_141]) ).
tcf(c_47913,plain,
( rearsegP(tl(sK59),tl(sK59))
| ( nil = sK59 )
| ~ ssList(tl(sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47897,c_141]) ).
tcf(c_47917,plain,
! [X0: $i] :
( frontsegP(tl(sK59),X0)
| ( nil = sK59 )
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47904,c_141]) ).
tcf(c_47923,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_47903,c_141]) ).
tcf(c_47929,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_47899,c_141]) ).
tcf(c_47935,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_47906,c_141]) ).
tcf(c_47942,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_47890,c_141]) ).
tcf(c_47954,plain,
( frontsegP(app(sK58,sK56),sK58)
| ~ ssList(sK58)
| ~ ssItem(sK57)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_45986,c_179]) ).
tcf(c_47955,plain,
( frontsegP(app(sK58,sK56),sK58)
| ~ ssList(app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47954,c_9000,c_8999]) ).
tcf(c_48000,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_40915,c_223]) ).
tcf(c_48001,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_40915,c_212]) ).
tcf(c_48002,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_40915,c_206]) ).
tcf(c_48015,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_48000,c_44448]) ).
tcf(c_48027,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_42759,c_223]) ).
tcf(c_48028,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_42759,c_212]) ).
tcf(c_48029,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_42759,c_206]) ).
tcf(c_48042,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_48027,c_44449]) ).
tcf(c_48080,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_42760,c_223]) ).
tcf(c_48081,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_42760,c_212]) ).
tcf(c_48082,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_42760,c_206]) ).
tcf(c_48095,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_48080,c_43719]) ).
tcf(c_48109,plain,
! [X0: $i] :
( frontsegP(app(sK58,sK56),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_47955,c_173]) ).
tcf(c_48110,plain,
( ( app(sK58,sK56) = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK56))
| ~ frontsegP(sK58,app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_47955,c_174]) ).
tcf(c_48111,plain,
( ( app(sK58,sK11(app(sK58,sK56),sK58)) = app(sK58,sK56) )
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_47955,c_63]) ).
tcf(c_48112,plain,
( ( app(sK58,sK11(app(sK58,sK56),sK58)) = app(sK58,sK56) )
| ~ ssList(app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48111,c_9000]) ).
tcf(c_48115,plain,
( ( app(sK58,sK56) = sK58 )
| ~ ssList(app(sK58,sK56))
| ~ frontsegP(sK58,app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48110,c_9000]) ).
tcf(c_48119,plain,
! [X0: $i] :
( frontsegP(app(sK58,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ ssList(app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48109,c_9000]) ).
tcf(c_48125,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_46202,c_67]) ).
tcf(c_48128,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_46202,c_167]) ).
tcf(c_48131,plain,
( frontsegP(cons(sK57,sK58),sK12(cons(sK57,sK58),sK58))
| ~ ssList(sK58)
| ~ ssList(sK12(cons(sK57,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_46202,c_386]) ).
tcf(c_48134,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_46202,c_225]) ).
tcf(c_48135,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_46202,c_226]) ).
tcf(c_48136,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_46202,c_176]) ).
tcf(c_48137,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_46202,c_165]) ).
tcf(c_48138,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_46202,c_193]) ).
tcf(c_48139,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_46202,c_186]) ).
tcf(c_48140,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_46202,c_166]) ).
tcf(c_48142,plain,
( frontsegP(cons(sK57,sK58),sK12(cons(sK57,sK58),sK58))
| ~ ssList(sK12(cons(sK57,sK58),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48131,c_9000]) ).
tcf(c_48147,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_48137,c_9000]) ).
tcf(c_48152,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_48136,c_9000]) ).
tcf(c_48158,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_48128,c_9000]) ).
tcf(c_48164,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_48135,c_9000]) ).
tcf(c_48169,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_48134,c_9000]) ).
tcf(c_48174,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_48125,c_46202]) ).
tcf(c_48175,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_48174,c_9000]) ).
tcf(c_48185,plain,
~ rearsegP(sK58,cons(sK57,sK58)),
inference(global_subsumption_just,[status(thm)],[c_46203,c_45939,c_46203]) ).
tcf(c_48193,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK56,sK58)),X0),cons(X0,sK9(cons(sK57,app(sK56,sK58)),X0))) = cons(sK57,app(sK56,sK58)) )
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(cons(sK57,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_45639,c_57]) ).
tcf(c_48194,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK56,sK58)),X0)) = sK8(cons(sK57,app(sK56,sK58)),X0) )
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(cons(sK57,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_45639,c_12668]) ).
tcf(c_48195,plain,
! [X0: $i] :
( memberP(app(sK56,sK58),X0)
| ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_45639,c_170]) ).
tcf(c_48196,plain,
! [X0: $i] :
( memberP(app(sK56,sK58),X0)
| ( X0 = sK57 )
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48195,c_8999]) ).
tcf(c_48202,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK56,sK58)),X0)) = sK8(cons(sK57,app(sK56,sK58)),X0) )
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48194,c_45632]) ).
tcf(c_48206,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK56,sK58)),X0),cons(X0,sK9(cons(sK57,app(sK56,sK58)),X0))) = cons(sK57,app(sK56,sK58)) )
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48193,c_45632]) ).
tcf(c_48366,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_45643,c_183]) ).
tcf(c_48367,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_45643,c_184]) ).
tcf(c_48368,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_45643,c_66]) ).
tcf(c_48369,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_48366,c_45632]) ).
tcf(c_48375,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_48368,c_45632]) ).
tcf(c_48379,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_48367,c_45632]) ).
tcf(c_48393,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_46652,c_57]) ).
tcf(c_48394,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_46652,c_12668]) ).
tcf(c_48395,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_46652,c_170]) ).
tcf(c_48396,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_48395,c_8999]) ).
tcf(c_48402,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_48394,c_46645]) ).
tcf(c_48406,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_48393,c_46645]) ).
tcf(c_48419,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_46656,c_183]) ).
tcf(c_48420,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_46656,c_184]) ).
tcf(c_48421,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_46656,c_66]) ).
tcf(c_48422,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_48419,c_46645]) ).
tcf(c_48428,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_48421,c_46645]) ).
tcf(c_48432,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_48420,c_46645]) ).
tcf(c_48472,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_47118,c_57]) ).
tcf(c_48473,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_47118,c_12668]) ).
tcf(c_48474,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_47118,c_170]) ).
tcf(c_48475,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_48474,c_8999]) ).
tcf(c_48481,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_48473,c_47111]) ).
tcf(c_48485,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_48472,c_47111]) ).
tcf(c_48498,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_15887,c_130]) ).
tcf(c_48499,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_15887,c_122]) ).
tcf(c_48500,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_15887,c_114]) ).
tcf(c_48501,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_15887,c_130]) ).
tcf(c_48505,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_15887,c_54]) ).
tcf(c_48506,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_15887,c_122]) ).
tcf(c_48507,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_15887,c_114]) ).
tcf(c_48511,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_15887,c_137]) ).
tcf(c_48514,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_15887,c_178]) ).
tcf(c_48515,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_15887,c_179]) ).
tcf(c_48516,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_15887,c_28016]) ).
tcf(c_48517,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_15887,c_27918]) ).
tcf(c_48518,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_15887,c_27763]) ).
tcf(c_48519,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_15887,c_27753]) ).
tcf(c_48520,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_15887,c_26831]) ).
tcf(c_48521,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_15887,c_144]) ).
tcf(c_48522,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_15887,c_143]) ).
tcf(c_48523,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_15887,c_178]) ).
tcf(c_48524,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_15887,c_179]) ).
tcf(c_48525,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_15887,c_170]) ).
tcf(c_48526,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_15887,c_214]) ).
tcf(c_48527,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_15887,c_208]) ).
tcf(c_48528,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_15887,c_213]) ).
tcf(c_48529,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_15887,c_207]) ).
tcf(c_48531,plain,
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58)))
| ( sK49(tl(sK58)) != tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15887,c_142]) ).
tcf(c_48532,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_15887,c_168]) ).
tcf(c_48534,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_15887,c_177]) ).
tcf(c_48535,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_15887,c_169]) ).
tcf(c_48536,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_15887,c_177]) ).
tcf(c_48947,plain,
cons(sK10(iPr_def_10),nil) = iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_18008,c_12898,c_17779,c_17841,c_18008]) ).
tcf(c_48949,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_48947,c_130]) ).
tcf(c_48950,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_48947,c_122]) ).
tcf(c_48951,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_48947,c_114]) ).
tcf(c_48952,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_48947,c_130]) ).
tcf(c_48956,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_48947,c_54]) ).
tcf(c_48962,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_48947,c_122]) ).
tcf(c_48963,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_48947,c_114]) ).
tcf(c_48967,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_48947,c_137]) ).
tcf(c_48970,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_48947,c_178]) ).
tcf(c_48971,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_48947,c_179]) ).
tcf(c_48973,plain,
( ( sK10(iPr_def_10) = sK57 )
| ~ ssList(nil)
| ~ ssItem(sK10(iPr_def_10))
| ( iPr_def_10 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_48947,c_27918]) ).
tcf(c_48974,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_48947,c_27763]) ).
tcf(c_48975,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_48947,c_27753]) ).
tcf(c_48977,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_48947,c_144]) ).
tcf(c_48978,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_48947,c_143]) ).
tcf(c_48979,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_48947,c_178]) ).
tcf(c_48980,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_48947,c_179]) ).
tcf(c_48981,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_48947,c_170]) ).
tcf(c_48988,plain,
( memberP(iPr_def_10,sK10(iPr_def_10))
| ~ ssList(nil)
| ~ ssItem(sK10(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_48947,c_168]) ).
tcf(c_48990,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_48947,c_177]) ).
tcf(c_48991,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_48947,c_169]) ).
tcf(c_48992,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_48947,c_177]) ).
tcf(c_48993,plain,
( memberP(iPr_def_10,sK10(iPr_def_10))
| ~ ssItem(sK10(iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48988,c_141]) ).
tcf(c_48996,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_48975,c_141]) ).
tcf(c_49000,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_48974,c_141]) ).
tcf(c_49004,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_48991,c_141]) ).
tcf(c_49009,plain,
( ( sK10(iPr_def_10) = sK57 )
| ~ ssItem(sK10(iPr_def_10))
| ( iPr_def_10 != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48973,c_141]) ).
tcf(c_49013,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_48992,c_141]) ).
tcf(c_49018,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_48990,c_141]) ).
tcf(c_49023,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_48981,c_141]) ).
tcf(c_49029,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_48980,c_141]) ).
tcf(c_49035,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_48971,c_141]) ).
tcf(c_49041,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_48979,c_141]) ).
tcf(c_49047,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_48977,c_141]) ).
tcf(c_49053,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_48970,c_141]) ).
tcf(c_49059,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_48956,c_48947]) ).
tcf(c_49060,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_49059,c_141]) ).
tcf(c_49065,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_48978,c_141]) ).
tcf(c_49103,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_48967,c_48947]) ).
tcf(c_49104,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_49103,c_141]) ).
tcf(c_49127,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_48952,c_48947]) ).
tcf(c_49128,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_49127,c_141]) ).
tcf(c_49134,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_48949,c_48947]) ).
tcf(c_49135,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_49134,c_141]) ).
tcf(c_49141,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_48963,c_48947]) ).
tcf(c_49142,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_49141,c_141]) ).
tcf(c_49150,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_48962,c_48947]) ).
tcf(c_49151,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_49150,c_141]) ).
tcf(c_49159,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_48951,c_48947]) ).
tcf(c_49160,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_49159,c_141]) ).
tcf(c_49168,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_48950,c_48947]) ).
tcf(c_49169,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_49168,c_141]) ).
tcf(c_49266,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_48993,c_57]) ).
tcf(c_49267,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_48993,c_12668]) ).
tcf(c_49268,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_48993,c_22915]) ).
tcf(c_49272,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_49267,c_18402]) ).
tcf(c_49275,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_49266,c_18402]) ).
tcf(c_49280,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_42778,c_223]) ).
tcf(c_49281,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_42778,c_212]) ).
tcf(c_49282,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_42778,c_206]) ).
tcf(c_49295,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_49280,c_42777]) ).
tcf(c_49318,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_47122,c_183]) ).
tcf(c_49319,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_47122,c_184]) ).
tcf(c_49320,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_47122,c_66]) ).
tcf(c_49321,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_49318,c_47111]) ).
tcf(c_49327,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_49320,c_47111]) ).
tcf(c_49331,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_49319,c_47111]) ).
tcf(c_49400,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_47396,c_183]) ).
tcf(c_49401,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_47396,c_184]) ).
tcf(c_49402,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_47396,c_66]) ).
tcf(c_49403,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_49400,c_45985]) ).
tcf(c_49409,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_49402,c_45985]) ).
tcf(c_49413,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_49401,c_45985]) ).
tcf(c_49432,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_47417,c_183]) ).
tcf(c_49433,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_47417,c_184]) ).
tcf(c_49434,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_47417,c_66]) ).
tcf(c_49435,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_49432,c_45988]) ).
tcf(c_49441,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_49434,c_45988]) ).
tcf(c_49445,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_49433,c_45988]) ).
tcf(c_49563,plain,
! [X0: $i] :
( rearsegP(sK58,X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(sK58,nil))
| ~ rearsegP(sK11(sK58,nil),X0) ),
inference(superposition,[status(thm)],[c_18086,c_183]) ).
tcf(c_49564,plain,
( ( sK11(sK58,nil) = sK58 )
| ~ ssList(sK58)
| ~ ssList(sK11(sK58,nil))
| ~ rearsegP(sK11(sK58,nil),sK58) ),
inference(superposition,[status(thm)],[c_18086,c_184]) ).
tcf(c_49565,plain,
( ( app(sK12(sK58,sK11(sK58,nil)),sK11(sK58,nil)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(sK11(sK58,nil)) ),
inference(superposition,[status(thm)],[c_18086,c_66]) ).
tcf(c_49566,plain,
( ( app(sK12(sK58,sK11(sK58,nil)),sK11(sK58,nil)) = sK58 )
| ~ ssList(sK11(sK58,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49565,c_9000]) ).
tcf(c_49575,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ~ rearsegP(sK11(sK59,nil),X0) ),
inference(superposition,[status(thm)],[c_18108,c_183]) ).
tcf(c_49576,plain,
( ( sK11(sK59,nil) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(sK59,nil))
| ~ rearsegP(sK11(sK59,nil),sK59) ),
inference(superposition,[status(thm)],[c_18108,c_184]) ).
tcf(c_49577,plain,
( ( app(sK12(sK59,sK11(sK59,nil)),sK11(sK59,nil)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(sK59,nil)) ),
inference(superposition,[status(thm)],[c_18108,c_66]) ).
tcf(c_49578,plain,
( rearsegP(iPr_def_10,sK11(sK59,nil))
| ~ ssList(sK11(sK59,nil)) ),
inference(superposition,[status(thm)],[c_18108,c_21341]) ).
tcf(c_49581,plain,
( ( app(sK12(sK59,sK11(sK59,nil)),sK11(sK59,nil)) = sK59 )
| ~ ssList(sK11(sK59,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49577,c_9003]) ).
tcf(c_49590,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ~ rearsegP(sK11(sK56,nil),X0) ),
inference(superposition,[status(thm)],[c_18151,c_183]) ).
tcf(c_49591,plain,
( ( sK11(sK56,nil) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(sK56,nil))
| ~ rearsegP(sK11(sK56,nil),sK56) ),
inference(superposition,[status(thm)],[c_18151,c_184]) ).
tcf(c_49592,plain,
( ( app(sK12(sK56,sK11(sK56,nil)),sK11(sK56,nil)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(sK56,nil)) ),
inference(superposition,[status(thm)],[c_18151,c_66]) ).
tcf(c_49593,plain,
( ( app(sK12(sK56,sK11(sK56,nil)),sK11(sK56,nil)) = sK56 )
| ~ ssList(sK11(sK56,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49592,c_9004]) ).
tcf(c_49598,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_18399,c_67]) ).
tcf(c_49604,plain,
( frontsegP(sK8(sK56,sK60),nil)
| ~ ssList(nil)
| ~ ssList(sK8(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_18399,c_386]) ).
tcf(c_49605,plain,
( rearsegP(sK8(sK56,sK60),sK8(sK56,sK60))
| ~ ssList(nil)
| ~ ssList(sK8(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_18399,c_383]) ).
tcf(c_49607,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_18399,c_225]) ).
tcf(c_49611,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_18399,c_226]) ).
tcf(c_49612,plain,
! [X0: $i] :
( frontsegP(sK8(sK56,sK60),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK8(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_18399,c_176]) ).
tcf(c_49614,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_18399,c_193]) ).
tcf(c_49617,plain,
( frontsegP(sK8(sK56,sK60),nil)
| ~ ssList(sK8(sK56,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49604,c_141]) ).
tcf(c_49620,plain,
( rearsegP(sK8(sK56,sK60),sK8(sK56,sK60))
| ~ ssList(sK8(sK56,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49605,c_141]) ).
tcf(c_49623,plain,
! [X0: $i] :
( frontsegP(sK8(sK56,sK60),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK8(sK56,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49612,c_141]) ).
tcf(c_49628,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_49611,c_141]) ).
tcf(c_49633,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_49607,c_141]) ).
tcf(c_49638,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_49614,c_141]) ).
tcf(c_49644,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_49598,c_18399]) ).
tcf(c_49645,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_49644,c_141]) ).
tcf(c_49658,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_46041,c_223]) ).
tcf(c_49659,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_46041,c_212]) ).
tcf(c_49660,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_46041,c_206]) ).
tcf(c_49673,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_49658,c_46038]) ).
tcf(c_49701,plain,
( ( nil = sK56 )
| ~ ssList(nil)
| ( cons(sK57,sK56) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_12891,c_38998]) ).
tcf(c_49702,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_17900,c_38998]) ).
tcf(c_49704,plain,
( ( sK56 = sK59 )
| ~ ssList(sK59)
| ( cons(sK57,sK56) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_41668,c_38998]) ).
tcf(c_49705,plain,
( ( sK56 = sK58 )
| ~ ssList(sK58)
| ( cons(sK57,sK56) != cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_45264,c_38998]) ).
tcf(c_49706,plain,
( ( nil = sK56 )
| ( cons(sK57,sK56) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49701,c_141]) ).
tcf(c_49709,plain,
( ( sK56 = sK58 )
| ( cons(sK57,sK56) != cons(sK57,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49705,c_9000]) ).
tcf(c_49712,plain,
( ( sK56 = sK59 )
| ( cons(sK57,sK56) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49704,c_9003]) ).
tcf(c_49734,plain,
( ( cons(sK57,sK56) = iPr_def_11 )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK56)) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_38041,c_39002]) ).
tcf(c_49735,plain,
( ( cons(sK57,sK59) = iPr_def_11 )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK56)) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_38042,c_39002]) ).
tcf(c_49736,plain,
( ( cons(sK57,sK58) = iPr_def_11 )
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK56)) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_38043,c_39002]) ).
tcf(c_49738,plain,
( ( sK12(cons(sK57,sK56),sK56) = iPr_def_11 )
| ~ ssList(sK12(cons(sK57,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_39135,c_39002]) ).
tcf(c_49741,plain,
( ( cons(sK57,sK58) = iPr_def_11 )
| ( cons(sK57,app(sK58,sK56)) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49736,c_45936]) ).
tcf(c_49744,plain,
( ( cons(sK57,sK59) = iPr_def_11 )
| ( cons(sK57,app(sK59,sK56)) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49735,c_42671]) ).
tcf(c_49747,plain,
( ( cons(sK57,sK56) = iPr_def_11 )
| ( cons(sK57,app(sK56,sK56)) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49734,c_38969]) ).
tcf(c_49750,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_39519,c_67]) ).
tcf(c_49753,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_39519,c_167]) ).
tcf(c_49754,plain,
( ( sK12(cons(sK57,app(sK56,sK56)),sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56))
| ( cons(sK57,app(sK56,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_39519,c_231]) ).
tcf(c_49755,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56))
| ( cons(sK57,app(sK56,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_39519,c_230]) ).
tcf(c_49756,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_39519,c_386]) ).
tcf(c_49759,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_39519,c_225]) ).
tcf(c_49760,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_39519,c_226]) ).
tcf(c_49761,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_39519,c_176]) ).
tcf(c_49762,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_39519,c_165]) ).
tcf(c_49763,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_39519,c_193]) ).
tcf(c_49764,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_39519,c_186]) ).
tcf(c_49765,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_39519,c_166]) ).
tcf(c_49766,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_39519,c_39002]) ).
tcf(c_49767,plain,
( ( sK12(cons(sK57,app(sK56,sK56)),sK56) = nil )
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56))
| ( cons(sK57,app(sK56,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_39519,c_25412]) ).
tcf(c_49768,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_49756,c_9004]) ).
tcf(c_49771,plain,
( ( nil = sK56 )
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56))
| ( cons(sK57,app(sK56,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49755,c_9004]) ).
tcf(c_49775,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49765,c_9004]) ).
tcf(c_49787,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK56,sK56)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49763,c_9004]) ).
tcf(c_49793,plain,
( ( sK12(cons(sK57,app(sK56,sK56)),sK56) = nil )
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56))
| ( cons(sK57,app(sK56,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49754,c_9004]) ).
tcf(c_49797,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_49762,c_9004]) ).
tcf(c_49802,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_49761,c_9004]) ).
tcf(c_49807,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_49753,c_9004]) ).
tcf(c_49813,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_49760,c_9004]) ).
tcf(c_49818,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_49759,c_9004]) ).
tcf(c_49823,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_49750,c_39519]) ).
tcf(c_49824,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_49823,c_9004]) ).
tcf(c_50092,plain,
~ rearsegP(sK56,cons(sK57,app(sK56,sK56))),
inference(global_subsumption_just,[status(thm)],[c_39520,c_38232,c_38969,c_38976,c_39520]) ).
tcf(c_50098,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_40267,c_173]) ).
tcf(c_50099,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_40267,c_174]) ).
tcf(c_50100,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_40267,c_63]) ).
tcf(c_50102,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_50100,c_38969]) ).
tcf(c_50105,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_50099,c_38969]) ).
tcf(c_50115,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_15889,c_223]) ).
tcf(c_50116,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_15889,c_212]) ).
tcf(c_50117,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_15889,c_206]) ).
tcf(c_50146,plain,
! [X0: $i] :
( frontsegP(sK58,X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,nil))
| ~ frontsegP(sK12(sK58,nil),X0) ),
inference(superposition,[status(thm)],[c_18721,c_173]) ).
tcf(c_50147,plain,
( ( sK12(sK58,nil) = sK58 )
| ~ ssList(sK58)
| ~ ssList(sK12(sK58,nil))
| ~ frontsegP(sK12(sK58,nil),sK58) ),
inference(superposition,[status(thm)],[c_18721,c_174]) ).
tcf(c_50148,plain,
( ( app(sK12(sK58,nil),sK11(sK58,sK12(sK58,nil))) = sK58 )
| ~ ssList(sK58)
| ~ ssList(sK12(sK58,nil)) ),
inference(superposition,[status(thm)],[c_18721,c_63]) ).
tcf(c_50149,plain,
( frontsegP(iPr_def_12,sK12(sK58,nil))
| ~ ssList(sK12(sK58,nil)) ),
inference(superposition,[status(thm)],[c_18721,c_18953]) ).
tcf(c_50152,plain,
( ( app(sK12(sK58,nil),sK11(sK58,sK12(sK58,nil))) = sK58 )
| ~ ssList(sK12(sK58,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50148,c_9000]) ).
tcf(c_50161,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ~ frontsegP(sK12(sK59,nil),X0) ),
inference(superposition,[status(thm)],[c_18741,c_173]) ).
tcf(c_50162,plain,
( ( sK12(sK59,nil) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK12(sK59,nil))
| ~ frontsegP(sK12(sK59,nil),sK59) ),
inference(superposition,[status(thm)],[c_18741,c_174]) ).
tcf(c_50163,plain,
( ( app(sK12(sK59,nil),sK11(sK59,sK12(sK59,nil))) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK12(sK59,nil)) ),
inference(superposition,[status(thm)],[c_18741,c_63]) ).
tcf(c_50164,plain,
( ( app(sK12(sK59,nil),sK11(sK59,sK12(sK59,nil))) = sK59 )
| ~ ssList(sK12(sK59,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50163,c_9003]) ).
tcf(c_50173,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ~ frontsegP(sK12(sK56,nil),X0) ),
inference(superposition,[status(thm)],[c_18761,c_173]) ).
tcf(c_50174,plain,
( ( sK12(sK56,nil) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK12(sK56,nil))
| ~ frontsegP(sK12(sK56,nil),sK56) ),
inference(superposition,[status(thm)],[c_18761,c_174]) ).
tcf(c_50175,plain,
( ( app(sK12(sK56,nil),sK11(sK56,sK12(sK56,nil))) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK12(sK56,nil)) ),
inference(superposition,[status(thm)],[c_18761,c_63]) ).
tcf(c_50176,plain,
( ( app(sK12(sK56,nil),sK11(sK56,sK12(sK56,nil))) = sK56 )
| ~ ssList(sK12(sK56,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50175,c_9004]) ).
tcf(c_50183,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_46042,c_223]) ).
tcf(c_50184,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_46042,c_212]) ).
tcf(c_50185,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_46042,c_206]) ).
tcf(c_50198,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_50183,c_46039]) ).
tcf(c_50210,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_46060,c_223]) ).
tcf(c_50211,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_46060,c_212]) ).
tcf(c_50212,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_46060,c_206]) ).
tcf(c_50225,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_50210,c_46059]) ).
tcf(c_50241,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK56,sK59)),X0),cons(X0,sK9(cons(sK57,app(sK56,sK59)),X0))) = cons(sK57,app(sK56,sK59)) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK56),X0)
| ~ ssList(cons(sK57,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_41935,c_57]) ).
tcf(c_50242,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK56,sK59)),X0)) = sK8(cons(sK57,app(sK56,sK59)),X0) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK56),X0)
| ~ ssList(cons(sK57,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_41935,c_12668]) ).
tcf(c_50243,plain,
! [X0: $i] :
( memberP(app(sK56,sK59),X0)
| ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK59))
| ~ memberP(cons(sK57,sK56),X0) ),
inference(superposition,[status(thm)],[c_41935,c_170]) ).
tcf(c_50244,plain,
! [X0: $i] :
( memberP(app(sK56,sK59),X0)
| ( X0 = sK57 )
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK59))
| ~ memberP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50243,c_8999]) ).
tcf(c_50250,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK56,sK59)),X0)) = sK8(cons(sK57,app(sK56,sK59)),X0) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50242,c_41916]) ).
tcf(c_50254,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK56,sK59)),X0),cons(X0,sK9(cons(sK57,app(sK56,sK59)),X0))) = cons(sK57,app(sK56,sK59)) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50241,c_41916]) ).
tcf(c_50267,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,app(sK56,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ frontsegP(cons(sK57,sK56),X0)
| ~ ssList(cons(sK57,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_41939,c_173]) ).
tcf(c_50268,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK59)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK56),X0)
| ~ ssList(cons(sK57,app(sK56,sK59)))
| ~ frontsegP(X0,cons(sK57,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_41939,c_174]) ).
tcf(c_50269,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,app(sK56,sK59)),X0)) = cons(sK57,app(sK56,sK59)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK56),X0)
| ~ ssList(cons(sK57,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_41939,c_63]) ).
tcf(c_50270,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK59))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK56),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_41939,c_178]) ).
tcf(c_50271,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK56,sK59),X1)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK59))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK56),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_41939,c_179]) ).
tcf(c_50273,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,app(sK56,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ frontsegP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50267,c_41916]) ).
tcf(c_50279,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK59))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK56),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50270,c_8999]) ).
tcf(c_50286,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK56,sK59),X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK59))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK56),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50271,c_8999]) ).
tcf(c_50293,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,app(sK56,sK59)),X0)) = cons(sK57,app(sK56,sK59)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50269,c_41916]) ).
tcf(c_50297,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK59)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK56),X0)
| ~ frontsegP(X0,cons(sK57,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50268,c_41916]) ).
tcf(c_50307,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_42120,c_67]) ).
tcf(c_50310,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_42120,c_167]) ).
tcf(c_50313,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_42120,c_386]) ).
tcf(c_50316,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_42120,c_225]) ).
tcf(c_50317,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_42120,c_226]) ).
tcf(c_50318,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_42120,c_176]) ).
tcf(c_50319,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_42120,c_165]) ).
tcf(c_50320,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_42120,c_193]) ).
tcf(c_50321,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_42120,c_186]) ).
tcf(c_50322,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_42120,c_166]) ).
tcf(c_50323,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_42120,c_25424]) ).
tcf(c_50325,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_50313,c_9003]) ).
tcf(c_50334,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_50319,c_9003]) ).
tcf(c_50339,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_50318,c_9003]) ).
tcf(c_50344,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_50310,c_9003]) ).
tcf(c_50350,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_50317,c_9003]) ).
tcf(c_50355,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_50316,c_9003]) ).
tcf(c_50360,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_50307,c_42120]) ).
tcf(c_50361,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_50360,c_9003]) ).
tcf(c_50398,plain,
~ rearsegP(sK59,cons(sK57,app(sK56,sK59))),
inference(global_subsumption_just,[status(thm)],[c_42121,c_41919,c_42121]) ).
tcf(c_50406,plain,
( ( nil = sK59 )
| ~ ssList(nil)
| ( cons(sK57,sK59) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_12891,c_42703]) ).
tcf(c_50407,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_17900,c_42703]) ).
tcf(c_50408,plain,
( ( sK56 = sK59 )
| ~ ssList(sK56)
| ( cons(sK57,sK56) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_38052,c_42703]) ).
tcf(c_50410,plain,
( ( sK59 = sK58 )
| ~ ssList(sK58)
| ( cons(sK57,sK59) != cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_45264,c_42703]) ).
tcf(c_50411,plain,
( ( nil = sK59 )
| ( cons(sK57,sK59) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50406,c_141]) ).
tcf(c_50414,plain,
( ( sK59 = sK58 )
| ( cons(sK57,sK59) != cons(sK57,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50410,c_9000]) ).
tcf(c_50431,plain,
( ( iPr_def_11 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ( cons(sK57,sK59) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_18427,c_42707]) ).
tcf(c_50434,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_19638,c_42707]) ).
tcf(c_50435,plain,
( ( cons(sK57,sK56) = iPr_def_11 )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_41652,c_42707]) ).
tcf(c_50436,plain,
( ( cons(sK57,sK59) = iPr_def_11 )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_41653,c_42707]) ).
tcf(c_50437,plain,
( ( cons(sK57,sK58) = iPr_def_11 )
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_41654,c_42707]) ).
tcf(c_50439,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_42120,c_42707]) ).
tcf(c_50440,plain,
( ( sK12(cons(sK57,sK59),sK59) = iPr_def_11 )
| ~ ssList(sK12(cons(sK57,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_43080,c_42707]) ).
tcf(c_50447,plain,
( ( cons(sK57,sK58) = iPr_def_11 )
| ( cons(sK57,app(sK58,sK59)) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50437,c_45936]) ).
tcf(c_50450,plain,
( ( cons(sK57,sK59) = iPr_def_11 )
| ( cons(sK57,app(sK59,sK59)) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50436,c_42671]) ).
tcf(c_50453,plain,
( ( cons(sK57,sK56) = iPr_def_11 )
| ( cons(sK57,app(sK56,sK59)) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50435,c_38969]) ).
tcf(c_50465,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK59,sK59)),X0),cons(X0,sK9(cons(sK57,app(sK59,sK59)),X0))) = cons(sK57,app(sK59,sK59)) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK59),X0)
| ~ ssList(cons(sK57,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_43392,c_57]) ).
tcf(c_50466,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK59,sK59)),X0)) = sK8(cons(sK57,app(sK59,sK59)),X0) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK59),X0)
| ~ ssList(cons(sK57,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_43392,c_12668]) ).
tcf(c_50467,plain,
! [X0: $i] :
( memberP(app(sK59,sK59),X0)
| ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK59))
| ~ memberP(cons(sK57,sK59),X0) ),
inference(superposition,[status(thm)],[c_43392,c_170]) ).
tcf(c_50468,plain,
! [X0: $i] :
( memberP(app(sK59,sK59),X0)
| ( X0 = sK57 )
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK59))
| ~ memberP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50467,c_8999]) ).
tcf(c_50474,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK59,sK59)),X0)) = sK8(cons(sK57,app(sK59,sK59)),X0) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50466,c_43373]) ).
tcf(c_50478,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK59,sK59)),X0),cons(X0,sK9(cons(sK57,app(sK59,sK59)),X0))) = cons(sK57,app(sK59,sK59)) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50465,c_43373]) ).
tcf(c_50491,plain,
( ssList(tl(tl(sK58)))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(tl(sK58)) ),
inference(superposition,[status(thm)],[c_15890,c_221]) ).
tcf(c_50518,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_19067]) ).
tcf(c_50519,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_19067]) ).
tcf(c_50520,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_19067]) ).
tcf(c_50521,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_19067]) ).
tcf(c_50522,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_19067]) ).
tcf(c_50523,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_19067]) ).
tcf(c_50524,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_19067]) ).
tcf(c_50534,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK60,sK34(X0))) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_19067]) ).
tcf(c_50535,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK60,sK33(X0))) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_19067]) ).
tcf(c_50536,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK60,sK32(X0))) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_19067]) ).
tcf(c_50537,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK60,sK39(X0))) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_19067]) ).
tcf(c_50538,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK60,sK38(X0))) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_19067]) ).
tcf(c_50539,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK60,sK37(X0))) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_19067]) ).
tcf(c_50540,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK60,sK44(X0))) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_19067]) ).
tcf(c_50541,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK60,sK43(X0))) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_19067]) ).
tcf(c_50542,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK60,sK42(X0))) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_19067]) ).
tcf(c_50543,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( tl(cons(sK60,sK48(X0))) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_19067]) ).
tcf(c_50544,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( tl(cons(sK60,sK47(X0))) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_19067]) ).
tcf(c_50545,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_19067]) ).
tcf(c_50546,plain,
tl(cons(sK60,nil)) = nil,
inference(superposition,[status(thm)],[c_141,c_19067]) ).
tcf(c_50547,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK60,sK49(X0))) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_19067]) ).
tcf(c_50548,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK60,tl(X0))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_19067]) ).
tcf(c_50549,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK60,sK52(X0))) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_19067]) ).
tcf(c_50550,plain,
tl(cons(sK60,sK56)) = sK56,
inference(superposition,[status(thm)],[c_9004,c_19067]) ).
tcf(c_50551,plain,
tl(cons(sK60,sK59)) = sK59,
inference(superposition,[status(thm)],[c_9003,c_19067]) ).
tcf(c_50552,plain,
tl(cons(sK60,sK58)) = sK58,
inference(superposition,[status(thm)],[c_9000,c_19067]) ).
tcf(c_50553,plain,
tl(cons(sK60,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_12995,c_19067]) ).
tcf(c_50554,plain,
tl(cons(sK60,iPr_def_11)) = iPr_def_11,
inference(superposition,[status(thm)],[c_12859,c_19067]) ).
tcf(c_50555,plain,
tl(cons(sK60,iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_18402,c_19067]) ).
tcf(c_50556,plain,
tl(cons(sK60,cons(sK57,sK56))) = cons(sK57,sK56),
inference(superposition,[status(thm)],[c_38969,c_19067]) ).
tcf(c_50557,plain,
tl(cons(sK60,cons(sK57,sK59))) = cons(sK57,sK59),
inference(superposition,[status(thm)],[c_42671,c_19067]) ).
tcf(c_50558,plain,
tl(cons(sK60,cons(sK57,sK58))) = cons(sK57,sK58),
inference(superposition,[status(thm)],[c_45936,c_19067]) ).
tcf(c_50560,plain,
( ( nil = sK59 )
| ( tl(cons(sK60,tl(sK59))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15493,c_19067]) ).
tcf(c_50561,plain,
( ( nil = sK58 )
| ( tl(cons(sK60,tl(sK58))) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15877,c_19067]) ).
tcf(c_50562,plain,
tl(cons(sK60,tl(iPr_def_10))) = tl(iPr_def_10),
inference(superposition,[status(thm)],[c_27333,c_19067]) ).
tcf(c_50563,plain,
tl(cons(sK60,tl(iPr_def_12))) = tl(iPr_def_12),
inference(superposition,[status(thm)],[c_19130,c_19067]) ).
tcf(c_50564,plain,
tl(cons(sK60,cons(sK57,app(sK56,sK56)))) = cons(sK57,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_39016,c_19067]) ).
tcf(c_50565,plain,
tl(cons(sK60,cons(sK57,app(sK59,sK56)))) = cons(sK57,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_42723,c_19067]) ).
tcf(c_50566,plain,
tl(cons(sK60,cons(sK57,app(sK58,sK56)))) = cons(sK57,app(sK58,sK56)),
inference(superposition,[status(thm)],[c_45988,c_19067]) ).
tcf(c_50567,plain,
tl(cons(sK60,cons(sK57,app(sK56,sK59)))) = cons(sK57,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_41916,c_19067]) ).
tcf(c_50568,plain,
tl(cons(sK60,cons(sK57,app(sK59,sK59)))) = cons(sK57,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_43373,c_19067]) ).
tcf(c_50569,plain,
tl(cons(sK60,cons(sK57,app(sK58,sK59)))) = cons(sK57,app(sK58,sK59)),
inference(superposition,[status(thm)],[c_45985,c_19067]) ).
tcf(c_50570,plain,
tl(cons(sK60,cons(sK57,app(sK56,sK58)))) = cons(sK57,app(sK56,sK58)),
inference(superposition,[status(thm)],[c_45632,c_19067]) ).
tcf(c_50571,plain,
tl(cons(sK60,cons(sK57,app(sK59,sK58)))) = cons(sK57,app(sK59,sK58)),
inference(superposition,[status(thm)],[c_46645,c_19067]) ).
tcf(c_50572,plain,
tl(cons(sK60,cons(sK57,app(sK58,sK58)))) = cons(sK57,app(sK58,sK58)),
inference(superposition,[status(thm)],[c_47111,c_19067]) ).
tcf(c_50573,plain,
tl(iPr_def_10) = nil,
inference(light_normalisation,[status(thm)],[c_50546,c_8986]) ).
tcf(c_50681,plain,
sK52(iPr_def_10) = nil,
inference(demodulation,[status(thm)],[c_18776,c_50573]) ).
tcf(c_50740,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,app(sK59,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ frontsegP(cons(sK57,sK59),X0)
| ~ ssList(cons(sK57,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_43396,c_173]) ).
tcf(c_50741,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK59)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK59),X0)
| ~ ssList(cons(sK57,app(sK59,sK59)))
| ~ frontsegP(X0,cons(sK57,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_43396,c_174]) ).
tcf(c_50742,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,app(sK59,sK59)),X0)) = cons(sK57,app(sK59,sK59)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK59),X0)
| ~ ssList(cons(sK57,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_43396,c_63]) ).
tcf(c_50743,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK59))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK59),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_43396,c_178]) ).
tcf(c_50744,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK59,sK59),X1)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK59))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK59),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_43396,c_179]) ).
tcf(c_50746,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,app(sK59,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ frontsegP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50740,c_43373]) ).
tcf(c_50752,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK59))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK59),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50743,c_8999]) ).
tcf(c_50759,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK59,sK59),X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK59))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK59),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50744,c_8999]) ).
tcf(c_50766,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,app(sK59,sK59)),X0)) = cons(sK57,app(sK59,sK59)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50742,c_43373]) ).
tcf(c_50770,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK59)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK59),X0)
| ~ frontsegP(X0,cons(sK57,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50741,c_43373]) ).
tcf(c_50780,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_43598,c_67]) ).
tcf(c_50783,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_43598,c_167]) ).
tcf(c_50786,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_43598,c_386]) ).
tcf(c_50789,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_43598,c_225]) ).
tcf(c_50790,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_43598,c_226]) ).
tcf(c_50791,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_43598,c_176]) ).
tcf(c_50792,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_43598,c_165]) ).
tcf(c_50793,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_43598,c_193]) ).
tcf(c_50794,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_43598,c_186]) ).
tcf(c_50795,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_43598,c_166]) ).
tcf(c_50796,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_43598,c_42707]) ).
tcf(c_50797,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_43598,c_25424]) ).
tcf(c_50799,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_50786,c_9003]) ).
tcf(c_50811,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_50792,c_9003]) ).
tcf(c_50816,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_50791,c_9003]) ).
tcf(c_50821,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_50783,c_9003]) ).
tcf(c_50827,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_50790,c_9003]) ).
tcf(c_50832,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_50789,c_9003]) ).
tcf(c_50837,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_50780,c_43598]) ).
tcf(c_50838,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_50837,c_9003]) ).
tcf(c_50880,plain,
~ rearsegP(sK59,cons(sK57,app(sK59,sK59))),
inference(global_subsumption_just,[status(thm)],[c_43599,c_43376,c_43599]) ).
tcf(c_50882,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_43627,c_67]) ).
tcf(c_50885,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_43627,c_167]) ).
tcf(c_50886,plain,
( ( sK12(cons(sK57,app(sK59,sK56)),sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56))
| ( cons(sK57,app(sK59,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_43627,c_231]) ).
tcf(c_50887,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56))
| ( cons(sK57,app(sK59,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_43627,c_230]) ).
tcf(c_50888,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_43627,c_386]) ).
tcf(c_50891,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_43627,c_225]) ).
tcf(c_50892,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_43627,c_226]) ).
tcf(c_50893,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_43627,c_176]) ).
tcf(c_50894,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_43627,c_165]) ).
tcf(c_50895,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_43627,c_193]) ).
tcf(c_50896,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_43627,c_186]) ).
tcf(c_50897,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_43627,c_166]) ).
tcf(c_50898,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_43627,c_39002]) ).
tcf(c_50899,plain,
( ( sK12(cons(sK57,app(sK59,sK56)),sK56) = nil )
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56))
| ( cons(sK57,app(sK59,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_43627,c_25412]) ).
tcf(c_50900,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_50888,c_9004]) ).
tcf(c_50903,plain,
( ( nil = sK56 )
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56))
| ( cons(sK57,app(sK59,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50887,c_9004]) ).
tcf(c_50907,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50897,c_9004]) ).
tcf(c_50919,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK59,sK56)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50895,c_9004]) ).
tcf(c_50925,plain,
( ( sK12(cons(sK57,app(sK59,sK56)),sK56) = nil )
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56))
| ( cons(sK57,app(sK59,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50886,c_9004]) ).
tcf(c_50929,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_50894,c_9004]) ).
tcf(c_50934,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_50893,c_9004]) ).
tcf(c_50939,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_50885,c_9004]) ).
tcf(c_50945,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_50892,c_9004]) ).
tcf(c_50950,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_50891,c_9004]) ).
tcf(c_50955,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_50882,c_43627]) ).
tcf(c_50956,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_50955,c_9004]) ).
tcf(c_50969,plain,
~ rearsegP(sK56,cons(sK57,app(sK59,sK56))),
inference(global_subsumption_just,[status(thm)],[c_43628,c_38525,c_38524,c_39536,c_42671,c_42681]) ).
tcf(c_50975,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_44751,c_173]) ).
tcf(c_50976,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_44751,c_174]) ).
tcf(c_50977,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_44751,c_63]) ).
tcf(c_50979,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_50977,c_42671]) ).
tcf(c_50982,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_50976,c_42671]) ).
tcf(c_50992,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK56,sK58)),X0),cons(X0,sK9(cons(sK57,app(sK56,sK58)),X0))) = cons(sK57,app(sK56,sK58)) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK56),X0)
| ~ ssList(cons(sK57,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_45648,c_57]) ).
tcf(c_50993,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK56,sK58)),X0)) = sK8(cons(sK57,app(sK56,sK58)),X0) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK56),X0)
| ~ ssList(cons(sK57,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_45648,c_12668]) ).
tcf(c_50994,plain,
! [X0: $i] :
( memberP(app(sK56,sK58),X0)
| ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK58))
| ~ memberP(cons(sK57,sK56),X0) ),
inference(superposition,[status(thm)],[c_45648,c_170]) ).
tcf(c_50995,plain,
! [X0: $i] :
( memberP(app(sK56,sK58),X0)
| ( X0 = sK57 )
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK58))
| ~ memberP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50994,c_8999]) ).
tcf(c_51001,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK56,sK58)),X0)) = sK8(cons(sK57,app(sK56,sK58)),X0) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50993,c_45632]) ).
tcf(c_51005,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK56,sK58)),X0),cons(X0,sK9(cons(sK57,app(sK56,sK58)),X0))) = cons(sK57,app(sK56,sK58)) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50992,c_45632]) ).
tcf(c_51018,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,app(sK56,sK58)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ frontsegP(cons(sK57,sK56),X0)
| ~ ssList(cons(sK57,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_45652,c_173]) ).
tcf(c_51019,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK58)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK56),X0)
| ~ ssList(cons(sK57,app(sK56,sK58)))
| ~ frontsegP(X0,cons(sK57,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_45652,c_174]) ).
tcf(c_51020,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,app(sK56,sK58)),X0)) = cons(sK57,app(sK56,sK58)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK56),X0)
| ~ ssList(cons(sK57,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_45652,c_63]) ).
tcf(c_51021,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK58))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK56),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_45652,c_178]) ).
tcf(c_51022,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK56,sK58),X1)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK58))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK56),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_45652,c_179]) ).
tcf(c_51024,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,app(sK56,sK58)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ frontsegP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51018,c_45632]) ).
tcf(c_51030,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK58))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK56),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51021,c_8999]) ).
tcf(c_51037,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK56,sK58),X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK58))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK56),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51022,c_8999]) ).
tcf(c_51044,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,app(sK56,sK58)),X0)) = cons(sK57,app(sK56,sK58)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51020,c_45632]) ).
tcf(c_51048,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK58)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK56),X0)
| ~ frontsegP(X0,cons(sK57,app(sK56,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51019,c_45632]) ).
tcf(c_51064,plain,
( ssItem(hd(tl(sK58)))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(tl(sK58)) ),
inference(superposition,[status(thm)],[c_15891,c_219]) ).
tcf(c_51073,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_19068]) ).
tcf(c_51074,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_19068]) ).
tcf(c_51075,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK60,app(X0,X1))) = sK60 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_19068]) ).
tcf(c_51076,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_19068]) ).
tcf(c_51077,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_19068]) ).
tcf(c_51078,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_19068]) ).
tcf(c_51079,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_19068]) ).
tcf(c_51089,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK60,sK34(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_19068]) ).
tcf(c_51090,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK60,sK33(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_19068]) ).
tcf(c_51091,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK60,sK32(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_19068]) ).
tcf(c_51092,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK60,sK39(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_19068]) ).
tcf(c_51093,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK60,sK38(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_19068]) ).
tcf(c_51094,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK60,sK37(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_19068]) ).
tcf(c_51095,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK60,sK44(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_19068]) ).
tcf(c_51096,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK60,sK43(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_19068]) ).
tcf(c_51097,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK60,sK42(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_19068]) ).
tcf(c_51098,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(cons(sK60,sK48(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_19068]) ).
tcf(c_51099,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(cons(sK60,sK47(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_19068]) ).
tcf(c_51100,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK60,cons(X0,X1))) = sK60 )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_19068]) ).
tcf(c_51101,plain,
hd(cons(sK60,nil)) = sK60,
inference(superposition,[status(thm)],[c_141,c_19068]) ).
tcf(c_51102,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK60,sK49(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_19068]) ).
tcf(c_51103,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK60,tl(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_19068]) ).
tcf(c_51104,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK60,sK52(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_19068]) ).
tcf(c_51105,plain,
hd(cons(sK60,sK56)) = sK60,
inference(superposition,[status(thm)],[c_9004,c_19068]) ).
tcf(c_51106,plain,
hd(cons(sK60,sK59)) = sK60,
inference(superposition,[status(thm)],[c_9003,c_19068]) ).
tcf(c_51107,plain,
hd(cons(sK60,sK58)) = sK60,
inference(superposition,[status(thm)],[c_9000,c_19068]) ).
tcf(c_51108,plain,
hd(cons(sK60,iPr_def_12)) = sK60,
inference(superposition,[status(thm)],[c_12995,c_19068]) ).
tcf(c_51109,plain,
hd(cons(sK60,iPr_def_11)) = sK60,
inference(superposition,[status(thm)],[c_12859,c_19068]) ).
tcf(c_51110,plain,
hd(cons(sK60,iPr_def_10)) = sK60,
inference(superposition,[status(thm)],[c_18402,c_19068]) ).
tcf(c_51111,plain,
hd(cons(sK60,cons(sK57,sK56))) = sK60,
inference(superposition,[status(thm)],[c_38969,c_19068]) ).
tcf(c_51112,plain,
hd(cons(sK60,cons(sK57,sK59))) = sK60,
inference(superposition,[status(thm)],[c_42671,c_19068]) ).
tcf(c_51113,plain,
hd(cons(sK60,cons(sK57,sK58))) = sK60,
inference(superposition,[status(thm)],[c_45936,c_19068]) ).
tcf(c_51115,plain,
( ( nil = sK59 )
| ( hd(cons(sK60,tl(sK59))) = sK60 ) ),
inference(superposition,[status(thm)],[c_15493,c_19068]) ).
tcf(c_51116,plain,
( ( nil = sK58 )
| ( hd(cons(sK60,tl(sK58))) = sK60 ) ),
inference(superposition,[status(thm)],[c_15877,c_19068]) ).
tcf(c_51117,plain,
hd(cons(sK60,tl(iPr_def_12))) = sK60,
inference(superposition,[status(thm)],[c_19130,c_19068]) ).
tcf(c_51118,plain,
hd(cons(sK60,cons(sK57,app(sK56,sK56)))) = sK60,
inference(superposition,[status(thm)],[c_39016,c_19068]) ).
tcf(c_51119,plain,
hd(cons(sK60,cons(sK57,app(sK59,sK56)))) = sK60,
inference(superposition,[status(thm)],[c_42723,c_19068]) ).
tcf(c_51120,plain,
hd(cons(sK60,cons(sK57,app(sK58,sK56)))) = sK60,
inference(superposition,[status(thm)],[c_45988,c_19068]) ).
tcf(c_51121,plain,
hd(cons(sK60,cons(sK57,app(sK56,sK59)))) = sK60,
inference(superposition,[status(thm)],[c_41916,c_19068]) ).
tcf(c_51122,plain,
hd(cons(sK60,cons(sK57,app(sK59,sK59)))) = sK60,
inference(superposition,[status(thm)],[c_43373,c_19068]) ).
tcf(c_51123,plain,
hd(cons(sK60,cons(sK57,app(sK58,sK59)))) = sK60,
inference(superposition,[status(thm)],[c_45985,c_19068]) ).
tcf(c_51124,plain,
hd(cons(sK60,cons(sK57,app(sK56,sK58)))) = sK60,
inference(superposition,[status(thm)],[c_45632,c_19068]) ).
tcf(c_51125,plain,
hd(cons(sK60,cons(sK57,app(sK59,sK58)))) = sK60,
inference(superposition,[status(thm)],[c_46645,c_19068]) ).
tcf(c_51126,plain,
hd(cons(sK60,cons(sK57,app(sK58,sK58)))) = sK60,
inference(superposition,[status(thm)],[c_47111,c_19068]) ).
tcf(c_51127,plain,
hd(iPr_def_10) = sK60,
inference(light_normalisation,[status(thm)],[c_51101,c_8986]) ).
tcf(c_51223,plain,
sK51(iPr_def_10) = sK60,
inference(demodulation,[status(thm)],[c_18430,c_51127]) ).
tcf(c_51341,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_51127,c_223]) ).
tcf(c_51342,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_51127,c_212]) ).
tcf(c_51343,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_51127,c_206]) ).
tcf(c_51344,plain,
! [X0: $i] :
( totalorderedP(cons(X0,iPr_def_10))
| ~ ssItem(X0)
| ~ leq(X0,sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51343,c_18417,c_18406,c_18402]) ).
tcf(c_51348,plain,
! [X0: $i] :
( strictorderedP(cons(X0,iPr_def_10))
| ~ ssItem(X0)
| ~ lt(X0,sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51342,c_18417,c_18405,c_18402]) ).
tcf(c_51352,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_51341,c_50573]) ).
tcf(c_51353,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ( X0 = nil )
| ~ ssList(X0)
| ( tl(X0) != nil )
| ( hd(X0) != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51352,c_18417,c_18402]) ).
tcf(c_51364,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_51105,c_223]) ).
tcf(c_51365,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_51105,c_212]) ).
tcf(c_51366,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_51105,c_206]) ).
tcf(c_51379,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_51364,c_50550]) ).
tcf(c_51394,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_51106,c_223]) ).
tcf(c_51395,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_51106,c_212]) ).
tcf(c_51396,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_51106,c_206]) ).
tcf(c_51409,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_51394,c_50551]) ).
tcf(c_51421,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_51107,c_223]) ).
tcf(c_51422,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_51107,c_212]) ).
tcf(c_51423,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_51107,c_206]) ).
tcf(c_51436,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_51421,c_50552]) ).
tcf(c_51453,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_45835,c_67]) ).
tcf(c_51456,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_45835,c_167]) ).
tcf(c_51459,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_45835,c_386]) ).
tcf(c_51462,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_45835,c_225]) ).
tcf(c_51463,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_45835,c_226]) ).
tcf(c_51464,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_45835,c_176]) ).
tcf(c_51465,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_45835,c_165]) ).
tcf(c_51466,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_45835,c_193]) ).
tcf(c_51467,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_45835,c_186]) ).
tcf(c_51468,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_45835,c_166]) ).
tcf(c_51470,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_51459,c_9000]) ).
tcf(c_51476,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_51465,c_9000]) ).
tcf(c_51481,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_51464,c_9000]) ).
tcf(c_51486,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_51456,c_9000]) ).
tcf(c_51492,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_51463,c_9000]) ).
tcf(c_51497,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_51462,c_9000]) ).
tcf(c_51502,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_51453,c_45835]) ).
tcf(c_51503,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_51502,c_9000]) ).
tcf(c_51539,plain,
~ rearsegP(sK58,cons(sK57,app(sK56,sK58))),
inference(global_subsumption_just,[status(thm)],[c_45836,c_45635,c_45836]) ).
tcf(c_51547,plain,
( ( nil = sK58 )
| ~ ssList(nil)
| ( cons(sK57,sK58) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_12891,c_45965]) ).
tcf(c_51548,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_17900,c_45965]) ).
tcf(c_51549,plain,
( ( sK56 = sK58 )
| ~ ssList(sK56)
| ( cons(sK57,sK56) != cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_38052,c_45965]) ).
tcf(c_51550,plain,
( ( sK59 = sK58 )
| ~ ssList(sK59)
| ( cons(sK57,sK59) != cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_41668,c_45965]) ).
tcf(c_51552,plain,
( ( nil = sK58 )
| ( cons(sK57,sK58) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51547,c_141]) ).
tcf(c_51568,plain,
( ( cons(sK57,sK56) = iPr_def_11 )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK58)) != cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_45245,c_45969]) ).
tcf(c_51569,plain,
( ( cons(sK57,sK59) = iPr_def_11 )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK58)) != cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_45246,c_45969]) ).
tcf(c_51570,plain,
( ( cons(sK57,sK58) = iPr_def_11 )
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK58)) != cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_45247,c_45969]) ).
tcf(c_51572,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_45835,c_45969]) ).
tcf(c_51573,plain,
( ( sK12(cons(sK57,sK58),sK58) = iPr_def_11 )
| ~ ssList(sK12(cons(sK57,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_46202,c_45969]) ).
tcf(c_51576,plain,
( ( cons(sK57,sK58) = iPr_def_11 )
| ( cons(sK57,app(sK58,sK58)) != cons(sK57,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51570,c_45936]) ).
tcf(c_51579,plain,
( ( cons(sK57,sK59) = iPr_def_11 )
| ( cons(sK57,app(sK59,sK58)) != cons(sK57,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51569,c_42671]) ).
tcf(c_51582,plain,
( ( cons(sK57,sK56) = iPr_def_11 )
| ( cons(sK57,app(sK56,sK58)) != cons(sK57,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51568,c_38969]) ).
tcf(c_51607,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_46661,c_57]) ).
tcf(c_51608,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_46661,c_12668]) ).
tcf(c_51609,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_46661,c_170]) ).
tcf(c_51610,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_51609,c_8999]) ).
tcf(c_51616,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_51608,c_46645]) ).
tcf(c_51620,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_51607,c_46645]) ).
tcf(c_51641,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_46665,c_173]) ).
tcf(c_51642,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_46665,c_174]) ).
tcf(c_51643,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_46665,c_63]) ).
tcf(c_51644,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_46665,c_178]) ).
tcf(c_51645,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_46665,c_179]) ).
tcf(c_51647,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_51641,c_46645]) ).
tcf(c_51653,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_51644,c_8999]) ).
tcf(c_51660,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_51645,c_8999]) ).
tcf(c_51667,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_51643,c_46645]) ).
tcf(c_51671,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_51642,c_46645]) ).
tcf(c_51727,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_47055,c_67]) ).
tcf(c_51730,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_47055,c_167]) ).
tcf(c_51733,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_47055,c_386]) ).
tcf(c_51736,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_47055,c_225]) ).
tcf(c_51737,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_47055,c_226]) ).
tcf(c_51738,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_47055,c_176]) ).
tcf(c_51739,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_47055,c_165]) ).
tcf(c_51740,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_47055,c_193]) ).
tcf(c_51741,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_47055,c_186]) ).
tcf(c_51742,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_47055,c_166]) ).
tcf(c_51743,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_47055,c_45969]) ).
tcf(c_51745,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_51733,c_9000]) ).
tcf(c_51754,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_51739,c_9000]) ).
tcf(c_51759,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_51738,c_9000]) ).
tcf(c_51764,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_51730,c_9000]) ).
tcf(c_51770,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_51737,c_9000]) ).
tcf(c_51775,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_51736,c_9000]) ).
tcf(c_51780,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_51727,c_47055]) ).
tcf(c_51781,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_51780,c_9000]) ).
tcf(c_51832,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_15893,c_67]) ).
tcf(c_51838,plain,
( frontsegP(tl(sK58),tl(sK58))
| ( nil = sK58 )
| ~ ssList(nil)
| ~ ssList(tl(sK58)) ),
inference(superposition,[status(thm)],[c_15893,c_386]) ).
tcf(c_51839,plain,
( rearsegP(tl(sK58),nil)
| ( nil = sK58 )
| ~ ssList(nil)
| ~ ssList(tl(sK58)) ),
inference(superposition,[status(thm)],[c_15893,c_383]) ).
tcf(c_51841,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_15893,c_225]) ).
tcf(c_51842,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_15893,c_226]) ).
tcf(c_51845,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_15893,c_193]) ).
tcf(c_51846,plain,
! [X0: $i] :
( rearsegP(tl(sK58),X0)
| ( nil = sK58 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_15893,c_186]) ).
tcf(c_51847,plain,
! [X0: $i] :
( memberP(tl(sK58),X0)
| ( nil = sK58 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(tl(sK58))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_15893,c_166]) ).
tcf(c_51851,plain,
( rearsegP(tl(sK58),nil)
| ( nil = sK58 )
| ~ ssList(tl(sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51839,c_141]) ).
tcf(c_51855,plain,
( frontsegP(tl(sK58),tl(sK58))
| ( nil = sK58 )
| ~ ssList(tl(sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51838,c_141]) ).
tcf(c_51859,plain,
! [X0: $i] :
( memberP(tl(sK58),X0)
| ( nil = sK58 )
| ~ ssItem(X0)
| ~ ssList(tl(sK58))
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51847,c_141]) ).
tcf(c_51865,plain,
! [X0: $i] :
( rearsegP(tl(sK58),X0)
| ( nil = sK58 )
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51846,c_141]) ).
tcf(c_51871,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_51845,c_141]) ).
tcf(c_51878,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_51842,c_141]) ).
tcf(c_51884,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_51841,c_141]) ).
tcf(c_51890,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_51832,c_141]) ).
tcf(c_51971,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_19361]) ).
tcf(c_51972,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_19361]) ).
tcf(c_51973,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_19361]) ).
tcf(c_51974,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_19361]) ).
tcf(c_51975,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_19361]) ).
tcf(c_51976,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_19361]) ).
tcf(c_51977,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_19361]) ).
tcf(c_51987,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(app(iPr_def_11,sK34(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_19361]) ).
tcf(c_51988,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(app(iPr_def_11,sK33(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_19361]) ).
tcf(c_51989,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(app(iPr_def_11,sK32(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_19361]) ).
tcf(c_51990,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(app(iPr_def_11,sK39(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_19361]) ).
tcf(c_51991,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(app(iPr_def_11,sK38(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_19361]) ).
tcf(c_51992,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(app(iPr_def_11,sK37(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_19361]) ).
tcf(c_51993,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(app(iPr_def_11,sK44(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_19361]) ).
tcf(c_51994,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(app(iPr_def_11,sK43(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_19361]) ).
tcf(c_51995,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(app(iPr_def_11,sK42(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_19361]) ).
tcf(c_51996,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(app(iPr_def_11,sK48(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_19361]) ).
tcf(c_51997,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(app(iPr_def_11,sK47(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_19361]) ).
tcf(c_51998,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_19361]) ).
tcf(c_51999,plain,
hd(app(iPr_def_11,nil)) = sK57,
inference(superposition,[status(thm)],[c_141,c_19361]) ).
tcf(c_52000,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(app(iPr_def_11,sK49(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_19361]) ).
tcf(c_52001,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(app(iPr_def_11,tl(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_19361]) ).
tcf(c_52002,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(app(iPr_def_11,sK52(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_19361]) ).
tcf(c_52003,plain,
hd(app(iPr_def_11,sK56)) = sK57,
inference(superposition,[status(thm)],[c_9004,c_19361]) ).
tcf(c_52004,plain,
hd(app(iPr_def_11,sK59)) = sK57,
inference(superposition,[status(thm)],[c_9003,c_19361]) ).
tcf(c_52005,plain,
hd(app(iPr_def_11,sK58)) = sK57,
inference(superposition,[status(thm)],[c_9000,c_19361]) ).
tcf(c_52006,plain,
hd(app(iPr_def_11,iPr_def_12)) = sK57,
inference(superposition,[status(thm)],[c_12995,c_19361]) ).
tcf(c_52007,plain,
hd(app(iPr_def_11,iPr_def_11)) = sK57,
inference(superposition,[status(thm)],[c_12859,c_19361]) ).
tcf(c_52008,plain,
hd(app(iPr_def_11,iPr_def_10)) = sK57,
inference(superposition,[status(thm)],[c_18402,c_19361]) ).
tcf(c_52009,plain,
hd(app(iPr_def_11,cons(sK57,sK56))) = sK57,
inference(superposition,[status(thm)],[c_38969,c_19361]) ).
tcf(c_52010,plain,
hd(app(iPr_def_11,cons(sK57,sK59))) = sK57,
inference(superposition,[status(thm)],[c_42671,c_19361]) ).
tcf(c_52011,plain,
hd(app(iPr_def_11,cons(sK57,sK58))) = sK57,
inference(superposition,[status(thm)],[c_45936,c_19361]) ).
tcf(c_52012,plain,
( ( nil = sK56 )
| ( hd(app(iPr_def_11,tl(sK56))) = sK57 ) ),
inference(superposition,[status(thm)],[c_15456,c_19361]) ).
tcf(c_52013,plain,
( ( nil = sK59 )
| ( hd(app(iPr_def_11,tl(sK59))) = sK57 ) ),
inference(superposition,[status(thm)],[c_15493,c_19361]) ).
tcf(c_52014,plain,
( ( nil = sK58 )
| ( hd(app(iPr_def_11,tl(sK58))) = sK57 ) ),
inference(superposition,[status(thm)],[c_15877,c_19361]) ).
tcf(c_52015,plain,
hd(app(iPr_def_11,tl(iPr_def_12))) = sK57,
inference(superposition,[status(thm)],[c_19130,c_19361]) ).
tcf(c_52016,plain,
hd(app(iPr_def_11,cons(sK57,app(sK56,sK56)))) = sK57,
inference(superposition,[status(thm)],[c_39016,c_19361]) ).
tcf(c_52017,plain,
hd(app(iPr_def_11,cons(sK57,app(sK59,sK56)))) = sK57,
inference(superposition,[status(thm)],[c_42723,c_19361]) ).
tcf(c_52018,plain,
hd(app(iPr_def_11,cons(sK57,app(sK58,sK56)))) = sK57,
inference(superposition,[status(thm)],[c_45988,c_19361]) ).
tcf(c_52019,plain,
hd(app(iPr_def_11,cons(sK57,app(sK56,sK59)))) = sK57,
inference(superposition,[status(thm)],[c_41916,c_19361]) ).
tcf(c_52020,plain,
hd(app(iPr_def_11,cons(sK57,app(sK59,sK59)))) = sK57,
inference(superposition,[status(thm)],[c_43373,c_19361]) ).
tcf(c_52021,plain,
hd(app(iPr_def_11,cons(sK57,app(sK58,sK59)))) = sK57,
inference(superposition,[status(thm)],[c_45985,c_19361]) ).
tcf(c_52022,plain,
hd(app(iPr_def_11,cons(sK57,app(sK56,sK58)))) = sK57,
inference(superposition,[status(thm)],[c_45632,c_19361]) ).
tcf(c_52023,plain,
hd(app(iPr_def_11,cons(sK57,app(sK59,sK58)))) = sK57,
inference(superposition,[status(thm)],[c_46645,c_19361]) ).
tcf(c_52024,plain,
hd(app(iPr_def_11,cons(sK57,app(sK58,sK58)))) = sK57,
inference(superposition,[status(thm)],[c_47111,c_19361]) ).
tcf(c_52414,plain,
( frontsegP(iPr_def_10,sK58)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_13748,c_21096]) ).
tcf(c_52417,plain,
frontsegP(iPr_def_10,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_52414,c_9000]) ).
tcf(c_52418,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0) ),
inference(superposition,[status(thm)],[c_52417,c_173]) ).
tcf(c_52419,plain,
( ( sK58 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK58)
| ~ frontsegP(sK58,iPr_def_10) ),
inference(superposition,[status(thm)],[c_52417,c_174]) ).
tcf(c_52420,plain,
( ( app(sK58,sK11(iPr_def_10,sK58)) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_52417,c_63]) ).
tcf(c_52421,plain,
app(sK58,sK11(iPr_def_10,sK58)) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_52420,c_18402,c_9000]) ).
tcf(c_52422,plain,
( ( sK58 = iPr_def_10 )
| ~ frontsegP(sK58,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52419,c_18402,c_9000]) ).
tcf(c_52425,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52418,c_18402,c_9000]) ).
tcf(c_52431,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_51108,c_223]) ).
tcf(c_52432,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_51108,c_212]) ).
tcf(c_52433,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_51108,c_206]) ).
tcf(c_52446,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_52431,c_50553]) ).
tcf(c_52458,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_51109,c_223]) ).
tcf(c_52459,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_51109,c_212]) ).
tcf(c_52460,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_51109,c_206]) ).
tcf(c_52473,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_52458,c_50554]) ).
tcf(c_52485,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_51110,c_223]) ).
tcf(c_52486,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_51110,c_212]) ).
tcf(c_52487,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_51110,c_206]) ).
tcf(c_52500,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_52485,c_50555]) ).
tcf(c_52510,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_52421,c_67]) ).
tcf(c_52513,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_52421,c_167]) ).
tcf(c_52517,plain,
( rearsegP(iPr_def_10,sK11(iPr_def_10,sK58))
| ~ ssList(sK58)
| ~ ssList(sK11(iPr_def_10,sK58)) ),
inference(superposition,[status(thm)],[c_52421,c_383]) ).
tcf(c_52519,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_52421,c_225]) ).
tcf(c_52520,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_52421,c_226]) ).
tcf(c_52521,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_52421,c_176]) ).
tcf(c_52522,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_52421,c_165]) ).
tcf(c_52523,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_52421,c_193]) ).
tcf(c_52524,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_52421,c_186]) ).
tcf(c_52525,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_52421,c_166]) ).
tcf(c_52526,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_52421,c_26228]) ).
tcf(c_52527,plain,
( ( sK11(iPr_def_10,sK58) = nil )
| ~ ssList(sK11(iPr_def_10,sK58))
| ( sK58 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_52421,c_26192]) ).
tcf(c_52528,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_52421,c_26455]) ).
tcf(c_52529,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(sK11(iPr_def_10,sK58)) ),
inference(superposition,[status(thm)],[c_52421,c_27036]) ).
tcf(c_52531,plain,
( rearsegP(iPr_def_10,sK11(iPr_def_10,sK58))
| ~ ssList(sK11(iPr_def_10,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52517,c_9000]) ).
tcf(c_52538,plain,
( segmentP(iPr_def_10,sK58)
| ~ ssList(iPr_def_10)
| ~ ssList(sK11(iPr_def_10,sK58)) ),
inference(light_normalisation,[status(thm)],[c_52528,c_52421]) ).
tcf(c_52539,plain,
( segmentP(iPr_def_10,sK58)
| ~ ssList(sK11(iPr_def_10,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52538,c_18402]) ).
tcf(c_52548,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_52522,c_9000]) ).
tcf(c_52554,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_52525,c_9000]) ).
tcf(c_52559,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_52524,c_9000]) ).
tcf(c_52564,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_52513,c_9000]) ).
tcf(c_52570,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_52520,c_9000]) ).
tcf(c_52575,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_52519,c_9000]) ).
tcf(c_52580,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_52523,c_9000]) ).
tcf(c_52586,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_52510,c_52421]) ).
tcf(c_52587,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_52586,c_9000]) ).
tcf(c_52655,plain,
( frontsegP(iPr_def_10,sK12(sK58,sK58))
| ~ ssList(sK12(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_18661,c_52425]) ).
tcf(c_52656,plain,
( frontsegP(iPr_def_10,sK12(sK58,nil))
| ~ ssList(sK12(sK58,nil)) ),
inference(superposition,[status(thm)],[c_18721,c_52425]) ).
tcf(c_52665,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_52531,c_183]) ).
tcf(c_52666,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_52531,c_184]) ).
tcf(c_52667,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_52531,c_66]) ).
tcf(c_52668,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_52667,c_18402]) ).
tcf(c_52671,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_52666,c_18402]) ).
tcf(c_52676,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(global_subsumption_just,[status(thm)],[c_52548,c_18539,c_22335]) ).
tcf(c_52686,plain,
~ rearsegP(sK58,cons(sK57,app(sK59,sK58))),
inference(global_subsumption_just,[status(thm)],[c_47056,c_46648,c_47056]) ).
tcf(c_52694,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_47127,c_57]) ).
tcf(c_52695,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_47127,c_12668]) ).
tcf(c_52696,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_47127,c_170]) ).
tcf(c_52697,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_52696,c_8999]) ).
tcf(c_52703,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_52695,c_47111]) ).
tcf(c_52707,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_52694,c_47111]) ).
tcf(c_52720,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_47131,c_173]) ).
tcf(c_52721,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_47131,c_174]) ).
tcf(c_52722,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_47131,c_63]) ).
tcf(c_52723,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_47131,c_178]) ).
tcf(c_52724,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_47131,c_179]) ).
tcf(c_52726,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_52720,c_47111]) ).
tcf(c_52732,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_52723,c_8999]) ).
tcf(c_52739,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_52724,c_8999]) ).
tcf(c_52746,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_52722,c_47111]) ).
tcf(c_52750,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_52721,c_47111]) ).
tcf(c_52764,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_15894,c_67]) ).
tcf(c_52770,plain,
( frontsegP(tl(sK58),nil)
| ( nil = sK58 )
| ~ ssList(nil)
| ~ ssList(tl(sK58)) ),
inference(superposition,[status(thm)],[c_15894,c_386]) ).
tcf(c_52771,plain,
( rearsegP(tl(sK58),tl(sK58))
| ( nil = sK58 )
| ~ ssList(nil)
| ~ ssList(tl(sK58)) ),
inference(superposition,[status(thm)],[c_15894,c_383]) ).
tcf(c_52773,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_15894,c_225]) ).
tcf(c_52777,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_15894,c_226]) ).
tcf(c_52778,plain,
! [X0: $i] :
( frontsegP(tl(sK58),X0)
| ( nil = sK58 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_15894,c_176]) ).
tcf(c_52780,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_15894,c_193]) ).
tcf(c_52783,plain,
( frontsegP(tl(sK58),nil)
| ( nil = sK58 )
| ~ ssList(tl(sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52770,c_141]) ).
tcf(c_52787,plain,
( rearsegP(tl(sK58),tl(sK58))
| ( nil = sK58 )
| ~ ssList(tl(sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52771,c_141]) ).
tcf(c_52791,plain,
! [X0: $i] :
( frontsegP(tl(sK58),X0)
| ( nil = sK58 )
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52778,c_141]) ).
tcf(c_52797,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_52777,c_141]) ).
tcf(c_52803,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_52773,c_141]) ).
tcf(c_52809,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_52780,c_141]) ).
tcf(c_52816,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_52764,c_141]) ).
tcf(c_52879,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_28608,c_184]) ).
tcf(c_52880,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_28608,c_66]) ).
tcf(c_52881,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_52880,c_12995]) ).
tcf(c_52884,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_52879,c_12995]) ).
tcf(c_52890,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_52006,c_223]) ).
tcf(c_52891,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_52006,c_212]) ).
tcf(c_52892,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_52006,c_206]) ).
tcf(c_52916,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_52007,c_223]) ).
tcf(c_52917,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_52007,c_212]) ).
tcf(c_52918,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_52007,c_206]) ).
tcf(c_52942,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_52008,c_223]) ).
tcf(c_52943,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_52008,c_212]) ).
tcf(c_52944,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_52008,c_206]) ).
tcf(c_52968,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_51117,c_223]) ).
tcf(c_52969,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_51117,c_212]) ).
tcf(c_52970,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_51117,c_206]) ).
tcf(c_52983,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_52968,c_50563]) ).
tcf(c_52993,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_47400,c_67]) ).
tcf(c_52996,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_47400,c_167]) ).
tcf(c_52997,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_47400,c_231]) ).
tcf(c_52998,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59))
| ( cons(sK57,app(sK58,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_47400,c_230]) ).
tcf(c_52999,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_47400,c_386]) ).
tcf(c_53002,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_47400,c_225]) ).
tcf(c_53003,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_47400,c_226]) ).
tcf(c_53004,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_47400,c_176]) ).
tcf(c_53005,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_47400,c_165]) ).
tcf(c_53006,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_47400,c_193]) ).
tcf(c_53007,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_47400,c_186]) ).
tcf(c_53008,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_47400,c_166]) ).
tcf(c_53009,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_47400,c_42707]) ).
tcf(c_53010,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_47400,c_25424]) ).
tcf(c_53011,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_47400,c_25408]) ).
tcf(c_53012,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_52999,c_9003]) ).
tcf(c_53015,plain,
( ( nil = sK59 )
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59))
| ( cons(sK57,app(sK58,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52998,c_9003]) ).
tcf(c_53019,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_53008,c_9003]) ).
tcf(c_53034,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_53006,c_9003]) ).
tcf(c_53040,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_52997,c_9003]) ).
tcf(c_53044,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_53005,c_9003]) ).
tcf(c_53049,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_53004,c_9003]) ).
tcf(c_53054,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_52996,c_9003]) ).
tcf(c_53060,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_53003,c_9003]) ).
tcf(c_53065,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_53002,c_9003]) ).
tcf(c_53070,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_52993,c_47400]) ).
tcf(c_53071,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_53070,c_9003]) ).
tcf(c_53116,plain,
~ rearsegP(sK59,cons(sK57,app(sK58,sK59))),
inference(global_subsumption_just,[status(thm)],[c_47401,c_43968,c_43967,c_44823,c_45936,c_45943]) ).
tcf(c_53118,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_47421,c_67]) ).
tcf(c_53121,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_47421,c_167]) ).
tcf(c_53122,plain,
( ( sK12(cons(sK57,app(sK58,sK56)),sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(sK12(cons(sK57,app(sK58,sK56)),sK56))
| ( cons(sK57,app(sK58,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_47421,c_231]) ).
tcf(c_53123,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK12(cons(sK57,app(sK58,sK56)),sK56))
| ( cons(sK57,app(sK58,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_47421,c_230]) ).
tcf(c_53124,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_47421,c_386]) ).
tcf(c_53127,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_47421,c_225]) ).
tcf(c_53128,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_47421,c_226]) ).
tcf(c_53129,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_47421,c_176]) ).
tcf(c_53130,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_47421,c_165]) ).
tcf(c_53131,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_47421,c_193]) ).
tcf(c_53132,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_47421,c_186]) ).
tcf(c_53133,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_47421,c_166]) ).
tcf(c_53134,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_47421,c_39002]) ).
tcf(c_53135,plain,
( ( sK12(cons(sK57,app(sK58,sK56)),sK56) = nil )
| ~ ssList(sK12(cons(sK57,app(sK58,sK56)),sK56))
| ( cons(sK57,app(sK58,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_47421,c_25412]) ).
tcf(c_53136,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_53124,c_9004]) ).
tcf(c_53139,plain,
( ( nil = sK56 )
| ~ ssList(sK12(cons(sK57,app(sK58,sK56)),sK56))
| ( cons(sK57,app(sK58,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53123,c_9004]) ).
tcf(c_53143,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK56)),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53133,c_9004]) ).
tcf(c_53155,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK58,sK56)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK56)),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53131,c_9004]) ).
tcf(c_53161,plain,
( ( sK12(cons(sK57,app(sK58,sK56)),sK56) = nil )
| ~ ssList(sK12(cons(sK57,app(sK58,sK56)),sK56))
| ( cons(sK57,app(sK58,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53122,c_9004]) ).
tcf(c_53165,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_53130,c_9004]) ).
tcf(c_53170,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_53129,c_9004]) ).
tcf(c_53175,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_53121,c_9004]) ).
tcf(c_53181,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_53128,c_9004]) ).
tcf(c_53186,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_53127,c_9004]) ).
tcf(c_53191,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_53118,c_47421]) ).
tcf(c_53192,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_53191,c_9004]) ).
tcf(c_53205,plain,
~ rearsegP(sK56,cons(sK57,app(sK58,sK56))),
inference(global_subsumption_just,[status(thm)],[c_47422,c_39267,c_39266,c_40340,c_45936,c_45943]) ).
tcf(c_53207,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_47437,c_67]) ).
tcf(c_53210,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_47437,c_167]) ).
tcf(c_53213,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_47437,c_386]) ).
tcf(c_53216,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_47437,c_225]) ).
tcf(c_53217,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_47437,c_226]) ).
tcf(c_53218,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_47437,c_176]) ).
tcf(c_53219,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_47437,c_165]) ).
tcf(c_53220,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_47437,c_193]) ).
tcf(c_53221,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_47437,c_186]) ).
tcf(c_53222,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_47437,c_166]) ).
tcf(c_53223,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_47437,c_45969]) ).
tcf(c_53225,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_53213,c_9000]) ).
tcf(c_53234,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_53219,c_9000]) ).
tcf(c_53239,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_53218,c_9000]) ).
tcf(c_53244,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_53210,c_9000]) ).
tcf(c_53250,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_53217,c_9000]) ).
tcf(c_53255,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_53216,c_9000]) ).
tcf(c_53260,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_53207,c_47437]) ).
tcf(c_53261,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_53260,c_9000]) ).
tcf(c_53271,plain,
~ rearsegP(sK58,cons(sK57,app(sK58,sK58))),
inference(global_subsumption_just,[status(thm)],[c_47438,c_47114,c_47438]) ).
tcf(c_53277,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_48142,c_173]) ).
tcf(c_53278,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_48142,c_174]) ).
tcf(c_53279,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_48142,c_63]) ).
tcf(c_53281,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_53279,c_45936]) ).
tcf(c_53284,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_53278,c_45936]) ).
tcf(c_53296,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_38041,c_39006]) ).
tcf(c_53297,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_41652,c_39006]) ).
tcf(c_53298,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_45245,c_39006]) ).
tcf(c_53299,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_39006,c_70]) ).
tcf(c_53300,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_39006,c_190]) ).
tcf(c_53301,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_39006,c_191]) ).
tcf(c_53302,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53298,c_9000]) ).
tcf(c_53306,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53297,c_9003]) ).
tcf(c_53310,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53296,c_9004]) ).
tcf(c_53376,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_28664,c_184]) ).
tcf(c_53377,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_28664,c_66]) ).
tcf(c_53378,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_28664,c_19238]) ).
tcf(c_53381,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_53377,c_12859]) ).
tcf(c_53384,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_53376,c_12859]) ).
tcf(c_53397,plain,
rearsegP(nil,sK11(nil,nil)),
inference(global_subsumption_just,[status(thm)],[c_30540,c_141,c_181,c_330,c_30540]) ).
tcf(c_53400,plain,
( ( sK11(nil,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),nil) ),
inference(superposition,[status(thm)],[c_53397,c_184]) ).
tcf(c_53401,plain,
( ( app(sK12(nil,sK11(nil,nil)),sK11(nil,nil)) = nil )
| ~ ssList(nil)
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_53397,c_66]) ).
tcf(c_53402,plain,
( rearsegP(iPr_def_10,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_53397,c_21345]) ).
tcf(c_53403,plain,
( rearsegP(iPr_def_11,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_53397,c_19222]) ).
tcf(c_53404,plain,
( rearsegP(iPr_def_12,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_53397,c_19218]) ).
tcf(c_53405,plain,
( rearsegP(sK56,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_53397,c_19234]) ).
tcf(c_53406,plain,
( rearsegP(sK59,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_53397,c_19230]) ).
tcf(c_53407,plain,
( rearsegP(sK58,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_53397,c_19226]) ).
tcf(c_53421,plain,
( ( app(sK12(nil,sK11(nil,nil)),sK11(nil,nil)) = nil )
| ~ ssList(sK11(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53401,c_141]) ).
tcf(c_53429,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_30597,c_183]) ).
tcf(c_53430,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_30597,c_184]) ).
tcf(c_53431,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_30597,c_66]) ).
tcf(c_53432,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_53431,c_12995]) ).
tcf(c_53435,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_53430,c_12995]) ).
tcf(c_53442,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_52015,c_223]) ).
tcf(c_53443,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_52015,c_212]) ).
tcf(c_53444,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_52015,c_206]) ).
tcf(c_53470,plain,
( segmentP(iPr_def_10,sK58)
| ~ ssList(iPr_def_10)
| ~ ssList(sK58)
| ~ frontsegP(iPr_def_10,sK58) ),
inference(superposition,[status(thm)],[c_62,c_52539]) ).
tcf(c_53471,plain,
segmentP(iPr_def_10,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_53470,c_18402,c_9000,c_52417]) ).
tcf(c_53472,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_53471,c_70]) ).
tcf(c_53473,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_53471,c_190]) ).
tcf(c_53474,plain,
( ( sK58 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK58)
| ~ segmentP(sK58,iPr_def_10) ),
inference(superposition,[status(thm)],[c_53471,c_191]) ).
tcf(c_53475,plain,
( ( sK58 = iPr_def_10 )
| ~ segmentP(sK58,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53474,c_18402,c_9000]) ).
tcf(c_53478,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53473,c_18402,c_9000]) ).
tcf(c_53482,plain,
app(app(sK13(iPr_def_10,sK58),sK58),sK14(iPr_def_10,sK58)) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_53472,c_18402,c_9000]) ).
tcf(c_53569,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_53482,c_67]) ).
tcf(c_53572,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_53482,c_167]) ).
tcf(c_53575,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_53482,c_386]) ).
tcf(c_53576,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_53482,c_383]) ).
tcf(c_53578,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_53482,c_225]) ).
tcf(c_53580,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_53482,c_226]) ).
tcf(c_53581,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_53482,c_176]) ).
tcf(c_53582,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_53482,c_165]) ).
tcf(c_53583,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_53482,c_193]) ).
tcf(c_53584,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_53482,c_186]) ).
tcf(c_53585,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_53482,c_166]) ).
tcf(c_53586,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_53482,c_193]) ).
tcf(c_53636,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_53569,c_53482]) ).
tcf(c_53748,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_53302,c_70]) ).
tcf(c_53749,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_53302,c_190]) ).
tcf(c_53750,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_53302,c_191]) ).
tcf(c_53751,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_53749,c_45632]) ).
tcf(c_53757,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_53750,c_45632]) ).
tcf(c_53762,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_53748,c_45632]) ).
tcf(c_53775,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_53306,c_70]) ).
tcf(c_53776,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_53306,c_190]) ).
tcf(c_53777,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_53306,c_191]) ).
tcf(c_53778,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_53776,c_41916]) ).
tcf(c_53784,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_53777,c_41916]) ).
tcf(c_53789,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_53775,c_41916]) ).
tcf(c_53802,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_53310,c_70]) ).
tcf(c_53803,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_53310,c_190]) ).
tcf(c_53804,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_53310,c_191]) ).
tcf(c_53805,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_53803,c_39016]) ).
tcf(c_53811,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_53804,c_39016]) ).
tcf(c_53816,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_53802,c_39016]) ).
tcf(c_53829,plain,
( segmentP(cons(sK57,app(sK56,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(app(cons(sK57,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_38041,c_39012]) ).
tcf(c_53830,plain,
( segmentP(cons(sK57,app(sK56,sK59)),sK56)
| ~ ssList(sK59)
| ~ ssList(app(cons(sK57,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_41652,c_39012]) ).
tcf(c_53831,plain,
( segmentP(cons(sK57,app(sK56,sK58)),sK56)
| ~ ssList(sK58)
| ~ ssList(app(cons(sK57,sK56),sK58)) ),
inference(superposition,[status(thm)],[c_45245,c_39012]) ).
tcf(c_53832,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_39012,c_70]) ).
tcf(c_53833,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_39012,c_190]) ).
tcf(c_53834,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_39012,c_191]) ).
tcf(c_53835,plain,
( segmentP(cons(sK57,app(sK56,sK58)),sK56)
| ~ ssList(sK58)
| ~ ssList(cons(sK57,app(sK56,sK58))) ),
inference(light_normalisation,[status(thm)],[c_53831,c_45245]) ).
tcf(c_53836,plain,
segmentP(cons(sK57,app(sK56,sK58)),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_53835,c_9000,c_45632]) ).
tcf(c_53837,plain,
( segmentP(cons(sK57,app(sK56,sK59)),sK56)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK56,sK59))) ),
inference(light_normalisation,[status(thm)],[c_53830,c_41652]) ).
tcf(c_53838,plain,
segmentP(cons(sK57,app(sK56,sK59)),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_53837,c_9003,c_41916]) ).
tcf(c_53839,plain,
( segmentP(cons(sK57,app(sK56,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK56,sK56))) ),
inference(light_normalisation,[status(thm)],[c_53829,c_38041]) ).
tcf(c_53840,plain,
segmentP(cons(sK57,app(sK56,sK56)),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_53839,c_9004,c_39016]) ).
tcf(c_53841,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_53833,c_9004]) ).
tcf(c_53847,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_53834,c_9004]) ).
tcf(c_53852,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_53832,c_9004]) ).
tcf(c_53859,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_53836,c_70]) ).
tcf(c_53860,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_53836,c_190]) ).
tcf(c_53861,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_53836,c_191]) ).
tcf(c_53863,plain,
( ( cons(sK57,app(sK56,sK58)) = sK56 )
| ~ segmentP(sK56,cons(sK57,app(sK56,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53861,c_9004,c_45632]) ).
tcf(c_53866,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_53859,c_9004,c_45632]) ).
tcf(c_53899,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_53838,c_70]) ).
tcf(c_53900,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_53838,c_190]) ).
tcf(c_53901,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_53838,c_191]) ).
tcf(c_53903,plain,
( ( cons(sK57,app(sK56,sK59)) = sK56 )
| ~ segmentP(sK56,cons(sK57,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53901,c_9004,c_41916]) ).
tcf(c_53906,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_53899,c_9004,c_41916]) ).
tcf(c_53936,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_31908,c_183]) ).
tcf(c_53937,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_31908,c_184]) ).
tcf(c_53938,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_31908,c_66]) ).
tcf(c_53939,plain,
( rearsegP(iPr_def_12,sK11(iPr_def_11,nil))
| ~ ssList(sK11(iPr_def_11,nil)) ),
inference(superposition,[status(thm)],[c_31908,c_19238]) ).
tcf(c_53942,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_53938,c_12859]) ).
tcf(c_53945,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_53937,c_12859]) ).
tcf(c_53950,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_53840,c_70]) ).
tcf(c_53951,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_53840,c_190]) ).
tcf(c_53952,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_53840,c_191]) ).
tcf(c_53954,plain,
( ( cons(sK57,app(sK56,sK56)) = sK56 )
| ~ segmentP(sK56,cons(sK57,app(sK56,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53952,c_9004,c_39016]) ).
tcf(c_53957,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_53950,c_9004,c_39016]) ).
tcf(c_53962,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_51111,c_223]) ).
tcf(c_53963,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_51111,c_212]) ).
tcf(c_53964,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_51111,c_206]) ).
tcf(c_53977,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_53962,c_50556]) ).
tcf(c_53995,plain,
~ segmentP(sK56,cons(sK57,app(sK56,sK56))),
inference(global_subsumption_just,[status(thm)],[c_53954,c_38232,c_38969,c_38976,c_53954]) ).
tcf(c_54001,plain,
( ( app(sK56,sK11(app(sK56,sK56),sK56)) = app(sK56,sK56) )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_153,c_40366]) ).
tcf(c_54002,plain,
app(sK56,sK11(app(sK56,sK56),sK56)) = app(sK56,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_54001,c_9004]) ).
tcf(c_54003,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_54002,c_67]) ).
tcf(c_54006,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_54002,c_167]) ).
tcf(c_54007,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ( app(sK56,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_54002,c_231]) ).
tcf(c_54008,plain,
( ( sK11(app(sK56,sK56),sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ( app(sK56,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_54002,c_230]) ).
tcf(c_54009,plain,
( frontsegP(app(sK56,sK56),sK56)
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_54002,c_386]) ).
tcf(c_54010,plain,
( rearsegP(app(sK56,sK56),sK11(app(sK56,sK56),sK56))
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_54002,c_383]) ).
tcf(c_54011,plain,
( ssList(app(sK56,sK56))
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_54002,c_153]) ).
tcf(c_54012,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_54002,c_225]) ).
tcf(c_54013,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_54002,c_226]) ).
tcf(c_54014,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_54002,c_176]) ).
tcf(c_54015,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_54002,c_165]) ).
tcf(c_54016,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_54002,c_193]) ).
tcf(c_54017,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_54002,c_186]) ).
tcf(c_54018,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_54002,c_166]) ).
tcf(c_54019,plain,
( ( sK11(app(sK56,sK56),sK56) = nil )
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ( app(sK56,sK56) != sK56 ) ),
inference(superposition,[status(thm)],[c_54002,c_26200]) ).
tcf(c_54020,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_54002,c_26465]) ).
tcf(c_54021,plain,
! [X0: $i] :
( segmentP(app(sK56,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_54002,c_27046]) ).
tcf(c_54022,plain,
! [X0: $i] :
( segmentP(app(sK56,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_54002,c_27031]) ).
tcf(c_54023,plain,
( ssList(app(sK56,sK56))
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54011,c_9004]) ).
tcf(c_54026,plain,
( frontsegP(app(sK56,sK56),sK56)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54009,c_9004]) ).
tcf(c_54037,plain,
( rearsegP(app(sK56,sK56),sK11(app(sK56,sK56),sK56))
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54010,c_9004]) ).
tcf(c_54040,plain,
( segmentP(app(sK56,sK56),sK56)
| ~ ssList(app(sK56,sK56))
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(light_normalisation,[status(thm)],[c_54020,c_54002]) ).
tcf(c_54044,plain,
( ( nil = sK56 )
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ( app(sK56,sK56) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54007,c_9004]) ).
tcf(c_54051,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_54015,c_9004]) ).
tcf(c_54056,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_54014,c_9004]) ).
tcf(c_54061,plain,
( ( sK11(app(sK56,sK56),sK56) = nil )
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ( app(sK56,sK56) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54008,c_9004]) ).
tcf(c_54065,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_54018,c_9004]) ).
tcf(c_54070,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_54017,c_9004]) ).
tcf(c_54075,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_54006,c_9004]) ).
tcf(c_54081,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_54013,c_9004]) ).
tcf(c_54086,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_54012,c_9004]) ).
tcf(c_54091,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_54016,c_9004]) ).
tcf(c_54097,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_54003,c_54002]) ).
tcf(c_54098,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_54097,c_9004]) ).
tcf(c_54247,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_54037,c_183]) ).
tcf(c_54248,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_54037,c_184]) ).
tcf(c_54249,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_54037,c_66]) ).
tcf(c_54268,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_32128,c_174]) ).
tcf(c_54269,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_32128,c_63]) ).
tcf(c_54270,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_32128,c_21096]) ).
tcf(c_54273,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_54269,c_12995]) ).
tcf(c_54276,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_54268,c_12995]) ).
tcf(c_54307,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_32179,c_174]) ).
tcf(c_54308,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_32179,c_63]) ).
tcf(c_54309,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_54308,c_12859]) ).
tcf(c_54312,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_54307,c_12859]) ).
tcf(c_54316,plain,
frontsegP(nil,sK12(nil,nil)),
inference(global_subsumption_just,[status(thm)],[c_32234,c_141,c_188,c_329,c_32234]) ).
tcf(c_54319,plain,
( ( sK12(nil,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK12(nil,nil))
| ~ frontsegP(sK12(nil,nil),nil) ),
inference(superposition,[status(thm)],[c_54316,c_174]) ).
tcf(c_54320,plain,
( ( app(sK12(nil,nil),sK11(nil,sK12(nil,nil))) = nil )
| ~ ssList(nil)
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_54316,c_63]) ).
tcf(c_54321,plain,
( frontsegP(iPr_def_10,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_54316,c_21100]) ).
tcf(c_54322,plain,
( frontsegP(iPr_def_11,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_54316,c_18949]) ).
tcf(c_54323,plain,
( frontsegP(iPr_def_12,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_54316,c_18933]) ).
tcf(c_54324,plain,
( frontsegP(sK56,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_54316,c_18945]) ).
tcf(c_54325,plain,
( frontsegP(sK59,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_54316,c_18941]) ).
tcf(c_54326,plain,
( frontsegP(sK58,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_54316,c_18937]) ).
tcf(c_54340,plain,
( ( app(sK12(nil,nil),sK11(nil,sK12(nil,nil))) = nil )
| ~ ssList(sK12(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54320,c_141]) ).
tcf(c_54391,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_32674,c_173]) ).
tcf(c_54392,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_32674,c_174]) ).
tcf(c_54393,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_32674,c_63]) ).
tcf(c_54394,plain,
( frontsegP(iPr_def_10,sK12(iPr_def_12,nil))
| ~ ssList(sK12(iPr_def_12,nil)) ),
inference(superposition,[status(thm)],[c_32674,c_21096]) ).
tcf(c_54397,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_54393,c_12995]) ).
tcf(c_54400,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_54392,c_12995]) ).
tcf(c_54407,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_51112,c_223]) ).
tcf(c_54408,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_51112,c_212]) ).
tcf(c_54409,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_51112,c_206]) ).
tcf(c_54422,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_54407,c_50557]) ).
tcf(c_54434,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_51113,c_223]) ).
tcf(c_54435,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_51113,c_212]) ).
tcf(c_54436,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_51113,c_206]) ).
tcf(c_54449,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_54434,c_50558]) ).
tcf(c_54461,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_52009,c_223]) ).
tcf(c_54462,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_52009,c_212]) ).
tcf(c_54463,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_52009,c_206]) ).
tcf(c_54487,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_52010,c_223]) ).
tcf(c_54488,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_52010,c_212]) ).
tcf(c_54489,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_52010,c_206]) ).
tcf(c_54538,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_40373,c_173]) ).
tcf(c_54539,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_40373,c_174]) ).
tcf(c_54540,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_40373,c_63]) ).
tcf(c_54567,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_38042,c_42711]) ).
tcf(c_54568,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_41653,c_42711]) ).
tcf(c_54569,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK59,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_45246,c_42711]) ).
tcf(c_54570,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_42711,c_70]) ).
tcf(c_54571,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_42711,c_190]) ).
tcf(c_54572,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_42711,c_191]) ).
tcf(c_54573,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK59,sK58)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54569,c_9000]) ).
tcf(c_54577,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54568,c_9003]) ).
tcf(c_54581,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54567,c_9004]) ).
tcf(c_54633,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_54573,c_70]) ).
tcf(c_54634,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_54573,c_190]) ).
tcf(c_54635,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_54573,c_191]) ).
tcf(c_54636,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_54634,c_46645]) ).
tcf(c_54642,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_54635,c_46645]) ).
tcf(c_54647,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_54633,c_46645]) ).
tcf(c_54673,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_54577,c_70]) ).
tcf(c_54674,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_54577,c_190]) ).
tcf(c_54675,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_54577,c_191]) ).
tcf(c_54676,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_54674,c_43373]) ).
tcf(c_54682,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_54675,c_43373]) ).
tcf(c_54687,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_54673,c_43373]) ).
tcf(c_54700,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_54581,c_70]) ).
tcf(c_54701,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_54581,c_190]) ).
tcf(c_54702,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_54581,c_191]) ).
tcf(c_54703,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_54701,c_42723]) ).
tcf(c_54709,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_54702,c_42723]) ).
tcf(c_54714,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_54700,c_42723]) ).
tcf(c_54740,plain,
( segmentP(cons(sK57,app(sK59,sK56)),sK59)
| ~ ssList(sK56)
| ~ ssList(app(cons(sK57,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_38042,c_42717]) ).
tcf(c_54741,plain,
( segmentP(cons(sK57,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(app(cons(sK57,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_41653,c_42717]) ).
tcf(c_54742,plain,
( segmentP(cons(sK57,app(sK59,sK58)),sK59)
| ~ ssList(sK58)
| ~ ssList(app(cons(sK57,sK59),sK58)) ),
inference(superposition,[status(thm)],[c_45246,c_42717]) ).
tcf(c_54743,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_42717,c_70]) ).
tcf(c_54744,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_42717,c_190]) ).
tcf(c_54745,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_42717,c_191]) ).
tcf(c_54746,plain,
( segmentP(cons(sK57,app(sK59,sK58)),sK59)
| ~ ssList(sK58)
| ~ ssList(cons(sK57,app(sK59,sK58))) ),
inference(light_normalisation,[status(thm)],[c_54742,c_45246]) ).
tcf(c_54747,plain,
segmentP(cons(sK57,app(sK59,sK58)),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_54746,c_9000,c_46645]) ).
tcf(c_54748,plain,
( segmentP(cons(sK57,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK59,sK59))) ),
inference(light_normalisation,[status(thm)],[c_54741,c_41653]) ).
tcf(c_54749,plain,
segmentP(cons(sK57,app(sK59,sK59)),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_54748,c_9003,c_43373]) ).
tcf(c_54750,plain,
( segmentP(cons(sK57,app(sK59,sK56)),sK59)
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK59,sK56))) ),
inference(light_normalisation,[status(thm)],[c_54740,c_38042]) ).
tcf(c_54751,plain,
segmentP(cons(sK57,app(sK59,sK56)),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_54750,c_9004,c_42723]) ).
tcf(c_54752,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_54744,c_9003]) ).
tcf(c_54758,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_54745,c_9003]) ).
tcf(c_54763,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_54743,c_9003]) ).
tcf(c_54844,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_54747,c_70]) ).
tcf(c_54845,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_54747,c_190]) ).
tcf(c_54846,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_54747,c_191]) ).
tcf(c_54848,plain,
( ( cons(sK57,app(sK59,sK58)) = sK59 )
| ~ segmentP(sK59,cons(sK57,app(sK59,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54846,c_9003,c_46645]) ).
tcf(c_54851,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_54844,c_9003,c_46645]) ).
tcf(c_54856,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_32769,c_173]) ).
tcf(c_54857,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_32769,c_174]) ).
tcf(c_54858,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_32769,c_63]) ).
tcf(c_54859,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_54858,c_12859]) ).
tcf(c_54862,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_54857,c_12859]) ).
tcf(c_54871,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_32838,c_173]) ).
tcf(c_54872,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_32838,c_174]) ).
tcf(c_54873,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_32838,c_63]) ).
tcf(c_54874,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_32838,c_21096]) ).
tcf(c_54877,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_54873,c_12995]) ).
tcf(c_54880,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_54872,c_12995]) ).
tcf(c_54898,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_32903,c_183]) ).
tcf(c_54899,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_32903,c_184]) ).
tcf(c_54900,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_32903,c_66]) ).
tcf(c_54901,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_54900,c_18402]) ).
tcf(c_54904,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_54899,c_18402]) ).
tcf(c_54950,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_33099,c_184]) ).
tcf(c_54951,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_33099,c_66]) ).
tcf(c_54952,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_54951,c_18402]) ).
tcf(c_54955,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_54950,c_18402]) ).
tcf(c_54959,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_54749,c_70]) ).
tcf(c_54960,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_54749,c_190]) ).
tcf(c_54961,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_54749,c_191]) ).
tcf(c_54963,plain,
~ segmentP(sK59,cons(sK57,app(sK59,sK59))),
inference(forward_subsumption_resolution,[status(thm)],[c_54961,c_43376,c_9003,c_43373]) ).
tcf(c_54964,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_54959,c_9003,c_43373]) ).
tcf(c_54992,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_54751,c_70]) ).
tcf(c_54993,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_54751,c_190]) ).
tcf(c_54994,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_54751,c_191]) ).
tcf(c_54996,plain,
( ( cons(sK57,app(sK59,sK56)) = sK59 )
| ~ segmentP(sK59,cons(sK57,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54994,c_9003,c_42723]) ).
tcf(c_54999,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_54992,c_9003,c_42723]) ).
tcf(c_55002,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_52011,c_223]) ).
tcf(c_55003,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_52011,c_212]) ).
tcf(c_55004,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_52011,c_206]) ).
tcf(c_55054,plain,
( ( app(sK56,sK11(app(sK56,sK59),sK56)) = app(sK56,sK59) )
| ~ ssList(sK59)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_153,c_43342]) ).
tcf(c_55055,plain,
app(sK56,sK11(app(sK56,sK59),sK56)) = app(sK56,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_55054,c_9003,c_9004]) ).
tcf(c_55056,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_55055,c_67]) ).
tcf(c_55059,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_55055,c_167]) ).
tcf(c_55060,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ( app(sK56,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_55055,c_231]) ).
tcf(c_55061,plain,
( ( sK11(app(sK56,sK59),sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ( app(sK56,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_55055,c_230]) ).
tcf(c_55062,plain,
( frontsegP(app(sK56,sK59),sK56)
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_55055,c_386]) ).
tcf(c_55063,plain,
( rearsegP(app(sK56,sK59),sK11(app(sK56,sK59),sK56))
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_55055,c_383]) ).
tcf(c_55064,plain,
( ssList(app(sK56,sK59))
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_55055,c_153]) ).
tcf(c_55065,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_55055,c_225]) ).
tcf(c_55066,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_55055,c_226]) ).
tcf(c_55067,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_55055,c_176]) ).
tcf(c_55068,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_55055,c_165]) ).
tcf(c_55069,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_55055,c_193]) ).
tcf(c_55070,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_55055,c_186]) ).
tcf(c_55071,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_55055,c_166]) ).
tcf(c_55072,plain,
( ( sK11(app(sK56,sK59),sK56) = nil )
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ( app(sK56,sK59) != sK56 ) ),
inference(superposition,[status(thm)],[c_55055,c_26200]) ).
tcf(c_55073,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_55055,c_26465]) ).
tcf(c_55074,plain,
! [X0: $i] :
( segmentP(app(sK56,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_55055,c_27046]) ).
tcf(c_55075,plain,
! [X0: $i] :
( segmentP(app(sK56,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_55055,c_27031]) ).
tcf(c_55076,plain,
( ssList(app(sK56,sK59))
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55064,c_9004]) ).
tcf(c_55079,plain,
( frontsegP(app(sK56,sK59),sK56)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55062,c_9004]) ).
tcf(c_55090,plain,
( rearsegP(app(sK56,sK59),sK11(app(sK56,sK59),sK56))
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55063,c_9004]) ).
tcf(c_55093,plain,
( segmentP(app(sK56,sK59),sK56)
| ~ ssList(app(sK56,sK59))
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(light_normalisation,[status(thm)],[c_55073,c_55055]) ).
tcf(c_55097,plain,
( ( nil = sK56 )
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ( app(sK56,sK59) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55060,c_9004]) ).
tcf(c_55104,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_55068,c_9004]) ).
tcf(c_55109,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_55067,c_9004]) ).
tcf(c_55114,plain,
( ( sK11(app(sK56,sK59),sK56) = nil )
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ( app(sK56,sK59) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55061,c_9004]) ).
tcf(c_55118,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_55071,c_9004]) ).
tcf(c_55123,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_55070,c_9004]) ).
tcf(c_55128,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_55059,c_9004]) ).
tcf(c_55134,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_55066,c_9004]) ).
tcf(c_55139,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_55065,c_9004]) ).
tcf(c_55144,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_55069,c_9004]) ).
tcf(c_55150,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_55056,c_55055]) ).
tcf(c_55151,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_55150,c_9004]) ).
tcf(c_55350,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_55090,c_183]) ).
tcf(c_55351,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_55090,c_184]) ).
tcf(c_55352,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_55090,c_66]) ).
tcf(c_55378,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_16050,c_223]) ).
tcf(c_55379,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_16050,c_212]) ).
tcf(c_55380,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_16050,c_206]) ).
tcf(c_55409,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_33208,c_183]) ).
tcf(c_55410,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_33208,c_184]) ).
tcf(c_55411,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_33208,c_66]) ).
tcf(c_55412,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_55411,c_18402]) ).
tcf(c_55415,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_55410,c_18402]) ).
tcf(c_55457,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_33427,c_174]) ).
tcf(c_55458,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_33427,c_63]) ).
tcf(c_55459,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_55458,c_18402]) ).
tcf(c_55462,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_55457,c_18402]) ).
tcf(c_55470,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_33497,c_173]) ).
tcf(c_55471,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_33497,c_174]) ).
tcf(c_55472,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_33497,c_63]) ).
tcf(c_55473,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_55472,c_18402]) ).
tcf(c_55476,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_55471,c_18402]) ).
tcf(c_55481,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_33640,c_67]) ).
tcf(c_55484,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_33640,c_167]) ).
tcf(c_55485,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_33640,c_231]) ).
tcf(c_55487,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_33640,c_386]) ).
tcf(c_55490,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_33640,c_225]) ).
tcf(c_55491,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_33640,c_226]) ).
tcf(c_55492,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_33640,c_176]) ).
tcf(c_55493,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_33640,c_165]) ).
tcf(c_55494,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_33640,c_193]) ).
tcf(c_55495,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_33640,c_186]) ).
tcf(c_55497,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_33640,c_25400]) ).
tcf(c_55498,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_33640,c_25396]) ).
tcf(c_55499,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_33640,c_25392]) ).
tcf(c_55500,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_55487,c_141]) ).
tcf(c_55513,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_55485,c_141]) ).
tcf(c_55517,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_55493,c_141]) ).
tcf(c_55522,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_55492,c_141]) ).
tcf(c_55528,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_55484,c_141]) ).
tcf(c_55534,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_55491,c_141]) ).
tcf(c_55539,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_55490,c_141]) ).
tcf(c_55544,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_55481,c_33640]) ).
tcf(c_55545,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_55544,c_141]) ).
tcf(c_55557,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_20364,c_173]) ).
tcf(c_55558,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_20364,c_174]) ).
tcf(c_55559,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_20364,c_63]) ).
tcf(c_55561,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_55559,c_12995]) ).
tcf(c_55564,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_55558,c_12995]) ).
tcf(c_55568,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_55557,c_12995]) ).
tcf(c_55604,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_21429,c_183]) ).
tcf(c_55605,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_21429,c_184]) ).
tcf(c_55606,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_21429,c_66]) ).
tcf(c_55607,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_55606,c_18402]) ).
tcf(c_55610,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_55605,c_18402]) ).
tcf(c_55614,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_55604,c_18402]) ).
tcf(c_55660,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_22464,c_223]) ).
tcf(c_55661,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_22464,c_212]) ).
tcf(c_55662,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_22464,c_206]) ).
tcf(c_55663,plain,
( ( nil = sK58 )
| ( cons(hd(iPr_def_12),tl(sK58)) = sK58 ) ),
inference(superposition,[status(thm)],[c_22464,c_16392]) ).
tcf(c_55667,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_55662,c_9000]) ).
tcf(c_55673,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_55661,c_9000]) ).
tcf(c_55679,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_55660,c_9000]) ).
tcf(c_55694,plain,
( segmentP(sK58,nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_192,c_32367]) ).
tcf(c_55697,plain,
segmentP(sK58,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_55694,c_141]) ).
tcf(c_55706,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_43349,c_173]) ).
tcf(c_55707,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_43349,c_174]) ).
tcf(c_55708,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_43349,c_63]) ).
tcf(c_55743,plain,
( ( app(sK59,sK11(app(sK59,sK59),sK59)) = app(sK59,sK59) )
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_153,c_43881]) ).
tcf(c_55744,plain,
app(sK59,sK11(app(sK59,sK59),sK59)) = app(sK59,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_55743,c_9003]) ).
tcf(c_55811,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_55744,c_67]) ).
tcf(c_55814,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_55744,c_167]) ).
tcf(c_55815,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ( app(sK59,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_55744,c_231]) ).
tcf(c_55816,plain,
( ( sK11(app(sK59,sK59),sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ( app(sK59,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_55744,c_230]) ).
tcf(c_55817,plain,
( frontsegP(app(sK59,sK59),sK59)
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_55744,c_386]) ).
tcf(c_55818,plain,
( rearsegP(app(sK59,sK59),sK11(app(sK59,sK59),sK59))
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_55744,c_383]) ).
tcf(c_55819,plain,
( ssList(app(sK59,sK59))
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_55744,c_153]) ).
tcf(c_55820,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_55744,c_225]) ).
tcf(c_55821,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_55744,c_226]) ).
tcf(c_55822,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_55744,c_176]) ).
tcf(c_55823,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_55744,c_165]) ).
tcf(c_55824,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_55744,c_193]) ).
tcf(c_55825,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_55744,c_186]) ).
tcf(c_55826,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_55744,c_166]) ).
tcf(c_55827,plain,
( ( sK11(app(sK59,sK59),sK59) = nil )
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ( app(sK59,sK59) != sK59 ) ),
inference(superposition,[status(thm)],[c_55744,c_26196]) ).
tcf(c_55828,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_55744,c_26460]) ).
tcf(c_55829,plain,
! [X0: $i] :
( segmentP(app(sK59,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_55744,c_27041]) ).
tcf(c_55830,plain,
! [X0: $i] :
( segmentP(app(sK59,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_55744,c_27026]) ).
tcf(c_55831,plain,
( ssList(app(sK59,sK59))
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55819,c_9003]) ).
tcf(c_55834,plain,
( frontsegP(app(sK59,sK59),sK59)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55817,c_9003]) ).
tcf(c_55845,plain,
( rearsegP(app(sK59,sK59),sK11(app(sK59,sK59),sK59))
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55818,c_9003]) ).
tcf(c_55848,plain,
( segmentP(app(sK59,sK59),sK59)
| ~ ssList(app(sK59,sK59))
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(light_normalisation,[status(thm)],[c_55828,c_55744]) ).
tcf(c_55852,plain,
( ( nil = sK59 )
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ( app(sK59,sK59) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55815,c_9003]) ).
tcf(c_55859,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_55823,c_9003]) ).
tcf(c_55864,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_55822,c_9003]) ).
tcf(c_55869,plain,
( ( sK11(app(sK59,sK59),sK59) = nil )
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ( app(sK59,sK59) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55816,c_9003]) ).
tcf(c_55873,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_55826,c_9003]) ).
tcf(c_55878,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_55825,c_9003]) ).
tcf(c_55883,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_55814,c_9003]) ).
tcf(c_55889,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_55821,c_9003]) ).
tcf(c_55894,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_55820,c_9003]) ).
tcf(c_55899,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_55824,c_9003]) ).
tcf(c_55905,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_55811,c_55744]) ).
tcf(c_55906,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_55905,c_9003]) ).
tcf(c_55985,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_55845,c_183]) ).
tcf(c_55986,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_55845,c_184]) ).
tcf(c_55987,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_55845,c_66]) ).
tcf(c_56015,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_43888,c_173]) ).
tcf(c_56016,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_43888,c_174]) ).
tcf(c_56017,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_43888,c_63]) ).
tcf(c_56061,plain,
( ( app(app(sK13(sK58,nil),nil),sK14(sK58,nil)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_55697,c_70]) ).
tcf(c_56062,plain,
! [X0: $i] :
( segmentP(sK58,X0)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_55697,c_190]) ).
tcf(c_56063,plain,
( ( nil = sK58 )
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ segmentP(nil,sK58) ),
inference(superposition,[status(thm)],[c_55697,c_191]) ).
tcf(c_56066,plain,
( ( nil = sK58 )
| ~ segmentP(nil,sK58) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56063,c_9000,c_141]) ).
tcf(c_56070,plain,
app(app(sK13(sK58,nil),nil),sK14(sK58,nil)) = sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_56061,c_9000,c_141]) ).
tcf(c_56079,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_33938,c_67]) ).
tcf(c_56082,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_33938,c_167]) ).
tcf(c_56084,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_33938,c_230]) ).
tcf(c_56086,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_33938,c_383]) ).
tcf(c_56088,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_33938,c_225]) ).
tcf(c_56089,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_33938,c_26212]) ).
tcf(c_56090,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_33938,c_26208]) ).
tcf(c_56091,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_33938,c_26204]) ).
tcf(c_56092,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_33938,c_226]) ).
tcf(c_56093,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_33938,c_176]) ).
tcf(c_56095,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_33938,c_193]) ).
tcf(c_56096,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_33938,c_186]) ).
tcf(c_56097,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_33938,c_166]) ).
tcf(c_56098,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_56086,c_141]) ).
tcf(c_56111,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_56084,c_141]) ).
tcf(c_56115,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_56097,c_141]) ).
tcf(c_56120,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_56096,c_141]) ).
tcf(c_56125,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_56082,c_141]) ).
tcf(c_56131,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_56092,c_141]) ).
tcf(c_56136,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_56088,c_141]) ).
tcf(c_56141,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_56095,c_141]) ).
tcf(c_56147,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_56079,c_33938]) ).
tcf(c_56148,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_56147,c_141]) ).
tcf(c_56189,plain,
( segmentP(sK59,nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_192,c_32407]) ).
tcf(c_56192,plain,
segmentP(sK59,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_56189,c_141]) ).
tcf(c_56216,plain,
( ( app(app(sK13(sK59,nil),nil),sK14(sK59,nil)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_56192,c_70]) ).
tcf(c_56217,plain,
! [X0: $i] :
( segmentP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_56192,c_190]) ).
tcf(c_56218,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ segmentP(nil,sK59) ),
inference(superposition,[status(thm)],[c_56192,c_191]) ).
tcf(c_56220,plain,
( ( nil = sK59 )
| ~ segmentP(nil,sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56218,c_9003,c_141]) ).
tcf(c_56224,plain,
app(app(sK13(sK59,nil),nil),sK14(sK59,nil)) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_56216,c_9003,c_141]) ).
tcf(c_56235,plain,
( segmentP(sK56,nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_192,c_32488]) ).
tcf(c_56238,plain,
segmentP(sK56,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_56235,c_141]) ).
tcf(c_56239,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_56070,c_67]) ).
tcf(c_56242,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_56070,c_167]) ).
tcf(c_56243,plain,
( ( app(sK13(sK58,nil),nil) = nil )
| ~ ssList(sK14(sK58,nil))
| ~ ssList(app(sK13(sK58,nil),nil))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_56070,c_231]) ).
tcf(c_56244,plain,
( ( sK14(sK58,nil) = nil )
| ~ ssList(sK14(sK58,nil))
| ~ ssList(app(sK13(sK58,nil),nil))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_56070,c_230]) ).
tcf(c_56245,plain,
( frontsegP(sK58,app(sK13(sK58,nil),nil))
| ~ ssList(sK14(sK58,nil))
| ~ ssList(app(sK13(sK58,nil),nil)) ),
inference(superposition,[status(thm)],[c_56070,c_386]) ).
tcf(c_56246,plain,
( rearsegP(sK58,sK14(sK58,nil))
| ~ ssList(sK14(sK58,nil))
| ~ ssList(app(sK13(sK58,nil),nil)) ),
inference(superposition,[status(thm)],[c_56070,c_383]) ).
tcf(c_56248,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_56070,c_225]) ).
tcf(c_56250,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_56070,c_226]) ).
tcf(c_56251,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_56070,c_176]) ).
tcf(c_56252,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_56070,c_165]) ).
tcf(c_56253,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_56070,c_193]) ).
tcf(c_56254,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_56070,c_186]) ).
tcf(c_56255,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_56070,c_166]) ).
tcf(c_56256,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_56070,c_193]) ).
tcf(c_56314,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_56239,c_56070]) ).
tcf(c_56375,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_56224,c_67]) ).
tcf(c_56378,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_56224,c_167]) ).
tcf(c_56379,plain,
( ( app(sK13(sK59,nil),nil) = nil )
| ~ ssList(sK14(sK59,nil))
| ~ ssList(app(sK13(sK59,nil),nil))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_56224,c_231]) ).
tcf(c_56380,plain,
( ( sK14(sK59,nil) = nil )
| ~ ssList(sK14(sK59,nil))
| ~ ssList(app(sK13(sK59,nil),nil))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_56224,c_230]) ).
tcf(c_56381,plain,
( frontsegP(sK59,app(sK13(sK59,nil),nil))
| ~ ssList(sK14(sK59,nil))
| ~ ssList(app(sK13(sK59,nil),nil)) ),
inference(superposition,[status(thm)],[c_56224,c_386]) ).
tcf(c_56382,plain,
( rearsegP(sK59,sK14(sK59,nil))
| ~ ssList(sK14(sK59,nil))
| ~ ssList(app(sK13(sK59,nil),nil)) ),
inference(superposition,[status(thm)],[c_56224,c_383]) ).
tcf(c_56384,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_56224,c_225]) ).
tcf(c_56386,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_56224,c_226]) ).
tcf(c_56387,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_56224,c_176]) ).
tcf(c_56388,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_56224,c_165]) ).
tcf(c_56389,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_56224,c_193]) ).
tcf(c_56390,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_56224,c_186]) ).
tcf(c_56391,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_56224,c_166]) ).
tcf(c_56392,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_56224,c_193]) ).
tcf(c_56450,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_56375,c_56224]) ).
tcf(c_56520,plain,
( ( app(sK59,sK11(app(sK59,sK56),sK59)) = app(sK59,sK56) )
| ~ ssList(sK59)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_153,c_43937]) ).
tcf(c_56521,plain,
app(sK59,sK11(app(sK59,sK56),sK59)) = app(sK59,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_56520,c_9003,c_9004]) ).
tcf(c_56522,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_56521,c_67]) ).
tcf(c_56525,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_56521,c_167]) ).
tcf(c_56526,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ( app(sK59,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_56521,c_231]) ).
tcf(c_56527,plain,
( ( sK11(app(sK59,sK56),sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ( app(sK59,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_56521,c_230]) ).
tcf(c_56528,plain,
( frontsegP(app(sK59,sK56),sK59)
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_56521,c_386]) ).
tcf(c_56529,plain,
( rearsegP(app(sK59,sK56),sK11(app(sK59,sK56),sK59))
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_56521,c_383]) ).
tcf(c_56530,plain,
( ssList(app(sK59,sK56))
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_56521,c_153]) ).
tcf(c_56531,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_56521,c_225]) ).
tcf(c_56532,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_56521,c_226]) ).
tcf(c_56533,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_56521,c_176]) ).
tcf(c_56534,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_56521,c_165]) ).
tcf(c_56535,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_56521,c_193]) ).
tcf(c_56536,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_56521,c_186]) ).
tcf(c_56537,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_56521,c_166]) ).
tcf(c_56538,plain,
( ( sK11(app(sK59,sK56),sK59) = nil )
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ( app(sK59,sK56) != sK59 ) ),
inference(superposition,[status(thm)],[c_56521,c_26196]) ).
tcf(c_56539,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_56521,c_26460]) ).
tcf(c_56540,plain,
! [X0: $i] :
( segmentP(app(sK59,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_56521,c_27041]) ).
tcf(c_56541,plain,
! [X0: $i] :
( segmentP(app(sK59,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_56521,c_27026]) ).
tcf(c_56542,plain,
( ssList(app(sK59,sK56))
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56530,c_9003]) ).
tcf(c_56545,plain,
( frontsegP(app(sK59,sK56),sK59)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56528,c_9003]) ).
tcf(c_56556,plain,
( rearsegP(app(sK59,sK56),sK11(app(sK59,sK56),sK59))
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56529,c_9003]) ).
tcf(c_56559,plain,
( segmentP(app(sK59,sK56),sK59)
| ~ ssList(app(sK59,sK56))
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(light_normalisation,[status(thm)],[c_56539,c_56521]) ).
tcf(c_56563,plain,
( ( nil = sK59 )
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ( app(sK59,sK56) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56526,c_9003]) ).
tcf(c_56570,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_56534,c_9003]) ).
tcf(c_56575,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_56533,c_9003]) ).
tcf(c_56580,plain,
( ( sK11(app(sK59,sK56),sK59) = nil )
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ( app(sK59,sK56) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56527,c_9003]) ).
tcf(c_56584,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_56537,c_9003]) ).
tcf(c_56589,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_56536,c_9003]) ).
tcf(c_56594,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_56525,c_9003]) ).
tcf(c_56600,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_56532,c_9003]) ).
tcf(c_56605,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_56531,c_9003]) ).
tcf(c_56610,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_56535,c_9003]) ).
tcf(c_56616,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_56522,c_56521]) ).
tcf(c_56617,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_56616,c_9003]) ).
tcf(c_56918,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_56556,c_183]) ).
tcf(c_56919,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_56556,c_184]) ).
tcf(c_56920,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_56556,c_66]) ).
tcf(c_56967,plain,
( ( app(app(sK13(sK56,nil),nil),sK14(sK56,nil)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_56238,c_70]) ).
tcf(c_56968,plain,
! [X0: $i] :
( segmentP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_56238,c_190]) ).
tcf(c_56969,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ segmentP(nil,sK56) ),
inference(superposition,[status(thm)],[c_56238,c_191]) ).
tcf(c_56970,plain,
( ( nil = sK56 )
| ~ segmentP(nil,sK56) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56969,c_9004,c_141]) ).
tcf(c_56974,plain,
app(app(sK13(sK56,nil),nil),sK14(sK56,nil)) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_56967,c_9004,c_141]) ).
tcf(c_56989,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_39055,c_67]) ).
tcf(c_56995,plain,
( frontsegP(cons(sK57,sK56),cons(sK57,sK56))
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39055,c_386]) ).
tcf(c_56996,plain,
( rearsegP(cons(sK57,sK56),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39055,c_383]) ).
tcf(c_56998,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_39055,c_225]) ).
tcf(c_56999,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_39055,c_226]) ).
tcf(c_57002,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_39055,c_193]) ).
tcf(c_57003,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK56),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39055,c_186]) ).
tcf(c_57008,plain,
( segmentP(cons(sK57,sK56),sK56)
| ~ ssList(nil)
| ~ ssList(app(cons(sK57,sK56),nil)) ),
inference(superposition,[status(thm)],[c_39055,c_39012]) ).
tcf(c_57009,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK56),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_39055,c_39006]) ).
tcf(c_57010,plain,
rearsegP(cons(sK57,sK56),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_56996,c_141,c_38969]) ).
tcf(c_57011,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57009,c_141]) ).
tcf(c_57015,plain,
( segmentP(cons(sK57,sK56),sK56)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(light_normalisation,[status(thm)],[c_57008,c_39055]) ).
tcf(c_57016,plain,
segmentP(cons(sK57,sK56),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_57015,c_141,c_38969]) ).
tcf(c_57017,plain,
frontsegP(cons(sK57,sK56),cons(sK57,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_56995,c_141,c_38969]) ).
tcf(c_57018,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK56),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57003,c_141,c_38969]) ).
tcf(c_57022,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_57002,c_141,c_38969]) ).
tcf(c_57027,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(cons(sK57,sK56),X0) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56999,c_141,c_38969]) ).
tcf(c_57031,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56998,c_141,c_38969]) ).
tcf(c_57035,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_56989,c_39055]) ).
tcf(c_57036,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_57035,c_141,c_38969]) ).
tcf(c_57044,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_56974,c_67]) ).
tcf(c_57047,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_56974,c_167]) ).
tcf(c_57048,plain,
( ( app(sK13(sK56,nil),nil) = nil )
| ~ ssList(sK14(sK56,nil))
| ~ ssList(app(sK13(sK56,nil),nil))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_56974,c_231]) ).
tcf(c_57049,plain,
( ( sK14(sK56,nil) = nil )
| ~ ssList(sK14(sK56,nil))
| ~ ssList(app(sK13(sK56,nil),nil))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_56974,c_230]) ).
tcf(c_57050,plain,
( frontsegP(sK56,app(sK13(sK56,nil),nil))
| ~ ssList(sK14(sK56,nil))
| ~ ssList(app(sK13(sK56,nil),nil)) ),
inference(superposition,[status(thm)],[c_56974,c_386]) ).
tcf(c_57051,plain,
( rearsegP(sK56,sK14(sK56,nil))
| ~ ssList(sK14(sK56,nil))
| ~ ssList(app(sK13(sK56,nil),nil)) ),
inference(superposition,[status(thm)],[c_56974,c_383]) ).
tcf(c_57053,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_56974,c_225]) ).
tcf(c_57055,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_56974,c_226]) ).
tcf(c_57056,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_56974,c_176]) ).
tcf(c_57057,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_56974,c_165]) ).
tcf(c_57058,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_56974,c_193]) ).
tcf(c_57059,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_56974,c_186]) ).
tcf(c_57060,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_56974,c_166]) ).
tcf(c_57061,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_56974,c_193]) ).
tcf(c_57119,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_57044,c_56974]) ).
tcf(c_57165,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_43944,c_173]) ).
tcf(c_57166,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_43944,c_174]) ).
tcf(c_57167,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_43944,c_63]) ).
tcf(c_57190,plain,
( ( app(sK56,sK11(app(sK56,sK58),sK56)) = app(sK56,sK58) )
| ~ ssList(sK58)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_153,c_45870]) ).
tcf(c_57191,plain,
app(sK56,sK11(app(sK56,sK58),sK56)) = app(sK56,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_57190,c_9000,c_9004]) ).
tcf(c_57192,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_57191,c_67]) ).
tcf(c_57195,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_57191,c_167]) ).
tcf(c_57196,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK58),sK56))
| ( app(sK56,sK58) != nil ) ),
inference(superposition,[status(thm)],[c_57191,c_231]) ).
tcf(c_57197,plain,
( ( sK11(app(sK56,sK58),sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK58),sK56))
| ( app(sK56,sK58) != nil ) ),
inference(superposition,[status(thm)],[c_57191,c_230]) ).
tcf(c_57198,plain,
( frontsegP(app(sK56,sK58),sK56)
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK58),sK56)) ),
inference(superposition,[status(thm)],[c_57191,c_386]) ).
tcf(c_57199,plain,
( rearsegP(app(sK56,sK58),sK11(app(sK56,sK58),sK56))
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK58),sK56)) ),
inference(superposition,[status(thm)],[c_57191,c_383]) ).
tcf(c_57200,plain,
( ssList(app(sK56,sK58))
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK58),sK56)) ),
inference(superposition,[status(thm)],[c_57191,c_153]) ).
tcf(c_57201,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_57191,c_225]) ).
tcf(c_57202,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_57191,c_226]) ).
tcf(c_57203,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_57191,c_176]) ).
tcf(c_57204,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_57191,c_165]) ).
tcf(c_57205,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_57191,c_193]) ).
tcf(c_57206,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_57191,c_186]) ).
tcf(c_57207,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_57191,c_166]) ).
tcf(c_57208,plain,
( ( sK11(app(sK56,sK58),sK56) = nil )
| ~ ssList(sK11(app(sK56,sK58),sK56))
| ( app(sK56,sK58) != sK56 ) ),
inference(superposition,[status(thm)],[c_57191,c_26200]) ).
tcf(c_57209,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_57191,c_26465]) ).
tcf(c_57210,plain,
! [X0: $i] :
( segmentP(app(sK56,sK58),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(sK11(app(sK56,sK58),sK56)) ),
inference(superposition,[status(thm)],[c_57191,c_27046]) ).
tcf(c_57211,plain,
! [X0: $i] :
( segmentP(app(sK56,sK58),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK56,sK58),sK56)) ),
inference(superposition,[status(thm)],[c_57191,c_27031]) ).
tcf(c_57212,plain,
( ssList(app(sK56,sK58))
| ~ ssList(sK11(app(sK56,sK58),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57200,c_9004]) ).
tcf(c_57215,plain,
( frontsegP(app(sK56,sK58),sK56)
| ~ ssList(sK11(app(sK56,sK58),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57198,c_9004]) ).
tcf(c_57226,plain,
( rearsegP(app(sK56,sK58),sK11(app(sK56,sK58),sK56))
| ~ ssList(sK11(app(sK56,sK58),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57199,c_9004]) ).
tcf(c_57229,plain,
( segmentP(app(sK56,sK58),sK56)
| ~ ssList(app(sK56,sK58))
| ~ ssList(sK11(app(sK56,sK58),sK56)) ),
inference(light_normalisation,[status(thm)],[c_57209,c_57191]) ).
tcf(c_57233,plain,
( ( nil = sK56 )
| ~ ssList(sK11(app(sK56,sK58),sK56))
| ( app(sK56,sK58) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57196,c_9004]) ).
tcf(c_57240,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_57204,c_9004]) ).
tcf(c_57245,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_57203,c_9004]) ).
tcf(c_57250,plain,
( ( sK11(app(sK56,sK58),sK56) = nil )
| ~ ssList(sK11(app(sK56,sK58),sK56))
| ( app(sK56,sK58) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57197,c_9004]) ).
tcf(c_57254,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_57207,c_9004]) ).
tcf(c_57259,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_57206,c_9004]) ).
tcf(c_57264,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_57195,c_9004]) ).
tcf(c_57270,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_57202,c_9004]) ).
tcf(c_57275,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_57201,c_9004]) ).
tcf(c_57280,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_57205,c_9004]) ).
tcf(c_57286,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_57192,c_57191]) ).
tcf(c_57287,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_57286,c_9004]) ).
tcf(c_57342,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_57226,c_183]) ).
tcf(c_57343,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_57226,c_184]) ).
tcf(c_57344,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_57226,c_66]) ).
tcf(c_57364,plain,
cons(hd(iPr_def_13),tl(iPr_def_13)) = iPr_def_13,
inference(global_subsumption_just,[status(thm)],[c_16393,c_16393,c_17779,c_17841]) ).
tcf(c_57368,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56))
| ~ rearsegP(nil,cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_57010,c_184]) ).
tcf(c_57369,plain,
( ( app(sK12(cons(sK57,sK56),nil),nil) = cons(sK57,sK56) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_57010,c_66]) ).
tcf(c_57370,plain,
app(sK12(cons(sK57,sK56),nil),nil) = cons(sK57,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_57369,c_141,c_38969]) ).
tcf(c_57371,plain,
~ rearsegP(nil,cons(sK57,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_57368,c_38976,c_141,c_38969]) ).
tcf(c_57374,plain,
( ( app(cons(sK57,sK56),sK11(cons(sK57,sK56),cons(sK57,sK56))) = cons(sK57,sK56) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_57017,c_63]) ).
tcf(c_57377,plain,
app(cons(sK57,sK56),sK11(cons(sK57,sK56),cons(sK57,sK56))) = cons(sK57,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_57374,c_38969]) ).
tcf(c_57378,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_39056,c_122]) ).
tcf(c_57379,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_39056,c_114]) ).
tcf(c_57380,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_39056,c_130]) ).
tcf(c_57384,plain,
( memberP(cons(sK57,sK56),sK57)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(app(nil,cons(sK57,sK56))) ),
inference(superposition,[status(thm)],[c_39056,c_54]) ).
tcf(c_57385,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_39056,c_67]) ).
tcf(c_57391,plain,
( frontsegP(cons(sK57,sK56),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39056,c_386]) ).
tcf(c_57392,plain,
( rearsegP(cons(sK57,sK56),cons(sK57,sK56))
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39056,c_383]) ).
tcf(c_57394,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_39056,c_225]) ).
tcf(c_57398,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_39056,c_226]) ).
tcf(c_57399,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK56),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39056,c_176]) ).
tcf(c_57401,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_39056,c_193]) ).
tcf(c_57404,plain,
frontsegP(cons(sK57,sK56),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_57391,c_141,c_38969]) ).
tcf(c_57405,plain,
rearsegP(cons(sK57,sK56),cons(sK57,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_57392,c_141,c_38969]) ).
tcf(c_57406,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57399,c_141,c_38969]) ).
tcf(c_57410,plain,
( memberP(cons(sK57,sK56),sK57)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,sK56)) ),
inference(light_normalisation,[status(thm)],[c_57384,c_39056]) ).
tcf(c_57411,plain,
memberP(cons(sK57,sK56),sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_57410,c_9004,c_141,c_8999,c_38969]) ).
tcf(c_57412,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57398,c_141,c_38969]) ).
tcf(c_57416,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,cons(sK57,sK56)) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57394,c_141,c_38969]) ).
tcf(c_57420,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_57401,c_141,c_38969]) ).
tcf(c_57425,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_57385,c_39056]) ).
tcf(c_57426,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_57425,c_141,c_38969]) ).
tcf(c_57448,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_57380,c_39056]) ).
tcf(c_57449,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_57448,c_9004,c_141,c_8999]) ).
tcf(c_57453,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_57379,c_39056]) ).
tcf(c_57454,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_57453,c_9004,c_141,c_8999]) ).
tcf(c_57460,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_57378,c_39056]) ).
tcf(c_57461,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_57460,c_9004,c_141,c_8999]) ).
tcf(c_57559,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_57016,c_70]) ).
tcf(c_57560,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK56),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_57016,c_190]) ).
tcf(c_57561,plain,
( ( cons(sK57,sK56) = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56))
| ~ segmentP(sK56,cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_57016,c_191]) ).
tcf(c_57562,plain,
~ segmentP(sK56,cons(sK57,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_57561,c_38972,c_9004,c_38969]) ).
tcf(c_57564,plain,
app(app(sK13(cons(sK57,sK56),sK56),sK56),sK14(cons(sK57,sK56),sK56)) = cons(sK57,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_57559,c_9004,c_38969]) ).
tcf(c_57566,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56))
| ~ frontsegP(nil,cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_57404,c_174]) ).
tcf(c_57567,plain,
( ( app(nil,sK11(cons(sK57,sK56),nil)) = cons(sK57,sK56) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_57404,c_63]) ).
tcf(c_57568,plain,
app(nil,sK11(cons(sK57,sK56),nil)) = cons(sK57,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_57567,c_141,c_38969]) ).
tcf(c_57569,plain,
~ frontsegP(nil,cons(sK57,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_57566,c_38976,c_141,c_38969]) ).
tcf(c_57828,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_57411,c_57]) ).
tcf(c_57829,plain,
( ( app(nil,sK8(cons(sK57,sK56),sK57)) = sK8(cons(sK57,sK56),sK57) )
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_57411,c_12668]) ).
tcf(c_57832,plain,
app(nil,sK8(cons(sK57,sK56),sK57)) = sK8(cons(sK57,sK56),sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_57829,c_8999,c_38969]) ).
tcf(c_57833,plain,
app(sK8(cons(sK57,sK56),sK57),cons(sK57,sK9(cons(sK57,sK56),sK57))) = cons(sK57,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_57828,c_8999,c_38969]) ).
tcf(c_57834,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_57832,c_67]) ).
tcf(c_57840,plain,
( frontsegP(sK8(cons(sK57,sK56),sK57),nil)
| ~ ssList(nil)
| ~ ssList(sK8(cons(sK57,sK56),sK57)) ),
inference(superposition,[status(thm)],[c_57832,c_386]) ).
tcf(c_57841,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_57832,c_383]) ).
tcf(c_57843,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_57832,c_225]) ).
tcf(c_57847,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_57832,c_226]) ).
tcf(c_57848,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_57832,c_176]) ).
tcf(c_57850,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_57832,c_193]) ).
tcf(c_57853,plain,
( frontsegP(sK8(cons(sK57,sK56),sK57),nil)
| ~ ssList(sK8(cons(sK57,sK56),sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57840,c_141]) ).
tcf(c_57856,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_57841,c_141]) ).
tcf(c_57859,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_57848,c_141]) ).
tcf(c_57864,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_57847,c_141]) ).
tcf(c_57869,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_57843,c_141]) ).
tcf(c_57874,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_57850,c_141]) ).
tcf(c_57880,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_57834,c_57832]) ).
tcf(c_57881,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_57880,c_141]) ).
tcf(c_57897,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_45877,c_173]) ).
tcf(c_57898,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_45877,c_174]) ).
tcf(c_57899,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_45877,c_63]) ).
tcf(c_57926,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_38043,c_45973]) ).
tcf(c_57927,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_41654,c_45973]) ).
tcf(c_57928,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_45247,c_45973]) ).
tcf(c_57929,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_45973,c_70]) ).
tcf(c_57930,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_45973,c_190]) ).
tcf(c_57931,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_45973,c_191]) ).
tcf(c_57932,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK58,sK58)),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57928,c_9000]) ).
tcf(c_57936,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK58,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57927,c_9003]) ).
tcf(c_57940,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57926,c_9004]) ).
tcf(c_58026,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_57932,c_70]) ).
tcf(c_58027,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_57932,c_190]) ).
tcf(c_58028,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_57932,c_191]) ).
tcf(c_58029,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_58027,c_47111]) ).
tcf(c_58035,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_58028,c_47111]) ).
tcf(c_58040,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_58026,c_47111]) ).
tcf(c_58053,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_57936,c_70]) ).
tcf(c_58054,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_57936,c_190]) ).
tcf(c_58055,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_57936,c_191]) ).
tcf(c_58056,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_58054,c_45985]) ).
tcf(c_58062,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_58055,c_45985]) ).
tcf(c_58067,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_58053,c_45985]) ).
tcf(c_58080,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_57940,c_70]) ).
tcf(c_58081,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_57940,c_190]) ).
tcf(c_58082,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_57940,c_191]) ).
tcf(c_58083,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_58081,c_45988]) ).
tcf(c_58089,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_58082,c_45988]) ).
tcf(c_58094,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_58080,c_45988]) ).
tcf(c_58107,plain,
( segmentP(cons(sK57,app(sK58,sK56)),sK58)
| ~ ssList(sK56)
| ~ ssList(app(cons(sK57,sK58),sK56)) ),
inference(superposition,[status(thm)],[c_38043,c_45979]) ).
tcf(c_58108,plain,
( segmentP(cons(sK57,app(sK58,sK59)),sK58)
| ~ ssList(sK59)
| ~ ssList(app(cons(sK57,sK58),sK59)) ),
inference(superposition,[status(thm)],[c_41654,c_45979]) ).
tcf(c_58109,plain,
( segmentP(cons(sK57,app(sK58,sK58)),sK58)
| ~ ssList(sK58)
| ~ ssList(app(cons(sK57,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_45247,c_45979]) ).
tcf(c_58110,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_45979,c_70]) ).
tcf(c_58111,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_45979,c_190]) ).
tcf(c_58112,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_45979,c_191]) ).
tcf(c_58113,plain,
( segmentP(cons(sK57,app(sK58,sK58)),sK58)
| ~ ssList(sK58)
| ~ ssList(cons(sK57,app(sK58,sK58))) ),
inference(light_normalisation,[status(thm)],[c_58109,c_45247]) ).
tcf(c_58114,plain,
segmentP(cons(sK57,app(sK58,sK58)),sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_58113,c_9000,c_47111]) ).
tcf(c_58115,plain,
( segmentP(cons(sK57,app(sK58,sK59)),sK58)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK58,sK59))) ),
inference(light_normalisation,[status(thm)],[c_58108,c_41654]) ).
tcf(c_58116,plain,
segmentP(cons(sK57,app(sK58,sK59)),sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_58115,c_9003,c_45985]) ).
tcf(c_58117,plain,
( segmentP(cons(sK57,app(sK58,sK56)),sK58)
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK58,sK56))) ),
inference(light_normalisation,[status(thm)],[c_58107,c_38043]) ).
tcf(c_58118,plain,
segmentP(cons(sK57,app(sK58,sK56)),sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_58117,c_9004,c_45988]) ).
tcf(c_58119,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_58111,c_9000]) ).
tcf(c_58125,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_58112,c_9000]) ).
tcf(c_58130,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_58110,c_9000]) ).
tcf(c_58137,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_58114,c_70]) ).
tcf(c_58138,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_58114,c_190]) ).
tcf(c_58139,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_58114,c_191]) ).
tcf(c_58141,plain,
~ segmentP(sK58,cons(sK57,app(sK58,sK58))),
inference(forward_subsumption_resolution,[status(thm)],[c_58139,c_47114,c_9000,c_47111]) ).
tcf(c_58142,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_58137,c_9000,c_47111]) ).
tcf(c_58143,plain,
cons(hd(iPr_def_12),tl(iPr_def_12)) = iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_16394,c_16394,c_17779]) ).
tcf(c_58145,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_58143,c_130]) ).
tcf(c_58146,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_58143,c_122]) ).
tcf(c_58147,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_58143,c_114]) ).
tcf(c_58148,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_58143,c_130]) ).
tcf(c_58152,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_58143,c_54]) ).
tcf(c_58153,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_58143,c_122]) ).
tcf(c_58154,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_58143,c_114]) ).
tcf(c_58158,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_58143,c_137]) ).
tcf(c_58161,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_58143,c_178]) ).
tcf(c_58162,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_58143,c_179]) ).
tcf(c_58163,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_58143,c_28016]) ).
tcf(c_58164,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_58143,c_27918]) ).
tcf(c_58165,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_58143,c_27763]) ).
tcf(c_58166,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_58143,c_27753]) ).
tcf(c_58167,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_58143,c_26831]) ).
tcf(c_58168,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_58143,c_144]) ).
tcf(c_58169,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_58143,c_143]) ).
tcf(c_58170,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_58143,c_178]) ).
tcf(c_58171,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_58143,c_179]) ).
tcf(c_58172,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_58143,c_170]) ).
tcf(c_58173,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_58143,c_214]) ).
tcf(c_58174,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_58143,c_208]) ).
tcf(c_58175,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_58143,c_213]) ).
tcf(c_58176,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_58143,c_207]) ).
tcf(c_58178,plain,
( ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ( tl(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_58143,c_142]) ).
tcf(c_58179,plain,
( memberP(iPr_def_12,hd(iPr_def_12))
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_58143,c_168]) ).
tcf(c_58181,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_58143,c_177]) ).
tcf(c_58182,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_58143,c_169]) ).
tcf(c_58183,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_58143,c_177]) ).
tcf(c_58184,plain,
memberP(iPr_def_12,hd(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_58179,c_19130,c_25870]) ).
tcf(c_58185,plain,
tl(iPr_def_12) != iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_58178,c_19130,c_25870]) ).
tcf(c_58186,plain,
( frontsegP(nil,tl(iPr_def_12))
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58167,c_19130,c_25870]) ).
tcf(c_58189,plain,
( ( hd(iPr_def_12) = sK57 )
| ~ frontsegP(iPr_def_12,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58166,c_19130,c_25870]) ).
tcf(c_58192,plain,
( ( hd(iPr_def_12) = sK57 )
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58165,c_19130,c_25870]) ).
tcf(c_58195,plain,
( ( hd(iPr_def_12) = sK57 )
| ( iPr_def_11 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58164,c_19130,c_25870]) ).
tcf(c_58198,plain,
( ( tl(iPr_def_12) = nil )
| ( iPr_def_11 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58163,c_19130,c_25870]) ).
tcf(c_58201,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(tl(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58182,c_19130,c_25870]) ).
tcf(c_58205,plain,
( totalorderedP(tl(iPr_def_12))
| ( tl(iPr_def_12) = nil )
| ~ totalorderedP(iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58176,c_19130,c_25870]) ).
tcf(c_58209,plain,
( strictorderedP(tl(iPr_def_12))
| ( tl(iPr_def_12) = nil )
| ~ strictorderedP(iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58175,c_19130,c_25870]) ).
tcf(c_58213,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_58183,c_19130,c_25870]) ).
tcf(c_58217,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_58181,c_19130,c_25870]) ).
tcf(c_58221,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_58174,c_19130,c_25870]) ).
tcf(c_58225,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_58173,c_19130,c_25870]) ).
tcf(c_58229,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_58172,c_19130,c_25870]) ).
tcf(c_58234,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_58171,c_19130,c_25870]) ).
tcf(c_58239,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_58162,c_19130,c_25870]) ).
tcf(c_58244,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_58170,c_19130,c_25870]) ).
tcf(c_58249,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_58161,c_19130,c_25870]) ).
tcf(c_58254,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_58169,c_19130,c_25870]) ).
tcf(c_58259,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_58168,c_19130,c_25870]) ).
tcf(c_58264,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_58152,c_58143]) ).
tcf(c_58265,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_58264,c_19130,c_25870]) ).
tcf(c_58311,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_58158,c_58143]) ).
tcf(c_58312,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_58311,c_19130,c_25870]) ).
tcf(c_58318,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_58148,c_58143]) ).
tcf(c_58319,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_58318,c_19130,c_25870]) ).
tcf(c_58324,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_58145,c_58143]) ).
tcf(c_58325,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_58324,c_19130,c_25870]) ).
tcf(c_58330,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_58154,c_58143]) ).
tcf(c_58331,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_58330,c_19130,c_25870]) ).
tcf(c_58338,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_58153,c_58143]) ).
tcf(c_58339,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_58338,c_19130,c_25870]) ).
tcf(c_58346,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_58147,c_58143]) ).
tcf(c_58347,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_58346,c_19130,c_25870]) ).
tcf(c_58354,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_58146,c_58143]) ).
tcf(c_58355,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_58354,c_19130,c_25870]) ).
tcf(c_58440,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_58184,c_57]) ).
tcf(c_58441,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_58184,c_12668]) ).
tcf(c_58442,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_58184,c_22920]) ).
tcf(c_58443,plain,
( memberP(iPr_def_10,hd(iPr_def_12))
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_58184,c_22335]) ).
tcf(c_58444,plain,
memberP(iPr_def_10,hd(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_58443,c_25870]) ).
tcf(c_58445,plain,
( memberP(iPr_def_11,hd(iPr_def_12))
| memberP(sK58,hd(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58442,c_25870]) ).
tcf(c_58448,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_58441,c_12995,c_25870]) ).
tcf(c_58449,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_58440,c_12995,c_25870]) ).
tcf(c_58452,plain,
( ( app(sK12(cons(sK57,sK56),cons(sK57,sK56)),cons(sK57,sK56)) = cons(sK57,sK56) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_57405,c_66]) ).
tcf(c_58453,plain,
app(sK12(cons(sK57,sK56),cons(sK57,sK56)),cons(sK57,sK56)) = cons(sK57,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_58452,c_38969]) ).
tcf(c_58454,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_58444,c_57]) ).
tcf(c_58455,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_58444,c_12668]) ).
tcf(c_58457,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_58455,c_18402,c_25870]) ).
tcf(c_58458,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_58454,c_18402,c_25870]) ).
tcf(c_58459,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_58116,c_70]) ).
tcf(c_58460,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_58116,c_190]) ).
tcf(c_58461,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_58116,c_191]) ).
tcf(c_58463,plain,
( ( cons(sK57,app(sK58,sK59)) = sK58 )
| ~ segmentP(sK58,cons(sK57,app(sK58,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58461,c_9000,c_45985]) ).
tcf(c_58466,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_58459,c_9000,c_45985]) ).
tcf(c_58467,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_58118,c_70]) ).
tcf(c_58468,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_58118,c_190]) ).
tcf(c_58469,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_58118,c_191]) ).
tcf(c_58471,plain,
( ( cons(sK57,app(sK58,sK56)) = sK58 )
| ~ segmentP(sK58,cons(sK57,app(sK58,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58469,c_9000,c_45988]) ).
tcf(c_58474,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_58467,c_9000,c_45988]) ).
tcf(c_58487,plain,
( ( app(sK59,sK11(app(sK59,sK58),sK59)) = app(sK59,sK58) )
| ~ ssList(sK58)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_153,c_47079]) ).
tcf(c_58488,plain,
app(sK59,sK11(app(sK59,sK58),sK59)) = app(sK59,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_58487,c_9000,c_9003]) ).
tcf(c_58489,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_58488,c_67]) ).
tcf(c_58492,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_58488,c_167]) ).
tcf(c_58493,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK58),sK59))
| ( app(sK59,sK58) != nil ) ),
inference(superposition,[status(thm)],[c_58488,c_231]) ).
tcf(c_58494,plain,
( ( sK11(app(sK59,sK58),sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK58),sK59))
| ( app(sK59,sK58) != nil ) ),
inference(superposition,[status(thm)],[c_58488,c_230]) ).
tcf(c_58495,plain,
( frontsegP(app(sK59,sK58),sK59)
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK58),sK59)) ),
inference(superposition,[status(thm)],[c_58488,c_386]) ).
tcf(c_58496,plain,
( rearsegP(app(sK59,sK58),sK11(app(sK59,sK58),sK59))
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK58),sK59)) ),
inference(superposition,[status(thm)],[c_58488,c_383]) ).
tcf(c_58497,plain,
( ssList(app(sK59,sK58))
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK58),sK59)) ),
inference(superposition,[status(thm)],[c_58488,c_153]) ).
tcf(c_58498,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_58488,c_225]) ).
tcf(c_58499,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_58488,c_226]) ).
tcf(c_58500,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_58488,c_176]) ).
tcf(c_58501,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_58488,c_165]) ).
tcf(c_58502,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_58488,c_193]) ).
tcf(c_58503,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_58488,c_186]) ).
tcf(c_58504,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_58488,c_166]) ).
tcf(c_58505,plain,
( ( sK11(app(sK59,sK58),sK59) = nil )
| ~ ssList(sK11(app(sK59,sK58),sK59))
| ( app(sK59,sK58) != sK59 ) ),
inference(superposition,[status(thm)],[c_58488,c_26196]) ).
tcf(c_58506,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_58488,c_26460]) ).
tcf(c_58507,plain,
! [X0: $i] :
( segmentP(app(sK59,sK58),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK11(app(sK59,sK58),sK59)) ),
inference(superposition,[status(thm)],[c_58488,c_27041]) ).
tcf(c_58508,plain,
! [X0: $i] :
( segmentP(app(sK59,sK58),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK59,sK58),sK59)) ),
inference(superposition,[status(thm)],[c_58488,c_27026]) ).
tcf(c_58509,plain,
( ssList(app(sK59,sK58))
| ~ ssList(sK11(app(sK59,sK58),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58497,c_9003]) ).
tcf(c_58512,plain,
( frontsegP(app(sK59,sK58),sK59)
| ~ ssList(sK11(app(sK59,sK58),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58495,c_9003]) ).
tcf(c_58523,plain,
( rearsegP(app(sK59,sK58),sK11(app(sK59,sK58),sK59))
| ~ ssList(sK11(app(sK59,sK58),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58496,c_9003]) ).
tcf(c_58526,plain,
( segmentP(app(sK59,sK58),sK59)
| ~ ssList(app(sK59,sK58))
| ~ ssList(sK11(app(sK59,sK58),sK59)) ),
inference(light_normalisation,[status(thm)],[c_58506,c_58488]) ).
tcf(c_58530,plain,
( ( nil = sK59 )
| ~ ssList(sK11(app(sK59,sK58),sK59))
| ( app(sK59,sK58) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58493,c_9003]) ).
tcf(c_58537,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_58501,c_9003]) ).
tcf(c_58542,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_58500,c_9003]) ).
tcf(c_58547,plain,
( ( sK11(app(sK59,sK58),sK59) = nil )
| ~ ssList(sK11(app(sK59,sK58),sK59))
| ( app(sK59,sK58) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58494,c_9003]) ).
tcf(c_58551,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_58504,c_9003]) ).
tcf(c_58556,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_58503,c_9003]) ).
tcf(c_58561,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_58492,c_9003]) ).
tcf(c_58567,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_58499,c_9003]) ).
tcf(c_58572,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_58498,c_9003]) ).
tcf(c_58577,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_58502,c_9003]) ).
tcf(c_58583,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_58489,c_58488]) ).
tcf(c_58584,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_58583,c_9003]) ).
tcf(c_58639,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_58523,c_183]) ).
tcf(c_58640,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_58523,c_184]) ).
tcf(c_58641,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_58523,c_66]) ).
tcf(c_58745,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_58186,c_173]) ).
tcf(c_58746,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_58186,c_174]) ).
tcf(c_58747,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_58186,c_63]) ).
tcf(c_58748,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_58186,c_21100]) ).
tcf(c_58749,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_58186,c_18949]) ).
tcf(c_58750,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_58186,c_18933]) ).
tcf(c_58751,plain,
( frontsegP(sK56,tl(iPr_def_12))
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_58186,c_18945]) ).
tcf(c_58752,plain,
( frontsegP(sK59,tl(iPr_def_12))
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_58186,c_18941]) ).
tcf(c_58753,plain,
( frontsegP(sK58,tl(iPr_def_12))
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_58186,c_18937]) ).
tcf(c_58755,plain,
( ( tl(iPr_def_12) = nil )
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(superposition,[status(thm)],[c_58186,c_33939]) ).
tcf(c_58758,plain,
( frontsegP(sK58,tl(iPr_def_12))
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58753,c_19130]) ).
tcf(c_58761,plain,
( frontsegP(sK59,tl(iPr_def_12))
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58752,c_19130]) ).
tcf(c_58764,plain,
( frontsegP(sK56,tl(iPr_def_12))
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58751,c_19130]) ).
tcf(c_58767,plain,
( frontsegP(iPr_def_12,tl(iPr_def_12))
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58750,c_19130]) ).
tcf(c_58770,plain,
( frontsegP(iPr_def_11,tl(iPr_def_12))
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58749,c_19130]) ).
tcf(c_58773,plain,
( frontsegP(iPr_def_10,tl(iPr_def_12))
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58748,c_19130]) ).
tcf(c_58776,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_58747,c_141,c_19130]) ).
tcf(c_58780,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_58745,c_141,c_19130]) ).
tcf(c_58789,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_58445,c_57]) ).
tcf(c_58790,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_58445,c_12668]) ).
tcf(c_58793,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_58790,c_9000,c_25870]) ).
tcf(c_58796,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_58789,c_9000,c_25870]) ).
tcf(c_58803,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_58758,c_173]) ).
tcf(c_58804,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_58758,c_174]) ).
tcf(c_58805,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_58758,c_63]) ).
tcf(c_58808,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_58805,c_9000,c_19130]) ).
tcf(c_58811,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_58804,c_9000,c_19130]) ).
tcf(c_58815,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_58803,c_9000,c_19130]) ).
tcf(c_58849,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_58761,c_173]) ).
tcf(c_58850,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_58761,c_174]) ).
tcf(c_58851,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_58761,c_63]) ).
tcf(c_58852,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_58851,c_9003,c_19130]) ).
tcf(c_58855,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_58850,c_9003,c_19130]) ).
tcf(c_58859,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_58849,c_9003,c_19130]) ).
tcf(c_58912,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_58793,c_57]) ).
tcf(c_58913,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_58793,c_12668]) ).
tcf(c_58914,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_58793,c_25960]) ).
tcf(c_58916,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_58914,c_25870]) ).
tcf(c_58919,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_58913,c_12859,c_25870]) ).
tcf(c_58922,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_58912,c_12859,c_25870]) ).
tcf(c_58933,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_47086,c_173]) ).
tcf(c_58934,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_47086,c_174]) ).
tcf(c_58935,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_47086,c_63]) ).
tcf(c_58954,plain,
cons(hd(iPr_def_10),tl(iPr_def_10)) = iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_16397,c_13897,c_16396,c_17779,c_17841,c_18410]) ).
tcf(c_59015,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_58764,c_173]) ).
tcf(c_59016,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_58764,c_174]) ).
tcf(c_59017,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_58764,c_63]) ).
tcf(c_59018,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_59017,c_9004,c_19130]) ).
tcf(c_59021,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_59016,c_9004,c_19130]) ).
tcf(c_59025,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_59015,c_9004,c_19130]) ).
tcf(c_59034,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_58767,c_173]) ).
tcf(c_59035,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_58767,c_174]) ).
tcf(c_59036,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_58767,c_63]) ).
tcf(c_59038,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_59036,c_12995,c_19130]) ).
tcf(c_59041,plain,
( ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59035,c_58185,c_12995,c_19130]) ).
tcf(c_59044,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_59034,c_12995,c_19130]) ).
tcf(c_59088,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_58770,c_173]) ).
tcf(c_59089,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_58770,c_174]) ).
tcf(c_59090,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_58770,c_63]) ).
tcf(c_59091,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_59090,c_12859,c_19130]) ).
tcf(c_59094,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_59089,c_12859,c_19130]) ).
tcf(c_59098,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_59088,c_12859,c_19130]) ).
tcf(c_59107,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_58773,c_173]) ).
tcf(c_59108,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_58773,c_174]) ).
tcf(c_59109,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_58773,c_63]) ).
tcf(c_59110,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_59109,c_18402,c_19130]) ).
tcf(c_59113,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_59108,c_18402,c_19130]) ).
tcf(c_59117,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_59107,c_18402,c_19130]) ).
tcf(c_59148,plain,
( ( app(sK58,sK11(app(sK58,sK59),sK58)) = app(sK58,sK59) )
| ~ ssList(sK58)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_153,c_47606]) ).
tcf(c_59149,plain,
app(sK58,sK11(app(sK58,sK59),sK58)) = app(sK58,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_59148,c_9000,c_9003]) ).
tcf(c_59150,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_59149,c_67]) ).
tcf(c_59153,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_59149,c_167]) ).
tcf(c_59154,plain,
( ( nil = sK58 )
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK59),sK58))
| ( app(sK58,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_59149,c_231]) ).
tcf(c_59155,plain,
( ( sK11(app(sK58,sK59),sK58) = nil )
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK59),sK58))
| ( app(sK58,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_59149,c_230]) ).
tcf(c_59156,plain,
( frontsegP(app(sK58,sK59),sK58)
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK59),sK58)) ),
inference(superposition,[status(thm)],[c_59149,c_386]) ).
tcf(c_59157,plain,
( rearsegP(app(sK58,sK59),sK11(app(sK58,sK59),sK58))
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK59),sK58)) ),
inference(superposition,[status(thm)],[c_59149,c_383]) ).
tcf(c_59158,plain,
( ssList(app(sK58,sK59))
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK59),sK58)) ),
inference(superposition,[status(thm)],[c_59149,c_153]) ).
tcf(c_59159,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_59149,c_225]) ).
tcf(c_59160,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_59149,c_226]) ).
tcf(c_59161,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_59149,c_176]) ).
tcf(c_59162,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_59149,c_165]) ).
tcf(c_59163,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_59149,c_193]) ).
tcf(c_59164,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_59149,c_186]) ).
tcf(c_59165,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_59149,c_166]) ).
tcf(c_59166,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_59149,c_26228]) ).
tcf(c_59167,plain,
( ( sK11(app(sK58,sK59),sK58) = nil )
| ~ ssList(sK11(app(sK58,sK59),sK58))
| ( app(sK58,sK59) != sK58 ) ),
inference(superposition,[status(thm)],[c_59149,c_26192]) ).
tcf(c_59168,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_59149,c_26455]) ).
tcf(c_59169,plain,
! [X0: $i] :
( segmentP(app(sK58,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(sK11(app(sK58,sK59),sK58)) ),
inference(superposition,[status(thm)],[c_59149,c_27036]) ).
tcf(c_59170,plain,
! [X0: $i] :
( segmentP(app(sK58,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK58,sK59),sK58)) ),
inference(superposition,[status(thm)],[c_59149,c_27021]) ).
tcf(c_59171,plain,
( ssList(app(sK58,sK59))
| ~ ssList(sK11(app(sK58,sK59),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59158,c_9000]) ).
tcf(c_59174,plain,
( frontsegP(app(sK58,sK59),sK58)
| ~ ssList(sK11(app(sK58,sK59),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59156,c_9000]) ).
tcf(c_59185,plain,
( rearsegP(app(sK58,sK59),sK11(app(sK58,sK59),sK58))
| ~ ssList(sK11(app(sK58,sK59),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59157,c_9000]) ).
tcf(c_59188,plain,
( segmentP(app(sK58,sK59),sK58)
| ~ ssList(app(sK58,sK59))
| ~ ssList(sK11(app(sK58,sK59),sK58)) ),
inference(light_normalisation,[status(thm)],[c_59168,c_59149]) ).
tcf(c_59192,plain,
( ( nil = sK58 )
| ~ ssList(sK11(app(sK58,sK59),sK58))
| ( app(sK58,sK59) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59154,c_9000]) ).
tcf(c_59202,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_59162,c_9000]) ).
tcf(c_59207,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_59161,c_9000]) ).
tcf(c_59212,plain,
( ( sK11(app(sK58,sK59),sK58) = nil )
| ~ ssList(sK11(app(sK58,sK59),sK58))
| ( app(sK58,sK59) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59155,c_9000]) ).
tcf(c_59216,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_59165,c_9000]) ).
tcf(c_59221,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_59164,c_9000]) ).
tcf(c_59226,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_59153,c_9000]) ).
tcf(c_59232,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_59160,c_9000]) ).
tcf(c_59237,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_59159,c_9000]) ).
tcf(c_59242,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_59163,c_9000]) ).
tcf(c_59248,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_59150,c_59149]) ).
tcf(c_59249,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_59248,c_9000]) ).
tcf(c_59355,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_59185,c_183]) ).
tcf(c_59356,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_59185,c_184]) ).
tcf(c_59357,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_59185,c_66]) ).
tcf(c_59386,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_16398,c_130]) ).
tcf(c_59387,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_16398,c_122]) ).
tcf(c_59388,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_16398,c_114]) ).
tcf(c_59389,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_16398,c_130]) ).
tcf(c_59393,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_16398,c_54]) ).
tcf(c_59394,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_16398,c_122]) ).
tcf(c_59395,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_16398,c_114]) ).
tcf(c_59399,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_16398,c_137]) ).
tcf(c_59402,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_16398,c_178]) ).
tcf(c_59403,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_16398,c_179]) ).
tcf(c_59404,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_16398,c_28016]) ).
tcf(c_59405,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_16398,c_27918]) ).
tcf(c_59406,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_16398,c_27763]) ).
tcf(c_59407,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_16398,c_27753]) ).
tcf(c_59408,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_16398,c_26831]) ).
tcf(c_59409,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_16398,c_144]) ).
tcf(c_59410,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_16398,c_143]) ).
tcf(c_59411,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_16398,c_178]) ).
tcf(c_59412,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_16398,c_179]) ).
tcf(c_59413,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_16398,c_170]) ).
tcf(c_59414,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_16398,c_214]) ).
tcf(c_59415,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_16398,c_208]) ).
tcf(c_59416,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_16398,c_213]) ).
tcf(c_59417,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_16398,c_207]) ).
tcf(c_59419,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ( tl(tl(sK56)) != tl(sK56) ) ),
inference(superposition,[status(thm)],[c_16398,c_142]) ).
tcf(c_59420,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_16398,c_168]) ).
tcf(c_59422,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_16398,c_177]) ).
tcf(c_59423,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_16398,c_169]) ).
tcf(c_59424,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_16398,c_177]) ).
tcf(c_60017,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_47613,c_173]) ).
tcf(c_60018,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_47613,c_174]) ).
tcf(c_60019,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_47613,c_63]) ).
tcf(c_60042,plain,
( ( app(sK58,sK11(app(sK58,sK58),sK58)) = app(sK58,sK58) )
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_153,c_47697]) ).
tcf(c_60043,plain,
app(sK58,sK11(app(sK58,sK58),sK58)) = app(sK58,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_60042,c_9000]) ).
tcf(c_60044,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_60043,c_67]) ).
tcf(c_60047,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_60043,c_167]) ).
tcf(c_60048,plain,
( ( nil = sK58 )
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK58),sK58))
| ( app(sK58,sK58) != nil ) ),
inference(superposition,[status(thm)],[c_60043,c_231]) ).
tcf(c_60049,plain,
( ( sK11(app(sK58,sK58),sK58) = nil )
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK58),sK58))
| ( app(sK58,sK58) != nil ) ),
inference(superposition,[status(thm)],[c_60043,c_230]) ).
tcf(c_60050,plain,
( frontsegP(app(sK58,sK58),sK58)
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_60043,c_386]) ).
tcf(c_60051,plain,
( rearsegP(app(sK58,sK58),sK11(app(sK58,sK58),sK58))
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_60043,c_383]) ).
tcf(c_60052,plain,
( ssList(app(sK58,sK58))
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_60043,c_153]) ).
tcf(c_60053,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_60043,c_225]) ).
tcf(c_60054,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_60043,c_226]) ).
tcf(c_60055,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_60043,c_176]) ).
tcf(c_60056,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_60043,c_165]) ).
tcf(c_60057,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_60043,c_193]) ).
tcf(c_60058,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_60043,c_186]) ).
tcf(c_60059,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_60043,c_166]) ).
tcf(c_60060,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_60043,c_26228]) ).
tcf(c_60061,plain,
( ( sK11(app(sK58,sK58),sK58) = nil )
| ~ ssList(sK11(app(sK58,sK58),sK58))
| ( app(sK58,sK58) != sK58 ) ),
inference(superposition,[status(thm)],[c_60043,c_26192]) ).
tcf(c_60062,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_60043,c_26455]) ).
tcf(c_60063,plain,
! [X0: $i] :
( segmentP(app(sK58,sK58),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(sK11(app(sK58,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_60043,c_27036]) ).
tcf(c_60064,plain,
! [X0: $i] :
( segmentP(app(sK58,sK58),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK58,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_60043,c_27021]) ).
tcf(c_60065,plain,
( ssList(app(sK58,sK58))
| ~ ssList(sK11(app(sK58,sK58),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60052,c_9000]) ).
tcf(c_60068,plain,
( frontsegP(app(sK58,sK58),sK58)
| ~ ssList(sK11(app(sK58,sK58),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60050,c_9000]) ).
tcf(c_60079,plain,
( rearsegP(app(sK58,sK58),sK11(app(sK58,sK58),sK58))
| ~ ssList(sK11(app(sK58,sK58),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60051,c_9000]) ).
tcf(c_60082,plain,
( segmentP(app(sK58,sK58),sK58)
| ~ ssList(app(sK58,sK58))
| ~ ssList(sK11(app(sK58,sK58),sK58)) ),
inference(light_normalisation,[status(thm)],[c_60062,c_60043]) ).
tcf(c_60086,plain,
( ( nil = sK58 )
| ~ ssList(sK11(app(sK58,sK58),sK58))
| ( app(sK58,sK58) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60048,c_9000]) ).
tcf(c_60096,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_60056,c_9000]) ).
tcf(c_60101,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_60055,c_9000]) ).
tcf(c_60106,plain,
( ( sK11(app(sK58,sK58),sK58) = nil )
| ~ ssList(sK11(app(sK58,sK58),sK58))
| ( app(sK58,sK58) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60049,c_9000]) ).
tcf(c_60110,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_60059,c_9000]) ).
tcf(c_60115,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_60058,c_9000]) ).
tcf(c_60120,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_60047,c_9000]) ).
tcf(c_60126,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_60054,c_9000]) ).
tcf(c_60131,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_60053,c_9000]) ).
tcf(c_60136,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_60057,c_9000]) ).
tcf(c_60142,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_60044,c_60043]) ).
tcf(c_60143,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_60142,c_9000]) ).
tcf(c_60256,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_60079,c_183]) ).
tcf(c_60257,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_60079,c_184]) ).
tcf(c_60258,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_60079,c_66]) ).
tcf(c_60284,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_16399,c_130]) ).
tcf(c_60285,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_16399,c_122]) ).
tcf(c_60286,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_16399,c_114]) ).
tcf(c_60287,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_16399,c_130]) ).
tcf(c_60291,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_16399,c_54]) ).
tcf(c_60292,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_16399,c_122]) ).
tcf(c_60293,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_16399,c_114]) ).
tcf(c_60297,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_16399,c_137]) ).
tcf(c_60300,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_16399,c_178]) ).
tcf(c_60301,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_16399,c_179]) ).
tcf(c_60302,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_16399,c_28016]) ).
tcf(c_60303,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_16399,c_27918]) ).
tcf(c_60304,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_16399,c_27763]) ).
tcf(c_60305,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_16399,c_27753]) ).
tcf(c_60306,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_16399,c_26831]) ).
tcf(c_60307,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_16399,c_144]) ).
tcf(c_60308,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_16399,c_143]) ).
tcf(c_60309,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_16399,c_178]) ).
tcf(c_60310,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_16399,c_179]) ).
tcf(c_60311,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_16399,c_170]) ).
tcf(c_60312,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_16399,c_214]) ).
tcf(c_60313,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_16399,c_208]) ).
tcf(c_60314,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_16399,c_213]) ).
tcf(c_60315,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_16399,c_207]) ).
tcf(c_60317,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ( tl(tl(sK59)) != tl(sK59) ) ),
inference(superposition,[status(thm)],[c_16399,c_142]) ).
tcf(c_60318,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_16399,c_168]) ).
tcf(c_60320,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_16399,c_177]) ).
tcf(c_60321,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_16399,c_169]) ).
tcf(c_60322,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_16399,c_177]) ).
tcf(c_61224,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_41667,c_67]) ).
tcf(c_61227,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_41667,c_167]) ).
tcf(c_61228,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_41667,c_231]) ).
tcf(c_61229,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,iPr_def_12))
| ( cons(sK57,iPr_def_10) != nil ) ),
inference(superposition,[status(thm)],[c_41667,c_230]) ).
tcf(c_61230,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_41667,c_386]) ).
tcf(c_61231,plain,
( rearsegP(cons(sK57,iPr_def_10),sK59)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_41667,c_383]) ).
tcf(c_61232,plain,
( ssList(cons(sK57,iPr_def_10))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_41667,c_153]) ).
tcf(c_61233,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_41667,c_225]) ).
tcf(c_61234,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_41667,c_226]) ).
tcf(c_61235,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_41667,c_176]) ).
tcf(c_61236,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_41667,c_165]) ).
tcf(c_61237,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_41667,c_193]) ).
tcf(c_61238,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_41667,c_186]) ).
tcf(c_61239,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_41667,c_166]) ).
tcf(c_61240,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_41667,c_42707]) ).
tcf(c_61241,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_41667,c_25424]) ).
tcf(c_61242,plain,
( ( cons(sK57,iPr_def_12) = nil )
| ~ ssList(cons(sK57,iPr_def_12))
| ( cons(sK57,iPr_def_10) != sK59 ) ),
inference(superposition,[status(thm)],[c_41667,c_25408]) ).
tcf(c_61243,plain,
( ssList(cons(sK57,iPr_def_10))
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61232,c_9003]) ).
tcf(c_61246,plain,
( rearsegP(cons(sK57,iPr_def_10),sK59)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61231,c_9003]) ).
tcf(c_61249,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_61230,c_9003]) ).
tcf(c_61258,plain,
( ( nil = sK59 )
| ~ ssList(cons(sK57,iPr_def_12))
| ( cons(sK57,iPr_def_10) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61229,c_9003]) ).
tcf(c_61265,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_61239,c_9003]) ).
tcf(c_61270,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_61238,c_9003]) ).
tcf(c_61275,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_61228,c_9003]) ).
tcf(c_61279,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_61236,c_9003]) ).
tcf(c_61284,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_61235,c_9003]) ).
tcf(c_61289,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_61237,c_9003]) ).
tcf(c_61295,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_61227,c_9003]) ).
tcf(c_61301,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_61234,c_9003]) ).
tcf(c_61306,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_61233,c_9003]) ).
tcf(c_61311,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_61224,c_41667]) ).
tcf(c_61312,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_61311,c_9003]) ).
tcf(c_61330,plain,
( ssList(cons(sK57,iPr_def_10))
| ~ ssList(iPr_def_12)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_140,c_61243]) ).
tcf(c_61331,plain,
ssList(cons(sK57,iPr_def_10)),
inference(forward_subsumption_resolution,[status(thm)],[c_61330,c_12995,c_8999]) ).
tcf(c_61332,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_61331,c_228]) ).
tcf(c_61333,plain,
hd(app(iPr_def_11,cons(sK57,iPr_def_10))) = sK57,
inference(superposition,[status(thm)],[c_61331,c_19361]) ).
tcf(c_61334,plain,
hd(cons(sK60,cons(sK57,iPr_def_10))) = sK60,
inference(superposition,[status(thm)],[c_61331,c_19068]) ).
tcf(c_61335,plain,
tl(cons(sK60,cons(sK57,iPr_def_10))) = cons(sK57,iPr_def_10),
inference(superposition,[status(thm)],[c_61331,c_19067]) ).
tcf(c_61336,plain,
cons(sK57,app(cons(sK57,iPr_def_10),sK58)) = app(cons(sK57,cons(sK57,iPr_def_10)),sK58),
inference(superposition,[status(thm)],[c_61331,c_37537]) ).
tcf(c_61337,plain,
tl(cons(sK7,cons(sK57,iPr_def_10))) = cons(sK57,iPr_def_10),
inference(superposition,[status(thm)],[c_61331,c_14098]) ).
tcf(c_61338,plain,
tl(cons(sK6,cons(sK57,iPr_def_10))) = cons(sK57,iPr_def_10),
inference(superposition,[status(thm)],[c_61331,c_14097]) ).
tcf(c_61339,plain,
cons(sK57,app(cons(sK57,iPr_def_10),sK59)) = app(cons(sK57,cons(sK57,iPr_def_10)),sK59),
inference(superposition,[status(thm)],[c_61331,c_37536]) ).
tcf(c_61340,plain,
hd(cons(sK7,cons(sK57,iPr_def_10))) = sK7,
inference(superposition,[status(thm)],[c_61331,c_13924]) ).
tcf(c_61341,plain,
hd(cons(sK6,cons(sK57,iPr_def_10))) = sK6,
inference(superposition,[status(thm)],[c_61331,c_13923]) ).
tcf(c_61342,plain,
cons(sK57,app(cons(sK57,iPr_def_10),sK56)) = app(cons(sK57,cons(sK57,iPr_def_10)),sK56),
inference(superposition,[status(thm)],[c_61331,c_37535]) ).
tcf(c_61343,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_61331,c_22705]) ).
tcf(c_61344,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,iPr_def_10)) = tl(app(sK58,cons(sK57,iPr_def_10))) ) ),
inference(superposition,[status(thm)],[c_61331,c_21826]) ).
tcf(c_61345,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,iPr_def_10)) = tl(app(sK59,cons(sK57,iPr_def_10))) ) ),
inference(superposition,[status(thm)],[c_61331,c_21825]) ).
tcf(c_61346,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,iPr_def_10)) = tl(app(sK56,cons(sK57,iPr_def_10))) ) ),
inference(superposition,[status(thm)],[c_61331,c_21824]) ).
tcf(c_61347,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_61331,c_124]) ).
tcf(c_61348,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_61331,c_116]) ).
tcf(c_61349,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_61331,c_108]) ).
tcf(c_61350,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,iPr_def_10))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_61331,c_19350]) ).
tcf(c_61351,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_61331,c_234]) ).
tcf(c_61352,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,iPr_def_10))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_61331,c_19349]) ).
tcf(c_61353,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,iPr_def_10))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_61331,c_19348]) ).
tcf(c_61354,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_61331,c_132]) ).
tcf(c_61355,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_61331,c_233]) ).
tcf(c_61356,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_61331,c_224]) ).
tcf(c_61357,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_61331,c_147]) ).
tcf(c_61358,plain,
tl(cons(sK57,cons(sK57,iPr_def_10))) = cons(sK57,iPr_def_10),
inference(superposition,[status(thm)],[c_61331,c_14117]) ).
tcf(c_61359,plain,
hd(cons(sK57,cons(sK57,iPr_def_10))) = sK57,
inference(superposition,[status(thm)],[c_61331,c_13943]) ).
tcf(c_61360,plain,
( ( cons(sK57,iPr_def_10) = nil )
| ( tl(cons(sK57,iPr_def_10)) = sK52(cons(sK57,iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_61331,c_222]) ).
tcf(c_61361,plain,
( ( cons(sK57,iPr_def_10) = nil )
| ( hd(cons(sK57,iPr_def_10)) = sK51(cons(sK57,iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_61331,c_220]) ).
tcf(c_61362,plain,
( duplicatefreeP(cons(sK57,iPr_def_10))
| ( sK40(cons(sK57,iPr_def_10)) = sK41(cons(sK57,iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_61331,c_123]) ).
tcf(c_61363,plain,
app(cons(sK57,iPr_def_10),nil) = cons(sK57,iPr_def_10),
inference(superposition,[status(thm)],[c_61331,c_232]) ).
tcf(c_61364,plain,
app(nil,cons(sK57,iPr_def_10)) = cons(sK57,iPr_def_10),
inference(superposition,[status(thm)],[c_61331,c_155]) ).
tcf(c_61373,plain,
( ( cons(sK57,iPr_def_10) = nil )
| ( sK51(cons(sK57,iPr_def_10)) = sK57 ) ),
inference(light_normalisation,[status(thm)],[c_61361,c_18642]) ).
tcf(c_61376,plain,
( ( cons(sK57,iPr_def_10) = nil )
| ( sK52(cons(sK57,iPr_def_10)) = iPr_def_10 ) ),
inference(light_normalisation,[status(thm)],[c_61360,c_18641]) ).
tcf(c_61379,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_61342,c_38046]) ).
tcf(c_61380,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_61339,c_41657]) ).
tcf(c_61381,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_61336,c_45250]) ).
tcf(c_61393,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_61355,c_18642]) ).
tcf(c_61400,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_61351,c_18641]) ).
tcf(c_61514,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_61246,c_183]) ).
tcf(c_61515,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_61246,c_184]) ).
tcf(c_61516,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_61246,c_66]) ).
tcf(c_61517,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_61516,c_9003,c_61331]) ).
tcf(c_61520,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_61515,c_9003,c_61331]) ).
tcf(c_61529,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_61249,c_173]) ).
tcf(c_61530,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_61249,c_174]) ).
tcf(c_61531,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_61249,c_63]) ).
tcf(c_61535,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_61531,c_61331]) ).
tcf(c_61538,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_61530,c_61331]) ).
tcf(c_61556,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_47704,c_173]) ).
tcf(c_61557,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_47704,c_174]) ).
tcf(c_61558,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_47704,c_63]) ).
tcf(c_61581,plain,
( ( app(sK58,sK11(app(sK58,sK56),sK58)) = app(sK58,sK56) )
| ~ ssList(sK58)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_153,c_48112]) ).
tcf(c_61582,plain,
app(sK58,sK11(app(sK58,sK56),sK58)) = app(sK58,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_61581,c_9000,c_9004]) ).
tcf(c_61583,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_61582,c_67]) ).
tcf(c_61586,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_61582,c_167]) ).
tcf(c_61587,plain,
( ( nil = sK58 )
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK56),sK58))
| ( app(sK58,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_61582,c_231]) ).
tcf(c_61588,plain,
( ( sK11(app(sK58,sK56),sK58) = nil )
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK56),sK58))
| ( app(sK58,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_61582,c_230]) ).
tcf(c_61589,plain,
( frontsegP(app(sK58,sK56),sK58)
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK56),sK58)) ),
inference(superposition,[status(thm)],[c_61582,c_386]) ).
tcf(c_61590,plain,
( rearsegP(app(sK58,sK56),sK11(app(sK58,sK56),sK58))
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK56),sK58)) ),
inference(superposition,[status(thm)],[c_61582,c_383]) ).
tcf(c_61591,plain,
( ssList(app(sK58,sK56))
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK56),sK58)) ),
inference(superposition,[status(thm)],[c_61582,c_153]) ).
tcf(c_61592,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_61582,c_225]) ).
tcf(c_61593,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_61582,c_226]) ).
tcf(c_61594,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_61582,c_176]) ).
tcf(c_61595,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_61582,c_165]) ).
tcf(c_61596,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_61582,c_193]) ).
tcf(c_61597,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_61582,c_186]) ).
tcf(c_61598,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_61582,c_166]) ).
tcf(c_61599,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_61582,c_26228]) ).
tcf(c_61600,plain,
( ( sK11(app(sK58,sK56),sK58) = nil )
| ~ ssList(sK11(app(sK58,sK56),sK58))
| ( app(sK58,sK56) != sK58 ) ),
inference(superposition,[status(thm)],[c_61582,c_26192]) ).
tcf(c_61601,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_61582,c_26455]) ).
tcf(c_61602,plain,
! [X0: $i] :
( segmentP(app(sK58,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(sK11(app(sK58,sK56),sK58)) ),
inference(superposition,[status(thm)],[c_61582,c_27036]) ).
tcf(c_61603,plain,
! [X0: $i] :
( segmentP(app(sK58,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK58,sK56),sK58)) ),
inference(superposition,[status(thm)],[c_61582,c_27021]) ).
tcf(c_61604,plain,
( ssList(app(sK58,sK56))
| ~ ssList(sK11(app(sK58,sK56),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61591,c_9000]) ).
tcf(c_61607,plain,
( frontsegP(app(sK58,sK56),sK58)
| ~ ssList(sK11(app(sK58,sK56),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61589,c_9000]) ).
tcf(c_61618,plain,
( rearsegP(app(sK58,sK56),sK11(app(sK58,sK56),sK58))
| ~ ssList(sK11(app(sK58,sK56),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61590,c_9000]) ).
tcf(c_61621,plain,
( segmentP(app(sK58,sK56),sK58)
| ~ ssList(app(sK58,sK56))
| ~ ssList(sK11(app(sK58,sK56),sK58)) ),
inference(light_normalisation,[status(thm)],[c_61601,c_61582]) ).
tcf(c_61625,plain,
( ( nil = sK58 )
| ~ ssList(sK11(app(sK58,sK56),sK58))
| ( app(sK58,sK56) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61587,c_9000]) ).
tcf(c_61635,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_61595,c_9000]) ).
tcf(c_61640,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_61594,c_9000]) ).
tcf(c_61645,plain,
( ( sK11(app(sK58,sK56),sK58) = nil )
| ~ ssList(sK11(app(sK58,sK56),sK58))
| ( app(sK58,sK56) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61588,c_9000]) ).
tcf(c_61649,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_61598,c_9000]) ).
tcf(c_61654,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_61597,c_9000]) ).
tcf(c_61659,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_61586,c_9000]) ).
tcf(c_61665,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_61593,c_9000]) ).
tcf(c_61670,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_61592,c_9000]) ).
tcf(c_61675,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_61596,c_9000]) ).
tcf(c_61681,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_61583,c_61582]) ).
tcf(c_61682,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_61681,c_9000]) ).
tcf(c_61709,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_16400,c_130]) ).
tcf(c_61710,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_16400,c_122]) ).
tcf(c_61711,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_16400,c_114]) ).
tcf(c_61712,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_16400,c_130]) ).
tcf(c_61716,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_16400,c_54]) ).
tcf(c_61717,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_16400,c_122]) ).
tcf(c_61718,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_16400,c_114]) ).
tcf(c_61722,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_16400,c_137]) ).
tcf(c_61725,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_16400,c_178]) ).
tcf(c_61726,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_16400,c_179]) ).
tcf(c_61727,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_16400,c_28016]) ).
tcf(c_61728,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_16400,c_27918]) ).
tcf(c_61729,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_16400,c_27763]) ).
tcf(c_61730,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_16400,c_27753]) ).
tcf(c_61731,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_16400,c_26831]) ).
tcf(c_61732,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_16400,c_144]) ).
tcf(c_61733,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_16400,c_143]) ).
tcf(c_61734,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_16400,c_178]) ).
tcf(c_61735,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_16400,c_179]) ).
tcf(c_61736,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_16400,c_170]) ).
tcf(c_61737,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_16400,c_214]) ).
tcf(c_61738,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_16400,c_208]) ).
tcf(c_61739,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_16400,c_213]) ).
tcf(c_61740,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_16400,c_207]) ).
tcf(c_61742,plain,
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58)))
| ( tl(tl(sK58)) != tl(sK58) ) ),
inference(superposition,[status(thm)],[c_16400,c_142]) ).
tcf(c_61743,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_16400,c_168]) ).
tcf(c_61745,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_16400,c_177]) ).
tcf(c_61746,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_16400,c_169]) ).
tcf(c_61747,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_16400,c_177]) ).
tcf(c_62049,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_42782,c_67]) ).
tcf(c_62055,plain,
( frontsegP(cons(sK57,sK59),cons(sK57,sK59))
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_42782,c_386]) ).
tcf(c_62056,plain,
( rearsegP(cons(sK57,sK59),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_42782,c_383]) ).
tcf(c_62058,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_42782,c_225]) ).
tcf(c_62059,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_42782,c_226]) ).
tcf(c_62062,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_42782,c_193]) ).
tcf(c_62063,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK59),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_42782,c_186]) ).
tcf(c_62068,plain,
( segmentP(cons(sK57,sK59),sK59)
| ~ ssList(nil)
| ~ ssList(app(cons(sK57,sK59),nil)) ),
inference(superposition,[status(thm)],[c_42782,c_42717]) ).
tcf(c_62069,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK59),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_42782,c_42711]) ).
tcf(c_62070,plain,
rearsegP(cons(sK57,sK59),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_62056,c_141,c_42671]) ).
tcf(c_62071,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62069,c_141]) ).
tcf(c_62075,plain,
( segmentP(cons(sK57,sK59),sK59)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(light_normalisation,[status(thm)],[c_62068,c_42782]) ).
tcf(c_62076,plain,
segmentP(cons(sK57,sK59),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_62075,c_141,c_42671]) ).
tcf(c_62077,plain,
frontsegP(cons(sK57,sK59),cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_62055,c_141,c_42671]) ).
tcf(c_62078,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK59),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62063,c_141,c_42671]) ).
tcf(c_62082,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_62062,c_141,c_42671]) ).
tcf(c_62087,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(cons(sK57,sK59),X0) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62059,c_141,c_42671]) ).
tcf(c_62091,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62058,c_141,c_42671]) ).
tcf(c_62095,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_62049,c_42782]) ).
tcf(c_62096,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_62095,c_141,c_42671]) ).
tcf(c_62192,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59))
| ~ rearsegP(nil,cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_62070,c_184]) ).
tcf(c_62193,plain,
( ( app(sK12(cons(sK57,sK59),nil),nil) = cons(sK57,sK59) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_62070,c_66]) ).
tcf(c_62194,plain,
app(sK12(cons(sK57,sK59),nil),nil) = cons(sK57,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_62193,c_141,c_42671]) ).
tcf(c_62195,plain,
~ rearsegP(nil,cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_62192,c_42681,c_141,c_42671]) ).
tcf(c_62205,plain,
( ( app(cons(sK57,sK59),sK11(cons(sK57,sK59),cons(sK57,sK59))) = cons(sK57,sK59) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_62077,c_63]) ).
tcf(c_62208,plain,
app(cons(sK57,sK59),sK11(cons(sK57,sK59),cons(sK57,sK59))) = cons(sK57,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_62205,c_42671]) ).
tcf(c_62209,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_62076,c_70]) ).
tcf(c_62210,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK59),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_62076,c_190]) ).
tcf(c_62211,plain,
( ( cons(sK57,sK59) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59))
| ~ segmentP(sK59,cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_62076,c_191]) ).
tcf(c_62212,plain,
~ segmentP(sK59,cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_62211,c_42674,c_9003,c_42671]) ).
tcf(c_62214,plain,
app(app(sK13(cons(sK57,sK59),sK59),sK59),sK14(cons(sK57,sK59),sK59)) = cons(sK57,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_62209,c_9003,c_42671]) ).
tcf(c_62217,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_61333,c_223]) ).
tcf(c_62218,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_61333,c_212]) ).
tcf(c_62219,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_61333,c_206]) ).
tcf(c_62243,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_61334,c_223]) ).
tcf(c_62244,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_61334,c_212]) ).
tcf(c_62245,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_61334,c_206]) ).
tcf(c_62258,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_62243,c_61335]) ).
tcf(c_62330,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_61618,c_183]) ).
tcf(c_62331,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_61618,c_184]) ).
tcf(c_62332,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_61618,c_66]) ).
tcf(c_62400,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_48119,c_173]) ).
tcf(c_62401,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_48119,c_174]) ).
tcf(c_62402,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_48119,c_63]) ).
tcf(c_62467,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_49566]) ).
tcf(c_62468,plain,
app(sK12(sK58,sK11(sK58,nil)),sK11(sK58,nil)) = sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_62467,c_9000,c_141,c_13743]) ).
tcf(c_62469,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_62468,c_67]) ).
tcf(c_62472,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_62468,c_167]) ).
tcf(c_62473,plain,
( ( sK12(sK58,sK11(sK58,nil)) = nil )
| ~ ssList(sK11(sK58,nil))
| ~ ssList(sK12(sK58,sK11(sK58,nil)))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_62468,c_231]) ).
tcf(c_62474,plain,
( ( sK11(sK58,nil) = nil )
| ~ ssList(sK11(sK58,nil))
| ~ ssList(sK12(sK58,sK11(sK58,nil)))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_62468,c_230]) ).
tcf(c_62475,plain,
( frontsegP(sK58,sK12(sK58,sK11(sK58,nil)))
| ~ ssList(sK11(sK58,nil))
| ~ ssList(sK12(sK58,sK11(sK58,nil))) ),
inference(superposition,[status(thm)],[c_62468,c_386]) ).
tcf(c_62478,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_62468,c_225]) ).
tcf(c_62479,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_62468,c_226]) ).
tcf(c_62480,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_62468,c_176]) ).
tcf(c_62481,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_62468,c_165]) ).
tcf(c_62583,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_49581]) ).
tcf(c_62584,plain,
app(sK12(sK59,sK11(sK59,nil)),sK11(sK59,nil)) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_62583,c_9003,c_141,c_13744]) ).
tcf(c_62585,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_62584,c_67]) ).
tcf(c_62588,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_62584,c_167]) ).
tcf(c_62589,plain,
( ( sK12(sK59,sK11(sK59,nil)) = nil )
| ~ ssList(sK11(sK59,nil))
| ~ ssList(sK12(sK59,sK11(sK59,nil)))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_62584,c_231]) ).
tcf(c_62590,plain,
( ( sK11(sK59,nil) = nil )
| ~ ssList(sK11(sK59,nil))
| ~ ssList(sK12(sK59,sK11(sK59,nil)))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_62584,c_230]) ).
tcf(c_62591,plain,
( frontsegP(sK59,sK12(sK59,sK11(sK59,nil)))
| ~ ssList(sK11(sK59,nil))
| ~ ssList(sK12(sK59,sK11(sK59,nil))) ),
inference(superposition,[status(thm)],[c_62584,c_386]) ).
tcf(c_62594,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_62584,c_225]) ).
tcf(c_62595,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_62584,c_226]) ).
tcf(c_62596,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_62584,c_176]) ).
tcf(c_62597,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_62584,c_165]) ).
tcf(c_62805,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_42783,c_122]) ).
tcf(c_62806,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_42783,c_114]) ).
tcf(c_62807,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_42783,c_130]) ).
tcf(c_62811,plain,
( memberP(cons(sK57,sK59),sK57)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(app(nil,cons(sK57,sK59))) ),
inference(superposition,[status(thm)],[c_42783,c_54]) ).
tcf(c_62812,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_42783,c_67]) ).
tcf(c_62818,plain,
( frontsegP(cons(sK57,sK59),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_42783,c_386]) ).
tcf(c_62819,plain,
( rearsegP(cons(sK57,sK59),cons(sK57,sK59))
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_42783,c_383]) ).
tcf(c_62821,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_42783,c_225]) ).
tcf(c_62825,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_42783,c_226]) ).
tcf(c_62826,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK59),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_42783,c_176]) ).
tcf(c_62828,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_42783,c_193]) ).
tcf(c_62831,plain,
frontsegP(cons(sK57,sK59),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_62818,c_141,c_42671]) ).
tcf(c_62832,plain,
rearsegP(cons(sK57,sK59),cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_62819,c_141,c_42671]) ).
tcf(c_62833,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62826,c_141,c_42671]) ).
tcf(c_62837,plain,
( memberP(cons(sK57,sK59),sK57)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,sK59)) ),
inference(light_normalisation,[status(thm)],[c_62811,c_42783]) ).
tcf(c_62838,plain,
memberP(cons(sK57,sK59),sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_62837,c_9003,c_141,c_8999,c_42671]) ).
tcf(c_62839,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62825,c_141,c_42671]) ).
tcf(c_62843,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,cons(sK57,sK59)) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62821,c_141,c_42671]) ).
tcf(c_62847,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_62828,c_141,c_42671]) ).
tcf(c_62852,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_62812,c_42783]) ).
tcf(c_62853,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_62852,c_141,c_42671]) ).
tcf(c_62875,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_62807,c_42783]) ).
tcf(c_62876,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_62875,c_9003,c_141,c_8999]) ).
tcf(c_62880,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_62806,c_42783]) ).
tcf(c_62881,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_62880,c_9003,c_141,c_8999]) ).
tcf(c_62887,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_62805,c_42783]) ).
tcf(c_62888,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_62887,c_9003,c_141,c_8999]) ).
tcf(c_62974,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59))
| ~ frontsegP(nil,cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_62831,c_174]) ).
tcf(c_62975,plain,
( ( app(nil,sK11(cons(sK57,sK59),nil)) = cons(sK57,sK59) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_62831,c_63]) ).
tcf(c_62976,plain,
app(nil,sK11(cons(sK57,sK59),nil)) = cons(sK57,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_62975,c_141,c_42671]) ).
tcf(c_62977,plain,
~ frontsegP(nil,cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_62974,c_42681,c_141,c_42671]) ).
tcf(c_62978,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_62838,c_57]) ).
tcf(c_62979,plain,
( ( app(nil,sK8(cons(sK57,sK59),sK57)) = sK8(cons(sK57,sK59),sK57) )
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_62838,c_12668]) ).
tcf(c_62982,plain,
app(nil,sK8(cons(sK57,sK59),sK57)) = sK8(cons(sK57,sK59),sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_62979,c_8999,c_42671]) ).
tcf(c_62983,plain,
app(sK8(cons(sK57,sK59),sK57),cons(sK57,sK9(cons(sK57,sK59),sK57))) = cons(sK57,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_62978,c_8999,c_42671]) ).
tcf(c_62986,plain,
( ( app(sK12(cons(sK57,sK59),cons(sK57,sK59)),cons(sK57,sK59)) = cons(sK57,sK59) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_62832,c_66]) ).
tcf(c_62987,plain,
app(sK12(cons(sK57,sK59),cons(sK57,sK59)),cons(sK57,sK59)) = cons(sK57,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_62986,c_42671]) ).
tcf(c_62990,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_61340,c_223]) ).
tcf(c_62991,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_61340,c_212]) ).
tcf(c_62992,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_61340,c_206]) ).
tcf(c_63005,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_62990,c_61337]) ).
tcf(c_63017,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_61341,c_223]) ).
tcf(c_63018,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_61341,c_212]) ).
tcf(c_63019,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_61341,c_206]) ).
tcf(c_63032,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_63017,c_61338]) ).
tcf(c_63044,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_61359,c_223]) ).
tcf(c_63045,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_61359,c_212]) ).
tcf(c_63046,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_61359,c_206]) ).
tcf(c_63059,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_63044,c_61358]) ).
tcf(c_63095,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_62982,c_67]) ).
tcf(c_63101,plain,
( frontsegP(sK8(cons(sK57,sK59),sK57),nil)
| ~ ssList(nil)
| ~ ssList(sK8(cons(sK57,sK59),sK57)) ),
inference(superposition,[status(thm)],[c_62982,c_386]) ).
tcf(c_63102,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_62982,c_383]) ).
tcf(c_63104,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_62982,c_225]) ).
tcf(c_63108,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_62982,c_226]) ).
tcf(c_63109,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_62982,c_176]) ).
tcf(c_63111,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_62982,c_193]) ).
tcf(c_63114,plain,
( frontsegP(sK8(cons(sK57,sK59),sK57),nil)
| ~ ssList(sK8(cons(sK57,sK59),sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63101,c_141]) ).
tcf(c_63117,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_63102,c_141]) ).
tcf(c_63120,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_63109,c_141]) ).
tcf(c_63125,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_63108,c_141]) ).
tcf(c_63130,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_63104,c_141]) ).
tcf(c_63135,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_63111,c_141]) ).
tcf(c_63141,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_63095,c_62982]) ).
tcf(c_63142,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_63141,c_141]) ).
tcf(c_63154,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_49593]) ).
tcf(c_63155,plain,
app(sK12(sK56,sK11(sK56,nil)),sK11(sK56,nil)) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_63154,c_9004,c_141,c_13745]) ).
tcf(c_63156,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_63155,c_67]) ).
tcf(c_63159,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_63155,c_167]) ).
tcf(c_63160,plain,
( ( sK12(sK56,sK11(sK56,nil)) = nil )
| ~ ssList(sK11(sK56,nil))
| ~ ssList(sK12(sK56,sK11(sK56,nil)))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_63155,c_231]) ).
tcf(c_63161,plain,
( ( sK11(sK56,nil) = nil )
| ~ ssList(sK11(sK56,nil))
| ~ ssList(sK12(sK56,sK11(sK56,nil)))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_63155,c_230]) ).
tcf(c_63162,plain,
( frontsegP(sK56,sK12(sK56,sK11(sK56,nil)))
| ~ ssList(sK11(sK56,nil))
| ~ ssList(sK12(sK56,sK11(sK56,nil))) ),
inference(superposition,[status(thm)],[c_63155,c_386]) ).
tcf(c_63165,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_63155,c_225]) ).
tcf(c_63166,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_63155,c_226]) ).
tcf(c_63167,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_63155,c_176]) ).
tcf(c_63168,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_63155,c_165]) ).
tcf(c_63218,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_50152]) ).
tcf(c_63219,plain,
app(sK12(sK58,nil),sK11(sK58,sK12(sK58,nil))) = sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_63218,c_9000,c_141,c_13609]) ).
tcf(c_63220,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_63219,c_67]) ).
tcf(c_63223,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_63219,c_167]) ).
tcf(c_63224,plain,
( ( sK12(sK58,nil) = nil )
| ~ ssList(sK12(sK58,nil))
| ~ ssList(sK11(sK58,sK12(sK58,nil)))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_63219,c_231]) ).
tcf(c_63225,plain,
( ( sK11(sK58,sK12(sK58,nil)) = nil )
| ~ ssList(sK12(sK58,nil))
| ~ ssList(sK11(sK58,sK12(sK58,nil)))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_63219,c_230]) ).
tcf(c_63227,plain,
( rearsegP(sK58,sK11(sK58,sK12(sK58,nil)))
| ~ ssList(sK12(sK58,nil))
| ~ ssList(sK11(sK58,sK12(sK58,nil))) ),
inference(superposition,[status(thm)],[c_63219,c_383]) ).
tcf(c_63229,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_63219,c_225]) ).
tcf(c_63230,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_63219,c_226]) ).
tcf(c_63233,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_63219,c_193]) ).
tcf(c_63234,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_63219,c_186]) ).
tcf(c_63235,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_63219,c_166]) ).
tcf(c_63279,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_63220,c_63219]) ).
tcf(c_63321,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_50164]) ).
tcf(c_63322,plain,
app(sK12(sK59,nil),sK11(sK59,sK12(sK59,nil))) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_63321,c_9003,c_141,c_13610]) ).
tcf(c_63323,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_63322,c_67]) ).
tcf(c_63326,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_63322,c_167]) ).
tcf(c_63327,plain,
( ( sK12(sK59,nil) = nil )
| ~ ssList(sK12(sK59,nil))
| ~ ssList(sK11(sK59,sK12(sK59,nil)))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_63322,c_231]) ).
tcf(c_63328,plain,
( ( sK11(sK59,sK12(sK59,nil)) = nil )
| ~ ssList(sK12(sK59,nil))
| ~ ssList(sK11(sK59,sK12(sK59,nil)))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_63322,c_230]) ).
tcf(c_63330,plain,
( rearsegP(sK59,sK11(sK59,sK12(sK59,nil)))
| ~ ssList(sK12(sK59,nil))
| ~ ssList(sK11(sK59,sK12(sK59,nil))) ),
inference(superposition,[status(thm)],[c_63322,c_383]) ).
tcf(c_63332,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_63322,c_225]) ).
tcf(c_63333,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_63322,c_226]) ).
tcf(c_63336,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_63322,c_193]) ).
tcf(c_63337,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_63322,c_186]) ).
tcf(c_63338,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_63322,c_166]) ).
tcf(c_63382,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_63323,c_63322]) ).
tcf(c_63398,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_50176]) ).
tcf(c_63399,plain,
app(sK12(sK56,nil),sK11(sK56,sK12(sK56,nil))) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_63398,c_9004,c_141,c_13611]) ).
tcf(c_63400,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_46064,c_67]) ).
tcf(c_63406,plain,
( frontsegP(cons(sK57,sK58),cons(sK57,sK58))
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_46064,c_386]) ).
tcf(c_63407,plain,
( rearsegP(cons(sK57,sK58),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_46064,c_383]) ).
tcf(c_63409,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_46064,c_225]) ).
tcf(c_63410,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_46064,c_226]) ).
tcf(c_63413,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_46064,c_193]) ).
tcf(c_63414,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK58),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_46064,c_186]) ).
tcf(c_63419,plain,
( segmentP(cons(sK57,sK58),sK58)
| ~ ssList(nil)
| ~ ssList(app(cons(sK57,sK58),nil)) ),
inference(superposition,[status(thm)],[c_46064,c_45979]) ).
tcf(c_63420,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK58),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_46064,c_45973]) ).
tcf(c_63421,plain,
rearsegP(cons(sK57,sK58),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_63407,c_141,c_45936]) ).
tcf(c_63422,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK58),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63420,c_141]) ).
tcf(c_63426,plain,
( segmentP(cons(sK57,sK58),sK58)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK58)) ),
inference(light_normalisation,[status(thm)],[c_63419,c_46064]) ).
tcf(c_63427,plain,
segmentP(cons(sK57,sK58),sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_63426,c_141,c_45936]) ).
tcf(c_63428,plain,
frontsegP(cons(sK57,sK58),cons(sK57,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_63406,c_141,c_45936]) ).
tcf(c_63429,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK58),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63414,c_141,c_45936]) ).
tcf(c_63433,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_63413,c_141,c_45936]) ).
tcf(c_63438,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(cons(sK57,sK58),X0) != cons(sK57,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63410,c_141,c_45936]) ).
tcf(c_63442,plain,
! [X0: $i] :
( ( cons(sK57,sK58) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != cons(sK57,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63409,c_141,c_45936]) ).
tcf(c_63446,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_63400,c_46064]) ).
tcf(c_63447,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_63446,c_141,c_45936]) ).
tcf(c_63489,plain,
( ( cons(sK57,sK58) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK58))
| ~ rearsegP(nil,cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_63421,c_184]) ).
tcf(c_63490,plain,
( ( app(sK12(cons(sK57,sK58),nil),nil) = cons(sK57,sK58) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_63421,c_66]) ).
tcf(c_63491,plain,
app(sK12(cons(sK57,sK58),nil),nil) = cons(sK57,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_63490,c_141,c_45936]) ).
tcf(c_63492,plain,
~ rearsegP(nil,cons(sK57,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_63489,c_45943,c_141,c_45936]) ).
tcf(c_63495,plain,
( ( app(cons(sK57,sK58),sK11(cons(sK57,sK58),cons(sK57,sK58))) = cons(sK57,sK58) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_63428,c_63]) ).
tcf(c_63498,plain,
app(cons(sK57,sK58),sK11(cons(sK57,sK58),cons(sK57,sK58))) = cons(sK57,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_63495,c_45936]) ).
tcf(c_63499,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_63427,c_70]) ).
tcf(c_63500,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK58),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_63427,c_190]) ).
tcf(c_63501,plain,
( ( cons(sK57,sK58) = sK58 )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK58))
| ~ segmentP(sK58,cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_63427,c_191]) ).
tcf(c_63502,plain,
~ segmentP(sK58,cons(sK57,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_63501,c_45939,c_9000,c_45936]) ).
tcf(c_63504,plain,
app(app(sK13(cons(sK57,sK58),sK58),sK58),sK14(cons(sK57,sK58),sK58)) = cons(sK57,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_63499,c_9000,c_45936]) ).
tcf(c_63505,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_46065,c_122]) ).
tcf(c_63506,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_46065,c_114]) ).
tcf(c_63507,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_46065,c_130]) ).
tcf(c_63511,plain,
( memberP(cons(sK57,sK58),sK57)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(app(nil,cons(sK57,sK58))) ),
inference(superposition,[status(thm)],[c_46065,c_54]) ).
tcf(c_63512,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_46065,c_67]) ).
tcf(c_63518,plain,
( frontsegP(cons(sK57,sK58),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_46065,c_386]) ).
tcf(c_63519,plain,
( rearsegP(cons(sK57,sK58),cons(sK57,sK58))
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_46065,c_383]) ).
tcf(c_63521,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_46065,c_225]) ).
tcf(c_63525,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_46065,c_226]) ).
tcf(c_63526,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK58),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_46065,c_176]) ).
tcf(c_63528,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_46065,c_193]) ).
tcf(c_63531,plain,
frontsegP(cons(sK57,sK58),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_63518,c_141,c_45936]) ).
tcf(c_63532,plain,
rearsegP(cons(sK57,sK58),cons(sK57,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_63519,c_141,c_45936]) ).
tcf(c_63533,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK58),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63526,c_141,c_45936]) ).
tcf(c_63537,plain,
( memberP(cons(sK57,sK58),sK57)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,sK58)) ),
inference(light_normalisation,[status(thm)],[c_63511,c_46065]) ).
tcf(c_63538,plain,
memberP(cons(sK57,sK58),sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_63537,c_9000,c_141,c_8999,c_45936]) ).
tcf(c_63539,plain,
! [X0: $i] :
( ( cons(sK57,sK58) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != cons(sK57,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63525,c_141,c_45936]) ).
tcf(c_63543,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,cons(sK57,sK58)) != cons(sK57,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63521,c_141,c_45936]) ).
tcf(c_63547,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_63528,c_141,c_45936]) ).
tcf(c_63552,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_63512,c_46065]) ).
tcf(c_63553,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_63552,c_141,c_45936]) ).
tcf(c_63575,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_63507,c_46065]) ).
tcf(c_63576,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_63575,c_9000,c_141,c_8999]) ).
tcf(c_63580,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_63506,c_46065]) ).
tcf(c_63581,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_63580,c_9000,c_141,c_8999]) ).
tcf(c_63587,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_63505,c_46065]) ).
tcf(c_63588,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_63587,c_9000,c_141,c_8999]) ).
tcf(c_63629,plain,
( ( cons(sK57,sK58) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK58))
| ~ frontsegP(nil,cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_63531,c_174]) ).
tcf(c_63630,plain,
( ( app(nil,sK11(cons(sK57,sK58),nil)) = cons(sK57,sK58) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_63531,c_63]) ).
tcf(c_63631,plain,
app(nil,sK11(cons(sK57,sK58),nil)) = cons(sK57,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_63630,c_141,c_45936]) ).
tcf(c_63632,plain,
~ frontsegP(nil,cons(sK57,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_63629,c_45943,c_141,c_45936]) ).
tcf(c_63633,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_63538,c_57]) ).
tcf(c_63634,plain,
( ( app(nil,sK8(cons(sK57,sK58),sK57)) = sK8(cons(sK57,sK58),sK57) )
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_63538,c_12668]) ).
tcf(c_63637,plain,
app(nil,sK8(cons(sK57,sK58),sK57)) = sK8(cons(sK57,sK58),sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_63634,c_8999,c_45936]) ).
tcf(c_63638,plain,
app(sK8(cons(sK57,sK58),sK57),cons(sK57,sK9(cons(sK57,sK58),sK57))) = cons(sK57,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_63633,c_8999,c_45936]) ).
tcf(c_63639,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_63399,c_67]) ).
tcf(c_63642,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_63399,c_167]) ).
tcf(c_63643,plain,
( ( sK12(sK56,nil) = nil )
| ~ ssList(sK12(sK56,nil))
| ~ ssList(sK11(sK56,sK12(sK56,nil)))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_63399,c_231]) ).
tcf(c_63644,plain,
( ( sK11(sK56,sK12(sK56,nil)) = nil )
| ~ ssList(sK12(sK56,nil))
| ~ ssList(sK11(sK56,sK12(sK56,nil)))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_63399,c_230]) ).
tcf(c_63646,plain,
( rearsegP(sK56,sK11(sK56,sK12(sK56,nil)))
| ~ ssList(sK12(sK56,nil))
| ~ ssList(sK11(sK56,sK12(sK56,nil))) ),
inference(superposition,[status(thm)],[c_63399,c_383]) ).
tcf(c_63648,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_63399,c_225]) ).
tcf(c_63649,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_63399,c_226]) ).
tcf(c_63652,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_63399,c_193]) ).
tcf(c_63653,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_63399,c_186]) ).
tcf(c_63654,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_63399,c_166]) ).
tcf(c_63698,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_63639,c_63399]) ).
tcf(c_63733,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_63637,c_67]) ).
tcf(c_63739,plain,
( frontsegP(sK8(cons(sK57,sK58),sK57),nil)
| ~ ssList(nil)
| ~ ssList(sK8(cons(sK57,sK58),sK57)) ),
inference(superposition,[status(thm)],[c_63637,c_386]) ).
tcf(c_63740,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_63637,c_383]) ).
tcf(c_63742,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_63637,c_225]) ).
tcf(c_63746,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_63637,c_226]) ).
tcf(c_63747,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_63637,c_176]) ).
tcf(c_63749,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_63637,c_193]) ).
tcf(c_63752,plain,
( frontsegP(sK8(cons(sK57,sK58),sK57),nil)
| ~ ssList(sK8(cons(sK57,sK58),sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63739,c_141]) ).
tcf(c_63755,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_63740,c_141]) ).
tcf(c_63758,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_63747,c_141]) ).
tcf(c_63763,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_63746,c_141]) ).
tcf(c_63768,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_63742,c_141]) ).
tcf(c_63773,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_63749,c_141]) ).
tcf(c_63779,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_63733,c_63637]) ).
tcf(c_63780,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_63779,c_141]) ).
tcf(c_63840,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_61265,c_57]) ).
tcf(c_63841,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_61265,c_12668]) ).
tcf(c_63842,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_61265,c_170]) ).
tcf(c_63843,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_63842,c_18402,c_8999]) ).
tcf(c_63849,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_63841,c_61331]) ).
tcf(c_63854,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_63840,c_61331]) ).
tcf(c_63870,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_61270,c_183]) ).
tcf(c_63871,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_61270,c_184]) ).
tcf(c_63872,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_61270,c_66]) ).
tcf(c_63873,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_63872,c_61331]) ).
tcf(c_63878,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_63871,c_61331]) ).
tcf(c_63884,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_63870,c_61331]) ).
tcf(c_63898,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_61517]) ).
tcf(c_63899,plain,
app(sK12(cons(sK57,iPr_def_10),sK59),sK59) = cons(sK57,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_63898,c_12995,c_8999]) ).
tcf(c_63902,plain,
( ( app(sK12(cons(sK57,sK58),cons(sK57,sK58)),cons(sK57,sK58)) = cons(sK57,sK58) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_63532,c_66]) ).
tcf(c_63903,plain,
app(sK12(cons(sK57,sK58),cons(sK57,sK58)),cons(sK57,sK58)) = cons(sK57,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_63902,c_45936]) ).
tcf(c_63947,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_49578,c_183]) ).
tcf(c_63948,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_49578,c_184]) ).
tcf(c_63949,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_49578,c_66]) ).
tcf(c_63950,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_63949,c_18402]) ).
tcf(c_63953,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_63948,c_18402]) ).
tcf(c_63957,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_63947,c_18402]) ).
tcf(c_63966,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_50149,c_173]) ).
tcf(c_63967,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_50149,c_174]) ).
tcf(c_63968,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_50149,c_63]) ).
tcf(c_63970,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_63968,c_12995]) ).
tcf(c_63973,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_63967,c_12995]) ).
tcf(c_63977,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_63966,c_12995]) ).
tcf(c_64043,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_63899,c_67]) ).
tcf(c_64046,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_63899,c_167]) ).
tcf(c_64047,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_63899,c_231]) ).
tcf(c_64048,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59))
| ( cons(sK57,iPr_def_10) != nil ) ),
inference(superposition,[status(thm)],[c_63899,c_230]) ).
tcf(c_64049,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_63899,c_386]) ).
tcf(c_64050,plain,
( rearsegP(cons(sK57,iPr_def_10),sK59)
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59)) ),
inference(superposition,[status(thm)],[c_63899,c_383]) ).
tcf(c_64052,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_63899,c_225]) ).
tcf(c_64053,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_63899,c_226]) ).
tcf(c_64054,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_63899,c_176]) ).
tcf(c_64055,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_63899,c_165]) ).
tcf(c_64056,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_63899,c_193]) ).
tcf(c_64057,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_63899,c_186]) ).
tcf(c_64058,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_63899,c_166]) ).
tcf(c_64059,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_63899,c_42707]) ).
tcf(c_64060,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_63899,c_25424]) ).
tcf(c_64061,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_63899,c_25408]) ).
tcf(c_64062,plain,
( rearsegP(cons(sK57,iPr_def_10),sK59)
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64050,c_9003]) ).
tcf(c_64065,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_64049,c_9003]) ).
tcf(c_64068,plain,
( ( nil = sK59 )
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59))
| ( cons(sK57,iPr_def_10) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64048,c_9003]) ).
tcf(c_64078,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_64058,c_9003]) ).
tcf(c_64083,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_64057,c_9003]) ).
tcf(c_64091,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_64047,c_9003]) ).
tcf(c_64095,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_64055,c_9003]) ).
tcf(c_64100,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_64054,c_9003]) ).
tcf(c_64105,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_64056,c_9003]) ).
tcf(c_64111,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_64046,c_9003]) ).
tcf(c_64117,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_64053,c_9003]) ).
tcf(c_64122,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_64052,c_9003]) ).
tcf(c_64127,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_64043,c_63899]) ).
tcf(c_64128,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_64127,c_9003]) ).
tcf(c_64174,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_64065,c_173]) ).
tcf(c_64175,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_64065,c_174]) ).
tcf(c_64176,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_64065,c_63]) ).
tcf(c_64178,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_64176,c_61331]) ).
tcf(c_64181,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_64175,c_61331]) ).
tcf(c_64220,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_23049]) ).
tcf(c_64221,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_23049]) ).
tcf(c_64222,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_23049]) ).
tcf(c_64223,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_23049]) ).
tcf(c_64224,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_23049]) ).
tcf(c_64225,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_23049]) ).
tcf(c_64226,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_23049]) ).
tcf(c_64236,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_23049]) ).
tcf(c_64237,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_23049]) ).
tcf(c_64238,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_23049]) ).
tcf(c_64239,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_23049]) ).
tcf(c_64240,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_23049]) ).
tcf(c_64241,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_23049]) ).
tcf(c_64242,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_23049]) ).
tcf(c_64243,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_23049]) ).
tcf(c_64244,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_23049]) ).
tcf(c_64245,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_23049]) ).
tcf(c_64246,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_23049]) ).
tcf(c_64247,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_23049]) ).
tcf(c_64248,plain,
! [X0: $i] :
( ( app(app(nil,X0),sK56) = app(nil,app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_141,c_23049]) ).
tcf(c_64249,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_23049]) ).
tcf(c_64250,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_23049]) ).
tcf(c_64251,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_23049]) ).
tcf(c_64252,plain,
! [X0: $i] :
( ( app(app(sK56,X0),sK56) = app(sK56,app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9004,c_23049]) ).
tcf(c_64253,plain,
! [X0: $i] :
( ( app(app(sK59,X0),sK56) = app(sK59,app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9003,c_23049]) ).
tcf(c_64254,plain,
! [X0: $i] :
( ( app(app(sK58,X0),sK56) = app(sK58,app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9000,c_23049]) ).
tcf(c_64255,plain,
! [X0: $i] :
( ( app(app(iPr_def_12,X0),sK56) = app(iPr_def_12,app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12995,c_23049]) ).
tcf(c_64256,plain,
! [X0: $i] :
( ( app(app(iPr_def_11,X0),sK56) = app(iPr_def_11,app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12859,c_23049]) ).
tcf(c_64257,plain,
! [X0: $i] :
( ( app(app(iPr_def_10,X0),sK56) = app(iPr_def_10,app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_18402,c_23049]) ).
tcf(c_64258,plain,
! [X0: $i] :
( ( app(app(cons(sK57,sK56),X0),sK56) = app(cons(sK57,sK56),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_38969,c_23049]) ).
tcf(c_64259,plain,
! [X0: $i] :
( ( app(app(cons(sK57,sK59),X0),sK56) = app(cons(sK57,sK59),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_42671,c_23049]) ).
tcf(c_64260,plain,
! [X0: $i] :
( ( app(app(cons(sK57,sK58),X0),sK56) = app(cons(sK57,sK58),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45936,c_23049]) ).
tcf(c_64261,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( app(app(tl(sK56),X0),sK56) = app(tl(sK56),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15456,c_23049]) ).
tcf(c_64262,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( app(app(tl(sK59),X0),sK56) = app(tl(sK59),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15493,c_23049]) ).
tcf(c_64263,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( app(app(tl(sK58),X0),sK56) = app(tl(sK58),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15877,c_23049]) ).
tcf(c_64264,plain,
! [X0: $i] :
( ( app(app(tl(iPr_def_12),X0),sK56) = app(tl(iPr_def_12),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_19130,c_23049]) ).
tcf(c_64265,plain,
! [X0: $i] :
( ( app(app(cons(sK57,iPr_def_10),X0),sK56) = app(cons(sK57,iPr_def_10),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_61331,c_23049]) ).
tcf(c_64266,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK56,sK56)),X0),sK56) = app(cons(sK57,app(sK56,sK56)),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_39016,c_23049]) ).
tcf(c_64267,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK59,sK56)),X0),sK56) = app(cons(sK57,app(sK59,sK56)),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_42723,c_23049]) ).
tcf(c_64268,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK58,sK56)),X0),sK56) = app(cons(sK57,app(sK58,sK56)),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45988,c_23049]) ).
tcf(c_64269,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK56,sK59)),X0),sK56) = app(cons(sK57,app(sK56,sK59)),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_41916,c_23049]) ).
tcf(c_64270,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK59,sK59)),X0),sK56) = app(cons(sK57,app(sK59,sK59)),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_43373,c_23049]) ).
tcf(c_64271,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK58,sK59)),X0),sK56) = app(cons(sK57,app(sK58,sK59)),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45985,c_23049]) ).
tcf(c_64272,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK56,sK58)),X0),sK56) = app(cons(sK57,app(sK56,sK58)),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45632,c_23049]) ).
tcf(c_64273,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK59,sK58)),X0),sK56) = app(cons(sK57,app(sK59,sK58)),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_46645,c_23049]) ).
tcf(c_64274,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK58,sK58)),X0),sK56) = app(cons(sK57,app(sK58,sK58)),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_47111,c_23049]) ).
tcf(c_64773,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK56,sK8(X0,X1)),sK56) = app(sK56,app(sK8(X0,X1),sK56)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_64252]) ).
tcf(c_64774,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK56,sK9(X0,X1)),sK56) = app(sK56,app(sK9(X0,X1),sK56)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_64252]) ).
tcf(c_64775,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK56,app(X0,X1)),sK56) = app(sK56,app(app(X0,X1),sK56)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_64252]) ).
tcf(c_64776,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK56,sK11(X0,X1)),sK56) = app(sK56,app(sK11(X0,X1),sK56)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_64252]) ).
tcf(c_64777,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK56,sK12(X0,X1)),sK56) = app(sK56,app(sK12(X0,X1),sK56)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_64252]) ).
tcf(c_64778,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK56,sK13(X0,X1)),sK56) = app(sK56,app(sK13(X0,X1),sK56)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_64252]) ).
tcf(c_64779,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK56,sK14(X0,X1)),sK56) = app(sK56,app(sK14(X0,X1),sK56)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_64252]) ).
tcf(c_64789,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK56,sK34(X0)),sK56) = app(sK56,app(sK34(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_64252]) ).
tcf(c_64790,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK56,sK33(X0)),sK56) = app(sK56,app(sK33(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_64252]) ).
tcf(c_64791,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK56,sK32(X0)),sK56) = app(sK56,app(sK32(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_64252]) ).
tcf(c_64792,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK56,sK39(X0)),sK56) = app(sK56,app(sK39(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_64252]) ).
tcf(c_64793,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK56,sK38(X0)),sK56) = app(sK56,app(sK38(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_64252]) ).
tcf(c_64794,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK56,sK37(X0)),sK56) = app(sK56,app(sK37(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_64252]) ).
tcf(c_64795,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK56,sK44(X0)),sK56) = app(sK56,app(sK44(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_64252]) ).
tcf(c_64796,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK56,sK43(X0)),sK56) = app(sK56,app(sK43(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_64252]) ).
tcf(c_64797,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK56,sK42(X0)),sK56) = app(sK56,app(sK42(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_64252]) ).
tcf(c_64798,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(app(sK56,sK48(X0)),sK56) = app(sK56,app(sK48(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_64252]) ).
tcf(c_64799,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(app(sK56,sK47(X0)),sK56) = app(sK56,app(sK47(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_64252]) ).
tcf(c_64800,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK56,cons(X0,X1)),sK56) = app(sK56,app(cons(X0,X1),sK56)) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_64252]) ).
tcf(c_64801,plain,
app(app(sK56,nil),sK56) = app(sK56,app(nil,sK56)),
inference(superposition,[status(thm)],[c_141,c_64252]) ).
tcf(c_64802,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK56,sK49(X0)),sK56) = app(sK56,app(sK49(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_64252]) ).
tcf(c_64803,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK56,tl(X0)),sK56) = app(sK56,app(tl(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_64252]) ).
tcf(c_64804,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK56,sK52(X0)),sK56) = app(sK56,app(sK52(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_64252]) ).
tcf(c_64805,plain,
app(app(sK56,sK56),sK56) = app(sK56,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_9004,c_64252]) ).
tcf(c_64806,plain,
app(app(sK56,sK59),sK56) = app(sK56,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_9003,c_64252]) ).
tcf(c_64807,plain,
app(app(sK56,sK58),sK56) = app(sK56,app(sK58,sK56)),
inference(superposition,[status(thm)],[c_9000,c_64252]) ).
tcf(c_64808,plain,
app(app(sK56,iPr_def_12),sK56) = app(sK56,app(iPr_def_12,sK56)),
inference(superposition,[status(thm)],[c_12995,c_64252]) ).
tcf(c_64809,plain,
app(app(sK56,iPr_def_11),sK56) = app(sK56,app(iPr_def_11,sK56)),
inference(superposition,[status(thm)],[c_12859,c_64252]) ).
tcf(c_64810,plain,
app(app(sK56,iPr_def_10),sK56) = app(sK56,app(iPr_def_10,sK56)),
inference(superposition,[status(thm)],[c_18402,c_64252]) ).
tcf(c_64811,plain,
app(app(sK56,cons(sK57,sK56)),sK56) = app(sK56,app(cons(sK57,sK56),sK56)),
inference(superposition,[status(thm)],[c_38969,c_64252]) ).
tcf(c_64812,plain,
app(app(sK56,cons(sK57,sK59)),sK56) = app(sK56,app(cons(sK57,sK59),sK56)),
inference(superposition,[status(thm)],[c_42671,c_64252]) ).
tcf(c_64813,plain,
app(app(sK56,cons(sK57,sK58)),sK56) = app(sK56,app(cons(sK57,sK58),sK56)),
inference(superposition,[status(thm)],[c_45936,c_64252]) ).
tcf(c_64814,plain,
( ( nil = sK56 )
| ( app(app(sK56,tl(sK56)),sK56) = app(sK56,app(tl(sK56),sK56)) ) ),
inference(superposition,[status(thm)],[c_15456,c_64252]) ).
tcf(c_64815,plain,
( ( nil = sK59 )
| ( app(app(sK56,tl(sK59)),sK56) = app(sK56,app(tl(sK59),sK56)) ) ),
inference(superposition,[status(thm)],[c_15493,c_64252]) ).
tcf(c_64816,plain,
( ( nil = sK58 )
| ( app(app(sK56,tl(sK58)),sK56) = app(sK56,app(tl(sK58),sK56)) ) ),
inference(superposition,[status(thm)],[c_15877,c_64252]) ).
tcf(c_64817,plain,
app(app(sK56,tl(iPr_def_12)),sK56) = app(sK56,app(tl(iPr_def_12),sK56)),
inference(superposition,[status(thm)],[c_19130,c_64252]) ).
tcf(c_64818,plain,
app(app(sK56,cons(sK57,iPr_def_10)),sK56) = app(sK56,app(cons(sK57,iPr_def_10),sK56)),
inference(superposition,[status(thm)],[c_61331,c_64252]) ).
tcf(c_64819,plain,
app(app(sK56,cons(sK57,app(sK56,sK56))),sK56) = app(sK56,app(cons(sK57,app(sK56,sK56)),sK56)),
inference(superposition,[status(thm)],[c_39016,c_64252]) ).
tcf(c_64820,plain,
app(app(sK56,cons(sK57,app(sK59,sK56))),sK56) = app(sK56,app(cons(sK57,app(sK59,sK56)),sK56)),
inference(superposition,[status(thm)],[c_42723,c_64252]) ).
tcf(c_64821,plain,
app(app(sK56,cons(sK57,app(sK58,sK56))),sK56) = app(sK56,app(cons(sK57,app(sK58,sK56)),sK56)),
inference(superposition,[status(thm)],[c_45988,c_64252]) ).
tcf(c_64822,plain,
app(app(sK56,cons(sK57,app(sK56,sK59))),sK56) = app(sK56,app(cons(sK57,app(sK56,sK59)),sK56)),
inference(superposition,[status(thm)],[c_41916,c_64252]) ).
tcf(c_64823,plain,
app(app(sK56,cons(sK57,app(sK59,sK59))),sK56) = app(sK56,app(cons(sK57,app(sK59,sK59)),sK56)),
inference(superposition,[status(thm)],[c_43373,c_64252]) ).
tcf(c_64824,plain,
app(app(sK56,cons(sK57,app(sK58,sK59))),sK56) = app(sK56,app(cons(sK57,app(sK58,sK59)),sK56)),
inference(superposition,[status(thm)],[c_45985,c_64252]) ).
tcf(c_64825,plain,
app(app(sK56,cons(sK57,app(sK56,sK58))),sK56) = app(sK56,app(cons(sK57,app(sK56,sK58)),sK56)),
inference(superposition,[status(thm)],[c_45632,c_64252]) ).
tcf(c_64826,plain,
app(app(sK56,cons(sK57,app(sK59,sK58))),sK56) = app(sK56,app(cons(sK57,app(sK59,sK58)),sK56)),
inference(superposition,[status(thm)],[c_46645,c_64252]) ).
tcf(c_64827,plain,
app(app(sK56,cons(sK57,app(sK58,sK58))),sK56) = app(sK56,app(cons(sK57,app(sK58,sK58)),sK56)),
inference(superposition,[status(thm)],[c_47111,c_64252]) ).
tcf(c_64828,plain,
app(app(sK56,iPr_def_11),sK56) = app(sK56,cons(sK57,sK56)),
inference(light_normalisation,[status(thm)],[c_64809,c_38052]) ).
tcf(c_64830,plain,
app(app(sK56,cons(sK57,iPr_def_10)),sK56) = app(sK56,cons(sK57,app(iPr_def_10,sK56))),
inference(light_normalisation,[status(thm)],[c_64818,c_38046]) ).
tcf(c_64831,plain,
app(app(sK56,cons(sK57,sK58)),sK56) = app(sK56,cons(sK57,app(sK58,sK56))),
inference(light_normalisation,[status(thm)],[c_64813,c_38043]) ).
tcf(c_64832,plain,
app(app(sK56,cons(sK57,sK59)),sK56) = app(sK56,cons(sK57,app(sK59,sK56))),
inference(light_normalisation,[status(thm)],[c_64812,c_38042]) ).
tcf(c_64833,plain,
app(app(sK56,cons(sK57,sK56)),sK56) = app(sK56,cons(sK57,app(sK56,sK56))),
inference(light_normalisation,[status(thm)],[c_64811,c_38041]) ).
tcf(c_64988,plain,
! [X0: $i] :
( segmentP(app(app(sK56,app(sK56,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(app(app(sK56,sK56),sK56),X0)) ),
inference(superposition,[status(thm)],[c_64805,c_67]) ).
tcf(c_64991,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(app(sK56,sK56),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK56))
| ~ memberP(app(sK56,app(sK56,sK56)),X0) ),
inference(superposition,[status(thm)],[c_64805,c_167]) ).
tcf(c_64992,plain,
( ( app(sK56,sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_64805,c_231]) ).
tcf(c_64993,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_64805,c_230]) ).
tcf(c_64994,plain,
( frontsegP(app(sK56,app(sK56,sK56)),app(sK56,sK56))
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_64805,c_386]) ).
tcf(c_64995,plain,
( rearsegP(app(sK56,app(sK56,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_64805,c_383]) ).
tcf(c_64996,plain,
( ssList(app(sK56,app(sK56,sK56)))
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_64805,c_153]) ).
tcf(c_64997,plain,
! [X0: $i] :
( ( app(sK56,sK56) = X0 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK56)) != app(X0,sK56) ) ),
inference(superposition,[status(thm)],[c_64805,c_225]) ).
tcf(c_64998,plain,
( segmentP(app(sK56,app(sK56,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(app(app(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_64805,c_67]) ).
tcf(c_64999,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ( app(app(sK56,sK56),X0) != app(sK56,app(sK56,sK56)) ) ),
inference(superposition,[status(thm)],[c_64805,c_226]) ).
tcf(c_65000,plain,
! [X0: $i] :
( frontsegP(app(sK56,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ~ frontsegP(app(sK56,sK56),X0) ),
inference(superposition,[status(thm)],[c_64805,c_176]) ).
tcf(c_65001,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK56))
| ~ memberP(app(sK56,sK56),X0) ),
inference(superposition,[status(thm)],[c_64805,c_165]) ).
tcf(c_65002,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK56,app(sK56,sK56)),X1),X0)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_64805,c_193]) ).
tcf(c_65003,plain,
! [X0: $i] :
( rearsegP(app(sK56,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_64805,c_186]) ).
tcf(c_65004,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_64805,c_166]) ).
tcf(c_65005,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_64805,c_193]) ).
tcf(c_65006,plain,
( ( app(sK56,sK56) = iPr_def_11 )
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK56)) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_64805,c_39002]) ).
tcf(c_65007,plain,
( ( app(sK56,sK56) = nil )
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_64805,c_25412]) ).
tcf(c_65008,plain,
( ssList(app(sK56,app(sK56,sK56)))
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64996,c_9004]) ).
tcf(c_65011,plain,
( rearsegP(app(sK56,app(sK56,sK56)),sK56)
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64995,c_9004]) ).
tcf(c_65014,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK56,sK56)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65005,c_9004]) ).
tcf(c_65018,plain,
( segmentP(app(sK56,app(sK56,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(app(sK56,app(sK56,sK56))) ),
inference(light_normalisation,[status(thm)],[c_64998,c_64805]) ).
tcf(c_65019,plain,
( segmentP(app(sK56,app(sK56,sK56)),sK56)
| ~ ssList(app(sK56,app(sK56,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65018,c_9004]) ).
tcf(c_65022,plain,
( frontsegP(app(sK56,app(sK56,sK56)),app(sK56,sK56))
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64994,c_9004]) ).
tcf(c_65028,plain,
( ( nil = sK56 )
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64993,c_9004]) ).
tcf(c_65035,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK56,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65004,c_9004]) ).
tcf(c_65040,plain,
! [X0: $i] :
( rearsegP(app(sK56,app(sK56,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65003,c_9004]) ).
tcf(c_65045,plain,
( ( app(sK56,sK56) = nil )
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64992,c_9004]) ).
tcf(c_65049,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK56,sK56)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK56))
| ~ memberP(app(sK56,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65001,c_9004]) ).
tcf(c_65054,plain,
! [X0: $i] :
( frontsegP(app(sK56,app(sK56,sK56)),X0)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ~ frontsegP(app(sK56,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65000,c_9004]) ).
tcf(c_65059,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK56,app(sK56,sK56)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65002,c_9004]) ).
tcf(c_65065,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(app(sK56,sK56),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK56))
| ~ memberP(app(sK56,app(sK56,sK56)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64991,c_9004]) ).
tcf(c_65071,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ( app(app(sK56,sK56),X0) != app(sK56,app(sK56,sK56)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64999,c_9004]) ).
tcf(c_65076,plain,
! [X0: $i] :
( ( app(sK56,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK56)) != app(X0,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64997,c_9004]) ).
tcf(c_65081,plain,
! [X0: $i] :
( segmentP(app(app(sK56,app(sK56,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(app(sK56,app(sK56,sK56)),X0)) ),
inference(light_normalisation,[status(thm)],[c_64988,c_64805]) ).
tcf(c_65082,plain,
! [X0: $i] :
( segmentP(app(app(sK56,app(sK56,sK56)),X0),sK56)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(app(sK56,app(sK56,sK56)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65081,c_9004]) ).
tcf(c_65126,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),app(sK56,app(sK56,sK56))) = app(X0,app(X1,app(sK56,app(sK56,sK56)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_228]) ).
tcf(c_65127,plain,
( ( app(app(sK56,app(sK56,app(sK56,sK56))),sK56) = app(sK56,app(app(sK56,app(sK56,sK56)),sK56)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_64252]) ).
tcf(c_65128,plain,
! [X0: $i] :
( ( app(app(app(sK56,app(sK56,sK56)),X0),sK56) = app(app(sK56,app(sK56,sK56)),app(X0,sK56)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_23049]) ).
tcf(c_65129,plain,
( ( hd(app(iPr_def_11,app(sK56,app(sK56,sK56)))) = sK57 )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_19361]) ).
tcf(c_65130,plain,
( ( hd(cons(sK60,app(sK56,app(sK56,sK56)))) = sK60 )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_19068]) ).
tcf(c_65131,plain,
( ( tl(cons(sK60,app(sK56,app(sK56,sK56)))) = app(sK56,app(sK56,sK56)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_19067]) ).
tcf(c_65132,plain,
( ( cons(sK57,app(app(sK56,app(sK56,sK56)),sK58)) = app(cons(sK57,app(sK56,app(sK56,sK56))),sK58) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_37537]) ).
tcf(c_65133,plain,
( ( tl(cons(sK7,app(sK56,app(sK56,sK56)))) = app(sK56,app(sK56,sK56)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_14098]) ).
tcf(c_65134,plain,
( ( tl(cons(sK6,app(sK56,app(sK56,sK56)))) = app(sK56,app(sK56,sK56)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_14097]) ).
tcf(c_65135,plain,
( ( cons(sK57,app(app(sK56,app(sK56,sK56)),sK59)) = app(cons(sK57,app(sK56,app(sK56,sK56))),sK59) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_37536]) ).
tcf(c_65136,plain,
( ( hd(cons(sK7,app(sK56,app(sK56,sK56)))) = sK7 )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_13924]) ).
tcf(c_65137,plain,
( ( hd(cons(sK6,app(sK56,app(sK56,sK56)))) = sK6 )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_13923]) ).
tcf(c_65138,plain,
( ( cons(sK57,app(app(sK56,app(sK56,sK56)),sK56)) = app(cons(sK57,app(sK56,app(sK56,sK56))),sK56) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_37535]) ).
tcf(c_65139,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,app(sK56,app(sK56,sK56)))) = app(cons(sK57,X0),app(sK56,app(sK56,sK56))) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_22705]) ).
tcf(c_65140,plain,
( ( nil = sK58 )
| ( app(tl(sK58),app(sK56,app(sK56,sK56))) = tl(app(sK58,app(sK56,app(sK56,sK56)))) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_21826]) ).
tcf(c_65141,plain,
( ( nil = sK59 )
| ( app(tl(sK59),app(sK56,app(sK56,sK56))) = tl(app(sK59,app(sK56,app(sK56,sK56)))) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_21825]) ).
tcf(c_65142,plain,
( ( nil = sK56 )
| ( app(tl(sK56),app(sK56,app(sK56,sK56))) = tl(app(sK56,app(sK56,app(sK56,sK56)))) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_21824]) ).
tcf(c_65143,plain,
( duplicatefreeP(app(sK56,app(sK56,sK56)))
| ( app(app(sK42(app(sK56,app(sK56,sK56))),cons(sK40(app(sK56,app(sK56,sK56))),sK43(app(sK56,app(sK56,sK56))))),cons(sK41(app(sK56,app(sK56,sK56))),sK44(app(sK56,app(sK56,sK56))))) = app(sK56,app(sK56,sK56)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_124]) ).
tcf(c_65144,plain,
( strictorderedP(app(sK56,app(sK56,sK56)))
| ( app(app(sK37(app(sK56,app(sK56,sK56))),cons(sK35(app(sK56,app(sK56,sK56))),sK38(app(sK56,app(sK56,sK56))))),cons(sK36(app(sK56,app(sK56,sK56))),sK39(app(sK56,app(sK56,sK56))))) = app(sK56,app(sK56,sK56)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_116]) ).
tcf(c_65145,plain,
( totalorderedP(app(sK56,app(sK56,sK56)))
| ( app(app(sK32(app(sK56,app(sK56,sK56))),cons(sK30(app(sK56,app(sK56,sK56))),sK33(app(sK56,app(sK56,sK56))))),cons(sK31(app(sK56,app(sK56,sK56))),sK34(app(sK56,app(sK56,sK56))))) = app(sK56,app(sK56,sK56)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_108]) ).
tcf(c_65146,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK56,app(sK56,sK56)))) = hd(sK58) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_19350]) ).
tcf(c_65147,plain,
! [X0: $i] :
( ( app(sK56,app(sK56,sK56)) = nil )
| ( app(tl(app(sK56,app(sK56,sK56))),X0) = tl(app(app(sK56,app(sK56,sK56)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_234]) ).
tcf(c_65148,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK56,app(sK56,sK56)))) = hd(sK59) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_19349]) ).
tcf(c_65149,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK56,app(sK56,sK56)))) = hd(sK56) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_19348]) ).
tcf(c_65150,plain,
( equalelemsP(app(sK56,app(sK56,sK56)))
| ( app(sK47(app(sK56,app(sK56,sK56))),cons(sK45(app(sK56,app(sK56,sK56))),cons(sK46(app(sK56,app(sK56,sK56))),sK48(app(sK56,app(sK56,sK56)))))) = app(sK56,app(sK56,sK56)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_132]) ).
tcf(c_65151,plain,
! [X0: $i] :
( ( app(sK56,app(sK56,sK56)) = nil )
| ( hd(app(app(sK56,app(sK56,sK56)),X0)) = hd(app(sK56,app(sK56,sK56))) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_233]) ).
tcf(c_65152,plain,
( ( app(sK56,app(sK56,sK56)) = nil )
| ( cons(hd(app(sK56,app(sK56,sK56))),tl(app(sK56,app(sK56,sK56)))) = app(sK56,app(sK56,sK56)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_224]) ).
tcf(c_65153,plain,
( ( app(sK56,app(sK56,sK56)) = nil )
| ( cons(sK50(app(sK56,app(sK56,sK56))),sK49(app(sK56,app(sK56,sK56)))) = app(sK56,app(sK56,sK56)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_147]) ).
tcf(c_65154,plain,
( ( tl(cons(sK57,app(sK56,app(sK56,sK56)))) = app(sK56,app(sK56,sK56)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_14117]) ).
tcf(c_65155,plain,
( ( hd(cons(sK57,app(sK56,app(sK56,sK56)))) = sK57 )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_13943]) ).
tcf(c_65156,plain,
( ( app(sK56,app(sK56,sK56)) = nil )
| ( tl(app(sK56,app(sK56,sK56))) = sK52(app(sK56,app(sK56,sK56))) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_222]) ).
tcf(c_65157,plain,
( ( app(sK56,app(sK56,sK56)) = nil )
| ( hd(app(sK56,app(sK56,sK56))) = sK51(app(sK56,app(sK56,sK56))) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_220]) ).
tcf(c_65158,plain,
( duplicatefreeP(app(sK56,app(sK56,sK56)))
| ( sK40(app(sK56,app(sK56,sK56))) = sK41(app(sK56,app(sK56,sK56))) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_123]) ).
tcf(c_65159,plain,
( ( app(app(sK56,app(sK56,sK56)),nil) = app(sK56,app(sK56,sK56)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_232]) ).
tcf(c_65160,plain,
( ( app(nil,app(sK56,app(sK56,sK56))) = app(sK56,app(sK56,sK56)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_155]) ).
tcf(c_65443,plain,
! [X0: $i] :
( segmentP(app(app(sK56,app(sK59,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(app(app(sK56,sK59),sK56),X0)) ),
inference(superposition,[status(thm)],[c_64806,c_67]) ).
tcf(c_65446,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(app(sK56,sK59),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK59))
| ~ memberP(app(sK56,app(sK59,sK56)),X0) ),
inference(superposition,[status(thm)],[c_64806,c_167]) ).
tcf(c_65447,plain,
( ( app(sK56,sK59) = nil )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_64806,c_231]) ).
tcf(c_65448,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_64806,c_230]) ).
tcf(c_65449,plain,
( frontsegP(app(sK56,app(sK59,sK56)),app(sK56,sK59))
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_64806,c_386]) ).
tcf(c_65450,plain,
( rearsegP(app(sK56,app(sK59,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_64806,c_383]) ).
tcf(c_65451,plain,
( ssList(app(sK56,app(sK59,sK56)))
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_64806,c_153]) ).
tcf(c_65452,plain,
! [X0: $i] :
( ( app(sK56,sK59) = X0 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK56)) != app(X0,sK56) ) ),
inference(superposition,[status(thm)],[c_64806,c_225]) ).
tcf(c_65453,plain,
( segmentP(app(sK56,app(sK59,sK56)),sK59)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(app(app(sK56,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_64806,c_67]) ).
tcf(c_65454,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ( app(app(sK56,sK59),X0) != app(sK56,app(sK59,sK56)) ) ),
inference(superposition,[status(thm)],[c_64806,c_226]) ).
tcf(c_65455,plain,
! [X0: $i] :
( frontsegP(app(sK56,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ~ frontsegP(app(sK56,sK59),X0) ),
inference(superposition,[status(thm)],[c_64806,c_176]) ).
tcf(c_65456,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK59))
| ~ memberP(app(sK56,sK59),X0) ),
inference(superposition,[status(thm)],[c_64806,c_165]) ).
tcf(c_65457,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK56,app(sK59,sK56)),X1),X0)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_64806,c_193]) ).
tcf(c_65458,plain,
! [X0: $i] :
( rearsegP(app(sK56,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_64806,c_186]) ).
tcf(c_65459,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_64806,c_166]) ).
tcf(c_65460,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK59,sK56)),X0)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_64806,c_193]) ).
tcf(c_65461,plain,
( ( app(sK56,sK59) = iPr_def_11 )
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK56)) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_64806,c_39002]) ).
tcf(c_65462,plain,
( ( app(sK56,sK59) = nil )
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_64806,c_25412]) ).
tcf(c_65463,plain,
( ssList(app(sK56,app(sK59,sK56)))
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65451,c_9004]) ).
tcf(c_65466,plain,
( rearsegP(app(sK56,app(sK59,sK56)),sK56)
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65450,c_9004]) ).
tcf(c_65469,plain,
( frontsegP(app(sK56,app(sK59,sK56)),app(sK56,sK59))
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65449,c_9004]) ).
tcf(c_65475,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK59,sK56)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65460,c_9003,c_9004]) ).
tcf(c_65479,plain,
( segmentP(app(sK56,app(sK59,sK56)),sK59)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(app(sK56,app(sK59,sK56))) ),
inference(light_normalisation,[status(thm)],[c_65453,c_64806]) ).
tcf(c_65480,plain,
( segmentP(app(sK56,app(sK59,sK56)),sK59)
| ~ ssList(app(sK56,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65479,c_9003,c_9004]) ).
tcf(c_65483,plain,
( ( nil = sK56 )
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65448,c_9004]) ).
tcf(c_65490,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK59,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65459,c_9004]) ).
tcf(c_65495,plain,
! [X0: $i] :
( rearsegP(app(sK56,app(sK59,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65458,c_9004]) ).
tcf(c_65500,plain,
( ( app(sK56,sK59) = nil )
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65447,c_9004]) ).
tcf(c_65504,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK59,sK56)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK59))
| ~ memberP(app(sK56,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65456,c_9004]) ).
tcf(c_65509,plain,
! [X0: $i] :
( frontsegP(app(sK56,app(sK59,sK56)),X0)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ~ frontsegP(app(sK56,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65455,c_9004]) ).
tcf(c_65514,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK56,app(sK59,sK56)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65457,c_9004]) ).
tcf(c_65520,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(app(sK56,sK59),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK59))
| ~ memberP(app(sK56,app(sK59,sK56)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65446,c_9004]) ).
tcf(c_65526,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ( app(app(sK56,sK59),X0) != app(sK56,app(sK59,sK56)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65454,c_9004]) ).
tcf(c_65531,plain,
! [X0: $i] :
( ( app(sK56,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK56)) != app(X0,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65452,c_9004]) ).
tcf(c_65536,plain,
! [X0: $i] :
( segmentP(app(app(sK56,app(sK59,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(app(sK56,app(sK59,sK56)),X0)) ),
inference(light_normalisation,[status(thm)],[c_65443,c_64806]) ).
tcf(c_65537,plain,
! [X0: $i] :
( segmentP(app(app(sK56,app(sK59,sK56)),X0),sK56)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(app(sK56,app(sK59,sK56)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65536,c_9004]) ).
tcf(c_65764,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),app(sK56,app(sK59,sK56))) = app(X0,app(X1,app(sK56,app(sK59,sK56)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_228]) ).
tcf(c_65765,plain,
( ( app(app(sK56,app(sK56,app(sK59,sK56))),sK56) = app(sK56,app(app(sK56,app(sK59,sK56)),sK56)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_64252]) ).
tcf(c_65766,plain,
! [X0: $i] :
( ( app(app(app(sK56,app(sK59,sK56)),X0),sK56) = app(app(sK56,app(sK59,sK56)),app(X0,sK56)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_23049]) ).
tcf(c_65767,plain,
( ( hd(app(iPr_def_11,app(sK56,app(sK59,sK56)))) = sK57 )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_19361]) ).
tcf(c_65768,plain,
( ( hd(cons(sK60,app(sK56,app(sK59,sK56)))) = sK60 )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_19068]) ).
tcf(c_65769,plain,
( ( tl(cons(sK60,app(sK56,app(sK59,sK56)))) = app(sK56,app(sK59,sK56)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_19067]) ).
tcf(c_65770,plain,
( ( cons(sK57,app(app(sK56,app(sK59,sK56)),sK58)) = app(cons(sK57,app(sK56,app(sK59,sK56))),sK58) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_37537]) ).
tcf(c_65771,plain,
( ( tl(cons(sK7,app(sK56,app(sK59,sK56)))) = app(sK56,app(sK59,sK56)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_14098]) ).
tcf(c_65772,plain,
( ( tl(cons(sK6,app(sK56,app(sK59,sK56)))) = app(sK56,app(sK59,sK56)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_14097]) ).
tcf(c_65773,plain,
( ( cons(sK57,app(app(sK56,app(sK59,sK56)),sK59)) = app(cons(sK57,app(sK56,app(sK59,sK56))),sK59) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_37536]) ).
tcf(c_65774,plain,
( ( hd(cons(sK7,app(sK56,app(sK59,sK56)))) = sK7 )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_13924]) ).
tcf(c_65775,plain,
( ( hd(cons(sK6,app(sK56,app(sK59,sK56)))) = sK6 )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_13923]) ).
tcf(c_65776,plain,
( ( cons(sK57,app(app(sK56,app(sK59,sK56)),sK56)) = app(cons(sK57,app(sK56,app(sK59,sK56))),sK56) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_37535]) ).
tcf(c_65777,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,app(sK56,app(sK59,sK56)))) = app(cons(sK57,X0),app(sK56,app(sK59,sK56))) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_22705]) ).
tcf(c_65778,plain,
( ( nil = sK58 )
| ( app(tl(sK58),app(sK56,app(sK59,sK56))) = tl(app(sK58,app(sK56,app(sK59,sK56)))) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_21826]) ).
tcf(c_65779,plain,
( ( nil = sK59 )
| ( app(tl(sK59),app(sK56,app(sK59,sK56))) = tl(app(sK59,app(sK56,app(sK59,sK56)))) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_21825]) ).
tcf(c_65780,plain,
( ( nil = sK56 )
| ( app(tl(sK56),app(sK56,app(sK59,sK56))) = tl(app(sK56,app(sK56,app(sK59,sK56)))) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_21824]) ).
tcf(c_65781,plain,
( duplicatefreeP(app(sK56,app(sK59,sK56)))
| ( app(app(sK42(app(sK56,app(sK59,sK56))),cons(sK40(app(sK56,app(sK59,sK56))),sK43(app(sK56,app(sK59,sK56))))),cons(sK41(app(sK56,app(sK59,sK56))),sK44(app(sK56,app(sK59,sK56))))) = app(sK56,app(sK59,sK56)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_124]) ).
tcf(c_65782,plain,
( strictorderedP(app(sK56,app(sK59,sK56)))
| ( app(app(sK37(app(sK56,app(sK59,sK56))),cons(sK35(app(sK56,app(sK59,sK56))),sK38(app(sK56,app(sK59,sK56))))),cons(sK36(app(sK56,app(sK59,sK56))),sK39(app(sK56,app(sK59,sK56))))) = app(sK56,app(sK59,sK56)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_116]) ).
tcf(c_65783,plain,
( totalorderedP(app(sK56,app(sK59,sK56)))
| ( app(app(sK32(app(sK56,app(sK59,sK56))),cons(sK30(app(sK56,app(sK59,sK56))),sK33(app(sK56,app(sK59,sK56))))),cons(sK31(app(sK56,app(sK59,sK56))),sK34(app(sK56,app(sK59,sK56))))) = app(sK56,app(sK59,sK56)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_108]) ).
tcf(c_65784,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK56,app(sK59,sK56)))) = hd(sK58) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_19350]) ).
tcf(c_65785,plain,
! [X0: $i] :
( ( app(sK56,app(sK59,sK56)) = nil )
| ( app(tl(app(sK56,app(sK59,sK56))),X0) = tl(app(app(sK56,app(sK59,sK56)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_234]) ).
tcf(c_65786,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK56,app(sK59,sK56)))) = hd(sK59) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_19349]) ).
tcf(c_65787,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK56,app(sK59,sK56)))) = hd(sK56) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_19348]) ).
tcf(c_65788,plain,
( equalelemsP(app(sK56,app(sK59,sK56)))
| ( app(sK47(app(sK56,app(sK59,sK56))),cons(sK45(app(sK56,app(sK59,sK56))),cons(sK46(app(sK56,app(sK59,sK56))),sK48(app(sK56,app(sK59,sK56)))))) = app(sK56,app(sK59,sK56)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_132]) ).
tcf(c_65789,plain,
! [X0: $i] :
( ( app(sK56,app(sK59,sK56)) = nil )
| ( hd(app(app(sK56,app(sK59,sK56)),X0)) = hd(app(sK56,app(sK59,sK56))) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_233]) ).
tcf(c_65790,plain,
( ( app(sK56,app(sK59,sK56)) = nil )
| ( cons(hd(app(sK56,app(sK59,sK56))),tl(app(sK56,app(sK59,sK56)))) = app(sK56,app(sK59,sK56)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_224]) ).
tcf(c_65791,plain,
( ( app(sK56,app(sK59,sK56)) = nil )
| ( cons(sK50(app(sK56,app(sK59,sK56))),sK49(app(sK56,app(sK59,sK56)))) = app(sK56,app(sK59,sK56)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_147]) ).
tcf(c_65792,plain,
( ( tl(cons(sK57,app(sK56,app(sK59,sK56)))) = app(sK56,app(sK59,sK56)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_14117]) ).
tcf(c_65793,plain,
( ( hd(cons(sK57,app(sK56,app(sK59,sK56)))) = sK57 )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_13943]) ).
tcf(c_65794,plain,
( ( app(sK56,app(sK59,sK56)) = nil )
| ( tl(app(sK56,app(sK59,sK56))) = sK52(app(sK56,app(sK59,sK56))) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_222]) ).
tcf(c_65795,plain,
( ( app(sK56,app(sK59,sK56)) = nil )
| ( hd(app(sK56,app(sK59,sK56))) = sK51(app(sK56,app(sK59,sK56))) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_220]) ).
tcf(c_65796,plain,
( duplicatefreeP(app(sK56,app(sK59,sK56)))
| ( sK40(app(sK56,app(sK59,sK56))) = sK41(app(sK56,app(sK59,sK56))) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_123]) ).
tcf(c_65797,plain,
( ( app(app(sK56,app(sK59,sK56)),nil) = app(sK56,app(sK59,sK56)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_232]) ).
tcf(c_65798,plain,
( ( app(nil,app(sK56,app(sK59,sK56))) = app(sK56,app(sK59,sK56)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_155]) ).
tcf(c_65947,plain,
! [X0: $i] :
( segmentP(app(app(sK56,app(sK58,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(app(app(sK56,sK58),sK56),X0)) ),
inference(superposition,[status(thm)],[c_64807,c_67]) ).
tcf(c_65950,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(app(sK56,sK58),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK58))
| ~ memberP(app(sK56,app(sK58,sK56)),X0) ),
inference(superposition,[status(thm)],[c_64807,c_167]) ).
tcf(c_65951,plain,
( ( app(sK56,sK58) = nil )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_64807,c_231]) ).
tcf(c_65952,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_64807,c_230]) ).
tcf(c_65953,plain,
( frontsegP(app(sK56,app(sK58,sK56)),app(sK56,sK58))
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_64807,c_386]) ).
tcf(c_65954,plain,
( rearsegP(app(sK56,app(sK58,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_64807,c_383]) ).
tcf(c_65955,plain,
( ssList(app(sK56,app(sK58,sK56)))
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_64807,c_153]) ).
tcf(c_65956,plain,
! [X0: $i] :
( ( app(sK56,sK58) = X0 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK56)) != app(X0,sK56) ) ),
inference(superposition,[status(thm)],[c_64807,c_225]) ).
tcf(c_65957,plain,
( segmentP(app(sK56,app(sK58,sK56)),sK58)
| ~ ssList(sK58)
| ~ ssList(sK56)
| ~ ssList(app(app(sK56,sK58),sK56)) ),
inference(superposition,[status(thm)],[c_64807,c_67]) ).
tcf(c_65958,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ( app(app(sK56,sK58),X0) != app(sK56,app(sK58,sK56)) ) ),
inference(superposition,[status(thm)],[c_64807,c_226]) ).
tcf(c_65959,plain,
! [X0: $i] :
( frontsegP(app(sK56,app(sK58,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ~ frontsegP(app(sK56,sK58),X0) ),
inference(superposition,[status(thm)],[c_64807,c_176]) ).
tcf(c_65960,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK58,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK58))
| ~ memberP(app(sK56,sK58),X0) ),
inference(superposition,[status(thm)],[c_64807,c_165]) ).
tcf(c_65961,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK56,app(sK58,sK56)),X1),X0)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_64807,c_193]) ).
tcf(c_65962,plain,
! [X0: $i] :
( rearsegP(app(sK56,app(sK58,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_64807,c_186]) ).
tcf(c_65963,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK58,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_64807,c_166]) ).
tcf(c_65964,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK58,sK56)),X0)
| ~ ssList(sK58)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_64807,c_193]) ).
tcf(c_65965,plain,
( ( app(sK56,sK58) = iPr_def_11 )
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK56)) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_64807,c_39002]) ).
tcf(c_65966,plain,
( ( app(sK56,sK58) = nil )
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_64807,c_25412]) ).
tcf(c_65967,plain,
( ssList(app(sK56,app(sK58,sK56)))
| ~ ssList(app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65955,c_9004]) ).
tcf(c_65970,plain,
( rearsegP(app(sK56,app(sK58,sK56)),sK56)
| ~ ssList(app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65954,c_9004]) ).
tcf(c_65973,plain,
( frontsegP(app(sK56,app(sK58,sK56)),app(sK56,sK58))
| ~ ssList(app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65953,c_9004]) ).
tcf(c_65979,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK58,sK56)),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65964,c_9000,c_9004]) ).
tcf(c_65983,plain,
( segmentP(app(sK56,app(sK58,sK56)),sK58)
| ~ ssList(sK58)
| ~ ssList(sK56)
| ~ ssList(app(sK56,app(sK58,sK56))) ),
inference(light_normalisation,[status(thm)],[c_65957,c_64807]) ).
tcf(c_65984,plain,
( segmentP(app(sK56,app(sK58,sK56)),sK58)
| ~ ssList(app(sK56,app(sK58,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65983,c_9000,c_9004]) ).
tcf(c_65987,plain,
( ( nil = sK56 )
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65952,c_9004]) ).
tcf(c_65994,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK58,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65963,c_9004]) ).
tcf(c_65999,plain,
! [X0: $i] :
( rearsegP(app(sK56,app(sK58,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65962,c_9004]) ).
tcf(c_66004,plain,
( ( app(sK56,sK58) = nil )
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65951,c_9004]) ).
tcf(c_66008,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK58,sK56)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK58))
| ~ memberP(app(sK56,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65960,c_9004]) ).
tcf(c_66013,plain,
! [X0: $i] :
( frontsegP(app(sK56,app(sK58,sK56)),X0)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ~ frontsegP(app(sK56,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65959,c_9004]) ).
tcf(c_66018,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK56,app(sK58,sK56)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65961,c_9004]) ).
tcf(c_66024,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(app(sK56,sK58),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK58))
| ~ memberP(app(sK56,app(sK58,sK56)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65950,c_9004]) ).
tcf(c_66030,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ( app(app(sK56,sK58),X0) != app(sK56,app(sK58,sK56)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65958,c_9004]) ).
tcf(c_66035,plain,
! [X0: $i] :
( ( app(sK56,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK56)) != app(X0,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65956,c_9004]) ).
tcf(c_66040,plain,
! [X0: $i] :
( segmentP(app(app(sK56,app(sK58,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(app(sK56,app(sK58,sK56)),X0)) ),
inference(light_normalisation,[status(thm)],[c_65947,c_64807]) ).
tcf(c_66041,plain,
! [X0: $i] :
( segmentP(app(app(sK56,app(sK58,sK56)),X0),sK56)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(app(sK56,app(sK58,sK56)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66040,c_9004]) ).
tcf(c_66102,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),app(sK56,app(sK58,sK56))) = app(X0,app(X1,app(sK56,app(sK58,sK56)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_228]) ).
tcf(c_66103,plain,
( ( app(app(sK56,app(sK56,app(sK58,sK56))),sK56) = app(sK56,app(app(sK56,app(sK58,sK56)),sK56)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_64252]) ).
tcf(c_66104,plain,
! [X0: $i] :
( ( app(app(app(sK56,app(sK58,sK56)),X0),sK56) = app(app(sK56,app(sK58,sK56)),app(X0,sK56)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_23049]) ).
tcf(c_66105,plain,
( ( hd(app(iPr_def_11,app(sK56,app(sK58,sK56)))) = sK57 )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_19361]) ).
tcf(c_66106,plain,
( ( hd(cons(sK60,app(sK56,app(sK58,sK56)))) = sK60 )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_19068]) ).
tcf(c_66107,plain,
( ( tl(cons(sK60,app(sK56,app(sK58,sK56)))) = app(sK56,app(sK58,sK56)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_19067]) ).
tcf(c_66108,plain,
( ( cons(sK57,app(app(sK56,app(sK58,sK56)),sK58)) = app(cons(sK57,app(sK56,app(sK58,sK56))),sK58) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_37537]) ).
tcf(c_66109,plain,
( ( tl(cons(sK7,app(sK56,app(sK58,sK56)))) = app(sK56,app(sK58,sK56)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_14098]) ).
tcf(c_66110,plain,
( ( tl(cons(sK6,app(sK56,app(sK58,sK56)))) = app(sK56,app(sK58,sK56)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_14097]) ).
tcf(c_66111,plain,
( ( cons(sK57,app(app(sK56,app(sK58,sK56)),sK59)) = app(cons(sK57,app(sK56,app(sK58,sK56))),sK59) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_37536]) ).
tcf(c_66112,plain,
( ( hd(cons(sK7,app(sK56,app(sK58,sK56)))) = sK7 )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_13924]) ).
tcf(c_66113,plain,
( ( hd(cons(sK6,app(sK56,app(sK58,sK56)))) = sK6 )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_13923]) ).
tcf(c_66114,plain,
( ( cons(sK57,app(app(sK56,app(sK58,sK56)),sK56)) = app(cons(sK57,app(sK56,app(sK58,sK56))),sK56) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_37535]) ).
tcf(c_66115,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,app(sK56,app(sK58,sK56)))) = app(cons(sK57,X0),app(sK56,app(sK58,sK56))) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_22705]) ).
tcf(c_66116,plain,
( ( nil = sK58 )
| ( app(tl(sK58),app(sK56,app(sK58,sK56))) = tl(app(sK58,app(sK56,app(sK58,sK56)))) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_21826]) ).
tcf(c_66117,plain,
( ( nil = sK59 )
| ( app(tl(sK59),app(sK56,app(sK58,sK56))) = tl(app(sK59,app(sK56,app(sK58,sK56)))) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_21825]) ).
tcf(c_66118,plain,
( ( nil = sK56 )
| ( app(tl(sK56),app(sK56,app(sK58,sK56))) = tl(app(sK56,app(sK56,app(sK58,sK56)))) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_21824]) ).
tcf(c_66119,plain,
( duplicatefreeP(app(sK56,app(sK58,sK56)))
| ( app(app(sK42(app(sK56,app(sK58,sK56))),cons(sK40(app(sK56,app(sK58,sK56))),sK43(app(sK56,app(sK58,sK56))))),cons(sK41(app(sK56,app(sK58,sK56))),sK44(app(sK56,app(sK58,sK56))))) = app(sK56,app(sK58,sK56)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_124]) ).
tcf(c_66120,plain,
( strictorderedP(app(sK56,app(sK58,sK56)))
| ( app(app(sK37(app(sK56,app(sK58,sK56))),cons(sK35(app(sK56,app(sK58,sK56))),sK38(app(sK56,app(sK58,sK56))))),cons(sK36(app(sK56,app(sK58,sK56))),sK39(app(sK56,app(sK58,sK56))))) = app(sK56,app(sK58,sK56)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_116]) ).
tcf(c_66121,plain,
( totalorderedP(app(sK56,app(sK58,sK56)))
| ( app(app(sK32(app(sK56,app(sK58,sK56))),cons(sK30(app(sK56,app(sK58,sK56))),sK33(app(sK56,app(sK58,sK56))))),cons(sK31(app(sK56,app(sK58,sK56))),sK34(app(sK56,app(sK58,sK56))))) = app(sK56,app(sK58,sK56)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_108]) ).
tcf(c_66122,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK56,app(sK58,sK56)))) = hd(sK58) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_19350]) ).
tcf(c_66123,plain,
! [X0: $i] :
( ( app(sK56,app(sK58,sK56)) = nil )
| ( app(tl(app(sK56,app(sK58,sK56))),X0) = tl(app(app(sK56,app(sK58,sK56)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_234]) ).
tcf(c_66124,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK56,app(sK58,sK56)))) = hd(sK59) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_19349]) ).
tcf(c_66125,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK56,app(sK58,sK56)))) = hd(sK56) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_19348]) ).
tcf(c_66126,plain,
( equalelemsP(app(sK56,app(sK58,sK56)))
| ( app(sK47(app(sK56,app(sK58,sK56))),cons(sK45(app(sK56,app(sK58,sK56))),cons(sK46(app(sK56,app(sK58,sK56))),sK48(app(sK56,app(sK58,sK56)))))) = app(sK56,app(sK58,sK56)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_132]) ).
tcf(c_66127,plain,
! [X0: $i] :
( ( app(sK56,app(sK58,sK56)) = nil )
| ( hd(app(app(sK56,app(sK58,sK56)),X0)) = hd(app(sK56,app(sK58,sK56))) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_233]) ).
tcf(c_66128,plain,
( ( app(sK56,app(sK58,sK56)) = nil )
| ( cons(hd(app(sK56,app(sK58,sK56))),tl(app(sK56,app(sK58,sK56)))) = app(sK56,app(sK58,sK56)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_224]) ).
tcf(c_66129,plain,
( ( app(sK56,app(sK58,sK56)) = nil )
| ( cons(sK50(app(sK56,app(sK58,sK56))),sK49(app(sK56,app(sK58,sK56)))) = app(sK56,app(sK58,sK56)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_147]) ).
tcf(c_66130,plain,
( ( tl(cons(sK57,app(sK56,app(sK58,sK56)))) = app(sK56,app(sK58,sK56)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_14117]) ).
tcf(c_66131,plain,
( ( hd(cons(sK57,app(sK56,app(sK58,sK56)))) = sK57 )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_13943]) ).
tcf(c_66132,plain,
( ( app(sK56,app(sK58,sK56)) = nil )
| ( tl(app(sK56,app(sK58,sK56))) = sK52(app(sK56,app(sK58,sK56))) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_222]) ).
tcf(c_66133,plain,
( ( app(sK56,app(sK58,sK56)) = nil )
| ( hd(app(sK56,app(sK58,sK56))) = sK51(app(sK56,app(sK58,sK56))) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_220]) ).
tcf(c_66134,plain,
( duplicatefreeP(app(sK56,app(sK58,sK56)))
| ( sK40(app(sK56,app(sK58,sK56))) = sK41(app(sK56,app(sK58,sK56))) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_123]) ).
tcf(c_66135,plain,
( ( app(app(sK56,app(sK58,sK56)),nil) = app(sK56,app(sK58,sK56)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_232]) ).
tcf(c_66136,plain,
( ( app(nil,app(sK56,app(sK58,sK56))) = app(sK56,app(sK58,sK56)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_155]) ).
tcf(c_66550,plain,
! [X0: $i] :
( rearsegP(app(sK56,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(sK56,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_65011,c_183]) ).
tcf(c_66551,plain,
( ( app(sK56,app(sK56,sK56)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(sK56,app(sK56,sK56)))
| ~ rearsegP(sK56,app(sK56,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_65011,c_184]) ).
tcf(c_66552,plain,
( ( app(sK12(app(sK56,app(sK56,sK56)),sK56),sK56) = app(sK56,app(sK56,sK56)) )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(sK56,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_65011,c_66]) ).
tcf(c_66554,plain,
( ( app(sK12(app(sK56,app(sK56,sK56)),sK56),sK56) = app(sK56,app(sK56,sK56)) )
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(sK56,app(sK56,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66552,c_9004]) ).
tcf(c_66558,plain,
( ( app(sK56,app(sK56,sK56)) = sK56 )
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(sK56,app(sK56,sK56)))
| ~ rearsegP(sK56,app(sK56,app(sK56,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66551,c_9004]) ).
tcf(c_66567,plain,
! [X0: $i] :
( rearsegP(app(sK56,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(sK56,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_65466,c_183]) ).
tcf(c_66568,plain,
( ( app(sK56,app(sK59,sK56)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(sK56,app(sK59,sK56)))
| ~ rearsegP(sK56,app(sK56,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_65466,c_184]) ).
tcf(c_66569,plain,
( ( app(sK12(app(sK56,app(sK59,sK56)),sK56),sK56) = app(sK56,app(sK59,sK56)) )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(sK56,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_65466,c_66]) ).
tcf(c_66571,plain,
( ( app(sK12(app(sK56,app(sK59,sK56)),sK56),sK56) = app(sK56,app(sK59,sK56)) )
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(sK56,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66569,c_9004]) ).
tcf(c_66575,plain,
( ( app(sK56,app(sK59,sK56)) = sK56 )
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(sK56,app(sK59,sK56)))
| ~ rearsegP(sK56,app(sK56,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66568,c_9004]) ).
tcf(c_66584,plain,
! [X0: $i] :
( rearsegP(app(sK56,app(sK58,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(sK56,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_65970,c_183]) ).
tcf(c_66585,plain,
( ( app(sK56,app(sK58,sK56)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(sK56,app(sK58,sK56)))
| ~ rearsegP(sK56,app(sK56,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_65970,c_184]) ).
tcf(c_66586,plain,
( ( app(sK12(app(sK56,app(sK58,sK56)),sK56),sK56) = app(sK56,app(sK58,sK56)) )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(sK56,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_65970,c_66]) ).
tcf(c_66588,plain,
( ( app(sK12(app(sK56,app(sK58,sK56)),sK56),sK56) = app(sK56,app(sK58,sK56)) )
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(sK56,app(sK58,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66586,c_9004]) ).
tcf(c_66592,plain,
( ( app(sK56,app(sK58,sK56)) = sK56 )
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(sK56,app(sK58,sK56)))
| ~ rearsegP(sK56,app(sK56,app(sK58,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66585,c_9004]) ).
tcf(c_66603,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK56,app(sK56,sK56)),X0),X0),sK14(app(sK56,app(sK56,sK56)),X0)) = app(sK56,app(sK56,sK56)) )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK56,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_65014,c_70]) ).
tcf(c_66604,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,app(sK56,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ segmentP(X0,X1)
| ~ ssList(app(sK56,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_65014,c_190]) ).
tcf(c_66605,plain,
! [X0: $i] :
( ( app(sK56,app(sK56,sK56)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK56,app(sK56,sK56)))
| ~ segmentP(X0,app(sK56,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_65014,c_191]) ).
tcf(c_66728,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_52655,c_173]) ).
tcf(c_66729,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_52655,c_174]) ).
tcf(c_66730,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_52655,c_63]) ).
tcf(c_66731,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_66730,c_18402]) ).
tcf(c_66734,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_66729,c_18402]) ).
tcf(c_66738,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_66728,c_18402]) ).
tcf(c_66747,plain,
( ( app(app(sK13(app(sK56,app(sK56,sK56)),sK56),sK56),sK14(app(sK56,app(sK56,sK56)),sK56)) = app(sK56,app(sK56,sK56)) )
| ~ ssList(sK56)
| ~ ssList(app(sK56,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_65019,c_70]) ).
tcf(c_66748,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK56,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_65019,c_190]) ).
tcf(c_66749,plain,
( ( app(sK56,app(sK56,sK56)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK56,app(sK56,sK56)))
| ~ segmentP(sK56,app(sK56,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_65019,c_191]) ).
tcf(c_66751,plain,
( ( app(sK56,app(sK56,sK56)) = sK56 )
| ~ ssList(app(sK56,app(sK56,sK56)))
| ~ segmentP(sK56,app(sK56,app(sK56,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66749,c_9004]) ).
tcf(c_66755,plain,
( ( app(app(sK13(app(sK56,app(sK56,sK56)),sK56),sK56),sK14(app(sK56,app(sK56,sK56)),sK56)) = app(sK56,app(sK56,sK56)) )
| ~ ssList(app(sK56,app(sK56,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66747,c_9004]) ).
tcf(c_66763,plain,
( ( app(sK56,app(sK56,sK56)) = app(sK56,sK56) )
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(sK56,app(sK56,sK56)))
| ~ frontsegP(app(sK56,sK56),app(sK56,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_65022,c_174]) ).
tcf(c_66764,plain,
( ( app(app(sK56,sK56),sK11(app(sK56,app(sK56,sK56)),app(sK56,sK56))) = app(sK56,app(sK56,sK56)) )
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(sK56,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_65022,c_63]) ).
tcf(c_66777,plain,
( ( app(sK56,app(sK59,sK56)) = app(sK56,sK59) )
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(sK56,app(sK59,sK56)))
| ~ frontsegP(app(sK56,sK59),app(sK56,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_65469,c_174]) ).
tcf(c_66778,plain,
( ( app(app(sK56,sK59),sK11(app(sK56,app(sK59,sK56)),app(sK56,sK59))) = app(sK56,app(sK59,sK56)) )
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(sK56,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_65469,c_63]) ).
tcf(c_66792,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK56,app(sK59,sK56)),X0),X0),sK14(app(sK56,app(sK59,sK56)),X0)) = app(sK56,app(sK59,sK56)) )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK56,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_65475,c_70]) ).
tcf(c_66793,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,app(sK59,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,X1)
| ~ ssList(app(sK56,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_65475,c_190]) ).
tcf(c_66794,plain,
! [X0: $i] :
( ( app(sK56,app(sK59,sK56)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK56,app(sK59,sK56)))
| ~ segmentP(X0,app(sK56,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_65475,c_191]) ).
tcf(c_66817,plain,
( ( app(app(sK13(app(sK56,app(sK59,sK56)),sK59),sK59),sK14(app(sK56,app(sK59,sK56)),sK59)) = app(sK56,app(sK59,sK56)) )
| ~ ssList(sK59)
| ~ ssList(app(sK56,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_65480,c_70]) ).
tcf(c_66818,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK59,sK56)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK56,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_65480,c_190]) ).
tcf(c_66819,plain,
( ( app(sK56,app(sK59,sK56)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK56,app(sK59,sK56)))
| ~ segmentP(sK59,app(sK56,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_65480,c_191]) ).
tcf(c_66821,plain,
( ( app(sK56,app(sK59,sK56)) = sK59 )
| ~ ssList(app(sK56,app(sK59,sK56)))
| ~ segmentP(sK59,app(sK56,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66819,c_9003]) ).
tcf(c_66825,plain,
( ( app(app(sK13(app(sK56,app(sK59,sK56)),sK59),sK59),sK14(app(sK56,app(sK59,sK56)),sK59)) = app(sK56,app(sK59,sK56)) )
| ~ ssList(app(sK56,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66817,c_9003]) ).
tcf(c_66833,plain,
( ( app(sK56,app(sK58,sK56)) = app(sK56,sK58) )
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(sK56,app(sK58,sK56)))
| ~ frontsegP(app(sK56,sK58),app(sK56,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_65973,c_174]) ).
tcf(c_66834,plain,
( ( app(app(sK56,sK58),sK11(app(sK56,app(sK58,sK56)),app(sK56,sK58))) = app(sK56,app(sK58,sK56)) )
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(sK56,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_65973,c_63]) ).
tcf(c_66848,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK56,app(sK58,sK56)),X0),X0),sK14(app(sK56,app(sK58,sK56)),X0)) = app(sK56,app(sK58,sK56)) )
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK56,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_65979,c_70]) ).
tcf(c_66849,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,app(sK58,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ segmentP(X0,X1)
| ~ ssList(app(sK56,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_65979,c_190]) ).
tcf(c_66850,plain,
! [X0: $i] :
( ( app(sK56,app(sK58,sK56)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK56,app(sK58,sK56)))
| ~ segmentP(X0,app(sK56,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_65979,c_191]) ).
tcf(c_66873,plain,
( ( app(app(sK13(app(sK56,app(sK58,sK56)),sK58),sK58),sK14(app(sK56,app(sK58,sK56)),sK58)) = app(sK56,app(sK58,sK56)) )
| ~ ssList(sK58)
| ~ ssList(app(sK56,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_65984,c_70]) ).
tcf(c_66874,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK58,sK56)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK56,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_65984,c_190]) ).
tcf(c_66875,plain,
( ( app(sK56,app(sK58,sK56)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK56,app(sK58,sK56)))
| ~ segmentP(sK58,app(sK56,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_65984,c_191]) ).
tcf(c_66877,plain,
( ( app(sK56,app(sK58,sK56)) = sK58 )
| ~ ssList(app(sK56,app(sK58,sK56)))
| ~ segmentP(sK58,app(sK56,app(sK58,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66875,c_9000]) ).
tcf(c_66881,plain,
( ( app(app(sK13(app(sK56,app(sK58,sK56)),sK58),sK58),sK14(app(sK56,app(sK58,sK56)),sK58)) = app(sK56,app(sK58,sK56)) )
| ~ ssList(app(sK56,app(sK58,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66873,c_9000]) ).
tcf(c_66886,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_61363,c_67]) ).
tcf(c_66892,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_61363,c_386]) ).
tcf(c_66893,plain,
( rearsegP(cons(sK57,iPr_def_10),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_61363,c_383]) ).
tcf(c_66895,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_61363,c_225]) ).
tcf(c_66896,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_61363,c_226]) ).
tcf(c_66899,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_61363,c_193]) ).
tcf(c_66900,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_61363,c_186]) ).
tcf(c_66905,plain,
rearsegP(cons(sK57,iPr_def_10),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_66893,c_141,c_61331]) ).
tcf(c_66906,plain,
frontsegP(cons(sK57,iPr_def_10),cons(sK57,iPr_def_10)),
inference(forward_subsumption_resolution,[status(thm)],[c_66892,c_141,c_61331]) ).
tcf(c_66907,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66900,c_141,c_61331]) ).
tcf(c_66911,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_66899,c_141,c_61331]) ).
tcf(c_66916,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_66896,c_141,c_61331]) ).
tcf(c_66920,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_66895,c_141,c_61331]) ).
tcf(c_66924,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_66886,c_61363]) ).
tcf(c_66925,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_66924,c_141,c_61331]) ).
tcf(c_66933,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_66905,c_184]) ).
tcf(c_66934,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_66905,c_66]) ).
tcf(c_66935,plain,
app(sK12(cons(sK57,iPr_def_10),nil),nil) = cons(sK57,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_66934,c_141,c_61331]) ).
tcf(c_66936,plain,
( ( cons(sK57,iPr_def_10) = nil )
| ~ rearsegP(nil,cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66933,c_141,c_61331]) ).
tcf(c_66941,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_66906,c_63]) ).
tcf(c_66944,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_66941,c_61331]) ).
tcf(c_66945,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_61364,c_122]) ).
tcf(c_66946,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_61364,c_114]) ).
tcf(c_66947,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_61364,c_130]) ).
tcf(c_66951,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_61364,c_54]) ).
tcf(c_66952,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_61364,c_67]) ).
tcf(c_66958,plain,
( frontsegP(cons(sK57,iPr_def_10),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_61364,c_386]) ).
tcf(c_66959,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_61364,c_383]) ).
tcf(c_66961,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_61364,c_225]) ).
tcf(c_66965,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_61364,c_226]) ).
tcf(c_66966,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_61364,c_176]) ).
tcf(c_66968,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_61364,c_193]) ).
tcf(c_66971,plain,
frontsegP(cons(sK57,iPr_def_10),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_66958,c_141,c_61331]) ).
tcf(c_66972,plain,
rearsegP(cons(sK57,iPr_def_10),cons(sK57,iPr_def_10)),
inference(forward_subsumption_resolution,[status(thm)],[c_66959,c_141,c_61331]) ).
tcf(c_66973,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66966,c_141,c_61331]) ).
tcf(c_66977,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_66951,c_61364]) ).
tcf(c_66978,plain,
memberP(cons(sK57,iPr_def_10),sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_66977,c_18402,c_141,c_8999,c_61331]) ).
tcf(c_66979,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_66965,c_141,c_61331]) ).
tcf(c_66983,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_66961,c_141,c_61331]) ).
tcf(c_66987,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_66968,c_141,c_61331]) ).
tcf(c_66992,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_66952,c_61364]) ).
tcf(c_66993,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_66992,c_141,c_61331]) ).
tcf(c_67015,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_66947,c_61364]) ).
tcf(c_67016,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_67015,c_18402,c_141,c_8999]) ).
tcf(c_67020,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_66946,c_61364]) ).
tcf(c_67021,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_67020,c_18402,c_141,c_8999]) ).
tcf(c_67027,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_66945,c_61364]) ).
tcf(c_67028,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_67027,c_18402,c_141,c_8999]) ).
tcf(c_67043,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_66971,c_174]) ).
tcf(c_67044,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_66971,c_63]) ).
tcf(c_67045,plain,
app(nil,sK11(cons(sK57,iPr_def_10),nil)) = cons(sK57,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_67044,c_141,c_61331]) ).
tcf(c_67046,plain,
( ( cons(sK57,iPr_def_10) = nil )
| ~ frontsegP(nil,cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67043,c_141,c_61331]) ).
tcf(c_67049,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_66978,c_57]) ).
tcf(c_67050,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_66978,c_12668]) ).
tcf(c_67052,plain,
app(nil,sK8(cons(sK57,iPr_def_10),sK57)) = sK8(cons(sK57,iPr_def_10),sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_67050,c_8999,c_61331]) ).
tcf(c_67053,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_67049,c_8999,c_61331]) ).
tcf(c_67056,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_66972,c_66]) ).
tcf(c_67057,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_67056,c_61331]) ).
tcf(c_67067,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_52656,c_173]) ).
tcf(c_67068,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_52656,c_174]) ).
tcf(c_67069,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_52656,c_63]) ).
tcf(c_67070,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_67069,c_18402]) ).
tcf(c_67073,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_67068,c_18402]) ).
tcf(c_67077,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_67067,c_18402]) ).
tcf(c_67272,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_67052,c_67]) ).
tcf(c_67278,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_67052,c_386]) ).
tcf(c_67279,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_67052,c_383]) ).
tcf(c_67281,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_67052,c_225]) ).
tcf(c_67285,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_67052,c_226]) ).
tcf(c_67286,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_67052,c_176]) ).
tcf(c_67288,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_67052,c_193]) ).
tcf(c_67291,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_67278,c_141]) ).
tcf(c_67294,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_67279,c_141]) ).
tcf(c_67297,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_67286,c_141]) ).
tcf(c_67302,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_67285,c_141]) ).
tcf(c_67307,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_67281,c_141]) ).
tcf(c_67312,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_67288,c_141]) ).
tcf(c_67318,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_67272,c_67052]) ).
tcf(c_67319,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_67318,c_141]) ).
tcf(c_67331,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_64253]) ).
tcf(c_67332,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_64253]) ).
tcf(c_67333,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_64253]) ).
tcf(c_67334,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_64253]) ).
tcf(c_67335,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_64253]) ).
tcf(c_67336,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_64253]) ).
tcf(c_67337,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_64253]) ).
tcf(c_67347,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_64253]) ).
tcf(c_67348,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_64253]) ).
tcf(c_67349,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_64253]) ).
tcf(c_67350,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_64253]) ).
tcf(c_67351,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_64253]) ).
tcf(c_67352,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_64253]) ).
tcf(c_67353,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_64253]) ).
tcf(c_67354,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_64253]) ).
tcf(c_67355,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_64253]) ).
tcf(c_67356,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_64253]) ).
tcf(c_67357,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_64253]) ).
tcf(c_67358,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_64253]) ).
tcf(c_67359,plain,
app(app(sK59,nil),sK56) = app(sK59,app(nil,sK56)),
inference(superposition,[status(thm)],[c_141,c_64253]) ).
tcf(c_67360,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_64253]) ).
tcf(c_67361,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_64253]) ).
tcf(c_67362,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_64253]) ).
tcf(c_67363,plain,
app(app(sK59,sK56),sK56) = app(sK59,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_9004,c_64253]) ).
tcf(c_67364,plain,
app(app(sK59,sK59),sK56) = app(sK59,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_9003,c_64253]) ).
tcf(c_67365,plain,
app(app(sK59,sK58),sK56) = app(sK59,app(sK58,sK56)),
inference(superposition,[status(thm)],[c_9000,c_64253]) ).
tcf(c_67366,plain,
app(app(sK59,iPr_def_12),sK56) = app(sK59,app(iPr_def_12,sK56)),
inference(superposition,[status(thm)],[c_12995,c_64253]) ).
tcf(c_67367,plain,
app(app(sK59,iPr_def_11),sK56) = app(sK59,app(iPr_def_11,sK56)),
inference(superposition,[status(thm)],[c_12859,c_64253]) ).
tcf(c_67368,plain,
app(app(sK59,iPr_def_10),sK56) = app(sK59,app(iPr_def_10,sK56)),
inference(superposition,[status(thm)],[c_18402,c_64253]) ).
tcf(c_67369,plain,
app(app(sK59,cons(sK57,sK56)),sK56) = app(sK59,app(cons(sK57,sK56),sK56)),
inference(superposition,[status(thm)],[c_38969,c_64253]) ).
tcf(c_67370,plain,
app(app(sK59,cons(sK57,sK59)),sK56) = app(sK59,app(cons(sK57,sK59),sK56)),
inference(superposition,[status(thm)],[c_42671,c_64253]) ).
tcf(c_67371,plain,
app(app(sK59,cons(sK57,sK58)),sK56) = app(sK59,app(cons(sK57,sK58),sK56)),
inference(superposition,[status(thm)],[c_45936,c_64253]) ).
tcf(c_67372,plain,
( ( nil = sK56 )
| ( app(app(sK59,tl(sK56)),sK56) = app(sK59,app(tl(sK56),sK56)) ) ),
inference(superposition,[status(thm)],[c_15456,c_64253]) ).
tcf(c_67373,plain,
( ( nil = sK59 )
| ( app(app(sK59,tl(sK59)),sK56) = app(sK59,app(tl(sK59),sK56)) ) ),
inference(superposition,[status(thm)],[c_15493,c_64253]) ).
tcf(c_67374,plain,
( ( nil = sK58 )
| ( app(app(sK59,tl(sK58)),sK56) = app(sK59,app(tl(sK58),sK56)) ) ),
inference(superposition,[status(thm)],[c_15877,c_64253]) ).
tcf(c_67375,plain,
app(app(sK59,tl(iPr_def_12)),sK56) = app(sK59,app(tl(iPr_def_12),sK56)),
inference(superposition,[status(thm)],[c_19130,c_64253]) ).
tcf(c_67376,plain,
app(app(sK59,cons(sK57,iPr_def_10)),sK56) = app(sK59,app(cons(sK57,iPr_def_10),sK56)),
inference(superposition,[status(thm)],[c_61331,c_64253]) ).
tcf(c_67377,plain,
app(app(sK59,cons(sK57,app(sK56,sK56))),sK56) = app(sK59,app(cons(sK57,app(sK56,sK56)),sK56)),
inference(superposition,[status(thm)],[c_39016,c_64253]) ).
tcf(c_67378,plain,
app(app(sK59,cons(sK57,app(sK59,sK56))),sK56) = app(sK59,app(cons(sK57,app(sK59,sK56)),sK56)),
inference(superposition,[status(thm)],[c_42723,c_64253]) ).
tcf(c_67379,plain,
app(app(sK59,cons(sK57,app(sK58,sK56))),sK56) = app(sK59,app(cons(sK57,app(sK58,sK56)),sK56)),
inference(superposition,[status(thm)],[c_45988,c_64253]) ).
tcf(c_67380,plain,
app(app(sK59,cons(sK57,app(sK56,sK59))),sK56) = app(sK59,app(cons(sK57,app(sK56,sK59)),sK56)),
inference(superposition,[status(thm)],[c_41916,c_64253]) ).
tcf(c_67381,plain,
app(app(sK59,cons(sK57,app(sK59,sK59))),sK56) = app(sK59,app(cons(sK57,app(sK59,sK59)),sK56)),
inference(superposition,[status(thm)],[c_43373,c_64253]) ).
tcf(c_67382,plain,
app(app(sK59,cons(sK57,app(sK58,sK59))),sK56) = app(sK59,app(cons(sK57,app(sK58,sK59)),sK56)),
inference(superposition,[status(thm)],[c_45985,c_64253]) ).
tcf(c_67383,plain,
app(app(sK59,cons(sK57,app(sK56,sK58))),sK56) = app(sK59,app(cons(sK57,app(sK56,sK58)),sK56)),
inference(superposition,[status(thm)],[c_45632,c_64253]) ).
tcf(c_67384,plain,
app(app(sK59,cons(sK57,app(sK59,sK58))),sK56) = app(sK59,app(cons(sK57,app(sK59,sK58)),sK56)),
inference(superposition,[status(thm)],[c_46645,c_64253]) ).
tcf(c_67385,plain,
app(app(sK59,cons(sK57,app(sK58,sK58))),sK56) = app(sK59,app(cons(sK57,app(sK58,sK58)),sK56)),
inference(superposition,[status(thm)],[c_47111,c_64253]) ).
tcf(c_67386,plain,
( ( app(app(sK59,app(sK56,app(sK56,sK56))),sK56) = app(sK59,app(app(sK56,app(sK56,sK56)),sK56)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_64253]) ).
tcf(c_67387,plain,
( ( app(app(sK59,app(sK56,app(sK59,sK56))),sK56) = app(sK59,app(app(sK56,app(sK59,sK56)),sK56)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_64253]) ).
tcf(c_67388,plain,
( ( app(app(sK59,app(sK56,app(sK58,sK56))),sK56) = app(sK59,app(app(sK56,app(sK58,sK56)),sK56)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_64253]) ).
tcf(c_67389,plain,
app(app(sK59,iPr_def_11),sK56) = app(sK59,cons(sK57,sK56)),
inference(light_normalisation,[status(thm)],[c_67367,c_38052]) ).
tcf(c_67391,plain,
app(app(sK59,cons(sK57,iPr_def_10)),sK56) = app(sK59,cons(sK57,app(iPr_def_10,sK56))),
inference(light_normalisation,[status(thm)],[c_67376,c_38046]) ).
tcf(c_67392,plain,
app(app(sK59,cons(sK57,sK58)),sK56) = app(sK59,cons(sK57,app(sK58,sK56))),
inference(light_normalisation,[status(thm)],[c_67371,c_38043]) ).
tcf(c_67393,plain,
app(app(sK59,cons(sK57,sK59)),sK56) = app(sK59,cons(sK57,app(sK59,sK56))),
inference(light_normalisation,[status(thm)],[c_67370,c_38042]) ).
tcf(c_67394,plain,
app(app(sK59,cons(sK57,sK56)),sK56) = app(sK59,cons(sK57,app(sK56,sK56))),
inference(light_normalisation,[status(thm)],[c_67369,c_38041]) ).
tcf(c_67605,plain,
! [X0: $i] :
( segmentP(app(app(sK59,app(sK56,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(app(app(sK59,sK56),sK56),X0)) ),
inference(superposition,[status(thm)],[c_67363,c_67]) ).
tcf(c_67608,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(app(sK59,sK56),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK56))
| ~ memberP(app(sK59,app(sK56,sK56)),X0) ),
inference(superposition,[status(thm)],[c_67363,c_167]) ).
tcf(c_67609,plain,
( ( app(sK59,sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_67363,c_231]) ).
tcf(c_67610,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_67363,c_230]) ).
tcf(c_67611,plain,
( frontsegP(app(sK59,app(sK56,sK56)),app(sK59,sK56))
| ~ ssList(sK56)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67363,c_386]) ).
tcf(c_67612,plain,
( rearsegP(app(sK59,app(sK56,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67363,c_383]) ).
tcf(c_67613,plain,
( ssList(app(sK59,app(sK56,sK56)))
| ~ ssList(sK56)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67363,c_153]) ).
tcf(c_67614,plain,
! [X0: $i] :
( ( app(sK59,sK56) = X0 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK56)) != app(X0,sK56) ) ),
inference(superposition,[status(thm)],[c_67363,c_225]) ).
tcf(c_67615,plain,
( segmentP(app(sK59,app(sK56,sK56)),sK56)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(app(app(sK59,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_67363,c_67]) ).
tcf(c_67616,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ( app(app(sK59,sK56),X0) != app(sK59,app(sK56,sK56)) ) ),
inference(superposition,[status(thm)],[c_67363,c_226]) ).
tcf(c_67617,plain,
! [X0: $i] :
( frontsegP(app(sK59,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ~ frontsegP(app(sK59,sK56),X0) ),
inference(superposition,[status(thm)],[c_67363,c_176]) ).
tcf(c_67618,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK56))
| ~ memberP(app(sK59,sK56),X0) ),
inference(superposition,[status(thm)],[c_67363,c_165]) ).
tcf(c_67619,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK59,app(sK56,sK56)),X1),X0)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67363,c_193]) ).
tcf(c_67620,plain,
! [X0: $i] :
( rearsegP(app(sK59,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67363,c_186]) ).
tcf(c_67621,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67363,c_166]) ).
tcf(c_67622,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK56,sK56)),X0)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_67363,c_193]) ).
tcf(c_67623,plain,
( ( app(sK59,sK56) = iPr_def_11 )
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK56)) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_67363,c_39002]) ).
tcf(c_67624,plain,
( ( app(sK59,sK56) = nil )
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_67363,c_25412]) ).
tcf(c_67625,plain,
( ssList(app(sK59,app(sK56,sK56)))
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67613,c_9004]) ).
tcf(c_67628,plain,
( rearsegP(app(sK59,app(sK56,sK56)),sK56)
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67612,c_9004]) ).
tcf(c_67631,plain,
( frontsegP(app(sK59,app(sK56,sK56)),app(sK59,sK56))
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67611,c_9004]) ).
tcf(c_67637,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK56,sK56)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67622,c_9003,c_9004]) ).
tcf(c_67641,plain,
( segmentP(app(sK59,app(sK56,sK56)),sK56)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(app(sK59,app(sK56,sK56))) ),
inference(light_normalisation,[status(thm)],[c_67615,c_67363]) ).
tcf(c_67642,plain,
( segmentP(app(sK59,app(sK56,sK56)),sK56)
| ~ ssList(app(sK59,app(sK56,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67641,c_9003,c_9004]) ).
tcf(c_67645,plain,
( ( nil = sK56 )
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67610,c_9004]) ).
tcf(c_67652,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK56,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67621,c_9004]) ).
tcf(c_67657,plain,
! [X0: $i] :
( rearsegP(app(sK59,app(sK56,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67620,c_9004]) ).
tcf(c_67662,plain,
( ( app(sK59,sK56) = nil )
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67609,c_9004]) ).
tcf(c_67666,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK56,sK56)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK56))
| ~ memberP(app(sK59,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67618,c_9004]) ).
tcf(c_67671,plain,
! [X0: $i] :
( frontsegP(app(sK59,app(sK56,sK56)),X0)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ~ frontsegP(app(sK59,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67617,c_9004]) ).
tcf(c_67676,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK59,app(sK56,sK56)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67619,c_9004]) ).
tcf(c_67682,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(app(sK59,sK56),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK56))
| ~ memberP(app(sK59,app(sK56,sK56)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67608,c_9004]) ).
tcf(c_67688,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ( app(app(sK59,sK56),X0) != app(sK59,app(sK56,sK56)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67616,c_9004]) ).
tcf(c_67693,plain,
! [X0: $i] :
( ( app(sK59,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK56)) != app(X0,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67614,c_9004]) ).
tcf(c_67698,plain,
! [X0: $i] :
( segmentP(app(app(sK59,app(sK56,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(app(sK59,app(sK56,sK56)),X0)) ),
inference(light_normalisation,[status(thm)],[c_67605,c_67363]) ).
tcf(c_67699,plain,
! [X0: $i] :
( segmentP(app(app(sK59,app(sK56,sK56)),X0),sK56)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(app(sK59,app(sK56,sK56)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67698,c_9004]) ).
tcf(c_67956,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),app(sK59,app(sK56,sK56))) = app(X0,app(X1,app(sK59,app(sK56,sK56)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_228]) ).
tcf(c_67957,plain,
( ( app(app(sK59,app(sK59,app(sK56,sK56))),sK56) = app(sK59,app(app(sK59,app(sK56,sK56)),sK56)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_64253]) ).
tcf(c_67958,plain,
( ( app(app(sK56,app(sK59,app(sK56,sK56))),sK56) = app(sK56,app(app(sK59,app(sK56,sK56)),sK56)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_64252]) ).
tcf(c_67959,plain,
! [X0: $i] :
( ( app(app(app(sK59,app(sK56,sK56)),X0),sK56) = app(app(sK59,app(sK56,sK56)),app(X0,sK56)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_23049]) ).
tcf(c_67960,plain,
( ( hd(app(iPr_def_11,app(sK59,app(sK56,sK56)))) = sK57 )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_19361]) ).
tcf(c_67961,plain,
( ( hd(cons(sK60,app(sK59,app(sK56,sK56)))) = sK60 )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_19068]) ).
tcf(c_67962,plain,
( ( tl(cons(sK60,app(sK59,app(sK56,sK56)))) = app(sK59,app(sK56,sK56)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_19067]) ).
tcf(c_67963,plain,
( ( cons(sK57,app(app(sK59,app(sK56,sK56)),sK58)) = app(cons(sK57,app(sK59,app(sK56,sK56))),sK58) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_37537]) ).
tcf(c_67964,plain,
( ( tl(cons(sK7,app(sK59,app(sK56,sK56)))) = app(sK59,app(sK56,sK56)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_14098]) ).
tcf(c_67965,plain,
( ( tl(cons(sK6,app(sK59,app(sK56,sK56)))) = app(sK59,app(sK56,sK56)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_14097]) ).
tcf(c_67966,plain,
( ( cons(sK57,app(app(sK59,app(sK56,sK56)),sK59)) = app(cons(sK57,app(sK59,app(sK56,sK56))),sK59) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_37536]) ).
tcf(c_67967,plain,
( ( hd(cons(sK7,app(sK59,app(sK56,sK56)))) = sK7 )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_13924]) ).
tcf(c_67968,plain,
( ( hd(cons(sK6,app(sK59,app(sK56,sK56)))) = sK6 )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_13923]) ).
tcf(c_67969,plain,
( ( cons(sK57,app(app(sK59,app(sK56,sK56)),sK56)) = app(cons(sK57,app(sK59,app(sK56,sK56))),sK56) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_37535]) ).
tcf(c_67970,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,app(sK59,app(sK56,sK56)))) = app(cons(sK57,X0),app(sK59,app(sK56,sK56))) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_22705]) ).
tcf(c_67971,plain,
( ( nil = sK58 )
| ( app(tl(sK58),app(sK59,app(sK56,sK56))) = tl(app(sK58,app(sK59,app(sK56,sK56)))) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_21826]) ).
tcf(c_67972,plain,
( ( nil = sK59 )
| ( app(tl(sK59),app(sK59,app(sK56,sK56))) = tl(app(sK59,app(sK59,app(sK56,sK56)))) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_21825]) ).
tcf(c_67973,plain,
( ( nil = sK56 )
| ( app(tl(sK56),app(sK59,app(sK56,sK56))) = tl(app(sK56,app(sK59,app(sK56,sK56)))) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_21824]) ).
tcf(c_67974,plain,
( duplicatefreeP(app(sK59,app(sK56,sK56)))
| ( app(app(sK42(app(sK59,app(sK56,sK56))),cons(sK40(app(sK59,app(sK56,sK56))),sK43(app(sK59,app(sK56,sK56))))),cons(sK41(app(sK59,app(sK56,sK56))),sK44(app(sK59,app(sK56,sK56))))) = app(sK59,app(sK56,sK56)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_124]) ).
tcf(c_67975,plain,
( strictorderedP(app(sK59,app(sK56,sK56)))
| ( app(app(sK37(app(sK59,app(sK56,sK56))),cons(sK35(app(sK59,app(sK56,sK56))),sK38(app(sK59,app(sK56,sK56))))),cons(sK36(app(sK59,app(sK56,sK56))),sK39(app(sK59,app(sK56,sK56))))) = app(sK59,app(sK56,sK56)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_116]) ).
tcf(c_67976,plain,
( totalorderedP(app(sK59,app(sK56,sK56)))
| ( app(app(sK32(app(sK59,app(sK56,sK56))),cons(sK30(app(sK59,app(sK56,sK56))),sK33(app(sK59,app(sK56,sK56))))),cons(sK31(app(sK59,app(sK56,sK56))),sK34(app(sK59,app(sK56,sK56))))) = app(sK59,app(sK56,sK56)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_108]) ).
tcf(c_67977,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK59,app(sK56,sK56)))) = hd(sK58) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_19350]) ).
tcf(c_67978,plain,
! [X0: $i] :
( ( app(sK59,app(sK56,sK56)) = nil )
| ( app(tl(app(sK59,app(sK56,sK56))),X0) = tl(app(app(sK59,app(sK56,sK56)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_234]) ).
tcf(c_67979,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK59,app(sK56,sK56)))) = hd(sK59) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_19349]) ).
tcf(c_67980,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK59,app(sK56,sK56)))) = hd(sK56) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_19348]) ).
tcf(c_67981,plain,
( equalelemsP(app(sK59,app(sK56,sK56)))
| ( app(sK47(app(sK59,app(sK56,sK56))),cons(sK45(app(sK59,app(sK56,sK56))),cons(sK46(app(sK59,app(sK56,sK56))),sK48(app(sK59,app(sK56,sK56)))))) = app(sK59,app(sK56,sK56)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_132]) ).
tcf(c_67982,plain,
! [X0: $i] :
( ( app(sK59,app(sK56,sK56)) = nil )
| ( hd(app(app(sK59,app(sK56,sK56)),X0)) = hd(app(sK59,app(sK56,sK56))) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_233]) ).
tcf(c_67983,plain,
( ( app(sK59,app(sK56,sK56)) = nil )
| ( cons(hd(app(sK59,app(sK56,sK56))),tl(app(sK59,app(sK56,sK56)))) = app(sK59,app(sK56,sK56)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_224]) ).
tcf(c_67984,plain,
( ( app(sK59,app(sK56,sK56)) = nil )
| ( cons(sK50(app(sK59,app(sK56,sK56))),sK49(app(sK59,app(sK56,sK56)))) = app(sK59,app(sK56,sK56)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_147]) ).
tcf(c_67985,plain,
( ( tl(cons(sK57,app(sK59,app(sK56,sK56)))) = app(sK59,app(sK56,sK56)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_14117]) ).
tcf(c_67986,plain,
( ( hd(cons(sK57,app(sK59,app(sK56,sK56)))) = sK57 )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_13943]) ).
tcf(c_67987,plain,
( ( app(sK59,app(sK56,sK56)) = nil )
| ( tl(app(sK59,app(sK56,sK56))) = sK52(app(sK59,app(sK56,sK56))) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_222]) ).
tcf(c_67988,plain,
( ( app(sK59,app(sK56,sK56)) = nil )
| ( hd(app(sK59,app(sK56,sK56))) = sK51(app(sK59,app(sK56,sK56))) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_220]) ).
tcf(c_67989,plain,
( duplicatefreeP(app(sK59,app(sK56,sK56)))
| ( sK40(app(sK59,app(sK56,sK56))) = sK41(app(sK59,app(sK56,sK56))) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_123]) ).
tcf(c_67990,plain,
( ( app(app(sK59,app(sK56,sK56)),nil) = app(sK59,app(sK56,sK56)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_232]) ).
tcf(c_67991,plain,
( ( app(nil,app(sK59,app(sK56,sK56))) = app(sK59,app(sK56,sK56)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_155]) ).
tcf(c_68184,plain,
! [X0: $i] :
( segmentP(app(app(sK59,app(sK59,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(app(app(sK59,sK59),sK56),X0)) ),
inference(superposition,[status(thm)],[c_67364,c_67]) ).
tcf(c_68187,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(app(sK59,sK59),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK59))
| ~ memberP(app(sK59,app(sK59,sK56)),X0) ),
inference(superposition,[status(thm)],[c_67364,c_167]) ).
tcf(c_68188,plain,
( ( app(sK59,sK59) = nil )
| ~ ssList(sK56)
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_67364,c_231]) ).
tcf(c_68189,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_67364,c_230]) ).
tcf(c_68190,plain,
( frontsegP(app(sK59,app(sK59,sK56)),app(sK59,sK59))
| ~ ssList(sK56)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_67364,c_386]) ).
tcf(c_68191,plain,
( rearsegP(app(sK59,app(sK59,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_67364,c_383]) ).
tcf(c_68192,plain,
( ssList(app(sK59,app(sK59,sK56)))
| ~ ssList(sK56)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_67364,c_153]) ).
tcf(c_68193,plain,
! [X0: $i] :
( ( app(sK59,sK59) = X0 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK56)) != app(X0,sK56) ) ),
inference(superposition,[status(thm)],[c_67364,c_225]) ).
tcf(c_68194,plain,
( segmentP(app(sK59,app(sK59,sK56)),sK59)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(app(app(sK59,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_67364,c_67]) ).
tcf(c_68195,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ( app(app(sK59,sK59),X0) != app(sK59,app(sK59,sK56)) ) ),
inference(superposition,[status(thm)],[c_67364,c_226]) ).
tcf(c_68196,plain,
! [X0: $i] :
( frontsegP(app(sK59,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ~ frontsegP(app(sK59,sK59),X0) ),
inference(superposition,[status(thm)],[c_67364,c_176]) ).
tcf(c_68197,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK59))
| ~ memberP(app(sK59,sK59),X0) ),
inference(superposition,[status(thm)],[c_67364,c_165]) ).
tcf(c_68198,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK59,app(sK59,sK56)),X1),X0)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_67364,c_193]) ).
tcf(c_68199,plain,
! [X0: $i] :
( rearsegP(app(sK59,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_67364,c_186]) ).
tcf(c_68200,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_67364,c_166]) ).
tcf(c_68201,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK59,sK56)),X0)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_67364,c_193]) ).
tcf(c_68202,plain,
( ( app(sK59,sK59) = iPr_def_11 )
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK56)) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_67364,c_39002]) ).
tcf(c_68203,plain,
( ( app(sK59,sK59) = nil )
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_67364,c_25412]) ).
tcf(c_68204,plain,
( ssList(app(sK59,app(sK59,sK56)))
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68192,c_9004]) ).
tcf(c_68207,plain,
( rearsegP(app(sK59,app(sK59,sK56)),sK56)
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68191,c_9004]) ).
tcf(c_68210,plain,
( frontsegP(app(sK59,app(sK59,sK56)),app(sK59,sK59))
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68190,c_9004]) ).
tcf(c_68216,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK59,sK56)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68201,c_9003,c_9004]) ).
tcf(c_68220,plain,
( segmentP(app(sK59,app(sK59,sK56)),sK59)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(app(sK59,app(sK59,sK56))) ),
inference(light_normalisation,[status(thm)],[c_68194,c_67364]) ).
tcf(c_68221,plain,
( segmentP(app(sK59,app(sK59,sK56)),sK59)
| ~ ssList(app(sK59,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68220,c_9003,c_9004]) ).
tcf(c_68224,plain,
( ( nil = sK56 )
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68189,c_9004]) ).
tcf(c_68231,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK59,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68200,c_9004]) ).
tcf(c_68236,plain,
! [X0: $i] :
( rearsegP(app(sK59,app(sK59,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68199,c_9004]) ).
tcf(c_68241,plain,
( ( app(sK59,sK59) = nil )
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68188,c_9004]) ).
tcf(c_68245,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK59,sK56)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK59))
| ~ memberP(app(sK59,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68197,c_9004]) ).
tcf(c_68250,plain,
! [X0: $i] :
( frontsegP(app(sK59,app(sK59,sK56)),X0)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ~ frontsegP(app(sK59,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68196,c_9004]) ).
tcf(c_68255,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK59,app(sK59,sK56)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68198,c_9004]) ).
tcf(c_68261,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(app(sK59,sK59),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK59))
| ~ memberP(app(sK59,app(sK59,sK56)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68187,c_9004]) ).
tcf(c_68267,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ( app(app(sK59,sK59),X0) != app(sK59,app(sK59,sK56)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68195,c_9004]) ).
tcf(c_68272,plain,
! [X0: $i] :
( ( app(sK59,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK56)) != app(X0,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68193,c_9004]) ).
tcf(c_68277,plain,
! [X0: $i] :
( segmentP(app(app(sK59,app(sK59,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(app(sK59,app(sK59,sK56)),X0)) ),
inference(light_normalisation,[status(thm)],[c_68184,c_67364]) ).
tcf(c_68278,plain,
! [X0: $i] :
( segmentP(app(app(sK59,app(sK59,sK56)),X0),sK56)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(app(sK59,app(sK59,sK56)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68277,c_9004]) ).
tcf(c_68297,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),app(sK59,app(sK59,sK56))) = app(X0,app(X1,app(sK59,app(sK59,sK56)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_228]) ).
tcf(c_68298,plain,
( ( app(app(sK59,app(sK59,app(sK59,sK56))),sK56) = app(sK59,app(app(sK59,app(sK59,sK56)),sK56)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_64253]) ).
tcf(c_68299,plain,
( ( app(app(sK56,app(sK59,app(sK59,sK56))),sK56) = app(sK56,app(app(sK59,app(sK59,sK56)),sK56)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_64252]) ).
tcf(c_68300,plain,
! [X0: $i] :
( ( app(app(app(sK59,app(sK59,sK56)),X0),sK56) = app(app(sK59,app(sK59,sK56)),app(X0,sK56)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_23049]) ).
tcf(c_68301,plain,
( ( hd(app(iPr_def_11,app(sK59,app(sK59,sK56)))) = sK57 )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_19361]) ).
tcf(c_68302,plain,
( ( hd(cons(sK60,app(sK59,app(sK59,sK56)))) = sK60 )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_19068]) ).
tcf(c_68303,plain,
( ( tl(cons(sK60,app(sK59,app(sK59,sK56)))) = app(sK59,app(sK59,sK56)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_19067]) ).
tcf(c_68304,plain,
( ( cons(sK57,app(app(sK59,app(sK59,sK56)),sK58)) = app(cons(sK57,app(sK59,app(sK59,sK56))),sK58) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_37537]) ).
tcf(c_68305,plain,
( ( tl(cons(sK7,app(sK59,app(sK59,sK56)))) = app(sK59,app(sK59,sK56)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_14098]) ).
tcf(c_68306,plain,
( ( tl(cons(sK6,app(sK59,app(sK59,sK56)))) = app(sK59,app(sK59,sK56)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_14097]) ).
tcf(c_68307,plain,
( ( cons(sK57,app(app(sK59,app(sK59,sK56)),sK59)) = app(cons(sK57,app(sK59,app(sK59,sK56))),sK59) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_37536]) ).
tcf(c_68308,plain,
( ( hd(cons(sK7,app(sK59,app(sK59,sK56)))) = sK7 )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_13924]) ).
tcf(c_68309,plain,
( ( hd(cons(sK6,app(sK59,app(sK59,sK56)))) = sK6 )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_13923]) ).
tcf(c_68310,plain,
( ( cons(sK57,app(app(sK59,app(sK59,sK56)),sK56)) = app(cons(sK57,app(sK59,app(sK59,sK56))),sK56) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_37535]) ).
tcf(c_68311,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,app(sK59,app(sK59,sK56)))) = app(cons(sK57,X0),app(sK59,app(sK59,sK56))) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_22705]) ).
tcf(c_68312,plain,
( ( nil = sK58 )
| ( app(tl(sK58),app(sK59,app(sK59,sK56))) = tl(app(sK58,app(sK59,app(sK59,sK56)))) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_21826]) ).
tcf(c_68313,plain,
( ( nil = sK59 )
| ( app(tl(sK59),app(sK59,app(sK59,sK56))) = tl(app(sK59,app(sK59,app(sK59,sK56)))) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_21825]) ).
tcf(c_68314,plain,
( ( nil = sK56 )
| ( app(tl(sK56),app(sK59,app(sK59,sK56))) = tl(app(sK56,app(sK59,app(sK59,sK56)))) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_21824]) ).
tcf(c_68315,plain,
( duplicatefreeP(app(sK59,app(sK59,sK56)))
| ( app(app(sK42(app(sK59,app(sK59,sK56))),cons(sK40(app(sK59,app(sK59,sK56))),sK43(app(sK59,app(sK59,sK56))))),cons(sK41(app(sK59,app(sK59,sK56))),sK44(app(sK59,app(sK59,sK56))))) = app(sK59,app(sK59,sK56)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_124]) ).
tcf(c_68316,plain,
( strictorderedP(app(sK59,app(sK59,sK56)))
| ( app(app(sK37(app(sK59,app(sK59,sK56))),cons(sK35(app(sK59,app(sK59,sK56))),sK38(app(sK59,app(sK59,sK56))))),cons(sK36(app(sK59,app(sK59,sK56))),sK39(app(sK59,app(sK59,sK56))))) = app(sK59,app(sK59,sK56)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_116]) ).
tcf(c_68317,plain,
( totalorderedP(app(sK59,app(sK59,sK56)))
| ( app(app(sK32(app(sK59,app(sK59,sK56))),cons(sK30(app(sK59,app(sK59,sK56))),sK33(app(sK59,app(sK59,sK56))))),cons(sK31(app(sK59,app(sK59,sK56))),sK34(app(sK59,app(sK59,sK56))))) = app(sK59,app(sK59,sK56)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_108]) ).
tcf(c_68318,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK59,app(sK59,sK56)))) = hd(sK58) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_19350]) ).
tcf(c_68319,plain,
! [X0: $i] :
( ( app(sK59,app(sK59,sK56)) = nil )
| ( app(tl(app(sK59,app(sK59,sK56))),X0) = tl(app(app(sK59,app(sK59,sK56)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_234]) ).
tcf(c_68320,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK59,app(sK59,sK56)))) = hd(sK59) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_19349]) ).
tcf(c_68321,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK59,app(sK59,sK56)))) = hd(sK56) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_19348]) ).
tcf(c_68322,plain,
( equalelemsP(app(sK59,app(sK59,sK56)))
| ( app(sK47(app(sK59,app(sK59,sK56))),cons(sK45(app(sK59,app(sK59,sK56))),cons(sK46(app(sK59,app(sK59,sK56))),sK48(app(sK59,app(sK59,sK56)))))) = app(sK59,app(sK59,sK56)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_132]) ).
tcf(c_68323,plain,
! [X0: $i] :
( ( app(sK59,app(sK59,sK56)) = nil )
| ( hd(app(app(sK59,app(sK59,sK56)),X0)) = hd(app(sK59,app(sK59,sK56))) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_233]) ).
tcf(c_68324,plain,
( ( app(sK59,app(sK59,sK56)) = nil )
| ( cons(hd(app(sK59,app(sK59,sK56))),tl(app(sK59,app(sK59,sK56)))) = app(sK59,app(sK59,sK56)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_224]) ).
tcf(c_68325,plain,
( ( app(sK59,app(sK59,sK56)) = nil )
| ( cons(sK50(app(sK59,app(sK59,sK56))),sK49(app(sK59,app(sK59,sK56)))) = app(sK59,app(sK59,sK56)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_147]) ).
tcf(c_68326,plain,
( ( tl(cons(sK57,app(sK59,app(sK59,sK56)))) = app(sK59,app(sK59,sK56)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_14117]) ).
tcf(c_68327,plain,
( ( hd(cons(sK57,app(sK59,app(sK59,sK56)))) = sK57 )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_13943]) ).
tcf(c_68328,plain,
( ( app(sK59,app(sK59,sK56)) = nil )
| ( tl(app(sK59,app(sK59,sK56))) = sK52(app(sK59,app(sK59,sK56))) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_222]) ).
tcf(c_68329,plain,
( ( app(sK59,app(sK59,sK56)) = nil )
| ( hd(app(sK59,app(sK59,sK56))) = sK51(app(sK59,app(sK59,sK56))) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_220]) ).
tcf(c_68330,plain,
( duplicatefreeP(app(sK59,app(sK59,sK56)))
| ( sK40(app(sK59,app(sK59,sK56))) = sK41(app(sK59,app(sK59,sK56))) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_123]) ).
tcf(c_68331,plain,
( ( app(app(sK59,app(sK59,sK56)),nil) = app(sK59,app(sK59,sK56)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_232]) ).
tcf(c_68332,plain,
( ( app(nil,app(sK59,app(sK59,sK56))) = app(sK59,app(sK59,sK56)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_155]) ).
tcf(c_68485,plain,
! [X0: $i] :
( segmentP(app(app(sK59,app(sK58,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(app(app(sK59,sK58),sK56),X0)) ),
inference(superposition,[status(thm)],[c_67365,c_67]) ).
tcf(c_68488,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(app(sK59,sK58),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK58))
| ~ memberP(app(sK59,app(sK58,sK56)),X0) ),
inference(superposition,[status(thm)],[c_67365,c_167]) ).
tcf(c_68489,plain,
( ( app(sK59,sK58) = nil )
| ~ ssList(sK56)
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_67365,c_231]) ).
tcf(c_68490,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_67365,c_230]) ).
tcf(c_68491,plain,
( frontsegP(app(sK59,app(sK58,sK56)),app(sK59,sK58))
| ~ ssList(sK56)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_67365,c_386]) ).
tcf(c_68492,plain,
( rearsegP(app(sK59,app(sK58,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_67365,c_383]) ).
tcf(c_68493,plain,
( ssList(app(sK59,app(sK58,sK56)))
| ~ ssList(sK56)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_67365,c_153]) ).
tcf(c_68494,plain,
! [X0: $i] :
( ( app(sK59,sK58) = X0 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK56)) != app(X0,sK56) ) ),
inference(superposition,[status(thm)],[c_67365,c_225]) ).
tcf(c_68495,plain,
( segmentP(app(sK59,app(sK58,sK56)),sK58)
| ~ ssList(sK58)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(app(app(sK59,sK58),sK56)) ),
inference(superposition,[status(thm)],[c_67365,c_67]) ).
tcf(c_68496,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ( app(app(sK59,sK58),X0) != app(sK59,app(sK58,sK56)) ) ),
inference(superposition,[status(thm)],[c_67365,c_226]) ).
tcf(c_68497,plain,
! [X0: $i] :
( frontsegP(app(sK59,app(sK58,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ~ frontsegP(app(sK59,sK58),X0) ),
inference(superposition,[status(thm)],[c_67365,c_176]) ).
tcf(c_68498,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK58,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK58))
| ~ memberP(app(sK59,sK58),X0) ),
inference(superposition,[status(thm)],[c_67365,c_165]) ).
tcf(c_68499,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK59,app(sK58,sK56)),X1),X0)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_67365,c_193]) ).
tcf(c_68500,plain,
! [X0: $i] :
( rearsegP(app(sK59,app(sK58,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_67365,c_186]) ).
tcf(c_68501,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK58,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_67365,c_166]) ).
tcf(c_68502,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK58,sK56)),X0)
| ~ ssList(sK58)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_67365,c_193]) ).
tcf(c_68503,plain,
( ( app(sK59,sK58) = iPr_def_11 )
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK56)) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_67365,c_39002]) ).
tcf(c_68504,plain,
( ( app(sK59,sK58) = nil )
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_67365,c_25412]) ).
tcf(c_68505,plain,
( ssList(app(sK59,app(sK58,sK56)))
| ~ ssList(app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68493,c_9004]) ).
tcf(c_68508,plain,
( rearsegP(app(sK59,app(sK58,sK56)),sK56)
| ~ ssList(app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68492,c_9004]) ).
tcf(c_68511,plain,
( frontsegP(app(sK59,app(sK58,sK56)),app(sK59,sK58))
| ~ ssList(app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68491,c_9004]) ).
tcf(c_68517,plain,
( ( nil = sK56 )
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68490,c_9004]) ).
tcf(c_68524,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK58,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68501,c_9004]) ).
tcf(c_68529,plain,
! [X0: $i] :
( rearsegP(app(sK59,app(sK58,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68500,c_9004]) ).
tcf(c_68534,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK58,sK56)),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68502,c_9000,c_9003,c_9004]) ).
tcf(c_68538,plain,
( segmentP(app(sK59,app(sK58,sK56)),sK58)
| ~ ssList(sK58)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(app(sK59,app(sK58,sK56))) ),
inference(light_normalisation,[status(thm)],[c_68495,c_67365]) ).
tcf(c_68539,plain,
( segmentP(app(sK59,app(sK58,sK56)),sK58)
| ~ ssList(app(sK59,app(sK58,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68538,c_9000,c_9003,c_9004]) ).
tcf(c_68542,plain,
( ( app(sK59,sK58) = nil )
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68489,c_9004]) ).
tcf(c_68546,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK58,sK56)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK58))
| ~ memberP(app(sK59,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68498,c_9004]) ).
tcf(c_68551,plain,
! [X0: $i] :
( frontsegP(app(sK59,app(sK58,sK56)),X0)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ~ frontsegP(app(sK59,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68497,c_9004]) ).
tcf(c_68556,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK59,app(sK58,sK56)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68499,c_9004]) ).
tcf(c_68562,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(app(sK59,sK58),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK58))
| ~ memberP(app(sK59,app(sK58,sK56)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68488,c_9004]) ).
tcf(c_68568,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ( app(app(sK59,sK58),X0) != app(sK59,app(sK58,sK56)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68496,c_9004]) ).
tcf(c_68573,plain,
! [X0: $i] :
( ( app(sK59,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK56)) != app(X0,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68494,c_9004]) ).
tcf(c_68578,plain,
! [X0: $i] :
( segmentP(app(app(sK59,app(sK58,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(app(sK59,app(sK58,sK56)),X0)) ),
inference(light_normalisation,[status(thm)],[c_68485,c_67365]) ).
tcf(c_68579,plain,
! [X0: $i] :
( segmentP(app(app(sK59,app(sK58,sK56)),X0),sK56)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(app(sK59,app(sK58,sK56)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68578,c_9004]) ).
tcf(c_68635,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),app(sK59,app(sK58,sK56))) = app(X0,app(X1,app(sK59,app(sK58,sK56)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_228]) ).
tcf(c_68636,plain,
( ( app(app(sK59,app(sK59,app(sK58,sK56))),sK56) = app(sK59,app(app(sK59,app(sK58,sK56)),sK56)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_64253]) ).
tcf(c_68637,plain,
( ( app(app(sK56,app(sK59,app(sK58,sK56))),sK56) = app(sK56,app(app(sK59,app(sK58,sK56)),sK56)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_64252]) ).
tcf(c_68638,plain,
! [X0: $i] :
( ( app(app(app(sK59,app(sK58,sK56)),X0),sK56) = app(app(sK59,app(sK58,sK56)),app(X0,sK56)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_23049]) ).
tcf(c_68639,plain,
( ( hd(app(iPr_def_11,app(sK59,app(sK58,sK56)))) = sK57 )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_19361]) ).
tcf(c_68640,plain,
( ( hd(cons(sK60,app(sK59,app(sK58,sK56)))) = sK60 )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_19068]) ).
tcf(c_68641,plain,
( ( tl(cons(sK60,app(sK59,app(sK58,sK56)))) = app(sK59,app(sK58,sK56)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_19067]) ).
tcf(c_68642,plain,
( ( cons(sK57,app(app(sK59,app(sK58,sK56)),sK58)) = app(cons(sK57,app(sK59,app(sK58,sK56))),sK58) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_37537]) ).
tcf(c_68643,plain,
( ( tl(cons(sK7,app(sK59,app(sK58,sK56)))) = app(sK59,app(sK58,sK56)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_14098]) ).
tcf(c_68644,plain,
( ( tl(cons(sK6,app(sK59,app(sK58,sK56)))) = app(sK59,app(sK58,sK56)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_14097]) ).
tcf(c_68645,plain,
( ( cons(sK57,app(app(sK59,app(sK58,sK56)),sK59)) = app(cons(sK57,app(sK59,app(sK58,sK56))),sK59) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_37536]) ).
tcf(c_68646,plain,
( ( hd(cons(sK7,app(sK59,app(sK58,sK56)))) = sK7 )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_13924]) ).
tcf(c_68647,plain,
( ( hd(cons(sK6,app(sK59,app(sK58,sK56)))) = sK6 )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_13923]) ).
tcf(c_68648,plain,
( ( cons(sK57,app(app(sK59,app(sK58,sK56)),sK56)) = app(cons(sK57,app(sK59,app(sK58,sK56))),sK56) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_37535]) ).
tcf(c_68649,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,app(sK59,app(sK58,sK56)))) = app(cons(sK57,X0),app(sK59,app(sK58,sK56))) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_22705]) ).
tcf(c_68650,plain,
( ( nil = sK58 )
| ( app(tl(sK58),app(sK59,app(sK58,sK56))) = tl(app(sK58,app(sK59,app(sK58,sK56)))) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_21826]) ).
tcf(c_68651,plain,
( ( nil = sK59 )
| ( app(tl(sK59),app(sK59,app(sK58,sK56))) = tl(app(sK59,app(sK59,app(sK58,sK56)))) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_21825]) ).
tcf(c_68652,plain,
( ( nil = sK56 )
| ( app(tl(sK56),app(sK59,app(sK58,sK56))) = tl(app(sK56,app(sK59,app(sK58,sK56)))) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_21824]) ).
tcf(c_68653,plain,
( duplicatefreeP(app(sK59,app(sK58,sK56)))
| ( app(app(sK42(app(sK59,app(sK58,sK56))),cons(sK40(app(sK59,app(sK58,sK56))),sK43(app(sK59,app(sK58,sK56))))),cons(sK41(app(sK59,app(sK58,sK56))),sK44(app(sK59,app(sK58,sK56))))) = app(sK59,app(sK58,sK56)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_124]) ).
tcf(c_68654,plain,
( strictorderedP(app(sK59,app(sK58,sK56)))
| ( app(app(sK37(app(sK59,app(sK58,sK56))),cons(sK35(app(sK59,app(sK58,sK56))),sK38(app(sK59,app(sK58,sK56))))),cons(sK36(app(sK59,app(sK58,sK56))),sK39(app(sK59,app(sK58,sK56))))) = app(sK59,app(sK58,sK56)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_116]) ).
tcf(c_68655,plain,
( totalorderedP(app(sK59,app(sK58,sK56)))
| ( app(app(sK32(app(sK59,app(sK58,sK56))),cons(sK30(app(sK59,app(sK58,sK56))),sK33(app(sK59,app(sK58,sK56))))),cons(sK31(app(sK59,app(sK58,sK56))),sK34(app(sK59,app(sK58,sK56))))) = app(sK59,app(sK58,sK56)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_108]) ).
tcf(c_68656,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK59,app(sK58,sK56)))) = hd(sK58) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_19350]) ).
tcf(c_68657,plain,
! [X0: $i] :
( ( app(sK59,app(sK58,sK56)) = nil )
| ( app(tl(app(sK59,app(sK58,sK56))),X0) = tl(app(app(sK59,app(sK58,sK56)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_234]) ).
tcf(c_68658,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK59,app(sK58,sK56)))) = hd(sK59) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_19349]) ).
tcf(c_68659,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK59,app(sK58,sK56)))) = hd(sK56) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_19348]) ).
tcf(c_68660,plain,
( equalelemsP(app(sK59,app(sK58,sK56)))
| ( app(sK47(app(sK59,app(sK58,sK56))),cons(sK45(app(sK59,app(sK58,sK56))),cons(sK46(app(sK59,app(sK58,sK56))),sK48(app(sK59,app(sK58,sK56)))))) = app(sK59,app(sK58,sK56)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_132]) ).
tcf(c_68661,plain,
! [X0: $i] :
( ( app(sK59,app(sK58,sK56)) = nil )
| ( hd(app(app(sK59,app(sK58,sK56)),X0)) = hd(app(sK59,app(sK58,sK56))) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_233]) ).
tcf(c_68662,plain,
( ( app(sK59,app(sK58,sK56)) = nil )
| ( cons(hd(app(sK59,app(sK58,sK56))),tl(app(sK59,app(sK58,sK56)))) = app(sK59,app(sK58,sK56)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_224]) ).
tcf(c_68663,plain,
( ( app(sK59,app(sK58,sK56)) = nil )
| ( cons(sK50(app(sK59,app(sK58,sK56))),sK49(app(sK59,app(sK58,sK56)))) = app(sK59,app(sK58,sK56)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_147]) ).
tcf(c_68664,plain,
( ( tl(cons(sK57,app(sK59,app(sK58,sK56)))) = app(sK59,app(sK58,sK56)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_14117]) ).
tcf(c_68665,plain,
( ( hd(cons(sK57,app(sK59,app(sK58,sK56)))) = sK57 )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_13943]) ).
tcf(c_68666,plain,
( ( app(sK59,app(sK58,sK56)) = nil )
| ( tl(app(sK59,app(sK58,sK56))) = sK52(app(sK59,app(sK58,sK56))) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_222]) ).
tcf(c_68667,plain,
( ( app(sK59,app(sK58,sK56)) = nil )
| ( hd(app(sK59,app(sK58,sK56))) = sK51(app(sK59,app(sK58,sK56))) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_220]) ).
tcf(c_68668,plain,
( duplicatefreeP(app(sK59,app(sK58,sK56)))
| ( sK40(app(sK59,app(sK58,sK56))) = sK41(app(sK59,app(sK58,sK56))) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_123]) ).
tcf(c_68669,plain,
( ( app(app(sK59,app(sK58,sK56)),nil) = app(sK59,app(sK58,sK56)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_232]) ).
tcf(c_68670,plain,
( ( app(nil,app(sK59,app(sK58,sK56))) = app(sK59,app(sK58,sK56)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_155]) ).
tcf(c_68833,plain,
( duplicatefreeP(nil)
| ( sK40(nil) = sK41(nil) ) ),
inference(light_normalisation,[status(thm)],[c_14743,c_14968]) ).
tcf(c_68866,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_53378,c_183]) ).
tcf(c_68867,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_53378,c_184]) ).
tcf(c_68868,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_53378,c_66]) ).
tcf(c_68869,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_68868,c_12995]) ).
tcf(c_68872,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_68867,c_12995]) ).
tcf(c_68876,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_68866,c_12995]) ).
tcf(c_68881,plain,
rearsegP(iPr_def_10,sK11(nil,nil)),
inference(global_subsumption_just,[status(thm)],[c_53402,c_141,c_181,c_330,c_53402]) ).
tcf(c_68883,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_68881,c_183]) ).
tcf(c_68884,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_68881,c_184]) ).
tcf(c_68885,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_68881,c_66]) ).
tcf(c_68886,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_68885,c_18402]) ).
tcf(c_68889,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_68884,c_18402]) ).
tcf(c_68893,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_68883,c_18402]) ).
tcf(c_68977,plain,
rearsegP(iPr_def_11,sK11(nil,nil)),
inference(global_subsumption_just,[status(thm)],[c_53403,c_141,c_181,c_330,c_53403]) ).
tcf(c_68979,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_68977,c_183]) ).
tcf(c_68980,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_68977,c_184]) ).
tcf(c_68981,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_68977,c_66]) ).
tcf(c_68983,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_68981,c_12859]) ).
tcf(c_68986,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_68980,c_12859]) ).
tcf(c_68990,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_68979,c_12859]) ).
tcf(c_68995,plain,
rearsegP(iPr_def_12,sK11(nil,nil)),
inference(global_subsumption_just,[status(thm)],[c_53404,c_141,c_181,c_330,c_53404]) ).
tcf(c_68997,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),X0) ),
inference(superposition,[status(thm)],[c_68995,c_183]) ).
tcf(c_68998,plain,
( ( sK11(nil,nil) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),iPr_def_12) ),
inference(superposition,[status(thm)],[c_68995,c_184]) ).
tcf(c_68999,plain,
( ( app(sK12(iPr_def_12,sK11(nil,nil)),sK11(nil,nil)) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_68995,c_66]) ).
tcf(c_69000,plain,
( ( app(sK12(iPr_def_12,sK11(nil,nil)),sK11(nil,nil)) = iPr_def_12 )
| ~ ssList(sK11(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68999,c_12995]) ).
tcf(c_69003,plain,
( ( sK11(nil,nil) = iPr_def_12 )
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68998,c_12995]) ).
tcf(c_69007,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68997,c_12995]) ).
tcf(c_69127,plain,
! [X0: $i] :
( rearsegP(app(sK59,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(sK59,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_67628,c_183]) ).
tcf(c_69128,plain,
( ( app(sK59,app(sK56,sK56)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(sK59,app(sK56,sK56)))
| ~ rearsegP(sK56,app(sK59,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_67628,c_184]) ).
tcf(c_69129,plain,
( ( app(sK12(app(sK59,app(sK56,sK56)),sK56),sK56) = app(sK59,app(sK56,sK56)) )
| ~ ssList(sK56)
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(sK59,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_67628,c_66]) ).
tcf(c_69131,plain,
( ( app(sK12(app(sK59,app(sK56,sK56)),sK56),sK56) = app(sK59,app(sK56,sK56)) )
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(sK59,app(sK56,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69129,c_9004]) ).
tcf(c_69135,plain,
( ( app(sK59,app(sK56,sK56)) = sK56 )
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(sK59,app(sK56,sK56)))
| ~ rearsegP(sK56,app(sK59,app(sK56,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69128,c_9004]) ).
tcf(c_69144,plain,
! [X0: $i] :
( rearsegP(app(sK59,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(sK59,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_68207,c_183]) ).
tcf(c_69145,plain,
( ( app(sK59,app(sK59,sK56)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(sK59,app(sK59,sK56)))
| ~ rearsegP(sK56,app(sK59,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_68207,c_184]) ).
tcf(c_69146,plain,
( ( app(sK12(app(sK59,app(sK59,sK56)),sK56),sK56) = app(sK59,app(sK59,sK56)) )
| ~ ssList(sK56)
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(sK59,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_68207,c_66]) ).
tcf(c_69148,plain,
( ( app(sK12(app(sK59,app(sK59,sK56)),sK56),sK56) = app(sK59,app(sK59,sK56)) )
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(sK59,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69146,c_9004]) ).
tcf(c_69152,plain,
( ( app(sK59,app(sK59,sK56)) = sK56 )
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(sK59,app(sK59,sK56)))
| ~ rearsegP(sK56,app(sK59,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69145,c_9004]) ).
tcf(c_69161,plain,
! [X0: $i] :
( rearsegP(app(sK59,app(sK58,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(sK59,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_68508,c_183]) ).
tcf(c_69162,plain,
( ( app(sK59,app(sK58,sK56)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(sK59,app(sK58,sK56)))
| ~ rearsegP(sK56,app(sK59,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_68508,c_184]) ).
tcf(c_69163,plain,
( ( app(sK12(app(sK59,app(sK58,sK56)),sK56),sK56) = app(sK59,app(sK58,sK56)) )
| ~ ssList(sK56)
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(sK59,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_68508,c_66]) ).
tcf(c_69165,plain,
( ( app(sK12(app(sK59,app(sK58,sK56)),sK56),sK56) = app(sK59,app(sK58,sK56)) )
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(sK59,app(sK58,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69163,c_9004]) ).
tcf(c_69169,plain,
( ( app(sK59,app(sK58,sK56)) = sK56 )
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(sK59,app(sK58,sK56)))
| ~ rearsegP(sK56,app(sK59,app(sK58,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69162,c_9004]) ).
tcf(c_69179,plain,
( ( app(sK59,app(sK56,sK56)) = app(sK59,sK56) )
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(sK59,app(sK56,sK56)))
| ~ frontsegP(app(sK59,sK56),app(sK59,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_67631,c_174]) ).
tcf(c_69180,plain,
( ( app(app(sK59,sK56),sK11(app(sK59,app(sK56,sK56)),app(sK59,sK56))) = app(sK59,app(sK56,sK56)) )
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(sK59,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_67631,c_63]) ).
tcf(c_69194,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK59,app(sK56,sK56)),X0),X0),sK14(app(sK59,app(sK56,sK56)),X0)) = app(sK59,app(sK56,sK56)) )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK59,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_67637,c_70]) ).
tcf(c_69195,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,app(sK56,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ segmentP(X0,X1)
| ~ ssList(app(sK59,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_67637,c_190]) ).
tcf(c_69196,plain,
! [X0: $i] :
( ( app(sK59,app(sK56,sK56)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK59,app(sK56,sK56)))
| ~ segmentP(X0,app(sK59,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_67637,c_191]) ).
tcf(c_69249,plain,
( ( app(app(sK13(app(sK59,app(sK56,sK56)),sK56),sK56),sK14(app(sK59,app(sK56,sK56)),sK56)) = app(sK59,app(sK56,sK56)) )
| ~ ssList(sK56)
| ~ ssList(app(sK59,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_67642,c_70]) ).
tcf(c_69250,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK59,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_67642,c_190]) ).
tcf(c_69251,plain,
( ( app(sK59,app(sK56,sK56)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK59,app(sK56,sK56)))
| ~ segmentP(sK56,app(sK59,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_67642,c_191]) ).
tcf(c_69253,plain,
( ( app(sK59,app(sK56,sK56)) = sK56 )
| ~ ssList(app(sK59,app(sK56,sK56)))
| ~ segmentP(sK56,app(sK59,app(sK56,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69251,c_9004]) ).
tcf(c_69257,plain,
( ( app(app(sK13(app(sK59,app(sK56,sK56)),sK56),sK56),sK14(app(sK59,app(sK56,sK56)),sK56)) = app(sK59,app(sK56,sK56)) )
| ~ ssList(app(sK59,app(sK56,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69249,c_9004]) ).
tcf(c_69265,plain,
( ( app(sK59,app(sK59,sK56)) = app(sK59,sK59) )
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(sK59,app(sK59,sK56)))
| ~ frontsegP(app(sK59,sK59),app(sK59,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_68210,c_174]) ).
tcf(c_69266,plain,
( ( app(app(sK59,sK59),sK11(app(sK59,app(sK59,sK56)),app(sK59,sK59))) = app(sK59,app(sK59,sK56)) )
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(sK59,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_68210,c_63]) ).
tcf(c_69280,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK59,app(sK59,sK56)),X0),X0),sK14(app(sK59,app(sK59,sK56)),X0)) = app(sK59,app(sK59,sK56)) )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK59,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_68216,c_70]) ).
tcf(c_69281,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,app(sK59,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,X1)
| ~ ssList(app(sK59,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_68216,c_190]) ).
tcf(c_69282,plain,
! [X0: $i] :
( ( app(sK59,app(sK59,sK56)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK59,app(sK59,sK56)))
| ~ segmentP(X0,app(sK59,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_68216,c_191]) ).
tcf(c_69356,plain,
rearsegP(sK56,sK11(nil,nil)),
inference(global_subsumption_just,[status(thm)],[c_53405,c_141,c_181,c_330,c_53405]) ).
tcf(c_69358,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),X0) ),
inference(superposition,[status(thm)],[c_69356,c_183]) ).
tcf(c_69359,plain,
( ( sK11(nil,nil) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),sK56) ),
inference(superposition,[status(thm)],[c_69356,c_184]) ).
tcf(c_69360,plain,
( ( app(sK12(sK56,sK11(nil,nil)),sK11(nil,nil)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_69356,c_66]) ).
tcf(c_69361,plain,
( ( app(sK12(sK56,sK11(nil,nil)),sK11(nil,nil)) = sK56 )
| ~ ssList(sK11(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69360,c_9004]) ).
tcf(c_69364,plain,
( ( sK11(nil,nil) = sK56 )
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),sK56) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69359,c_9004]) ).
tcf(c_69368,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69358,c_9004]) ).
tcf(c_69373,plain,
rearsegP(sK59,sK11(nil,nil)),
inference(global_subsumption_just,[status(thm)],[c_53406,c_141,c_181,c_330,c_53406]) ).
tcf(c_69375,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),X0) ),
inference(superposition,[status(thm)],[c_69373,c_183]) ).
tcf(c_69376,plain,
( ( sK11(nil,nil) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),sK59) ),
inference(superposition,[status(thm)],[c_69373,c_184]) ).
tcf(c_69377,plain,
( ( app(sK12(sK59,sK11(nil,nil)),sK11(nil,nil)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_69373,c_66]) ).
tcf(c_69379,plain,
( ( app(sK12(sK59,sK11(nil,nil)),sK11(nil,nil)) = sK59 )
| ~ ssList(sK11(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69377,c_9003]) ).
tcf(c_69382,plain,
( ( sK11(nil,nil) = sK59 )
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69376,c_9003]) ).
tcf(c_69386,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69375,c_9003]) ).
tcf(c_69411,plain,
rearsegP(sK58,sK11(nil,nil)),
inference(global_subsumption_just,[status(thm)],[c_53407,c_141,c_181,c_330,c_53407]) ).
tcf(c_69413,plain,
! [X0: $i] :
( rearsegP(sK58,X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),X0) ),
inference(superposition,[status(thm)],[c_69411,c_183]) ).
tcf(c_69414,plain,
( ( sK11(nil,nil) = sK58 )
| ~ ssList(sK58)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),sK58) ),
inference(superposition,[status(thm)],[c_69411,c_184]) ).
tcf(c_69415,plain,
( ( app(sK12(sK58,sK11(nil,nil)),sK11(nil,nil)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_69411,c_66]) ).
tcf(c_69416,plain,
( ( app(sK12(sK58,sK11(nil,nil)),sK11(nil,nil)) = sK58 )
| ~ ssList(sK11(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69415,c_9000]) ).
tcf(c_69419,plain,
( ( sK11(nil,nil) = sK58 )
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),sK58) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69414,c_9000]) ).
tcf(c_69423,plain,
! [X0: $i] :
( rearsegP(sK58,X0)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69413,c_9000]) ).
tcf(c_69432,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,nil))
| ~ rearsegP(sK11(iPr_def_11,nil),X0) ),
inference(superposition,[status(thm)],[c_53939,c_183]) ).
tcf(c_69433,plain,
( ( sK11(iPr_def_11,nil) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK11(iPr_def_11,nil))
| ~ rearsegP(sK11(iPr_def_11,nil),iPr_def_12) ),
inference(superposition,[status(thm)],[c_53939,c_184]) ).
tcf(c_69434,plain,
( ( app(sK12(iPr_def_12,sK11(iPr_def_11,nil)),sK11(iPr_def_11,nil)) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK11(iPr_def_11,nil)) ),
inference(superposition,[status(thm)],[c_53939,c_66]) ).
tcf(c_69435,plain,
( ( app(sK12(iPr_def_12,sK11(iPr_def_11,nil)),sK11(iPr_def_11,nil)) = iPr_def_12 )
| ~ ssList(sK11(iPr_def_11,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69434,c_12995]) ).
tcf(c_69438,plain,
( ( sK11(iPr_def_11,nil) = iPr_def_12 )
| ~ ssList(sK11(iPr_def_11,nil))
| ~ rearsegP(sK11(iPr_def_11,nil),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69433,c_12995]) ).
tcf(c_69442,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,nil))
| ~ rearsegP(sK11(iPr_def_11,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69432,c_12995]) ).
tcf(c_69451,plain,
( ( app(app(sK13(app(sK59,app(sK59,sK56)),sK59),sK59),sK14(app(sK59,app(sK59,sK56)),sK59)) = app(sK59,app(sK59,sK56)) )
| ~ ssList(sK59)
| ~ ssList(app(sK59,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_68221,c_70]) ).
tcf(c_69452,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK59,sK56)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK59,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_68221,c_190]) ).
tcf(c_69453,plain,
( ( app(sK59,app(sK59,sK56)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK59,app(sK59,sK56)))
| ~ segmentP(sK59,app(sK59,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_68221,c_191]) ).
tcf(c_69455,plain,
( ( app(sK59,app(sK59,sK56)) = sK59 )
| ~ ssList(app(sK59,app(sK59,sK56)))
| ~ segmentP(sK59,app(sK59,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69453,c_9003]) ).
tcf(c_69459,plain,
( ( app(app(sK13(app(sK59,app(sK59,sK56)),sK59),sK59),sK14(app(sK59,app(sK59,sK56)),sK59)) = app(sK59,app(sK59,sK56)) )
| ~ ssList(app(sK59,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69451,c_9003]) ).
tcf(c_69467,plain,
( ( app(sK59,app(sK58,sK56)) = app(sK59,sK58) )
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(sK59,app(sK58,sK56)))
| ~ frontsegP(app(sK59,sK58),app(sK59,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_68511,c_174]) ).
tcf(c_69468,plain,
( ( app(app(sK59,sK58),sK11(app(sK59,app(sK58,sK56)),app(sK59,sK58))) = app(sK59,app(sK58,sK56)) )
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(sK59,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_68511,c_63]) ).
tcf(c_69482,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK59,app(sK58,sK56)),X0),X0),sK14(app(sK59,app(sK58,sK56)),X0)) = app(sK59,app(sK58,sK56)) )
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK59,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_68534,c_70]) ).
tcf(c_69483,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,app(sK58,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ segmentP(X0,X1)
| ~ ssList(app(sK59,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_68534,c_190]) ).
tcf(c_69484,plain,
! [X0: $i] :
( ( app(sK59,app(sK58,sK56)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK59,app(sK58,sK56)))
| ~ segmentP(X0,app(sK59,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_68534,c_191]) ).
tcf(c_69565,plain,
( ( app(app(sK13(app(sK59,app(sK58,sK56)),sK58),sK58),sK14(app(sK59,app(sK58,sK56)),sK58)) = app(sK59,app(sK58,sK56)) )
| ~ ssList(sK58)
| ~ ssList(app(sK59,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_68539,c_70]) ).
tcf(c_69566,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK58,sK56)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK59,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_68539,c_190]) ).
tcf(c_69567,plain,
( ( app(sK59,app(sK58,sK56)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK59,app(sK58,sK56)))
| ~ segmentP(sK58,app(sK59,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_68539,c_191]) ).
tcf(c_69569,plain,
( ( app(sK59,app(sK58,sK56)) = sK58 )
| ~ ssList(app(sK59,app(sK58,sK56)))
| ~ segmentP(sK58,app(sK59,app(sK58,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69567,c_9000]) ).
tcf(c_69573,plain,
( ( app(app(sK13(app(sK59,app(sK58,sK56)),sK58),sK58),sK14(app(sK59,app(sK58,sK56)),sK58)) = app(sK59,app(sK58,sK56)) )
| ~ ssList(app(sK59,app(sK58,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69565,c_9000]) ).
tcf(c_69633,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK58,sK8(X0,X1)),sK56) = app(sK58,app(sK8(X0,X1),sK56)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_64254]) ).
tcf(c_69634,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK58,sK9(X0,X1)),sK56) = app(sK58,app(sK9(X0,X1),sK56)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_64254]) ).
tcf(c_69635,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK58,app(X0,X1)),sK56) = app(sK58,app(app(X0,X1),sK56)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_64254]) ).
tcf(c_69636,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK58,sK11(X0,X1)),sK56) = app(sK58,app(sK11(X0,X1),sK56)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_64254]) ).
tcf(c_69637,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK58,sK12(X0,X1)),sK56) = app(sK58,app(sK12(X0,X1),sK56)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_64254]) ).
tcf(c_69638,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK58,sK13(X0,X1)),sK56) = app(sK58,app(sK13(X0,X1),sK56)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_64254]) ).
tcf(c_69639,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK58,sK14(X0,X1)),sK56) = app(sK58,app(sK14(X0,X1),sK56)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_64254]) ).
tcf(c_69649,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK58,sK34(X0)),sK56) = app(sK58,app(sK34(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_64254]) ).
tcf(c_69650,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK58,sK33(X0)),sK56) = app(sK58,app(sK33(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_64254]) ).
tcf(c_69651,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK58,sK32(X0)),sK56) = app(sK58,app(sK32(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_64254]) ).
tcf(c_69652,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK58,sK39(X0)),sK56) = app(sK58,app(sK39(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_64254]) ).
tcf(c_69653,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK58,sK38(X0)),sK56) = app(sK58,app(sK38(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_64254]) ).
tcf(c_69654,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK58,sK37(X0)),sK56) = app(sK58,app(sK37(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_64254]) ).
tcf(c_69655,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK58,sK44(X0)),sK56) = app(sK58,app(sK44(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_64254]) ).
tcf(c_69656,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK58,sK43(X0)),sK56) = app(sK58,app(sK43(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_64254]) ).
tcf(c_69657,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK58,sK42(X0)),sK56) = app(sK58,app(sK42(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_64254]) ).
tcf(c_69658,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(app(sK58,sK48(X0)),sK56) = app(sK58,app(sK48(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_64254]) ).
tcf(c_69659,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(app(sK58,sK47(X0)),sK56) = app(sK58,app(sK47(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_64254]) ).
tcf(c_69660,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK58,cons(X0,X1)),sK56) = app(sK58,app(cons(X0,X1),sK56)) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_64254]) ).
tcf(c_69661,plain,
app(app(sK58,nil),sK56) = app(sK58,app(nil,sK56)),
inference(superposition,[status(thm)],[c_141,c_64254]) ).
tcf(c_69662,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK58,sK49(X0)),sK56) = app(sK58,app(sK49(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_64254]) ).
tcf(c_69663,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK58,tl(X0)),sK56) = app(sK58,app(tl(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_64254]) ).
tcf(c_69664,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK58,sK52(X0)),sK56) = app(sK58,app(sK52(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_64254]) ).
tcf(c_69665,plain,
app(app(sK58,sK56),sK56) = app(sK58,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_9004,c_64254]) ).
tcf(c_69666,plain,
app(app(sK58,sK59),sK56) = app(sK58,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_9003,c_64254]) ).
tcf(c_69667,plain,
app(app(sK58,sK58),sK56) = app(sK58,app(sK58,sK56)),
inference(superposition,[status(thm)],[c_9000,c_64254]) ).
tcf(c_69668,plain,
app(app(sK58,iPr_def_12),sK56) = app(sK58,app(iPr_def_12,sK56)),
inference(superposition,[status(thm)],[c_12995,c_64254]) ).
tcf(c_69669,plain,
app(app(sK58,iPr_def_11),sK56) = app(sK58,app(iPr_def_11,sK56)),
inference(superposition,[status(thm)],[c_12859,c_64254]) ).
tcf(c_69670,plain,
app(app(sK58,iPr_def_10),sK56) = app(sK58,app(iPr_def_10,sK56)),
inference(superposition,[status(thm)],[c_18402,c_64254]) ).
tcf(c_69671,plain,
app(app(sK58,cons(sK57,sK56)),sK56) = app(sK58,app(cons(sK57,sK56),sK56)),
inference(superposition,[status(thm)],[c_38969,c_64254]) ).
tcf(c_69672,plain,
app(app(sK58,cons(sK57,sK59)),sK56) = app(sK58,app(cons(sK57,sK59),sK56)),
inference(superposition,[status(thm)],[c_42671,c_64254]) ).
tcf(c_69673,plain,
app(app(sK58,cons(sK57,sK58)),sK56) = app(sK58,app(cons(sK57,sK58),sK56)),
inference(superposition,[status(thm)],[c_45936,c_64254]) ).
tcf(c_69674,plain,
( ( nil = sK56 )
| ( app(app(sK58,tl(sK56)),sK56) = app(sK58,app(tl(sK56),sK56)) ) ),
inference(superposition,[status(thm)],[c_15456,c_64254]) ).
tcf(c_69675,plain,
( ( nil = sK59 )
| ( app(app(sK58,tl(sK59)),sK56) = app(sK58,app(tl(sK59),sK56)) ) ),
inference(superposition,[status(thm)],[c_15493,c_64254]) ).
tcf(c_69676,plain,
( ( nil = sK58 )
| ( app(app(sK58,tl(sK58)),sK56) = app(sK58,app(tl(sK58),sK56)) ) ),
inference(superposition,[status(thm)],[c_15877,c_64254]) ).
tcf(c_69677,plain,
app(app(sK58,tl(iPr_def_12)),sK56) = app(sK58,app(tl(iPr_def_12),sK56)),
inference(superposition,[status(thm)],[c_19130,c_64254]) ).
tcf(c_69678,plain,
app(app(sK58,cons(sK57,iPr_def_10)),sK56) = app(sK58,app(cons(sK57,iPr_def_10),sK56)),
inference(superposition,[status(thm)],[c_61331,c_64254]) ).
tcf(c_69679,plain,
app(app(sK58,cons(sK57,app(sK56,sK56))),sK56) = app(sK58,app(cons(sK57,app(sK56,sK56)),sK56)),
inference(superposition,[status(thm)],[c_39016,c_64254]) ).
tcf(c_69680,plain,
app(app(sK58,cons(sK57,app(sK59,sK56))),sK56) = app(sK58,app(cons(sK57,app(sK59,sK56)),sK56)),
inference(superposition,[status(thm)],[c_42723,c_64254]) ).
tcf(c_69681,plain,
app(app(sK58,cons(sK57,app(sK58,sK56))),sK56) = app(sK58,app(cons(sK57,app(sK58,sK56)),sK56)),
inference(superposition,[status(thm)],[c_45988,c_64254]) ).
tcf(c_69682,plain,
app(app(sK58,cons(sK57,app(sK56,sK59))),sK56) = app(sK58,app(cons(sK57,app(sK56,sK59)),sK56)),
inference(superposition,[status(thm)],[c_41916,c_64254]) ).
tcf(c_69683,plain,
app(app(sK58,cons(sK57,app(sK59,sK59))),sK56) = app(sK58,app(cons(sK57,app(sK59,sK59)),sK56)),
inference(superposition,[status(thm)],[c_43373,c_64254]) ).
tcf(c_69684,plain,
app(app(sK58,cons(sK57,app(sK58,sK59))),sK56) = app(sK58,app(cons(sK57,app(sK58,sK59)),sK56)),
inference(superposition,[status(thm)],[c_45985,c_64254]) ).
tcf(c_69685,plain,
app(app(sK58,cons(sK57,app(sK56,sK58))),sK56) = app(sK58,app(cons(sK57,app(sK56,sK58)),sK56)),
inference(superposition,[status(thm)],[c_45632,c_64254]) ).
tcf(c_69686,plain,
app(app(sK58,cons(sK57,app(sK59,sK58))),sK56) = app(sK58,app(cons(sK57,app(sK59,sK58)),sK56)),
inference(superposition,[status(thm)],[c_46645,c_64254]) ).
tcf(c_69687,plain,
app(app(sK58,cons(sK57,app(sK58,sK58))),sK56) = app(sK58,app(cons(sK57,app(sK58,sK58)),sK56)),
inference(superposition,[status(thm)],[c_47111,c_64254]) ).
tcf(c_69688,plain,
( ( app(app(sK58,app(sK56,app(sK56,sK56))),sK56) = app(sK58,app(app(sK56,app(sK56,sK56)),sK56)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_64254]) ).
tcf(c_69689,plain,
( ( app(app(sK58,app(sK56,app(sK59,sK56))),sK56) = app(sK58,app(app(sK56,app(sK59,sK56)),sK56)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_64254]) ).
tcf(c_69690,plain,
( ( app(app(sK58,app(sK56,app(sK58,sK56))),sK56) = app(sK58,app(app(sK56,app(sK58,sK56)),sK56)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_64254]) ).
tcf(c_69691,plain,
( ( app(app(sK58,app(sK59,app(sK56,sK56))),sK56) = app(sK58,app(app(sK59,app(sK56,sK56)),sK56)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_64254]) ).
tcf(c_69692,plain,
( ( app(app(sK58,app(sK59,app(sK59,sK56))),sK56) = app(sK58,app(app(sK59,app(sK59,sK56)),sK56)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_64254]) ).
tcf(c_69693,plain,
( ( app(app(sK58,app(sK59,app(sK58,sK56))),sK56) = app(sK58,app(app(sK59,app(sK58,sK56)),sK56)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_64254]) ).
tcf(c_69694,plain,
app(sK58,cons(sK57,sK56)) = app(iPr_def_12,sK56),
inference(light_normalisation,[status(thm)],[c_69669,c_8988,c_38052]) ).
tcf(c_69696,plain,
app(app(sK58,cons(sK57,iPr_def_10)),sK56) = app(sK58,cons(sK57,app(iPr_def_10,sK56))),
inference(light_normalisation,[status(thm)],[c_69678,c_38046]) ).
tcf(c_69697,plain,
app(app(sK58,cons(sK57,sK58)),sK56) = app(sK58,cons(sK57,app(sK58,sK56))),
inference(light_normalisation,[status(thm)],[c_69673,c_38043]) ).
tcf(c_69698,plain,
app(app(sK58,cons(sK57,sK59)),sK56) = app(sK58,cons(sK57,app(sK59,sK56))),
inference(light_normalisation,[status(thm)],[c_69672,c_38042]) ).
tcf(c_69699,plain,
app(app(sK58,cons(sK57,sK56)),sK56) = app(sK58,cons(sK57,app(sK56,sK56))),
inference(light_normalisation,[status(thm)],[c_69671,c_38041]) ).
tcf(c_70056,plain,
! [X0: $i] :
( segmentP(app(app(sK58,app(sK56,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(app(app(sK58,sK56),sK56),X0)) ),
inference(superposition,[status(thm)],[c_69665,c_67]) ).
tcf(c_70059,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(app(sK58,sK56),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK56))
| ~ memberP(app(sK58,app(sK56,sK56)),X0) ),
inference(superposition,[status(thm)],[c_69665,c_167]) ).
tcf(c_70060,plain,
( ( app(sK58,sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_69665,c_231]) ).
tcf(c_70061,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_69665,c_230]) ).
tcf(c_70062,plain,
( frontsegP(app(sK58,app(sK56,sK56)),app(sK58,sK56))
| ~ ssList(sK56)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_69665,c_386]) ).
tcf(c_70063,plain,
( rearsegP(app(sK58,app(sK56,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_69665,c_383]) ).
tcf(c_70064,plain,
( ssList(app(sK58,app(sK56,sK56)))
| ~ ssList(sK56)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_69665,c_153]) ).
tcf(c_70065,plain,
! [X0: $i] :
( ( app(sK58,sK56) = X0 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK56)) != app(X0,sK56) ) ),
inference(superposition,[status(thm)],[c_69665,c_225]) ).
tcf(c_70066,plain,
( segmentP(app(sK58,app(sK56,sK56)),sK56)
| ~ ssList(sK58)
| ~ ssList(sK56)
| ~ ssList(app(app(sK58,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_69665,c_67]) ).
tcf(c_70067,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ( app(app(sK58,sK56),X0) != app(sK58,app(sK56,sK56)) ) ),
inference(superposition,[status(thm)],[c_69665,c_226]) ).
tcf(c_70068,plain,
! [X0: $i] :
( frontsegP(app(sK58,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ~ frontsegP(app(sK58,sK56),X0) ),
inference(superposition,[status(thm)],[c_69665,c_176]) ).
tcf(c_70069,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK56))
| ~ memberP(app(sK58,sK56),X0) ),
inference(superposition,[status(thm)],[c_69665,c_165]) ).
tcf(c_70070,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK58,app(sK56,sK56)),X1),X0)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_69665,c_193]) ).
tcf(c_70071,plain,
! [X0: $i] :
( rearsegP(app(sK58,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_69665,c_186]) ).
tcf(c_70072,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_69665,c_166]) ).
tcf(c_70073,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK56,sK56)),X0)
| ~ ssList(sK58)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_69665,c_193]) ).
tcf(c_70074,plain,
( ( app(sK58,sK56) = iPr_def_11 )
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK56)) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_69665,c_39002]) ).
tcf(c_70075,plain,
( ( app(sK58,sK56) = nil )
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_69665,c_25412]) ).
tcf(c_70076,plain,
( ssList(app(sK58,app(sK56,sK56)))
| ~ ssList(app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70064,c_9004]) ).
tcf(c_70079,plain,
( rearsegP(app(sK58,app(sK56,sK56)),sK56)
| ~ ssList(app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70063,c_9004]) ).
tcf(c_70082,plain,
( frontsegP(app(sK58,app(sK56,sK56)),app(sK58,sK56))
| ~ ssList(app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70062,c_9004]) ).
tcf(c_70088,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK56,sK56)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70073,c_9000,c_9004]) ).
tcf(c_70092,plain,
( segmentP(app(sK58,app(sK56,sK56)),sK56)
| ~ ssList(sK58)
| ~ ssList(sK56)
| ~ ssList(app(sK58,app(sK56,sK56))) ),
inference(light_normalisation,[status(thm)],[c_70066,c_69665]) ).
tcf(c_70093,plain,
( segmentP(app(sK58,app(sK56,sK56)),sK56)
| ~ ssList(app(sK58,app(sK56,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70092,c_9000,c_9004]) ).
tcf(c_70096,plain,
( ( nil = sK56 )
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70061,c_9004]) ).
tcf(c_70103,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK56,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70072,c_9004]) ).
tcf(c_70108,plain,
! [X0: $i] :
( rearsegP(app(sK58,app(sK56,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70071,c_9004]) ).
tcf(c_70113,plain,
( ( app(sK58,sK56) = nil )
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70060,c_9004]) ).
tcf(c_70117,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK56,sK56)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK56))
| ~ memberP(app(sK58,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70069,c_9004]) ).
tcf(c_70122,plain,
! [X0: $i] :
( frontsegP(app(sK58,app(sK56,sK56)),X0)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ~ frontsegP(app(sK58,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70068,c_9004]) ).
tcf(c_70127,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK58,app(sK56,sK56)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70070,c_9004]) ).
tcf(c_70133,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(app(sK58,sK56),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK56))
| ~ memberP(app(sK58,app(sK56,sK56)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70059,c_9004]) ).
tcf(c_70139,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ( app(app(sK58,sK56),X0) != app(sK58,app(sK56,sK56)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70067,c_9004]) ).
tcf(c_70144,plain,
! [X0: $i] :
( ( app(sK58,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK56)) != app(X0,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70065,c_9004]) ).
tcf(c_70149,plain,
! [X0: $i] :
( segmentP(app(app(sK58,app(sK56,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(app(sK58,app(sK56,sK56)),X0)) ),
inference(light_normalisation,[status(thm)],[c_70056,c_69665]) ).
tcf(c_70150,plain,
! [X0: $i] :
( segmentP(app(app(sK58,app(sK56,sK56)),X0),sK56)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(app(sK58,app(sK56,sK56)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70149,c_9004]) ).
tcf(c_70194,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),app(sK58,app(sK56,sK56))) = app(X0,app(X1,app(sK58,app(sK56,sK56)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_228]) ).
tcf(c_70195,plain,
( ( app(app(sK58,app(sK58,app(sK56,sK56))),sK56) = app(sK58,app(app(sK58,app(sK56,sK56)),sK56)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_64254]) ).
tcf(c_70196,plain,
( ( app(app(sK59,app(sK58,app(sK56,sK56))),sK56) = app(sK59,app(app(sK58,app(sK56,sK56)),sK56)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_64253]) ).
tcf(c_70197,plain,
( ( app(app(sK56,app(sK58,app(sK56,sK56))),sK56) = app(sK56,app(app(sK58,app(sK56,sK56)),sK56)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_64252]) ).
tcf(c_70198,plain,
! [X0: $i] :
( ( app(app(app(sK58,app(sK56,sK56)),X0),sK56) = app(app(sK58,app(sK56,sK56)),app(X0,sK56)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_23049]) ).
tcf(c_70199,plain,
( ( hd(app(iPr_def_11,app(sK58,app(sK56,sK56)))) = sK57 )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_19361]) ).
tcf(c_70200,plain,
( ( hd(cons(sK60,app(sK58,app(sK56,sK56)))) = sK60 )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_19068]) ).
tcf(c_70201,plain,
( ( tl(cons(sK60,app(sK58,app(sK56,sK56)))) = app(sK58,app(sK56,sK56)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_19067]) ).
tcf(c_70202,plain,
( ( cons(sK57,app(app(sK58,app(sK56,sK56)),sK58)) = app(cons(sK57,app(sK58,app(sK56,sK56))),sK58) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_37537]) ).
tcf(c_70203,plain,
( ( tl(cons(sK7,app(sK58,app(sK56,sK56)))) = app(sK58,app(sK56,sK56)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_14098]) ).
tcf(c_70204,plain,
( ( tl(cons(sK6,app(sK58,app(sK56,sK56)))) = app(sK58,app(sK56,sK56)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_14097]) ).
tcf(c_70205,plain,
( ( cons(sK57,app(app(sK58,app(sK56,sK56)),sK59)) = app(cons(sK57,app(sK58,app(sK56,sK56))),sK59) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_37536]) ).
tcf(c_70206,plain,
( ( hd(cons(sK7,app(sK58,app(sK56,sK56)))) = sK7 )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_13924]) ).
tcf(c_70207,plain,
( ( hd(cons(sK6,app(sK58,app(sK56,sK56)))) = sK6 )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_13923]) ).
tcf(c_70208,plain,
( ( cons(sK57,app(app(sK58,app(sK56,sK56)),sK56)) = app(cons(sK57,app(sK58,app(sK56,sK56))),sK56) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_37535]) ).
tcf(c_70209,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,app(sK58,app(sK56,sK56)))) = app(cons(sK57,X0),app(sK58,app(sK56,sK56))) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_22705]) ).
tcf(c_70210,plain,
( ( nil = sK58 )
| ( app(tl(sK58),app(sK58,app(sK56,sK56))) = tl(app(sK58,app(sK58,app(sK56,sK56)))) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_21826]) ).
tcf(c_70211,plain,
( ( nil = sK59 )
| ( app(tl(sK59),app(sK58,app(sK56,sK56))) = tl(app(sK59,app(sK58,app(sK56,sK56)))) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_21825]) ).
tcf(c_70212,plain,
( ( nil = sK56 )
| ( app(tl(sK56),app(sK58,app(sK56,sK56))) = tl(app(sK56,app(sK58,app(sK56,sK56)))) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_21824]) ).
tcf(c_70213,plain,
( duplicatefreeP(app(sK58,app(sK56,sK56)))
| ( app(app(sK42(app(sK58,app(sK56,sK56))),cons(sK40(app(sK58,app(sK56,sK56))),sK43(app(sK58,app(sK56,sK56))))),cons(sK41(app(sK58,app(sK56,sK56))),sK44(app(sK58,app(sK56,sK56))))) = app(sK58,app(sK56,sK56)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_124]) ).
tcf(c_70214,plain,
( strictorderedP(app(sK58,app(sK56,sK56)))
| ( app(app(sK37(app(sK58,app(sK56,sK56))),cons(sK35(app(sK58,app(sK56,sK56))),sK38(app(sK58,app(sK56,sK56))))),cons(sK36(app(sK58,app(sK56,sK56))),sK39(app(sK58,app(sK56,sK56))))) = app(sK58,app(sK56,sK56)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_116]) ).
tcf(c_70215,plain,
( totalorderedP(app(sK58,app(sK56,sK56)))
| ( app(app(sK32(app(sK58,app(sK56,sK56))),cons(sK30(app(sK58,app(sK56,sK56))),sK33(app(sK58,app(sK56,sK56))))),cons(sK31(app(sK58,app(sK56,sK56))),sK34(app(sK58,app(sK56,sK56))))) = app(sK58,app(sK56,sK56)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_108]) ).
tcf(c_70216,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK58,app(sK56,sK56)))) = hd(sK58) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_19350]) ).
tcf(c_70217,plain,
! [X0: $i] :
( ( app(sK58,app(sK56,sK56)) = nil )
| ( app(tl(app(sK58,app(sK56,sK56))),X0) = tl(app(app(sK58,app(sK56,sK56)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_234]) ).
tcf(c_70218,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK58,app(sK56,sK56)))) = hd(sK59) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_19349]) ).
tcf(c_70219,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK58,app(sK56,sK56)))) = hd(sK56) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_19348]) ).
tcf(c_70220,plain,
( equalelemsP(app(sK58,app(sK56,sK56)))
| ( app(sK47(app(sK58,app(sK56,sK56))),cons(sK45(app(sK58,app(sK56,sK56))),cons(sK46(app(sK58,app(sK56,sK56))),sK48(app(sK58,app(sK56,sK56)))))) = app(sK58,app(sK56,sK56)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_132]) ).
tcf(c_70221,plain,
! [X0: $i] :
( ( app(sK58,app(sK56,sK56)) = nil )
| ( hd(app(app(sK58,app(sK56,sK56)),X0)) = hd(app(sK58,app(sK56,sK56))) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_233]) ).
tcf(c_70222,plain,
( ( app(sK58,app(sK56,sK56)) = nil )
| ( cons(hd(app(sK58,app(sK56,sK56))),tl(app(sK58,app(sK56,sK56)))) = app(sK58,app(sK56,sK56)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_224]) ).
tcf(c_70223,plain,
( ( app(sK58,app(sK56,sK56)) = nil )
| ( cons(sK50(app(sK58,app(sK56,sK56))),sK49(app(sK58,app(sK56,sK56)))) = app(sK58,app(sK56,sK56)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_147]) ).
tcf(c_70224,plain,
( ( tl(cons(sK57,app(sK58,app(sK56,sK56)))) = app(sK58,app(sK56,sK56)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_14117]) ).
tcf(c_70225,plain,
( ( hd(cons(sK57,app(sK58,app(sK56,sK56)))) = sK57 )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_13943]) ).
tcf(c_70226,plain,
( ( app(sK58,app(sK56,sK56)) = nil )
| ( tl(app(sK58,app(sK56,sK56))) = sK52(app(sK58,app(sK56,sK56))) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_222]) ).
tcf(c_70227,plain,
( ( app(sK58,app(sK56,sK56)) = nil )
| ( hd(app(sK58,app(sK56,sK56))) = sK51(app(sK58,app(sK56,sK56))) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_220]) ).
tcf(c_70228,plain,
( duplicatefreeP(app(sK58,app(sK56,sK56)))
| ( sK40(app(sK58,app(sK56,sK56))) = sK41(app(sK58,app(sK56,sK56))) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_123]) ).
tcf(c_70229,plain,
( ( app(app(sK58,app(sK56,sK56)),nil) = app(sK58,app(sK56,sK56)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_232]) ).
tcf(c_70230,plain,
( ( app(nil,app(sK58,app(sK56,sK56))) = app(sK58,app(sK56,sK56)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_155]) ).
tcf(c_70595,plain,
! [X0: $i] :
( segmentP(app(app(sK58,app(sK59,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(app(app(sK58,sK59),sK56),X0)) ),
inference(superposition,[status(thm)],[c_69666,c_67]) ).
tcf(c_70598,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(app(sK58,sK59),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK59))
| ~ memberP(app(sK58,app(sK59,sK56)),X0) ),
inference(superposition,[status(thm)],[c_69666,c_167]) ).
tcf(c_70599,plain,
( ( app(sK58,sK59) = nil )
| ~ ssList(sK56)
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_69666,c_231]) ).
tcf(c_70600,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_69666,c_230]) ).
tcf(c_70601,plain,
( frontsegP(app(sK58,app(sK59,sK56)),app(sK58,sK59))
| ~ ssList(sK56)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_69666,c_386]) ).
tcf(c_70602,plain,
( rearsegP(app(sK58,app(sK59,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_69666,c_383]) ).
tcf(c_70603,plain,
( ssList(app(sK58,app(sK59,sK56)))
| ~ ssList(sK56)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_69666,c_153]) ).
tcf(c_70604,plain,
! [X0: $i] :
( ( app(sK58,sK59) = X0 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK56)) != app(X0,sK56) ) ),
inference(superposition,[status(thm)],[c_69666,c_225]) ).
tcf(c_70605,plain,
( segmentP(app(sK58,app(sK59,sK56)),sK59)
| ~ ssList(sK58)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(app(app(sK58,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_69666,c_67]) ).
tcf(c_70606,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ( app(app(sK58,sK59),X0) != app(sK58,app(sK59,sK56)) ) ),
inference(superposition,[status(thm)],[c_69666,c_226]) ).
tcf(c_70607,plain,
! [X0: $i] :
( frontsegP(app(sK58,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ~ frontsegP(app(sK58,sK59),X0) ),
inference(superposition,[status(thm)],[c_69666,c_176]) ).
tcf(c_70608,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK59))
| ~ memberP(app(sK58,sK59),X0) ),
inference(superposition,[status(thm)],[c_69666,c_165]) ).
tcf(c_70609,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK58,app(sK59,sK56)),X1),X0)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_69666,c_193]) ).
tcf(c_70610,plain,
! [X0: $i] :
( rearsegP(app(sK58,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_69666,c_186]) ).
tcf(c_70611,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_69666,c_166]) ).
tcf(c_70612,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK59,sK56)),X0)
| ~ ssList(sK58)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_69666,c_193]) ).
tcf(c_70613,plain,
( ( app(sK58,sK59) = iPr_def_11 )
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK56)) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_69666,c_39002]) ).
tcf(c_70614,plain,
( ( app(sK58,sK59) = nil )
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_69666,c_25412]) ).
tcf(c_70615,plain,
( ssList(app(sK58,app(sK59,sK56)))
| ~ ssList(app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70603,c_9004]) ).
tcf(c_70618,plain,
( rearsegP(app(sK58,app(sK59,sK56)),sK56)
| ~ ssList(app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70602,c_9004]) ).
tcf(c_70621,plain,
( frontsegP(app(sK58,app(sK59,sK56)),app(sK58,sK59))
| ~ ssList(app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70601,c_9004]) ).
tcf(c_70627,plain,
( ( nil = sK56 )
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70600,c_9004]) ).
tcf(c_70634,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK59,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70611,c_9004]) ).
tcf(c_70639,plain,
! [X0: $i] :
( rearsegP(app(sK58,app(sK59,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70610,c_9004]) ).
tcf(c_70644,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK59,sK56)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70612,c_9000,c_9003,c_9004]) ).
tcf(c_70648,plain,
( segmentP(app(sK58,app(sK59,sK56)),sK59)
| ~ ssList(sK58)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(app(sK58,app(sK59,sK56))) ),
inference(light_normalisation,[status(thm)],[c_70605,c_69666]) ).
tcf(c_70649,plain,
( segmentP(app(sK58,app(sK59,sK56)),sK59)
| ~ ssList(app(sK58,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70648,c_9000,c_9003,c_9004]) ).
tcf(c_70652,plain,
( ( app(sK58,sK59) = nil )
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70599,c_9004]) ).
tcf(c_70656,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK59,sK56)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK59))
| ~ memberP(app(sK58,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70608,c_9004]) ).
tcf(c_70661,plain,
! [X0: $i] :
( frontsegP(app(sK58,app(sK59,sK56)),X0)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ~ frontsegP(app(sK58,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70607,c_9004]) ).
tcf(c_70666,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK58,app(sK59,sK56)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70609,c_9004]) ).
tcf(c_70672,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(app(sK58,sK59),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK59))
| ~ memberP(app(sK58,app(sK59,sK56)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70598,c_9004]) ).
tcf(c_70678,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ( app(app(sK58,sK59),X0) != app(sK58,app(sK59,sK56)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70606,c_9004]) ).
tcf(c_70683,plain,
! [X0: $i] :
( ( app(sK58,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK56)) != app(X0,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70604,c_9004]) ).
tcf(c_70688,plain,
! [X0: $i] :
( segmentP(app(app(sK58,app(sK59,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(app(sK58,app(sK59,sK56)),X0)) ),
inference(light_normalisation,[status(thm)],[c_70595,c_69666]) ).
tcf(c_70689,plain,
! [X0: $i] :
( segmentP(app(app(sK58,app(sK59,sK56)),X0),sK56)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(app(sK58,app(sK59,sK56)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70688,c_9004]) ).
tcf(c_70770,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_16754]) ).
tcf(c_70771,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_16754]) ).
tcf(c_70772,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_16754]) ).
tcf(c_70773,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_16754]) ).
tcf(c_70774,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_16754]) ).
tcf(c_70775,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_16754]) ).
tcf(c_70776,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_16754]) ).
tcf(c_70786,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( cons(sK57,sK34(X0)) = app(iPr_def_11,sK34(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_16754]) ).
tcf(c_70787,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( cons(sK57,sK33(X0)) = app(iPr_def_11,sK33(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_16754]) ).
tcf(c_70788,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( cons(sK57,sK32(X0)) = app(iPr_def_11,sK32(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_16754]) ).
tcf(c_70789,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( cons(sK57,sK39(X0)) = app(iPr_def_11,sK39(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_16754]) ).
tcf(c_70790,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( cons(sK57,sK38(X0)) = app(iPr_def_11,sK38(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_16754]) ).
tcf(c_70791,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( cons(sK57,sK37(X0)) = app(iPr_def_11,sK37(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_16754]) ).
tcf(c_70792,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( cons(sK57,sK44(X0)) = app(iPr_def_11,sK44(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_16754]) ).
tcf(c_70793,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( cons(sK57,sK43(X0)) = app(iPr_def_11,sK43(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_16754]) ).
tcf(c_70794,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( cons(sK57,sK42(X0)) = app(iPr_def_11,sK42(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_16754]) ).
tcf(c_70795,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( cons(sK57,sK48(X0)) = app(iPr_def_11,sK48(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_16754]) ).
tcf(c_70796,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( cons(sK57,sK47(X0)) = app(iPr_def_11,sK47(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_16754]) ).
tcf(c_70797,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_16754]) ).
tcf(c_70798,plain,
cons(sK57,nil) = app(iPr_def_11,nil),
inference(superposition,[status(thm)],[c_141,c_16754]) ).
tcf(c_70799,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,sK49(X0)) = app(iPr_def_11,sK49(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_16754]) ).
tcf(c_70800,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,tl(X0)) = app(iPr_def_11,tl(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_16754]) ).
tcf(c_70801,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,sK52(X0)) = app(iPr_def_11,sK52(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_16754]) ).
tcf(c_70805,plain,
cons(sK57,iPr_def_12) = app(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_12995,c_16754]) ).
tcf(c_70806,plain,
cons(sK57,iPr_def_11) = app(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_12859,c_16754]) ).
tcf(c_70807,plain,
cons(sK57,iPr_def_10) = app(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_18402,c_16754]) ).
tcf(c_70808,plain,
cons(sK57,cons(sK57,sK56)) = app(iPr_def_11,cons(sK57,sK56)),
inference(superposition,[status(thm)],[c_38969,c_16754]) ).
tcf(c_70809,plain,
cons(sK57,cons(sK57,sK59)) = app(iPr_def_11,cons(sK57,sK59)),
inference(superposition,[status(thm)],[c_42671,c_16754]) ).
tcf(c_70810,plain,
cons(sK57,cons(sK57,sK58)) = app(iPr_def_11,cons(sK57,sK58)),
inference(superposition,[status(thm)],[c_45936,c_16754]) ).
tcf(c_70811,plain,
( ( nil = sK56 )
| ( cons(sK57,tl(sK56)) = app(iPr_def_11,tl(sK56)) ) ),
inference(superposition,[status(thm)],[c_15456,c_16754]) ).
tcf(c_70812,plain,
( ( nil = sK59 )
| ( cons(sK57,tl(sK59)) = app(iPr_def_11,tl(sK59)) ) ),
inference(superposition,[status(thm)],[c_15493,c_16754]) ).
tcf(c_70813,plain,
( ( nil = sK58 )
| ( cons(sK57,tl(sK58)) = app(iPr_def_11,tl(sK58)) ) ),
inference(superposition,[status(thm)],[c_15877,c_16754]) ).
tcf(c_70814,plain,
cons(sK57,tl(iPr_def_12)) = app(iPr_def_11,tl(iPr_def_12)),
inference(superposition,[status(thm)],[c_19130,c_16754]) ).
tcf(c_70815,plain,
cons(sK57,cons(sK57,iPr_def_10)) = app(iPr_def_11,cons(sK57,iPr_def_10)),
inference(superposition,[status(thm)],[c_61331,c_16754]) ).
tcf(c_70816,plain,
cons(sK57,cons(sK57,app(sK56,sK56))) = app(iPr_def_11,cons(sK57,app(sK56,sK56))),
inference(superposition,[status(thm)],[c_39016,c_16754]) ).
tcf(c_70817,plain,
cons(sK57,cons(sK57,app(sK59,sK56))) = app(iPr_def_11,cons(sK57,app(sK59,sK56))),
inference(superposition,[status(thm)],[c_42723,c_16754]) ).
tcf(c_70818,plain,
cons(sK57,cons(sK57,app(sK58,sK56))) = app(iPr_def_11,cons(sK57,app(sK58,sK56))),
inference(superposition,[status(thm)],[c_45988,c_16754]) ).
tcf(c_70819,plain,
cons(sK57,cons(sK57,app(sK56,sK59))) = app(iPr_def_11,cons(sK57,app(sK56,sK59))),
inference(superposition,[status(thm)],[c_41916,c_16754]) ).
tcf(c_70820,plain,
cons(sK57,cons(sK57,app(sK59,sK59))) = app(iPr_def_11,cons(sK57,app(sK59,sK59))),
inference(superposition,[status(thm)],[c_43373,c_16754]) ).
tcf(c_70821,plain,
cons(sK57,cons(sK57,app(sK58,sK59))) = app(iPr_def_11,cons(sK57,app(sK58,sK59))),
inference(superposition,[status(thm)],[c_45985,c_16754]) ).
tcf(c_70822,plain,
cons(sK57,cons(sK57,app(sK56,sK58))) = app(iPr_def_11,cons(sK57,app(sK56,sK58))),
inference(superposition,[status(thm)],[c_45632,c_16754]) ).
tcf(c_70823,plain,
cons(sK57,cons(sK57,app(sK59,sK58))) = app(iPr_def_11,cons(sK57,app(sK59,sK58))),
inference(superposition,[status(thm)],[c_46645,c_16754]) ).
tcf(c_70824,plain,
cons(sK57,cons(sK57,app(sK58,sK58))) = app(iPr_def_11,cons(sK57,app(sK58,sK58))),
inference(superposition,[status(thm)],[c_47111,c_16754]) ).
tcf(c_70825,plain,
( ( cons(sK57,app(sK56,app(sK56,sK56))) = app(iPr_def_11,app(sK56,app(sK56,sK56))) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_16754]) ).
tcf(c_70826,plain,
( ( cons(sK57,app(sK56,app(sK59,sK56))) = app(iPr_def_11,app(sK56,app(sK59,sK56))) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_16754]) ).
tcf(c_70827,plain,
( ( cons(sK57,app(sK56,app(sK58,sK56))) = app(iPr_def_11,app(sK56,app(sK58,sK56))) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_16754]) ).
tcf(c_70828,plain,
( ( cons(sK57,app(sK59,app(sK56,sK56))) = app(iPr_def_11,app(sK59,app(sK56,sK56))) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_16754]) ).
tcf(c_70829,plain,
( ( cons(sK57,app(sK59,app(sK59,sK56))) = app(iPr_def_11,app(sK59,app(sK59,sK56))) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_16754]) ).
tcf(c_70830,plain,
( ( cons(sK57,app(sK59,app(sK58,sK56))) = app(iPr_def_11,app(sK59,app(sK58,sK56))) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_16754]) ).
tcf(c_70831,plain,
( ( cons(sK57,app(sK58,app(sK56,sK56))) = app(iPr_def_11,app(sK58,app(sK56,sK56))) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_16754]) ).
tcf(c_71083,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_70805,c_67]) ).
tcf(c_71086,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_70805,c_167]) ).
tcf(c_71088,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ( cons(sK57,iPr_def_12) != nil ) ),
inference(superposition,[status(thm)],[c_70805,c_230]) ).
tcf(c_71089,plain,
( frontsegP(cons(sK57,iPr_def_12),iPr_def_11)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_70805,c_386]) ).
tcf(c_71090,plain,
( rearsegP(cons(sK57,iPr_def_12),iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_70805,c_383]) ).
tcf(c_71091,plain,
( ssList(cons(sK57,iPr_def_12))
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_70805,c_153]) ).
tcf(c_71092,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_70805,c_225]) ).
tcf(c_71093,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_70805,c_226]) ).
tcf(c_71094,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_70805,c_176]) ).
tcf(c_71095,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_70805,c_165]) ).
tcf(c_71096,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_70805,c_193]) ).
tcf(c_71097,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_70805,c_186]) ).
tcf(c_71098,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_70805,c_166]) ).
tcf(c_71099,plain,
( ( sK58 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ( cons(sK57,sK58) != cons(sK57,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_70805,c_45965]) ).
tcf(c_71100,plain,
( ( sK59 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ( cons(sK57,sK59) != cons(sK57,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_70805,c_42703]) ).
tcf(c_71101,plain,
( ( sK56 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ( cons(sK57,sK56) != cons(sK57,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_70805,c_38998]) ).
tcf(c_71102,plain,
ssList(cons(sK57,iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_71091,c_12995,c_12859]) ).
tcf(c_71103,plain,
rearsegP(cons(sK57,iPr_def_12),iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_71090,c_12995,c_12859]) ).
tcf(c_71104,plain,
frontsegP(cons(sK57,iPr_def_12),iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_71089,c_12995,c_12859]) ).
tcf(c_71105,plain,
( ( sK56 = iPr_def_12 )
| ( cons(sK57,sK56) != cons(sK57,iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71101,c_12995]) ).
tcf(c_71108,plain,
( ( sK59 = iPr_def_12 )
| ( cons(sK57,sK59) != cons(sK57,iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71100,c_12995]) ).
tcf(c_71111,plain,
cons(sK57,sK58) != cons(sK57,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_71099,c_30768,c_12995]) ).
tcf(c_71112,plain,
cons(sK57,iPr_def_12) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_71088,c_17779,c_12995,c_12859]) ).
tcf(c_71113,plain,
! [X0: $i] :
( memberP(cons(sK57,iPr_def_12),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71098,c_12995,c_12859]) ).
tcf(c_71117,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_12),X0)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71097,c_12995,c_12859]) ).
tcf(c_71121,plain,
! [X0: $i] :
( memberP(cons(sK57,iPr_def_12),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71095,c_12995,c_12859]) ).
tcf(c_71125,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_12),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71094,c_12995,c_12859]) ).
tcf(c_71129,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_71086,c_12995,c_12859]) ).
tcf(c_71134,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_71093,c_12995,c_12859]) ).
tcf(c_71138,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_71092,c_12995,c_12859]) ).
tcf(c_71142,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_71096,c_12995,c_12859]) ).
tcf(c_71147,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_71083,c_70805]) ).
tcf(c_71148,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_71147,c_12995,c_12859]) ).
tcf(c_71152,plain,
( ( cons(sK57,iPr_def_10) = sK59 )
| ~ rearsegP(sK59,cons(sK57,iPr_def_10)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_61520,c_71102]) ).
tcf(c_71153,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_61270,c_71102]) ).
tcf(c_71154,plain,
! [X0: $i] :
( memberP(cons(sK57,iPr_def_10),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_61265,c_71102]) ).
tcf(c_71155,plain,
( ( nil = sK59 )
| ( cons(sK57,iPr_def_10) != nil ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_61258,c_71102]) ).
tcf(c_71156,plain,
frontsegP(cons(sK57,iPr_def_10),cons(sK57,iPr_def_12)),
inference(backward_subsumption_resolution,[status(thm)],[c_61249,c_71102]) ).
tcf(c_71157,plain,
rearsegP(cons(sK57,iPr_def_10),sK59),
inference(backward_subsumption_resolution,[status(thm)],[c_61246,c_71102]) ).
tcf(c_71413,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_71102,c_228]) ).
tcf(c_71414,plain,
cons(sK57,cons(sK57,iPr_def_12)) = app(iPr_def_11,cons(sK57,iPr_def_12)),
inference(superposition,[status(thm)],[c_71102,c_16754]) ).
tcf(c_71415,plain,
app(app(sK58,cons(sK57,iPr_def_12)),sK56) = app(sK58,app(cons(sK57,iPr_def_12),sK56)),
inference(superposition,[status(thm)],[c_71102,c_64254]) ).
tcf(c_71416,plain,
app(app(sK59,cons(sK57,iPr_def_12)),sK56) = app(sK59,app(cons(sK57,iPr_def_12),sK56)),
inference(superposition,[status(thm)],[c_71102,c_64253]) ).
tcf(c_71417,plain,
app(app(sK56,cons(sK57,iPr_def_12)),sK56) = app(sK56,app(cons(sK57,iPr_def_12),sK56)),
inference(superposition,[status(thm)],[c_71102,c_64252]) ).
tcf(c_71418,plain,
! [X0: $i] :
( ( app(app(cons(sK57,iPr_def_12),X0),sK56) = app(cons(sK57,iPr_def_12),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_71102,c_23049]) ).
tcf(c_71419,plain,
hd(app(iPr_def_11,cons(sK57,iPr_def_12))) = sK57,
inference(superposition,[status(thm)],[c_71102,c_19361]) ).
tcf(c_71420,plain,
hd(cons(sK60,cons(sK57,iPr_def_12))) = sK60,
inference(superposition,[status(thm)],[c_71102,c_19068]) ).
tcf(c_71421,plain,
tl(cons(sK60,cons(sK57,iPr_def_12))) = cons(sK57,iPr_def_12),
inference(superposition,[status(thm)],[c_71102,c_19067]) ).
tcf(c_71422,plain,
cons(sK57,app(cons(sK57,iPr_def_12),sK58)) = app(cons(sK57,cons(sK57,iPr_def_12)),sK58),
inference(superposition,[status(thm)],[c_71102,c_37537]) ).
tcf(c_71423,plain,
tl(cons(sK7,cons(sK57,iPr_def_12))) = cons(sK57,iPr_def_12),
inference(superposition,[status(thm)],[c_71102,c_14098]) ).
tcf(c_71424,plain,
tl(cons(sK6,cons(sK57,iPr_def_12))) = cons(sK57,iPr_def_12),
inference(superposition,[status(thm)],[c_71102,c_14097]) ).
tcf(c_71425,plain,
cons(sK57,app(cons(sK57,iPr_def_12),sK59)) = app(cons(sK57,cons(sK57,iPr_def_12)),sK59),
inference(superposition,[status(thm)],[c_71102,c_37536]) ).
tcf(c_71426,plain,
hd(cons(sK7,cons(sK57,iPr_def_12))) = sK7,
inference(superposition,[status(thm)],[c_71102,c_13924]) ).
tcf(c_71427,plain,
hd(cons(sK6,cons(sK57,iPr_def_12))) = sK6,
inference(superposition,[status(thm)],[c_71102,c_13923]) ).
tcf(c_71428,plain,
cons(sK57,app(cons(sK57,iPr_def_12),sK56)) = app(cons(sK57,cons(sK57,iPr_def_12)),sK56),
inference(superposition,[status(thm)],[c_71102,c_37535]) ).
tcf(c_71429,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_71102,c_22705]) ).
tcf(c_71430,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,iPr_def_12)) = tl(app(sK58,cons(sK57,iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_71102,c_21826]) ).
tcf(c_71431,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,iPr_def_12)) = tl(app(sK59,cons(sK57,iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_71102,c_21825]) ).
tcf(c_71432,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,iPr_def_12)) = tl(app(sK56,cons(sK57,iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_71102,c_21824]) ).
tcf(c_71433,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_71102,c_124]) ).
tcf(c_71434,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_71102,c_116]) ).
tcf(c_71435,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_71102,c_108]) ).
tcf(c_71436,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,iPr_def_12))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_71102,c_19350]) ).
tcf(c_71437,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_71102,c_234]) ).
tcf(c_71438,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,iPr_def_12))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_71102,c_19349]) ).
tcf(c_71439,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,iPr_def_12))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_71102,c_19348]) ).
tcf(c_71440,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_71102,c_132]) ).
tcf(c_71441,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_71102,c_233]) ).
tcf(c_71442,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_71102,c_224]) ).
tcf(c_71443,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_71102,c_147]) ).
tcf(c_71444,plain,
tl(cons(sK57,cons(sK57,iPr_def_12))) = cons(sK57,iPr_def_12),
inference(superposition,[status(thm)],[c_71102,c_14117]) ).
tcf(c_71445,plain,
hd(cons(sK57,cons(sK57,iPr_def_12))) = sK57,
inference(superposition,[status(thm)],[c_71102,c_13943]) ).
tcf(c_71446,plain,
( ( cons(sK57,iPr_def_12) = nil )
| ( tl(cons(sK57,iPr_def_12)) = sK52(cons(sK57,iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_71102,c_222]) ).
tcf(c_71447,plain,
( ( cons(sK57,iPr_def_12) = nil )
| ( hd(cons(sK57,iPr_def_12)) = sK51(cons(sK57,iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_71102,c_220]) ).
tcf(c_71448,plain,
( duplicatefreeP(cons(sK57,iPr_def_12))
| ( sK40(cons(sK57,iPr_def_12)) = sK41(cons(sK57,iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_71102,c_123]) ).
tcf(c_71449,plain,
app(cons(sK57,iPr_def_12),nil) = cons(sK57,iPr_def_12),
inference(superposition,[status(thm)],[c_71102,c_232]) ).
tcf(c_71450,plain,
app(nil,cons(sK57,iPr_def_12)) = cons(sK57,iPr_def_12),
inference(superposition,[status(thm)],[c_71102,c_155]) ).
tcf(c_71459,plain,
( ( cons(sK57,iPr_def_12) = nil )
| ( sK51(cons(sK57,iPr_def_12)) = sK57 ) ),
inference(light_normalisation,[status(thm)],[c_71447,c_14791]) ).
tcf(c_71462,plain,
( ( cons(sK57,iPr_def_12) = nil )
| ( sK52(cons(sK57,iPr_def_12)) = iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_71446,c_14963]) ).
tcf(c_71465,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_71428,c_38044]) ).
tcf(c_71466,plain,
app(cons(sK57,cons(sK57,iPr_def_12)),sK59) = cons(sK57,cons(sK57,iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_71425,c_41667]) ).
tcf(c_71467,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_71422,c_45248]) ).
tcf(c_71468,plain,
app(app(sK56,cons(sK57,iPr_def_12)),sK56) = app(sK56,cons(sK57,app(iPr_def_12,sK56))),
inference(light_normalisation,[status(thm)],[c_71417,c_38044]) ).
tcf(c_71469,plain,
app(app(sK59,cons(sK57,iPr_def_12)),sK56) = app(sK59,cons(sK57,app(iPr_def_12,sK56))),
inference(light_normalisation,[status(thm)],[c_71416,c_38044]) ).
tcf(c_71470,plain,
app(app(sK58,cons(sK57,iPr_def_12)),sK56) = app(sK58,cons(sK57,app(iPr_def_12,sK56))),
inference(light_normalisation,[status(thm)],[c_71415,c_38044]) ).
tcf(c_71484,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_71441,c_14791]) ).
tcf(c_71491,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_71437,c_14963]) ).
tcf(c_71582,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_71103,c_183]) ).
tcf(c_71583,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_71103,c_184]) ).
tcf(c_71584,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_71103,c_66]) ).
tcf(c_71585,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_71584,c_12995,c_71102]) ).
tcf(c_71586,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_71583,c_12995,c_71102]) ).
tcf(c_71590,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_71104,c_173]) ).
tcf(c_71591,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_71104,c_174]) ).
tcf(c_71592,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_71104,c_63]) ).
tcf(c_71594,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_71592,c_12859,c_71102]) ).
tcf(c_71595,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_71591,c_12859,c_71102]) ).
tcf(c_71603,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),app(sK58,app(sK59,sK56))) = app(X0,app(X1,app(sK58,app(sK59,sK56)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_228]) ).
tcf(c_71604,plain,
( ( cons(sK57,app(sK58,app(sK59,sK56))) = app(iPr_def_11,app(sK58,app(sK59,sK56))) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_16754]) ).
tcf(c_71605,plain,
( ( app(app(sK58,app(sK58,app(sK59,sK56))),sK56) = app(sK58,app(app(sK58,app(sK59,sK56)),sK56)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_64254]) ).
tcf(c_71606,plain,
( ( app(app(sK59,app(sK58,app(sK59,sK56))),sK56) = app(sK59,app(app(sK58,app(sK59,sK56)),sK56)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_64253]) ).
tcf(c_71607,plain,
( ( app(app(sK56,app(sK58,app(sK59,sK56))),sK56) = app(sK56,app(app(sK58,app(sK59,sK56)),sK56)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_64252]) ).
tcf(c_71608,plain,
! [X0: $i] :
( ( app(app(app(sK58,app(sK59,sK56)),X0),sK56) = app(app(sK58,app(sK59,sK56)),app(X0,sK56)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_23049]) ).
tcf(c_71609,plain,
( ( hd(app(iPr_def_11,app(sK58,app(sK59,sK56)))) = sK57 )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_19361]) ).
tcf(c_71610,plain,
( ( hd(cons(sK60,app(sK58,app(sK59,sK56)))) = sK60 )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_19068]) ).
tcf(c_71611,plain,
( ( tl(cons(sK60,app(sK58,app(sK59,sK56)))) = app(sK58,app(sK59,sK56)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_19067]) ).
tcf(c_71612,plain,
( ( cons(sK57,app(app(sK58,app(sK59,sK56)),sK58)) = app(cons(sK57,app(sK58,app(sK59,sK56))),sK58) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_37537]) ).
tcf(c_71613,plain,
( ( tl(cons(sK7,app(sK58,app(sK59,sK56)))) = app(sK58,app(sK59,sK56)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_14098]) ).
tcf(c_71614,plain,
( ( tl(cons(sK6,app(sK58,app(sK59,sK56)))) = app(sK58,app(sK59,sK56)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_14097]) ).
tcf(c_71615,plain,
( ( cons(sK57,app(app(sK58,app(sK59,sK56)),sK59)) = app(cons(sK57,app(sK58,app(sK59,sK56))),sK59) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_37536]) ).
tcf(c_71616,plain,
( ( hd(cons(sK7,app(sK58,app(sK59,sK56)))) = sK7 )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_13924]) ).
tcf(c_71617,plain,
( ( hd(cons(sK6,app(sK58,app(sK59,sK56)))) = sK6 )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_13923]) ).
tcf(c_71618,plain,
( ( cons(sK57,app(app(sK58,app(sK59,sK56)),sK56)) = app(cons(sK57,app(sK58,app(sK59,sK56))),sK56) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_37535]) ).
tcf(c_71619,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,app(sK58,app(sK59,sK56)))) = app(cons(sK57,X0),app(sK58,app(sK59,sK56))) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_22705]) ).
tcf(c_71620,plain,
( ( nil = sK58 )
| ( app(tl(sK58),app(sK58,app(sK59,sK56))) = tl(app(sK58,app(sK58,app(sK59,sK56)))) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_21826]) ).
tcf(c_71621,plain,
( ( nil = sK59 )
| ( app(tl(sK59),app(sK58,app(sK59,sK56))) = tl(app(sK59,app(sK58,app(sK59,sK56)))) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_21825]) ).
tcf(c_71622,plain,
( ( nil = sK56 )
| ( app(tl(sK56),app(sK58,app(sK59,sK56))) = tl(app(sK56,app(sK58,app(sK59,sK56)))) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_21824]) ).
tcf(c_71623,plain,
( duplicatefreeP(app(sK58,app(sK59,sK56)))
| ( app(app(sK42(app(sK58,app(sK59,sK56))),cons(sK40(app(sK58,app(sK59,sK56))),sK43(app(sK58,app(sK59,sK56))))),cons(sK41(app(sK58,app(sK59,sK56))),sK44(app(sK58,app(sK59,sK56))))) = app(sK58,app(sK59,sK56)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_124]) ).
tcf(c_71624,plain,
( strictorderedP(app(sK58,app(sK59,sK56)))
| ( app(app(sK37(app(sK58,app(sK59,sK56))),cons(sK35(app(sK58,app(sK59,sK56))),sK38(app(sK58,app(sK59,sK56))))),cons(sK36(app(sK58,app(sK59,sK56))),sK39(app(sK58,app(sK59,sK56))))) = app(sK58,app(sK59,sK56)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_116]) ).
tcf(c_71625,plain,
( totalorderedP(app(sK58,app(sK59,sK56)))
| ( app(app(sK32(app(sK58,app(sK59,sK56))),cons(sK30(app(sK58,app(sK59,sK56))),sK33(app(sK58,app(sK59,sK56))))),cons(sK31(app(sK58,app(sK59,sK56))),sK34(app(sK58,app(sK59,sK56))))) = app(sK58,app(sK59,sK56)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_108]) ).
tcf(c_71626,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK58,app(sK59,sK56)))) = hd(sK58) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_19350]) ).
tcf(c_71627,plain,
! [X0: $i] :
( ( app(sK58,app(sK59,sK56)) = nil )
| ( app(tl(app(sK58,app(sK59,sK56))),X0) = tl(app(app(sK58,app(sK59,sK56)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_234]) ).
tcf(c_71628,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK58,app(sK59,sK56)))) = hd(sK59) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_19349]) ).
tcf(c_71629,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK58,app(sK59,sK56)))) = hd(sK56) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_19348]) ).
tcf(c_71630,plain,
( equalelemsP(app(sK58,app(sK59,sK56)))
| ( app(sK47(app(sK58,app(sK59,sK56))),cons(sK45(app(sK58,app(sK59,sK56))),cons(sK46(app(sK58,app(sK59,sK56))),sK48(app(sK58,app(sK59,sK56)))))) = app(sK58,app(sK59,sK56)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_132]) ).
tcf(c_71631,plain,
! [X0: $i] :
( ( app(sK58,app(sK59,sK56)) = nil )
| ( hd(app(app(sK58,app(sK59,sK56)),X0)) = hd(app(sK58,app(sK59,sK56))) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_233]) ).
tcf(c_71632,plain,
( ( app(sK58,app(sK59,sK56)) = nil )
| ( cons(hd(app(sK58,app(sK59,sK56))),tl(app(sK58,app(sK59,sK56)))) = app(sK58,app(sK59,sK56)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_224]) ).
tcf(c_71633,plain,
( ( app(sK58,app(sK59,sK56)) = nil )
| ( cons(sK50(app(sK58,app(sK59,sK56))),sK49(app(sK58,app(sK59,sK56)))) = app(sK58,app(sK59,sK56)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_147]) ).
tcf(c_71634,plain,
( ( tl(cons(sK57,app(sK58,app(sK59,sK56)))) = app(sK58,app(sK59,sK56)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_14117]) ).
tcf(c_71635,plain,
( ( hd(cons(sK57,app(sK58,app(sK59,sK56)))) = sK57 )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_13943]) ).
tcf(c_71636,plain,
( ( app(sK58,app(sK59,sK56)) = nil )
| ( tl(app(sK58,app(sK59,sK56))) = sK52(app(sK58,app(sK59,sK56))) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_222]) ).
tcf(c_71637,plain,
( ( app(sK58,app(sK59,sK56)) = nil )
| ( hd(app(sK58,app(sK59,sK56))) = sK51(app(sK58,app(sK59,sK56))) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_220]) ).
tcf(c_71638,plain,
( duplicatefreeP(app(sK58,app(sK59,sK56)))
| ( sK40(app(sK58,app(sK59,sK56))) = sK41(app(sK58,app(sK59,sK56))) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_123]) ).
tcf(c_71639,plain,
( ( app(app(sK58,app(sK59,sK56)),nil) = app(sK58,app(sK59,sK56)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_232]) ).
tcf(c_71640,plain,
( ( app(nil,app(sK58,app(sK59,sK56))) = app(sK58,app(sK59,sK56)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_155]) ).
tcf(c_71799,plain,
! [X0: $i] :
( segmentP(app(app(sK58,app(sK58,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(app(app(sK58,sK58),sK56),X0)) ),
inference(superposition,[status(thm)],[c_69667,c_67]) ).
tcf(c_71802,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(app(sK58,sK58),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK58))
| ~ memberP(app(sK58,app(sK58,sK56)),X0) ),
inference(superposition,[status(thm)],[c_69667,c_167]) ).
tcf(c_71803,plain,
( ( app(sK58,sK58) = nil )
| ~ ssList(sK56)
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_69667,c_231]) ).
tcf(c_71804,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_69667,c_230]) ).
tcf(c_71805,plain,
( frontsegP(app(sK58,app(sK58,sK56)),app(sK58,sK58))
| ~ ssList(sK56)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_69667,c_386]) ).
tcf(c_71806,plain,
( rearsegP(app(sK58,app(sK58,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_69667,c_383]) ).
tcf(c_71807,plain,
( ssList(app(sK58,app(sK58,sK56)))
| ~ ssList(sK56)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_69667,c_153]) ).
tcf(c_71808,plain,
! [X0: $i] :
( ( app(sK58,sK58) = X0 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK56)) != app(X0,sK56) ) ),
inference(superposition,[status(thm)],[c_69667,c_225]) ).
tcf(c_71809,plain,
( segmentP(app(sK58,app(sK58,sK56)),sK58)
| ~ ssList(sK58)
| ~ ssList(sK56)
| ~ ssList(app(app(sK58,sK58),sK56)) ),
inference(superposition,[status(thm)],[c_69667,c_67]) ).
tcf(c_71810,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ( app(app(sK58,sK58),X0) != app(sK58,app(sK58,sK56)) ) ),
inference(superposition,[status(thm)],[c_69667,c_226]) ).
tcf(c_71811,plain,
! [X0: $i] :
( frontsegP(app(sK58,app(sK58,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ~ frontsegP(app(sK58,sK58),X0) ),
inference(superposition,[status(thm)],[c_69667,c_176]) ).
tcf(c_71812,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK58,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK58))
| ~ memberP(app(sK58,sK58),X0) ),
inference(superposition,[status(thm)],[c_69667,c_165]) ).
tcf(c_71813,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK58,app(sK58,sK56)),X1),X0)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_69667,c_193]) ).
tcf(c_71814,plain,
! [X0: $i] :
( rearsegP(app(sK58,app(sK58,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_69667,c_186]) ).
tcf(c_71815,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK58,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_69667,c_166]) ).
tcf(c_71816,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK58,sK56)),X0)
| ~ ssList(sK58)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_69667,c_193]) ).
tcf(c_71817,plain,
( ( app(sK58,sK58) = iPr_def_11 )
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK56)) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_69667,c_39002]) ).
tcf(c_71818,plain,
( ( app(sK58,sK58) = nil )
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_69667,c_25412]) ).
tcf(c_71819,plain,
( ssList(app(sK58,app(sK58,sK56)))
| ~ ssList(app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71807,c_9004]) ).
tcf(c_71822,plain,
( rearsegP(app(sK58,app(sK58,sK56)),sK56)
| ~ ssList(app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71806,c_9004]) ).
tcf(c_71825,plain,
( frontsegP(app(sK58,app(sK58,sK56)),app(sK58,sK58))
| ~ ssList(app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71805,c_9004]) ).
tcf(c_71831,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK58,sK56)),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71816,c_9000,c_9004]) ).
tcf(c_71835,plain,
( segmentP(app(sK58,app(sK58,sK56)),sK58)
| ~ ssList(sK58)
| ~ ssList(sK56)
| ~ ssList(app(sK58,app(sK58,sK56))) ),
inference(light_normalisation,[status(thm)],[c_71809,c_69667]) ).
tcf(c_71836,plain,
( segmentP(app(sK58,app(sK58,sK56)),sK58)
| ~ ssList(app(sK58,app(sK58,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71835,c_9000,c_9004]) ).
tcf(c_71839,plain,
( ( nil = sK56 )
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71804,c_9004]) ).
tcf(c_71846,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK58,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71815,c_9004]) ).
tcf(c_71851,plain,
! [X0: $i] :
( rearsegP(app(sK58,app(sK58,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71814,c_9004]) ).
tcf(c_71856,plain,
( ( app(sK58,sK58) = nil )
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71803,c_9004]) ).
tcf(c_71860,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK58,sK56)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK58))
| ~ memberP(app(sK58,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71812,c_9004]) ).
tcf(c_71865,plain,
! [X0: $i] :
( frontsegP(app(sK58,app(sK58,sK56)),X0)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ~ frontsegP(app(sK58,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71811,c_9004]) ).
tcf(c_71870,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK58,app(sK58,sK56)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71813,c_9004]) ).
tcf(c_71876,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(app(sK58,sK58),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK58))
| ~ memberP(app(sK58,app(sK58,sK56)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71802,c_9004]) ).
tcf(c_71882,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ( app(app(sK58,sK58),X0) != app(sK58,app(sK58,sK56)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71810,c_9004]) ).
tcf(c_71887,plain,
! [X0: $i] :
( ( app(sK58,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK56)) != app(X0,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71808,c_9004]) ).
tcf(c_71892,plain,
! [X0: $i] :
( segmentP(app(app(sK58,app(sK58,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(app(sK58,app(sK58,sK56)),X0)) ),
inference(light_normalisation,[status(thm)],[c_71799,c_69667]) ).
tcf(c_71893,plain,
! [X0: $i] :
( segmentP(app(app(sK58,app(sK58,sK56)),X0),sK56)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(app(sK58,app(sK58,sK56)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71892,c_9004]) ).
tcf(c_71937,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),app(sK58,app(sK58,sK56))) = app(X0,app(X1,app(sK58,app(sK58,sK56)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_228]) ).
tcf(c_71938,plain,
( ( cons(sK57,app(sK58,app(sK58,sK56))) = app(iPr_def_11,app(sK58,app(sK58,sK56))) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_16754]) ).
tcf(c_71939,plain,
( ( app(app(sK58,app(sK58,app(sK58,sK56))),sK56) = app(sK58,app(app(sK58,app(sK58,sK56)),sK56)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_64254]) ).
tcf(c_71940,plain,
( ( app(app(sK59,app(sK58,app(sK58,sK56))),sK56) = app(sK59,app(app(sK58,app(sK58,sK56)),sK56)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_64253]) ).
tcf(c_71941,plain,
( ( app(app(sK56,app(sK58,app(sK58,sK56))),sK56) = app(sK56,app(app(sK58,app(sK58,sK56)),sK56)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_64252]) ).
tcf(c_71942,plain,
! [X0: $i] :
( ( app(app(app(sK58,app(sK58,sK56)),X0),sK56) = app(app(sK58,app(sK58,sK56)),app(X0,sK56)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_23049]) ).
tcf(c_71943,plain,
( ( hd(app(iPr_def_11,app(sK58,app(sK58,sK56)))) = sK57 )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_19361]) ).
tcf(c_71944,plain,
( ( hd(cons(sK60,app(sK58,app(sK58,sK56)))) = sK60 )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_19068]) ).
tcf(c_71945,plain,
( ( tl(cons(sK60,app(sK58,app(sK58,sK56)))) = app(sK58,app(sK58,sK56)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_19067]) ).
tcf(c_71946,plain,
( ( cons(sK57,app(app(sK58,app(sK58,sK56)),sK58)) = app(cons(sK57,app(sK58,app(sK58,sK56))),sK58) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_37537]) ).
tcf(c_71947,plain,
( ( tl(cons(sK7,app(sK58,app(sK58,sK56)))) = app(sK58,app(sK58,sK56)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_14098]) ).
tcf(c_71948,plain,
( ( tl(cons(sK6,app(sK58,app(sK58,sK56)))) = app(sK58,app(sK58,sK56)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_14097]) ).
tcf(c_71949,plain,
( ( cons(sK57,app(app(sK58,app(sK58,sK56)),sK59)) = app(cons(sK57,app(sK58,app(sK58,sK56))),sK59) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_37536]) ).
tcf(c_71950,plain,
( ( hd(cons(sK7,app(sK58,app(sK58,sK56)))) = sK7 )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_13924]) ).
tcf(c_71951,plain,
( ( hd(cons(sK6,app(sK58,app(sK58,sK56)))) = sK6 )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_13923]) ).
tcf(c_71952,plain,
( ( cons(sK57,app(app(sK58,app(sK58,sK56)),sK56)) = app(cons(sK57,app(sK58,app(sK58,sK56))),sK56) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_37535]) ).
tcf(c_71953,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,app(sK58,app(sK58,sK56)))) = app(cons(sK57,X0),app(sK58,app(sK58,sK56))) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_22705]) ).
tcf(c_71954,plain,
( ( nil = sK58 )
| ( app(tl(sK58),app(sK58,app(sK58,sK56))) = tl(app(sK58,app(sK58,app(sK58,sK56)))) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_21826]) ).
tcf(c_71955,plain,
( ( nil = sK59 )
| ( app(tl(sK59),app(sK58,app(sK58,sK56))) = tl(app(sK59,app(sK58,app(sK58,sK56)))) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_21825]) ).
tcf(c_71956,plain,
( ( nil = sK56 )
| ( app(tl(sK56),app(sK58,app(sK58,sK56))) = tl(app(sK56,app(sK58,app(sK58,sK56)))) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_21824]) ).
tcf(c_71957,plain,
( duplicatefreeP(app(sK58,app(sK58,sK56)))
| ( app(app(sK42(app(sK58,app(sK58,sK56))),cons(sK40(app(sK58,app(sK58,sK56))),sK43(app(sK58,app(sK58,sK56))))),cons(sK41(app(sK58,app(sK58,sK56))),sK44(app(sK58,app(sK58,sK56))))) = app(sK58,app(sK58,sK56)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_124]) ).
tcf(c_71958,plain,
( strictorderedP(app(sK58,app(sK58,sK56)))
| ( app(app(sK37(app(sK58,app(sK58,sK56))),cons(sK35(app(sK58,app(sK58,sK56))),sK38(app(sK58,app(sK58,sK56))))),cons(sK36(app(sK58,app(sK58,sK56))),sK39(app(sK58,app(sK58,sK56))))) = app(sK58,app(sK58,sK56)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_116]) ).
tcf(c_71959,plain,
( totalorderedP(app(sK58,app(sK58,sK56)))
| ( app(app(sK32(app(sK58,app(sK58,sK56))),cons(sK30(app(sK58,app(sK58,sK56))),sK33(app(sK58,app(sK58,sK56))))),cons(sK31(app(sK58,app(sK58,sK56))),sK34(app(sK58,app(sK58,sK56))))) = app(sK58,app(sK58,sK56)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_108]) ).
tcf(c_71960,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK58,app(sK58,sK56)))) = hd(sK58) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_19350]) ).
tcf(c_71961,plain,
! [X0: $i] :
( ( app(sK58,app(sK58,sK56)) = nil )
| ( app(tl(app(sK58,app(sK58,sK56))),X0) = tl(app(app(sK58,app(sK58,sK56)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_234]) ).
tcf(c_71962,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK58,app(sK58,sK56)))) = hd(sK59) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_19349]) ).
tcf(c_71963,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK58,app(sK58,sK56)))) = hd(sK56) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_19348]) ).
tcf(c_71964,plain,
( equalelemsP(app(sK58,app(sK58,sK56)))
| ( app(sK47(app(sK58,app(sK58,sK56))),cons(sK45(app(sK58,app(sK58,sK56))),cons(sK46(app(sK58,app(sK58,sK56))),sK48(app(sK58,app(sK58,sK56)))))) = app(sK58,app(sK58,sK56)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_132]) ).
tcf(c_71965,plain,
! [X0: $i] :
( ( app(sK58,app(sK58,sK56)) = nil )
| ( hd(app(app(sK58,app(sK58,sK56)),X0)) = hd(app(sK58,app(sK58,sK56))) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_233]) ).
tcf(c_71966,plain,
( ( app(sK58,app(sK58,sK56)) = nil )
| ( cons(hd(app(sK58,app(sK58,sK56))),tl(app(sK58,app(sK58,sK56)))) = app(sK58,app(sK58,sK56)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_224]) ).
tcf(c_71967,plain,
( ( app(sK58,app(sK58,sK56)) = nil )
| ( cons(sK50(app(sK58,app(sK58,sK56))),sK49(app(sK58,app(sK58,sK56)))) = app(sK58,app(sK58,sK56)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_147]) ).
tcf(c_71968,plain,
( ( tl(cons(sK57,app(sK58,app(sK58,sK56)))) = app(sK58,app(sK58,sK56)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_14117]) ).
tcf(c_71969,plain,
( ( hd(cons(sK57,app(sK58,app(sK58,sK56)))) = sK57 )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_13943]) ).
tcf(c_71970,plain,
( ( app(sK58,app(sK58,sK56)) = nil )
| ( tl(app(sK58,app(sK58,sK56))) = sK52(app(sK58,app(sK58,sK56))) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_222]) ).
tcf(c_71971,plain,
( ( app(sK58,app(sK58,sK56)) = nil )
| ( hd(app(sK58,app(sK58,sK56))) = sK51(app(sK58,app(sK58,sK56))) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_220]) ).
tcf(c_71972,plain,
( duplicatefreeP(app(sK58,app(sK58,sK56)))
| ( sK40(app(sK58,app(sK58,sK56))) = sK41(app(sK58,app(sK58,sK56))) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_123]) ).
tcf(c_71973,plain,
( ( app(app(sK58,app(sK58,sK56)),nil) = app(sK58,app(sK58,sK56)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_232]) ).
tcf(c_71974,plain,
( ( app(nil,app(sK58,app(sK58,sK56))) = app(sK58,app(sK58,sK56)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_155]) ).
tcf(c_72137,plain,
! [X0: $i] :
( rearsegP(app(sK58,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(sK58,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_70079,c_183]) ).
tcf(c_72138,plain,
( ( app(sK58,app(sK56,sK56)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(sK58,app(sK56,sK56)))
| ~ rearsegP(sK56,app(sK58,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_70079,c_184]) ).
tcf(c_72139,plain,
( ( app(sK12(app(sK58,app(sK56,sK56)),sK56),sK56) = app(sK58,app(sK56,sK56)) )
| ~ ssList(sK56)
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(sK58,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_70079,c_66]) ).
tcf(c_72141,plain,
( ( app(sK12(app(sK58,app(sK56,sK56)),sK56),sK56) = app(sK58,app(sK56,sK56)) )
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(sK58,app(sK56,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72139,c_9004]) ).
tcf(c_72145,plain,
( ( app(sK58,app(sK56,sK56)) = sK56 )
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(sK58,app(sK56,sK56)))
| ~ rearsegP(sK56,app(sK58,app(sK56,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72138,c_9004]) ).
tcf(c_72154,plain,
! [X0: $i] :
( rearsegP(app(sK58,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(sK58,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_70618,c_183]) ).
tcf(c_72155,plain,
( ( app(sK58,app(sK59,sK56)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(sK58,app(sK59,sK56)))
| ~ rearsegP(sK56,app(sK58,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_70618,c_184]) ).
tcf(c_72156,plain,
( ( app(sK12(app(sK58,app(sK59,sK56)),sK56),sK56) = app(sK58,app(sK59,sK56)) )
| ~ ssList(sK56)
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(sK58,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_70618,c_66]) ).
tcf(c_72158,plain,
( ( app(sK12(app(sK58,app(sK59,sK56)),sK56),sK56) = app(sK58,app(sK59,sK56)) )
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(sK58,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72156,c_9004]) ).
tcf(c_72162,plain,
( ( app(sK58,app(sK59,sK56)) = sK56 )
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(sK58,app(sK59,sK56)))
| ~ rearsegP(sK56,app(sK58,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72155,c_9004]) ).
tcf(c_72207,plain,
! [X0: $i] :
( rearsegP(app(sK58,app(sK58,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(sK58,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_71822,c_183]) ).
tcf(c_72208,plain,
( ( app(sK58,app(sK58,sK56)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(sK58,app(sK58,sK56)))
| ~ rearsegP(sK56,app(sK58,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_71822,c_184]) ).
tcf(c_72209,plain,
( ( app(sK12(app(sK58,app(sK58,sK56)),sK56),sK56) = app(sK58,app(sK58,sK56)) )
| ~ ssList(sK56)
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(sK58,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_71822,c_66]) ).
tcf(c_72211,plain,
( ( app(sK12(app(sK58,app(sK58,sK56)),sK56),sK56) = app(sK58,app(sK58,sK56)) )
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(sK58,app(sK58,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72209,c_9004]) ).
tcf(c_72215,plain,
( ( app(sK58,app(sK58,sK56)) = sK56 )
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(sK58,app(sK58,sK56)))
| ~ rearsegP(sK56,app(sK58,app(sK58,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72208,c_9004]) ).
tcf(c_72266,plain,
( ( app(sK58,app(sK56,sK56)) = app(sK58,sK56) )
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(sK58,app(sK56,sK56)))
| ~ frontsegP(app(sK58,sK56),app(sK58,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_70082,c_174]) ).
tcf(c_72267,plain,
( ( app(app(sK58,sK56),sK11(app(sK58,app(sK56,sK56)),app(sK58,sK56))) = app(sK58,app(sK56,sK56)) )
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(sK58,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_70082,c_63]) ).
tcf(c_72284,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK58,app(sK56,sK56)),X0),X0),sK14(app(sK58,app(sK56,sK56)),X0)) = app(sK58,app(sK56,sK56)) )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK58,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_70088,c_70]) ).
tcf(c_72285,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK58,app(sK56,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ segmentP(X0,X1)
| ~ ssList(app(sK58,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_70088,c_190]) ).
tcf(c_72286,plain,
! [X0: $i] :
( ( app(sK58,app(sK56,sK56)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK58,app(sK56,sK56)))
| ~ segmentP(X0,app(sK58,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_70088,c_191]) ).
tcf(c_72373,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_71157,c_183]) ).
tcf(c_72374,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_71157,c_184]) ).
tcf(c_72383,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_71449,c_67]) ).
tcf(c_72389,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_71449,c_386]) ).
tcf(c_72390,plain,
( rearsegP(cons(sK57,iPr_def_12),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_71449,c_383]) ).
tcf(c_72392,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_71449,c_225]) ).
tcf(c_72393,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_71449,c_226]) ).
tcf(c_72396,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_71449,c_193]) ).
tcf(c_72397,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_71449,c_186]) ).
tcf(c_72402,plain,
rearsegP(cons(sK57,iPr_def_12),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_72390,c_141,c_71102]) ).
tcf(c_72403,plain,
frontsegP(cons(sK57,iPr_def_12),cons(sK57,iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_72389,c_141,c_71102]) ).
tcf(c_72404,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_12),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72397,c_141,c_71102]) ).
tcf(c_72408,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_72396,c_141,c_71102]) ).
tcf(c_72413,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_72393,c_141,c_71102]) ).
tcf(c_72417,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_72392,c_141,c_71102]) ).
tcf(c_72421,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_72383,c_71449]) ).
tcf(c_72422,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_72421,c_141,c_71102]) ).
tcf(c_72618,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_72402,c_184]) ).
tcf(c_72619,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_72402,c_66]) ).
tcf(c_72620,plain,
app(sK12(cons(sK57,iPr_def_12),nil),nil) = cons(sK57,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_72619,c_141,c_71102]) ).
tcf(c_72621,plain,
~ rearsegP(nil,cons(sK57,iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_72618,c_71112,c_141,c_71102]) ).
tcf(c_72624,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_72403,c_63]) ).
tcf(c_72627,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_72624,c_71102]) ).
tcf(c_72628,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_70806,c_67]) ).
tcf(c_72631,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_70806,c_167]) ).
tcf(c_72632,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ( cons(sK57,iPr_def_11) != nil ) ),
inference(superposition,[status(thm)],[c_70806,c_231]) ).
tcf(c_72634,plain,
( frontsegP(cons(sK57,iPr_def_11),iPr_def_11)
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_70806,c_386]) ).
tcf(c_72635,plain,
( rearsegP(cons(sK57,iPr_def_11),iPr_def_11)
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_70806,c_383]) ).
tcf(c_72636,plain,
( ssList(cons(sK57,iPr_def_11))
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_70806,c_153]) ).
tcf(c_72637,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_70806,c_225]) ).
tcf(c_72638,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_70806,c_226]) ).
tcf(c_72639,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_70806,c_176]) ).
tcf(c_72641,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_70806,c_193]) ).
tcf(c_72642,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_70806,c_186]) ).
tcf(c_72643,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_70806,c_166]) ).
tcf(c_72644,plain,
( ( sK58 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ( cons(sK57,iPr_def_11) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_70806,c_25428]) ).
tcf(c_72645,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_70806,c_12240]) ).
tcf(c_72646,plain,
( ( sK58 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ( cons(sK57,sK58) != cons(sK57,iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_70806,c_45965]) ).
tcf(c_72647,plain,
( ( sK59 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ( cons(sK57,sK59) != cons(sK57,iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_70806,c_42703]) ).
tcf(c_72648,plain,
( ( sK56 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ( cons(sK57,sK56) != cons(sK57,iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_70806,c_38998]) ).
tcf(c_72649,plain,
ssList(cons(sK57,iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_72636,c_12859]) ).
tcf(c_72650,plain,
rearsegP(cons(sK57,iPr_def_11),iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_72635,c_12859]) ).
tcf(c_72651,plain,
frontsegP(cons(sK57,iPr_def_11),iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_72634,c_12859]) ).
tcf(c_72652,plain,
( memberP(cons(sK57,iPr_def_11),sK57)
| ~ ssList(iPr_def_11)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(light_normalisation,[status(thm)],[c_72645,c_70806]) ).
tcf(c_72653,plain,
( memberP(cons(sK57,iPr_def_11),sK57)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72652,c_12859]) ).
tcf(c_72656,plain,
( ( sK58 = iPr_def_11 )
| ( cons(sK57,iPr_def_11) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72644,c_12859]) ).
tcf(c_72659,plain,
cons(sK57,iPr_def_11) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_72632,c_13900,c_12859]) ).
tcf(c_72660,plain,
! [X0: $i] :
( memberP(cons(sK57,iPr_def_11),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72643,c_12859]) ).
tcf(c_72664,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_11),X0)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72642,c_12859]) ).
tcf(c_72668,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_11),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72639,c_12859]) ).
tcf(c_72672,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72631,c_12859]) ).
tcf(c_72676,plain,
( ( sK56 = iPr_def_11 )
| ( cons(sK57,sK56) != cons(sK57,iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72648,c_12859]) ).
tcf(c_72679,plain,
( ( sK59 = iPr_def_11 )
| ( cons(sK57,sK59) != cons(sK57,iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72647,c_12859]) ).
tcf(c_72682,plain,
( ( sK58 = iPr_def_11 )
| ( cons(sK57,sK58) != cons(sK57,iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72646,c_12859]) ).
tcf(c_72685,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_72638,c_12859]) ).
tcf(c_72689,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_72637,c_12859]) ).
tcf(c_72693,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_72641,c_12859]) ).
tcf(c_72698,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_72628,c_70806]) ).
tcf(c_72699,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_72698,c_12859]) ).
tcf(c_72730,plain,
( ( app(app(sK13(app(sK58,app(sK56,sK56)),sK56),sK56),sK14(app(sK58,app(sK56,sK56)),sK56)) = app(sK58,app(sK56,sK56)) )
| ~ ssList(sK56)
| ~ ssList(app(sK58,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_70093,c_70]) ).
tcf(c_72731,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK58,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_70093,c_190]) ).
tcf(c_72732,plain,
( ( app(sK58,app(sK56,sK56)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK58,app(sK56,sK56)))
| ~ segmentP(sK56,app(sK58,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_70093,c_191]) ).
tcf(c_72734,plain,
( ( app(sK58,app(sK56,sK56)) = sK56 )
| ~ ssList(app(sK58,app(sK56,sK56)))
| ~ segmentP(sK56,app(sK58,app(sK56,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72732,c_9004]) ).
tcf(c_72738,plain,
( ( app(app(sK13(app(sK58,app(sK56,sK56)),sK56),sK56),sK14(app(sK58,app(sK56,sK56)),sK56)) = app(sK58,app(sK56,sK56)) )
| ~ ssList(app(sK58,app(sK56,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72730,c_9004]) ).
tcf(c_72746,plain,
( ( app(sK58,app(sK59,sK56)) = app(sK58,sK59) )
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(sK58,app(sK59,sK56)))
| ~ frontsegP(app(sK58,sK59),app(sK58,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_70621,c_174]) ).
tcf(c_72747,plain,
( ( app(app(sK58,sK59),sK11(app(sK58,app(sK59,sK56)),app(sK58,sK59))) = app(sK58,app(sK59,sK56)) )
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(sK58,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_70621,c_63]) ).
tcf(c_72809,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK58,app(sK59,sK56)),X0),X0),sK14(app(sK58,app(sK59,sK56)),X0)) = app(sK58,app(sK59,sK56)) )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK58,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_70644,c_70]) ).
tcf(c_72810,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK58,app(sK59,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,X1)
| ~ ssList(app(sK58,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_70644,c_190]) ).
tcf(c_72811,plain,
! [X0: $i] :
( ( app(sK58,app(sK59,sK56)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK58,app(sK59,sK56)))
| ~ segmentP(X0,app(sK58,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_70644,c_191]) ).
tcf(c_72928,plain,
( ( app(app(sK13(app(sK58,app(sK59,sK56)),sK59),sK59),sK14(app(sK58,app(sK59,sK56)),sK59)) = app(sK58,app(sK59,sK56)) )
| ~ ssList(sK59)
| ~ ssList(app(sK58,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_70649,c_70]) ).
tcf(c_72929,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK59,sK56)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK58,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_70649,c_190]) ).
tcf(c_72930,plain,
( ( app(sK58,app(sK59,sK56)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK58,app(sK59,sK56)))
| ~ segmentP(sK59,app(sK58,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_70649,c_191]) ).
tcf(c_72932,plain,
( ( app(sK58,app(sK59,sK56)) = sK59 )
| ~ ssList(app(sK58,app(sK59,sK56)))
| ~ segmentP(sK59,app(sK58,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72930,c_9003]) ).
tcf(c_72936,plain,
( ( app(app(sK13(app(sK58,app(sK59,sK56)),sK59),sK59),sK14(app(sK58,app(sK59,sK56)),sK59)) = app(sK58,app(sK59,sK56)) )
| ~ ssList(app(sK58,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72928,c_9003]) ).
tcf(c_72966,plain,
( ( app(sK58,app(sK58,sK56)) = app(sK58,sK58) )
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(sK58,app(sK58,sK56)))
| ~ frontsegP(app(sK58,sK58),app(sK58,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_71825,c_174]) ).
tcf(c_72967,plain,
( ( app(app(sK58,sK58),sK11(app(sK58,app(sK58,sK56)),app(sK58,sK58))) = app(sK58,app(sK58,sK56)) )
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(sK58,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_71825,c_63]) ).
tcf(c_73061,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK58,app(sK58,sK56)),X0),X0),sK14(app(sK58,app(sK58,sK56)),X0)) = app(sK58,app(sK58,sK56)) )
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK58,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_71831,c_70]) ).
tcf(c_73062,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK58,app(sK58,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ segmentP(X0,X1)
| ~ ssList(app(sK58,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_71831,c_190]) ).
tcf(c_73063,plain,
! [X0: $i] :
( ( app(sK58,app(sK58,sK56)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK58,app(sK58,sK56)))
| ~ segmentP(X0,app(sK58,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_71831,c_191]) ).
tcf(c_73086,plain,
( ( app(app(sK13(app(sK58,app(sK58,sK56)),sK58),sK58),sK14(app(sK58,app(sK58,sK56)),sK58)) = app(sK58,app(sK58,sK56)) )
| ~ ssList(sK58)
| ~ ssList(app(sK58,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_71836,c_70]) ).
tcf(c_73087,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK58,sK56)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK58,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_71836,c_190]) ).
tcf(c_73088,plain,
( ( app(sK58,app(sK58,sK56)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK58,app(sK58,sK56)))
| ~ segmentP(sK58,app(sK58,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_71836,c_191]) ).
tcf(c_73090,plain,
( ( app(sK58,app(sK58,sK56)) = sK58 )
| ~ ssList(app(sK58,app(sK58,sK56)))
| ~ segmentP(sK58,app(sK58,app(sK58,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73088,c_9000]) ).
tcf(c_73094,plain,
( ( app(app(sK13(app(sK58,app(sK58,sK56)),sK58),sK58),sK14(app(sK58,app(sK58,sK56)),sK58)) = app(sK58,app(sK58,sK56)) )
| ~ ssList(app(sK58,app(sK58,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73086,c_9000]) ).
tcf(c_73097,plain,
app(sK12(sK56,sK11(nil,nil)),sK11(nil,nil)) = sK56,
inference(global_subsumption_just,[status(thm)],[c_69361,c_141,c_181,c_330,c_69361]) ).
tcf(c_73099,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK11(nil,nil))
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ ssList(sK12(sK56,sK11(nil,nil)))
| ~ ssList(app(app(sK12(sK56,sK11(nil,nil)),sK11(nil,nil)),X0)) ),
inference(superposition,[status(thm)],[c_73097,c_67]) ).
tcf(c_73102,plain,
! [X0: $i] :
( memberP(sK11(nil,nil),X0)
| memberP(sK12(sK56,sK11(nil,nil)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK11(nil,nil))
| ~ ssList(sK12(sK56,sK11(nil,nil))) ),
inference(superposition,[status(thm)],[c_73097,c_167]) ).
tcf(c_73103,plain,
( ( sK12(sK56,sK11(nil,nil)) = nil )
| ~ ssList(sK11(nil,nil))
| ~ ssList(sK12(sK56,sK11(nil,nil)))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_73097,c_231]) ).
tcf(c_73105,plain,
( frontsegP(sK56,sK12(sK56,sK11(nil,nil)))
| ~ ssList(sK11(nil,nil))
| ~ ssList(sK12(sK56,sK11(nil,nil))) ),
inference(superposition,[status(thm)],[c_73097,c_386]) ).
tcf(c_73108,plain,
! [X0: $i] :
( ( sK12(sK56,sK11(nil,nil)) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ ssList(sK12(sK56,sK11(nil,nil)))
| ( app(X0,sK11(nil,nil)) != sK56 ) ),
inference(superposition,[status(thm)],[c_73097,c_225]) ).
tcf(c_73109,plain,
! [X0: $i] :
( ( sK11(nil,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ ssList(sK12(sK56,sK11(nil,nil)))
| ( app(sK12(sK56,sK11(nil,nil)),X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_73097,c_226]) ).
tcf(c_73110,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ ssList(sK12(sK56,sK11(nil,nil)))
| ~ frontsegP(sK12(sK56,sK11(nil,nil)),X0) ),
inference(superposition,[status(thm)],[c_73097,c_176]) ).
tcf(c_73111,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(nil,nil))
| ~ ssList(sK12(sK56,sK11(nil,nil)))
| ~ memberP(sK12(sK56,sK11(nil,nil)),X0) ),
inference(superposition,[status(thm)],[c_73097,c_165]) ).
tcf(c_73112,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ segmentP(sK11(nil,nil),X0)
| ~ ssList(sK12(sK56,sK11(nil,nil))) ),
inference(superposition,[status(thm)],[c_73097,c_193]) ).
tcf(c_73114,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(nil,nil))
| ~ memberP(sK11(nil,nil),X0)
| ~ ssList(sK12(sK56,sK11(nil,nil))) ),
inference(superposition,[status(thm)],[c_73097,c_166]) ).
tcf(c_73159,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK11(nil,nil))
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ ssList(app(sK56,X0))
| ~ ssList(sK12(sK56,sK11(nil,nil))) ),
inference(light_normalisation,[status(thm)],[c_73099,c_73097]) ).
tcf(c_73171,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_72649,c_228]) ).
tcf(c_73172,plain,
cons(sK57,cons(sK57,iPr_def_11)) = app(iPr_def_11,cons(sK57,iPr_def_11)),
inference(superposition,[status(thm)],[c_72649,c_16754]) ).
tcf(c_73173,plain,
app(app(sK58,cons(sK57,iPr_def_11)),sK56) = app(sK58,app(cons(sK57,iPr_def_11),sK56)),
inference(superposition,[status(thm)],[c_72649,c_64254]) ).
tcf(c_73174,plain,
app(app(sK59,cons(sK57,iPr_def_11)),sK56) = app(sK59,app(cons(sK57,iPr_def_11),sK56)),
inference(superposition,[status(thm)],[c_72649,c_64253]) ).
tcf(c_73175,plain,
app(app(sK56,cons(sK57,iPr_def_11)),sK56) = app(sK56,app(cons(sK57,iPr_def_11),sK56)),
inference(superposition,[status(thm)],[c_72649,c_64252]) ).
tcf(c_73176,plain,
! [X0: $i] :
( ( app(app(cons(sK57,iPr_def_11),X0),sK56) = app(cons(sK57,iPr_def_11),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_72649,c_23049]) ).
tcf(c_73177,plain,
hd(app(iPr_def_11,cons(sK57,iPr_def_11))) = sK57,
inference(superposition,[status(thm)],[c_72649,c_19361]) ).
tcf(c_73178,plain,
hd(cons(sK60,cons(sK57,iPr_def_11))) = sK60,
inference(superposition,[status(thm)],[c_72649,c_19068]) ).
tcf(c_73179,plain,
tl(cons(sK60,cons(sK57,iPr_def_11))) = cons(sK57,iPr_def_11),
inference(superposition,[status(thm)],[c_72649,c_19067]) ).
tcf(c_73180,plain,
cons(sK57,app(cons(sK57,iPr_def_11),sK58)) = app(cons(sK57,cons(sK57,iPr_def_11)),sK58),
inference(superposition,[status(thm)],[c_72649,c_37537]) ).
tcf(c_73181,plain,
tl(cons(sK7,cons(sK57,iPr_def_11))) = cons(sK57,iPr_def_11),
inference(superposition,[status(thm)],[c_72649,c_14098]) ).
tcf(c_73182,plain,
tl(cons(sK6,cons(sK57,iPr_def_11))) = cons(sK57,iPr_def_11),
inference(superposition,[status(thm)],[c_72649,c_14097]) ).
tcf(c_73183,plain,
cons(sK57,app(cons(sK57,iPr_def_11),sK59)) = app(cons(sK57,cons(sK57,iPr_def_11)),sK59),
inference(superposition,[status(thm)],[c_72649,c_37536]) ).
tcf(c_73184,plain,
hd(cons(sK7,cons(sK57,iPr_def_11))) = sK7,
inference(superposition,[status(thm)],[c_72649,c_13924]) ).
tcf(c_73185,plain,
hd(cons(sK6,cons(sK57,iPr_def_11))) = sK6,
inference(superposition,[status(thm)],[c_72649,c_13923]) ).
tcf(c_73186,plain,
cons(sK57,app(cons(sK57,iPr_def_11),sK56)) = app(cons(sK57,cons(sK57,iPr_def_11)),sK56),
inference(superposition,[status(thm)],[c_72649,c_37535]) ).
tcf(c_73187,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_72649,c_22705]) ).
tcf(c_73188,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,iPr_def_11)) = tl(app(sK58,cons(sK57,iPr_def_11))) ) ),
inference(superposition,[status(thm)],[c_72649,c_21826]) ).
tcf(c_73189,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,iPr_def_11)) = tl(app(sK59,cons(sK57,iPr_def_11))) ) ),
inference(superposition,[status(thm)],[c_72649,c_21825]) ).
tcf(c_73190,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,iPr_def_11)) = tl(app(sK56,cons(sK57,iPr_def_11))) ) ),
inference(superposition,[status(thm)],[c_72649,c_21824]) ).
tcf(c_73191,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_72649,c_124]) ).
tcf(c_73192,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_72649,c_116]) ).
tcf(c_73193,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_72649,c_108]) ).
tcf(c_73194,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,iPr_def_11))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_72649,c_19350]) ).
tcf(c_73195,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_72649,c_234]) ).
tcf(c_73196,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,iPr_def_11))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_72649,c_19349]) ).
tcf(c_73197,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,iPr_def_11))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_72649,c_19348]) ).
tcf(c_73198,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_72649,c_132]) ).
tcf(c_73199,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_72649,c_233]) ).
tcf(c_73200,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_72649,c_224]) ).
tcf(c_73201,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_72649,c_147]) ).
tcf(c_73202,plain,
tl(cons(sK57,cons(sK57,iPr_def_11))) = cons(sK57,iPr_def_11),
inference(superposition,[status(thm)],[c_72649,c_14117]) ).
tcf(c_73203,plain,
hd(cons(sK57,cons(sK57,iPr_def_11))) = sK57,
inference(superposition,[status(thm)],[c_72649,c_13943]) ).
tcf(c_73204,plain,
( ( cons(sK57,iPr_def_11) = nil )
| ( tl(cons(sK57,iPr_def_11)) = sK52(cons(sK57,iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_72649,c_222]) ).
tcf(c_73205,plain,
( ( cons(sK57,iPr_def_11) = nil )
| ( hd(cons(sK57,iPr_def_11)) = sK51(cons(sK57,iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_72649,c_220]) ).
tcf(c_73206,plain,
( duplicatefreeP(cons(sK57,iPr_def_11))
| ( sK40(cons(sK57,iPr_def_11)) = sK41(cons(sK57,iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_72649,c_123]) ).
tcf(c_73207,plain,
app(cons(sK57,iPr_def_11),nil) = cons(sK57,iPr_def_11),
inference(superposition,[status(thm)],[c_72649,c_232]) ).
tcf(c_73208,plain,
app(nil,cons(sK57,iPr_def_11)) = cons(sK57,iPr_def_11),
inference(superposition,[status(thm)],[c_72649,c_155]) ).
tcf(c_73217,plain,
( ( cons(sK57,iPr_def_11) = nil )
| ( sK51(cons(sK57,iPr_def_11)) = sK57 ) ),
inference(light_normalisation,[status(thm)],[c_73205,c_14792]) ).
tcf(c_73220,plain,
( ( cons(sK57,iPr_def_11) = nil )
| ( sK52(cons(sK57,iPr_def_11)) = iPr_def_11 ) ),
inference(light_normalisation,[status(thm)],[c_73204,c_14964]) ).
tcf(c_73223,plain,
cons(sK57,cons(sK57,cons(sK57,sK56))) = app(cons(sK57,cons(sK57,iPr_def_11)),sK56),
inference(light_normalisation,[status(thm)],[c_73186,c_38045,c_38052]) ).
tcf(c_73224,plain,
cons(sK57,cons(sK57,cons(sK57,sK59))) = app(cons(sK57,cons(sK57,iPr_def_11)),sK59),
inference(light_normalisation,[status(thm)],[c_73183,c_41656,c_41668]) ).
tcf(c_73225,plain,
cons(sK57,cons(sK57,cons(sK57,sK58))) = app(cons(sK57,cons(sK57,iPr_def_11)),sK58),
inference(light_normalisation,[status(thm)],[c_73180,c_45249,c_45264]) ).
tcf(c_73226,plain,
app(app(sK56,cons(sK57,iPr_def_11)),sK56) = app(sK56,cons(sK57,cons(sK57,sK56))),
inference(light_normalisation,[status(thm)],[c_73175,c_38045,c_38052]) ).
tcf(c_73227,plain,
app(app(sK59,cons(sK57,iPr_def_11)),sK56) = app(sK59,cons(sK57,cons(sK57,sK56))),
inference(light_normalisation,[status(thm)],[c_73174,c_38045,c_38052]) ).
tcf(c_73228,plain,
app(app(sK58,cons(sK57,iPr_def_11)),sK56) = app(sK58,cons(sK57,cons(sK57,sK56))),
inference(light_normalisation,[status(thm)],[c_73173,c_38045,c_38052]) ).
tcf(c_73242,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_73199,c_14792]) ).
tcf(c_73249,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_73195,c_14964]) ).
tcf(c_73334,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_72650,c_183]) ).
tcf(c_73335,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_72650,c_184]) ).
tcf(c_73336,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_72650,c_66]) ).
tcf(c_73337,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_73336,c_12859,c_72649]) ).
tcf(c_73338,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_73335,c_12859,c_72649]) ).
tcf(c_73342,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_72651,c_173]) ).
tcf(c_73343,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_72651,c_174]) ).
tcf(c_73344,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_72651,c_63]) ).
tcf(c_73346,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_73344,c_12859,c_72649]) ).
tcf(c_73347,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_73343,c_12859,c_72649]) ).
tcf(c_73351,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_70807,c_67]) ).
tcf(c_73354,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_70807,c_167]) ).
tcf(c_73356,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ( cons(sK57,iPr_def_10) != nil ) ),
inference(superposition,[status(thm)],[c_70807,c_230]) ).
tcf(c_73357,plain,
( frontsegP(cons(sK57,iPr_def_10),iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_70807,c_386]) ).
tcf(c_73358,plain,
( rearsegP(cons(sK57,iPr_def_10),iPr_def_10)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_70807,c_383]) ).
tcf(c_73360,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_70807,c_225]) ).
tcf(c_73361,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_70807,c_226]) ).
tcf(c_73362,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_70807,c_176]) ).
tcf(c_73363,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_70807,c_165]) ).
tcf(c_73364,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_70807,c_193]) ).
tcf(c_73365,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_70807,c_186]) ).
tcf(c_73366,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_70807,c_166]) ).
tcf(c_73367,plain,
( ( sK58 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( cons(sK57,sK58) != cons(sK57,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_70807,c_45965]) ).
tcf(c_73368,plain,
( ( sK59 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( cons(sK57,sK59) != cons(sK57,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_70807,c_42703]) ).
tcf(c_73369,plain,
( ( sK56 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( cons(sK57,sK56) != cons(sK57,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_70807,c_38998]) ).
tcf(c_73370,plain,
rearsegP(cons(sK57,iPr_def_10),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_73358,c_12859,c_18402]) ).
tcf(c_73371,plain,
frontsegP(cons(sK57,iPr_def_10),iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_73357,c_12859,c_18402]) ).
tcf(c_73372,plain,
( ( sK56 = iPr_def_10 )
| ( cons(sK57,sK56) != cons(sK57,iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73369,c_18402]) ).
tcf(c_73375,plain,
cons(sK57,sK59) != cons(sK57,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_73368,c_26063,c_18402]) ).
tcf(c_73376,plain,
( ( sK58 = iPr_def_10 )
| ( cons(sK57,sK58) != cons(sK57,iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73367,c_18402]) ).
tcf(c_73379,plain,
cons(sK57,iPr_def_10) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_73356,c_18417,c_12859,c_18402]) ).
tcf(c_73380,plain,
! [X0: $i] :
( memberP(cons(sK57,iPr_def_10),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73366,c_12859,c_18402]) ).
tcf(c_73384,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73365,c_12859,c_18402]) ).
tcf(c_73388,plain,
! [X0: $i] :
( memberP(cons(sK57,iPr_def_10),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73363,c_12859,c_18402]) ).
tcf(c_73392,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73362,c_12859,c_18402]) ).
tcf(c_73396,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_73354,c_12859,c_18402]) ).
tcf(c_73401,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_73361,c_12859,c_18402]) ).
tcf(c_73405,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_73360,c_12859,c_18402]) ).
tcf(c_73409,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_73364,c_12859,c_18402]) ).
tcf(c_73414,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_73351,c_70807]) ).
tcf(c_73415,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_73414,c_12859,c_18402]) ).
tcf(c_73426,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_73370,c_183]) ).
tcf(c_73427,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_73370,c_184]) ).
tcf(c_73428,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_73370,c_66]) ).
tcf(c_73429,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_73428,c_18402,c_61331]) ).
tcf(c_73430,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_73427,c_18402,c_61331]) ).
tcf(c_73434,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_73371,c_173]) ).
tcf(c_73435,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_73371,c_174]) ).
tcf(c_73436,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_73371,c_63]) ).
tcf(c_73438,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_73436,c_12859,c_61331]) ).
tcf(c_73439,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_73435,c_12859,c_61331]) ).
tcf(c_73494,plain,
( ( sK11(nil,nil) = sK56 )
| ~ rearsegP(sK11(nil,nil),sK56) ),
inference(global_subsumption_just,[status(thm)],[c_69364,c_141,c_181,c_330,c_69364]) ).
tcf(c_73500,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(X0)
| ~ rearsegP(sK11(nil,nil),X0) ),
inference(global_subsumption_just,[status(thm)],[c_69368,c_141,c_181,c_330,c_69368]) ).
tcf(c_73510,plain,
app(sK12(sK59,sK11(nil,nil)),sK11(nil,nil)) = sK59,
inference(global_subsumption_just,[status(thm)],[c_69379,c_141,c_181,c_330,c_69379]) ).
tcf(c_73512,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK11(nil,nil))
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ ssList(sK12(sK59,sK11(nil,nil)))
| ~ ssList(app(app(sK12(sK59,sK11(nil,nil)),sK11(nil,nil)),X0)) ),
inference(superposition,[status(thm)],[c_73510,c_67]) ).
tcf(c_73515,plain,
! [X0: $i] :
( memberP(sK11(nil,nil),X0)
| memberP(sK12(sK59,sK11(nil,nil)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK11(nil,nil))
| ~ ssList(sK12(sK59,sK11(nil,nil))) ),
inference(superposition,[status(thm)],[c_73510,c_167]) ).
tcf(c_73516,plain,
( ( sK12(sK59,sK11(nil,nil)) = nil )
| ~ ssList(sK11(nil,nil))
| ~ ssList(sK12(sK59,sK11(nil,nil)))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_73510,c_231]) ).
tcf(c_73518,plain,
( frontsegP(sK59,sK12(sK59,sK11(nil,nil)))
| ~ ssList(sK11(nil,nil))
| ~ ssList(sK12(sK59,sK11(nil,nil))) ),
inference(superposition,[status(thm)],[c_73510,c_386]) ).
tcf(c_73521,plain,
! [X0: $i] :
( ( sK12(sK59,sK11(nil,nil)) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ ssList(sK12(sK59,sK11(nil,nil)))
| ( app(X0,sK11(nil,nil)) != sK59 ) ),
inference(superposition,[status(thm)],[c_73510,c_225]) ).
tcf(c_73522,plain,
! [X0: $i] :
( ( sK11(nil,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ ssList(sK12(sK59,sK11(nil,nil)))
| ( app(sK12(sK59,sK11(nil,nil)),X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_73510,c_226]) ).
tcf(c_73523,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ ssList(sK12(sK59,sK11(nil,nil)))
| ~ frontsegP(sK12(sK59,sK11(nil,nil)),X0) ),
inference(superposition,[status(thm)],[c_73510,c_176]) ).
tcf(c_73524,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(nil,nil))
| ~ ssList(sK12(sK59,sK11(nil,nil)))
| ~ memberP(sK12(sK59,sK11(nil,nil)),X0) ),
inference(superposition,[status(thm)],[c_73510,c_165]) ).
tcf(c_73525,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ segmentP(sK11(nil,nil),X0)
| ~ ssList(sK12(sK59,sK11(nil,nil))) ),
inference(superposition,[status(thm)],[c_73510,c_193]) ).
tcf(c_73527,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(nil,nil))
| ~ memberP(sK11(nil,nil),X0)
| ~ ssList(sK12(sK59,sK11(nil,nil))) ),
inference(superposition,[status(thm)],[c_73510,c_166]) ).
tcf(c_73572,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK11(nil,nil))
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ ssList(app(sK59,X0))
| ~ ssList(sK12(sK59,sK11(nil,nil))) ),
inference(light_normalisation,[status(thm)],[c_73512,c_73510]) ).
tcf(c_73629,plain,
( ( sK11(nil,nil) = sK59 )
| ~ rearsegP(sK11(nil,nil),sK59) ),
inference(global_subsumption_just,[status(thm)],[c_69382,c_141,c_181,c_330,c_69382]) ).
tcf(c_73635,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(X0)
| ~ rearsegP(sK11(nil,nil),X0) ),
inference(global_subsumption_just,[status(thm)],[c_69386,c_141,c_181,c_330,c_69386]) ).
tcf(c_73645,plain,
app(sK12(sK58,sK11(nil,nil)),sK11(nil,nil)) = sK58,
inference(global_subsumption_just,[status(thm)],[c_69416,c_141,c_181,c_330,c_69416]) ).
tcf(c_73647,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK11(nil,nil))
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ ssList(sK12(sK58,sK11(nil,nil)))
| ~ ssList(app(app(sK12(sK58,sK11(nil,nil)),sK11(nil,nil)),X0)) ),
inference(superposition,[status(thm)],[c_73645,c_67]) ).
tcf(c_73650,plain,
! [X0: $i] :
( memberP(sK11(nil,nil),X0)
| memberP(sK12(sK58,sK11(nil,nil)),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK11(nil,nil))
| ~ ssList(sK12(sK58,sK11(nil,nil))) ),
inference(superposition,[status(thm)],[c_73645,c_167]) ).
tcf(c_73651,plain,
( ( sK12(sK58,sK11(nil,nil)) = nil )
| ~ ssList(sK11(nil,nil))
| ~ ssList(sK12(sK58,sK11(nil,nil)))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_73645,c_231]) ).
tcf(c_73653,plain,
( frontsegP(sK58,sK12(sK58,sK11(nil,nil)))
| ~ ssList(sK11(nil,nil))
| ~ ssList(sK12(sK58,sK11(nil,nil))) ),
inference(superposition,[status(thm)],[c_73645,c_386]) ).
tcf(c_73656,plain,
! [X0: $i] :
( ( sK12(sK58,sK11(nil,nil)) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ ssList(sK12(sK58,sK11(nil,nil)))
| ( app(X0,sK11(nil,nil)) != sK58 ) ),
inference(superposition,[status(thm)],[c_73645,c_225]) ).
tcf(c_73657,plain,
! [X0: $i] :
( ( sK11(nil,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ ssList(sK12(sK58,sK11(nil,nil)))
| ( app(sK12(sK58,sK11(nil,nil)),X0) != sK58 ) ),
inference(superposition,[status(thm)],[c_73645,c_226]) ).
tcf(c_73658,plain,
! [X0: $i] :
( frontsegP(sK58,X0)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ ssList(sK12(sK58,sK11(nil,nil)))
| ~ frontsegP(sK12(sK58,sK11(nil,nil)),X0) ),
inference(superposition,[status(thm)],[c_73645,c_176]) ).
tcf(c_73659,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(nil,nil))
| ~ ssList(sK12(sK58,sK11(nil,nil)))
| ~ memberP(sK12(sK58,sK11(nil,nil)),X0) ),
inference(superposition,[status(thm)],[c_73645,c_165]) ).
tcf(c_73660,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK58,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ segmentP(sK11(nil,nil),X0)
| ~ ssList(sK12(sK58,sK11(nil,nil))) ),
inference(superposition,[status(thm)],[c_73645,c_193]) ).
tcf(c_73662,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(nil,nil))
| ~ memberP(sK11(nil,nil),X0)
| ~ ssList(sK12(sK58,sK11(nil,nil))) ),
inference(superposition,[status(thm)],[c_73645,c_166]) ).
tcf(c_73707,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK11(nil,nil))
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ ssList(app(sK58,X0))
| ~ ssList(sK12(sK58,sK11(nil,nil))) ),
inference(light_normalisation,[status(thm)],[c_73647,c_73645]) ).
tcf(c_73719,plain,
( ( sK11(nil,nil) = sK58 )
| ~ rearsegP(sK11(nil,nil),sK58) ),
inference(global_subsumption_just,[status(thm)],[c_69419,c_141,c_181,c_330,c_69419]) ).
tcf(c_73725,plain,
! [X0: $i] :
( rearsegP(sK58,X0)
| ~ ssList(X0)
| ~ rearsegP(sK11(nil,nil),X0) ),
inference(global_subsumption_just,[status(thm)],[c_69423,c_141,c_181,c_330,c_69423]) ).
tcf(c_73739,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_20179,c_130]) ).
tcf(c_73740,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_20179,c_122]) ).
tcf(c_73741,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_20179,c_114]) ).
tcf(c_73742,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_20179,c_130]) ).
tcf(c_73746,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_20179,c_54]) ).
tcf(c_73747,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_20179,c_122]) ).
tcf(c_73748,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_20179,c_114]) ).
tcf(c_73752,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_20179,c_137]) ).
tcf(c_73755,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_20179,c_178]) ).
tcf(c_73756,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_20179,c_179]) ).
tcf(c_73757,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_20179,c_28016]) ).
tcf(c_73758,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_20179,c_27918]) ).
tcf(c_73759,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_20179,c_27763]) ).
tcf(c_73760,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_20179,c_27753]) ).
tcf(c_73761,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_20179,c_26831]) ).
tcf(c_73762,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_20179,c_144]) ).
tcf(c_73763,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_20179,c_143]) ).
tcf(c_73764,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_20179,c_178]) ).
tcf(c_73765,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_20179,c_179]) ).
tcf(c_73766,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_20179,c_170]) ).
tcf(c_73767,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_20179,c_214]) ).
tcf(c_73768,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_20179,c_208]) ).
tcf(c_73769,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_20179,c_213]) ).
tcf(c_73770,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_20179,c_207]) ).
tcf(c_73772,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_20179,c_142]) ).
tcf(c_73773,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_20179,c_168]) ).
tcf(c_73775,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_20179,c_177]) ).
tcf(c_73776,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_20179,c_169]) ).
tcf(c_73777,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_20179,c_177]) ).
tcf(c_74266,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_71450,c_122]) ).
tcf(c_74267,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_71450,c_114]) ).
tcf(c_74268,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_71450,c_130]) ).
tcf(c_74272,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_71450,c_54]) ).
tcf(c_74273,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_71450,c_67]) ).
tcf(c_74279,plain,
( frontsegP(cons(sK57,iPr_def_12),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_71450,c_386]) ).
tcf(c_74280,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_71450,c_383]) ).
tcf(c_74282,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_71450,c_225]) ).
tcf(c_74286,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_71450,c_226]) ).
tcf(c_74287,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_71450,c_176]) ).
tcf(c_74289,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_71450,c_193]) ).
tcf(c_74292,plain,
frontsegP(cons(sK57,iPr_def_12),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_74279,c_141,c_71102]) ).
tcf(c_74293,plain,
rearsegP(cons(sK57,iPr_def_12),cons(sK57,iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_74280,c_141,c_71102]) ).
tcf(c_74294,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_12),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74287,c_141,c_71102]) ).
tcf(c_74298,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_74272,c_71450]) ).
tcf(c_74299,plain,
memberP(cons(sK57,iPr_def_12),sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_74298,c_12995,c_141,c_8999,c_71102]) ).
tcf(c_74300,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_74286,c_141,c_71102]) ).
tcf(c_74304,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_74282,c_141,c_71102]) ).
tcf(c_74308,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_74289,c_141,c_71102]) ).
tcf(c_74313,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_74273,c_71450]) ).
tcf(c_74314,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_74313,c_141,c_71102]) ).
tcf(c_74336,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_74268,c_71450]) ).
tcf(c_74337,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_74336,c_12995,c_141,c_8999]) ).
tcf(c_74341,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_74267,c_71450]) ).
tcf(c_74342,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_74341,c_12995,c_141,c_8999]) ).
tcf(c_74348,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_74266,c_71450]) ).
tcf(c_74349,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_74348,c_12995,c_141,c_8999]) ).
tcf(c_74468,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_74292,c_174]) ).
tcf(c_74469,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_74292,c_63]) ).
tcf(c_74470,plain,
app(nil,sK11(cons(sK57,iPr_def_12),nil)) = cons(sK57,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_74469,c_141,c_71102]) ).
tcf(c_74471,plain,
~ frontsegP(nil,cons(sK57,iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_74468,c_71112,c_141,c_71102]) ).
tcf(c_74472,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_74299,c_57]) ).
tcf(c_74473,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_74299,c_12668]) ).
tcf(c_74475,plain,
app(nil,sK8(cons(sK57,iPr_def_12),sK57)) = sK8(cons(sK57,iPr_def_12),sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_74473,c_8999,c_71102]) ).
tcf(c_74476,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_74472,c_8999,c_71102]) ).
tcf(c_74479,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_74293,c_66]) ).
tcf(c_74480,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_74479,c_71102]) ).
tcf(c_74484,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_71420,c_223]) ).
tcf(c_74485,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_71420,c_212]) ).
tcf(c_74486,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_71420,c_206]) ).
tcf(c_74499,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_74484,c_71421]) ).
tcf(c_74509,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_74475,c_67]) ).
tcf(c_74515,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_74475,c_386]) ).
tcf(c_74516,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_74475,c_383]) ).
tcf(c_74518,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_74475,c_225]) ).
tcf(c_74522,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_74475,c_226]) ).
tcf(c_74523,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_74475,c_176]) ).
tcf(c_74525,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_74475,c_193]) ).
tcf(c_74528,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_74515,c_141]) ).
tcf(c_74531,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_74516,c_141]) ).
tcf(c_74534,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_74523,c_141]) ).
tcf(c_74539,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_74522,c_141]) ).
tcf(c_74544,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_74518,c_141]) ).
tcf(c_74549,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_74525,c_141]) ).
tcf(c_74555,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_74509,c_74475]) ).
tcf(c_74556,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_74555,c_141]) ).
tcf(c_74570,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_23050]) ).
tcf(c_74571,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_23050]) ).
tcf(c_74572,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_23050]) ).
tcf(c_74573,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_23050]) ).
tcf(c_74574,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_23050]) ).
tcf(c_74575,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_23050]) ).
tcf(c_74576,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_23050]) ).
tcf(c_74586,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_23050]) ).
tcf(c_74587,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_23050]) ).
tcf(c_74588,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_23050]) ).
tcf(c_74589,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_23050]) ).
tcf(c_74590,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_23050]) ).
tcf(c_74591,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_23050]) ).
tcf(c_74592,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_23050]) ).
tcf(c_74593,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_23050]) ).
tcf(c_74594,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_23050]) ).
tcf(c_74595,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_23050]) ).
tcf(c_74596,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_23050]) ).
tcf(c_74597,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_23050]) ).
tcf(c_74598,plain,
! [X0: $i] :
( ( app(app(nil,X0),sK59) = app(nil,app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_141,c_23050]) ).
tcf(c_74599,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_23050]) ).
tcf(c_74600,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_23050]) ).
tcf(c_74601,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_23050]) ).
tcf(c_74602,plain,
! [X0: $i] :
( ( app(app(sK56,X0),sK59) = app(sK56,app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9004,c_23050]) ).
tcf(c_74603,plain,
! [X0: $i] :
( ( app(app(sK59,X0),sK59) = app(sK59,app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9003,c_23050]) ).
tcf(c_74604,plain,
! [X0: $i] :
( ( app(app(sK58,X0),sK59) = app(sK58,app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9000,c_23050]) ).
tcf(c_74605,plain,
! [X0: $i] :
( ( app(app(iPr_def_12,X0),sK59) = app(iPr_def_12,app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12995,c_23050]) ).
tcf(c_74606,plain,
! [X0: $i] :
( ( app(app(iPr_def_11,X0),sK59) = app(iPr_def_11,app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12859,c_23050]) ).
tcf(c_74607,plain,
! [X0: $i] :
( ( app(app(iPr_def_10,X0),sK59) = app(iPr_def_10,app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_18402,c_23050]) ).
tcf(c_74608,plain,
! [X0: $i] :
( ( app(app(cons(sK57,sK56),X0),sK59) = app(cons(sK57,sK56),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_38969,c_23050]) ).
tcf(c_74609,plain,
! [X0: $i] :
( ( app(app(cons(sK57,sK59),X0),sK59) = app(cons(sK57,sK59),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_42671,c_23050]) ).
tcf(c_74610,plain,
! [X0: $i] :
( ( app(app(cons(sK57,sK58),X0),sK59) = app(cons(sK57,sK58),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45936,c_23050]) ).
tcf(c_74611,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( app(app(tl(sK56),X0),sK59) = app(tl(sK56),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15456,c_23050]) ).
tcf(c_74612,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( app(app(tl(sK59),X0),sK59) = app(tl(sK59),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15493,c_23050]) ).
tcf(c_74613,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( app(app(tl(sK58),X0),sK59) = app(tl(sK58),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15877,c_23050]) ).
tcf(c_74614,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_19130,c_23050]) ).
tcf(c_74615,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_71102,c_23050]) ).
tcf(c_74616,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_72649,c_23050]) ).
tcf(c_74617,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_61331,c_23050]) ).
tcf(c_74618,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_39016,c_23050]) ).
tcf(c_74619,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_42723,c_23050]) ).
tcf(c_74620,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_45988,c_23050]) ).
tcf(c_74621,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_41916,c_23050]) ).
tcf(c_74622,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_43373,c_23050]) ).
tcf(c_74623,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_45985,c_23050]) ).
tcf(c_74624,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_45632,c_23050]) ).
tcf(c_74625,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_46645,c_23050]) ).
tcf(c_74626,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_47111,c_23050]) ).
tcf(c_74627,plain,
! [X0: $i] :
( ( app(app(app(sK56,app(sK56,sK56)),X0),sK59) = app(app(sK56,app(sK56,sK56)),app(X0,sK59)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_23050]) ).
tcf(c_74628,plain,
! [X0: $i] :
( ( app(app(app(sK56,app(sK59,sK56)),X0),sK59) = app(app(sK56,app(sK59,sK56)),app(X0,sK59)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_23050]) ).
tcf(c_74629,plain,
! [X0: $i] :
( ( app(app(app(sK56,app(sK58,sK56)),X0),sK59) = app(app(sK56,app(sK58,sK56)),app(X0,sK59)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_23050]) ).
tcf(c_74630,plain,
! [X0: $i] :
( ( app(app(app(sK59,app(sK56,sK56)),X0),sK59) = app(app(sK59,app(sK56,sK56)),app(X0,sK59)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_23050]) ).
tcf(c_74631,plain,
! [X0: $i] :
( ( app(app(app(sK59,app(sK59,sK56)),X0),sK59) = app(app(sK59,app(sK59,sK56)),app(X0,sK59)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_23050]) ).
tcf(c_74632,plain,
! [X0: $i] :
( ( app(app(app(sK59,app(sK58,sK56)),X0),sK59) = app(app(sK59,app(sK58,sK56)),app(X0,sK59)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_23050]) ).
tcf(c_74633,plain,
! [X0: $i] :
( ( app(app(app(sK58,app(sK56,sK56)),X0),sK59) = app(app(sK58,app(sK56,sK56)),app(X0,sK59)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_23050]) ).
tcf(c_74634,plain,
! [X0: $i] :
( ( app(app(app(sK58,app(sK59,sK56)),X0),sK59) = app(app(sK58,app(sK59,sK56)),app(X0,sK59)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_23050]) ).
tcf(c_74635,plain,
! [X0: $i] :
( ( app(app(app(sK58,app(sK58,sK56)),X0),sK59) = app(app(sK58,app(sK58,sK56)),app(X0,sK59)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_23050]) ).
tcf(c_75004,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_74602]) ).
tcf(c_75005,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_74602]) ).
tcf(c_75006,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_74602]) ).
tcf(c_75007,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_74602]) ).
tcf(c_75008,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_74602]) ).
tcf(c_75009,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_74602]) ).
tcf(c_75010,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_74602]) ).
tcf(c_75020,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_74602]) ).
tcf(c_75021,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_74602]) ).
tcf(c_75022,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_74602]) ).
tcf(c_75023,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_74602]) ).
tcf(c_75024,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_74602]) ).
tcf(c_75025,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_74602]) ).
tcf(c_75026,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_74602]) ).
tcf(c_75027,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_74602]) ).
tcf(c_75028,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_74602]) ).
tcf(c_75029,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_74602]) ).
tcf(c_75030,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_74602]) ).
tcf(c_75031,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_74602]) ).
tcf(c_75032,plain,
app(app(sK56,nil),sK59) = app(sK56,app(nil,sK59)),
inference(superposition,[status(thm)],[c_141,c_74602]) ).
tcf(c_75033,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_74602]) ).
tcf(c_75034,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_74602]) ).
tcf(c_75035,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_74602]) ).
tcf(c_75036,plain,
app(app(sK56,sK56),sK59) = app(sK56,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_9004,c_74602]) ).
tcf(c_75037,plain,
app(app(sK56,sK59),sK59) = app(sK56,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_9003,c_74602]) ).
tcf(c_75038,plain,
app(app(sK56,sK58),sK59) = app(sK56,app(sK58,sK59)),
inference(superposition,[status(thm)],[c_9000,c_74602]) ).
tcf(c_75039,plain,
app(app(sK56,iPr_def_12),sK59) = app(sK56,app(iPr_def_12,sK59)),
inference(superposition,[status(thm)],[c_12995,c_74602]) ).
tcf(c_75040,plain,
app(app(sK56,iPr_def_11),sK59) = app(sK56,app(iPr_def_11,sK59)),
inference(superposition,[status(thm)],[c_12859,c_74602]) ).
tcf(c_75041,plain,
app(app(sK56,iPr_def_10),sK59) = app(sK56,app(iPr_def_10,sK59)),
inference(superposition,[status(thm)],[c_18402,c_74602]) ).
tcf(c_75042,plain,
app(app(sK56,cons(sK57,sK56)),sK59) = app(sK56,app(cons(sK57,sK56),sK59)),
inference(superposition,[status(thm)],[c_38969,c_74602]) ).
tcf(c_75043,plain,
app(app(sK56,cons(sK57,sK59)),sK59) = app(sK56,app(cons(sK57,sK59),sK59)),
inference(superposition,[status(thm)],[c_42671,c_74602]) ).
tcf(c_75044,plain,
app(app(sK56,cons(sK57,sK58)),sK59) = app(sK56,app(cons(sK57,sK58),sK59)),
inference(superposition,[status(thm)],[c_45936,c_74602]) ).
tcf(c_75045,plain,
( ( nil = sK56 )
| ( app(app(sK56,tl(sK56)),sK59) = app(sK56,app(tl(sK56),sK59)) ) ),
inference(superposition,[status(thm)],[c_15456,c_74602]) ).
tcf(c_75046,plain,
( ( nil = sK59 )
| ( app(app(sK56,tl(sK59)),sK59) = app(sK56,app(tl(sK59),sK59)) ) ),
inference(superposition,[status(thm)],[c_15493,c_74602]) ).
tcf(c_75047,plain,
( ( nil = sK58 )
| ( app(app(sK56,tl(sK58)),sK59) = app(sK56,app(tl(sK58),sK59)) ) ),
inference(superposition,[status(thm)],[c_15877,c_74602]) ).
tcf(c_75048,plain,
app(app(sK56,tl(iPr_def_12)),sK59) = app(sK56,app(tl(iPr_def_12),sK59)),
inference(superposition,[status(thm)],[c_19130,c_74602]) ).
tcf(c_75049,plain,
app(app(sK56,cons(sK57,iPr_def_12)),sK59) = app(sK56,app(cons(sK57,iPr_def_12),sK59)),
inference(superposition,[status(thm)],[c_71102,c_74602]) ).
tcf(c_75050,plain,
app(app(sK56,cons(sK57,iPr_def_11)),sK59) = app(sK56,app(cons(sK57,iPr_def_11),sK59)),
inference(superposition,[status(thm)],[c_72649,c_74602]) ).
tcf(c_75051,plain,
app(app(sK56,cons(sK57,iPr_def_10)),sK59) = app(sK56,app(cons(sK57,iPr_def_10),sK59)),
inference(superposition,[status(thm)],[c_61331,c_74602]) ).
tcf(c_75052,plain,
app(app(sK56,cons(sK57,app(sK56,sK56))),sK59) = app(sK56,app(cons(sK57,app(sK56,sK56)),sK59)),
inference(superposition,[status(thm)],[c_39016,c_74602]) ).
tcf(c_75053,plain,
app(app(sK56,cons(sK57,app(sK59,sK56))),sK59) = app(sK56,app(cons(sK57,app(sK59,sK56)),sK59)),
inference(superposition,[status(thm)],[c_42723,c_74602]) ).
tcf(c_75054,plain,
app(app(sK56,cons(sK57,app(sK58,sK56))),sK59) = app(sK56,app(cons(sK57,app(sK58,sK56)),sK59)),
inference(superposition,[status(thm)],[c_45988,c_74602]) ).
tcf(c_75055,plain,
app(app(sK56,cons(sK57,app(sK56,sK59))),sK59) = app(sK56,app(cons(sK57,app(sK56,sK59)),sK59)),
inference(superposition,[status(thm)],[c_41916,c_74602]) ).
tcf(c_75056,plain,
app(app(sK56,cons(sK57,app(sK59,sK59))),sK59) = app(sK56,app(cons(sK57,app(sK59,sK59)),sK59)),
inference(superposition,[status(thm)],[c_43373,c_74602]) ).
tcf(c_75057,plain,
app(app(sK56,cons(sK57,app(sK58,sK59))),sK59) = app(sK56,app(cons(sK57,app(sK58,sK59)),sK59)),
inference(superposition,[status(thm)],[c_45985,c_74602]) ).
tcf(c_75058,plain,
app(app(sK56,cons(sK57,app(sK56,sK58))),sK59) = app(sK56,app(cons(sK57,app(sK56,sK58)),sK59)),
inference(superposition,[status(thm)],[c_45632,c_74602]) ).
tcf(c_75059,plain,
app(app(sK56,cons(sK57,app(sK59,sK58))),sK59) = app(sK56,app(cons(sK57,app(sK59,sK58)),sK59)),
inference(superposition,[status(thm)],[c_46645,c_74602]) ).
tcf(c_75060,plain,
app(app(sK56,cons(sK57,app(sK58,sK58))),sK59) = app(sK56,app(cons(sK57,app(sK58,sK58)),sK59)),
inference(superposition,[status(thm)],[c_47111,c_74602]) ).
tcf(c_75061,plain,
( ( app(app(sK56,app(sK56,app(sK56,sK56))),sK59) = app(sK56,app(app(sK56,app(sK56,sK56)),sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_74602]) ).
tcf(c_75062,plain,
( ( app(app(sK56,app(sK56,app(sK59,sK56))),sK59) = app(sK56,app(app(sK56,app(sK59,sK56)),sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_74602]) ).
tcf(c_75063,plain,
( ( app(app(sK56,app(sK56,app(sK58,sK56))),sK59) = app(sK56,app(app(sK56,app(sK58,sK56)),sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_74602]) ).
tcf(c_75064,plain,
( ( app(app(sK56,app(sK59,app(sK56,sK56))),sK59) = app(sK56,app(app(sK59,app(sK56,sK56)),sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_74602]) ).
tcf(c_75065,plain,
( ( app(app(sK56,app(sK59,app(sK59,sK56))),sK59) = app(sK56,app(app(sK59,app(sK59,sK56)),sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_74602]) ).
tcf(c_75066,plain,
( ( app(app(sK56,app(sK59,app(sK58,sK56))),sK59) = app(sK56,app(app(sK59,app(sK58,sK56)),sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_74602]) ).
tcf(c_75067,plain,
( ( app(app(sK56,app(sK58,app(sK56,sK56))),sK59) = app(sK56,app(app(sK58,app(sK56,sK56)),sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_74602]) ).
tcf(c_75068,plain,
( ( app(app(sK56,app(sK58,app(sK59,sK56))),sK59) = app(sK56,app(app(sK58,app(sK59,sK56)),sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_74602]) ).
tcf(c_75069,plain,
( ( app(app(sK56,app(sK58,app(sK58,sK56))),sK59) = app(sK56,app(app(sK58,app(sK58,sK56)),sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_74602]) ).
tcf(c_75070,plain,
app(app(sK56,iPr_def_11),sK59) = app(sK56,cons(sK57,sK59)),
inference(light_normalisation,[status(thm)],[c_75040,c_41668]) ).
tcf(c_75071,plain,
app(app(sK56,iPr_def_12),sK59) = app(sK56,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_75039,c_18427]) ).
tcf(c_75073,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_75051,c_41657]) ).
tcf(c_75074,plain,
app(app(sK56,cons(sK57,iPr_def_11)),sK59) = app(sK56,cons(sK57,cons(sK57,sK59))),
inference(light_normalisation,[status(thm)],[c_75050,c_41656,c_41668]) ).
tcf(c_75075,plain,
app(app(sK56,cons(sK57,iPr_def_12)),sK59) = app(sK56,cons(sK57,iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_75049,c_41667]) ).
tcf(c_75076,plain,
app(app(sK56,cons(sK57,sK58)),sK59) = app(sK56,cons(sK57,app(sK58,sK59))),
inference(light_normalisation,[status(thm)],[c_75044,c_41654]) ).
tcf(c_75077,plain,
app(app(sK56,cons(sK57,sK59)),sK59) = app(sK56,cons(sK57,app(sK59,sK59))),
inference(light_normalisation,[status(thm)],[c_75043,c_41653]) ).
tcf(c_75078,plain,
app(app(sK56,cons(sK57,sK56)),sK59) = app(sK56,cons(sK57,app(sK56,sK59))),
inference(light_normalisation,[status(thm)],[c_75042,c_41652]) ).
tcf(c_75379,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_75036,c_67]) ).
tcf(c_75382,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_75036,c_167]) ).
tcf(c_75383,plain,
( ( app(sK56,sK56) = nil )
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_75036,c_231]) ).
tcf(c_75384,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_75036,c_230]) ).
tcf(c_75385,plain,
( frontsegP(app(sK56,app(sK56,sK59)),app(sK56,sK56))
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_75036,c_386]) ).
tcf(c_75386,plain,
( rearsegP(app(sK56,app(sK56,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_75036,c_383]) ).
tcf(c_75387,plain,
( ssList(app(sK56,app(sK56,sK59)))
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_75036,c_153]) ).
tcf(c_75388,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_75036,c_225]) ).
tcf(c_75389,plain,
( segmentP(app(sK56,app(sK56,sK59)),sK56)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(app(app(sK56,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_75036,c_67]) ).
tcf(c_75390,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_75036,c_226]) ).
tcf(c_75391,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_75036,c_176]) ).
tcf(c_75392,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_75036,c_165]) ).
tcf(c_75393,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_75036,c_193]) ).
tcf(c_75394,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_75036,c_186]) ).
tcf(c_75395,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_75036,c_166]) ).
tcf(c_75396,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_75036,c_193]) ).
tcf(c_75397,plain,
( ( app(sK56,sK56) = iPr_def_11 )
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_75036,c_42707]) ).
tcf(c_75398,plain,
( ( app(sK56,sK56) = iPr_def_12 )
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_75036,c_25424]) ).
tcf(c_75399,plain,
( ( app(sK56,sK56) = nil )
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_75036,c_25408]) ).
tcf(c_75400,plain,
( ssList(app(sK56,app(sK56,sK59)))
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75387,c_9003]) ).
tcf(c_75403,plain,
( rearsegP(app(sK56,app(sK56,sK59)),sK59)
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75386,c_9003]) ).
tcf(c_75406,plain,
( frontsegP(app(sK56,app(sK56,sK59)),app(sK56,sK56))
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75385,c_9003]) ).
tcf(c_75415,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75396,c_9003,c_9004]) ).
tcf(c_75419,plain,
( segmentP(app(sK56,app(sK56,sK59)),sK56)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(app(sK56,app(sK56,sK59))) ),
inference(light_normalisation,[status(thm)],[c_75389,c_75036]) ).
tcf(c_75420,plain,
( segmentP(app(sK56,app(sK56,sK59)),sK56)
| ~ ssList(app(sK56,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75419,c_9003,c_9004]) ).
tcf(c_75423,plain,
( ( nil = sK59 )
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75384,c_9003]) ).
tcf(c_75430,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_75395,c_9003]) ).
tcf(c_75435,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_75394,c_9003]) ).
tcf(c_75440,plain,
( ( app(sK56,sK56) = nil )
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75383,c_9003]) ).
tcf(c_75444,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_75392,c_9003]) ).
tcf(c_75449,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_75391,c_9003]) ).
tcf(c_75454,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_75393,c_9003]) ).
tcf(c_75460,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_75382,c_9003]) ).
tcf(c_75466,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_75390,c_9003]) ).
tcf(c_75471,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_75388,c_9003]) ).
tcf(c_75476,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_75379,c_75036]) ).
tcf(c_75477,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_75476,c_9003]) ).
tcf(c_75521,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_75400,c_228]) ).
tcf(c_75522,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_75400,c_74602]) ).
tcf(c_75523,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_75400,c_23050]) ).
tcf(c_75524,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_75400,c_16754]) ).
tcf(c_75525,plain,
( ( app(app(sK58,app(sK56,app(sK56,sK59))),sK56) = app(sK58,app(app(sK56,app(sK56,sK59)),sK56)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_75400,c_64254]) ).
tcf(c_75526,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_75400,c_64253]) ).
tcf(c_75527,plain,
( ( app(app(sK56,app(sK56,app(sK56,sK59))),sK56) = app(sK56,app(app(sK56,app(sK56,sK59)),sK56)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_75400,c_64252]) ).
tcf(c_75528,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_75400,c_23049]) ).
tcf(c_75529,plain,
( ( hd(app(iPr_def_11,app(sK56,app(sK56,sK59)))) = sK57 )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_75400,c_19361]) ).
tcf(c_75530,plain,
( ( hd(cons(sK60,app(sK56,app(sK56,sK59)))) = sK60 )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_75400,c_19068]) ).
tcf(c_75531,plain,
( ( tl(cons(sK60,app(sK56,app(sK56,sK59)))) = app(sK56,app(sK56,sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_75400,c_19067]) ).
tcf(c_75532,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_75400,c_37537]) ).
tcf(c_75533,plain,
( ( tl(cons(sK7,app(sK56,app(sK56,sK59)))) = app(sK56,app(sK56,sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_75400,c_14098]) ).
tcf(c_75534,plain,
( ( tl(cons(sK6,app(sK56,app(sK56,sK59)))) = app(sK56,app(sK56,sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_75400,c_14097]) ).
tcf(c_75535,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_75400,c_37536]) ).
tcf(c_75536,plain,
( ( hd(cons(sK7,app(sK56,app(sK56,sK59)))) = sK7 )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_75400,c_13924]) ).
tcf(c_75537,plain,
( ( hd(cons(sK6,app(sK56,app(sK56,sK59)))) = sK6 )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_75400,c_13923]) ).
tcf(c_75538,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_75400,c_37535]) ).
tcf(c_75539,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_75400,c_22705]) ).
tcf(c_75540,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_75400,c_21826]) ).
tcf(c_75541,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_75400,c_21825]) ).
tcf(c_75542,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_75400,c_21824]) ).
tcf(c_75543,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_75400,c_124]) ).
tcf(c_75544,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_75400,c_116]) ).
tcf(c_75545,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_75400,c_108]) ).
tcf(c_75546,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK56,app(sK56,sK59)))) = hd(sK58) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_75400,c_19350]) ).
tcf(c_75547,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_75400,c_234]) ).
tcf(c_75548,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK56,app(sK56,sK59)))) = hd(sK59) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_75400,c_19349]) ).
tcf(c_75549,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK56,app(sK56,sK59)))) = hd(sK56) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_75400,c_19348]) ).
tcf(c_75550,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_75400,c_132]) ).
tcf(c_75551,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_75400,c_233]) ).
tcf(c_75552,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_75400,c_224]) ).
tcf(c_75553,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_75400,c_147]) ).
tcf(c_75554,plain,
( ( tl(cons(sK57,app(sK56,app(sK56,sK59)))) = app(sK56,app(sK56,sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_75400,c_14117]) ).
tcf(c_75555,plain,
( ( hd(cons(sK57,app(sK56,app(sK56,sK59)))) = sK57 )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_75400,c_13943]) ).
tcf(c_75556,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_75400,c_222]) ).
tcf(c_75557,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_75400,c_220]) ).
tcf(c_75558,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_75400,c_123]) ).
tcf(c_75559,plain,
( ( app(app(sK56,app(sK56,sK59)),nil) = app(sK56,app(sK56,sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_75400,c_232]) ).
tcf(c_75560,plain,
( ( app(nil,app(sK56,app(sK56,sK59))) = app(sK56,app(sK56,sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_75400,c_155]) ).
tcf(c_75761,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_75037,c_67]) ).
tcf(c_75764,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_75037,c_167]) ).
tcf(c_75765,plain,
( ( app(sK56,sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_75037,c_231]) ).
tcf(c_75766,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_75037,c_230]) ).
tcf(c_75767,plain,
( frontsegP(app(sK56,app(sK59,sK59)),app(sK56,sK59))
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_75037,c_386]) ).
tcf(c_75768,plain,
( rearsegP(app(sK56,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_75037,c_383]) ).
tcf(c_75769,plain,
( ssList(app(sK56,app(sK59,sK59)))
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_75037,c_153]) ).
tcf(c_75770,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_75037,c_225]) ).
tcf(c_75771,plain,
( segmentP(app(sK56,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(app(app(sK56,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_75037,c_67]) ).
tcf(c_75772,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_75037,c_226]) ).
tcf(c_75773,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_75037,c_176]) ).
tcf(c_75774,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_75037,c_165]) ).
tcf(c_75775,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_75037,c_193]) ).
tcf(c_75776,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_75037,c_186]) ).
tcf(c_75777,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_75037,c_166]) ).
tcf(c_75778,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_75037,c_193]) ).
tcf(c_75779,plain,
( ( app(sK56,sK59) = iPr_def_11 )
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_75037,c_42707]) ).
tcf(c_75780,plain,
( ( app(sK56,sK59) = iPr_def_12 )
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_75037,c_25424]) ).
tcf(c_75781,plain,
( ( app(sK56,sK59) = nil )
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_75037,c_25408]) ).
tcf(c_75782,plain,
( ssList(app(sK56,app(sK59,sK59)))
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75769,c_9003]) ).
tcf(c_75785,plain,
( rearsegP(app(sK56,app(sK59,sK59)),sK59)
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75768,c_9003]) ).
tcf(c_75788,plain,
( frontsegP(app(sK56,app(sK59,sK59)),app(sK56,sK59))
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75767,c_9003]) ).
tcf(c_75797,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75778,c_9003,c_9004]) ).
tcf(c_75801,plain,
( segmentP(app(sK56,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(app(sK56,app(sK59,sK59))) ),
inference(light_normalisation,[status(thm)],[c_75771,c_75037]) ).
tcf(c_75802,plain,
( segmentP(app(sK56,app(sK59,sK59)),sK59)
| ~ ssList(app(sK56,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75801,c_9003,c_9004]) ).
tcf(c_75805,plain,
( ( nil = sK59 )
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75766,c_9003]) ).
tcf(c_75812,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_75777,c_9003]) ).
tcf(c_75817,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_75776,c_9003]) ).
tcf(c_75822,plain,
( ( app(sK56,sK59) = nil )
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75765,c_9003]) ).
tcf(c_75826,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_75774,c_9003]) ).
tcf(c_75831,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_75773,c_9003]) ).
tcf(c_75836,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_75775,c_9003]) ).
tcf(c_75842,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_75764,c_9003]) ).
tcf(c_75848,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_75772,c_9003]) ).
tcf(c_75853,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_75770,c_9003]) ).
tcf(c_75858,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_75761,c_75037]) ).
tcf(c_75859,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_75858,c_9003]) ).
tcf(c_75921,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_75782,c_228]) ).
tcf(c_75922,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_75782,c_74602]) ).
tcf(c_75923,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_75782,c_23050]) ).
tcf(c_75924,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_75782,c_16754]) ).
tcf(c_75925,plain,
( ( app(app(sK58,app(sK56,app(sK59,sK59))),sK56) = app(sK58,app(app(sK56,app(sK59,sK59)),sK56)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_75782,c_64254]) ).
tcf(c_75926,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_75782,c_64253]) ).
tcf(c_75927,plain,
( ( app(app(sK56,app(sK56,app(sK59,sK59))),sK56) = app(sK56,app(app(sK56,app(sK59,sK59)),sK56)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_75782,c_64252]) ).
tcf(c_75928,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_75782,c_23049]) ).
tcf(c_75929,plain,
( ( hd(app(iPr_def_11,app(sK56,app(sK59,sK59)))) = sK57 )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_75782,c_19361]) ).
tcf(c_75930,plain,
( ( hd(cons(sK60,app(sK56,app(sK59,sK59)))) = sK60 )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_75782,c_19068]) ).
tcf(c_75931,plain,
( ( tl(cons(sK60,app(sK56,app(sK59,sK59)))) = app(sK56,app(sK59,sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_75782,c_19067]) ).
tcf(c_75932,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_75782,c_37537]) ).
tcf(c_75933,plain,
( ( tl(cons(sK7,app(sK56,app(sK59,sK59)))) = app(sK56,app(sK59,sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_75782,c_14098]) ).
tcf(c_75934,plain,
( ( tl(cons(sK6,app(sK56,app(sK59,sK59)))) = app(sK56,app(sK59,sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_75782,c_14097]) ).
tcf(c_75935,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_75782,c_37536]) ).
tcf(c_75936,plain,
( ( hd(cons(sK7,app(sK56,app(sK59,sK59)))) = sK7 )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_75782,c_13924]) ).
tcf(c_75937,plain,
( ( hd(cons(sK6,app(sK56,app(sK59,sK59)))) = sK6 )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_75782,c_13923]) ).
tcf(c_75938,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_75782,c_37535]) ).
tcf(c_75939,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_75782,c_22705]) ).
tcf(c_75940,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_75782,c_21826]) ).
tcf(c_75941,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_75782,c_21825]) ).
tcf(c_75942,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_75782,c_21824]) ).
tcf(c_75943,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_75782,c_124]) ).
tcf(c_75944,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_75782,c_116]) ).
tcf(c_75945,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_75782,c_108]) ).
tcf(c_75946,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK56,app(sK59,sK59)))) = hd(sK58) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_75782,c_19350]) ).
tcf(c_75947,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_75782,c_234]) ).
tcf(c_75948,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK56,app(sK59,sK59)))) = hd(sK59) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_75782,c_19349]) ).
tcf(c_75949,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK56,app(sK59,sK59)))) = hd(sK56) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_75782,c_19348]) ).
tcf(c_75950,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_75782,c_132]) ).
tcf(c_75951,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_75782,c_233]) ).
tcf(c_75952,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_75782,c_224]) ).
tcf(c_75953,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_75782,c_147]) ).
tcf(c_75954,plain,
( ( tl(cons(sK57,app(sK56,app(sK59,sK59)))) = app(sK56,app(sK59,sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_75782,c_14117]) ).
tcf(c_75955,plain,
( ( hd(cons(sK57,app(sK56,app(sK59,sK59)))) = sK57 )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_75782,c_13943]) ).
tcf(c_75956,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_75782,c_222]) ).
tcf(c_75957,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_75782,c_220]) ).
tcf(c_75958,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_75782,c_123]) ).
tcf(c_75959,plain,
( ( app(app(sK56,app(sK59,sK59)),nil) = app(sK56,app(sK59,sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_75782,c_232]) ).
tcf(c_75960,plain,
( ( app(nil,app(sK56,app(sK59,sK59))) = app(sK56,app(sK59,sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_75782,c_155]) ).
tcf(c_76361,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_75038,c_67]) ).
tcf(c_76364,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_75038,c_167]) ).
tcf(c_76365,plain,
( ( app(sK56,sK58) = nil )
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_75038,c_231]) ).
tcf(c_76366,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_75038,c_230]) ).
tcf(c_76367,plain,
( frontsegP(app(sK56,app(sK58,sK59)),app(sK56,sK58))
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_75038,c_386]) ).
tcf(c_76368,plain,
( rearsegP(app(sK56,app(sK58,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_75038,c_383]) ).
tcf(c_76369,plain,
( ssList(app(sK56,app(sK58,sK59)))
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_75038,c_153]) ).
tcf(c_76370,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_75038,c_225]) ).
tcf(c_76371,plain,
( segmentP(app(sK56,app(sK58,sK59)),sK58)
| ~ ssList(sK58)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(app(app(sK56,sK58),sK59)) ),
inference(superposition,[status(thm)],[c_75038,c_67]) ).
tcf(c_76372,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_75038,c_226]) ).
tcf(c_76373,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_75038,c_176]) ).
tcf(c_76374,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_75038,c_165]) ).
tcf(c_76375,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_75038,c_193]) ).
tcf(c_76376,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_75038,c_186]) ).
tcf(c_76377,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_75038,c_166]) ).
tcf(c_76378,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK58,sK59)),X0)
| ~ ssList(sK58)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_75038,c_193]) ).
tcf(c_76379,plain,
( ( app(sK56,sK58) = iPr_def_11 )
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_75038,c_42707]) ).
tcf(c_76380,plain,
( ( app(sK56,sK58) = iPr_def_12 )
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_75038,c_25424]) ).
tcf(c_76381,plain,
( ( app(sK56,sK58) = nil )
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_75038,c_25408]) ).
tcf(c_76382,plain,
( ssList(app(sK56,app(sK58,sK59)))
| ~ ssList(app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76369,c_9003]) ).
tcf(c_76385,plain,
( rearsegP(app(sK56,app(sK58,sK59)),sK59)
| ~ ssList(app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76368,c_9003]) ).
tcf(c_76388,plain,
( frontsegP(app(sK56,app(sK58,sK59)),app(sK56,sK58))
| ~ ssList(app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76367,c_9003]) ).
tcf(c_76397,plain,
( ( nil = sK59 )
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76366,c_9003]) ).
tcf(c_76404,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_76377,c_9003]) ).
tcf(c_76409,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_76376,c_9003]) ).
tcf(c_76414,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK58,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76378,c_9000,c_9003,c_9004]) ).
tcf(c_76418,plain,
( segmentP(app(sK56,app(sK58,sK59)),sK58)
| ~ ssList(sK58)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(app(sK56,app(sK58,sK59))) ),
inference(light_normalisation,[status(thm)],[c_76371,c_75038]) ).
tcf(c_76419,plain,
( segmentP(app(sK56,app(sK58,sK59)),sK58)
| ~ ssList(app(sK56,app(sK58,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76418,c_9000,c_9003,c_9004]) ).
tcf(c_76422,plain,
( ( app(sK56,sK58) = nil )
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76365,c_9003]) ).
tcf(c_76426,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_76374,c_9003]) ).
tcf(c_76431,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_76373,c_9003]) ).
tcf(c_76436,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_76375,c_9003]) ).
tcf(c_76442,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_76364,c_9003]) ).
tcf(c_76448,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_76372,c_9003]) ).
tcf(c_76453,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_76370,c_9003]) ).
tcf(c_76458,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_76361,c_75038]) ).
tcf(c_76459,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_76458,c_9003]) ).
tcf(c_76478,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_20180,c_130]) ).
tcf(c_76479,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_20180,c_122]) ).
tcf(c_76480,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_20180,c_114]) ).
tcf(c_76481,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_20180,c_130]) ).
tcf(c_76485,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_20180,c_54]) ).
tcf(c_76486,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_20180,c_122]) ).
tcf(c_76487,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_20180,c_114]) ).
tcf(c_76491,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_20180,c_137]) ).
tcf(c_76494,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_20180,c_178]) ).
tcf(c_76495,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_20180,c_179]) ).
tcf(c_76496,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_20180,c_28016]) ).
tcf(c_76497,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_20180,c_27918]) ).
tcf(c_76498,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_20180,c_27763]) ).
tcf(c_76499,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_20180,c_27753]) ).
tcf(c_76500,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_20180,c_26831]) ).
tcf(c_76501,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_20180,c_144]) ).
tcf(c_76502,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_20180,c_143]) ).
tcf(c_76503,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_20180,c_178]) ).
tcf(c_76504,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_20180,c_179]) ).
tcf(c_76505,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_20180,c_170]) ).
tcf(c_76506,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_20180,c_214]) ).
tcf(c_76507,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_20180,c_208]) ).
tcf(c_76508,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_20180,c_213]) ).
tcf(c_76509,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_20180,c_207]) ).
tcf(c_76511,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_20180,c_142]) ).
tcf(c_76512,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_20180,c_168]) ).
tcf(c_76514,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_20180,c_177]) ).
tcf(c_76515,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_20180,c_169]) ).
tcf(c_76516,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_20180,c_177]) ).
tcf(c_76869,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_73207,c_67]) ).
tcf(c_76875,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_73207,c_386]) ).
tcf(c_76876,plain,
( rearsegP(cons(sK57,iPr_def_11),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_73207,c_383]) ).
tcf(c_76878,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_73207,c_225]) ).
tcf(c_76879,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_73207,c_226]) ).
tcf(c_76882,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_73207,c_193]) ).
tcf(c_76883,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_73207,c_186]) ).
tcf(c_76888,plain,
rearsegP(cons(sK57,iPr_def_11),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_76876,c_141,c_72649]) ).
tcf(c_76889,plain,
frontsegP(cons(sK57,iPr_def_11),cons(sK57,iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_76875,c_141,c_72649]) ).
tcf(c_76890,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_11),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76883,c_141,c_72649]) ).
tcf(c_76894,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_76882,c_141,c_72649]) ).
tcf(c_76899,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_76879,c_141,c_72649]) ).
tcf(c_76903,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_76878,c_141,c_72649]) ).
tcf(c_76907,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_76869,c_73207]) ).
tcf(c_76908,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_76907,c_141,c_72649]) ).
tcf(c_77062,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_76888,c_184]) ).
tcf(c_77063,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_76888,c_66]) ).
tcf(c_77064,plain,
app(sK12(cons(sK57,iPr_def_11),nil),nil) = cons(sK57,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_77063,c_141,c_72649]) ).
tcf(c_77065,plain,
~ rearsegP(nil,cons(sK57,iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_77062,c_72659,c_141,c_72649]) ).
tcf(c_77068,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_76889,c_63]) ).
tcf(c_77071,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_77068,c_72649]) ).
tcf(c_77074,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_71426,c_223]) ).
tcf(c_77075,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_71426,c_212]) ).
tcf(c_77076,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_71426,c_206]) ).
tcf(c_77089,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_77074,c_71423]) ).
tcf(c_77101,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_71427,c_223]) ).
tcf(c_77102,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_71427,c_212]) ).
tcf(c_77103,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_71427,c_206]) ).
tcf(c_77116,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_77101,c_71424]) ).
tcf(c_77128,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_71445,c_223]) ).
tcf(c_77129,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_71445,c_212]) ).
tcf(c_77130,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_71445,c_206]) ).
tcf(c_77143,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_77128,c_71444]) ).
tcf(c_77158,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_76382,c_228]) ).
tcf(c_77159,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_76382,c_74602]) ).
tcf(c_77160,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_76382,c_23050]) ).
tcf(c_77161,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_76382,c_16754]) ).
tcf(c_77162,plain,
( ( app(app(sK58,app(sK56,app(sK58,sK59))),sK56) = app(sK58,app(app(sK56,app(sK58,sK59)),sK56)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_76382,c_64254]) ).
tcf(c_77163,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_76382,c_64253]) ).
tcf(c_77164,plain,
( ( app(app(sK56,app(sK56,app(sK58,sK59))),sK56) = app(sK56,app(app(sK56,app(sK58,sK59)),sK56)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_76382,c_64252]) ).
tcf(c_77165,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_76382,c_23049]) ).
tcf(c_77166,plain,
( ( hd(app(iPr_def_11,app(sK56,app(sK58,sK59)))) = sK57 )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_76382,c_19361]) ).
tcf(c_77167,plain,
( ( hd(cons(sK60,app(sK56,app(sK58,sK59)))) = sK60 )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_76382,c_19068]) ).
tcf(c_77168,plain,
( ( tl(cons(sK60,app(sK56,app(sK58,sK59)))) = app(sK56,app(sK58,sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_76382,c_19067]) ).
tcf(c_77169,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_76382,c_37537]) ).
tcf(c_77170,plain,
( ( tl(cons(sK7,app(sK56,app(sK58,sK59)))) = app(sK56,app(sK58,sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_76382,c_14098]) ).
tcf(c_77171,plain,
( ( tl(cons(sK6,app(sK56,app(sK58,sK59)))) = app(sK56,app(sK58,sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_76382,c_14097]) ).
tcf(c_77172,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_76382,c_37536]) ).
tcf(c_77173,plain,
( ( hd(cons(sK7,app(sK56,app(sK58,sK59)))) = sK7 )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_76382,c_13924]) ).
tcf(c_77174,plain,
( ( hd(cons(sK6,app(sK56,app(sK58,sK59)))) = sK6 )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_76382,c_13923]) ).
tcf(c_77175,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_76382,c_37535]) ).
tcf(c_77176,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_76382,c_22705]) ).
tcf(c_77177,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_76382,c_21826]) ).
tcf(c_77178,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_76382,c_21825]) ).
tcf(c_77179,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_76382,c_21824]) ).
tcf(c_77180,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_76382,c_124]) ).
tcf(c_77181,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_76382,c_116]) ).
tcf(c_77182,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_76382,c_108]) ).
tcf(c_77183,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK56,app(sK58,sK59)))) = hd(sK58) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_76382,c_19350]) ).
tcf(c_77184,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_76382,c_234]) ).
tcf(c_77185,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK56,app(sK58,sK59)))) = hd(sK59) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_76382,c_19349]) ).
tcf(c_77186,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK56,app(sK58,sK59)))) = hd(sK56) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_76382,c_19348]) ).
tcf(c_77187,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_76382,c_132]) ).
tcf(c_77188,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_76382,c_233]) ).
tcf(c_77189,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_76382,c_224]) ).
tcf(c_77190,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_76382,c_147]) ).
tcf(c_77191,plain,
( ( tl(cons(sK57,app(sK56,app(sK58,sK59)))) = app(sK56,app(sK58,sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_76382,c_14117]) ).
tcf(c_77192,plain,
( ( hd(cons(sK57,app(sK56,app(sK58,sK59)))) = sK57 )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_76382,c_13943]) ).
tcf(c_77193,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_76382,c_222]) ).
tcf(c_77194,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_76382,c_220]) ).
tcf(c_77195,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_76382,c_123]) ).
tcf(c_77196,plain,
( ( app(app(sK56,app(sK58,sK59)),nil) = app(sK56,app(sK58,sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_76382,c_232]) ).
tcf(c_77197,plain,
( ( app(nil,app(sK56,app(sK58,sK59))) = app(sK56,app(sK58,sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_76382,c_155]) ).
tcf(c_77440,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_75403,c_183]) ).
tcf(c_77441,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_75403,c_184]) ).
tcf(c_77442,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_75403,c_66]) ).
tcf(c_77444,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_77442,c_9003]) ).
tcf(c_77448,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_77441,c_9003]) ).
tcf(c_77457,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_75785,c_183]) ).
tcf(c_77458,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_75785,c_184]) ).
tcf(c_77459,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_75785,c_66]) ).
tcf(c_77461,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_77459,c_9003]) ).
tcf(c_77465,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_77458,c_9003]) ).
tcf(c_77474,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_76385,c_183]) ).
tcf(c_77475,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_76385,c_184]) ).
tcf(c_77476,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_76385,c_66]) ).
tcf(c_77478,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_77476,c_9003]) ).
tcf(c_77482,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_77475,c_9003]) ).
tcf(c_77492,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_75406,c_174]) ).
tcf(c_77493,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_75406,c_63]) ).
tcf(c_77507,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_75415,c_70]) ).
tcf(c_77508,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_75415,c_190]) ).
tcf(c_77509,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_75415,c_191]) ).
tcf(c_77978,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_75420,c_70]) ).
tcf(c_77979,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_75420,c_190]) ).
tcf(c_77980,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_75420,c_191]) ).
tcf(c_77982,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_77980,c_9004]) ).
tcf(c_77986,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_77978,c_9004]) ).
tcf(c_77994,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_75788,c_174]) ).
tcf(c_77995,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_75788,c_63]) ).
tcf(c_78007,plain,
( ssList(tl(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_20183,c_221]) ).
tcf(c_78008,plain,
( ssList(tl(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78007,c_19130]) ).
tcf(c_78015,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_78008,c_228]) ).
tcf(c_78016,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_78008,c_74602]) ).
tcf(c_78017,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_78008,c_23050]) ).
tcf(c_78018,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_78008,c_16754]) ).
tcf(c_78019,plain,
( ( tl(iPr_def_12) = nil )
| ( app(app(sK58,tl(tl(iPr_def_12))),sK56) = app(sK58,app(tl(tl(iPr_def_12)),sK56)) ) ),
inference(superposition,[status(thm)],[c_78008,c_64254]) ).
tcf(c_78020,plain,
( ( tl(iPr_def_12) = nil )
| ( app(app(sK59,tl(tl(iPr_def_12))),sK56) = app(sK59,app(tl(tl(iPr_def_12)),sK56)) ) ),
inference(superposition,[status(thm)],[c_78008,c_64253]) ).
tcf(c_78021,plain,
( ( tl(iPr_def_12) = nil )
| ( app(app(sK56,tl(tl(iPr_def_12))),sK56) = app(sK56,app(tl(tl(iPr_def_12)),sK56)) ) ),
inference(superposition,[status(thm)],[c_78008,c_64252]) ).
tcf(c_78022,plain,
! [X0: $i] :
( ( tl(iPr_def_12) = nil )
| ( app(app(tl(tl(iPr_def_12)),X0),sK56) = app(tl(tl(iPr_def_12)),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_78008,c_23049]) ).
tcf(c_78023,plain,
( ( tl(iPr_def_12) = nil )
| ( hd(app(iPr_def_11,tl(tl(iPr_def_12)))) = sK57 ) ),
inference(superposition,[status(thm)],[c_78008,c_19361]) ).
tcf(c_78024,plain,
( ( tl(iPr_def_12) = nil )
| ( hd(cons(sK60,tl(tl(iPr_def_12)))) = sK60 ) ),
inference(superposition,[status(thm)],[c_78008,c_19068]) ).
tcf(c_78025,plain,
( ( tl(iPr_def_12) = nil )
| ( tl(cons(sK60,tl(tl(iPr_def_12)))) = tl(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_78008,c_19067]) ).
tcf(c_78026,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_78008,c_37537]) ).
tcf(c_78027,plain,
( ( tl(iPr_def_12) = nil )
| ( tl(cons(sK7,tl(tl(iPr_def_12)))) = tl(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_78008,c_14098]) ).
tcf(c_78028,plain,
( ( tl(iPr_def_12) = nil )
| ( tl(cons(sK6,tl(tl(iPr_def_12)))) = tl(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_78008,c_14097]) ).
tcf(c_78029,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_78008,c_37536]) ).
tcf(c_78030,plain,
( ( tl(iPr_def_12) = nil )
| ( hd(cons(sK7,tl(tl(iPr_def_12)))) = sK7 ) ),
inference(superposition,[status(thm)],[c_78008,c_13924]) ).
tcf(c_78031,plain,
( ( tl(iPr_def_12) = nil )
| ( hd(cons(sK6,tl(tl(iPr_def_12)))) = sK6 ) ),
inference(superposition,[status(thm)],[c_78008,c_13923]) ).
tcf(c_78032,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_78008,c_37535]) ).
tcf(c_78033,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_78008,c_22705]) ).
tcf(c_78034,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_78008,c_21826]) ).
tcf(c_78035,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_78008,c_21825]) ).
tcf(c_78036,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_78008,c_21824]) ).
tcf(c_78037,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_78008,c_124]) ).
tcf(c_78038,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_78008,c_116]) ).
tcf(c_78039,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_78008,c_108]) ).
tcf(c_78040,plain,
( ( nil = sK58 )
| ( tl(iPr_def_12) = nil )
| ( hd(app(sK58,tl(tl(iPr_def_12)))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_78008,c_19350]) ).
tcf(c_78041,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_78008,c_234]) ).
tcf(c_78042,plain,
( ( nil = sK59 )
| ( tl(iPr_def_12) = nil )
| ( hd(app(sK59,tl(tl(iPr_def_12)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_78008,c_19349]) ).
tcf(c_78043,plain,
( ( nil = sK56 )
| ( tl(iPr_def_12) = nil )
| ( hd(app(sK56,tl(tl(iPr_def_12)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_78008,c_19348]) ).
tcf(c_78044,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_78008,c_132]) ).
tcf(c_78045,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_78008,c_233]) ).
tcf(c_78046,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_78008,c_224]) ).
tcf(c_78047,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_78008,c_147]) ).
tcf(c_78048,plain,
( ( tl(iPr_def_12) = nil )
| ( tl(cons(sK57,tl(tl(iPr_def_12)))) = tl(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_78008,c_14117]) ).
tcf(c_78049,plain,
( ( tl(iPr_def_12) = nil )
| ( hd(cons(sK57,tl(tl(iPr_def_12)))) = sK57 ) ),
inference(superposition,[status(thm)],[c_78008,c_13943]) ).
tcf(c_78050,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_78008,c_222]) ).
tcf(c_78051,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_78008,c_220]) ).
tcf(c_78052,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_78008,c_123]) ).
tcf(c_78053,plain,
( ( tl(iPr_def_12) = nil )
| ( app(tl(tl(iPr_def_12)),nil) = tl(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_78008,c_232]) ).
tcf(c_78054,plain,
( ( tl(iPr_def_12) = nil )
| ( app(nil,tl(tl(iPr_def_12))) = tl(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_78008,c_155]) ).
tcf(c_78251,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_73208,c_122]) ).
tcf(c_78252,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_73208,c_114]) ).
tcf(c_78253,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_73208,c_130]) ).
tcf(c_78257,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_73208,c_54]) ).
tcf(c_78258,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_73208,c_67]) ).
tcf(c_78264,plain,
( frontsegP(cons(sK57,iPr_def_11),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_73208,c_386]) ).
tcf(c_78265,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_73208,c_383]) ).
tcf(c_78267,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_73208,c_225]) ).
tcf(c_78271,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_73208,c_226]) ).
tcf(c_78272,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_73208,c_176]) ).
tcf(c_78274,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_73208,c_193]) ).
tcf(c_78277,plain,
frontsegP(cons(sK57,iPr_def_11),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_78264,c_141,c_72649]) ).
tcf(c_78278,plain,
rearsegP(cons(sK57,iPr_def_11),cons(sK57,iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_78265,c_141,c_72649]) ).
tcf(c_78279,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_11),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78272,c_141,c_72649]) ).
tcf(c_78283,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_78257,c_73208]) ).
tcf(c_78284,plain,
memberP(cons(sK57,iPr_def_11),sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_78283,c_12859,c_141,c_8999,c_72649]) ).
tcf(c_78285,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_78271,c_141,c_72649]) ).
tcf(c_78289,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_78267,c_141,c_72649]) ).
tcf(c_78293,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_78274,c_141,c_72649]) ).
tcf(c_78298,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_78258,c_73208]) ).
tcf(c_78299,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_78298,c_141,c_72649]) ).
tcf(c_78321,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_78253,c_73208]) ).
tcf(c_78322,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_78321,c_12859,c_141,c_8999]) ).
tcf(c_78326,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_78252,c_73208]) ).
tcf(c_78327,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_78326,c_12859,c_141,c_8999]) ).
tcf(c_78333,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_78251,c_73208]) ).
tcf(c_78334,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_78333,c_12859,c_141,c_8999]) ).
tcf(c_78349,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_78277,c_174]) ).
tcf(c_78350,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_78277,c_63]) ).
tcf(c_78351,plain,
app(nil,sK11(cons(sK57,iPr_def_11),nil)) = cons(sK57,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_78350,c_141,c_72649]) ).
tcf(c_78352,plain,
~ frontsegP(nil,cons(sK57,iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_78349,c_72659,c_141,c_72649]) ).
tcf(c_78353,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_78284,c_57]) ).
tcf(c_78354,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_78284,c_12668]) ).
tcf(c_78356,plain,
app(nil,sK8(cons(sK57,iPr_def_11),sK57)) = sK8(cons(sK57,iPr_def_11),sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_78354,c_8999,c_72649]) ).
tcf(c_78357,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_78353,c_8999,c_72649]) ).
tcf(c_78360,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_78278,c_66]) ).
tcf(c_78361,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_78360,c_72649]) ).
tcf(c_78364,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_73178,c_223]) ).
tcf(c_78365,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_73178,c_212]) ).
tcf(c_78366,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_73178,c_206]) ).
tcf(c_78379,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_78364,c_73179]) ).
tcf(c_78434,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_73184,c_223]) ).
tcf(c_78435,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_73184,c_212]) ).
tcf(c_78436,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_73184,c_206]) ).
tcf(c_78449,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_78434,c_73181]) ).
tcf(c_78465,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_75797,c_70]) ).
tcf(c_78466,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_75797,c_190]) ).
tcf(c_78467,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_75797,c_191]) ).
tcf(c_78490,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_75802,c_70]) ).
tcf(c_78491,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_75802,c_190]) ).
tcf(c_78492,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_75802,c_191]) ).
tcf(c_78494,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_78492,c_9003]) ).
tcf(c_78498,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_78490,c_9003]) ).
tcf(c_78506,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_76388,c_174]) ).
tcf(c_78507,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_76388,c_63]) ).
tcf(c_78521,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_76414,c_70]) ).
tcf(c_78522,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_76414,c_190]) ).
tcf(c_78523,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_76414,c_191]) ).
tcf(c_78546,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_76419,c_70]) ).
tcf(c_78547,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_76419,c_190]) ).
tcf(c_78548,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_76419,c_191]) ).
tcf(c_78550,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_78548,c_9000]) ).
tcf(c_78554,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_78546,c_9000]) ).
tcf(c_78557,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_78356,c_67]) ).
tcf(c_78563,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_78356,c_386]) ).
tcf(c_78564,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_78356,c_383]) ).
tcf(c_78566,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_78356,c_225]) ).
tcf(c_78570,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_78356,c_226]) ).
tcf(c_78571,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_78356,c_176]) ).
tcf(c_78573,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_78356,c_193]) ).
tcf(c_78576,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_78563,c_141]) ).
tcf(c_78579,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_78564,c_141]) ).
tcf(c_78582,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_78571,c_141]) ).
tcf(c_78587,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_78570,c_141]) ).
tcf(c_78592,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_78566,c_141]) ).
tcf(c_78597,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_78573,c_141]) ).
tcf(c_78603,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_78557,c_78356]) ).
tcf(c_78604,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_78603,c_141]) ).
tcf(c_78616,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_74603]) ).
tcf(c_78617,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_74603]) ).
tcf(c_78618,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_74603]) ).
tcf(c_78619,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_74603]) ).
tcf(c_78620,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_74603]) ).
tcf(c_78621,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_74603]) ).
tcf(c_78622,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_74603]) ).
tcf(c_78632,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_74603]) ).
tcf(c_78633,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_74603]) ).
tcf(c_78634,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_74603]) ).
tcf(c_78635,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_74603]) ).
tcf(c_78636,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_74603]) ).
tcf(c_78637,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_74603]) ).
tcf(c_78638,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_74603]) ).
tcf(c_78639,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_74603]) ).
tcf(c_78640,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_74603]) ).
tcf(c_78641,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_74603]) ).
tcf(c_78642,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_74603]) ).
tcf(c_78643,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_74603]) ).
tcf(c_78644,plain,
app(app(sK59,nil),sK59) = app(sK59,app(nil,sK59)),
inference(superposition,[status(thm)],[c_141,c_74603]) ).
tcf(c_78645,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_74603]) ).
tcf(c_78646,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_74603]) ).
tcf(c_78647,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_74603]) ).
tcf(c_78648,plain,
app(app(sK59,sK56),sK59) = app(sK59,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_9004,c_74603]) ).
tcf(c_78649,plain,
app(app(sK59,sK59),sK59) = app(sK59,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_9003,c_74603]) ).
tcf(c_78650,plain,
app(app(sK59,sK58),sK59) = app(sK59,app(sK58,sK59)),
inference(superposition,[status(thm)],[c_9000,c_74603]) ).
tcf(c_78651,plain,
app(app(sK59,iPr_def_12),sK59) = app(sK59,app(iPr_def_12,sK59)),
inference(superposition,[status(thm)],[c_12995,c_74603]) ).
tcf(c_78652,plain,
app(app(sK59,iPr_def_11),sK59) = app(sK59,app(iPr_def_11,sK59)),
inference(superposition,[status(thm)],[c_12859,c_74603]) ).
tcf(c_78653,plain,
app(app(sK59,iPr_def_10),sK59) = app(sK59,app(iPr_def_10,sK59)),
inference(superposition,[status(thm)],[c_18402,c_74603]) ).
tcf(c_78654,plain,
app(app(sK59,cons(sK57,sK56)),sK59) = app(sK59,app(cons(sK57,sK56),sK59)),
inference(superposition,[status(thm)],[c_38969,c_74603]) ).
tcf(c_78655,plain,
app(app(sK59,cons(sK57,sK59)),sK59) = app(sK59,app(cons(sK57,sK59),sK59)),
inference(superposition,[status(thm)],[c_42671,c_74603]) ).
tcf(c_78656,plain,
app(app(sK59,cons(sK57,sK58)),sK59) = app(sK59,app(cons(sK57,sK58),sK59)),
inference(superposition,[status(thm)],[c_45936,c_74603]) ).
tcf(c_78657,plain,
( ( nil = sK56 )
| ( app(app(sK59,tl(sK56)),sK59) = app(sK59,app(tl(sK56),sK59)) ) ),
inference(superposition,[status(thm)],[c_15456,c_74603]) ).
tcf(c_78658,plain,
( ( nil = sK59 )
| ( app(app(sK59,tl(sK59)),sK59) = app(sK59,app(tl(sK59),sK59)) ) ),
inference(superposition,[status(thm)],[c_15493,c_74603]) ).
tcf(c_78659,plain,
( ( nil = sK58 )
| ( app(app(sK59,tl(sK58)),sK59) = app(sK59,app(tl(sK58),sK59)) ) ),
inference(superposition,[status(thm)],[c_15877,c_74603]) ).
tcf(c_78660,plain,
app(app(sK59,tl(iPr_def_12)),sK59) = app(sK59,app(tl(iPr_def_12),sK59)),
inference(superposition,[status(thm)],[c_19130,c_74603]) ).
tcf(c_78661,plain,
app(app(sK59,cons(sK57,iPr_def_12)),sK59) = app(sK59,app(cons(sK57,iPr_def_12),sK59)),
inference(superposition,[status(thm)],[c_71102,c_74603]) ).
tcf(c_78662,plain,
app(app(sK59,cons(sK57,iPr_def_11)),sK59) = app(sK59,app(cons(sK57,iPr_def_11),sK59)),
inference(superposition,[status(thm)],[c_72649,c_74603]) ).
tcf(c_78663,plain,
app(app(sK59,cons(sK57,iPr_def_10)),sK59) = app(sK59,app(cons(sK57,iPr_def_10),sK59)),
inference(superposition,[status(thm)],[c_61331,c_74603]) ).
tcf(c_78664,plain,
app(app(sK59,cons(sK57,app(sK56,sK56))),sK59) = app(sK59,app(cons(sK57,app(sK56,sK56)),sK59)),
inference(superposition,[status(thm)],[c_39016,c_74603]) ).
tcf(c_78665,plain,
app(app(sK59,cons(sK57,app(sK59,sK56))),sK59) = app(sK59,app(cons(sK57,app(sK59,sK56)),sK59)),
inference(superposition,[status(thm)],[c_42723,c_74603]) ).
tcf(c_78666,plain,
app(app(sK59,cons(sK57,app(sK58,sK56))),sK59) = app(sK59,app(cons(sK57,app(sK58,sK56)),sK59)),
inference(superposition,[status(thm)],[c_45988,c_74603]) ).
tcf(c_78667,plain,
app(app(sK59,cons(sK57,app(sK56,sK59))),sK59) = app(sK59,app(cons(sK57,app(sK56,sK59)),sK59)),
inference(superposition,[status(thm)],[c_41916,c_74603]) ).
tcf(c_78668,plain,
app(app(sK59,cons(sK57,app(sK59,sK59))),sK59) = app(sK59,app(cons(sK57,app(sK59,sK59)),sK59)),
inference(superposition,[status(thm)],[c_43373,c_74603]) ).
tcf(c_78669,plain,
app(app(sK59,cons(sK57,app(sK58,sK59))),sK59) = app(sK59,app(cons(sK57,app(sK58,sK59)),sK59)),
inference(superposition,[status(thm)],[c_45985,c_74603]) ).
tcf(c_78670,plain,
app(app(sK59,cons(sK57,app(sK56,sK58))),sK59) = app(sK59,app(cons(sK57,app(sK56,sK58)),sK59)),
inference(superposition,[status(thm)],[c_45632,c_74603]) ).
tcf(c_78671,plain,
app(app(sK59,cons(sK57,app(sK59,sK58))),sK59) = app(sK59,app(cons(sK57,app(sK59,sK58)),sK59)),
inference(superposition,[status(thm)],[c_46645,c_74603]) ).
tcf(c_78672,plain,
app(app(sK59,cons(sK57,app(sK58,sK58))),sK59) = app(sK59,app(cons(sK57,app(sK58,sK58)),sK59)),
inference(superposition,[status(thm)],[c_47111,c_74603]) ).
tcf(c_78673,plain,
( ( app(app(sK59,app(sK56,app(sK56,sK56))),sK59) = app(sK59,app(app(sK56,app(sK56,sK56)),sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_74603]) ).
tcf(c_78674,plain,
( ( app(app(sK59,app(sK56,app(sK59,sK56))),sK59) = app(sK59,app(app(sK56,app(sK59,sK56)),sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_74603]) ).
tcf(c_78675,plain,
( ( app(app(sK59,app(sK56,app(sK58,sK56))),sK59) = app(sK59,app(app(sK56,app(sK58,sK56)),sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_74603]) ).
tcf(c_78676,plain,
( ( app(app(sK59,app(sK59,app(sK56,sK56))),sK59) = app(sK59,app(app(sK59,app(sK56,sK56)),sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_74603]) ).
tcf(c_78677,plain,
( ( app(app(sK59,app(sK59,app(sK59,sK56))),sK59) = app(sK59,app(app(sK59,app(sK59,sK56)),sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_74603]) ).
tcf(c_78678,plain,
( ( app(app(sK59,app(sK59,app(sK58,sK56))),sK59) = app(sK59,app(app(sK59,app(sK58,sK56)),sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_74603]) ).
tcf(c_78679,plain,
( ( app(app(sK59,app(sK58,app(sK56,sK56))),sK59) = app(sK59,app(app(sK58,app(sK56,sK56)),sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_74603]) ).
tcf(c_78680,plain,
( ( app(app(sK59,app(sK58,app(sK59,sK56))),sK59) = app(sK59,app(app(sK58,app(sK59,sK56)),sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_74603]) ).
tcf(c_78681,plain,
( ( app(app(sK59,app(sK58,app(sK58,sK56))),sK59) = app(sK59,app(app(sK58,app(sK58,sK56)),sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_74603]) ).
tcf(c_78682,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_78008,c_74603]) ).
tcf(c_78683,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_75400,c_74603]) ).
tcf(c_78684,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_75782,c_74603]) ).
tcf(c_78685,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_76382,c_74603]) ).
tcf(c_78686,plain,
app(app(sK59,iPr_def_11),sK59) = app(sK59,cons(sK57,sK59)),
inference(light_normalisation,[status(thm)],[c_78652,c_41668]) ).
tcf(c_78687,plain,
app(app(sK59,iPr_def_12),sK59) = app(sK59,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_78651,c_18427]) ).
tcf(c_78689,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_78663,c_41657]) ).
tcf(c_78690,plain,
app(app(sK59,cons(sK57,iPr_def_11)),sK59) = app(sK59,cons(sK57,cons(sK57,sK59))),
inference(light_normalisation,[status(thm)],[c_78662,c_41656,c_41668]) ).
tcf(c_78691,plain,
app(app(sK59,cons(sK57,iPr_def_12)),sK59) = app(sK59,cons(sK57,iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_78661,c_41667]) ).
tcf(c_78692,plain,
app(app(sK59,cons(sK57,sK58)),sK59) = app(sK59,cons(sK57,app(sK58,sK59))),
inference(light_normalisation,[status(thm)],[c_78656,c_41654]) ).
tcf(c_78693,plain,
app(app(sK59,cons(sK57,sK59)),sK59) = app(sK59,cons(sK57,app(sK59,sK59))),
inference(light_normalisation,[status(thm)],[c_78655,c_41653]) ).
tcf(c_78694,plain,
app(app(sK59,cons(sK57,sK56)),sK59) = app(sK59,cons(sK57,app(sK56,sK59))),
inference(light_normalisation,[status(thm)],[c_78654,c_41652]) ).
tcf(c_78995,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_78648,c_67]) ).
tcf(c_78998,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_78648,c_167]) ).
tcf(c_78999,plain,
( ( app(sK59,sK56) = nil )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_78648,c_231]) ).
tcf(c_79000,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_78648,c_230]) ).
tcf(c_79001,plain,
( frontsegP(app(sK59,app(sK56,sK59)),app(sK59,sK56))
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_78648,c_386]) ).
tcf(c_79002,plain,
( rearsegP(app(sK59,app(sK56,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_78648,c_383]) ).
tcf(c_79003,plain,
( ssList(app(sK59,app(sK56,sK59)))
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_78648,c_153]) ).
tcf(c_79004,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_78648,c_225]) ).
tcf(c_79005,plain,
( segmentP(app(sK59,app(sK56,sK59)),sK56)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(app(app(sK59,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_78648,c_67]) ).
tcf(c_79006,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_78648,c_226]) ).
tcf(c_79007,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_78648,c_176]) ).
tcf(c_79008,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_78648,c_165]) ).
tcf(c_79009,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_78648,c_193]) ).
tcf(c_79010,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_78648,c_186]) ).
tcf(c_79011,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_78648,c_166]) ).
tcf(c_79012,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_78648,c_193]) ).
tcf(c_79013,plain,
( ( app(sK59,sK56) = iPr_def_11 )
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_78648,c_42707]) ).
tcf(c_79014,plain,
( ( app(sK59,sK56) = iPr_def_12 )
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_78648,c_25424]) ).
tcf(c_79015,plain,
( ( app(sK59,sK56) = nil )
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_78648,c_25408]) ).
tcf(c_79016,plain,
( ssList(app(sK59,app(sK56,sK59)))
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79003,c_9003]) ).
tcf(c_79019,plain,
( rearsegP(app(sK59,app(sK56,sK59)),sK59)
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79002,c_9003]) ).
tcf(c_79022,plain,
( frontsegP(app(sK59,app(sK56,sK59)),app(sK59,sK56))
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79001,c_9003]) ).
tcf(c_79031,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79012,c_9003,c_9004]) ).
tcf(c_79035,plain,
( segmentP(app(sK59,app(sK56,sK59)),sK56)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(app(sK59,app(sK56,sK59))) ),
inference(light_normalisation,[status(thm)],[c_79005,c_78648]) ).
tcf(c_79036,plain,
( segmentP(app(sK59,app(sK56,sK59)),sK56)
| ~ ssList(app(sK59,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79035,c_9003,c_9004]) ).
tcf(c_79039,plain,
( ( nil = sK59 )
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79000,c_9003]) ).
tcf(c_79046,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_79011,c_9003]) ).
tcf(c_79051,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_79010,c_9003]) ).
tcf(c_79056,plain,
( ( app(sK59,sK56) = nil )
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78999,c_9003]) ).
tcf(c_79060,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_79008,c_9003]) ).
tcf(c_79065,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_79007,c_9003]) ).
tcf(c_79070,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_79009,c_9003]) ).
tcf(c_79076,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_78998,c_9003]) ).
tcf(c_79082,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_79006,c_9003]) ).
tcf(c_79087,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_79004,c_9003]) ).
tcf(c_79092,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_78995,c_78648]) ).
tcf(c_79093,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_79092,c_9003]) ).
tcf(c_79155,plain,
( ssItem(hd(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_20184,c_219]) ).
tcf(c_79156,plain,
( ssItem(hd(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79155,c_19130]) ).
tcf(c_79163,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_79156,c_154]) ).
tcf(c_79164,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_79156,c_227]) ).
tcf(c_79165,plain,
! [X0: $i] :
( ( tl(iPr_def_12) = nil )
| ( tl(cons(hd(tl(iPr_def_12)),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79156,c_152]) ).
tcf(c_79166,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_79156,c_150]) ).
tcf(c_79190,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_17876]) ).
tcf(c_79191,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_17876]) ).
tcf(c_79192,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_17876]) ).
tcf(c_79193,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_17876]) ).
tcf(c_79194,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_17876]) ).
tcf(c_79195,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_17876]) ).
tcf(c_79196,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_17876]) ).
tcf(c_79206,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK34(X0),sK11(sK34(X0),sK34(X0))) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_17876]) ).
tcf(c_79207,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK33(X0),sK11(sK33(X0),sK33(X0))) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_17876]) ).
tcf(c_79208,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK32(X0),sK11(sK32(X0),sK32(X0))) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_17876]) ).
tcf(c_79209,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK39(X0),sK11(sK39(X0),sK39(X0))) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_17876]) ).
tcf(c_79210,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK38(X0),sK11(sK38(X0),sK38(X0))) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_17876]) ).
tcf(c_79211,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK37(X0),sK11(sK37(X0),sK37(X0))) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_17876]) ).
tcf(c_79212,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK44(X0),sK11(sK44(X0),sK44(X0))) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_17876]) ).
tcf(c_79213,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK43(X0),sK11(sK43(X0),sK43(X0))) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_17876]) ).
tcf(c_79214,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK42(X0),sK11(sK42(X0),sK42(X0))) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_17876]) ).
tcf(c_79215,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(sK48(X0),sK11(sK48(X0),sK48(X0))) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_17876]) ).
tcf(c_79216,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(sK47(X0),sK11(sK47(X0),sK47(X0))) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_17876]) ).
tcf(c_79217,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_17876]) ).
tcf(c_79219,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(sK49(X0),sK11(sK49(X0),sK49(X0))) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_17876]) ).
tcf(c_79220,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(tl(X0),sK11(tl(X0),tl(X0))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_17876]) ).
tcf(c_79221,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(sK52(X0),sK11(sK52(X0),sK52(X0))) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_17876]) ).
tcf(c_79231,plain,
( ( nil = sK56 )
| ( app(tl(sK56),sK11(tl(sK56),tl(sK56))) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15456,c_17876]) ).
tcf(c_79232,plain,
( ( nil = sK59 )
| ( app(tl(sK59),sK11(tl(sK59),tl(sK59))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15493,c_17876]) ).
tcf(c_79233,plain,
( ( nil = sK58 )
| ( app(tl(sK58),sK11(tl(sK58),tl(sK58))) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15877,c_17876]) ).
tcf(c_79238,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_39016,c_17876]) ).
tcf(c_79239,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_42723,c_17876]) ).
tcf(c_79240,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_45988,c_17876]) ).
tcf(c_79241,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_41916,c_17876]) ).
tcf(c_79242,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_43373,c_17876]) ).
tcf(c_79243,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_45985,c_17876]) ).
tcf(c_79244,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_45632,c_17876]) ).
tcf(c_79245,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_46645,c_17876]) ).
tcf(c_79246,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_47111,c_17876]) ).
tcf(c_79247,plain,
( ( app(app(sK56,app(sK56,sK56)),sK11(app(sK56,app(sK56,sK56)),app(sK56,app(sK56,sK56)))) = app(sK56,app(sK56,sK56)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_17876]) ).
tcf(c_79248,plain,
( ( app(app(sK56,app(sK59,sK56)),sK11(app(sK56,app(sK59,sK56)),app(sK56,app(sK59,sK56)))) = app(sK56,app(sK59,sK56)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_17876]) ).
tcf(c_79249,plain,
( ( app(app(sK56,app(sK58,sK56)),sK11(app(sK56,app(sK58,sK56)),app(sK56,app(sK58,sK56)))) = app(sK56,app(sK58,sK56)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_17876]) ).
tcf(c_79250,plain,
( ( app(app(sK59,app(sK56,sK56)),sK11(app(sK59,app(sK56,sK56)),app(sK59,app(sK56,sK56)))) = app(sK59,app(sK56,sK56)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_17876]) ).
tcf(c_79251,plain,
( ( app(app(sK59,app(sK59,sK56)),sK11(app(sK59,app(sK59,sK56)),app(sK59,app(sK59,sK56)))) = app(sK59,app(sK59,sK56)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_17876]) ).
tcf(c_79252,plain,
( ( app(app(sK59,app(sK58,sK56)),sK11(app(sK59,app(sK58,sK56)),app(sK59,app(sK58,sK56)))) = app(sK59,app(sK58,sK56)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_17876]) ).
tcf(c_79253,plain,
( ( app(app(sK58,app(sK56,sK56)),sK11(app(sK58,app(sK56,sK56)),app(sK58,app(sK56,sK56)))) = app(sK58,app(sK56,sK56)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_17876]) ).
tcf(c_79254,plain,
( ( app(app(sK58,app(sK59,sK56)),sK11(app(sK58,app(sK59,sK56)),app(sK58,app(sK59,sK56)))) = app(sK58,app(sK59,sK56)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_17876]) ).
tcf(c_79255,plain,
( ( app(app(sK58,app(sK58,sK56)),sK11(app(sK58,app(sK58,sK56)),app(sK58,app(sK58,sK56)))) = app(sK58,app(sK58,sK56)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_17876]) ).
tcf(c_79256,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_78008,c_17876]) ).
tcf(c_79257,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_75400,c_17876]) ).
tcf(c_79258,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_75782,c_17876]) ).
tcf(c_79259,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_76382,c_17876]) ).
tcf(c_79492,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_17916]) ).
tcf(c_79493,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_17916]) ).
tcf(c_79494,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_17916]) ).
tcf(c_79495,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_17916]) ).
tcf(c_79496,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_17916]) ).
tcf(c_79497,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_17916]) ).
tcf(c_79498,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_17916]) ).
tcf(c_79508,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(nil,sK11(sK34(X0),nil)) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_17916]) ).
tcf(c_79509,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(nil,sK11(sK33(X0),nil)) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_17916]) ).
tcf(c_79510,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(nil,sK11(sK32(X0),nil)) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_17916]) ).
tcf(c_79511,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(nil,sK11(sK39(X0),nil)) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_17916]) ).
tcf(c_79512,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(nil,sK11(sK38(X0),nil)) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_17916]) ).
tcf(c_79513,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(nil,sK11(sK37(X0),nil)) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_17916]) ).
tcf(c_79514,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(nil,sK11(sK44(X0),nil)) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_17916]) ).
tcf(c_79515,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(nil,sK11(sK43(X0),nil)) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_17916]) ).
tcf(c_79516,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(nil,sK11(sK42(X0),nil)) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_17916]) ).
tcf(c_79517,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(nil,sK11(sK48(X0),nil)) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_17916]) ).
tcf(c_79518,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(nil,sK11(sK47(X0),nil)) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_17916]) ).
tcf(c_79519,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_17916]) ).
tcf(c_79521,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,sK11(sK49(X0),nil)) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_17916]) ).
tcf(c_79522,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,sK11(tl(X0),nil)) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_17916]) ).
tcf(c_79523,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,sK11(sK52(X0),nil)) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_17916]) ).
tcf(c_79533,plain,
( ( nil = sK56 )
| ( app(nil,sK11(tl(sK56),nil)) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15456,c_17916]) ).
tcf(c_79534,plain,
( ( nil = sK59 )
| ( app(nil,sK11(tl(sK59),nil)) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15493,c_17916]) ).
tcf(c_79535,plain,
( ( nil = sK58 )
| ( app(nil,sK11(tl(sK58),nil)) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15877,c_17916]) ).
tcf(c_79540,plain,
app(nil,sK11(cons(sK57,app(sK56,sK56)),nil)) = cons(sK57,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_39016,c_17916]) ).
tcf(c_79541,plain,
app(nil,sK11(cons(sK57,app(sK59,sK56)),nil)) = cons(sK57,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_42723,c_17916]) ).
tcf(c_79542,plain,
app(nil,sK11(cons(sK57,app(sK58,sK56)),nil)) = cons(sK57,app(sK58,sK56)),
inference(superposition,[status(thm)],[c_45988,c_17916]) ).
tcf(c_79543,plain,
app(nil,sK11(cons(sK57,app(sK56,sK59)),nil)) = cons(sK57,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_41916,c_17916]) ).
tcf(c_79544,plain,
app(nil,sK11(cons(sK57,app(sK59,sK59)),nil)) = cons(sK57,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_43373,c_17916]) ).
tcf(c_79545,plain,
app(nil,sK11(cons(sK57,app(sK58,sK59)),nil)) = cons(sK57,app(sK58,sK59)),
inference(superposition,[status(thm)],[c_45985,c_17916]) ).
tcf(c_79546,plain,
app(nil,sK11(cons(sK57,app(sK56,sK58)),nil)) = cons(sK57,app(sK56,sK58)),
inference(superposition,[status(thm)],[c_45632,c_17916]) ).
tcf(c_79547,plain,
app(nil,sK11(cons(sK57,app(sK59,sK58)),nil)) = cons(sK57,app(sK59,sK58)),
inference(superposition,[status(thm)],[c_46645,c_17916]) ).
tcf(c_79548,plain,
app(nil,sK11(cons(sK57,app(sK58,sK58)),nil)) = cons(sK57,app(sK58,sK58)),
inference(superposition,[status(thm)],[c_47111,c_17916]) ).
tcf(c_79549,plain,
( ( app(nil,sK11(app(sK56,app(sK56,sK56)),nil)) = app(sK56,app(sK56,sK56)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_17916]) ).
tcf(c_79550,plain,
( ( app(nil,sK11(app(sK56,app(sK59,sK56)),nil)) = app(sK56,app(sK59,sK56)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_17916]) ).
tcf(c_79551,plain,
( ( app(nil,sK11(app(sK56,app(sK58,sK56)),nil)) = app(sK56,app(sK58,sK56)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_17916]) ).
tcf(c_79552,plain,
( ( app(nil,sK11(app(sK59,app(sK56,sK56)),nil)) = app(sK59,app(sK56,sK56)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_17916]) ).
tcf(c_79553,plain,
( ( app(nil,sK11(app(sK59,app(sK59,sK56)),nil)) = app(sK59,app(sK59,sK56)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_17916]) ).
tcf(c_79554,plain,
( ( app(nil,sK11(app(sK59,app(sK58,sK56)),nil)) = app(sK59,app(sK58,sK56)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_17916]) ).
tcf(c_79555,plain,
( ( app(nil,sK11(app(sK58,app(sK56,sK56)),nil)) = app(sK58,app(sK56,sK56)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_17916]) ).
tcf(c_79556,plain,
( ( app(nil,sK11(app(sK58,app(sK59,sK56)),nil)) = app(sK58,app(sK59,sK56)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_17916]) ).
tcf(c_79557,plain,
( ( app(nil,sK11(app(sK58,app(sK58,sK56)),nil)) = app(sK58,app(sK58,sK56)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_17916]) ).
tcf(c_79558,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_78008,c_17916]) ).
tcf(c_79559,plain,
( ( app(nil,sK11(app(sK56,app(sK56,sK59)),nil)) = app(sK56,app(sK56,sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_75400,c_17916]) ).
tcf(c_79560,plain,
( ( app(nil,sK11(app(sK56,app(sK59,sK59)),nil)) = app(sK56,app(sK59,sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_75782,c_17916]) ).
tcf(c_79561,plain,
( ( app(nil,sK11(app(sK56,app(sK58,sK59)),nil)) = app(sK56,app(sK58,sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_76382,c_17916]) ).
tcf(c_80466,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_73185,c_223]) ).
tcf(c_80467,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_73185,c_212]) ).
tcf(c_80468,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_73185,c_206]) ).
tcf(c_80481,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_80466,c_73182]) ).
tcf(c_80493,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_73203,c_223]) ).
tcf(c_80494,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_73203,c_212]) ).
tcf(c_80495,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_73203,c_206]) ).
tcf(c_80508,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_80493,c_73202]) ).
tcf(c_80543,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_12))
| ~ frontsegP(sK12(iPr_def_12,iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_54270,c_173]) ).
tcf(c_80544,plain,
( ( sK12(iPr_def_12,iPr_def_12) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK12(iPr_def_12,iPr_def_12))
| ~ frontsegP(sK12(iPr_def_12,iPr_def_12),iPr_def_10) ),
inference(superposition,[status(thm)],[c_54270,c_174]) ).
tcf(c_80545,plain,
( ( app(sK12(iPr_def_12,iPr_def_12),sK11(iPr_def_10,sK12(iPr_def_12,iPr_def_12))) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK12(iPr_def_12,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_54270,c_63]) ).
tcf(c_80546,plain,
( ( app(sK12(iPr_def_12,iPr_def_12),sK11(iPr_def_10,sK12(iPr_def_12,iPr_def_12))) = iPr_def_10 )
| ~ ssList(sK12(iPr_def_12,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80545,c_18402]) ).
tcf(c_80549,plain,
( ( sK12(iPr_def_12,iPr_def_12) = iPr_def_10 )
| ~ ssList(sK12(iPr_def_12,iPr_def_12))
| ~ frontsegP(sK12(iPr_def_12,iPr_def_12),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80544,c_18402]) ).
tcf(c_80553,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,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_80543,c_18402]) ).
tcf(c_80562,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_79016,c_228]) ).
tcf(c_80563,plain,
( ( app(nil,sK11(app(sK59,app(sK56,sK59)),nil)) = app(sK59,app(sK56,sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_79016,c_17916]) ).
tcf(c_80564,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_79016,c_17876]) ).
tcf(c_80565,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_79016,c_74603]) ).
tcf(c_80566,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_79016,c_74602]) ).
tcf(c_80567,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_79016,c_23050]) ).
tcf(c_80568,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_79016,c_16754]) ).
tcf(c_80569,plain,
( ( app(app(sK58,app(sK59,app(sK56,sK59))),sK56) = app(sK58,app(app(sK59,app(sK56,sK59)),sK56)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_79016,c_64254]) ).
tcf(c_80570,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_79016,c_64253]) ).
tcf(c_80571,plain,
( ( app(app(sK56,app(sK59,app(sK56,sK59))),sK56) = app(sK56,app(app(sK59,app(sK56,sK59)),sK56)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_79016,c_64252]) ).
tcf(c_80572,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_79016,c_23049]) ).
tcf(c_80573,plain,
( ( hd(app(iPr_def_11,app(sK59,app(sK56,sK59)))) = sK57 )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_79016,c_19361]) ).
tcf(c_80574,plain,
( ( hd(cons(sK60,app(sK59,app(sK56,sK59)))) = sK60 )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_79016,c_19068]) ).
tcf(c_80575,plain,
( ( tl(cons(sK60,app(sK59,app(sK56,sK59)))) = app(sK59,app(sK56,sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_79016,c_19067]) ).
tcf(c_80576,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_79016,c_37537]) ).
tcf(c_80577,plain,
( ( tl(cons(sK7,app(sK59,app(sK56,sK59)))) = app(sK59,app(sK56,sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_79016,c_14098]) ).
tcf(c_80578,plain,
( ( tl(cons(sK6,app(sK59,app(sK56,sK59)))) = app(sK59,app(sK56,sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_79016,c_14097]) ).
tcf(c_80579,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_79016,c_37536]) ).
tcf(c_80580,plain,
( ( hd(cons(sK7,app(sK59,app(sK56,sK59)))) = sK7 )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_79016,c_13924]) ).
tcf(c_80581,plain,
( ( hd(cons(sK6,app(sK59,app(sK56,sK59)))) = sK6 )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_79016,c_13923]) ).
tcf(c_80582,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_79016,c_37535]) ).
tcf(c_80583,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_79016,c_22705]) ).
tcf(c_80584,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_79016,c_21826]) ).
tcf(c_80585,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_79016,c_21825]) ).
tcf(c_80586,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_79016,c_21824]) ).
tcf(c_80587,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_79016,c_124]) ).
tcf(c_80588,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_79016,c_116]) ).
tcf(c_80589,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_79016,c_108]) ).
tcf(c_80590,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK59,app(sK56,sK59)))) = hd(sK58) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_79016,c_19350]) ).
tcf(c_80591,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_79016,c_234]) ).
tcf(c_80592,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK59,app(sK56,sK59)))) = hd(sK59) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_79016,c_19349]) ).
tcf(c_80593,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK59,app(sK56,sK59)))) = hd(sK56) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_79016,c_19348]) ).
tcf(c_80594,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_79016,c_132]) ).
tcf(c_80595,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_79016,c_233]) ).
tcf(c_80596,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_79016,c_224]) ).
tcf(c_80597,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_79016,c_147]) ).
tcf(c_80598,plain,
( ( tl(cons(sK57,app(sK59,app(sK56,sK59)))) = app(sK59,app(sK56,sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_79016,c_14117]) ).
tcf(c_80599,plain,
( ( hd(cons(sK57,app(sK59,app(sK56,sK59)))) = sK57 )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_79016,c_13943]) ).
tcf(c_80600,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_79016,c_222]) ).
tcf(c_80601,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_79016,c_220]) ).
tcf(c_80602,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_79016,c_123]) ).
tcf(c_80603,plain,
( ( app(app(sK59,app(sK56,sK59)),nil) = app(sK59,app(sK56,sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_79016,c_232]) ).
tcf(c_80604,plain,
( ( app(nil,app(sK59,app(sK56,sK59))) = app(sK59,app(sK56,sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_79016,c_155]) ).
tcf(c_80885,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_78649,c_67]) ).
tcf(c_80888,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_78649,c_167]) ).
tcf(c_80889,plain,
( ( app(sK59,sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_78649,c_231]) ).
tcf(c_80890,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_78649,c_230]) ).
tcf(c_80891,plain,
( frontsegP(app(sK59,app(sK59,sK59)),app(sK59,sK59))
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_78649,c_386]) ).
tcf(c_80892,plain,
( rearsegP(app(sK59,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_78649,c_383]) ).
tcf(c_80893,plain,
( ssList(app(sK59,app(sK59,sK59)))
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_78649,c_153]) ).
tcf(c_80894,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_78649,c_225]) ).
tcf(c_80895,plain,
( segmentP(app(sK59,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(app(app(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_78649,c_67]) ).
tcf(c_80896,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_78649,c_226]) ).
tcf(c_80897,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_78649,c_176]) ).
tcf(c_80898,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_78649,c_165]) ).
tcf(c_80899,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_78649,c_193]) ).
tcf(c_80900,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_78649,c_186]) ).
tcf(c_80901,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_78649,c_166]) ).
tcf(c_80902,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_78649,c_193]) ).
tcf(c_80903,plain,
( ( app(sK59,sK59) = iPr_def_11 )
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_78649,c_42707]) ).
tcf(c_80904,plain,
( ( app(sK59,sK59) = iPr_def_12 )
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_78649,c_25424]) ).
tcf(c_80905,plain,
( ( app(sK59,sK59) = nil )
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_78649,c_25408]) ).
tcf(c_80906,plain,
( ssList(app(sK59,app(sK59,sK59)))
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80893,c_9003]) ).
tcf(c_80909,plain,
( rearsegP(app(sK59,app(sK59,sK59)),sK59)
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80892,c_9003]) ).
tcf(c_80912,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80902,c_9003]) ).
tcf(c_80916,plain,
( segmentP(app(sK59,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(app(sK59,app(sK59,sK59))) ),
inference(light_normalisation,[status(thm)],[c_80895,c_78649]) ).
tcf(c_80917,plain,
( segmentP(app(sK59,app(sK59,sK59)),sK59)
| ~ ssList(app(sK59,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80916,c_9003]) ).
tcf(c_80920,plain,
( frontsegP(app(sK59,app(sK59,sK59)),app(sK59,sK59))
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80891,c_9003]) ).
tcf(c_80929,plain,
( ( nil = sK59 )
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80890,c_9003]) ).
tcf(c_80936,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_80901,c_9003]) ).
tcf(c_80941,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_80900,c_9003]) ).
tcf(c_80946,plain,
( ( app(sK59,sK59) = nil )
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80889,c_9003]) ).
tcf(c_80950,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_80898,c_9003]) ).
tcf(c_80955,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_80897,c_9003]) ).
tcf(c_80960,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_80899,c_9003]) ).
tcf(c_80966,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_80888,c_9003]) ).
tcf(c_80972,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_80896,c_9003]) ).
tcf(c_80977,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_80894,c_9003]) ).
tcf(c_80982,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_80885,c_78649]) ).
tcf(c_80983,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_80982,c_9003]) ).
tcf(c_81097,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_80906,c_228]) ).
tcf(c_81098,plain,
( ( app(nil,sK11(app(sK59,app(sK59,sK59)),nil)) = app(sK59,app(sK59,sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_80906,c_17916]) ).
tcf(c_81099,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_80906,c_17876]) ).
tcf(c_81100,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_80906,c_74603]) ).
tcf(c_81101,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_80906,c_74602]) ).
tcf(c_81102,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_80906,c_23050]) ).
tcf(c_81103,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_80906,c_16754]) ).
tcf(c_81104,plain,
( ( app(app(sK58,app(sK59,app(sK59,sK59))),sK56) = app(sK58,app(app(sK59,app(sK59,sK59)),sK56)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_80906,c_64254]) ).
tcf(c_81105,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_80906,c_64253]) ).
tcf(c_81106,plain,
( ( app(app(sK56,app(sK59,app(sK59,sK59))),sK56) = app(sK56,app(app(sK59,app(sK59,sK59)),sK56)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_80906,c_64252]) ).
tcf(c_81107,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_80906,c_23049]) ).
tcf(c_81108,plain,
( ( hd(app(iPr_def_11,app(sK59,app(sK59,sK59)))) = sK57 )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_80906,c_19361]) ).
tcf(c_81109,plain,
( ( hd(cons(sK60,app(sK59,app(sK59,sK59)))) = sK60 )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_80906,c_19068]) ).
tcf(c_81110,plain,
( ( tl(cons(sK60,app(sK59,app(sK59,sK59)))) = app(sK59,app(sK59,sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_80906,c_19067]) ).
tcf(c_81111,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_80906,c_37537]) ).
tcf(c_81112,plain,
( ( tl(cons(sK7,app(sK59,app(sK59,sK59)))) = app(sK59,app(sK59,sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_80906,c_14098]) ).
tcf(c_81113,plain,
( ( tl(cons(sK6,app(sK59,app(sK59,sK59)))) = app(sK59,app(sK59,sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_80906,c_14097]) ).
tcf(c_81114,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_80906,c_37536]) ).
tcf(c_81115,plain,
( ( hd(cons(sK7,app(sK59,app(sK59,sK59)))) = sK7 )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_80906,c_13924]) ).
tcf(c_81116,plain,
( ( hd(cons(sK6,app(sK59,app(sK59,sK59)))) = sK6 )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_80906,c_13923]) ).
tcf(c_81117,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_80906,c_37535]) ).
tcf(c_81118,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_80906,c_22705]) ).
tcf(c_81119,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_80906,c_21826]) ).
tcf(c_81120,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_80906,c_21825]) ).
tcf(c_81121,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_80906,c_21824]) ).
tcf(c_81122,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_80906,c_124]) ).
tcf(c_81123,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_80906,c_116]) ).
tcf(c_81124,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_80906,c_108]) ).
tcf(c_81125,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK59,app(sK59,sK59)))) = hd(sK58) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_80906,c_19350]) ).
tcf(c_81126,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_80906,c_234]) ).
tcf(c_81127,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK59,app(sK59,sK59)))) = hd(sK59) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_80906,c_19349]) ).
tcf(c_81128,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK59,app(sK59,sK59)))) = hd(sK56) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_80906,c_19348]) ).
tcf(c_81129,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_80906,c_132]) ).
tcf(c_81130,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_80906,c_233]) ).
tcf(c_81131,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_80906,c_224]) ).
tcf(c_81132,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_80906,c_147]) ).
tcf(c_81133,plain,
( ( tl(cons(sK57,app(sK59,app(sK59,sK59)))) = app(sK59,app(sK59,sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_80906,c_14117]) ).
tcf(c_81134,plain,
( ( hd(cons(sK57,app(sK59,app(sK59,sK59)))) = sK57 )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_80906,c_13943]) ).
tcf(c_81135,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_80906,c_222]) ).
tcf(c_81136,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_80906,c_220]) ).
tcf(c_81137,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_80906,c_123]) ).
tcf(c_81138,plain,
( ( app(app(sK59,app(sK59,sK59)),nil) = app(sK59,app(sK59,sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_80906,c_232]) ).
tcf(c_81139,plain,
( ( app(nil,app(sK59,app(sK59,sK59))) = app(sK59,app(sK59,sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_80906,c_155]) ).
tcf(c_81425,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_78650,c_67]) ).
tcf(c_81428,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_78650,c_167]) ).
tcf(c_81429,plain,
( ( app(sK59,sK58) = nil )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_78650,c_231]) ).
tcf(c_81430,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_78650,c_230]) ).
tcf(c_81431,plain,
( frontsegP(app(sK59,app(sK58,sK59)),app(sK59,sK58))
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_78650,c_386]) ).
tcf(c_81432,plain,
( rearsegP(app(sK59,app(sK58,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_78650,c_383]) ).
tcf(c_81433,plain,
( ssList(app(sK59,app(sK58,sK59)))
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_78650,c_153]) ).
tcf(c_81434,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_78650,c_225]) ).
tcf(c_81435,plain,
( segmentP(app(sK59,app(sK58,sK59)),sK58)
| ~ ssList(sK58)
| ~ ssList(sK59)
| ~ ssList(app(app(sK59,sK58),sK59)) ),
inference(superposition,[status(thm)],[c_78650,c_67]) ).
tcf(c_81436,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_78650,c_226]) ).
tcf(c_81437,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_78650,c_176]) ).
tcf(c_81438,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_78650,c_165]) ).
tcf(c_81439,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_78650,c_193]) ).
tcf(c_81440,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_78650,c_186]) ).
tcf(c_81441,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_78650,c_166]) ).
tcf(c_81442,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK58,sK59)),X0)
| ~ ssList(sK58)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_78650,c_193]) ).
tcf(c_81443,plain,
( ( app(sK59,sK58) = iPr_def_11 )
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_78650,c_42707]) ).
tcf(c_81444,plain,
( ( app(sK59,sK58) = iPr_def_12 )
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_78650,c_25424]) ).
tcf(c_81445,plain,
( ( app(sK59,sK58) = nil )
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_78650,c_25408]) ).
tcf(c_81446,plain,
( ssList(app(sK59,app(sK58,sK59)))
| ~ ssList(app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81433,c_9003]) ).
tcf(c_81449,plain,
( rearsegP(app(sK59,app(sK58,sK59)),sK59)
| ~ ssList(app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81432,c_9003]) ).
tcf(c_81452,plain,
( frontsegP(app(sK59,app(sK58,sK59)),app(sK59,sK58))
| ~ ssList(app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81431,c_9003]) ).
tcf(c_81461,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK58,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81442,c_9000,c_9003]) ).
tcf(c_81465,plain,
( segmentP(app(sK59,app(sK58,sK59)),sK58)
| ~ ssList(sK58)
| ~ ssList(sK59)
| ~ ssList(app(sK59,app(sK58,sK59))) ),
inference(light_normalisation,[status(thm)],[c_81435,c_78650]) ).
tcf(c_81466,plain,
( segmentP(app(sK59,app(sK58,sK59)),sK58)
| ~ ssList(app(sK59,app(sK58,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81465,c_9000,c_9003]) ).
tcf(c_81469,plain,
( ( nil = sK59 )
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81430,c_9003]) ).
tcf(c_81476,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_81441,c_9003]) ).
tcf(c_81481,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_81440,c_9003]) ).
tcf(c_81486,plain,
( ( app(sK59,sK58) = nil )
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81429,c_9003]) ).
tcf(c_81490,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_81438,c_9003]) ).
tcf(c_81495,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_81437,c_9003]) ).
tcf(c_81500,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_81439,c_9003]) ).
tcf(c_81506,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_81428,c_9003]) ).
tcf(c_81512,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_81436,c_9003]) ).
tcf(c_81517,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_81434,c_9003]) ).
tcf(c_81522,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_81425,c_78650]) ).
tcf(c_81523,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_81522,c_9003]) ).
tcf(c_81579,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_81446,c_228]) ).
tcf(c_81580,plain,
( ( app(nil,sK11(app(sK59,app(sK58,sK59)),nil)) = app(sK59,app(sK58,sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_81446,c_17916]) ).
tcf(c_81581,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_81446,c_17876]) ).
tcf(c_81582,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_81446,c_74603]) ).
tcf(c_81583,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_81446,c_74602]) ).
tcf(c_81584,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_81446,c_23050]) ).
tcf(c_81585,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_81446,c_16754]) ).
tcf(c_81586,plain,
( ( app(app(sK58,app(sK59,app(sK58,sK59))),sK56) = app(sK58,app(app(sK59,app(sK58,sK59)),sK56)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_81446,c_64254]) ).
tcf(c_81587,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_81446,c_64253]) ).
tcf(c_81588,plain,
( ( app(app(sK56,app(sK59,app(sK58,sK59))),sK56) = app(sK56,app(app(sK59,app(sK58,sK59)),sK56)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_81446,c_64252]) ).
tcf(c_81589,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_81446,c_23049]) ).
tcf(c_81590,plain,
( ( hd(app(iPr_def_11,app(sK59,app(sK58,sK59)))) = sK57 )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_81446,c_19361]) ).
tcf(c_81591,plain,
( ( hd(cons(sK60,app(sK59,app(sK58,sK59)))) = sK60 )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_81446,c_19068]) ).
tcf(c_81592,plain,
( ( tl(cons(sK60,app(sK59,app(sK58,sK59)))) = app(sK59,app(sK58,sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_81446,c_19067]) ).
tcf(c_81593,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_81446,c_37537]) ).
tcf(c_81594,plain,
( ( tl(cons(sK7,app(sK59,app(sK58,sK59)))) = app(sK59,app(sK58,sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_81446,c_14098]) ).
tcf(c_81595,plain,
( ( tl(cons(sK6,app(sK59,app(sK58,sK59)))) = app(sK59,app(sK58,sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_81446,c_14097]) ).
tcf(c_81596,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_81446,c_37536]) ).
tcf(c_81597,plain,
( ( hd(cons(sK7,app(sK59,app(sK58,sK59)))) = sK7 )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_81446,c_13924]) ).
tcf(c_81598,plain,
( ( hd(cons(sK6,app(sK59,app(sK58,sK59)))) = sK6 )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_81446,c_13923]) ).
tcf(c_81599,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_81446,c_37535]) ).
tcf(c_81600,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_81446,c_22705]) ).
tcf(c_81601,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_81446,c_21826]) ).
tcf(c_81602,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_81446,c_21825]) ).
tcf(c_81603,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_81446,c_21824]) ).
tcf(c_81604,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_81446,c_124]) ).
tcf(c_81605,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_81446,c_116]) ).
tcf(c_81606,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_81446,c_108]) ).
tcf(c_81607,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK59,app(sK58,sK59)))) = hd(sK58) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_81446,c_19350]) ).
tcf(c_81608,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_81446,c_234]) ).
tcf(c_81609,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK59,app(sK58,sK59)))) = hd(sK59) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_81446,c_19349]) ).
tcf(c_81610,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK59,app(sK58,sK59)))) = hd(sK56) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_81446,c_19348]) ).
tcf(c_81611,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_81446,c_132]) ).
tcf(c_81612,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_81446,c_233]) ).
tcf(c_81613,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_81446,c_224]) ).
tcf(c_81614,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_81446,c_147]) ).
tcf(c_81615,plain,
( ( tl(cons(sK57,app(sK59,app(sK58,sK59)))) = app(sK59,app(sK58,sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_81446,c_14117]) ).
tcf(c_81616,plain,
( ( hd(cons(sK57,app(sK59,app(sK58,sK59)))) = sK57 )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_81446,c_13943]) ).
tcf(c_81617,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_81446,c_222]) ).
tcf(c_81618,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_81446,c_220]) ).
tcf(c_81619,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_81446,c_123]) ).
tcf(c_81620,plain,
( ( app(app(sK59,app(sK58,sK59)),nil) = app(sK59,app(sK58,sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_81446,c_232]) ).
tcf(c_81621,plain,
( ( app(nil,app(sK59,app(sK58,sK59))) = app(sK59,app(sK58,sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_81446,c_155]) ).
tcf(c_81779,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_79019,c_183]) ).
tcf(c_81780,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_79019,c_184]) ).
tcf(c_81781,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_79019,c_66]) ).
tcf(c_81783,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_81781,c_9003]) ).
tcf(c_81787,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_81780,c_9003]) ).
tcf(c_81796,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_80909,c_183]) ).
tcf(c_81797,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_80909,c_184]) ).
tcf(c_81798,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_80909,c_66]) ).
tcf(c_81800,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_81798,c_9003]) ).
tcf(c_81804,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_81797,c_9003]) ).
tcf(c_81850,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_81449,c_183]) ).
tcf(c_81851,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_81449,c_184]) ).
tcf(c_81852,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_81449,c_66]) ).
tcf(c_81854,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_81852,c_9003]) ).
tcf(c_81858,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_81851,c_9003]) ).
tcf(c_81869,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( app(sK56,iPr_def_12) = nil )
| ( app(sK56,iPr_def_12) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK56,iPr_def_12))
| ( hd(X0) != hd(sK56) )
| ( tl(app(sK56,iPr_def_12)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_20663,c_223]) ).
tcf(c_81870,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK56,iPr_def_12)))
| ( nil = sK56 )
| ( app(sK56,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sK56,iPr_def_12))
| ~ ssList(app(sK56,iPr_def_12))
| ~ lt(X0,hd(sK56)) ),
inference(superposition,[status(thm)],[c_20663,c_212]) ).
tcf(c_81871,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK56,iPr_def_12)))
| ( nil = sK56 )
| ( app(sK56,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sK56,iPr_def_12))
| ~ ssList(app(sK56,iPr_def_12))
| ~ leq(X0,hd(sK56)) ),
inference(superposition,[status(thm)],[c_20663,c_206]) ).
tcf(c_81900,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_18447]) ).
tcf(c_81901,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_18447]) ).
tcf(c_81902,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_18447]) ).
tcf(c_81903,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_18447]) ).
tcf(c_81904,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_18447]) ).
tcf(c_81905,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_18447]) ).
tcf(c_81906,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_18447]) ).
tcf(c_81916,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK12(sK34(X0),sK34(X0)),sK34(X0)) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_18447]) ).
tcf(c_81917,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK12(sK33(X0),sK33(X0)),sK33(X0)) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_18447]) ).
tcf(c_81918,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK12(sK32(X0),sK32(X0)),sK32(X0)) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_18447]) ).
tcf(c_81919,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK12(sK39(X0),sK39(X0)),sK39(X0)) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_18447]) ).
tcf(c_81920,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK12(sK38(X0),sK38(X0)),sK38(X0)) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_18447]) ).
tcf(c_81921,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK12(sK37(X0),sK37(X0)),sK37(X0)) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_18447]) ).
tcf(c_81922,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK12(sK44(X0),sK44(X0)),sK44(X0)) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_18447]) ).
tcf(c_81923,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK12(sK43(X0),sK43(X0)),sK43(X0)) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_18447]) ).
tcf(c_81924,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK12(sK42(X0),sK42(X0)),sK42(X0)) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_18447]) ).
tcf(c_81925,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(sK12(sK48(X0),sK48(X0)),sK48(X0)) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_18447]) ).
tcf(c_81926,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(sK12(sK47(X0),sK47(X0)),sK47(X0)) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_18447]) ).
tcf(c_81927,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_18447]) ).
tcf(c_81929,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(sK12(sK49(X0),sK49(X0)),sK49(X0)) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_18447]) ).
tcf(c_81930,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(sK12(tl(X0),tl(X0)),tl(X0)) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_18447]) ).
tcf(c_81931,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(sK12(sK52(X0),sK52(X0)),sK52(X0)) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_18447]) ).
tcf(c_81941,plain,
( ( nil = sK56 )
| ( app(sK12(tl(sK56),tl(sK56)),tl(sK56)) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15456,c_18447]) ).
tcf(c_81942,plain,
( ( nil = sK59 )
| ( app(sK12(tl(sK59),tl(sK59)),tl(sK59)) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15493,c_18447]) ).
tcf(c_81943,plain,
( ( nil = sK58 )
| ( app(sK12(tl(sK58),tl(sK58)),tl(sK58)) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15877,c_18447]) ).
tcf(c_81948,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_39016,c_18447]) ).
tcf(c_81949,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_42723,c_18447]) ).
tcf(c_81950,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_45988,c_18447]) ).
tcf(c_81951,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_41916,c_18447]) ).
tcf(c_81952,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_43373,c_18447]) ).
tcf(c_81953,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_45985,c_18447]) ).
tcf(c_81954,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_45632,c_18447]) ).
tcf(c_81955,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_46645,c_18447]) ).
tcf(c_81956,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_47111,c_18447]) ).
tcf(c_81957,plain,
( ( app(sK12(app(sK56,app(sK56,sK56)),app(sK56,app(sK56,sK56))),app(sK56,app(sK56,sK56))) = app(sK56,app(sK56,sK56)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_18447]) ).
tcf(c_81958,plain,
( ( app(sK12(app(sK56,app(sK59,sK56)),app(sK56,app(sK59,sK56))),app(sK56,app(sK59,sK56))) = app(sK56,app(sK59,sK56)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_18447]) ).
tcf(c_81959,plain,
( ( app(sK12(app(sK56,app(sK58,sK56)),app(sK56,app(sK58,sK56))),app(sK56,app(sK58,sK56))) = app(sK56,app(sK58,sK56)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_18447]) ).
tcf(c_81960,plain,
( ( app(sK12(app(sK59,app(sK56,sK56)),app(sK59,app(sK56,sK56))),app(sK59,app(sK56,sK56))) = app(sK59,app(sK56,sK56)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_18447]) ).
tcf(c_81961,plain,
( ( app(sK12(app(sK59,app(sK59,sK56)),app(sK59,app(sK59,sK56))),app(sK59,app(sK59,sK56))) = app(sK59,app(sK59,sK56)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_18447]) ).
tcf(c_81962,plain,
( ( app(sK12(app(sK59,app(sK58,sK56)),app(sK59,app(sK58,sK56))),app(sK59,app(sK58,sK56))) = app(sK59,app(sK58,sK56)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_18447]) ).
tcf(c_81963,plain,
( ( app(sK12(app(sK58,app(sK56,sK56)),app(sK58,app(sK56,sK56))),app(sK58,app(sK56,sK56))) = app(sK58,app(sK56,sK56)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_18447]) ).
tcf(c_81964,plain,
( ( app(sK12(app(sK58,app(sK59,sK56)),app(sK58,app(sK59,sK56))),app(sK58,app(sK59,sK56))) = app(sK58,app(sK59,sK56)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_18447]) ).
tcf(c_81965,plain,
( ( app(sK12(app(sK58,app(sK58,sK56)),app(sK58,app(sK58,sK56))),app(sK58,app(sK58,sK56))) = app(sK58,app(sK58,sK56)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_18447]) ).
tcf(c_81966,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_78008,c_18447]) ).
tcf(c_81967,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_75400,c_18447]) ).
tcf(c_81968,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_75782,c_18447]) ).
tcf(c_81969,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_76382,c_18447]) ).
tcf(c_81970,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_79016,c_18447]) ).
tcf(c_81971,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_80906,c_18447]) ).
tcf(c_81972,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_81446,c_18447]) ).
tcf(c_82253,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_18475]) ).
tcf(c_82254,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_18475]) ).
tcf(c_82255,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_18475]) ).
tcf(c_82256,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_18475]) ).
tcf(c_82257,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_18475]) ).
tcf(c_82258,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_18475]) ).
tcf(c_82259,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_18475]) ).
tcf(c_82269,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK12(sK34(X0),nil),nil) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_18475]) ).
tcf(c_82270,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK12(sK33(X0),nil),nil) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_18475]) ).
tcf(c_82271,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK12(sK32(X0),nil),nil) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_18475]) ).
tcf(c_82272,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK12(sK39(X0),nil),nil) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_18475]) ).
tcf(c_82273,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK12(sK38(X0),nil),nil) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_18475]) ).
tcf(c_82274,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK12(sK37(X0),nil),nil) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_18475]) ).
tcf(c_82275,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK12(sK44(X0),nil),nil) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_18475]) ).
tcf(c_82276,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK12(sK43(X0),nil),nil) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_18475]) ).
tcf(c_82277,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK12(sK42(X0),nil),nil) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_18475]) ).
tcf(c_82278,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(sK12(sK48(X0),nil),nil) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_18475]) ).
tcf(c_82279,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(sK12(sK47(X0),nil),nil) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_18475]) ).
tcf(c_82280,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_18475]) ).
tcf(c_82282,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(sK12(sK49(X0),nil),nil) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_18475]) ).
tcf(c_82283,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(sK12(tl(X0),nil),nil) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_18475]) ).
tcf(c_82284,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(sK12(sK52(X0),nil),nil) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_18475]) ).
tcf(c_82294,plain,
( ( nil = sK56 )
| ( app(sK12(tl(sK56),nil),nil) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15456,c_18475]) ).
tcf(c_82295,plain,
( ( nil = sK59 )
| ( app(sK12(tl(sK59),nil),nil) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15493,c_18475]) ).
tcf(c_82296,plain,
( ( nil = sK58 )
| ( app(sK12(tl(sK58),nil),nil) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15877,c_18475]) ).
tcf(c_82301,plain,
app(sK12(cons(sK57,app(sK56,sK56)),nil),nil) = cons(sK57,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_39016,c_18475]) ).
tcf(c_82302,plain,
app(sK12(cons(sK57,app(sK59,sK56)),nil),nil) = cons(sK57,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_42723,c_18475]) ).
tcf(c_82303,plain,
app(sK12(cons(sK57,app(sK58,sK56)),nil),nil) = cons(sK57,app(sK58,sK56)),
inference(superposition,[status(thm)],[c_45988,c_18475]) ).
tcf(c_82304,plain,
app(sK12(cons(sK57,app(sK56,sK59)),nil),nil) = cons(sK57,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_41916,c_18475]) ).
tcf(c_82305,plain,
app(sK12(cons(sK57,app(sK59,sK59)),nil),nil) = cons(sK57,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_43373,c_18475]) ).
tcf(c_82306,plain,
app(sK12(cons(sK57,app(sK58,sK59)),nil),nil) = cons(sK57,app(sK58,sK59)),
inference(superposition,[status(thm)],[c_45985,c_18475]) ).
tcf(c_82307,plain,
app(sK12(cons(sK57,app(sK56,sK58)),nil),nil) = cons(sK57,app(sK56,sK58)),
inference(superposition,[status(thm)],[c_45632,c_18475]) ).
tcf(c_82308,plain,
app(sK12(cons(sK57,app(sK59,sK58)),nil),nil) = cons(sK57,app(sK59,sK58)),
inference(superposition,[status(thm)],[c_46645,c_18475]) ).
tcf(c_82309,plain,
app(sK12(cons(sK57,app(sK58,sK58)),nil),nil) = cons(sK57,app(sK58,sK58)),
inference(superposition,[status(thm)],[c_47111,c_18475]) ).
tcf(c_82310,plain,
( ( app(sK12(app(sK56,app(sK56,sK56)),nil),nil) = app(sK56,app(sK56,sK56)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_18475]) ).
tcf(c_82311,plain,
( ( app(sK12(app(sK56,app(sK59,sK56)),nil),nil) = app(sK56,app(sK59,sK56)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_18475]) ).
tcf(c_82312,plain,
( ( app(sK12(app(sK56,app(sK58,sK56)),nil),nil) = app(sK56,app(sK58,sK56)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_18475]) ).
tcf(c_82313,plain,
( ( app(sK12(app(sK59,app(sK56,sK56)),nil),nil) = app(sK59,app(sK56,sK56)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_18475]) ).
tcf(c_82314,plain,
( ( app(sK12(app(sK59,app(sK59,sK56)),nil),nil) = app(sK59,app(sK59,sK56)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_18475]) ).
tcf(c_82315,plain,
( ( app(sK12(app(sK59,app(sK58,sK56)),nil),nil) = app(sK59,app(sK58,sK56)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_18475]) ).
tcf(c_82316,plain,
( ( app(sK12(app(sK58,app(sK56,sK56)),nil),nil) = app(sK58,app(sK56,sK56)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_18475]) ).
tcf(c_82317,plain,
( ( app(sK12(app(sK58,app(sK59,sK56)),nil),nil) = app(sK58,app(sK59,sK56)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_18475]) ).
tcf(c_82318,plain,
( ( app(sK12(app(sK58,app(sK58,sK56)),nil),nil) = app(sK58,app(sK58,sK56)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_18475]) ).
tcf(c_82319,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_78008,c_18475]) ).
tcf(c_82320,plain,
( ( app(sK12(app(sK56,app(sK56,sK59)),nil),nil) = app(sK56,app(sK56,sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_75400,c_18475]) ).
tcf(c_82321,plain,
( ( app(sK12(app(sK56,app(sK59,sK59)),nil),nil) = app(sK56,app(sK59,sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_75782,c_18475]) ).
tcf(c_82322,plain,
( ( app(sK12(app(sK56,app(sK58,sK59)),nil),nil) = app(sK56,app(sK58,sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_76382,c_18475]) ).
tcf(c_82323,plain,
( ( app(sK12(app(sK59,app(sK56,sK59)),nil),nil) = app(sK59,app(sK56,sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_79016,c_18475]) ).
tcf(c_82324,plain,
( ( app(sK12(app(sK59,app(sK59,sK59)),nil),nil) = app(sK59,app(sK59,sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_80906,c_18475]) ).
tcf(c_82325,plain,
( ( app(sK12(app(sK59,app(sK58,sK59)),nil),nil) = app(sK59,app(sK58,sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_81446,c_18475]) ).
tcf(c_82693,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_19073]) ).
tcf(c_82694,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_19073]) ).
tcf(c_82695,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_19073]) ).
tcf(c_82696,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_19073]) ).
tcf(c_82697,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_19073]) ).
tcf(c_82698,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_19073]) ).
tcf(c_82699,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_19073]) ).
tcf(c_82709,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( cons(sK60,sK34(X0)) = app(iPr_def_10,sK34(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_19073]) ).
tcf(c_82710,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( cons(sK60,sK33(X0)) = app(iPr_def_10,sK33(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_19073]) ).
tcf(c_82711,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( cons(sK60,sK32(X0)) = app(iPr_def_10,sK32(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_19073]) ).
tcf(c_82712,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( cons(sK60,sK39(X0)) = app(iPr_def_10,sK39(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_19073]) ).
tcf(c_82713,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( cons(sK60,sK38(X0)) = app(iPr_def_10,sK38(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_19073]) ).
tcf(c_82714,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( cons(sK60,sK37(X0)) = app(iPr_def_10,sK37(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_19073]) ).
tcf(c_82715,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( cons(sK60,sK44(X0)) = app(iPr_def_10,sK44(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_19073]) ).
tcf(c_82716,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( cons(sK60,sK43(X0)) = app(iPr_def_10,sK43(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_19073]) ).
tcf(c_82717,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( cons(sK60,sK42(X0)) = app(iPr_def_10,sK42(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_19073]) ).
tcf(c_82718,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( cons(sK60,sK48(X0)) = app(iPr_def_10,sK48(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_19073]) ).
tcf(c_82719,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( cons(sK60,sK47(X0)) = app(iPr_def_10,sK47(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_19073]) ).
tcf(c_82720,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_19073]) ).
tcf(c_82721,plain,
cons(sK60,nil) = app(iPr_def_10,nil),
inference(superposition,[status(thm)],[c_141,c_19073]) ).
tcf(c_82722,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,sK49(X0)) = app(iPr_def_10,sK49(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_19073]) ).
tcf(c_82723,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,tl(X0)) = app(iPr_def_10,tl(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_19073]) ).
tcf(c_82724,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,sK52(X0)) = app(iPr_def_10,sK52(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_19073]) ).
tcf(c_82725,plain,
cons(sK60,sK56) = app(iPr_def_10,sK56),
inference(superposition,[status(thm)],[c_9004,c_19073]) ).
tcf(c_82726,plain,
cons(sK60,sK59) = app(iPr_def_10,sK59),
inference(superposition,[status(thm)],[c_9003,c_19073]) ).
tcf(c_82727,plain,
cons(sK60,sK58) = app(iPr_def_10,sK58),
inference(superposition,[status(thm)],[c_9000,c_19073]) ).
tcf(c_82728,plain,
cons(sK60,iPr_def_12) = app(iPr_def_10,iPr_def_12),
inference(superposition,[status(thm)],[c_12995,c_19073]) ).
tcf(c_82729,plain,
cons(sK60,iPr_def_11) = app(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_12859,c_19073]) ).
tcf(c_82730,plain,
cons(sK60,iPr_def_10) = app(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_18402,c_19073]) ).
tcf(c_82731,plain,
cons(sK60,cons(sK57,sK56)) = app(iPr_def_10,cons(sK57,sK56)),
inference(superposition,[status(thm)],[c_38969,c_19073]) ).
tcf(c_82732,plain,
cons(sK60,cons(sK57,sK59)) = app(iPr_def_10,cons(sK57,sK59)),
inference(superposition,[status(thm)],[c_42671,c_19073]) ).
tcf(c_82733,plain,
cons(sK60,cons(sK57,sK58)) = app(iPr_def_10,cons(sK57,sK58)),
inference(superposition,[status(thm)],[c_45936,c_19073]) ).
tcf(c_82734,plain,
( ( nil = sK56 )
| ( cons(sK60,tl(sK56)) = app(iPr_def_10,tl(sK56)) ) ),
inference(superposition,[status(thm)],[c_15456,c_19073]) ).
tcf(c_82735,plain,
( ( nil = sK59 )
| ( cons(sK60,tl(sK59)) = app(iPr_def_10,tl(sK59)) ) ),
inference(superposition,[status(thm)],[c_15493,c_19073]) ).
tcf(c_82736,plain,
( ( nil = sK58 )
| ( cons(sK60,tl(sK58)) = app(iPr_def_10,tl(sK58)) ) ),
inference(superposition,[status(thm)],[c_15877,c_19073]) ).
tcf(c_82737,plain,
cons(sK60,tl(iPr_def_12)) = app(iPr_def_10,tl(iPr_def_12)),
inference(superposition,[status(thm)],[c_19130,c_19073]) ).
tcf(c_82738,plain,
cons(sK60,cons(sK57,iPr_def_12)) = app(iPr_def_10,cons(sK57,iPr_def_12)),
inference(superposition,[status(thm)],[c_71102,c_19073]) ).
tcf(c_82739,plain,
cons(sK60,cons(sK57,iPr_def_11)) = app(iPr_def_10,cons(sK57,iPr_def_11)),
inference(superposition,[status(thm)],[c_72649,c_19073]) ).
tcf(c_82740,plain,
cons(sK60,cons(sK57,iPr_def_10)) = app(iPr_def_10,cons(sK57,iPr_def_10)),
inference(superposition,[status(thm)],[c_61331,c_19073]) ).
tcf(c_82741,plain,
cons(sK60,cons(sK57,app(sK56,sK56))) = app(iPr_def_10,cons(sK57,app(sK56,sK56))),
inference(superposition,[status(thm)],[c_39016,c_19073]) ).
tcf(c_82742,plain,
cons(sK60,cons(sK57,app(sK59,sK56))) = app(iPr_def_10,cons(sK57,app(sK59,sK56))),
inference(superposition,[status(thm)],[c_42723,c_19073]) ).
tcf(c_82743,plain,
cons(sK60,cons(sK57,app(sK58,sK56))) = app(iPr_def_10,cons(sK57,app(sK58,sK56))),
inference(superposition,[status(thm)],[c_45988,c_19073]) ).
tcf(c_82744,plain,
cons(sK60,cons(sK57,app(sK56,sK59))) = app(iPr_def_10,cons(sK57,app(sK56,sK59))),
inference(superposition,[status(thm)],[c_41916,c_19073]) ).
tcf(c_82745,plain,
cons(sK60,cons(sK57,app(sK59,sK59))) = app(iPr_def_10,cons(sK57,app(sK59,sK59))),
inference(superposition,[status(thm)],[c_43373,c_19073]) ).
tcf(c_82746,plain,
cons(sK60,cons(sK57,app(sK58,sK59))) = app(iPr_def_10,cons(sK57,app(sK58,sK59))),
inference(superposition,[status(thm)],[c_45985,c_19073]) ).
tcf(c_82747,plain,
cons(sK60,cons(sK57,app(sK56,sK58))) = app(iPr_def_10,cons(sK57,app(sK56,sK58))),
inference(superposition,[status(thm)],[c_45632,c_19073]) ).
tcf(c_82748,plain,
cons(sK60,cons(sK57,app(sK59,sK58))) = app(iPr_def_10,cons(sK57,app(sK59,sK58))),
inference(superposition,[status(thm)],[c_46645,c_19073]) ).
tcf(c_82749,plain,
cons(sK60,cons(sK57,app(sK58,sK58))) = app(iPr_def_10,cons(sK57,app(sK58,sK58))),
inference(superposition,[status(thm)],[c_47111,c_19073]) ).
tcf(c_82750,plain,
( ( cons(sK60,app(sK56,app(sK56,sK56))) = app(iPr_def_10,app(sK56,app(sK56,sK56))) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_19073]) ).
tcf(c_82751,plain,
( ( cons(sK60,app(sK56,app(sK59,sK56))) = app(iPr_def_10,app(sK56,app(sK59,sK56))) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_19073]) ).
tcf(c_82752,plain,
( ( cons(sK60,app(sK56,app(sK58,sK56))) = app(iPr_def_10,app(sK56,app(sK58,sK56))) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_19073]) ).
tcf(c_82753,plain,
( ( cons(sK60,app(sK59,app(sK56,sK56))) = app(iPr_def_10,app(sK59,app(sK56,sK56))) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_19073]) ).
tcf(c_82754,plain,
( ( cons(sK60,app(sK59,app(sK59,sK56))) = app(iPr_def_10,app(sK59,app(sK59,sK56))) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_19073]) ).
tcf(c_82755,plain,
( ( cons(sK60,app(sK59,app(sK58,sK56))) = app(iPr_def_10,app(sK59,app(sK58,sK56))) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_19073]) ).
tcf(c_82756,plain,
( ( cons(sK60,app(sK58,app(sK56,sK56))) = app(iPr_def_10,app(sK58,app(sK56,sK56))) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_19073]) ).
tcf(c_82757,plain,
( ( cons(sK60,app(sK58,app(sK59,sK56))) = app(iPr_def_10,app(sK58,app(sK59,sK56))) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_19073]) ).
tcf(c_82758,plain,
( ( cons(sK60,app(sK58,app(sK58,sK56))) = app(iPr_def_10,app(sK58,app(sK58,sK56))) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_19073]) ).
tcf(c_82759,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_78008,c_19073]) ).
tcf(c_82760,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_75400,c_19073]) ).
tcf(c_82761,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_75782,c_19073]) ).
tcf(c_82762,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_76382,c_19073]) ).
tcf(c_82763,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_79016,c_19073]) ).
tcf(c_82764,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_80906,c_19073]) ).
tcf(c_82765,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_81446,c_19073]) ).
tcf(c_83516,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_82725,c_67]) ).
tcf(c_83519,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_82725,c_167]) ).
tcf(c_83520,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ( cons(sK60,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_82725,c_231]) ).
tcf(c_83521,plain,
( ( nil = sK56 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ( cons(sK60,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_82725,c_230]) ).
tcf(c_83522,plain,
( frontsegP(cons(sK60,sK56),iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_82725,c_386]) ).
tcf(c_83523,plain,
( rearsegP(cons(sK60,sK56),sK56)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_82725,c_383]) ).
tcf(c_83524,plain,
( ssList(cons(sK60,sK56))
| ~ ssList(iPr_def_10)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_82725,c_153]) ).
tcf(c_83525,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_82725,c_225]) ).
tcf(c_83526,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_82725,c_226]) ).
tcf(c_83527,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_82725,c_176]) ).
tcf(c_83528,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_82725,c_165]) ).
tcf(c_83529,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_82725,c_193]) ).
tcf(c_83530,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK56),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(superposition,[status(thm)],[c_82725,c_186]) ).
tcf(c_83531,plain,
! [X0: $i] :
( memberP(cons(sK60,sK56),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(superposition,[status(thm)],[c_82725,c_166]) ).
tcf(c_83532,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ ssList(iPr_def_10)
| ( cons(sK57,sK56) != cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_82725,c_39002]) ).
tcf(c_83533,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( cons(sK60,sK56) != sK56 ) ),
inference(superposition,[status(thm)],[c_82725,c_25412]) ).
tcf(c_83534,plain,
( segmentP(cons(sK60,sK56),sK59)
| ~ ssList(sK56)
| ~ ssList(app(iPr_def_10,sK56)) ),
inference(superposition,[status(thm)],[c_82725,c_26480]) ).
tcf(c_83535,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK56),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_82725,c_27061]) ).
tcf(c_83536,plain,
ssList(cons(sK60,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_83524,c_18402,c_9004]) ).
tcf(c_83537,plain,
rearsegP(cons(sK60,sK56),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_83523,c_18402,c_9004]) ).
tcf(c_83538,plain,
frontsegP(cons(sK60,sK56),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_83522,c_18402,c_9004]) ).
tcf(c_83539,plain,
( segmentP(cons(sK60,sK56),sK59)
| ~ ssList(sK56)
| ~ ssList(cons(sK60,sK56)) ),
inference(light_normalisation,[status(thm)],[c_83534,c_82725]) ).
tcf(c_83540,plain,
( segmentP(cons(sK60,sK56),sK59)
| ~ ssList(cons(sK60,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83539,c_9004]) ).
tcf(c_83543,plain,
cons(sK60,sK56) != sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_83533,c_18417,c_18402]) ).
tcf(c_83544,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83535,c_9004]) ).
tcf(c_83548,plain,
( ( iPr_def_10 = iPr_def_11 )
| ( cons(sK57,sK56) != cons(sK60,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83532,c_18402]) ).
tcf(c_83554,plain,
cons(sK60,sK56) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_83520,c_18417,c_18402,c_9004]) ).
tcf(c_83555,plain,
! [X0: $i] :
( memberP(cons(sK60,sK56),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83531,c_18402,c_9004]) ).
tcf(c_83559,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK56),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83530,c_18402,c_9004]) ).
tcf(c_83563,plain,
! [X0: $i] :
( memberP(cons(sK60,sK56),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83528,c_18402,c_9004]) ).
tcf(c_83567,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83527,c_18402,c_9004]) ).
tcf(c_83571,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_83519,c_18402,c_9004]) ).
tcf(c_83576,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != cons(sK60,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83526,c_18402,c_9004]) ).
tcf(c_83580,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(X0,sK56) != cons(sK60,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83525,c_18402,c_9004]) ).
tcf(c_83584,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_83529,c_18402,c_9004]) ).
tcf(c_83589,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_83516,c_82725]) ).
tcf(c_83590,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_83589,c_18402,c_9004]) ).
tcf(c_83642,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_83536,c_228]) ).
tcf(c_83643,plain,
cons(sK60,cons(sK60,sK56)) = app(iPr_def_10,cons(sK60,sK56)),
inference(superposition,[status(thm)],[c_83536,c_19073]) ).
tcf(c_83644,plain,
app(sK12(cons(sK60,sK56),nil),nil) = cons(sK60,sK56),
inference(superposition,[status(thm)],[c_83536,c_18475]) ).
tcf(c_83645,plain,
app(sK12(cons(sK60,sK56),cons(sK60,sK56)),cons(sK60,sK56)) = cons(sK60,sK56),
inference(superposition,[status(thm)],[c_83536,c_18447]) ).
tcf(c_83646,plain,
app(nil,sK11(cons(sK60,sK56),nil)) = cons(sK60,sK56),
inference(superposition,[status(thm)],[c_83536,c_17916]) ).
tcf(c_83647,plain,
app(cons(sK60,sK56),sK11(cons(sK60,sK56),cons(sK60,sK56))) = cons(sK60,sK56),
inference(superposition,[status(thm)],[c_83536,c_17876]) ).
tcf(c_83648,plain,
app(app(sK59,cons(sK60,sK56)),sK59) = app(sK59,app(cons(sK60,sK56),sK59)),
inference(superposition,[status(thm)],[c_83536,c_74603]) ).
tcf(c_83649,plain,
app(app(sK56,cons(sK60,sK56)),sK59) = app(sK56,app(cons(sK60,sK56),sK59)),
inference(superposition,[status(thm)],[c_83536,c_74602]) ).
tcf(c_83650,plain,
! [X0: $i] :
( ( app(app(cons(sK60,sK56),X0),sK59) = app(cons(sK60,sK56),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_83536,c_23050]) ).
tcf(c_83651,plain,
cons(sK57,cons(sK60,sK56)) = app(iPr_def_11,cons(sK60,sK56)),
inference(superposition,[status(thm)],[c_83536,c_16754]) ).
tcf(c_83652,plain,
app(app(sK58,cons(sK60,sK56)),sK56) = app(sK58,app(cons(sK60,sK56),sK56)),
inference(superposition,[status(thm)],[c_83536,c_64254]) ).
tcf(c_83653,plain,
app(app(sK59,cons(sK60,sK56)),sK56) = app(sK59,app(cons(sK60,sK56),sK56)),
inference(superposition,[status(thm)],[c_83536,c_64253]) ).
tcf(c_83654,plain,
app(app(sK56,cons(sK60,sK56)),sK56) = app(sK56,app(cons(sK60,sK56),sK56)),
inference(superposition,[status(thm)],[c_83536,c_64252]) ).
tcf(c_83655,plain,
! [X0: $i] :
( ( app(app(cons(sK60,sK56),X0),sK56) = app(cons(sK60,sK56),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_83536,c_23049]) ).
tcf(c_83656,plain,
hd(app(iPr_def_11,cons(sK60,sK56))) = sK57,
inference(superposition,[status(thm)],[c_83536,c_19361]) ).
tcf(c_83657,plain,
hd(cons(sK60,cons(sK60,sK56))) = sK60,
inference(superposition,[status(thm)],[c_83536,c_19068]) ).
tcf(c_83658,plain,
tl(cons(sK60,cons(sK60,sK56))) = cons(sK60,sK56),
inference(superposition,[status(thm)],[c_83536,c_19067]) ).
tcf(c_83659,plain,
cons(sK57,app(cons(sK60,sK56),sK58)) = app(cons(sK57,cons(sK60,sK56)),sK58),
inference(superposition,[status(thm)],[c_83536,c_37537]) ).
tcf(c_83660,plain,
tl(cons(sK7,cons(sK60,sK56))) = cons(sK60,sK56),
inference(superposition,[status(thm)],[c_83536,c_14098]) ).
tcf(c_83661,plain,
tl(cons(sK6,cons(sK60,sK56))) = cons(sK60,sK56),
inference(superposition,[status(thm)],[c_83536,c_14097]) ).
tcf(c_83662,plain,
cons(sK57,app(cons(sK60,sK56),sK59)) = app(cons(sK57,cons(sK60,sK56)),sK59),
inference(superposition,[status(thm)],[c_83536,c_37536]) ).
tcf(c_83663,plain,
hd(cons(sK7,cons(sK60,sK56))) = sK7,
inference(superposition,[status(thm)],[c_83536,c_13924]) ).
tcf(c_83664,plain,
hd(cons(sK6,cons(sK60,sK56))) = sK6,
inference(superposition,[status(thm)],[c_83536,c_13923]) ).
tcf(c_83665,plain,
cons(sK57,app(cons(sK60,sK56),sK56)) = app(cons(sK57,cons(sK60,sK56)),sK56),
inference(superposition,[status(thm)],[c_83536,c_37535]) ).
tcf(c_83666,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK60,sK56))) = app(cons(sK57,X0),cons(sK60,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_83536,c_22705]) ).
tcf(c_83667,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK60,sK56)) = tl(app(sK58,cons(sK60,sK56))) ) ),
inference(superposition,[status(thm)],[c_83536,c_21826]) ).
tcf(c_83668,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK60,sK56)) = tl(app(sK59,cons(sK60,sK56))) ) ),
inference(superposition,[status(thm)],[c_83536,c_21825]) ).
tcf(c_83669,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK60,sK56)) = tl(app(sK56,cons(sK60,sK56))) ) ),
inference(superposition,[status(thm)],[c_83536,c_21824]) ).
tcf(c_83670,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_83536,c_124]) ).
tcf(c_83671,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_83536,c_116]) ).
tcf(c_83672,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_83536,c_108]) ).
tcf(c_83673,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK60,sK56))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_83536,c_19350]) ).
tcf(c_83674,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_83536,c_234]) ).
tcf(c_83675,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK60,sK56))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_83536,c_19349]) ).
tcf(c_83676,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK60,sK56))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_83536,c_19348]) ).
tcf(c_83677,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_83536,c_132]) ).
tcf(c_83678,plain,
! [X0: $i] :
( ( cons(sK60,sK56) = nil )
| ( hd(app(cons(sK60,sK56),X0)) = hd(cons(sK60,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_83536,c_233]) ).
tcf(c_83679,plain,
( ( cons(sK60,sK56) = nil )
| ( cons(hd(cons(sK60,sK56)),tl(cons(sK60,sK56))) = cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_83536,c_224]) ).
tcf(c_83680,plain,
( ( cons(sK60,sK56) = nil )
| ( cons(sK50(cons(sK60,sK56)),sK49(cons(sK60,sK56))) = cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_83536,c_147]) ).
tcf(c_83681,plain,
tl(cons(sK57,cons(sK60,sK56))) = cons(sK60,sK56),
inference(superposition,[status(thm)],[c_83536,c_14117]) ).
tcf(c_83682,plain,
hd(cons(sK57,cons(sK60,sK56))) = sK57,
inference(superposition,[status(thm)],[c_83536,c_13943]) ).
tcf(c_83683,plain,
( ( cons(sK60,sK56) = nil )
| ( tl(cons(sK60,sK56)) = sK52(cons(sK60,sK56)) ) ),
inference(superposition,[status(thm)],[c_83536,c_222]) ).
tcf(c_83684,plain,
( ( cons(sK60,sK56) = nil )
| ( hd(cons(sK60,sK56)) = sK51(cons(sK60,sK56)) ) ),
inference(superposition,[status(thm)],[c_83536,c_220]) ).
tcf(c_83685,plain,
( duplicatefreeP(cons(sK60,sK56))
| ( sK40(cons(sK60,sK56)) = sK41(cons(sK60,sK56)) ) ),
inference(superposition,[status(thm)],[c_83536,c_123]) ).
tcf(c_83686,plain,
app(cons(sK60,sK56),nil) = cons(sK60,sK56),
inference(superposition,[status(thm)],[c_83536,c_232]) ).
tcf(c_83687,plain,
app(nil,cons(sK60,sK56)) = cons(sK60,sK56),
inference(superposition,[status(thm)],[c_83536,c_155]) ).
tcf(c_83696,plain,
( ( cons(sK60,sK56) = nil )
| ( sK51(cons(sK60,sK56)) = sK60 ) ),
inference(light_normalisation,[status(thm)],[c_83684,c_51105]) ).
tcf(c_83699,plain,
( ( cons(sK60,sK56) = nil )
| ( sK52(cons(sK60,sK56)) = sK56 ) ),
inference(light_normalisation,[status(thm)],[c_83683,c_50550]) ).
tcf(c_83717,plain,
! [X0: $i] :
( ( cons(sK60,sK56) = nil )
| ( hd(app(cons(sK60,sK56),X0)) = sK60 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_83678,c_51105]) ).
tcf(c_83724,plain,
! [X0: $i] :
( ( cons(sK60,sK56) = nil )
| ( tl(app(cons(sK60,sK56),X0)) = app(sK56,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_83674,c_50550]) ).
tcf(c_83831,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK56),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_83537,c_183]) ).
tcf(c_83832,plain,
( ( cons(sK60,sK56) = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK60,sK56))
| ~ rearsegP(sK56,cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_83537,c_184]) ).
tcf(c_83833,plain,
( ( app(sK12(cons(sK60,sK56),sK56),sK56) = cons(sK60,sK56) )
| ~ ssList(sK56)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_83537,c_66]) ).
tcf(c_83834,plain,
app(sK12(cons(sK60,sK56),sK56),sK56) = cons(sK60,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_83833,c_9004,c_83536]) ).
tcf(c_83835,plain,
( ( cons(sK60,sK56) = sK56 )
| ~ rearsegP(sK56,cons(sK60,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83832,c_9004,c_83536]) ).
tcf(c_83839,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_83538,c_173]) ).
tcf(c_83840,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_83538,c_174]) ).
tcf(c_83841,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_83538,c_63]) ).
tcf(c_83842,plain,
app(iPr_def_10,sK11(cons(sK60,sK56),iPr_def_10)) = cons(sK60,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_83841,c_18402,c_83536]) ).
tcf(c_83843,plain,
( ( cons(sK60,sK56) = iPr_def_10 )
| ~ frontsegP(iPr_def_10,cons(sK60,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83840,c_18402,c_83536]) ).
tcf(c_83847,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_82726,c_67]) ).
tcf(c_83850,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_82726,c_167]) ).
tcf(c_83851,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ( cons(sK60,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_82726,c_231]) ).
tcf(c_83852,plain,
( ( nil = sK59 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ( cons(sK60,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_82726,c_230]) ).
tcf(c_83853,plain,
( frontsegP(cons(sK60,sK59),iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_82726,c_386]) ).
tcf(c_83854,plain,
( rearsegP(cons(sK60,sK59),sK59)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_82726,c_383]) ).
tcf(c_83855,plain,
( ssList(cons(sK60,sK59))
| ~ ssList(iPr_def_10)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_82726,c_153]) ).
tcf(c_83856,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_82726,c_225]) ).
tcf(c_83857,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_82726,c_226]) ).
tcf(c_83858,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_82726,c_176]) ).
tcf(c_83859,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_82726,c_165]) ).
tcf(c_83860,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_82726,c_193]) ).
tcf(c_83861,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK59),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(superposition,[status(thm)],[c_82726,c_186]) ).
tcf(c_83862,plain,
! [X0: $i] :
( memberP(cons(sK60,sK59),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(superposition,[status(thm)],[c_82726,c_166]) ).
tcf(c_83863,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ ssList(iPr_def_10)
| ( cons(sK57,sK59) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_82726,c_42707]) ).
tcf(c_83864,plain,
( ( iPr_def_10 = iPr_def_12 )
| ~ ssList(iPr_def_10)
| ( cons(sK60,sK59) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_82726,c_25424]) ).
tcf(c_83865,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( cons(sK60,sK59) != sK59 ) ),
inference(superposition,[status(thm)],[c_82726,c_25408]) ).
tcf(c_83866,plain,
( segmentP(cons(sK60,sK59),sK59)
| ~ ssList(sK59)
| ~ ssList(app(iPr_def_10,sK59)) ),
inference(superposition,[status(thm)],[c_82726,c_26480]) ).
tcf(c_83867,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK59),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_82726,c_27061]) ).
tcf(c_83868,plain,
ssList(cons(sK60,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_83855,c_18402,c_9003]) ).
tcf(c_83869,plain,
rearsegP(cons(sK60,sK59),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_83854,c_18402,c_9003]) ).
tcf(c_83870,plain,
frontsegP(cons(sK60,sK59),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_83853,c_18402,c_9003]) ).
tcf(c_83871,plain,
( segmentP(cons(sK60,sK59),sK59)
| ~ ssList(sK59)
| ~ ssList(cons(sK60,sK59)) ),
inference(light_normalisation,[status(thm)],[c_83866,c_82726]) ).
tcf(c_83872,plain,
( segmentP(cons(sK60,sK59),sK59)
| ~ ssList(cons(sK60,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83871,c_9003]) ).
tcf(c_83875,plain,
cons(sK60,sK59) != sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_83865,c_18417,c_18402]) ).
tcf(c_83876,plain,
( ( iPr_def_10 = iPr_def_12 )
| ( cons(sK60,sK59) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83864,c_18402]) ).
tcf(c_83879,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83867,c_9003]) ).
tcf(c_83883,plain,
( ( iPr_def_10 = iPr_def_11 )
| ( cons(sK57,sK59) != cons(sK60,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83863,c_18402]) ).
tcf(c_83889,plain,
cons(sK60,sK59) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_83851,c_18417,c_18402,c_9003]) ).
tcf(c_83890,plain,
! [X0: $i] :
( memberP(cons(sK60,sK59),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83862,c_18402,c_9003]) ).
tcf(c_83894,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK59),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83861,c_18402,c_9003]) ).
tcf(c_83898,plain,
! [X0: $i] :
( memberP(cons(sK60,sK59),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83859,c_18402,c_9003]) ).
tcf(c_83902,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83858,c_18402,c_9003]) ).
tcf(c_83906,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_83850,c_18402,c_9003]) ).
tcf(c_83911,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != cons(sK60,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83857,c_18402,c_9003]) ).
tcf(c_83915,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(X0,sK59) != cons(sK60,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83856,c_18402,c_9003]) ).
tcf(c_83919,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_83860,c_18402,c_9003]) ).
tcf(c_83924,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_83847,c_82726]) ).
tcf(c_83925,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_83924,c_18402,c_9003]) ).
tcf(c_83977,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_83868,c_228]) ).
tcf(c_83978,plain,
cons(sK60,cons(sK60,sK59)) = app(iPr_def_10,cons(sK60,sK59)),
inference(superposition,[status(thm)],[c_83868,c_19073]) ).
tcf(c_83979,plain,
app(sK12(cons(sK60,sK59),nil),nil) = cons(sK60,sK59),
inference(superposition,[status(thm)],[c_83868,c_18475]) ).
tcf(c_83980,plain,
app(sK12(cons(sK60,sK59),cons(sK60,sK59)),cons(sK60,sK59)) = cons(sK60,sK59),
inference(superposition,[status(thm)],[c_83868,c_18447]) ).
tcf(c_83981,plain,
app(nil,sK11(cons(sK60,sK59),nil)) = cons(sK60,sK59),
inference(superposition,[status(thm)],[c_83868,c_17916]) ).
tcf(c_83982,plain,
app(cons(sK60,sK59),sK11(cons(sK60,sK59),cons(sK60,sK59))) = cons(sK60,sK59),
inference(superposition,[status(thm)],[c_83868,c_17876]) ).
tcf(c_83983,plain,
app(app(sK59,cons(sK60,sK59)),sK59) = app(sK59,app(cons(sK60,sK59),sK59)),
inference(superposition,[status(thm)],[c_83868,c_74603]) ).
tcf(c_83984,plain,
app(app(sK56,cons(sK60,sK59)),sK59) = app(sK56,app(cons(sK60,sK59),sK59)),
inference(superposition,[status(thm)],[c_83868,c_74602]) ).
tcf(c_83985,plain,
! [X0: $i] :
( ( app(app(cons(sK60,sK59),X0),sK59) = app(cons(sK60,sK59),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_83868,c_23050]) ).
tcf(c_83986,plain,
cons(sK57,cons(sK60,sK59)) = app(iPr_def_11,cons(sK60,sK59)),
inference(superposition,[status(thm)],[c_83868,c_16754]) ).
tcf(c_83987,plain,
app(app(sK58,cons(sK60,sK59)),sK56) = app(sK58,app(cons(sK60,sK59),sK56)),
inference(superposition,[status(thm)],[c_83868,c_64254]) ).
tcf(c_83988,plain,
app(app(sK59,cons(sK60,sK59)),sK56) = app(sK59,app(cons(sK60,sK59),sK56)),
inference(superposition,[status(thm)],[c_83868,c_64253]) ).
tcf(c_83989,plain,
app(app(sK56,cons(sK60,sK59)),sK56) = app(sK56,app(cons(sK60,sK59),sK56)),
inference(superposition,[status(thm)],[c_83868,c_64252]) ).
tcf(c_83990,plain,
! [X0: $i] :
( ( app(app(cons(sK60,sK59),X0),sK56) = app(cons(sK60,sK59),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_83868,c_23049]) ).
tcf(c_83991,plain,
hd(app(iPr_def_11,cons(sK60,sK59))) = sK57,
inference(superposition,[status(thm)],[c_83868,c_19361]) ).
tcf(c_83992,plain,
hd(cons(sK60,cons(sK60,sK59))) = sK60,
inference(superposition,[status(thm)],[c_83868,c_19068]) ).
tcf(c_83993,plain,
tl(cons(sK60,cons(sK60,sK59))) = cons(sK60,sK59),
inference(superposition,[status(thm)],[c_83868,c_19067]) ).
tcf(c_83994,plain,
cons(sK57,app(cons(sK60,sK59),sK58)) = app(cons(sK57,cons(sK60,sK59)),sK58),
inference(superposition,[status(thm)],[c_83868,c_37537]) ).
tcf(c_83995,plain,
tl(cons(sK7,cons(sK60,sK59))) = cons(sK60,sK59),
inference(superposition,[status(thm)],[c_83868,c_14098]) ).
tcf(c_83996,plain,
tl(cons(sK6,cons(sK60,sK59))) = cons(sK60,sK59),
inference(superposition,[status(thm)],[c_83868,c_14097]) ).
tcf(c_83997,plain,
cons(sK57,app(cons(sK60,sK59),sK59)) = app(cons(sK57,cons(sK60,sK59)),sK59),
inference(superposition,[status(thm)],[c_83868,c_37536]) ).
tcf(c_83998,plain,
hd(cons(sK7,cons(sK60,sK59))) = sK7,
inference(superposition,[status(thm)],[c_83868,c_13924]) ).
tcf(c_83999,plain,
hd(cons(sK6,cons(sK60,sK59))) = sK6,
inference(superposition,[status(thm)],[c_83868,c_13923]) ).
tcf(c_84000,plain,
cons(sK57,app(cons(sK60,sK59),sK56)) = app(cons(sK57,cons(sK60,sK59)),sK56),
inference(superposition,[status(thm)],[c_83868,c_37535]) ).
tcf(c_84001,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK60,sK59))) = app(cons(sK57,X0),cons(sK60,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_83868,c_22705]) ).
tcf(c_84002,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK60,sK59)) = tl(app(sK58,cons(sK60,sK59))) ) ),
inference(superposition,[status(thm)],[c_83868,c_21826]) ).
tcf(c_84003,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK60,sK59)) = tl(app(sK59,cons(sK60,sK59))) ) ),
inference(superposition,[status(thm)],[c_83868,c_21825]) ).
tcf(c_84004,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK60,sK59)) = tl(app(sK56,cons(sK60,sK59))) ) ),
inference(superposition,[status(thm)],[c_83868,c_21824]) ).
tcf(c_84005,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_83868,c_124]) ).
tcf(c_84006,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_83868,c_116]) ).
tcf(c_84007,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_83868,c_108]) ).
tcf(c_84008,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK60,sK59))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_83868,c_19350]) ).
tcf(c_84009,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_83868,c_234]) ).
tcf(c_84010,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK60,sK59))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_83868,c_19349]) ).
tcf(c_84011,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK60,sK59))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_83868,c_19348]) ).
tcf(c_84012,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_83868,c_132]) ).
tcf(c_84013,plain,
! [X0: $i] :
( ( cons(sK60,sK59) = nil )
| ( hd(app(cons(sK60,sK59),X0)) = hd(cons(sK60,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_83868,c_233]) ).
tcf(c_84014,plain,
( ( cons(sK60,sK59) = nil )
| ( cons(hd(cons(sK60,sK59)),tl(cons(sK60,sK59))) = cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_83868,c_224]) ).
tcf(c_84015,plain,
( ( cons(sK60,sK59) = nil )
| ( cons(sK50(cons(sK60,sK59)),sK49(cons(sK60,sK59))) = cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_83868,c_147]) ).
tcf(c_84016,plain,
tl(cons(sK57,cons(sK60,sK59))) = cons(sK60,sK59),
inference(superposition,[status(thm)],[c_83868,c_14117]) ).
tcf(c_84017,plain,
hd(cons(sK57,cons(sK60,sK59))) = sK57,
inference(superposition,[status(thm)],[c_83868,c_13943]) ).
tcf(c_84018,plain,
( ( cons(sK60,sK59) = nil )
| ( tl(cons(sK60,sK59)) = sK52(cons(sK60,sK59)) ) ),
inference(superposition,[status(thm)],[c_83868,c_222]) ).
tcf(c_84019,plain,
( ( cons(sK60,sK59) = nil )
| ( hd(cons(sK60,sK59)) = sK51(cons(sK60,sK59)) ) ),
inference(superposition,[status(thm)],[c_83868,c_220]) ).
tcf(c_84020,plain,
( duplicatefreeP(cons(sK60,sK59))
| ( sK40(cons(sK60,sK59)) = sK41(cons(sK60,sK59)) ) ),
inference(superposition,[status(thm)],[c_83868,c_123]) ).
tcf(c_84021,plain,
app(cons(sK60,sK59),nil) = cons(sK60,sK59),
inference(superposition,[status(thm)],[c_83868,c_232]) ).
tcf(c_84022,plain,
app(nil,cons(sK60,sK59)) = cons(sK60,sK59),
inference(superposition,[status(thm)],[c_83868,c_155]) ).
tcf(c_84031,plain,
( ( cons(sK60,sK59) = nil )
| ( sK51(cons(sK60,sK59)) = sK60 ) ),
inference(light_normalisation,[status(thm)],[c_84019,c_51106]) ).
tcf(c_84034,plain,
( ( cons(sK60,sK59) = nil )
| ( sK52(cons(sK60,sK59)) = sK59 ) ),
inference(light_normalisation,[status(thm)],[c_84018,c_50551]) ).
tcf(c_84052,plain,
! [X0: $i] :
( ( cons(sK60,sK59) = nil )
| ( hd(app(cons(sK60,sK59),X0)) = sK60 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_84013,c_51106]) ).
tcf(c_84059,plain,
! [X0: $i] :
( ( cons(sK60,sK59) = nil )
| ( tl(app(cons(sK60,sK59),X0)) = app(sK59,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_84009,c_50551]) ).
tcf(c_84366,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK59),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83869,c_183]) ).
tcf(c_84367,plain,
( ( cons(sK60,sK59) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK60,sK59))
| ~ rearsegP(sK59,cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83869,c_184]) ).
tcf(c_84368,plain,
( ( app(sK12(cons(sK60,sK59),sK59),sK59) = cons(sK60,sK59) )
| ~ ssList(sK59)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83869,c_66]) ).
tcf(c_84369,plain,
app(sK12(cons(sK60,sK59),sK59),sK59) = cons(sK60,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_84368,c_9003,c_83868]) ).
tcf(c_84370,plain,
( ( cons(sK60,sK59) = sK59 )
| ~ rearsegP(sK59,cons(sK60,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84367,c_9003,c_83868]) ).
tcf(c_84374,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_83870,c_173]) ).
tcf(c_84375,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_83870,c_174]) ).
tcf(c_84376,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_83870,c_63]) ).
tcf(c_84377,plain,
app(iPr_def_10,sK11(cons(sK60,sK59),iPr_def_10)) = cons(sK60,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_84376,c_18402,c_83868]) ).
tcf(c_84378,plain,
( ( cons(sK60,sK59) = iPr_def_10 )
| ~ frontsegP(iPr_def_10,cons(sK60,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84375,c_18402,c_83868]) ).
tcf(c_84382,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_82727,c_67]) ).
tcf(c_84385,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_82727,c_167]) ).
tcf(c_84386,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK58)
| ( cons(sK60,sK58) != nil ) ),
inference(superposition,[status(thm)],[c_82727,c_231]) ).
tcf(c_84387,plain,
( ( nil = sK58 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK58)
| ( cons(sK60,sK58) != nil ) ),
inference(superposition,[status(thm)],[c_82727,c_230]) ).
tcf(c_84388,plain,
( frontsegP(cons(sK60,sK58),iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_82727,c_386]) ).
tcf(c_84389,plain,
( rearsegP(cons(sK60,sK58),sK58)
| ~ ssList(iPr_def_10)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_82727,c_383]) ).
tcf(c_84390,plain,
( ssList(cons(sK60,sK58))
| ~ ssList(iPr_def_10)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_82727,c_153]) ).
tcf(c_84391,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_82727,c_225]) ).
tcf(c_84392,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_82727,c_226]) ).
tcf(c_84393,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_82727,c_176]) ).
tcf(c_84394,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_82727,c_165]) ).
tcf(c_84395,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_82727,c_193]) ).
tcf(c_84396,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK58),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0) ),
inference(superposition,[status(thm)],[c_82727,c_186]) ).
tcf(c_84397,plain,
! [X0: $i] :
( memberP(cons(sK60,sK58),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(superposition,[status(thm)],[c_82727,c_166]) ).
tcf(c_84398,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ ssList(iPr_def_10)
| ( cons(sK57,sK58) != cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_82727,c_45969]) ).
tcf(c_84399,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( cons(sK60,sK58) != sK58 ) ),
inference(superposition,[status(thm)],[c_82727,c_25404]) ).
tcf(c_84400,plain,
( segmentP(cons(sK60,sK58),sK59)
| ~ ssList(sK58)
| ~ ssList(app(iPr_def_10,sK58)) ),
inference(superposition,[status(thm)],[c_82727,c_26480]) ).
tcf(c_84401,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK58),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_82727,c_27061]) ).
tcf(c_84402,plain,
ssList(cons(sK60,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_84390,c_18402,c_9000]) ).
tcf(c_84403,plain,
rearsegP(cons(sK60,sK58),sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_84389,c_18402,c_9000]) ).
tcf(c_84404,plain,
frontsegP(cons(sK60,sK58),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_84388,c_18402,c_9000]) ).
tcf(c_84405,plain,
( segmentP(cons(sK60,sK58),sK59)
| ~ ssList(sK58)
| ~ ssList(cons(sK60,sK58)) ),
inference(light_normalisation,[status(thm)],[c_84400,c_82727]) ).
tcf(c_84406,plain,
( segmentP(cons(sK60,sK58),sK59)
| ~ ssList(cons(sK60,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84405,c_9000]) ).
tcf(c_84409,plain,
cons(sK60,sK58) != sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_84399,c_18417,c_18402]) ).
tcf(c_84410,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK58),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84401,c_9000]) ).
tcf(c_84414,plain,
( ( iPr_def_10 = iPr_def_11 )
| ( cons(sK57,sK58) != cons(sK60,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84398,c_18402]) ).
tcf(c_84420,plain,
cons(sK60,sK58) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_84386,c_18417,c_18402,c_9000]) ).
tcf(c_84421,plain,
! [X0: $i] :
( memberP(cons(sK60,sK58),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84397,c_18402,c_9000]) ).
tcf(c_84425,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK58),X0)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84396,c_18402,c_9000]) ).
tcf(c_84429,plain,
! [X0: $i] :
( memberP(cons(sK60,sK58),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84394,c_18402,c_9000]) ).
tcf(c_84433,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK58),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84393,c_18402,c_9000]) ).
tcf(c_84437,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_84385,c_18402,c_9000]) ).
tcf(c_84442,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != cons(sK60,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84392,c_18402,c_9000]) ).
tcf(c_84446,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(X0,sK58) != cons(sK60,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84391,c_18402,c_9000]) ).
tcf(c_84450,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_84395,c_18402,c_9000]) ).
tcf(c_84455,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_84382,c_82727]) ).
tcf(c_84456,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_84455,c_18402,c_9000]) ).
tcf(c_84470,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_84402,c_228]) ).
tcf(c_84471,plain,
cons(sK60,cons(sK60,sK58)) = app(iPr_def_10,cons(sK60,sK58)),
inference(superposition,[status(thm)],[c_84402,c_19073]) ).
tcf(c_84472,plain,
app(sK12(cons(sK60,sK58),nil),nil) = cons(sK60,sK58),
inference(superposition,[status(thm)],[c_84402,c_18475]) ).
tcf(c_84473,plain,
app(sK12(cons(sK60,sK58),cons(sK60,sK58)),cons(sK60,sK58)) = cons(sK60,sK58),
inference(superposition,[status(thm)],[c_84402,c_18447]) ).
tcf(c_84474,plain,
app(nil,sK11(cons(sK60,sK58),nil)) = cons(sK60,sK58),
inference(superposition,[status(thm)],[c_84402,c_17916]) ).
tcf(c_84475,plain,
app(cons(sK60,sK58),sK11(cons(sK60,sK58),cons(sK60,sK58))) = cons(sK60,sK58),
inference(superposition,[status(thm)],[c_84402,c_17876]) ).
tcf(c_84476,plain,
app(app(sK59,cons(sK60,sK58)),sK59) = app(sK59,app(cons(sK60,sK58),sK59)),
inference(superposition,[status(thm)],[c_84402,c_74603]) ).
tcf(c_84477,plain,
app(app(sK56,cons(sK60,sK58)),sK59) = app(sK56,app(cons(sK60,sK58),sK59)),
inference(superposition,[status(thm)],[c_84402,c_74602]) ).
tcf(c_84478,plain,
! [X0: $i] :
( ( app(app(cons(sK60,sK58),X0),sK59) = app(cons(sK60,sK58),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_84402,c_23050]) ).
tcf(c_84479,plain,
cons(sK57,cons(sK60,sK58)) = app(iPr_def_11,cons(sK60,sK58)),
inference(superposition,[status(thm)],[c_84402,c_16754]) ).
tcf(c_84480,plain,
app(app(sK58,cons(sK60,sK58)),sK56) = app(sK58,app(cons(sK60,sK58),sK56)),
inference(superposition,[status(thm)],[c_84402,c_64254]) ).
tcf(c_84481,plain,
app(app(sK59,cons(sK60,sK58)),sK56) = app(sK59,app(cons(sK60,sK58),sK56)),
inference(superposition,[status(thm)],[c_84402,c_64253]) ).
tcf(c_84482,plain,
app(app(sK56,cons(sK60,sK58)),sK56) = app(sK56,app(cons(sK60,sK58),sK56)),
inference(superposition,[status(thm)],[c_84402,c_64252]) ).
tcf(c_84483,plain,
! [X0: $i] :
( ( app(app(cons(sK60,sK58),X0),sK56) = app(cons(sK60,sK58),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_84402,c_23049]) ).
tcf(c_84484,plain,
hd(app(iPr_def_11,cons(sK60,sK58))) = sK57,
inference(superposition,[status(thm)],[c_84402,c_19361]) ).
tcf(c_84485,plain,
hd(cons(sK60,cons(sK60,sK58))) = sK60,
inference(superposition,[status(thm)],[c_84402,c_19068]) ).
tcf(c_84486,plain,
tl(cons(sK60,cons(sK60,sK58))) = cons(sK60,sK58),
inference(superposition,[status(thm)],[c_84402,c_19067]) ).
tcf(c_84487,plain,
cons(sK57,app(cons(sK60,sK58),sK58)) = app(cons(sK57,cons(sK60,sK58)),sK58),
inference(superposition,[status(thm)],[c_84402,c_37537]) ).
tcf(c_84488,plain,
tl(cons(sK7,cons(sK60,sK58))) = cons(sK60,sK58),
inference(superposition,[status(thm)],[c_84402,c_14098]) ).
tcf(c_84489,plain,
tl(cons(sK6,cons(sK60,sK58))) = cons(sK60,sK58),
inference(superposition,[status(thm)],[c_84402,c_14097]) ).
tcf(c_84490,plain,
cons(sK57,app(cons(sK60,sK58),sK59)) = app(cons(sK57,cons(sK60,sK58)),sK59),
inference(superposition,[status(thm)],[c_84402,c_37536]) ).
tcf(c_84491,plain,
hd(cons(sK7,cons(sK60,sK58))) = sK7,
inference(superposition,[status(thm)],[c_84402,c_13924]) ).
tcf(c_84492,plain,
hd(cons(sK6,cons(sK60,sK58))) = sK6,
inference(superposition,[status(thm)],[c_84402,c_13923]) ).
tcf(c_84493,plain,
cons(sK57,app(cons(sK60,sK58),sK56)) = app(cons(sK57,cons(sK60,sK58)),sK56),
inference(superposition,[status(thm)],[c_84402,c_37535]) ).
tcf(c_84494,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK60,sK58))) = app(cons(sK57,X0),cons(sK60,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_84402,c_22705]) ).
tcf(c_84495,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK60,sK58)) = tl(app(sK58,cons(sK60,sK58))) ) ),
inference(superposition,[status(thm)],[c_84402,c_21826]) ).
tcf(c_84496,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK60,sK58)) = tl(app(sK59,cons(sK60,sK58))) ) ),
inference(superposition,[status(thm)],[c_84402,c_21825]) ).
tcf(c_84497,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK60,sK58)) = tl(app(sK56,cons(sK60,sK58))) ) ),
inference(superposition,[status(thm)],[c_84402,c_21824]) ).
tcf(c_84498,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_84402,c_124]) ).
tcf(c_84499,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_84402,c_116]) ).
tcf(c_84500,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_84402,c_108]) ).
tcf(c_84501,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK60,sK58))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_84402,c_19350]) ).
tcf(c_84502,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_84402,c_234]) ).
tcf(c_84503,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK60,sK58))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_84402,c_19349]) ).
tcf(c_84504,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK60,sK58))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_84402,c_19348]) ).
tcf(c_84505,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_84402,c_132]) ).
tcf(c_84506,plain,
! [X0: $i] :
( ( cons(sK60,sK58) = nil )
| ( hd(app(cons(sK60,sK58),X0)) = hd(cons(sK60,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_84402,c_233]) ).
tcf(c_84507,plain,
( ( cons(sK60,sK58) = nil )
| ( cons(hd(cons(sK60,sK58)),tl(cons(sK60,sK58))) = cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_84402,c_224]) ).
tcf(c_84508,plain,
( ( cons(sK60,sK58) = nil )
| ( cons(sK50(cons(sK60,sK58)),sK49(cons(sK60,sK58))) = cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_84402,c_147]) ).
tcf(c_84509,plain,
tl(cons(sK57,cons(sK60,sK58))) = cons(sK60,sK58),
inference(superposition,[status(thm)],[c_84402,c_14117]) ).
tcf(c_84510,plain,
hd(cons(sK57,cons(sK60,sK58))) = sK57,
inference(superposition,[status(thm)],[c_84402,c_13943]) ).
tcf(c_84511,plain,
( ( cons(sK60,sK58) = nil )
| ( tl(cons(sK60,sK58)) = sK52(cons(sK60,sK58)) ) ),
inference(superposition,[status(thm)],[c_84402,c_222]) ).
tcf(c_84512,plain,
( ( cons(sK60,sK58) = nil )
| ( hd(cons(sK60,sK58)) = sK51(cons(sK60,sK58)) ) ),
inference(superposition,[status(thm)],[c_84402,c_220]) ).
tcf(c_84513,plain,
( duplicatefreeP(cons(sK60,sK58))
| ( sK40(cons(sK60,sK58)) = sK41(cons(sK60,sK58)) ) ),
inference(superposition,[status(thm)],[c_84402,c_123]) ).
tcf(c_84514,plain,
app(cons(sK60,sK58),nil) = cons(sK60,sK58),
inference(superposition,[status(thm)],[c_84402,c_232]) ).
tcf(c_84515,plain,
app(nil,cons(sK60,sK58)) = cons(sK60,sK58),
inference(superposition,[status(thm)],[c_84402,c_155]) ).
tcf(c_84524,plain,
( ( cons(sK60,sK58) = nil )
| ( sK51(cons(sK60,sK58)) = sK60 ) ),
inference(light_normalisation,[status(thm)],[c_84512,c_51107]) ).
tcf(c_84527,plain,
( ( cons(sK60,sK58) = nil )
| ( sK52(cons(sK60,sK58)) = sK58 ) ),
inference(light_normalisation,[status(thm)],[c_84511,c_50552]) ).
tcf(c_84545,plain,
! [X0: $i] :
( ( cons(sK60,sK58) = nil )
| ( hd(app(cons(sK60,sK58),X0)) = sK60 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_84506,c_51107]) ).
tcf(c_84552,plain,
! [X0: $i] :
( ( cons(sK60,sK58) = nil )
| ( tl(app(cons(sK60,sK58),X0)) = app(sK58,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_84502,c_50552]) ).
tcf(c_84576,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( app(sK56,iPr_def_11) = nil )
| ( app(sK56,iPr_def_11) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK56,iPr_def_11))
| ( hd(X0) != hd(sK56) )
| ( tl(app(sK56,iPr_def_11)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_20664,c_223]) ).
tcf(c_84577,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK56,iPr_def_11)))
| ( nil = sK56 )
| ( app(sK56,iPr_def_11) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sK56,iPr_def_11))
| ~ ssList(app(sK56,iPr_def_11))
| ~ lt(X0,hd(sK56)) ),
inference(superposition,[status(thm)],[c_20664,c_212]) ).
tcf(c_84578,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK56,iPr_def_11)))
| ( nil = sK56 )
| ( app(sK56,iPr_def_11) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sK56,iPr_def_11))
| ~ ssList(app(sK56,iPr_def_11))
| ~ leq(X0,hd(sK56)) ),
inference(superposition,[status(thm)],[c_20664,c_206]) ).
tcf(c_84603,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK58),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84403,c_183]) ).
tcf(c_84604,plain,
( ( cons(sK60,sK58) = sK58 )
| ~ ssList(sK58)
| ~ ssList(cons(sK60,sK58))
| ~ rearsegP(sK58,cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84403,c_184]) ).
tcf(c_84605,plain,
( ( app(sK12(cons(sK60,sK58),sK58),sK58) = cons(sK60,sK58) )
| ~ ssList(sK58)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84403,c_66]) ).
tcf(c_84606,plain,
app(sK12(cons(sK60,sK58),sK58),sK58) = cons(sK60,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_84605,c_9000,c_84402]) ).
tcf(c_84607,plain,
( ( cons(sK60,sK58) = sK58 )
| ~ rearsegP(sK58,cons(sK60,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84604,c_9000,c_84402]) ).
tcf(c_84721,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_84404,c_173]) ).
tcf(c_84722,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_84404,c_174]) ).
tcf(c_84723,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_84404,c_63]) ).
tcf(c_84724,plain,
app(iPr_def_10,sK11(cons(sK60,sK58),iPr_def_10)) = cons(sK60,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_84723,c_18402,c_84402]) ).
tcf(c_84725,plain,
( ( cons(sK60,sK58) = iPr_def_10 )
| ~ frontsegP(iPr_def_10,cons(sK60,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84722,c_18402,c_84402]) ).
tcf(c_84729,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_83686,c_67]) ).
tcf(c_84735,plain,
( frontsegP(cons(sK60,sK56),cons(sK60,sK56))
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_83686,c_386]) ).
tcf(c_84736,plain,
( rearsegP(cons(sK60,sK56),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_83686,c_383]) ).
tcf(c_84738,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_83686,c_225]) ).
tcf(c_84739,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_83686,c_226]) ).
tcf(c_84742,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_83686,c_193]) ).
tcf(c_84743,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK56),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_83686,c_186]) ).
tcf(c_84748,plain,
rearsegP(cons(sK60,sK56),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_84736,c_141,c_83536]) ).
tcf(c_84749,plain,
frontsegP(cons(sK60,sK56),cons(sK60,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_84735,c_141,c_83536]) ).
tcf(c_84750,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK56),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84743,c_141,c_83536]) ).
tcf(c_84754,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_84742,c_141,c_83536]) ).
tcf(c_84759,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(cons(sK60,sK56),X0) != cons(sK60,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84739,c_141,c_83536]) ).
tcf(c_84763,plain,
! [X0: $i] :
( ( cons(sK60,sK56) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != cons(sK60,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84738,c_141,c_83536]) ).
tcf(c_84767,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_84729,c_83686]) ).
tcf(c_84768,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_84767,c_141,c_83536]) ).
tcf(c_84776,plain,
( ( cons(sK60,sK56) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK56))
| ~ rearsegP(nil,cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84748,c_184]) ).
tcf(c_84778,plain,
~ rearsegP(nil,cons(sK60,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_84776,c_83554,c_141,c_83536]) ).
tcf(c_84779,plain,
segmentP(cons(sK60,sK56),sK59),
inference(global_subsumption_just,[status(thm)],[c_83540,c_83536,c_83540]) ).
tcf(c_84781,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_84779,c_70]) ).
tcf(c_84782,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK56),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84779,c_190]) ).
tcf(c_84783,plain,
( ( cons(sK60,sK56) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK60,sK56))
| ~ segmentP(sK59,cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84779,c_191]) ).
tcf(c_84784,plain,
( ( cons(sK60,sK56) = sK59 )
| ~ segmentP(sK59,cons(sK60,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84783,c_9003,c_83536]) ).
tcf(c_84788,plain,
app(app(sK13(cons(sK60,sK56),sK59),sK59),sK14(cons(sK60,sK56),sK59)) = cons(sK60,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_84781,c_9003,c_83536]) ).
tcf(c_84789,plain,
segmentP(cons(sK60,sK59),sK59),
inference(global_subsumption_just,[status(thm)],[c_83872,c_83868,c_83872]) ).
tcf(c_84791,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_84789,c_70]) ).
tcf(c_84792,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK59),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_84789,c_190]) ).
tcf(c_84793,plain,
( ( cons(sK60,sK59) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK60,sK59))
| ~ segmentP(sK59,cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_84789,c_191]) ).
tcf(c_84794,plain,
~ segmentP(sK59,cons(sK60,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_84793,c_83875,c_9003,c_83868]) ).
tcf(c_84796,plain,
app(app(sK13(cons(sK60,sK59),sK59),sK59),sK14(cons(sK60,sK59),sK59)) = cons(sK60,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_84791,c_9003,c_83868]) ).
tcf(c_84797,plain,
segmentP(cons(sK60,sK58),sK59),
inference(global_subsumption_just,[status(thm)],[c_84406,c_84402,c_84406]) ).
tcf(c_84799,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_84797,c_70]) ).
tcf(c_84800,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK58),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84797,c_190]) ).
tcf(c_84801,plain,
( ( cons(sK60,sK58) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK60,sK58))
| ~ segmentP(sK59,cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84797,c_191]) ).
tcf(c_84802,plain,
( ( cons(sK60,sK58) = sK59 )
| ~ segmentP(sK59,cons(sK60,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84801,c_9003,c_84402]) ).
tcf(c_84806,plain,
app(app(sK13(cons(sK60,sK58),sK59),sK59),sK14(cons(sK60,sK58),sK59)) = cons(sK60,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_84799,c_9003,c_84402]) ).
tcf(c_84813,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_83544,c_70]) ).
tcf(c_84814,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_83544,c_190]) ).
tcf(c_84815,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_83544,c_191]) ).
tcf(c_84816,plain,
! [X0: $i] :
( ( cons(sK60,sK56) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,cons(sK60,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84815,c_83536]) ).
tcf(c_84821,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_84814,c_83536]) ).
tcf(c_84827,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_84813,c_83536]) ).
tcf(c_84840,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_83555,c_57]) ).
tcf(c_84841,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_83555,c_12668]) ).
tcf(c_84843,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_84841,c_83536]) ).
tcf(c_84847,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_84840,c_83536]) ).
tcf(c_84859,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_83559,c_183]) ).
tcf(c_84860,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_83559,c_184]) ).
tcf(c_84861,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_83559,c_66]) ).
tcf(c_84862,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_84861,c_83536]) ).
tcf(c_84866,plain,
! [X0: $i] :
( ( cons(sK60,sK56) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ rearsegP(X0,cons(sK60,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84860,c_83536]) ).
tcf(c_84871,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_84859,c_83536]) ).
tcf(c_84883,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_83563,c_57]) ).
tcf(c_84884,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_83563,c_12668]) ).
tcf(c_84885,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ( X0 = sK60 )
| ~ ssList(sK56)
| ~ ssItem(sK60)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_83563,c_170]) ).
tcf(c_84886,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ( X0 = sK60 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84885,c_9004,c_18410]) ).
tcf(c_84891,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_84884,c_83536]) ).
tcf(c_84895,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_84883,c_83536]) ).
tcf(c_84908,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( app(sK56,iPr_def_10) = nil )
| ( app(sK56,iPr_def_10) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK56,iPr_def_10))
| ( hd(X0) != hd(sK56) )
| ( tl(app(sK56,iPr_def_10)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_20665,c_223]) ).
tcf(c_84909,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK56,iPr_def_10)))
| ( nil = sK56 )
| ( app(sK56,iPr_def_10) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sK56,iPr_def_10))
| ~ ssList(app(sK56,iPr_def_10))
| ~ lt(X0,hd(sK56)) ),
inference(superposition,[status(thm)],[c_20665,c_212]) ).
tcf(c_84910,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK56,iPr_def_10)))
| ( nil = sK56 )
| ( app(sK56,iPr_def_10) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sK56,iPr_def_10))
| ~ ssList(app(sK56,iPr_def_10))
| ~ leq(X0,hd(sK56)) ),
inference(superposition,[status(thm)],[c_20665,c_206]) ).
tcf(c_84940,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_83687,c_122]) ).
tcf(c_84941,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_83687,c_114]) ).
tcf(c_84942,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_83687,c_130]) ).
tcf(c_84946,plain,
( memberP(cons(sK60,sK56),sK60)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(app(nil,cons(sK60,sK56))) ),
inference(superposition,[status(thm)],[c_83687,c_54]) ).
tcf(c_84947,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_83687,c_67]) ).
tcf(c_84953,plain,
( frontsegP(cons(sK60,sK56),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_83687,c_386]) ).
tcf(c_84954,plain,
( rearsegP(cons(sK60,sK56),cons(sK60,sK56))
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_83687,c_383]) ).
tcf(c_84956,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_83687,c_225]) ).
tcf(c_84960,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_83687,c_226]) ).
tcf(c_84961,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK56),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_83687,c_176]) ).
tcf(c_84963,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_83687,c_193]) ).
tcf(c_84966,plain,
frontsegP(cons(sK60,sK56),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_84953,c_141,c_83536]) ).
tcf(c_84967,plain,
rearsegP(cons(sK60,sK56),cons(sK60,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_84954,c_141,c_83536]) ).
tcf(c_84968,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84961,c_141,c_83536]) ).
tcf(c_84972,plain,
( memberP(cons(sK60,sK56),sK60)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(cons(sK60,sK56)) ),
inference(light_normalisation,[status(thm)],[c_84946,c_83687]) ).
tcf(c_84973,plain,
memberP(cons(sK60,sK56),sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_84972,c_9004,c_141,c_18410,c_83536]) ).
tcf(c_84974,plain,
! [X0: $i] :
( ( cons(sK60,sK56) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != cons(sK60,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84960,c_141,c_83536]) ).
tcf(c_84978,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,cons(sK60,sK56)) != cons(sK60,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84956,c_141,c_83536]) ).
tcf(c_84982,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_84963,c_141,c_83536]) ).
tcf(c_84987,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_84947,c_83687]) ).
tcf(c_84988,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_84987,c_141,c_83536]) ).
tcf(c_85010,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_84942,c_83687]) ).
tcf(c_85011,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_85010,c_9004,c_141,c_18410]) ).
tcf(c_85015,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_84941,c_83687]) ).
tcf(c_85016,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_85015,c_9004,c_141,c_18410]) ).
tcf(c_85022,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_84940,c_83687]) ).
tcf(c_85023,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_85022,c_9004,c_141,c_18410]) ).
tcf(c_85038,plain,
( ( cons(sK60,sK56) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK56))
| ~ frontsegP(nil,cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84966,c_174]) ).
tcf(c_85040,plain,
~ frontsegP(nil,cons(sK60,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_85038,c_83554,c_141,c_83536]) ).
tcf(c_85041,plain,
( ( app(sK8(cons(sK60,sK56),sK60),cons(sK60,sK9(cons(sK60,sK56),sK60))) = cons(sK60,sK56) )
| ~ ssItem(sK60)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84973,c_57]) ).
tcf(c_85042,plain,
( ( app(nil,sK8(cons(sK60,sK56),sK60)) = sK8(cons(sK60,sK56),sK60) )
| ~ ssItem(sK60)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84973,c_12668]) ).
tcf(c_85044,plain,
app(nil,sK8(cons(sK60,sK56),sK60)) = sK8(cons(sK60,sK56),sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_85042,c_18410,c_83536]) ).
tcf(c_85045,plain,
app(sK8(cons(sK60,sK56),sK60),cons(sK60,sK9(cons(sK60,sK56),sK60))) = cons(sK60,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_85041,c_18410,c_83536]) ).
tcf(c_85049,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_82728,c_67]) ).
tcf(c_85052,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_82728,c_167]) ).
tcf(c_85054,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10)
| ( cons(sK60,iPr_def_12) != nil ) ),
inference(superposition,[status(thm)],[c_82728,c_230]) ).
tcf(c_85055,plain,
( frontsegP(cons(sK60,iPr_def_12),iPr_def_10)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_82728,c_386]) ).
tcf(c_85056,plain,
( rearsegP(cons(sK60,iPr_def_12),iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_82728,c_383]) ).
tcf(c_85057,plain,
( ssList(cons(sK60,iPr_def_12))
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_82728,c_153]) ).
tcf(c_85058,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_82728,c_225]) ).
tcf(c_85059,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_82728,c_226]) ).
tcf(c_85060,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_82728,c_176]) ).
tcf(c_85061,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_82728,c_165]) ).
tcf(c_85062,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_82728,c_193]) ).
tcf(c_85063,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_82728,c_186]) ).
tcf(c_85064,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_82728,c_166]) ).
tcf(c_85065,plain,
( segmentP(cons(sK60,iPr_def_12),sK59)
| ~ ssList(iPr_def_12)
| ~ ssList(app(iPr_def_10,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_82728,c_26480]) ).
tcf(c_85066,plain,
! [X0: $i] :
( segmentP(cons(sK60,iPr_def_12),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_82728,c_27061]) ).
tcf(c_85067,plain,
ssList(cons(sK60,iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_85057,c_12995,c_18402]) ).
tcf(c_85068,plain,
rearsegP(cons(sK60,iPr_def_12),iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_85056,c_12995,c_18402]) ).
tcf(c_85069,plain,
frontsegP(cons(sK60,iPr_def_12),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_85055,c_12995,c_18402]) ).
tcf(c_85070,plain,
( segmentP(cons(sK60,iPr_def_12),sK59)
| ~ ssList(iPr_def_12)
| ~ ssList(cons(sK60,iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_85065,c_82728]) ).
tcf(c_85071,plain,
( segmentP(cons(sK60,iPr_def_12),sK59)
| ~ ssList(cons(sK60,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85070,c_12995]) ).
tcf(c_85074,plain,
! [X0: $i] :
( segmentP(cons(sK60,iPr_def_12),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85066,c_12995]) ).
tcf(c_85078,plain,
cons(sK60,iPr_def_12) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_85054,c_17779,c_12995,c_18402]) ).
tcf(c_85079,plain,
! [X0: $i] :
( memberP(cons(sK60,iPr_def_12),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85064,c_12995,c_18402]) ).
tcf(c_85083,plain,
! [X0: $i] :
( rearsegP(cons(sK60,iPr_def_12),X0)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85063,c_12995,c_18402]) ).
tcf(c_85087,plain,
! [X0: $i] :
( memberP(cons(sK60,iPr_def_12),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85061,c_12995,c_18402]) ).
tcf(c_85091,plain,
! [X0: $i] :
( frontsegP(cons(sK60,iPr_def_12),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85060,c_12995,c_18402]) ).
tcf(c_85095,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_85052,c_12995,c_18402]) ).
tcf(c_85100,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_85059,c_12995,c_18402]) ).
tcf(c_85104,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_85058,c_12995,c_18402]) ).
tcf(c_85108,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_85062,c_12995,c_18402]) ).
tcf(c_85113,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_85049,c_82728]) ).
tcf(c_85114,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_85113,c_12995,c_18402]) ).
tcf(c_85314,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_85067,c_228]) ).
tcf(c_85315,plain,
cons(sK60,cons(sK60,iPr_def_12)) = app(iPr_def_10,cons(sK60,iPr_def_12)),
inference(superposition,[status(thm)],[c_85067,c_19073]) ).
tcf(c_85316,plain,
app(sK12(cons(sK60,iPr_def_12),nil),nil) = cons(sK60,iPr_def_12),
inference(superposition,[status(thm)],[c_85067,c_18475]) ).
tcf(c_85317,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_85067,c_18447]) ).
tcf(c_85318,plain,
app(nil,sK11(cons(sK60,iPr_def_12),nil)) = cons(sK60,iPr_def_12),
inference(superposition,[status(thm)],[c_85067,c_17916]) ).
tcf(c_85319,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_85067,c_17876]) ).
tcf(c_85320,plain,
app(app(sK59,cons(sK60,iPr_def_12)),sK59) = app(sK59,app(cons(sK60,iPr_def_12),sK59)),
inference(superposition,[status(thm)],[c_85067,c_74603]) ).
tcf(c_85321,plain,
app(app(sK56,cons(sK60,iPr_def_12)),sK59) = app(sK56,app(cons(sK60,iPr_def_12),sK59)),
inference(superposition,[status(thm)],[c_85067,c_74602]) ).
tcf(c_85322,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_85067,c_23050]) ).
tcf(c_85323,plain,
cons(sK57,cons(sK60,iPr_def_12)) = app(iPr_def_11,cons(sK60,iPr_def_12)),
inference(superposition,[status(thm)],[c_85067,c_16754]) ).
tcf(c_85324,plain,
app(app(sK58,cons(sK60,iPr_def_12)),sK56) = app(sK58,app(cons(sK60,iPr_def_12),sK56)),
inference(superposition,[status(thm)],[c_85067,c_64254]) ).
tcf(c_85325,plain,
app(app(sK59,cons(sK60,iPr_def_12)),sK56) = app(sK59,app(cons(sK60,iPr_def_12),sK56)),
inference(superposition,[status(thm)],[c_85067,c_64253]) ).
tcf(c_85326,plain,
app(app(sK56,cons(sK60,iPr_def_12)),sK56) = app(sK56,app(cons(sK60,iPr_def_12),sK56)),
inference(superposition,[status(thm)],[c_85067,c_64252]) ).
tcf(c_85327,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_85067,c_23049]) ).
tcf(c_85328,plain,
hd(app(iPr_def_11,cons(sK60,iPr_def_12))) = sK57,
inference(superposition,[status(thm)],[c_85067,c_19361]) ).
tcf(c_85329,plain,
hd(cons(sK60,cons(sK60,iPr_def_12))) = sK60,
inference(superposition,[status(thm)],[c_85067,c_19068]) ).
tcf(c_85330,plain,
tl(cons(sK60,cons(sK60,iPr_def_12))) = cons(sK60,iPr_def_12),
inference(superposition,[status(thm)],[c_85067,c_19067]) ).
tcf(c_85331,plain,
cons(sK57,app(cons(sK60,iPr_def_12),sK58)) = app(cons(sK57,cons(sK60,iPr_def_12)),sK58),
inference(superposition,[status(thm)],[c_85067,c_37537]) ).
tcf(c_85332,plain,
tl(cons(sK7,cons(sK60,iPr_def_12))) = cons(sK60,iPr_def_12),
inference(superposition,[status(thm)],[c_85067,c_14098]) ).
tcf(c_85333,plain,
tl(cons(sK6,cons(sK60,iPr_def_12))) = cons(sK60,iPr_def_12),
inference(superposition,[status(thm)],[c_85067,c_14097]) ).
tcf(c_85334,plain,
cons(sK57,app(cons(sK60,iPr_def_12),sK59)) = app(cons(sK57,cons(sK60,iPr_def_12)),sK59),
inference(superposition,[status(thm)],[c_85067,c_37536]) ).
tcf(c_85335,plain,
hd(cons(sK7,cons(sK60,iPr_def_12))) = sK7,
inference(superposition,[status(thm)],[c_85067,c_13924]) ).
tcf(c_85336,plain,
hd(cons(sK6,cons(sK60,iPr_def_12))) = sK6,
inference(superposition,[status(thm)],[c_85067,c_13923]) ).
tcf(c_85337,plain,
cons(sK57,app(cons(sK60,iPr_def_12),sK56)) = app(cons(sK57,cons(sK60,iPr_def_12)),sK56),
inference(superposition,[status(thm)],[c_85067,c_37535]) ).
tcf(c_85338,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_85067,c_22705]) ).
tcf(c_85339,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK60,iPr_def_12)) = tl(app(sK58,cons(sK60,iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_85067,c_21826]) ).
tcf(c_85340,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK60,iPr_def_12)) = tl(app(sK59,cons(sK60,iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_85067,c_21825]) ).
tcf(c_85341,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK60,iPr_def_12)) = tl(app(sK56,cons(sK60,iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_85067,c_21824]) ).
tcf(c_85342,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_85067,c_124]) ).
tcf(c_85343,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_85067,c_116]) ).
tcf(c_85344,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_85067,c_108]) ).
tcf(c_85345,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK60,iPr_def_12))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_85067,c_19350]) ).
tcf(c_85346,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_85067,c_234]) ).
tcf(c_85347,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK60,iPr_def_12))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_85067,c_19349]) ).
tcf(c_85348,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK60,iPr_def_12))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_85067,c_19348]) ).
tcf(c_85349,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_85067,c_132]) ).
tcf(c_85350,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_85067,c_233]) ).
tcf(c_85351,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_85067,c_224]) ).
tcf(c_85352,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_85067,c_147]) ).
tcf(c_85353,plain,
tl(cons(sK57,cons(sK60,iPr_def_12))) = cons(sK60,iPr_def_12),
inference(superposition,[status(thm)],[c_85067,c_14117]) ).
tcf(c_85354,plain,
hd(cons(sK57,cons(sK60,iPr_def_12))) = sK57,
inference(superposition,[status(thm)],[c_85067,c_13943]) ).
tcf(c_85355,plain,
( ( cons(sK60,iPr_def_12) = nil )
| ( tl(cons(sK60,iPr_def_12)) = sK52(cons(sK60,iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_85067,c_222]) ).
tcf(c_85356,plain,
( ( cons(sK60,iPr_def_12) = nil )
| ( hd(cons(sK60,iPr_def_12)) = sK51(cons(sK60,iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_85067,c_220]) ).
tcf(c_85357,plain,
( duplicatefreeP(cons(sK60,iPr_def_12))
| ( sK40(cons(sK60,iPr_def_12)) = sK41(cons(sK60,iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_85067,c_123]) ).
tcf(c_85358,plain,
app(cons(sK60,iPr_def_12),nil) = cons(sK60,iPr_def_12),
inference(superposition,[status(thm)],[c_85067,c_232]) ).
tcf(c_85359,plain,
app(nil,cons(sK60,iPr_def_12)) = cons(sK60,iPr_def_12),
inference(superposition,[status(thm)],[c_85067,c_155]) ).
tcf(c_85368,plain,
( ( cons(sK60,iPr_def_12) = nil )
| ( sK51(cons(sK60,iPr_def_12)) = sK60 ) ),
inference(light_normalisation,[status(thm)],[c_85356,c_51108]) ).
tcf(c_85371,plain,
( ( cons(sK60,iPr_def_12) = nil )
| ( sK52(cons(sK60,iPr_def_12)) = iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_85355,c_50553]) ).
tcf(c_85389,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_85350,c_51108]) ).
tcf(c_85396,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_85346,c_50553]) ).
tcf(c_85538,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_83567,c_173]) ).
tcf(c_85539,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_83567,c_174]) ).
tcf(c_85540,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_83567,c_63]) ).
tcf(c_85541,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_83567,c_178]) ).
tcf(c_85542,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_83567,c_179]) ).
tcf(c_85543,plain,
( ( sK57 = sK60 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK56)
| ~ ssItem(sK60)
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_83567,c_27753]) ).
tcf(c_85545,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_85540,c_83536]) ).
tcf(c_85549,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_85539,c_83536]) ).
tcf(c_85554,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_85538,c_83536]) ).
tcf(c_85560,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_85542,c_9004,c_18410]) ).
tcf(c_85566,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_85541,c_9004,c_18410]) ).
tcf(c_85607,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_83834,c_67]) ).
tcf(c_85610,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_83834,c_167]) ).
tcf(c_85613,plain,
( frontsegP(cons(sK60,sK56),sK12(cons(sK60,sK56),sK56))
| ~ ssList(sK56)
| ~ ssList(sK12(cons(sK60,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_83834,c_386]) ).
tcf(c_85616,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_83834,c_225]) ).
tcf(c_85617,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_83834,c_226]) ).
tcf(c_85618,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_83834,c_176]) ).
tcf(c_85619,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_83834,c_165]) ).
tcf(c_85620,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_83834,c_193]) ).
tcf(c_85621,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_83834,c_186]) ).
tcf(c_85622,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_83834,c_166]) ).
tcf(c_85623,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_83834,c_39002]) ).
tcf(c_85625,plain,
( frontsegP(cons(sK60,sK56),sK12(cons(sK60,sK56),sK56))
| ~ ssList(sK12(cons(sK60,sK56),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85613,c_9004]) ).
tcf(c_85633,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_85619,c_9004]) ).
tcf(c_85638,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_85618,c_9004]) ).
tcf(c_85644,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_85610,c_9004]) ).
tcf(c_85650,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_85617,c_9004]) ).
tcf(c_85655,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_85616,c_9004]) ).
tcf(c_85660,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_85607,c_83834]) ).
tcf(c_85661,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_85660,c_9004]) ).
tcf(c_85696,plain,
~ rearsegP(sK56,cons(sK60,sK56)),
inference(global_subsumption_just,[status(thm)],[c_83835,c_83543,c_83835]) ).
tcf(c_85709,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_83879,c_70]) ).
tcf(c_85710,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_83879,c_190]) ).
tcf(c_85711,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_83879,c_191]) ).
tcf(c_85712,plain,
! [X0: $i] :
( ( cons(sK60,sK59) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,cons(sK60,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85711,c_83868]) ).
tcf(c_85717,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_85710,c_83868]) ).
tcf(c_85723,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_85709,c_83868]) ).
tcf(c_85793,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_83890,c_57]) ).
tcf(c_85794,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_83890,c_12668]) ).
tcf(c_85796,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_85794,c_83868]) ).
tcf(c_85800,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_85793,c_83868]) ).
tcf(c_85812,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_83894,c_183]) ).
tcf(c_85813,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_83894,c_184]) ).
tcf(c_85814,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_83894,c_66]) ).
tcf(c_85815,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_85814,c_83868]) ).
tcf(c_85819,plain,
! [X0: $i] :
( ( cons(sK60,sK59) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ rearsegP(X0,cons(sK60,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85813,c_83868]) ).
tcf(c_85824,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_85812,c_83868]) ).
tcf(c_85838,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_83898,c_57]) ).
tcf(c_85839,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_83898,c_12668]) ).
tcf(c_85840,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ( X0 = sK60 )
| ~ ssList(sK59)
| ~ ssItem(sK60)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_83898,c_170]) ).
tcf(c_85841,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ( X0 = sK60 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85840,c_9003,c_18410]) ).
tcf(c_85846,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_85839,c_83868]) ).
tcf(c_85850,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_85838,c_83868]) ).
tcf(c_85863,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_83902,c_173]) ).
tcf(c_85864,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_83902,c_174]) ).
tcf(c_85865,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_83902,c_63]) ).
tcf(c_85866,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_83902,c_178]) ).
tcf(c_85867,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_83902,c_179]) ).
tcf(c_85868,plain,
( ( sK57 = sK60 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ ssItem(sK60)
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_83902,c_27753]) ).
tcf(c_85870,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_85865,c_83868]) ).
tcf(c_85874,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_85864,c_83868]) ).
tcf(c_85879,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_85863,c_83868]) ).
tcf(c_85885,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_85867,c_9003,c_18410]) ).
tcf(c_85900,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( app(sK56,tl(sK56)) = nil )
| ( app(sK56,tl(sK56)) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK56,tl(sK56)))
| ( hd(X0) != hd(sK56) )
| ( tl(app(sK56,tl(sK56))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_20666,c_223]) ).
tcf(c_85901,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK56,tl(sK56))))
| ( nil = sK56 )
| ( app(sK56,tl(sK56)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,hd(sK56))
| ~ strictorderedP(app(sK56,tl(sK56)))
| ~ ssList(app(sK56,tl(sK56))) ),
inference(superposition,[status(thm)],[c_20666,c_212]) ).
tcf(c_85902,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK56,tl(sK56))))
| ( nil = sK56 )
| ( app(sK56,tl(sK56)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,hd(sK56))
| ~ totalorderedP(app(sK56,tl(sK56)))
| ~ ssList(app(sK56,tl(sK56))) ),
inference(superposition,[status(thm)],[c_20666,c_206]) ).
tcf(c_85927,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_85068,c_183]) ).
tcf(c_85928,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_85068,c_184]) ).
tcf(c_85929,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_85068,c_66]) ).
tcf(c_85930,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_85929,c_12995,c_85067]) ).
tcf(c_85931,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_85928,c_12995,c_85067]) ).
tcf(c_85935,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_85069,c_173]) ).
tcf(c_85936,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_85069,c_174]) ).
tcf(c_85937,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_85069,c_63]) ).
tcf(c_85938,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_85937,c_18402,c_85067]) ).
tcf(c_85939,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_85936,c_18402,c_85067]) ).
tcf(c_85943,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_84021,c_67]) ).
tcf(c_85949,plain,
( frontsegP(cons(sK60,sK59),cons(sK60,sK59))
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_84021,c_386]) ).
tcf(c_85950,plain,
( rearsegP(cons(sK60,sK59),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_84021,c_383]) ).
tcf(c_85952,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_84021,c_225]) ).
tcf(c_85953,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_84021,c_226]) ).
tcf(c_85956,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_84021,c_193]) ).
tcf(c_85957,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK59),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_84021,c_186]) ).
tcf(c_85962,plain,
rearsegP(cons(sK60,sK59),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_85950,c_141,c_83868]) ).
tcf(c_85963,plain,
frontsegP(cons(sK60,sK59),cons(sK60,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_85949,c_141,c_83868]) ).
tcf(c_85964,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK59),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85957,c_141,c_83868]) ).
tcf(c_85968,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_85956,c_141,c_83868]) ).
tcf(c_85973,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(cons(sK60,sK59),X0) != cons(sK60,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85953,c_141,c_83868]) ).
tcf(c_85977,plain,
! [X0: $i] :
( ( cons(sK60,sK59) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != cons(sK60,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85952,c_141,c_83868]) ).
tcf(c_85981,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_85943,c_84021]) ).
tcf(c_85982,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_85981,c_141,c_83868]) ).
tcf(c_85990,plain,
( ( cons(sK60,sK59) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK59))
| ~ rearsegP(nil,cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_85962,c_184]) ).
tcf(c_85992,plain,
~ rearsegP(nil,cons(sK60,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_85990,c_83889,c_141,c_83868]) ).
tcf(c_85998,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_82729,c_67]) ).
tcf(c_86001,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_82729,c_167]) ).
tcf(c_86003,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ( cons(sK60,iPr_def_11) != nil ) ),
inference(superposition,[status(thm)],[c_82729,c_230]) ).
tcf(c_86004,plain,
( frontsegP(cons(sK60,iPr_def_11),iPr_def_10)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_82729,c_386]) ).
tcf(c_86005,plain,
( rearsegP(cons(sK60,iPr_def_11),iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_82729,c_383]) ).
tcf(c_86006,plain,
( ssList(cons(sK60,iPr_def_11))
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_82729,c_153]) ).
tcf(c_86007,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_82729,c_225]) ).
tcf(c_86008,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_82729,c_226]) ).
tcf(c_86009,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_82729,c_176]) ).
tcf(c_86010,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_82729,c_165]) ).
tcf(c_86011,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_82729,c_193]) ).
tcf(c_86012,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_82729,c_186]) ).
tcf(c_86013,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_82729,c_166]) ).
tcf(c_86014,plain,
( ( sK58 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( cons(sK60,iPr_def_11) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_82729,c_25428]) ).
tcf(c_86015,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_82729,c_12240]) ).
tcf(c_86016,plain,
( segmentP(cons(sK60,iPr_def_11),sK59)
| ~ ssList(iPr_def_11)
| ~ ssList(app(iPr_def_10,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_82729,c_26480]) ).
tcf(c_86017,plain,
! [X0: $i] :
( segmentP(cons(sK60,iPr_def_11),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_82729,c_27061]) ).
tcf(c_86018,plain,
ssList(cons(sK60,iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_86006,c_12859,c_18402]) ).
tcf(c_86019,plain,
rearsegP(cons(sK60,iPr_def_11),iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_86005,c_12859,c_18402]) ).
tcf(c_86020,plain,
frontsegP(cons(sK60,iPr_def_11),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_86004,c_12859,c_18402]) ).
tcf(c_86021,plain,
( segmentP(cons(sK60,iPr_def_11),sK59)
| ~ ssList(iPr_def_11)
| ~ ssList(cons(sK60,iPr_def_11)) ),
inference(light_normalisation,[status(thm)],[c_86016,c_82729]) ).
tcf(c_86022,plain,
( segmentP(cons(sK60,iPr_def_11),sK59)
| ~ ssList(cons(sK60,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86021,c_12859]) ).
tcf(c_86025,plain,
( memberP(cons(sK60,iPr_def_11),sK57)
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK60,iPr_def_11)) ),
inference(light_normalisation,[status(thm)],[c_86015,c_82729]) ).
tcf(c_86026,plain,
( memberP(cons(sK60,iPr_def_11),sK57)
| ~ ssList(cons(sK60,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86025,c_18402]) ).
tcf(c_86029,plain,
( ( sK58 = iPr_def_10 )
| ( cons(sK60,iPr_def_11) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86014,c_18402]) ).
tcf(c_86032,plain,
! [X0: $i] :
( segmentP(cons(sK60,iPr_def_11),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86017,c_12859]) ).
tcf(c_86036,plain,
cons(sK60,iPr_def_11) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_86003,c_13900,c_12859,c_18402]) ).
tcf(c_86037,plain,
! [X0: $i] :
( memberP(cons(sK60,iPr_def_11),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86013,c_12859,c_18402]) ).
tcf(c_86041,plain,
! [X0: $i] :
( rearsegP(cons(sK60,iPr_def_11),X0)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86012,c_12859,c_18402]) ).
tcf(c_86045,plain,
! [X0: $i] :
( memberP(cons(sK60,iPr_def_11),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86010,c_12859,c_18402]) ).
tcf(c_86049,plain,
! [X0: $i] :
( frontsegP(cons(sK60,iPr_def_11),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86009,c_12859,c_18402]) ).
tcf(c_86053,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_86001,c_12859,c_18402]) ).
tcf(c_86058,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_86008,c_12859,c_18402]) ).
tcf(c_86062,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_86007,c_12859,c_18402]) ).
tcf(c_86066,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_86011,c_12859,c_18402]) ).
tcf(c_86071,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_85998,c_82729]) ).
tcf(c_86072,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_86071,c_12859,c_18402]) ).
tcf(c_86492,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_84369,c_67]) ).
tcf(c_86495,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_84369,c_167]) ).
tcf(c_86498,plain,
( frontsegP(cons(sK60,sK59),sK12(cons(sK60,sK59),sK59))
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK60,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_84369,c_386]) ).
tcf(c_86501,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_84369,c_225]) ).
tcf(c_86502,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_84369,c_226]) ).
tcf(c_86503,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_84369,c_176]) ).
tcf(c_86504,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_84369,c_165]) ).
tcf(c_86505,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_84369,c_193]) ).
tcf(c_86506,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_84369,c_186]) ).
tcf(c_86507,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_84369,c_166]) ).
tcf(c_86508,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_84369,c_42707]) ).
tcf(c_86509,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_84369,c_25424]) ).
tcf(c_86511,plain,
( frontsegP(cons(sK60,sK59),sK12(cons(sK60,sK59),sK59))
| ~ ssList(sK12(cons(sK60,sK59),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86498,c_9003]) ).
tcf(c_86522,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_86504,c_9003]) ).
tcf(c_86527,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_86503,c_9003]) ).
tcf(c_86533,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_86495,c_9003]) ).
tcf(c_86539,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_86502,c_9003]) ).
tcf(c_86544,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_86501,c_9003]) ).
tcf(c_86549,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_86492,c_84369]) ).
tcf(c_86550,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_86549,c_9003]) ).
tcf(c_86560,plain,
~ rearsegP(sK59,cons(sK60,sK59)),
inference(global_subsumption_just,[status(thm)],[c_84370,c_83875,c_84370]) ).
tcf(c_86568,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_84410,c_70]) ).
tcf(c_86569,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_84410,c_190]) ).
tcf(c_86570,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_84410,c_191]) ).
tcf(c_86571,plain,
! [X0: $i] :
( ( cons(sK60,sK58) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,cons(sK60,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86570,c_84402]) ).
tcf(c_86576,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_86569,c_84402]) ).
tcf(c_86582,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_86568,c_84402]) ).
tcf(c_86595,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_84421,c_57]) ).
tcf(c_86596,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_84421,c_12668]) ).
tcf(c_86598,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_86596,c_84402]) ).
tcf(c_86602,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_86595,c_84402]) ).
tcf(c_86614,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_84425,c_183]) ).
tcf(c_86615,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_84425,c_184]) ).
tcf(c_86616,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_84425,c_66]) ).
tcf(c_86617,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_86616,c_84402]) ).
tcf(c_86621,plain,
! [X0: $i] :
( ( cons(sK60,sK58) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ rearsegP(X0,cons(sK60,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86615,c_84402]) ).
tcf(c_86626,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_86614,c_84402]) ).
tcf(c_86640,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_84429,c_57]) ).
tcf(c_86641,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_84429,c_12668]) ).
tcf(c_86642,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ( X0 = sK60 )
| ~ ssList(sK58)
| ~ ssItem(sK60)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_84429,c_170]) ).
tcf(c_86643,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ( X0 = sK60 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86642,c_9000,c_18410]) ).
tcf(c_86648,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_86641,c_84402]) ).
tcf(c_86652,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_86640,c_84402]) ).
tcf(c_86665,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_84433,c_173]) ).
tcf(c_86666,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_84433,c_174]) ).
tcf(c_86667,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_84433,c_63]) ).
tcf(c_86668,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_84433,c_178]) ).
tcf(c_86669,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_84433,c_179]) ).
tcf(c_86670,plain,
( ( sK57 = sK60 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssItem(sK60)
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_84433,c_27753]) ).
tcf(c_86672,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_86667,c_84402]) ).
tcf(c_86676,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_86666,c_84402]) ).
tcf(c_86681,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_86665,c_84402]) ).
tcf(c_86687,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_86669,c_9000,c_18410]) ).
tcf(c_86696,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_84606,c_67]) ).
tcf(c_86699,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_84606,c_167]) ).
tcf(c_86702,plain,
( frontsegP(cons(sK60,sK58),sK12(cons(sK60,sK58),sK58))
| ~ ssList(sK58)
| ~ ssList(sK12(cons(sK60,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_84606,c_386]) ).
tcf(c_86705,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_84606,c_225]) ).
tcf(c_86706,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_84606,c_226]) ).
tcf(c_86707,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_84606,c_176]) ).
tcf(c_86708,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_84606,c_165]) ).
tcf(c_86709,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_84606,c_193]) ).
tcf(c_86710,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_84606,c_186]) ).
tcf(c_86711,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_84606,c_166]) ).
tcf(c_86712,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_84606,c_45969]) ).
tcf(c_86714,plain,
( frontsegP(cons(sK60,sK58),sK12(cons(sK60,sK58),sK58))
| ~ ssList(sK12(cons(sK60,sK58),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86702,c_9000]) ).
tcf(c_86722,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_86708,c_9000]) ).
tcf(c_86727,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_86707,c_9000]) ).
tcf(c_86733,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_86699,c_9000]) ).
tcf(c_86739,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_86706,c_9000]) ).
tcf(c_86744,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_86705,c_9000]) ).
tcf(c_86749,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_86696,c_84606]) ).
tcf(c_86750,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_86749,c_9000]) ).
tcf(c_86767,plain,
( ssItem(hd(sK56))
| ( nil = sK59 )
| ( nil = sK56 )
| ( app(sK56,tl(sK59)) = nil )
| ~ ssList(app(sK56,tl(sK59))) ),
inference(superposition,[status(thm)],[c_20667,c_149]) ).
tcf(c_86768,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( nil = sK56 )
| ( X0 = nil )
| ( app(sK56,tl(sK59)) = nil )
| ( app(sK56,tl(sK59)) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK56,tl(sK59)))
| ( hd(X0) != hd(sK56) )
| ( tl(app(sK56,tl(sK59))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_20667,c_223]) ).
tcf(c_86769,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK56,tl(sK59))))
| ( nil = sK59 )
| ( nil = sK56 )
| ( app(sK56,tl(sK59)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,hd(sK56))
| ~ strictorderedP(app(sK56,tl(sK59)))
| ~ ssList(app(sK56,tl(sK59))) ),
inference(superposition,[status(thm)],[c_20667,c_212]) ).
tcf(c_86770,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK56,tl(sK59))))
| ( nil = sK59 )
| ( nil = sK56 )
| ( app(sK56,tl(sK59)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,hd(sK56))
| ~ totalorderedP(app(sK56,tl(sK59)))
| ~ ssList(app(sK56,tl(sK59))) ),
inference(superposition,[status(thm)],[c_20667,c_206]) ).
tcf(c_86803,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_86018,c_228]) ).
tcf(c_86804,plain,
cons(sK60,cons(sK60,iPr_def_11)) = app(iPr_def_10,cons(sK60,iPr_def_11)),
inference(superposition,[status(thm)],[c_86018,c_19073]) ).
tcf(c_86805,plain,
app(sK12(cons(sK60,iPr_def_11),nil),nil) = cons(sK60,iPr_def_11),
inference(superposition,[status(thm)],[c_86018,c_18475]) ).
tcf(c_86806,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_86018,c_18447]) ).
tcf(c_86807,plain,
app(nil,sK11(cons(sK60,iPr_def_11),nil)) = cons(sK60,iPr_def_11),
inference(superposition,[status(thm)],[c_86018,c_17916]) ).
tcf(c_86808,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_86018,c_17876]) ).
tcf(c_86809,plain,
app(app(sK59,cons(sK60,iPr_def_11)),sK59) = app(sK59,app(cons(sK60,iPr_def_11),sK59)),
inference(superposition,[status(thm)],[c_86018,c_74603]) ).
tcf(c_86810,plain,
app(app(sK56,cons(sK60,iPr_def_11)),sK59) = app(sK56,app(cons(sK60,iPr_def_11),sK59)),
inference(superposition,[status(thm)],[c_86018,c_74602]) ).
tcf(c_86811,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_86018,c_23050]) ).
tcf(c_86812,plain,
cons(sK57,cons(sK60,iPr_def_11)) = app(iPr_def_11,cons(sK60,iPr_def_11)),
inference(superposition,[status(thm)],[c_86018,c_16754]) ).
tcf(c_86813,plain,
app(app(sK58,cons(sK60,iPr_def_11)),sK56) = app(sK58,app(cons(sK60,iPr_def_11),sK56)),
inference(superposition,[status(thm)],[c_86018,c_64254]) ).
tcf(c_86814,plain,
app(app(sK59,cons(sK60,iPr_def_11)),sK56) = app(sK59,app(cons(sK60,iPr_def_11),sK56)),
inference(superposition,[status(thm)],[c_86018,c_64253]) ).
tcf(c_86815,plain,
app(app(sK56,cons(sK60,iPr_def_11)),sK56) = app(sK56,app(cons(sK60,iPr_def_11),sK56)),
inference(superposition,[status(thm)],[c_86018,c_64252]) ).
tcf(c_86816,plain,
! [X0: $i] :
( ( app(app(cons(sK60,iPr_def_11),X0),sK56) = app(cons(sK60,iPr_def_11),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_86018,c_23049]) ).
tcf(c_86817,plain,
hd(app(iPr_def_11,cons(sK60,iPr_def_11))) = sK57,
inference(superposition,[status(thm)],[c_86018,c_19361]) ).
tcf(c_86818,plain,
hd(cons(sK60,cons(sK60,iPr_def_11))) = sK60,
inference(superposition,[status(thm)],[c_86018,c_19068]) ).
tcf(c_86819,plain,
tl(cons(sK60,cons(sK60,iPr_def_11))) = cons(sK60,iPr_def_11),
inference(superposition,[status(thm)],[c_86018,c_19067]) ).
tcf(c_86820,plain,
cons(sK57,app(cons(sK60,iPr_def_11),sK58)) = app(cons(sK57,cons(sK60,iPr_def_11)),sK58),
inference(superposition,[status(thm)],[c_86018,c_37537]) ).
tcf(c_86821,plain,
tl(cons(sK7,cons(sK60,iPr_def_11))) = cons(sK60,iPr_def_11),
inference(superposition,[status(thm)],[c_86018,c_14098]) ).
tcf(c_86822,plain,
tl(cons(sK6,cons(sK60,iPr_def_11))) = cons(sK60,iPr_def_11),
inference(superposition,[status(thm)],[c_86018,c_14097]) ).
tcf(c_86823,plain,
cons(sK57,app(cons(sK60,iPr_def_11),sK59)) = app(cons(sK57,cons(sK60,iPr_def_11)),sK59),
inference(superposition,[status(thm)],[c_86018,c_37536]) ).
tcf(c_86824,plain,
hd(cons(sK7,cons(sK60,iPr_def_11))) = sK7,
inference(superposition,[status(thm)],[c_86018,c_13924]) ).
tcf(c_86825,plain,
hd(cons(sK6,cons(sK60,iPr_def_11))) = sK6,
inference(superposition,[status(thm)],[c_86018,c_13923]) ).
tcf(c_86826,plain,
cons(sK57,app(cons(sK60,iPr_def_11),sK56)) = app(cons(sK57,cons(sK60,iPr_def_11)),sK56),
inference(superposition,[status(thm)],[c_86018,c_37535]) ).
tcf(c_86827,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_86018,c_22705]) ).
tcf(c_86828,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK60,iPr_def_11)) = tl(app(sK58,cons(sK60,iPr_def_11))) ) ),
inference(superposition,[status(thm)],[c_86018,c_21826]) ).
tcf(c_86829,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK60,iPr_def_11)) = tl(app(sK59,cons(sK60,iPr_def_11))) ) ),
inference(superposition,[status(thm)],[c_86018,c_21825]) ).
tcf(c_86830,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK60,iPr_def_11)) = tl(app(sK56,cons(sK60,iPr_def_11))) ) ),
inference(superposition,[status(thm)],[c_86018,c_21824]) ).
tcf(c_86831,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_86018,c_124]) ).
tcf(c_86832,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_86018,c_116]) ).
tcf(c_86833,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_86018,c_108]) ).
tcf(c_86834,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK60,iPr_def_11))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_86018,c_19350]) ).
tcf(c_86835,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_86018,c_234]) ).
tcf(c_86836,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK60,iPr_def_11))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_86018,c_19349]) ).
tcf(c_86837,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK60,iPr_def_11))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_86018,c_19348]) ).
tcf(c_86838,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_86018,c_132]) ).
tcf(c_86839,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_86018,c_233]) ).
tcf(c_86840,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_86018,c_224]) ).
tcf(c_86841,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_86018,c_147]) ).
tcf(c_86842,plain,
tl(cons(sK57,cons(sK60,iPr_def_11))) = cons(sK60,iPr_def_11),
inference(superposition,[status(thm)],[c_86018,c_14117]) ).
tcf(c_86843,plain,
hd(cons(sK57,cons(sK60,iPr_def_11))) = sK57,
inference(superposition,[status(thm)],[c_86018,c_13943]) ).
tcf(c_86844,plain,
( ( cons(sK60,iPr_def_11) = nil )
| ( tl(cons(sK60,iPr_def_11)) = sK52(cons(sK60,iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_86018,c_222]) ).
tcf(c_86845,plain,
( ( cons(sK60,iPr_def_11) = nil )
| ( hd(cons(sK60,iPr_def_11)) = sK51(cons(sK60,iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_86018,c_220]) ).
tcf(c_86846,plain,
( duplicatefreeP(cons(sK60,iPr_def_11))
| ( sK40(cons(sK60,iPr_def_11)) = sK41(cons(sK60,iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_86018,c_123]) ).
tcf(c_86847,plain,
app(cons(sK60,iPr_def_11),nil) = cons(sK60,iPr_def_11),
inference(superposition,[status(thm)],[c_86018,c_232]) ).
tcf(c_86848,plain,
app(nil,cons(sK60,iPr_def_11)) = cons(sK60,iPr_def_11),
inference(superposition,[status(thm)],[c_86018,c_155]) ).
tcf(c_86857,plain,
( ( cons(sK60,iPr_def_11) = nil )
| ( sK51(cons(sK60,iPr_def_11)) = sK60 ) ),
inference(light_normalisation,[status(thm)],[c_86845,c_51109]) ).
tcf(c_86860,plain,
( ( cons(sK60,iPr_def_11) = nil )
| ( sK52(cons(sK60,iPr_def_11)) = iPr_def_11 ) ),
inference(light_normalisation,[status(thm)],[c_86844,c_50554]) ).
tcf(c_86878,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_86839,c_51109]) ).
tcf(c_86885,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_86835,c_50554]) ).
tcf(c_86946,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_86019,c_183]) ).
tcf(c_86947,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_86019,c_184]) ).
tcf(c_86948,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_86019,c_66]) ).
tcf(c_86949,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_86948,c_12859,c_86018]) ).
tcf(c_86950,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_86947,c_12859,c_86018]) ).
tcf(c_87027,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_86020,c_173]) ).
tcf(c_87028,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_86020,c_174]) ).
tcf(c_87029,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_86020,c_63]) ).
tcf(c_87030,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_87029,c_18402,c_86018]) ).
tcf(c_87031,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_87028,c_18402,c_86018]) ).
tcf(c_87035,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,iPr_def_10),X0),iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_10,iPr_def_10),X0)) ),
inference(superposition,[status(thm)],[c_82730,c_67]) ).
tcf(c_87038,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_82730,c_167]) ).
tcf(c_87039,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( cons(sK60,iPr_def_10) != nil ) ),
inference(superposition,[status(thm)],[c_82730,c_231]) ).
tcf(c_87041,plain,
( frontsegP(cons(sK60,iPr_def_10),iPr_def_10)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_82730,c_386]) ).
tcf(c_87042,plain,
( rearsegP(cons(sK60,iPr_def_10),iPr_def_10)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_82730,c_383]) ).
tcf(c_87043,plain,
( ssList(cons(sK60,iPr_def_10))
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_82730,c_153]) ).
tcf(c_87044,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ( app(X0,iPr_def_10) != cons(sK60,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_82730,c_225]) ).
tcf(c_87045,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != cons(sK60,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_82730,c_226]) ).
tcf(c_87046,plain,
! [X0: $i] :
( frontsegP(cons(sK60,iPr_def_10),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_82730,c_176]) ).
tcf(c_87048,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,iPr_def_10),X1),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_82730,c_193]) ).
tcf(c_87049,plain,
! [X0: $i] :
( rearsegP(cons(sK60,iPr_def_10),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_82730,c_186]) ).
tcf(c_87050,plain,
! [X0: $i] :
( memberP(cons(sK60,iPr_def_10),X0)
| ~ ssList(iPr_def_10)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_82730,c_166]) ).
tcf(c_87051,plain,
( segmentP(cons(sK60,iPr_def_10),sK59)
| ~ ssList(iPr_def_10)
| ~ ssList(app(iPr_def_10,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_82730,c_26480]) ).
tcf(c_87052,plain,
! [X0: $i] :
( segmentP(cons(sK60,iPr_def_10),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_82730,c_27061]) ).
tcf(c_87053,plain,
ssList(cons(sK60,iPr_def_10)),
inference(forward_subsumption_resolution,[status(thm)],[c_87043,c_18402]) ).
tcf(c_87054,plain,
rearsegP(cons(sK60,iPr_def_10),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_87042,c_18402]) ).
tcf(c_87055,plain,
frontsegP(cons(sK60,iPr_def_10),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_87041,c_18402]) ).
tcf(c_87056,plain,
( segmentP(cons(sK60,iPr_def_10),sK59)
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK60,iPr_def_10)) ),
inference(light_normalisation,[status(thm)],[c_87051,c_82730]) ).
tcf(c_87057,plain,
( segmentP(cons(sK60,iPr_def_10),sK59)
| ~ ssList(cons(sK60,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87056,c_18402]) ).
tcf(c_87060,plain,
cons(sK60,iPr_def_10) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_87039,c_18417,c_18402]) ).
tcf(c_87061,plain,
! [X0: $i] :
( segmentP(cons(sK60,iPr_def_10),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87052,c_18402]) ).
tcf(c_87065,plain,
! [X0: $i] :
( memberP(cons(sK60,iPr_def_10),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87050,c_18402]) ).
tcf(c_87069,plain,
! [X0: $i] :
( rearsegP(cons(sK60,iPr_def_10),X0)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87049,c_18402]) ).
tcf(c_87073,plain,
! [X0: $i] :
( frontsegP(cons(sK60,iPr_def_10),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87046,c_18402]) ).
tcf(c_87077,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,iPr_def_10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87038,c_18402]) ).
tcf(c_87081,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != cons(sK60,iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87045,c_18402]) ).
tcf(c_87085,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(X0,iPr_def_10) != cons(sK60,iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87044,c_18402]) ).
tcf(c_87089,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,iPr_def_10),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87048,c_18402]) ).
tcf(c_87094,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,iPr_def_10),X0),iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,iPr_def_10),X0)) ),
inference(light_normalisation,[status(thm)],[c_87035,c_82730]) ).
tcf(c_87095,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,iPr_def_10),X0),iPr_def_10)
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,iPr_def_10),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87094,c_18402]) ).
tcf(c_87108,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_87053,c_228]) ).
tcf(c_87109,plain,
cons(sK60,cons(sK60,iPr_def_10)) = app(iPr_def_10,cons(sK60,iPr_def_10)),
inference(superposition,[status(thm)],[c_87053,c_19073]) ).
tcf(c_87110,plain,
app(sK12(cons(sK60,iPr_def_10),nil),nil) = cons(sK60,iPr_def_10),
inference(superposition,[status(thm)],[c_87053,c_18475]) ).
tcf(c_87111,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_87053,c_18447]) ).
tcf(c_87112,plain,
app(nil,sK11(cons(sK60,iPr_def_10),nil)) = cons(sK60,iPr_def_10),
inference(superposition,[status(thm)],[c_87053,c_17916]) ).
tcf(c_87113,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_87053,c_17876]) ).
tcf(c_87114,plain,
app(app(sK59,cons(sK60,iPr_def_10)),sK59) = app(sK59,app(cons(sK60,iPr_def_10),sK59)),
inference(superposition,[status(thm)],[c_87053,c_74603]) ).
tcf(c_87115,plain,
app(app(sK56,cons(sK60,iPr_def_10)),sK59) = app(sK56,app(cons(sK60,iPr_def_10),sK59)),
inference(superposition,[status(thm)],[c_87053,c_74602]) ).
tcf(c_87116,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_87053,c_23050]) ).
tcf(c_87117,plain,
cons(sK57,cons(sK60,iPr_def_10)) = app(iPr_def_11,cons(sK60,iPr_def_10)),
inference(superposition,[status(thm)],[c_87053,c_16754]) ).
tcf(c_87118,plain,
app(app(sK58,cons(sK60,iPr_def_10)),sK56) = app(sK58,app(cons(sK60,iPr_def_10),sK56)),
inference(superposition,[status(thm)],[c_87053,c_64254]) ).
tcf(c_87119,plain,
app(app(sK59,cons(sK60,iPr_def_10)),sK56) = app(sK59,app(cons(sK60,iPr_def_10),sK56)),
inference(superposition,[status(thm)],[c_87053,c_64253]) ).
tcf(c_87120,plain,
app(app(sK56,cons(sK60,iPr_def_10)),sK56) = app(sK56,app(cons(sK60,iPr_def_10),sK56)),
inference(superposition,[status(thm)],[c_87053,c_64252]) ).
tcf(c_87121,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_87053,c_23049]) ).
tcf(c_87122,plain,
hd(app(iPr_def_11,cons(sK60,iPr_def_10))) = sK57,
inference(superposition,[status(thm)],[c_87053,c_19361]) ).
tcf(c_87123,plain,
hd(cons(sK60,cons(sK60,iPr_def_10))) = sK60,
inference(superposition,[status(thm)],[c_87053,c_19068]) ).
tcf(c_87124,plain,
tl(cons(sK60,cons(sK60,iPr_def_10))) = cons(sK60,iPr_def_10),
inference(superposition,[status(thm)],[c_87053,c_19067]) ).
tcf(c_87125,plain,
cons(sK57,app(cons(sK60,iPr_def_10),sK58)) = app(cons(sK57,cons(sK60,iPr_def_10)),sK58),
inference(superposition,[status(thm)],[c_87053,c_37537]) ).
tcf(c_87126,plain,
tl(cons(sK7,cons(sK60,iPr_def_10))) = cons(sK60,iPr_def_10),
inference(superposition,[status(thm)],[c_87053,c_14098]) ).
tcf(c_87127,plain,
tl(cons(sK6,cons(sK60,iPr_def_10))) = cons(sK60,iPr_def_10),
inference(superposition,[status(thm)],[c_87053,c_14097]) ).
tcf(c_87128,plain,
cons(sK57,app(cons(sK60,iPr_def_10),sK59)) = app(cons(sK57,cons(sK60,iPr_def_10)),sK59),
inference(superposition,[status(thm)],[c_87053,c_37536]) ).
tcf(c_87129,plain,
hd(cons(sK7,cons(sK60,iPr_def_10))) = sK7,
inference(superposition,[status(thm)],[c_87053,c_13924]) ).
tcf(c_87130,plain,
hd(cons(sK6,cons(sK60,iPr_def_10))) = sK6,
inference(superposition,[status(thm)],[c_87053,c_13923]) ).
tcf(c_87131,plain,
cons(sK57,app(cons(sK60,iPr_def_10),sK56)) = app(cons(sK57,cons(sK60,iPr_def_10)),sK56),
inference(superposition,[status(thm)],[c_87053,c_37535]) ).
tcf(c_87132,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK60,iPr_def_10))) = app(cons(sK57,X0),cons(sK60,iPr_def_10)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_87053,c_22705]) ).
tcf(c_87133,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK60,iPr_def_10)) = tl(app(sK58,cons(sK60,iPr_def_10))) ) ),
inference(superposition,[status(thm)],[c_87053,c_21826]) ).
tcf(c_87134,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK60,iPr_def_10)) = tl(app(sK59,cons(sK60,iPr_def_10))) ) ),
inference(superposition,[status(thm)],[c_87053,c_21825]) ).
tcf(c_87135,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK60,iPr_def_10)) = tl(app(sK56,cons(sK60,iPr_def_10))) ) ),
inference(superposition,[status(thm)],[c_87053,c_21824]) ).
tcf(c_87136,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_87053,c_124]) ).
tcf(c_87137,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_87053,c_116]) ).
tcf(c_87138,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_87053,c_108]) ).
tcf(c_87139,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK60,iPr_def_10))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_87053,c_19350]) ).
tcf(c_87140,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_87053,c_234]) ).
tcf(c_87141,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK60,iPr_def_10))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_87053,c_19349]) ).
tcf(c_87142,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK60,iPr_def_10))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_87053,c_19348]) ).
tcf(c_87143,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_87053,c_132]) ).
tcf(c_87144,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_87053,c_233]) ).
tcf(c_87145,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_87053,c_224]) ).
tcf(c_87146,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_87053,c_147]) ).
tcf(c_87147,plain,
tl(cons(sK57,cons(sK60,iPr_def_10))) = cons(sK60,iPr_def_10),
inference(superposition,[status(thm)],[c_87053,c_14117]) ).
tcf(c_87148,plain,
hd(cons(sK57,cons(sK60,iPr_def_10))) = sK57,
inference(superposition,[status(thm)],[c_87053,c_13943]) ).
tcf(c_87149,plain,
( ( cons(sK60,iPr_def_10) = nil )
| ( tl(cons(sK60,iPr_def_10)) = sK52(cons(sK60,iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_87053,c_222]) ).
tcf(c_87150,plain,
( ( cons(sK60,iPr_def_10) = nil )
| ( hd(cons(sK60,iPr_def_10)) = sK51(cons(sK60,iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_87053,c_220]) ).
tcf(c_87151,plain,
( duplicatefreeP(cons(sK60,iPr_def_10))
| ( sK40(cons(sK60,iPr_def_10)) = sK41(cons(sK60,iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_87053,c_123]) ).
tcf(c_87152,plain,
app(cons(sK60,iPr_def_10),nil) = cons(sK60,iPr_def_10),
inference(superposition,[status(thm)],[c_87053,c_232]) ).
tcf(c_87153,plain,
app(nil,cons(sK60,iPr_def_10)) = cons(sK60,iPr_def_10),
inference(superposition,[status(thm)],[c_87053,c_155]) ).
tcf(c_87162,plain,
( ( cons(sK60,iPr_def_10) = nil )
| ( sK51(cons(sK60,iPr_def_10)) = sK60 ) ),
inference(light_normalisation,[status(thm)],[c_87150,c_51110]) ).
tcf(c_87165,plain,
( ( cons(sK60,iPr_def_10) = nil )
| ( sK52(cons(sK60,iPr_def_10)) = iPr_def_10 ) ),
inference(light_normalisation,[status(thm)],[c_87149,c_50555]) ).
tcf(c_87183,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_87144,c_51110]) ).
tcf(c_87190,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_87140,c_50555]) ).
tcf(c_87324,plain,
! [X0: $i] :
( rearsegP(cons(sK60,iPr_def_10),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_10,X0)
| ~ ssList(cons(sK60,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_87054,c_183]) ).
tcf(c_87325,plain,
( ( cons(sK60,iPr_def_10) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK60,iPr_def_10))
| ~ rearsegP(iPr_def_10,cons(sK60,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_87054,c_184]) ).
tcf(c_87326,plain,
( ( app(sK12(cons(sK60,iPr_def_10),iPr_def_10),iPr_def_10) = cons(sK60,iPr_def_10) )
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK60,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_87054,c_66]) ).
tcf(c_87327,plain,
app(sK12(cons(sK60,iPr_def_10),iPr_def_10),iPr_def_10) = cons(sK60,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_87326,c_18402,c_87053]) ).
tcf(c_87328,plain,
( ( cons(sK60,iPr_def_10) = iPr_def_10 )
| ~ rearsegP(iPr_def_10,cons(sK60,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87325,c_18402,c_87053]) ).
tcf(c_87332,plain,
! [X0: $i] :
( frontsegP(cons(sK60,iPr_def_10),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ ssList(cons(sK60,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_87055,c_173]) ).
tcf(c_87333,plain,
( ( cons(sK60,iPr_def_10) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK60,iPr_def_10))
| ~ frontsegP(iPr_def_10,cons(sK60,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_87055,c_174]) ).
tcf(c_87334,plain,
( ( app(iPr_def_10,sK11(cons(sK60,iPr_def_10),iPr_def_10)) = cons(sK60,iPr_def_10) )
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK60,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_87055,c_63]) ).
tcf(c_87335,plain,
app(iPr_def_10,sK11(cons(sK60,iPr_def_10),iPr_def_10)) = cons(sK60,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_87334,c_18402,c_87053]) ).
tcf(c_87336,plain,
( ( cons(sK60,iPr_def_10) = iPr_def_10 )
| ~ frontsegP(iPr_def_10,cons(sK60,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87333,c_18402,c_87053]) ).
tcf(c_87340,plain,
~ rearsegP(sK58,cons(sK60,sK58)),
inference(global_subsumption_just,[status(thm)],[c_84607,c_84409,c_84607]) ).
tcf(c_87355,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_79022,c_174]) ).
tcf(c_87356,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_79022,c_63]) ).
tcf(c_87370,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_79031,c_70]) ).
tcf(c_87371,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_79031,c_190]) ).
tcf(c_87372,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_79031,c_191]) ).
tcf(c_87395,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_79036,c_70]) ).
tcf(c_87396,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_79036,c_190]) ).
tcf(c_87397,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_79036,c_191]) ).
tcf(c_87399,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_87397,c_9004]) ).
tcf(c_87403,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_87395,c_9004]) ).
tcf(c_87412,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_80912,c_70]) ).
tcf(c_87413,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_80912,c_190]) ).
tcf(c_87414,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_80912,c_191]) ).
tcf(c_87437,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_80917,c_70]) ).
tcf(c_87438,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_80917,c_190]) ).
tcf(c_87439,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_80917,c_191]) ).
tcf(c_87441,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_87439,c_9003]) ).
tcf(c_87445,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_87437,c_9003]) ).
tcf(c_87455,plain,
( ssItem(hd(sK56))
| ( nil = sK58 )
| ( nil = sK56 )
| ( app(sK56,tl(sK58)) = nil )
| ~ ssList(app(sK56,tl(sK58))) ),
inference(superposition,[status(thm)],[c_20668,c_149]) ).
tcf(c_87456,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( nil = sK56 )
| ( X0 = nil )
| ( app(sK56,tl(sK58)) = nil )
| ( app(sK56,tl(sK58)) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK56,tl(sK58)))
| ( hd(X0) != hd(sK56) )
| ( tl(app(sK56,tl(sK58))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_20668,c_223]) ).
tcf(c_87457,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK56,tl(sK58))))
| ( nil = sK58 )
| ( nil = sK56 )
| ( app(sK56,tl(sK58)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,hd(sK56))
| ~ strictorderedP(app(sK56,tl(sK58)))
| ~ ssList(app(sK56,tl(sK58))) ),
inference(superposition,[status(thm)],[c_20668,c_212]) ).
tcf(c_87458,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK56,tl(sK58))))
| ( nil = sK58 )
| ( nil = sK56 )
| ( app(sK56,tl(sK58)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,hd(sK56))
| ~ totalorderedP(app(sK56,tl(sK58)))
| ~ ssList(app(sK56,tl(sK58))) ),
inference(superposition,[status(thm)],[c_20668,c_206]) ).
tcf(c_87683,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_84022,c_122]) ).
tcf(c_87684,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_84022,c_114]) ).
tcf(c_87685,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_84022,c_130]) ).
tcf(c_87689,plain,
( memberP(cons(sK60,sK59),sK60)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(app(nil,cons(sK60,sK59))) ),
inference(superposition,[status(thm)],[c_84022,c_54]) ).
tcf(c_87690,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_84022,c_67]) ).
tcf(c_87696,plain,
( frontsegP(cons(sK60,sK59),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_84022,c_386]) ).
tcf(c_87697,plain,
( rearsegP(cons(sK60,sK59),cons(sK60,sK59))
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_84022,c_383]) ).
tcf(c_87699,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_84022,c_225]) ).
tcf(c_87703,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_84022,c_226]) ).
tcf(c_87704,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK59),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_84022,c_176]) ).
tcf(c_87706,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_84022,c_193]) ).
tcf(c_87709,plain,
frontsegP(cons(sK60,sK59),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_87696,c_141,c_83868]) ).
tcf(c_87710,plain,
rearsegP(cons(sK60,sK59),cons(sK60,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_87697,c_141,c_83868]) ).
tcf(c_87711,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87704,c_141,c_83868]) ).
tcf(c_87715,plain,
( memberP(cons(sK60,sK59),sK60)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(cons(sK60,sK59)) ),
inference(light_normalisation,[status(thm)],[c_87689,c_84022]) ).
tcf(c_87716,plain,
memberP(cons(sK60,sK59),sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_87715,c_9003,c_141,c_18410,c_83868]) ).
tcf(c_87717,plain,
! [X0: $i] :
( ( cons(sK60,sK59) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != cons(sK60,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87703,c_141,c_83868]) ).
tcf(c_87721,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,cons(sK60,sK59)) != cons(sK60,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87699,c_141,c_83868]) ).
tcf(c_87725,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_87706,c_141,c_83868]) ).
tcf(c_87730,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_87690,c_84022]) ).
tcf(c_87731,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_87730,c_141,c_83868]) ).
tcf(c_87753,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_87685,c_84022]) ).
tcf(c_87754,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_87753,c_9003,c_141,c_18410]) ).
tcf(c_87758,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_87684,c_84022]) ).
tcf(c_87759,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_87758,c_9003,c_141,c_18410]) ).
tcf(c_87765,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_87683,c_84022]) ).
tcf(c_87766,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_87765,c_9003,c_141,c_18410]) ).
tcf(c_87808,plain,
( ( cons(sK60,sK59) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK59))
| ~ frontsegP(nil,cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_87709,c_174]) ).
tcf(c_87810,plain,
~ frontsegP(nil,cons(sK60,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_87808,c_83889,c_141,c_83868]) ).
tcf(c_87811,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_87716,c_57]) ).
tcf(c_87812,plain,
( ( app(nil,sK8(cons(sK60,sK59),sK60)) = sK8(cons(sK60,sK59),sK60) )
| ~ ssItem(sK60)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_87716,c_12668]) ).
tcf(c_87814,plain,
app(nil,sK8(cons(sK60,sK59),sK60)) = sK8(cons(sK60,sK59),sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_87812,c_18410,c_83868]) ).
tcf(c_87815,plain,
app(sK8(cons(sK60,sK59),sK60),cons(sK60,sK9(cons(sK60,sK59),sK60))) = cons(sK60,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_87811,c_18410,c_83868]) ).
tcf(c_87822,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,cons(sK60,sK56)) = nil )
| ( cons(sK60,cons(sK60,sK56)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,cons(sK60,sK56)))
| ( hd(X0) != sK60 )
| ( tl(cons(sK60,cons(sK60,sK56))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_83657,c_223]) ).
tcf(c_87823,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK60,cons(sK60,sK56))))
| ( cons(sK60,cons(sK60,sK56)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK60)
| ~ strictorderedP(cons(sK60,cons(sK60,sK56)))
| ~ ssList(cons(sK60,cons(sK60,sK56))) ),
inference(superposition,[status(thm)],[c_83657,c_212]) ).
tcf(c_87824,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK60,cons(sK60,sK56))))
| ( cons(sK60,cons(sK60,sK56)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK60)
| ~ totalorderedP(cons(sK60,cons(sK60,sK56)))
| ~ ssList(cons(sK60,cons(sK60,sK56))) ),
inference(superposition,[status(thm)],[c_83657,c_206]) ).
tcf(c_87837,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,cons(sK60,sK56)) = nil )
| ( cons(sK60,cons(sK60,sK56)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,cons(sK60,sK56)))
| ( hd(X0) != sK60 )
| ( cons(sK60,sK56) != tl(X0) ) ),
inference(light_normalisation,[status(thm)],[c_87822,c_83658]) ).
tcf(c_87852,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_80920,c_174]) ).
tcf(c_87853,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_80920,c_63]) ).
tcf(c_87866,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_81452,c_174]) ).
tcf(c_87867,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_81452,c_63]) ).
tcf(c_87881,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_81461,c_70]) ).
tcf(c_87882,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_81461,c_190]) ).
tcf(c_87883,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_81461,c_191]) ).
tcf(c_87906,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_81466,c_70]) ).
tcf(c_87907,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_81466,c_190]) ).
tcf(c_87908,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_81466,c_191]) ).
tcf(c_87910,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_87908,c_9000]) ).
tcf(c_87914,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_87906,c_9000]) ).
tcf(c_87917,plain,
! [X0: $i] :
( ~ memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ( X0 = sK60 ) ),
inference(global_subsumption_just,[status(thm)],[c_84886,c_171,c_24709]) ).
tcf(c_87918,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(renaming,[status(thm)],[c_87917]) ).
tcf(c_87927,plain,
( ( sK57 = sK60 )
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_22373,c_87918]) ).
tcf(c_87928,plain,
( ( sK10(iPr_def_10) = sK60 )
| ~ ssItem(sK10(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_48993,c_87918]) ).
tcf(c_87929,plain,
( ( hd(iPr_def_12) = sK60 )
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_58444,c_87918]) ).
tcf(c_87930,plain,
sK57 = sK60,
inference(forward_subsumption_resolution,[status(thm)],[c_87927,c_8999]) ).
tcf(c_87931,plain,
hd(iPr_def_12) = sK60,
inference(forward_subsumption_resolution,[status(thm)],[c_87929,c_25870]) ).
tcf(c_87934,plain,
cons(sK60,sK59) != cons(sK60,iPr_def_10),
inference(demodulation,[status(thm)],[c_73375,c_87930]) ).
tcf(c_87937,plain,
app(nil,sK8(cons(sK60,iPr_def_11),sK60)) = sK8(cons(sK60,iPr_def_11),sK60),
inference(demodulation,[status(thm)],[c_78356,c_87930]) ).
tcf(c_87940,plain,
rearsegP(cons(sK60,iPr_def_11),cons(sK60,iPr_def_11)),
inference(demodulation,[status(thm)],[c_78278,c_87930]) ).
tcf(c_87941,plain,
~ frontsegP(nil,cons(sK60,iPr_def_11)),
inference(demodulation,[status(thm)],[c_78352,c_87930]) ).
tcf(c_87942,plain,
memberP(cons(sK60,iPr_def_11),sK60),
inference(demodulation,[status(thm)],[c_78284,c_87930]) ).
tcf(c_87943,plain,
frontsegP(cons(sK60,iPr_def_11),nil),
inference(demodulation,[status(thm)],[c_78277,c_87930]) ).
tcf(c_87948,plain,
frontsegP(cons(sK60,iPr_def_11),cons(sK60,iPr_def_11)),
inference(demodulation,[status(thm)],[c_76889,c_87930]) ).
tcf(c_87949,plain,
~ rearsegP(nil,cons(sK60,iPr_def_11)),
inference(demodulation,[status(thm)],[c_77065,c_87930]) ).
tcf(c_87950,plain,
rearsegP(cons(sK60,iPr_def_11),nil),
inference(demodulation,[status(thm)],[c_76888,c_87930]) ).
tcf(c_87952,plain,
app(nil,sK8(cons(sK60,iPr_def_12),sK60)) = sK8(cons(sK60,iPr_def_12),sK60),
inference(demodulation,[status(thm)],[c_74475,c_87930]) ).
tcf(c_87954,plain,
cons(sK60,sK58) != cons(sK60,iPr_def_12),
inference(demodulation,[status(thm)],[c_71111,c_87930]) ).
tcf(c_87955,plain,
rearsegP(cons(sK60,iPr_def_12),cons(sK60,iPr_def_12)),
inference(demodulation,[status(thm)],[c_74293,c_87930]) ).
tcf(c_87956,plain,
~ frontsegP(nil,cons(sK60,iPr_def_12)),
inference(demodulation,[status(thm)],[c_74471,c_87930]) ).
tcf(c_87957,plain,
memberP(cons(sK60,iPr_def_12),sK60),
inference(demodulation,[status(thm)],[c_74299,c_87930]) ).
tcf(c_87958,plain,
frontsegP(cons(sK60,iPr_def_12),nil),
inference(demodulation,[status(thm)],[c_74292,c_87930]) ).
tcf(c_87961,plain,
frontsegP(cons(sK60,iPr_def_10),iPr_def_11),
inference(demodulation,[status(thm)],[c_73371,c_87930]) ).
tcf(c_87963,plain,
cons(sK60,iPr_def_10) = app(iPr_def_11,iPr_def_10),
inference(demodulation,[status(thm)],[c_70807,c_87930]) ).
tcf(c_87965,plain,
frontsegP(cons(sK60,iPr_def_11),iPr_def_11),
inference(demodulation,[status(thm)],[c_72651,c_87930]) ).
tcf(c_87968,plain,
cons(sK60,iPr_def_11) = app(iPr_def_11,iPr_def_11),
inference(demodulation,[status(thm)],[c_70806,c_87930]) ).
tcf(c_87969,plain,
frontsegP(cons(sK60,iPr_def_12),cons(sK60,iPr_def_12)),
inference(demodulation,[status(thm)],[c_72403,c_87930]) ).
tcf(c_87970,plain,
~ rearsegP(nil,cons(sK60,iPr_def_12)),
inference(demodulation,[status(thm)],[c_72621,c_87930]) ).
tcf(c_87971,plain,
rearsegP(cons(sK60,iPr_def_12),nil),
inference(demodulation,[status(thm)],[c_72402,c_87930]) ).
tcf(c_87973,plain,
frontsegP(cons(sK60,iPr_def_10),cons(sK60,iPr_def_12)),
inference(demodulation,[status(thm)],[c_71156,c_87930]) ).
tcf(c_87975,plain,
rearsegP(cons(sK60,iPr_def_10),sK59),
inference(demodulation,[status(thm)],[c_71157,c_87930]) ).
tcf(c_87976,plain,
frontsegP(cons(sK60,iPr_def_12),iPr_def_11),
inference(demodulation,[status(thm)],[c_71104,c_87930]) ).
tcf(c_87979,plain,
cons(sK60,iPr_def_12) = app(iPr_def_11,iPr_def_12),
inference(demodulation,[status(thm)],[c_70805,c_87930]) ).
tcf(c_87980,plain,
! [X0: $i] :
( ( cons(sK60,X0) = app(iPr_def_11,X0) )
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[c_16754,c_87930]) ).
tcf(c_87990,plain,
app(nil,sK8(cons(sK60,iPr_def_10),sK60)) = sK8(cons(sK60,iPr_def_10),sK60),
inference(demodulation,[status(thm)],[c_67052,c_87930]) ).
tcf(c_87991,plain,
rearsegP(cons(sK60,iPr_def_10),cons(sK60,iPr_def_10)),
inference(demodulation,[status(thm)],[c_66972,c_87930]) ).
tcf(c_87992,plain,
memberP(cons(sK60,iPr_def_10),sK60),
inference(demodulation,[status(thm)],[c_66978,c_87930]) ).
tcf(c_87993,plain,
frontsegP(cons(sK60,iPr_def_10),nil),
inference(demodulation,[status(thm)],[c_66971,c_87930]) ).
tcf(c_87995,plain,
frontsegP(cons(sK60,iPr_def_10),cons(sK60,iPr_def_10)),
inference(demodulation,[status(thm)],[c_66906,c_87930]) ).
tcf(c_87996,plain,
rearsegP(cons(sK60,iPr_def_10),nil),
inference(demodulation,[status(thm)],[c_66905,c_87930]) ).
tcf(c_88007,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_64065,c_87930]) ).
tcf(c_88008,plain,
app(sK12(cons(sK60,iPr_def_10),sK59),sK59) = cons(sK60,iPr_def_10),
inference(demodulation,[status(thm)],[c_63899,c_87930]) ).
tcf(c_88009,plain,
rearsegP(cons(sK60,sK58),cons(sK60,sK58)),
inference(demodulation,[status(thm)],[c_63532,c_87930]) ).
tcf(c_88010,plain,
~ frontsegP(nil,cons(sK60,sK58)),
inference(demodulation,[status(thm)],[c_63632,c_87930]) ).
tcf(c_88011,plain,
app(nil,sK8(cons(sK60,sK58),sK60)) = sK8(cons(sK60,sK58),sK60),
inference(demodulation,[status(thm)],[c_63637,c_87930]) ).
tcf(c_88012,plain,
memberP(cons(sK60,sK58),sK60),
inference(demodulation,[status(thm)],[c_63538,c_87930]) ).
tcf(c_88013,plain,
frontsegP(cons(sK60,sK58),nil),
inference(demodulation,[status(thm)],[c_63531,c_87930]) ).
tcf(c_88015,plain,
~ segmentP(sK58,cons(sK60,sK58)),
inference(demodulation,[status(thm)],[c_63502,c_87930]) ).
tcf(c_88016,plain,
segmentP(cons(sK60,sK58),sK58),
inference(demodulation,[status(thm)],[c_63427,c_87930]) ).
tcf(c_88017,plain,
frontsegP(cons(sK60,sK58),cons(sK60,sK58)),
inference(demodulation,[status(thm)],[c_63428,c_87930]) ).
tcf(c_88018,plain,
~ rearsegP(nil,cons(sK60,sK58)),
inference(demodulation,[status(thm)],[c_63492,c_87930]) ).
tcf(c_88019,plain,
rearsegP(cons(sK60,sK58),nil),
inference(demodulation,[status(thm)],[c_63421,c_87930]) ).
tcf(c_88038,plain,
app(cons(sK60,iPr_def_12),sK59) = cons(sK60,iPr_def_10),
inference(demodulation,[status(thm)],[c_41667,c_87930]) ).
tcf(c_88041,plain,
( ( cons(sK60,app(sK58,sK56)) = sK58 )
| ~ segmentP(sK58,cons(sK60,app(sK58,sK56))) ),
inference(demodulation,[status(thm)],[c_58471,c_87930]) ).
tcf(c_88042,plain,
( ( cons(sK60,app(sK58,sK59)) = sK58 )
| ~ segmentP(sK58,cons(sK60,app(sK58,sK59))) ),
inference(demodulation,[status(thm)],[c_58463,c_87930]) ).
tcf(c_88043,plain,
~ segmentP(sK58,cons(sK60,app(sK58,sK58))),
inference(demodulation,[status(thm)],[c_58141,c_87930]) ).
tcf(c_88044,plain,
segmentP(cons(sK60,app(sK58,sK56)),sK58),
inference(demodulation,[status(thm)],[c_58118,c_87930]) ).
tcf(c_88045,plain,
segmentP(cons(sK60,app(sK58,sK59)),sK58),
inference(demodulation,[status(thm)],[c_58116,c_87930]) ).
tcf(c_88048,plain,
segmentP(cons(sK60,app(sK58,sK58)),sK58),
inference(demodulation,[status(thm)],[c_58114,c_87930]) ).
tcf(c_88050,plain,
! [X0: $i] :
( segmentP(cons(sK60,app(sK58,sK56)),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(demodulation,[status(thm)],[c_57940,c_87930]) ).
tcf(c_88051,plain,
! [X0: $i] :
( segmentP(cons(sK60,app(sK58,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(demodulation,[status(thm)],[c_57936,c_87930]) ).
tcf(c_88052,plain,
! [X0: $i] :
( segmentP(cons(sK60,app(sK58,sK58)),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(demodulation,[status(thm)],[c_57932,c_87930]) ).
tcf(c_88055,plain,
~ segmentP(sK56,cons(sK60,sK56)),
inference(demodulation,[status(thm)],[c_57562,c_87930]) ).
tcf(c_88058,plain,
segmentP(cons(sK60,sK56),sK56),
inference(demodulation,[status(thm)],[c_57016,c_87930]) ).
tcf(c_88064,plain,
( ( cons(sK60,app(sK59,sK56)) = sK59 )
| ~ segmentP(sK59,cons(sK60,app(sK59,sK56))) ),
inference(demodulation,[status(thm)],[c_54996,c_87930]) ).
tcf(c_88065,plain,
( ( cons(sK60,app(sK59,sK58)) = sK59 )
| ~ segmentP(sK59,cons(sK60,app(sK59,sK58))) ),
inference(demodulation,[status(thm)],[c_54848,c_87930]) ).
tcf(c_88066,plain,
~ segmentP(sK59,cons(sK60,app(sK59,sK59))),
inference(demodulation,[status(thm)],[c_54963,c_87930]) ).
tcf(c_88067,plain,
segmentP(cons(sK60,app(sK59,sK56)),sK59),
inference(demodulation,[status(thm)],[c_54751,c_87930]) ).
tcf(c_88068,plain,
segmentP(cons(sK60,app(sK59,sK59)),sK59),
inference(demodulation,[status(thm)],[c_54749,c_87930]) ).
tcf(c_88069,plain,
segmentP(cons(sK60,app(sK59,sK58)),sK59),
inference(demodulation,[status(thm)],[c_54747,c_87930]) ).
tcf(c_88071,plain,
! [X0: $i] :
( segmentP(cons(sK60,app(sK59,sK56)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(demodulation,[status(thm)],[c_54581,c_87930]) ).
tcf(c_88072,plain,
! [X0: $i] :
( segmentP(cons(sK60,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(demodulation,[status(thm)],[c_54577,c_87930]) ).
tcf(c_88073,plain,
! [X0: $i] :
( segmentP(cons(sK60,app(sK59,sK58)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(demodulation,[status(thm)],[c_54573,c_87930]) ).
tcf(c_88077,plain,
~ segmentP(sK56,cons(sK60,app(sK56,sK56))),
inference(demodulation,[status(thm)],[c_53995,c_87930]) ).
tcf(c_88078,plain,
( ( cons(sK60,app(sK56,sK59)) = sK56 )
| ~ segmentP(sK56,cons(sK60,app(sK56,sK59))) ),
inference(demodulation,[status(thm)],[c_53903,c_87930]) ).
tcf(c_88079,plain,
( ( cons(sK60,app(sK56,sK58)) = sK56 )
| ~ segmentP(sK56,cons(sK60,app(sK56,sK58))) ),
inference(demodulation,[status(thm)],[c_53863,c_87930]) ).
tcf(c_88081,plain,
segmentP(cons(sK60,app(sK56,sK56)),sK56),
inference(demodulation,[status(thm)],[c_53840,c_87930]) ).
tcf(c_88082,plain,
segmentP(cons(sK60,app(sK56,sK59)),sK56),
inference(demodulation,[status(thm)],[c_53838,c_87930]) ).
tcf(c_88083,plain,
segmentP(cons(sK60,app(sK56,sK58)),sK56),
inference(demodulation,[status(thm)],[c_53836,c_87930]) ).
tcf(c_88085,plain,
! [X0: $i] :
( segmentP(cons(sK60,app(sK56,sK56)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(demodulation,[status(thm)],[c_53310,c_87930]) ).
tcf(c_88086,plain,
! [X0: $i] :
( segmentP(cons(sK60,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(demodulation,[status(thm)],[c_53306,c_87930]) ).
tcf(c_88087,plain,
! [X0: $i] :
( segmentP(cons(sK60,app(sK56,sK58)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(demodulation,[status(thm)],[c_53302,c_87930]) ).
tcf(c_88090,plain,
~ rearsegP(sK58,cons(sK60,app(sK58,sK58))),
inference(demodulation,[status(thm)],[c_53271,c_87930]) ).
tcf(c_88091,plain,
app(sK12(cons(sK60,app(sK58,sK58)),sK58),sK58) = cons(sK60,app(sK58,sK58)),
inference(demodulation,[status(thm)],[c_47437,c_87930]) ).
tcf(c_88092,plain,
~ rearsegP(sK56,cons(sK60,app(sK58,sK56))),
inference(demodulation,[status(thm)],[c_53205,c_87930]) ).
tcf(c_88093,plain,
app(sK12(cons(sK60,app(sK58,sK56)),sK56),sK56) = cons(sK60,app(sK58,sK56)),
inference(demodulation,[status(thm)],[c_47421,c_87930]) ).
tcf(c_88094,plain,
~ rearsegP(sK59,cons(sK60,app(sK58,sK59))),
inference(demodulation,[status(thm)],[c_53116,c_87930]) ).
tcf(c_88095,plain,
app(sK12(cons(sK60,app(sK58,sK59)),sK59),sK59) = cons(sK60,app(sK58,sK59)),
inference(demodulation,[status(thm)],[c_47400,c_87930]) ).
tcf(c_88096,plain,
! [X0: $i] :
( frontsegP(cons(sK60,app(sK58,sK58)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sK60,sK58),X0) ),
inference(demodulation,[status(thm)],[c_47131,c_87930]) ).
tcf(c_88097,plain,
! [X0: $i] :
( memberP(cons(sK60,app(sK58,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK58),X0) ),
inference(demodulation,[status(thm)],[c_47127,c_87930]) ).
tcf(c_88098,plain,
~ rearsegP(sK58,cons(sK60,app(sK59,sK58))),
inference(demodulation,[status(thm)],[c_52686,c_87930]) ).
tcf(c_88099,plain,
! [X0: $i] :
( ( hd(app(iPr_def_11,X0)) = sK60 )
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[c_19361,c_87930]) ).
tcf(c_88100,plain,
app(sK12(cons(sK60,app(sK59,sK58)),sK58),sK58) = cons(sK60,app(sK59,sK58)),
inference(demodulation,[status(thm)],[c_47055,c_87930]) ).
tcf(c_88101,plain,
! [X0: $i] :
( frontsegP(cons(sK60,app(sK59,sK58)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sK60,sK59),X0) ),
inference(demodulation,[status(thm)],[c_46665,c_87930]) ).
tcf(c_88102,plain,
! [X0: $i] :
( memberP(cons(sK60,app(sK59,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK59),X0) ),
inference(demodulation,[status(thm)],[c_46661,c_87930]) ).
tcf(c_88103,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(X0,sK58) != cons(sK60,sK58) ) ),
inference(demodulation,[status(thm)],[c_45969,c_87930]) ).
tcf(c_88104,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != cons(sK60,sK58) ) ),
inference(demodulation,[status(thm)],[c_45965,c_87930]) ).
tcf(c_88105,plain,
~ rearsegP(sK58,cons(sK60,app(sK56,sK58))),
inference(demodulation,[status(thm)],[c_51539,c_87930]) ).
tcf(c_88106,plain,
app(sK12(cons(sK60,app(sK56,sK58)),sK58),sK58) = cons(sK60,app(sK56,sK58)),
inference(demodulation,[status(thm)],[c_45835,c_87930]) ).
tcf(c_88107,plain,
! [X0: $i] :
( frontsegP(cons(sK60,app(sK56,sK58)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sK60,sK56),X0) ),
inference(demodulation,[status(thm)],[c_45652,c_87930]) ).
tcf(c_88108,plain,
! [X0: $i] :
( memberP(cons(sK60,app(sK56,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK56),X0) ),
inference(demodulation,[status(thm)],[c_45648,c_87930]) ).
tcf(c_88110,plain,
~ rearsegP(sK56,cons(sK60,app(sK59,sK56))),
inference(demodulation,[status(thm)],[c_50969,c_87930]) ).
tcf(c_88111,plain,
app(sK12(cons(sK60,app(sK59,sK56)),sK56),sK56) = cons(sK60,app(sK59,sK56)),
inference(demodulation,[status(thm)],[c_43627,c_87930]) ).
tcf(c_88112,plain,
~ rearsegP(sK59,cons(sK60,app(sK59,sK59))),
inference(demodulation,[status(thm)],[c_50880,c_87930]) ).
tcf(c_88113,plain,
app(sK12(cons(sK60,app(sK59,sK59)),sK59),sK59) = cons(sK60,app(sK59,sK59)),
inference(demodulation,[status(thm)],[c_43598,c_87930]) ).
tcf(c_88114,plain,
! [X0: $i] :
( frontsegP(cons(sK60,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sK60,sK59),X0) ),
inference(demodulation,[status(thm)],[c_43396,c_87930]) ).
tcf(c_88115,plain,
! [X0: $i] :
( memberP(cons(sK60,app(sK59,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK59),X0) ),
inference(demodulation,[status(thm)],[c_43392,c_87930]) ).
tcf(c_88116,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(X0,sK59) != cons(sK60,sK59) ) ),
inference(demodulation,[status(thm)],[c_42707,c_87930]) ).
tcf(c_88117,plain,
( ( sK59 = sK58 )
| ( cons(sK60,sK59) != cons(sK60,sK58) ) ),
inference(demodulation,[status(thm)],[c_50414,c_87930]) ).
tcf(c_88118,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != cons(sK60,sK59) ) ),
inference(demodulation,[status(thm)],[c_42703,c_87930]) ).
tcf(c_88119,plain,
~ rearsegP(sK59,cons(sK60,app(sK56,sK59))),
inference(demodulation,[status(thm)],[c_50398,c_87930]) ).
tcf(c_88120,plain,
app(sK12(cons(sK60,app(sK56,sK59)),sK59),sK59) = cons(sK60,app(sK56,sK59)),
inference(demodulation,[status(thm)],[c_42120,c_87930]) ).
tcf(c_88121,plain,
! [X0: $i] :
( frontsegP(cons(sK60,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sK60,sK56),X0) ),
inference(demodulation,[status(thm)],[c_41939,c_87930]) ).
tcf(c_88122,plain,
! [X0: $i] :
( memberP(cons(sK60,app(sK56,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK56),X0) ),
inference(demodulation,[status(thm)],[c_41935,c_87930]) ).
tcf(c_88123,plain,
cons(sK60,app(sK58,sK58)) != sK58,
inference(demodulation,[status(thm)],[c_47114,c_87930]) ).
tcf(c_88124,plain,
cons(sK60,app(sK59,sK58)) != sK58,
inference(demodulation,[status(thm)],[c_46648,c_87930]) ).
tcf(c_88129,plain,
~ rearsegP(sK56,cons(sK60,app(sK56,sK56))),
inference(demodulation,[status(thm)],[c_50092,c_87930]) ).
tcf(c_88130,plain,
app(sK12(cons(sK60,app(sK56,sK56)),sK56),sK56) = cons(sK60,app(sK56,sK56)),
inference(demodulation,[status(thm)],[c_39519,c_87930]) ).
tcf(c_88131,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(X0,sK56) != cons(sK60,sK56) ) ),
inference(demodulation,[status(thm)],[c_39002,c_87930]) ).
tcf(c_88132,plain,
( ( sK56 = sK59 )
| ( cons(sK60,sK56) != cons(sK60,sK59) ) ),
inference(demodulation,[status(thm)],[c_49712,c_87930]) ).
tcf(c_88133,plain,
( ( sK56 = sK58 )
| ( cons(sK60,sK56) != cons(sK60,sK58) ) ),
inference(demodulation,[status(thm)],[c_49709,c_87930]) ).
tcf(c_88134,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != cons(sK60,sK56) ) ),
inference(demodulation,[status(thm)],[c_38998,c_87930]) ).
tcf(c_88135,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| memberP(sK58,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK58),X0) ),
inference(demodulation,[status(thm)],[c_45960,c_87930]) ).
tcf(c_88137,plain,
cons(sK60,app(sK56,sK58)) != sK58,
inference(demodulation,[status(thm)],[c_45635,c_87930]) ).
tcf(c_88139,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| memberP(sK59,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK59),X0) ),
inference(demodulation,[status(thm)],[c_42698,c_87930]) ).
tcf(c_88140,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| memberP(sK56,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK56),X0) ),
inference(demodulation,[status(thm)],[c_38993,c_87930]) ).
tcf(c_88141,plain,
! [X0: $i] :
( rearsegP(cons(sK60,app(sK58,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(demodulation,[status(thm)],[c_47417,c_87930]) ).
tcf(c_88142,plain,
! [X0: $i] :
( rearsegP(cons(sK60,app(sK58,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(demodulation,[status(thm)],[c_47396,c_87930]) ).
tcf(c_88143,plain,
! [X0: $i] :
( rearsegP(cons(sK60,app(sK58,sK58)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0) ),
inference(demodulation,[status(thm)],[c_47122,c_87930]) ).
tcf(c_88144,plain,
cons(sK60,app(sK59,sK59)) != sK59,
inference(demodulation,[status(thm)],[c_43376,c_87930]) ).
tcf(c_88148,plain,
! [X0: $i] :
( memberP(cons(sK60,app(sK58,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(demodulation,[status(thm)],[c_47118,c_87930]) ).
tcf(c_88149,plain,
! [X0: $i] :
( rearsegP(cons(sK60,app(sK59,sK58)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0) ),
inference(demodulation,[status(thm)],[c_46656,c_87930]) ).
tcf(c_88150,plain,
! [X0: $i] :
( memberP(cons(sK60,app(sK59,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(demodulation,[status(thm)],[c_46652,c_87930]) ).
tcf(c_88151,plain,
! [X0: $i] :
( rearsegP(cons(sK60,app(sK56,sK58)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0) ),
inference(demodulation,[status(thm)],[c_45643,c_87930]) ).
tcf(c_88152,plain,
! [X0: $i] :
( memberP(cons(sK60,app(sK56,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(demodulation,[status(thm)],[c_45639,c_87930]) ).
tcf(c_88157,plain,
cons(sK60,app(sK56,sK59)) != sK59,
inference(demodulation,[status(thm)],[c_41919,c_87930]) ).
tcf(c_88162,plain,
frontsegP(cons(sK60,app(sK58,sK56)),cons(sK60,sK58)),
inference(demodulation,[status(thm)],[c_45986,c_87930]) ).
tcf(c_88163,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK58),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(demodulation,[status(thm)],[c_45956,c_87930]) ).
tcf(c_88164,plain,
! [X0: $i] :
( memberP(cons(sK60,sK58),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(demodulation,[status(thm)],[c_45952,c_87930]) ).
tcf(c_88167,plain,
cons(sK60,app(sK58,sK58)) != nil,
inference(demodulation,[status(thm)],[c_47126,c_87930]) ).
tcf(c_88168,plain,
frontsegP(cons(sK60,app(sK58,sK58)),cons(sK60,sK58)),
inference(demodulation,[status(thm)],[c_47113,c_87930]) ).
tcf(c_88170,plain,
frontsegP(cons(sK60,app(sK58,sK59)),cons(sK60,sK58)),
inference(demodulation,[status(thm)],[c_45983,c_87930]) ).
tcf(c_88171,plain,
rearsegP(cons(sK60,app(sK58,sK58)),sK58),
inference(demodulation,[status(thm)],[c_47112,c_87930]) ).
tcf(c_88172,plain,
rearsegP(cons(sK60,app(sK58,sK56)),sK56),
inference(demodulation,[status(thm)],[c_45987,c_87930]) ).
tcf(c_88173,plain,
rearsegP(cons(sK60,app(sK58,sK59)),sK59),
inference(demodulation,[status(thm)],[c_45984,c_87930]) ).
tcf(c_88174,plain,
ssList(cons(sK60,app(sK58,sK58))),
inference(demodulation,[status(thm)],[c_47111,c_87930]) ).
tcf(c_88175,plain,
cons(sK60,app(sK58,sK58)) = app(cons(sK60,sK58),sK58),
inference(demodulation,[status(thm)],[c_45247,c_87930]) ).
tcf(c_88176,plain,
cons(sK60,app(sK59,sK58)) != nil,
inference(demodulation,[status(thm)],[c_46660,c_87930]) ).
tcf(c_88177,plain,
frontsegP(cons(sK60,app(sK59,sK58)),cons(sK60,sK59)),
inference(demodulation,[status(thm)],[c_46647,c_87930]) ).
tcf(c_88178,plain,
rearsegP(cons(sK60,app(sK59,sK58)),sK58),
inference(demodulation,[status(thm)],[c_46646,c_87930]) ).
tcf(c_88179,plain,
ssList(cons(sK60,app(sK59,sK58))),
inference(demodulation,[status(thm)],[c_46645,c_87930]) ).
tcf(c_88180,plain,
cons(sK60,app(sK59,sK58)) = app(cons(sK60,sK59),sK58),
inference(demodulation,[status(thm)],[c_45246,c_87930]) ).
tcf(c_88183,plain,
ssList(cons(sK60,app(sK58,sK56))),
inference(demodulation,[status(thm)],[c_45988,c_87930]) ).
tcf(c_88184,plain,
ssList(cons(sK60,app(sK58,sK59))),
inference(demodulation,[status(thm)],[c_45985,c_87930]) ).
tcf(c_88185,plain,
frontsegP(cons(sK60,sK58),iPr_def_11),
inference(demodulation,[status(thm)],[c_45938,c_87930]) ).
tcf(c_88188,plain,
cons(sK60,sK58) = app(iPr_def_11,sK58),
inference(demodulation,[status(thm)],[c_45264,c_87930]) ).
tcf(c_88189,plain,
cons(sK60,app(sK56,sK58)) != nil,
inference(demodulation,[status(thm)],[c_45647,c_87930]) ).
tcf(c_88190,plain,
frontsegP(cons(sK60,app(sK56,sK58)),cons(sK60,sK56)),
inference(demodulation,[status(thm)],[c_45634,c_87930]) ).
tcf(c_88191,plain,
rearsegP(cons(sK60,app(sK56,sK58)),sK58),
inference(demodulation,[status(thm)],[c_45633,c_87930]) ).
tcf(c_88192,plain,
ssList(cons(sK60,app(sK56,sK58))),
inference(demodulation,[status(thm)],[c_45632,c_87930]) ).
tcf(c_88193,plain,
cons(sK60,app(sK56,sK58)) = app(cons(sK60,sK56),sK58),
inference(demodulation,[status(thm)],[c_45245,c_87930]) ).
tcf(c_88194,plain,
! [X0: $i] :
( ( cons(sK60,app(X0,sK58)) = app(cons(sK60,X0),sK58) )
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[c_37537,c_87930]) ).
tcf(c_88199,plain,
! [X0: $i] :
( rearsegP(cons(sK60,app(sK59,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(demodulation,[status(thm)],[c_43623,c_87930]) ).
tcf(c_88200,plain,
! [X0: $i] :
( rearsegP(cons(sK60,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(demodulation,[status(thm)],[c_43387,c_87930]) ).
tcf(c_88201,plain,
! [X0: $i] :
( memberP(cons(sK60,app(sK59,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(demodulation,[status(thm)],[c_43383,c_87930]) ).
tcf(c_88202,plain,
! [X0: $i] :
( rearsegP(cons(sK60,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(demodulation,[status(thm)],[c_41930,c_87930]) ).
tcf(c_88203,plain,
! [X0: $i] :
( memberP(cons(sK60,app(sK56,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(demodulation,[status(thm)],[c_41926,c_87930]) ).
tcf(c_88207,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(demodulation,[status(thm)],[c_42694,c_87930]) ).
tcf(c_88208,plain,
! [X0: $i] :
( memberP(cons(sK60,sK59),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(demodulation,[status(thm)],[c_42690,c_87930]) ).
tcf(c_88211,plain,
cons(sK60,app(sK58,sK59)) = app(cons(sK60,sK58),sK59),
inference(demodulation,[status(thm)],[c_41654,c_87930]) ).
tcf(c_88213,plain,
frontsegP(cons(sK60,app(sK59,sK56)),cons(sK60,sK59)),
inference(demodulation,[status(thm)],[c_42721,c_87930]) ).
tcf(c_88214,plain,
rearsegP(cons(sK60,app(sK59,sK56)),sK56),
inference(demodulation,[status(thm)],[c_42722,c_87930]) ).
tcf(c_88216,plain,
cons(sK60,app(sK59,sK59)) != nil,
inference(demodulation,[status(thm)],[c_43391,c_87930]) ).
tcf(c_88217,plain,
frontsegP(cons(sK60,app(sK59,sK59)),cons(sK60,sK59)),
inference(demodulation,[status(thm)],[c_43375,c_87930]) ).
tcf(c_88218,plain,
rearsegP(cons(sK60,app(sK59,sK59)),sK59),
inference(demodulation,[status(thm)],[c_43374,c_87930]) ).
tcf(c_88219,plain,
ssList(cons(sK60,app(sK59,sK59))),
inference(demodulation,[status(thm)],[c_43373,c_87930]) ).
tcf(c_88220,plain,
cons(sK60,app(sK59,sK59)) = app(cons(sK60,sK59),sK59),
inference(demodulation,[status(thm)],[c_41653,c_87930]) ).
tcf(c_88221,plain,
cons(sK60,app(sK56,sK59)) != nil,
inference(demodulation,[status(thm)],[c_41934,c_87930]) ).
tcf(c_88223,plain,
ssList(cons(sK60,app(sK59,sK56))),
inference(demodulation,[status(thm)],[c_42723,c_87930]) ).
tcf(c_88224,plain,
frontsegP(cons(sK60,sK59),iPr_def_11),
inference(demodulation,[status(thm)],[c_42673,c_87930]) ).
tcf(c_88227,plain,
cons(sK60,sK59) = app(iPr_def_11,sK59),
inference(demodulation,[status(thm)],[c_41668,c_87930]) ).
tcf(c_88228,plain,
frontsegP(cons(sK60,app(sK56,sK59)),cons(sK60,sK56)),
inference(demodulation,[status(thm)],[c_41918,c_87930]) ).
tcf(c_88229,plain,
rearsegP(cons(sK60,app(sK56,sK59)),sK59),
inference(demodulation,[status(thm)],[c_41917,c_87930]) ).
tcf(c_88230,plain,
ssList(cons(sK60,app(sK56,sK59))),
inference(demodulation,[status(thm)],[c_41916,c_87930]) ).
tcf(c_88231,plain,
cons(sK60,app(sK56,sK59)) = app(cons(sK60,sK56),sK59),
inference(demodulation,[status(thm)],[c_41652,c_87930]) ).
tcf(c_88232,plain,
! [X0: $i] :
( ( cons(sK60,app(X0,sK59)) = app(cons(sK60,X0),sK59) )
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[c_37536,c_87930]) ).
tcf(c_88233,plain,
! [X0: $i] :
( rearsegP(cons(sK60,app(sK56,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(demodulation,[status(thm)],[c_39515,c_87930]) ).
tcf(c_88234,plain,
frontsegP(cons(sK60,app(sK56,sK56)),cons(sK60,sK56)),
inference(demodulation,[status(thm)],[c_40345,c_87930]) ).
tcf(c_88238,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(demodulation,[status(thm)],[c_38989,c_87930]) ).
tcf(c_88239,plain,
! [X0: $i] :
( memberP(cons(sK60,sK56),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(demodulation,[status(thm)],[c_38985,c_87930]) ).
tcf(c_88242,plain,
rearsegP(cons(sK60,app(sK56,sK56)),sK56),
inference(demodulation,[status(thm)],[c_39510,c_87930]) ).
tcf(c_88243,plain,
cons(sK60,app(sK58,sK56)) = app(cons(sK60,sK58),sK56),
inference(demodulation,[status(thm)],[c_38043,c_87930]) ).
tcf(c_88246,plain,
ssList(cons(sK60,app(sK56,sK56))),
inference(demodulation,[status(thm)],[c_39016,c_87930]) ).
tcf(c_88247,plain,
frontsegP(cons(sK60,sK56),iPr_def_11),
inference(demodulation,[status(thm)],[c_38971,c_87930]) ).
tcf(c_88250,plain,
cons(sK60,sK56) = app(iPr_def_11,sK56),
inference(demodulation,[status(thm)],[c_38052,c_87930]) ).
tcf(c_88251,plain,
cons(sK60,app(sK59,sK56)) = app(cons(sK60,sK59),sK56),
inference(demodulation,[status(thm)],[c_38042,c_87930]) ).
tcf(c_88252,plain,
cons(sK60,app(sK56,sK56)) = app(cons(sK60,sK56),sK56),
inference(demodulation,[status(thm)],[c_38041,c_87930]) ).
tcf(c_88253,plain,
! [X0: $i] :
( ( cons(sK60,app(X0,sK56)) = app(cons(sK60,X0),sK56) )
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[c_37535,c_87930]) ).
tcf(c_88255,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK60 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != iPr_def_11 ) ),
inference(demodulation,[status(thm)],[c_27918,c_87930]) ).
tcf(c_88257,plain,
sK10(iPr_def_11) = sK60,
inference(demodulation,[status(thm)],[c_35196,c_87930]) ).
tcf(c_88259,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK60 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(iPr_def_11,cons(X0,X1)) ),
inference(demodulation,[status(thm)],[c_27763,c_87930]) ).
tcf(c_88260,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK60 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(cons(X0,X1),iPr_def_11) ),
inference(demodulation,[status(thm)],[c_27753,c_87930]) ).
tcf(c_88264,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(demodulation,[status(thm)],[c_25960,c_87930]) ).
tcf(c_88267,plain,
( memberP(sK59,sK60)
| ( app(sK8(sK58,sK60),cons(sK60,sK9(sK58,sK60))) = sK58 ) ),
inference(demodulation,[status(thm)],[c_23498,c_87930]) ).
tcf(c_88270,plain,
app(sK8(iPr_def_12,sK60),cons(sK60,sK9(iPr_def_12,sK60))) = iPr_def_12,
inference(demodulation,[status(thm)],[c_23496,c_87930]) ).
tcf(c_88271,plain,
app(sK8(iPr_def_11,sK60),cons(sK60,sK9(iPr_def_11,sK60))) = iPr_def_11,
inference(demodulation,[status(thm)],[c_23495,c_87930]) ).
tcf(c_88275,plain,
app(nil,sK8(iPr_def_10,sK60)) = sK8(iPr_def_10,sK60),
inference(demodulation,[status(thm)],[c_22375,c_87930]) ).
tcf(c_88277,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,cons(sK60,X0))
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(demodulation,[status(thm)],[c_21170,c_87930]) ).
tcf(c_88278,plain,
! [X0: $i] :
( frontsegP(cons(sK60,X0),iPr_def_11)
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[c_21447,c_87930]) ).
tcf(c_88279,plain,
sK51(iPr_def_11) = sK60,
inference(demodulation,[status(thm)],[c_14872,c_87930]) ).
tcf(c_88280,plain,
hd(iPr_def_11) = sK60,
inference(demodulation,[status(thm)],[c_14796,c_87930]) ).
tcf(c_88289,plain,
( ( app(nil,sK8(sK58,sK60)) = sK8(sK58,sK60) )
| ( app(nil,sK8(sK59,sK60)) = sK8(sK59,sK60) ) ),
inference(demodulation,[status(thm)],[c_13504,c_87930]) ).
tcf(c_88290,plain,
( memberP(sK59,sK60)
| ( app(nil,sK8(sK58,sK60)) = sK8(sK58,sK60) ) ),
inference(demodulation,[status(thm)],[c_13356,c_87930]) ).
tcf(c_88291,plain,
app(nil,sK8(iPr_def_12,sK60)) = sK8(iPr_def_12,sK60),
inference(demodulation,[status(thm)],[c_13355,c_87930]) ).
tcf(c_88292,plain,
app(nil,sK8(iPr_def_11,sK60)) = sK8(iPr_def_11,sK60),
inference(demodulation,[status(thm)],[c_13354,c_87930]) ).
tcf(c_88293,plain,
memberP(iPr_def_12,sK60),
inference(demodulation,[status(thm)],[c_13011,c_87930]) ).
tcf(c_88294,plain,
memberP(iPr_def_11,sK60),
inference(demodulation,[status(thm)],[c_12933,c_87930]) ).
tcf(c_88295,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_11),sK60)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_11)) ),
inference(demodulation,[status(thm)],[c_12240,c_87930]) ).
tcf(c_88296,plain,
cons(sK60,nil) = iPr_def_11,
inference(demodulation,[status(thm)],[c_8987,c_87930]) ).
tcf(c_88297,plain,
( memberP(sK58,sK60)
| memberP(sK59,sK60) ),
inference(demodulation,[status(thm)],[c_9001,c_87930]) ).
tcf(c_88301,plain,
iPr_def_10 = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_88296,c_8986]) ).
tcf(c_88308,plain,
( rearsegP(iPr_def_12,sK11(iPr_def_10,nil))
| ~ ssList(sK11(iPr_def_10,nil)) ),
inference(demodulation,[status(thm)],[c_53939,c_88301]) ).
tcf(c_88310,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_53378,c_88301]) ).
tcf(c_88312,plain,
( ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),iPr_def_12) ),
inference(demodulation,[status(thm)],[c_59041,c_88301]) ).
tcf(c_88313,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_59025,c_88301]) ).
tcf(c_88314,plain,
( ( tl(iPr_def_12) = sK56 )
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),sK56) ),
inference(demodulation,[status(thm)],[c_59021,c_88301]) ).
tcf(c_88315,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_59018,c_88301]) ).
tcf(c_88317,plain,
( frontsegP(iPr_def_10,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_58770,c_88301]) ).
tcf(c_88318,plain,
( frontsegP(iPr_def_12,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_58767,c_88301]) ).
tcf(c_88319,plain,
( frontsegP(sK56,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_58764,c_88301]) ).
tcf(c_88321,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_58859,c_88301]) ).
tcf(c_88322,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_58815,c_88301]) ).
tcf(c_88323,plain,
( ( tl(iPr_def_12) = sK59 )
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),sK59) ),
inference(demodulation,[status(thm)],[c_58855,c_88301]) ).
tcf(c_88324,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_58852,c_88301]) ).
tcf(c_88325,plain,
( ( tl(iPr_def_12) = sK58 )
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),sK58) ),
inference(demodulation,[status(thm)],[c_58811,c_88301]) ).
tcf(c_88326,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_58808,c_88301]) ).
tcf(c_88327,plain,
( frontsegP(sK59,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_58761,c_88301]) ).
tcf(c_88328,plain,
( frontsegP(sK58,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_58758,c_88301]) ).
tcf(c_88330,plain,
( frontsegP(nil,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_58186,c_88301]) ).
tcf(c_88331,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_32838,c_88301]) ).
tcf(c_88335,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0) ),
inference(demodulation,[status(thm)],[c_31685,c_88301]) ).
tcf(c_88347,plain,
( ( nil = sK58 )
| ( iPr_def_10 != iPr_def_12 ) ),
inference(demodulation,[status(thm)],[c_30753,c_88301]) ).
tcf(c_88348,plain,
( ( iPr_def_10 = iPr_def_12 )
| ~ segmentP(iPr_def_10,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_31682,c_88301]) ).
tcf(c_88349,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_27066,c_88301]) ).
tcf(c_88350,plain,
( ( iPr_def_10 = iPr_def_12 )
| ~ rearsegP(iPr_def_10,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_19057,c_88301]) ).
tcf(c_88351,plain,
app(sK12(iPr_def_12,iPr_def_10),iPr_def_10) = iPr_def_12,
inference(demodulation,[status(thm)],[c_18474,c_88301]) ).
tcf(c_88356,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(sK58,X0) != iPr_def_12 ) ),
inference(demodulation,[status(thm)],[c_26228,c_88301]) ).
tcf(c_88357,plain,
segmentP(iPr_def_12,iPr_def_10),
inference(demodulation,[status(thm)],[c_30693,c_88301]) ).
tcf(c_88358,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ( app(X0,iPr_def_10) != iPr_def_12 ) ),
inference(demodulation,[status(thm)],[c_25428,c_88301]) ).
tcf(c_88359,plain,
segmentP(iPr_def_10,iPr_def_10),
inference(demodulation,[status(thm)],[c_30695,c_88301]) ).
tcf(c_88360,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_26485,c_88301]) ).
tcf(c_88363,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| memberP(sK58,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(demodulation,[status(thm)],[c_22920,c_88301]) ).
tcf(c_88364,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_10,X0) ),
inference(demodulation,[status(thm)],[c_19238,c_88301]) ).
tcf(c_88367,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(demodulation,[status(thm)],[c_18584,c_88301]) ).
tcf(c_88375,plain,
rearsegP(iPr_def_12,iPr_def_10),
inference(demodulation,[status(thm)],[c_13618,c_88301]) ).
tcf(c_88384,plain,
app(sK58,iPr_def_10) = iPr_def_12,
inference(demodulation,[status(thm)],[c_8988,c_88301]) ).
tcf(c_88419,plain,
frontsegP(nil,tl(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_88330,c_18420]) ).
tcf(c_88420,plain,
tl(iPr_def_12) = nil,
inference(backward_subsumption_resolution,[status(thm)],[c_33939,c_88419]) ).
tcf(c_88422,plain,
cons(hd(iPr_def_12),nil) = iPr_def_12,
inference(demodulation,[status(thm)],[c_58143,c_88420]) ).
tcf(c_88438,plain,
sK52(iPr_def_12) = nil,
inference(demodulation,[status(thm)],[c_19127,c_88420]) ).
tcf(c_88439,plain,
frontsegP(sK58,tl(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_88328,c_18420]) ).
tcf(c_88440,plain,
frontsegP(sK59,tl(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_88327,c_18420]) ).
tcf(c_88441,plain,
app(tl(iPr_def_12),sK11(sK58,tl(iPr_def_12))) = sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_88326,c_18420]) ).
tcf(c_88442,plain,
( ( tl(iPr_def_12) = sK58 )
| ~ frontsegP(tl(iPr_def_12),sK58) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88325,c_18420]) ).
tcf(c_88445,plain,
app(tl(iPr_def_12),sK11(sK59,tl(iPr_def_12))) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_88324,c_18420]) ).
tcf(c_88446,plain,
( ( tl(iPr_def_12) = sK59 )
| ~ frontsegP(tl(iPr_def_12),sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88323,c_18420]) ).
tcf(c_88449,plain,
! [X0: $i] :
( frontsegP(sK58,X0)
| ~ ssList(X0)
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88322,c_18420]) ).
tcf(c_88453,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(X0)
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88321,c_18420]) ).
tcf(c_88457,plain,
frontsegP(sK56,tl(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_88319,c_18420]) ).
tcf(c_88458,plain,
frontsegP(iPr_def_12,tl(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_88318,c_18420]) ).
tcf(c_88459,plain,
frontsegP(iPr_def_10,tl(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_88317,c_18420]) ).
tcf(c_88460,plain,
app(tl(iPr_def_12),sK11(sK56,tl(iPr_def_12))) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_88315,c_18420]) ).
tcf(c_88461,plain,
( ( tl(iPr_def_12) = sK56 )
| ~ frontsegP(tl(iPr_def_12),sK56) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88314,c_18420]) ).
tcf(c_88464,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88313,c_18420]) ).
tcf(c_88468,plain,
~ frontsegP(tl(iPr_def_12),iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_88312,c_18420]) ).
tcf(c_88699,plain,
( ( nil = sK58 )
| ( hd(sK58) = sK60 ) ),
inference(demodulation,[status(thm)],[c_22464,c_87931]) ).
tcf(c_88701,plain,
sK51(iPr_def_12) = sK60,
inference(demodulation,[status(thm)],[c_17780,c_87931]) ).
tcf(c_88803,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_84514,c_67]) ).
tcf(c_88812,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_84514,c_225]) ).
tcf(c_88813,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_84514,c_226]) ).
tcf(c_88816,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_84514,c_193]) ).
tcf(c_88817,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK58),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84514,c_186]) ).
tcf(c_88822,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK58),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88817,c_141,c_84402]) ).
tcf(c_88826,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_88816,c_141,c_84402]) ).
tcf(c_88831,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(cons(sK60,sK58),X0) != cons(sK60,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88813,c_141,c_84402]) ).
tcf(c_88835,plain,
! [X0: $i] :
( ( cons(sK60,sK58) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != cons(sK60,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88812,c_141,c_84402]) ).
tcf(c_88839,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_88803,c_84514]) ).
tcf(c_88840,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_88839,c_141,c_84402]) ).
tcf(c_88847,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_84515,c_122]) ).
tcf(c_88848,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_84515,c_114]) ).
tcf(c_88849,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_84515,c_130]) ).
tcf(c_88854,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_84515,c_67]) ).
tcf(c_88863,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_84515,c_225]) ).
tcf(c_88867,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_84515,c_226]) ).
tcf(c_88868,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK58),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84515,c_176]) ).
tcf(c_88870,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_84515,c_193]) ).
tcf(c_88873,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK58),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88868,c_141,c_84402]) ).
tcf(c_88877,plain,
! [X0: $i] :
( ( cons(sK60,sK58) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != cons(sK60,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88867,c_141,c_84402]) ).
tcf(c_88881,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,cons(sK60,sK58)) != cons(sK60,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88863,c_141,c_84402]) ).
tcf(c_88885,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_88870,c_141,c_84402]) ).
tcf(c_88890,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_88854,c_84515]) ).
tcf(c_88891,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_88890,c_141,c_84402]) ).
tcf(c_88913,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_88849,c_84515]) ).
tcf(c_88914,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_88913,c_9000,c_141,c_18410]) ).
tcf(c_88918,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_88848,c_84515]) ).
tcf(c_88919,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_88918,c_9000,c_141,c_18410]) ).
tcf(c_88925,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_88847,c_84515]) ).
tcf(c_88926,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_88925,c_9000,c_141,c_18410]) ).
tcf(c_88940,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_85358,c_67]) ).
tcf(c_88949,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_85358,c_225]) ).
tcf(c_88950,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_85358,c_226]) ).
tcf(c_88953,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_85358,c_193]) ).
tcf(c_88954,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_85358,c_186]) ).
tcf(c_88959,plain,
! [X0: $i] :
( rearsegP(cons(sK60,iPr_def_12),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88954,c_141,c_85067]) ).
tcf(c_88963,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_88953,c_141,c_85067]) ).
tcf(c_88968,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_88950,c_141,c_85067]) ).
tcf(c_88972,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_88949,c_141,c_85067]) ).
tcf(c_88976,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_88940,c_85358]) ).
tcf(c_88977,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_88976,c_141,c_85067]) ).
tcf(c_88984,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_85359,c_122]) ).
tcf(c_88985,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_85359,c_114]) ).
tcf(c_88986,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_85359,c_130]) ).
tcf(c_88991,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_85359,c_67]) ).
tcf(c_89000,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_85359,c_225]) ).
tcf(c_89004,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_85359,c_226]) ).
tcf(c_89005,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_85359,c_176]) ).
tcf(c_89007,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_85359,c_193]) ).
tcf(c_89010,plain,
! [X0: $i] :
( frontsegP(cons(sK60,iPr_def_12),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89005,c_141,c_85067]) ).
tcf(c_89014,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_89004,c_141,c_85067]) ).
tcf(c_89018,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_89000,c_141,c_85067]) ).
tcf(c_89022,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_89007,c_141,c_85067]) ).
tcf(c_89027,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_88991,c_85359]) ).
tcf(c_89028,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_89027,c_141,c_85067]) ).
tcf(c_89050,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_88986,c_85359]) ).
tcf(c_89051,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_89050,c_12995,c_141,c_18410]) ).
tcf(c_89055,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_88985,c_85359]) ).
tcf(c_89056,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_89055,c_12995,c_141,c_18410]) ).
tcf(c_89062,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_88984,c_85359]) ).
tcf(c_89063,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_89062,c_12995,c_141,c_18410]) ).
tcf(c_89081,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_88357,c_70]) ).
tcf(c_89082,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_88357,c_190]) ).
tcf(c_89083,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_88357,c_191]) ).
tcf(c_89086,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_89081,c_12995,c_18402]) ).
tcf(c_89087,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_88359,c_70]) ).
tcf(c_89090,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_89087,c_18402]) ).
tcf(c_89095,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_74604]) ).
tcf(c_89096,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_74604]) ).
tcf(c_89097,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_74604]) ).
tcf(c_89098,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_74604]) ).
tcf(c_89099,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_74604]) ).
tcf(c_89100,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_74604]) ).
tcf(c_89101,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_74604]) ).
tcf(c_89111,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_74604]) ).
tcf(c_89112,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_74604]) ).
tcf(c_89113,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_74604]) ).
tcf(c_89114,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_74604]) ).
tcf(c_89115,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_74604]) ).
tcf(c_89116,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_74604]) ).
tcf(c_89117,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_74604]) ).
tcf(c_89118,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_74604]) ).
tcf(c_89119,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_74604]) ).
tcf(c_89120,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_74604]) ).
tcf(c_89121,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_74604]) ).
tcf(c_89122,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_74604]) ).
tcf(c_89123,plain,
app(app(sK58,nil),sK59) = app(sK58,app(nil,sK59)),
inference(superposition,[status(thm)],[c_141,c_74604]) ).
tcf(c_89124,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_74604]) ).
tcf(c_89125,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_74604]) ).
tcf(c_89126,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_74604]) ).
tcf(c_89127,plain,
app(app(sK58,sK56),sK59) = app(sK58,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_9004,c_74604]) ).
tcf(c_89128,plain,
app(app(sK58,sK59),sK59) = app(sK58,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_9003,c_74604]) ).
tcf(c_89129,plain,
app(app(sK58,sK58),sK59) = app(sK58,app(sK58,sK59)),
inference(superposition,[status(thm)],[c_9000,c_74604]) ).
tcf(c_89130,plain,
app(app(sK58,iPr_def_12),sK59) = app(sK58,app(iPr_def_12,sK59)),
inference(superposition,[status(thm)],[c_12995,c_74604]) ).
tcf(c_89131,plain,
app(app(sK58,iPr_def_10),sK59) = app(sK58,app(iPr_def_10,sK59)),
inference(superposition,[status(thm)],[c_18402,c_74604]) ).
tcf(c_89132,plain,
( ( nil = sK56 )
| ( app(app(sK58,tl(sK56)),sK59) = app(sK58,app(tl(sK56),sK59)) ) ),
inference(superposition,[status(thm)],[c_15456,c_74604]) ).
tcf(c_89133,plain,
( ( nil = sK59 )
| ( app(app(sK58,tl(sK59)),sK59) = app(sK58,app(tl(sK59),sK59)) ) ),
inference(superposition,[status(thm)],[c_15493,c_74604]) ).
tcf(c_89134,plain,
( ( nil = sK58 )
| ( app(app(sK58,tl(sK58)),sK59) = app(sK58,app(tl(sK58),sK59)) ) ),
inference(superposition,[status(thm)],[c_15877,c_74604]) ).
tcf(c_89135,plain,
app(app(sK58,cons(sK60,sK56)),sK59) = app(sK58,app(cons(sK60,sK56),sK59)),
inference(superposition,[status(thm)],[c_83536,c_74604]) ).
tcf(c_89136,plain,
app(app(sK58,cons(sK60,sK59)),sK59) = app(sK58,app(cons(sK60,sK59),sK59)),
inference(superposition,[status(thm)],[c_83868,c_74604]) ).
tcf(c_89137,plain,
app(app(sK58,cons(sK60,sK58)),sK59) = app(sK58,app(cons(sK60,sK58),sK59)),
inference(superposition,[status(thm)],[c_84402,c_74604]) ).
tcf(c_89138,plain,
app(app(sK58,cons(sK60,iPr_def_12)),sK59) = app(sK58,app(cons(sK60,iPr_def_12),sK59)),
inference(superposition,[status(thm)],[c_85067,c_74604]) ).
tcf(c_89139,plain,
app(app(sK58,cons(sK60,iPr_def_10)),sK59) = app(sK58,app(cons(sK60,iPr_def_10),sK59)),
inference(superposition,[status(thm)],[c_87053,c_74604]) ).
tcf(c_89140,plain,
( ( app(app(sK58,app(sK56,app(sK56,sK56))),sK59) = app(sK58,app(app(sK56,app(sK56,sK56)),sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_74604]) ).
tcf(c_89141,plain,
( ( app(app(sK58,app(sK56,app(sK59,sK56))),sK59) = app(sK58,app(app(sK56,app(sK59,sK56)),sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_74604]) ).
tcf(c_89142,plain,
( ( app(app(sK58,app(sK56,app(sK58,sK56))),sK59) = app(sK58,app(app(sK56,app(sK58,sK56)),sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_74604]) ).
tcf(c_89143,plain,
( ( app(app(sK58,app(sK59,app(sK56,sK56))),sK59) = app(sK58,app(app(sK59,app(sK56,sK56)),sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_74604]) ).
tcf(c_89144,plain,
( ( app(app(sK58,app(sK59,app(sK59,sK56))),sK59) = app(sK58,app(app(sK59,app(sK59,sK56)),sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_74604]) ).
tcf(c_89145,plain,
( ( app(app(sK58,app(sK59,app(sK58,sK56))),sK59) = app(sK58,app(app(sK59,app(sK58,sK56)),sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_74604]) ).
tcf(c_89146,plain,
( ( app(app(sK58,app(sK58,app(sK56,sK56))),sK59) = app(sK58,app(app(sK58,app(sK56,sK56)),sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_74604]) ).
tcf(c_89147,plain,
( ( app(app(sK58,app(sK58,app(sK59,sK56))),sK59) = app(sK58,app(app(sK58,app(sK59,sK56)),sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_74604]) ).
tcf(c_89148,plain,
( ( app(app(sK58,app(sK58,app(sK58,sK56))),sK59) = app(sK58,app(app(sK58,app(sK58,sK56)),sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_74604]) ).
tcf(c_89149,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_75400,c_74604]) ).
tcf(c_89150,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_75782,c_74604]) ).
tcf(c_89151,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_76382,c_74604]) ).
tcf(c_89152,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_79016,c_74604]) ).
tcf(c_89153,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_80906,c_74604]) ).
tcf(c_89154,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_81446,c_74604]) ).
tcf(c_89155,plain,
app(sK58,cons(sK60,sK59)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_89131,c_18427,c_82726,c_88384]) ).
tcf(c_89156,plain,
app(app(sK58,iPr_def_12),sK59) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_89130,c_18427,c_88384]) ).
tcf(c_89158,plain,
app(app(sK58,cons(sK60,iPr_def_12)),sK59) = app(sK58,cons(sK60,iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_89138,c_88038]) ).
tcf(c_89159,plain,
app(app(sK58,cons(sK60,sK58)),sK59) = app(sK58,cons(sK60,app(sK58,sK59))),
inference(light_normalisation,[status(thm)],[c_89137,c_88211]) ).
tcf(c_89160,plain,
app(app(sK58,cons(sK60,sK59)),sK59) = app(sK58,cons(sK60,app(sK59,sK59))),
inference(light_normalisation,[status(thm)],[c_89136,c_88220]) ).
tcf(c_89161,plain,
app(app(sK58,cons(sK60,sK56)),sK59) = app(sK58,cons(sK60,app(sK56,sK59))),
inference(light_normalisation,[status(thm)],[c_89135,c_88231]) ).
tcf(c_89294,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_89127,c_67]) ).
tcf(c_89297,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_89127,c_167]) ).
tcf(c_89298,plain,
( ( app(sK58,sK56) = nil )
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_89127,c_231]) ).
tcf(c_89299,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_89127,c_230]) ).
tcf(c_89300,plain,
( frontsegP(app(sK58,app(sK56,sK59)),app(sK58,sK56))
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_89127,c_386]) ).
tcf(c_89301,plain,
( rearsegP(app(sK58,app(sK56,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_89127,c_383]) ).
tcf(c_89302,plain,
( ssList(app(sK58,app(sK56,sK59)))
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_89127,c_153]) ).
tcf(c_89303,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_89127,c_225]) ).
tcf(c_89304,plain,
( segmentP(app(sK58,app(sK56,sK59)),sK56)
| ~ ssList(sK58)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(app(app(sK58,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_89127,c_67]) ).
tcf(c_89305,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_89127,c_226]) ).
tcf(c_89306,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_89127,c_176]) ).
tcf(c_89307,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_89127,c_165]) ).
tcf(c_89308,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_89127,c_193]) ).
tcf(c_89309,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_89127,c_186]) ).
tcf(c_89310,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_89127,c_166]) ).
tcf(c_89311,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK56,sK59)),X0)
| ~ ssList(sK58)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_89127,c_193]) ).
tcf(c_89312,plain,
( ( app(sK58,sK56) = iPr_def_12 )
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_89127,c_25424]) ).
tcf(c_89313,plain,
( ( app(sK58,sK56) = nil )
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_89127,c_25408]) ).
tcf(c_89314,plain,
( ssList(app(sK58,app(sK56,sK59)))
| ~ ssList(app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89302,c_9003]) ).
tcf(c_89317,plain,
( rearsegP(app(sK58,app(sK56,sK59)),sK59)
| ~ ssList(app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89301,c_9003]) ).
tcf(c_89320,plain,
( frontsegP(app(sK58,app(sK56,sK59)),app(sK58,sK56))
| ~ ssList(app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89300,c_9003]) ).
tcf(c_89329,plain,
( ( nil = sK59 )
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89299,c_9003]) ).
tcf(c_89333,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_89310,c_9003]) ).
tcf(c_89338,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_89309,c_9003]) ).
tcf(c_89343,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89311,c_9000,c_9003,c_9004]) ).
tcf(c_89347,plain,
( segmentP(app(sK58,app(sK56,sK59)),sK56)
| ~ ssList(sK58)
| ~ ssList(sK59)
| ~ ssList(sK56)
| ~ ssList(app(sK58,app(sK56,sK59))) ),
inference(light_normalisation,[status(thm)],[c_89304,c_89127]) ).
tcf(c_89348,plain,
( segmentP(app(sK58,app(sK56,sK59)),sK56)
| ~ ssList(app(sK58,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89347,c_9000,c_9003,c_9004]) ).
tcf(c_89351,plain,
( ( app(sK58,sK56) = nil )
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89298,c_9003]) ).
tcf(c_89355,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_89307,c_9003]) ).
tcf(c_89360,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_89306,c_9003]) ).
tcf(c_89365,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_89308,c_9003]) ).
tcf(c_89371,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_89297,c_9003]) ).
tcf(c_89377,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_89305,c_9003]) ).
tcf(c_89382,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_89303,c_9003]) ).
tcf(c_89387,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_89294,c_89127]) ).
tcf(c_89388,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_89387,c_9003]) ).
tcf(c_89407,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_89314,c_228]) ).
tcf(c_89408,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_89314,c_74604]) ).
tcf(c_89409,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_89314,c_19073]) ).
tcf(c_89410,plain,
( ( app(sK12(app(sK58,app(sK56,sK59)),nil),nil) = app(sK58,app(sK56,sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_89314,c_18475]) ).
tcf(c_89411,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_89314,c_18447]) ).
tcf(c_89412,plain,
( ( app(nil,sK11(app(sK58,app(sK56,sK59)),nil)) = app(sK58,app(sK56,sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_89314,c_17916]) ).
tcf(c_89413,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_89314,c_17876]) ).
tcf(c_89414,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_89314,c_74603]) ).
tcf(c_89415,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_89314,c_74602]) ).
tcf(c_89416,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_89314,c_23050]) ).
tcf(c_89417,plain,
( ( app(app(sK58,app(sK58,app(sK56,sK59))),sK56) = app(sK58,app(app(sK58,app(sK56,sK59)),sK56)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_89314,c_64254]) ).
tcf(c_89418,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_89314,c_64253]) ).
tcf(c_89419,plain,
( ( app(app(sK56,app(sK58,app(sK56,sK59))),sK56) = app(sK56,app(app(sK58,app(sK56,sK59)),sK56)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_89314,c_64252]) ).
tcf(c_89420,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_89314,c_23049]) ).
tcf(c_89421,plain,
( ( hd(cons(sK60,app(sK58,app(sK56,sK59)))) = sK60 )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_89314,c_19068]) ).
tcf(c_89422,plain,
( ( tl(cons(sK60,app(sK58,app(sK56,sK59)))) = app(sK58,app(sK56,sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_89314,c_19067]) ).
tcf(c_89423,plain,
( ( tl(cons(sK7,app(sK58,app(sK56,sK59)))) = app(sK58,app(sK56,sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_89314,c_14098]) ).
tcf(c_89424,plain,
( ( tl(cons(sK6,app(sK58,app(sK56,sK59)))) = app(sK58,app(sK56,sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_89314,c_14097]) ).
tcf(c_89425,plain,
( ( hd(cons(sK7,app(sK58,app(sK56,sK59)))) = sK7 )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_89314,c_13924]) ).
tcf(c_89426,plain,
( ( hd(cons(sK6,app(sK58,app(sK56,sK59)))) = sK6 )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_89314,c_13923]) ).
tcf(c_89427,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_89314,c_21826]) ).
tcf(c_89428,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_89314,c_21825]) ).
tcf(c_89429,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_89314,c_21824]) ).
tcf(c_89430,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_89314,c_124]) ).
tcf(c_89431,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_89314,c_116]) ).
tcf(c_89432,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_89314,c_108]) ).
tcf(c_89433,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK58,app(sK56,sK59)))) = hd(sK58) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_89314,c_19350]) ).
tcf(c_89434,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_89314,c_234]) ).
tcf(c_89435,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK58,app(sK56,sK59)))) = hd(sK59) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_89314,c_19349]) ).
tcf(c_89436,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK58,app(sK56,sK59)))) = hd(sK56) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_89314,c_19348]) ).
tcf(c_89437,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_89314,c_132]) ).
tcf(c_89438,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_89314,c_233]) ).
tcf(c_89439,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_89314,c_224]) ).
tcf(c_89440,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_89314,c_147]) ).
tcf(c_89441,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_89314,c_222]) ).
tcf(c_89442,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_89314,c_220]) ).
tcf(c_89443,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_89314,c_123]) ).
tcf(c_89444,plain,
( ( app(app(sK58,app(sK56,sK59)),nil) = app(sK58,app(sK56,sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_89314,c_232]) ).
tcf(c_89445,plain,
( ( app(nil,app(sK58,app(sK56,sK59))) = app(sK58,app(sK56,sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_89314,c_155]) ).
tcf(c_89552,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_89128,c_67]) ).
tcf(c_89555,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_89128,c_167]) ).
tcf(c_89556,plain,
( ( app(sK58,sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_89128,c_231]) ).
tcf(c_89557,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_89128,c_230]) ).
tcf(c_89558,plain,
( frontsegP(app(sK58,app(sK59,sK59)),app(sK58,sK59))
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_89128,c_386]) ).
tcf(c_89559,plain,
( rearsegP(app(sK58,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_89128,c_383]) ).
tcf(c_89560,plain,
( ssList(app(sK58,app(sK59,sK59)))
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_89128,c_153]) ).
tcf(c_89561,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_89128,c_225]) ).
tcf(c_89562,plain,
( segmentP(app(sK58,app(sK59,sK59)),sK59)
| ~ ssList(sK58)
| ~ ssList(sK59)
| ~ ssList(app(app(sK58,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_89128,c_67]) ).
tcf(c_89563,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_89128,c_226]) ).
tcf(c_89564,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_89128,c_176]) ).
tcf(c_89565,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_89128,c_165]) ).
tcf(c_89566,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_89128,c_193]) ).
tcf(c_89567,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_89128,c_186]) ).
tcf(c_89568,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_89128,c_166]) ).
tcf(c_89569,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK59,sK59)),X0)
| ~ ssList(sK58)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_89128,c_193]) ).
tcf(c_89570,plain,
( ( app(sK58,sK59) = iPr_def_12 )
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_89128,c_25424]) ).
tcf(c_89571,plain,
( ( app(sK58,sK59) = nil )
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_89128,c_25408]) ).
tcf(c_89572,plain,
( ssList(app(sK58,app(sK59,sK59)))
| ~ ssList(app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89560,c_9003]) ).
tcf(c_89575,plain,
( rearsegP(app(sK58,app(sK59,sK59)),sK59)
| ~ ssList(app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89559,c_9003]) ).
tcf(c_89578,plain,
( frontsegP(app(sK58,app(sK59,sK59)),app(sK58,sK59))
| ~ ssList(app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89558,c_9003]) ).
tcf(c_89587,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89569,c_9000,c_9003]) ).
tcf(c_89591,plain,
( segmentP(app(sK58,app(sK59,sK59)),sK59)
| ~ ssList(sK58)
| ~ ssList(sK59)
| ~ ssList(app(sK58,app(sK59,sK59))) ),
inference(light_normalisation,[status(thm)],[c_89562,c_89128]) ).
tcf(c_89592,plain,
( segmentP(app(sK58,app(sK59,sK59)),sK59)
| ~ ssList(app(sK58,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89591,c_9000,c_9003]) ).
tcf(c_89595,plain,
( ( nil = sK59 )
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89557,c_9003]) ).
tcf(c_89599,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_89568,c_9003]) ).
tcf(c_89604,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_89567,c_9003]) ).
tcf(c_89609,plain,
( ( app(sK58,sK59) = nil )
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89556,c_9003]) ).
tcf(c_89613,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_89565,c_9003]) ).
tcf(c_89618,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_89564,c_9003]) ).
tcf(c_89623,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_89566,c_9003]) ).
tcf(c_89629,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_89555,c_9003]) ).
tcf(c_89635,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_89563,c_9003]) ).
tcf(c_89640,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_89561,c_9003]) ).
tcf(c_89645,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_89552,c_89128]) ).
tcf(c_89646,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_89645,c_9003]) ).
tcf(c_89665,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_89572,c_228]) ).
tcf(c_89666,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_89572,c_74604]) ).
tcf(c_89667,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_89572,c_19073]) ).
tcf(c_89668,plain,
( ( app(sK12(app(sK58,app(sK59,sK59)),nil),nil) = app(sK58,app(sK59,sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_89572,c_18475]) ).
tcf(c_89669,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_89572,c_18447]) ).
tcf(c_89670,plain,
( ( app(nil,sK11(app(sK58,app(sK59,sK59)),nil)) = app(sK58,app(sK59,sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_89572,c_17916]) ).
tcf(c_89671,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_89572,c_17876]) ).
tcf(c_89672,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_89572,c_74603]) ).
tcf(c_89673,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_89572,c_74602]) ).
tcf(c_89674,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_89572,c_23050]) ).
tcf(c_89675,plain,
( ( app(app(sK58,app(sK58,app(sK59,sK59))),sK56) = app(sK58,app(app(sK58,app(sK59,sK59)),sK56)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_89572,c_64254]) ).
tcf(c_89676,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_89572,c_64253]) ).
tcf(c_89677,plain,
( ( app(app(sK56,app(sK58,app(sK59,sK59))),sK56) = app(sK56,app(app(sK58,app(sK59,sK59)),sK56)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_89572,c_64252]) ).
tcf(c_89678,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_89572,c_23049]) ).
tcf(c_89679,plain,
( ( hd(cons(sK60,app(sK58,app(sK59,sK59)))) = sK60 )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_89572,c_19068]) ).
tcf(c_89680,plain,
( ( tl(cons(sK60,app(sK58,app(sK59,sK59)))) = app(sK58,app(sK59,sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_89572,c_19067]) ).
tcf(c_89681,plain,
( ( tl(cons(sK7,app(sK58,app(sK59,sK59)))) = app(sK58,app(sK59,sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_89572,c_14098]) ).
tcf(c_89682,plain,
( ( tl(cons(sK6,app(sK58,app(sK59,sK59)))) = app(sK58,app(sK59,sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_89572,c_14097]) ).
tcf(c_89683,plain,
( ( hd(cons(sK7,app(sK58,app(sK59,sK59)))) = sK7 )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_89572,c_13924]) ).
tcf(c_89684,plain,
( ( hd(cons(sK6,app(sK58,app(sK59,sK59)))) = sK6 )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_89572,c_13923]) ).
tcf(c_89685,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_89572,c_21826]) ).
tcf(c_89686,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_89572,c_21825]) ).
tcf(c_89687,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_89572,c_21824]) ).
tcf(c_89688,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_89572,c_124]) ).
tcf(c_89689,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_89572,c_116]) ).
tcf(c_89690,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_89572,c_108]) ).
tcf(c_89691,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK58,app(sK59,sK59)))) = hd(sK58) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_89572,c_19350]) ).
tcf(c_89692,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_89572,c_234]) ).
tcf(c_89693,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK58,app(sK59,sK59)))) = hd(sK59) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_89572,c_19349]) ).
tcf(c_89694,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK58,app(sK59,sK59)))) = hd(sK56) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_89572,c_19348]) ).
tcf(c_89695,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_89572,c_132]) ).
tcf(c_89696,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_89572,c_233]) ).
tcf(c_89697,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_89572,c_224]) ).
tcf(c_89698,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_89572,c_147]) ).
tcf(c_89699,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_89572,c_222]) ).
tcf(c_89700,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_89572,c_220]) ).
tcf(c_89701,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_89572,c_123]) ).
tcf(c_89702,plain,
( ( app(app(sK58,app(sK59,sK59)),nil) = app(sK58,app(sK59,sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_89572,c_232]) ).
tcf(c_89703,plain,
( ( app(nil,app(sK58,app(sK59,sK59))) = app(sK58,app(sK59,sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_89572,c_155]) ).
tcf(c_89810,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_89129,c_67]) ).
tcf(c_89813,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_89129,c_167]) ).
tcf(c_89814,plain,
( ( app(sK58,sK58) = nil )
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_89129,c_231]) ).
tcf(c_89815,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_89129,c_230]) ).
tcf(c_89816,plain,
( frontsegP(app(sK58,app(sK58,sK59)),app(sK58,sK58))
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_89129,c_386]) ).
tcf(c_89817,plain,
( rearsegP(app(sK58,app(sK58,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_89129,c_383]) ).
tcf(c_89818,plain,
( ssList(app(sK58,app(sK58,sK59)))
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_89129,c_153]) ).
tcf(c_89819,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_89129,c_225]) ).
tcf(c_89820,plain,
( segmentP(app(sK58,app(sK58,sK59)),sK58)
| ~ ssList(sK58)
| ~ ssList(sK59)
| ~ ssList(app(app(sK58,sK58),sK59)) ),
inference(superposition,[status(thm)],[c_89129,c_67]) ).
tcf(c_89821,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_89129,c_226]) ).
tcf(c_89822,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_89129,c_176]) ).
tcf(c_89823,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_89129,c_165]) ).
tcf(c_89824,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_89129,c_193]) ).
tcf(c_89825,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_89129,c_186]) ).
tcf(c_89826,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_89129,c_166]) ).
tcf(c_89827,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK58,sK59)),X0)
| ~ ssList(sK58)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_89129,c_193]) ).
tcf(c_89828,plain,
( ( app(sK58,sK58) = iPr_def_12 )
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_89129,c_25424]) ).
tcf(c_89829,plain,
( ( app(sK58,sK58) = nil )
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_89129,c_25408]) ).
tcf(c_89830,plain,
( ssList(app(sK58,app(sK58,sK59)))
| ~ ssList(app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89818,c_9003]) ).
tcf(c_89833,plain,
( rearsegP(app(sK58,app(sK58,sK59)),sK59)
| ~ ssList(app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89817,c_9003]) ).
tcf(c_89836,plain,
( frontsegP(app(sK58,app(sK58,sK59)),app(sK58,sK58))
| ~ ssList(app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89816,c_9003]) ).
tcf(c_89845,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK58,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89827,c_9000,c_9003]) ).
tcf(c_89849,plain,
( segmentP(app(sK58,app(sK58,sK59)),sK58)
| ~ ssList(sK58)
| ~ ssList(sK59)
| ~ ssList(app(sK58,app(sK58,sK59))) ),
inference(light_normalisation,[status(thm)],[c_89820,c_89129]) ).
tcf(c_89850,plain,
( segmentP(app(sK58,app(sK58,sK59)),sK58)
| ~ ssList(app(sK58,app(sK58,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89849,c_9000,c_9003]) ).
tcf(c_89853,plain,
( ( nil = sK59 )
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89815,c_9003]) ).
tcf(c_89857,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_89826,c_9003]) ).
tcf(c_89862,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_89825,c_9003]) ).
tcf(c_89867,plain,
( ( app(sK58,sK58) = nil )
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89814,c_9003]) ).
tcf(c_89871,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_89823,c_9003]) ).
tcf(c_89876,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_89822,c_9003]) ).
tcf(c_89881,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_89824,c_9003]) ).
tcf(c_89887,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_89813,c_9003]) ).
tcf(c_89893,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_89821,c_9003]) ).
tcf(c_89898,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_89819,c_9003]) ).
tcf(c_89903,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_89810,c_89129]) ).
tcf(c_89904,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_89903,c_9003]) ).
tcf(c_89923,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_89830,c_228]) ).
tcf(c_89924,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_89830,c_74604]) ).
tcf(c_89925,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_89830,c_19073]) ).
tcf(c_89926,plain,
( ( app(sK12(app(sK58,app(sK58,sK59)),nil),nil) = app(sK58,app(sK58,sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_89830,c_18475]) ).
tcf(c_89927,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_89830,c_18447]) ).
tcf(c_89928,plain,
( ( app(nil,sK11(app(sK58,app(sK58,sK59)),nil)) = app(sK58,app(sK58,sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_89830,c_17916]) ).
tcf(c_89929,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_89830,c_17876]) ).
tcf(c_89930,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_89830,c_74603]) ).
tcf(c_89931,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_89830,c_74602]) ).
tcf(c_89932,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_89830,c_23050]) ).
tcf(c_89933,plain,
( ( app(app(sK58,app(sK58,app(sK58,sK59))),sK56) = app(sK58,app(app(sK58,app(sK58,sK59)),sK56)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_89830,c_64254]) ).
tcf(c_89934,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_89830,c_64253]) ).
tcf(c_89935,plain,
( ( app(app(sK56,app(sK58,app(sK58,sK59))),sK56) = app(sK56,app(app(sK58,app(sK58,sK59)),sK56)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_89830,c_64252]) ).
tcf(c_89936,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_89830,c_23049]) ).
tcf(c_89937,plain,
( ( hd(cons(sK60,app(sK58,app(sK58,sK59)))) = sK60 )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_89830,c_19068]) ).
tcf(c_89938,plain,
( ( tl(cons(sK60,app(sK58,app(sK58,sK59)))) = app(sK58,app(sK58,sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_89830,c_19067]) ).
tcf(c_89939,plain,
( ( tl(cons(sK7,app(sK58,app(sK58,sK59)))) = app(sK58,app(sK58,sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_89830,c_14098]) ).
tcf(c_89940,plain,
( ( tl(cons(sK6,app(sK58,app(sK58,sK59)))) = app(sK58,app(sK58,sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_89830,c_14097]) ).
tcf(c_89941,plain,
( ( hd(cons(sK7,app(sK58,app(sK58,sK59)))) = sK7 )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_89830,c_13924]) ).
tcf(c_89942,plain,
( ( hd(cons(sK6,app(sK58,app(sK58,sK59)))) = sK6 )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_89830,c_13923]) ).
tcf(c_89943,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_89830,c_21826]) ).
tcf(c_89944,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_89830,c_21825]) ).
tcf(c_89945,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_89830,c_21824]) ).
tcf(c_89946,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_89830,c_124]) ).
tcf(c_89947,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_89830,c_116]) ).
tcf(c_89948,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_89830,c_108]) ).
tcf(c_89949,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK58,app(sK58,sK59)))) = hd(sK58) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_89830,c_19350]) ).
tcf(c_89950,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_89830,c_234]) ).
tcf(c_89951,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK58,app(sK58,sK59)))) = hd(sK59) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_89830,c_19349]) ).
tcf(c_89952,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK58,app(sK58,sK59)))) = hd(sK56) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_89830,c_19348]) ).
tcf(c_89953,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_89830,c_132]) ).
tcf(c_89954,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_89830,c_233]) ).
tcf(c_89955,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_89830,c_224]) ).
tcf(c_89956,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_89830,c_147]) ).
tcf(c_89957,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_89830,c_222]) ).
tcf(c_89958,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_89830,c_220]) ).
tcf(c_89959,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_89830,c_123]) ).
tcf(c_89960,plain,
( ( app(app(sK58,app(sK58,sK59)),nil) = app(sK58,app(sK58,sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_89830,c_232]) ).
tcf(c_89961,plain,
( ( app(nil,app(sK58,app(sK58,sK59))) = app(sK58,app(sK58,sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_89830,c_155]) ).
tcf(c_90107,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_21581,c_223]) ).
tcf(c_90108,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_21581,c_212]) ).
tcf(c_90109,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_21581,c_206]) ).
tcf(c_90136,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,iPr_def_10),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,iPr_def_10))
| ~ ssList(app(app(cons(sK60,iPr_def_10),nil),X0)) ),
inference(superposition,[status(thm)],[c_87152,c_67]) ).
tcf(c_90145,plain,
! [X0: $i] :
( ( cons(sK60,iPr_def_10) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,iPr_def_10))
| ( app(X0,nil) != cons(sK60,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_87152,c_225]) ).
tcf(c_90146,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,iPr_def_10))
| ( app(cons(sK60,iPr_def_10),X0) != cons(sK60,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_87152,c_226]) ).
tcf(c_90149,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,iPr_def_10),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK60,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_87152,c_193]) ).
tcf(c_90150,plain,
! [X0: $i] :
( rearsegP(cons(sK60,iPr_def_10),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK60,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_87152,c_186]) ).
tcf(c_90155,plain,
! [X0: $i] :
( rearsegP(cons(sK60,iPr_def_10),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90150,c_141,c_87053]) ).
tcf(c_90159,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,iPr_def_10),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90149,c_141,c_87053]) ).
tcf(c_90164,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(cons(sK60,iPr_def_10),X0) != cons(sK60,iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90146,c_141,c_87053]) ).
tcf(c_90168,plain,
! [X0: $i] :
( ( cons(sK60,iPr_def_10) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != cons(sK60,iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90145,c_141,c_87053]) ).
tcf(c_90172,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,iPr_def_10),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,iPr_def_10))
| ~ ssList(app(cons(sK60,iPr_def_10),X0)) ),
inference(light_normalisation,[status(thm)],[c_90136,c_87152]) ).
tcf(c_90173,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,iPr_def_10),X0),nil)
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,iPr_def_10),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90172,c_141,c_87053]) ).
tcf(c_90234,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(cons(sK60,iPr_def_10),cons(X0,X1)))
| ~ strictorderedP(app(app(nil,cons(sK60,iPr_def_10)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_87153,c_122]) ).
tcf(c_90235,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(cons(sK60,iPr_def_10),cons(X0,X1)))
| ~ totalorderedP(app(app(nil,cons(sK60,iPr_def_10)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_87153,c_114]) ).
tcf(c_90236,plain,
! [X0: $i] :
( ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,iPr_def_10),cons(sK60,X0)))
| ~ duplicatefreeP(app(app(nil,cons(sK60,iPr_def_10)),cons(sK60,X0))) ),
inference(superposition,[status(thm)],[c_87153,c_130]) ).
tcf(c_90241,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,iPr_def_10),X0),cons(sK60,iPr_def_10))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,iPr_def_10))
| ~ ssList(app(app(nil,cons(sK60,iPr_def_10)),X0)) ),
inference(superposition,[status(thm)],[c_87153,c_67]) ).
tcf(c_90250,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,iPr_def_10))
| ( app(X0,cons(sK60,iPr_def_10)) != cons(sK60,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_87153,c_225]) ).
tcf(c_90254,plain,
! [X0: $i] :
( ( cons(sK60,iPr_def_10) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,iPr_def_10))
| ( app(nil,X0) != cons(sK60,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_87153,c_226]) ).
tcf(c_90255,plain,
! [X0: $i] :
( frontsegP(cons(sK60,iPr_def_10),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK60,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_87153,c_176]) ).
tcf(c_90257,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,iPr_def_10),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK60,iPr_def_10))
| ~ segmentP(cons(sK60,iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_87153,c_193]) ).
tcf(c_90260,plain,
! [X0: $i] :
( frontsegP(cons(sK60,iPr_def_10),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90255,c_141,c_87053]) ).
tcf(c_90264,plain,
! [X0: $i] :
( ( cons(sK60,iPr_def_10) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != cons(sK60,iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90254,c_141,c_87053]) ).
tcf(c_90268,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,cons(sK60,iPr_def_10)) != cons(sK60,iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90250,c_141,c_87053]) ).
tcf(c_90272,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,iPr_def_10),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(cons(sK60,iPr_def_10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90257,c_141,c_87053]) ).
tcf(c_90277,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,iPr_def_10),X0),cons(sK60,iPr_def_10))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,iPr_def_10))
| ~ ssList(app(cons(sK60,iPr_def_10),X0)) ),
inference(light_normalisation,[status(thm)],[c_90241,c_87153]) ).
tcf(c_90278,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,iPr_def_10),X0),cons(sK60,iPr_def_10))
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,iPr_def_10),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90277,c_141,c_87053]) ).
tcf(c_90300,plain,
! [X0: $i] :
( ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X0)
| ~ duplicatefreeP(app(cons(sK60,iPr_def_10),cons(sK60,X0)))
| ~ ssList(app(cons(sK60,iPr_def_10),cons(sK60,X0))) ),
inference(light_normalisation,[status(thm)],[c_90236,c_87153]) ).
tcf(c_90301,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ duplicatefreeP(app(cons(sK60,iPr_def_10),cons(sK60,X0)))
| ~ ssList(app(cons(sK60,iPr_def_10),cons(sK60,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90300,c_18402,c_141,c_18410]) ).
tcf(c_90305,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(app(cons(sK60,iPr_def_10),cons(X0,X1)))
| ~ ssList(app(cons(sK60,iPr_def_10),cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_90235,c_87153]) ).
tcf(c_90306,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(app(cons(sK60,iPr_def_10),cons(X0,X1)))
| ~ ssList(app(cons(sK60,iPr_def_10),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90305,c_18402,c_141,c_18410]) ).
tcf(c_90312,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(app(cons(sK60,iPr_def_10),cons(X0,X1)))
| ~ ssList(app(cons(sK60,iPr_def_10),cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_90234,c_87153]) ).
tcf(c_90313,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(app(cons(sK60,iPr_def_10),cons(X0,X1)))
| ~ ssList(app(cons(sK60,iPr_def_10),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90312,c_18402,c_141,c_18410]) ).
tcf(c_90327,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_88375,c_183]) ).
tcf(c_90328,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_88375,c_184]) ).
tcf(c_90338,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_89317,c_183]) ).
tcf(c_90339,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_89317,c_184]) ).
tcf(c_90340,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_89317,c_66]) ).
tcf(c_90342,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_90340,c_9003]) ).
tcf(c_90346,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_90339,c_9003]) ).
tcf(c_90355,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_89575,c_183]) ).
tcf(c_90356,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_89575,c_184]) ).
tcf(c_90357,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_89575,c_66]) ).
tcf(c_90359,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_90357,c_9003]) ).
tcf(c_90363,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_90356,c_9003]) ).
tcf(c_90372,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_89833,c_183]) ).
tcf(c_90373,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_89833,c_184]) ).
tcf(c_90374,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_89833,c_66]) ).
tcf(c_90376,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_90374,c_9003]) ).
tcf(c_90380,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_90373,c_9003]) ).
tcf(c_90390,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_89320,c_174]) ).
tcf(c_90391,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_89320,c_63]) ).
tcf(c_90405,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_89343,c_70]) ).
tcf(c_90406,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_89343,c_190]) ).
tcf(c_90407,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_89343,c_191]) ).
tcf(c_90493,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_89348,c_70]) ).
tcf(c_90494,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_89348,c_190]) ).
tcf(c_90495,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_89348,c_191]) ).
tcf(c_90497,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_90495,c_9004]) ).
tcf(c_90501,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_90493,c_9004]) ).
tcf(c_90509,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_89578,c_174]) ).
tcf(c_90510,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_89578,c_63]) ).
tcf(c_90524,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_89587,c_70]) ).
tcf(c_90525,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_89587,c_190]) ).
tcf(c_90526,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_89587,c_191]) ).
tcf(c_90550,plain,
! [X0: $i] :
( ( hd(app(iPr_def_12,X0)) = sK60 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_19364,c_87931]) ).
tcf(c_90557,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_90550]) ).
tcf(c_90558,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_90550]) ).
tcf(c_90559,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_90550]) ).
tcf(c_90560,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_90550]) ).
tcf(c_90561,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_90550]) ).
tcf(c_90562,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_90550]) ).
tcf(c_90563,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_90550]) ).
tcf(c_90573,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(app(iPr_def_12,sK34(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_90550]) ).
tcf(c_90574,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(app(iPr_def_12,sK33(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_90550]) ).
tcf(c_90575,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(app(iPr_def_12,sK32(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_90550]) ).
tcf(c_90576,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(app(iPr_def_12,sK39(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_90550]) ).
tcf(c_90577,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(app(iPr_def_12,sK38(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_90550]) ).
tcf(c_90578,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(app(iPr_def_12,sK37(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_90550]) ).
tcf(c_90579,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(app(iPr_def_12,sK44(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_90550]) ).
tcf(c_90580,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(app(iPr_def_12,sK43(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_90550]) ).
tcf(c_90581,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(app(iPr_def_12,sK42(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_90550]) ).
tcf(c_90582,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(app(iPr_def_12,sK48(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_90550]) ).
tcf(c_90583,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(app(iPr_def_12,sK47(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_90550]) ).
tcf(c_90584,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_90550]) ).
tcf(c_90585,plain,
hd(app(iPr_def_12,nil)) = sK60,
inference(superposition,[status(thm)],[c_141,c_90550]) ).
tcf(c_90586,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(app(iPr_def_12,sK49(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_90550]) ).
tcf(c_90587,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(app(iPr_def_12,tl(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_90550]) ).
tcf(c_90588,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(app(iPr_def_12,sK52(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_90550]) ).
tcf(c_90589,plain,
hd(app(iPr_def_12,sK56)) = sK60,
inference(superposition,[status(thm)],[c_9004,c_90550]) ).
tcf(c_90590,plain,
hd(app(iPr_def_12,sK59)) = sK60,
inference(superposition,[status(thm)],[c_9003,c_90550]) ).
tcf(c_90591,plain,
hd(app(iPr_def_12,sK58)) = sK60,
inference(superposition,[status(thm)],[c_9000,c_90550]) ).
tcf(c_90592,plain,
hd(app(iPr_def_12,iPr_def_12)) = sK60,
inference(superposition,[status(thm)],[c_12995,c_90550]) ).
tcf(c_90593,plain,
hd(app(iPr_def_12,iPr_def_10)) = sK60,
inference(superposition,[status(thm)],[c_18402,c_90550]) ).
tcf(c_90594,plain,
( ( nil = sK56 )
| ( hd(app(iPr_def_12,tl(sK56))) = sK60 ) ),
inference(superposition,[status(thm)],[c_15456,c_90550]) ).
tcf(c_90595,plain,
( ( nil = sK59 )
| ( hd(app(iPr_def_12,tl(sK59))) = sK60 ) ),
inference(superposition,[status(thm)],[c_15493,c_90550]) ).
tcf(c_90596,plain,
( ( nil = sK58 )
| ( hd(app(iPr_def_12,tl(sK58))) = sK60 ) ),
inference(superposition,[status(thm)],[c_15877,c_90550]) ).
tcf(c_90597,plain,
hd(app(iPr_def_12,cons(sK60,sK56))) = sK60,
inference(superposition,[status(thm)],[c_83536,c_90550]) ).
tcf(c_90598,plain,
hd(app(iPr_def_12,cons(sK60,sK59))) = sK60,
inference(superposition,[status(thm)],[c_83868,c_90550]) ).
tcf(c_90599,plain,
hd(app(iPr_def_12,cons(sK60,sK58))) = sK60,
inference(superposition,[status(thm)],[c_84402,c_90550]) ).
tcf(c_90600,plain,
hd(app(iPr_def_12,cons(sK60,iPr_def_12))) = sK60,
inference(superposition,[status(thm)],[c_85067,c_90550]) ).
tcf(c_90601,plain,
hd(app(iPr_def_12,cons(sK60,iPr_def_10))) = sK60,
inference(superposition,[status(thm)],[c_87053,c_90550]) ).
tcf(c_90602,plain,
( ( hd(app(iPr_def_12,app(sK56,app(sK56,sK56)))) = sK60 )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_90550]) ).
tcf(c_90603,plain,
( ( hd(app(iPr_def_12,app(sK56,app(sK59,sK56)))) = sK60 )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_90550]) ).
tcf(c_90604,plain,
( ( hd(app(iPr_def_12,app(sK56,app(sK58,sK56)))) = sK60 )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_90550]) ).
tcf(c_90605,plain,
( ( hd(app(iPr_def_12,app(sK59,app(sK56,sK56)))) = sK60 )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_90550]) ).
tcf(c_90606,plain,
( ( hd(app(iPr_def_12,app(sK59,app(sK59,sK56)))) = sK60 )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_90550]) ).
tcf(c_90607,plain,
( ( hd(app(iPr_def_12,app(sK59,app(sK58,sK56)))) = sK60 )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_90550]) ).
tcf(c_90608,plain,
( ( hd(app(iPr_def_12,app(sK58,app(sK56,sK56)))) = sK60 )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_90550]) ).
tcf(c_90609,plain,
( ( hd(app(iPr_def_12,app(sK58,app(sK59,sK56)))) = sK60 )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_90550]) ).
tcf(c_90610,plain,
( ( hd(app(iPr_def_12,app(sK58,app(sK58,sK56)))) = sK60 )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_90550]) ).
tcf(c_90611,plain,
( ( hd(app(iPr_def_12,app(sK56,app(sK56,sK59)))) = sK60 )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_75400,c_90550]) ).
tcf(c_90612,plain,
( ( hd(app(iPr_def_12,app(sK56,app(sK59,sK59)))) = sK60 )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_75782,c_90550]) ).
tcf(c_90613,plain,
( ( hd(app(iPr_def_12,app(sK56,app(sK58,sK59)))) = sK60 )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_76382,c_90550]) ).
tcf(c_90614,plain,
( ( hd(app(iPr_def_12,app(sK59,app(sK56,sK59)))) = sK60 )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_79016,c_90550]) ).
tcf(c_90615,plain,
( ( hd(app(iPr_def_12,app(sK59,app(sK59,sK59)))) = sK60 )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_80906,c_90550]) ).
tcf(c_90616,plain,
( ( hd(app(iPr_def_12,app(sK59,app(sK58,sK59)))) = sK60 )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_81446,c_90550]) ).
tcf(c_90617,plain,
( ( hd(app(iPr_def_12,app(sK58,app(sK56,sK59)))) = sK60 )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_89314,c_90550]) ).
tcf(c_90618,plain,
( ( hd(app(iPr_def_12,app(sK58,app(sK59,sK59)))) = sK60 )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_89572,c_90550]) ).
tcf(c_90619,plain,
( ( hd(app(iPr_def_12,app(sK58,app(sK58,sK59)))) = sK60 )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_89830,c_90550]) ).
tcf(c_90957,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_90589,c_223]) ).
tcf(c_90958,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_90589,c_212]) ).
tcf(c_90959,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_90589,c_206]) ).
tcf(c_90983,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_90591,c_223]) ).
tcf(c_90984,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_90591,c_212]) ).
tcf(c_90985,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_90591,c_206]) ).
tcf(c_91029,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_89592,c_70]) ).
tcf(c_91030,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_89592,c_190]) ).
tcf(c_91031,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_89592,c_191]) ).
tcf(c_91033,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_91031,c_9003]) ).
tcf(c_91037,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_91029,c_9003]) ).
tcf(c_91045,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_89836,c_174]) ).
tcf(c_91046,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_89836,c_63]) ).
tcf(c_91060,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_89845,c_70]) ).
tcf(c_91061,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_89845,c_190]) ).
tcf(c_91062,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_89845,c_191]) ).
tcf(c_91089,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_89850,c_70]) ).
tcf(c_91090,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_89850,c_190]) ).
tcf(c_91091,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_89850,c_191]) ).
tcf(c_91093,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_91091,c_9000]) ).
tcf(c_91097,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_91089,c_9000]) ).
tcf(c_91193,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ memberP(cons(sK60,sK59),X0)
| ~ ssItem(X0) ),
inference(global_subsumption_just,[status(thm)],[c_83906,c_22330,c_83906]) ).
tcf(c_91194,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK59),X0) ),
inference(renaming,[status(thm)],[c_91193]) ).
tcf(c_91203,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssList(sK59)
| ~ ssItem(sK60)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(superposition,[status(thm)],[c_169,c_91194]) ).
tcf(c_91208,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ memberP(cons(sK60,sK58),X0)
| ~ ssItem(X0) ),
inference(global_subsumption_just,[status(thm)],[c_84437,c_52676,c_84437]) ).
tcf(c_91209,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK58),X0) ),
inference(renaming,[status(thm)],[c_91208]) ).
tcf(c_91218,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssList(sK58)
| ~ ssItem(sK60)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(superposition,[status(thm)],[c_169,c_91209]) ).
tcf(c_91228,plain,
( ( nil = sK56 )
| ~ ssList(nil)
| ( cons(sK60,sK56) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_18401,c_83576]) ).
tcf(c_91229,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_19626,c_83576]) ).
tcf(c_91230,plain,
( ( sK56 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( cons(sK60,sK56) != cons(sK60,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_82730,c_83576]) ).
tcf(c_91232,plain,
( ( sK56 = sK59 )
| ~ ssList(sK59)
| ( cons(sK60,sK56) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_82726,c_83576]) ).
tcf(c_91233,plain,
( ( sK56 = sK58 )
| ~ ssList(sK58)
| ( cons(sK60,sK56) != cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_82727,c_83576]) ).
tcf(c_91234,plain,
( ( sK56 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ( cons(sK60,sK56) != cons(sK60,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_82728,c_83576]) ).
tcf(c_91235,plain,
( ( nil = sK56 )
| ( cons(sK60,sK56) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91228,c_141]) ).
tcf(c_91238,plain,
( ( sK56 = iPr_def_12 )
| ( cons(sK60,sK56) != cons(sK60,iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91234,c_12995]) ).
tcf(c_91243,plain,
( ( sK56 = iPr_def_10 )
| ( cons(sK60,sK56) != cons(sK60,iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91230,c_18402]) ).
tcf(c_91255,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_21583,c_223]) ).
tcf(c_91256,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_21583,c_212]) ).
tcf(c_91257,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_21583,c_206]) ).
tcf(c_91372,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_87931,c_223]) ).
tcf(c_91373,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_87931,c_212]) ).
tcf(c_91374,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_87931,c_206]) ).
tcf(c_91375,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_91374,c_17779,c_12995]) ).
tcf(c_91380,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_91373,c_17779,c_12995]) ).
tcf(c_91385,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_91372,c_88420]) ).
tcf(c_91386,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ( X0 = nil )
| ~ ssList(X0)
| ( tl(X0) != nil )
| ( hd(X0) != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91385,c_17779,c_12995]) ).
tcf(c_91406,plain,
( ( app(sK56,sK56) = iPr_def_10 )
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK56)) != cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_64805,c_83580]) ).
tcf(c_91407,plain,
( ( app(sK56,sK59) = iPr_def_10 )
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK56)) != cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_64806,c_83580]) ).
tcf(c_91408,plain,
( ( app(sK56,sK58) = iPr_def_10 )
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK56)) != cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_64807,c_83580]) ).
tcf(c_91409,plain,
( ( app(sK59,sK56) = iPr_def_10 )
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK56)) != cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_67363,c_83580]) ).
tcf(c_91410,plain,
( ( app(sK59,sK59) = iPr_def_10 )
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK56)) != cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_67364,c_83580]) ).
tcf(c_91411,plain,
( ( app(sK59,sK58) = iPr_def_10 )
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK56)) != cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_67365,c_83580]) ).
tcf(c_91412,plain,
( ( app(sK58,sK56) = iPr_def_10 )
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK56)) != cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_69665,c_83580]) ).
tcf(c_91413,plain,
( ( app(sK58,sK59) = iPr_def_10 )
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK56)) != cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_69666,c_83580]) ).
tcf(c_91414,plain,
( ( app(sK58,sK58) = iPr_def_10 )
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK56)) != cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_69667,c_83580]) ).
tcf(c_91415,plain,
( ( sK12(cons(sK60,sK56),sK56) = iPr_def_10 )
| ~ ssList(sK12(cons(sK60,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_83834,c_83580]) ).
tcf(c_91451,plain,
( ( nil = sK59 )
| ~ ssList(nil)
| ( cons(sK60,sK59) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_18401,c_83911]) ).
tcf(c_91452,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_19626,c_83911]) ).
tcf(c_91454,plain,
( ( sK56 = sK59 )
| ~ ssList(sK56)
| ( cons(sK60,sK56) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_82725,c_83911]) ).
tcf(c_91456,plain,
( ( sK59 = sK58 )
| ~ ssList(sK58)
| ( cons(sK60,sK59) != cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_82727,c_83911]) ).
tcf(c_91457,plain,
( ( sK59 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ( cons(sK60,sK59) != cons(sK60,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_82728,c_83911]) ).
tcf(c_91458,plain,
( ( nil = sK59 )
| ( cons(sK60,sK59) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91451,c_141]) ).
tcf(c_91461,plain,
( ( sK59 = iPr_def_12 )
| ( cons(sK60,sK59) != cons(sK60,iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91457,c_12995]) ).
tcf(c_91475,plain,
( ( iPr_def_10 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ( cons(sK60,sK59) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_18427,c_83915]) ).
tcf(c_91478,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_19638,c_83915]) ).
tcf(c_91480,plain,
( ( app(sK56,sK56) = iPr_def_10 )
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK59)) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_75036,c_83915]) ).
tcf(c_91481,plain,
( ( app(sK56,sK59) = iPr_def_10 )
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK59)) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_75037,c_83915]) ).
tcf(c_91482,plain,
( ( app(sK56,sK58) = iPr_def_10 )
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK59)) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_75038,c_83915]) ).
tcf(c_91483,plain,
( ( app(sK59,sK56) = iPr_def_10 )
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK59)) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_78648,c_83915]) ).
tcf(c_91484,plain,
( ( app(sK59,sK59) = iPr_def_10 )
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK59)) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_78649,c_83915]) ).
tcf(c_91485,plain,
( ( app(sK59,sK58) = iPr_def_10 )
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK59)) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_78650,c_83915]) ).
tcf(c_91486,plain,
( ( sK12(cons(sK60,sK59),sK59) = iPr_def_10 )
| ~ ssList(sK12(cons(sK60,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_84369,c_83915]) ).
tcf(c_91487,plain,
( ( app(sK58,sK56) = iPr_def_10 )
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK59)) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_89127,c_83915]) ).
tcf(c_91488,plain,
( ( app(sK58,sK59) = iPr_def_10 )
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK59)) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_89128,c_83915]) ).
tcf(c_91489,plain,
( ( app(sK58,sK58) = iPr_def_10 )
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK59)) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_89129,c_83915]) ).
tcf(c_91562,plain,
( ( nil = sK58 )
| ~ ssList(nil)
| ( cons(sK60,sK58) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_18401,c_84442]) ).
tcf(c_91563,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_19626,c_84442]) ).
tcf(c_91564,plain,
( ( sK58 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( cons(sK60,sK58) != cons(sK60,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_82730,c_84442]) ).
tcf(c_91565,plain,
( ( sK56 = sK58 )
| ~ ssList(sK56)
| ( cons(sK60,sK56) != cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_82725,c_84442]) ).
tcf(c_91566,plain,
( ( sK59 = sK58 )
| ~ ssList(sK59)
| ( cons(sK60,sK59) != cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_82726,c_84442]) ).
tcf(c_91569,plain,
( ( nil = sK58 )
| ( cons(sK60,sK58) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91562,c_141]) ).
tcf(c_91574,plain,
( ( sK58 = iPr_def_10 )
| ( cons(sK60,sK58) != cons(sK60,iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91564,c_18402]) ).
tcf(c_91589,plain,
( ( sK12(cons(sK60,sK58),sK58) = iPr_def_10 )
| ~ ssList(sK12(cons(sK60,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_84606,c_84446]) ).
tcf(c_91596,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_85625,c_173]) ).
tcf(c_91597,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_85625,c_174]) ).
tcf(c_91598,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_85625,c_63]) ).
tcf(c_91600,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_91598,c_83536]) ).
tcf(c_91603,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_91597,c_83536]) ).
tcf(c_91611,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_86511,c_173]) ).
tcf(c_91612,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_86511,c_174]) ).
tcf(c_91613,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_86511,c_63]) ).
tcf(c_91615,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_91613,c_83868]) ).
tcf(c_91618,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_91612,c_83868]) ).
tcf(c_91626,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_86714,c_173]) ).
tcf(c_91627,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_86714,c_174]) ).
tcf(c_91628,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_86714,c_63]) ).
tcf(c_91630,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_91628,c_84402]) ).
tcf(c_91633,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_91627,c_84402]) ).
tcf(c_91645,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( nil = sK56 )
| ( 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_21584,c_223]) ).
tcf(c_91646,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK59,tl(sK56))))
| ( nil = sK59 )
| ( nil = sK56 )
| ( 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_21584,c_212]) ).
tcf(c_91647,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK59,tl(sK56))))
| ( nil = sK59 )
| ( nil = sK56 )
| ( 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_21584,c_206]) ).
tcf(c_91758,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_87957,c_57]) ).
tcf(c_91761,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_91758,c_18410,c_85067]) ).
tcf(c_91808,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK56),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_83686,c_83584]) ).
tcf(c_91809,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_83584,c_70]) ).
tcf(c_91810,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_83584,c_190]) ).
tcf(c_91811,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_83584,c_191]) ).
tcf(c_91812,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91808,c_141]) ).
tcf(c_91845,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_83590,c_70]) ).
tcf(c_91846,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_83590,c_190]) ).
tcf(c_91847,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_83590,c_191]) ).
tcf(c_91848,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_91846,c_9004]) ).
tcf(c_91854,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_91847,c_9004]) ).
tcf(c_91859,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_91845,c_9004]) ).
tcf(c_91874,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK59),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_84021,c_83919]) ).
tcf(c_91875,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_83919,c_70]) ).
tcf(c_91876,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_83919,c_190]) ).
tcf(c_91877,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_83919,c_191]) ).
tcf(c_91907,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_83925,c_70]) ).
tcf(c_91908,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_83925,c_190]) ).
tcf(c_91909,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_83925,c_191]) ).
tcf(c_91910,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_91908,c_9003]) ).
tcf(c_91916,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_91909,c_9003]) ).
tcf(c_91921,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_91907,c_9003]) ).
tcf(c_91936,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK58),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_84514,c_84450]) ).
tcf(c_91937,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_84450,c_70]) ).
tcf(c_91938,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_84450,c_190]) ).
tcf(c_91939,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_84450,c_191]) ).
tcf(c_91940,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK58),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91936,c_141]) ).
tcf(c_91994,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_84456,c_70]) ).
tcf(c_91995,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_84456,c_190]) ).
tcf(c_91996,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_84456,c_191]) ).
tcf(c_91997,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_91995,c_9000]) ).
tcf(c_92003,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_91996,c_9000]) ).
tcf(c_92008,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_91994,c_9000]) ).
tcf(c_92136,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_23051]) ).
tcf(c_92137,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_23051]) ).
tcf(c_92138,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_23051]) ).
tcf(c_92139,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_23051]) ).
tcf(c_92140,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_23051]) ).
tcf(c_92141,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_23051]) ).
tcf(c_92142,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_23051]) ).
tcf(c_92152,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_23051]) ).
tcf(c_92153,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_23051]) ).
tcf(c_92154,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_23051]) ).
tcf(c_92155,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_23051]) ).
tcf(c_92156,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_23051]) ).
tcf(c_92157,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_23051]) ).
tcf(c_92158,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_23051]) ).
tcf(c_92159,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_23051]) ).
tcf(c_92160,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_23051]) ).
tcf(c_92161,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_23051]) ).
tcf(c_92162,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_23051]) ).
tcf(c_92163,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_23051]) ).
tcf(c_92164,plain,
! [X0: $i] :
( ( app(app(nil,X0),sK58) = app(nil,app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_141,c_23051]) ).
tcf(c_92165,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_23051]) ).
tcf(c_92166,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_23051]) ).
tcf(c_92167,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_23051]) ).
tcf(c_92168,plain,
! [X0: $i] :
( ( app(app(sK56,X0),sK58) = app(sK56,app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9004,c_23051]) ).
tcf(c_92169,plain,
! [X0: $i] :
( ( app(app(sK59,X0),sK58) = app(sK59,app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9003,c_23051]) ).
tcf(c_92170,plain,
! [X0: $i] :
( ( app(app(sK58,X0),sK58) = app(sK58,app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9000,c_23051]) ).
tcf(c_92171,plain,
! [X0: $i] :
( ( app(app(iPr_def_12,X0),sK58) = app(iPr_def_12,app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12995,c_23051]) ).
tcf(c_92172,plain,
! [X0: $i] :
( ( app(app(iPr_def_10,X0),sK58) = app(iPr_def_10,app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_18402,c_23051]) ).
tcf(c_92173,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( app(app(tl(sK56),X0),sK58) = app(tl(sK56),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15456,c_23051]) ).
tcf(c_92174,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( app(app(tl(sK59),X0),sK58) = app(tl(sK59),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15493,c_23051]) ).
tcf(c_92175,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( app(app(tl(sK58),X0),sK58) = app(tl(sK58),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15877,c_23051]) ).
tcf(c_92176,plain,
! [X0: $i] :
( ( app(app(cons(sK60,sK56),X0),sK58) = app(cons(sK60,sK56),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_83536,c_23051]) ).
tcf(c_92177,plain,
! [X0: $i] :
( ( app(app(cons(sK60,sK59),X0),sK58) = app(cons(sK60,sK59),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_83868,c_23051]) ).
tcf(c_92178,plain,
! [X0: $i] :
( ( app(app(cons(sK60,sK58),X0),sK58) = app(cons(sK60,sK58),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_84402,c_23051]) ).
tcf(c_92179,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_85067,c_23051]) ).
tcf(c_92180,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_87053,c_23051]) ).
tcf(c_92181,plain,
! [X0: $i] :
( ( app(app(app(sK56,app(sK56,sK56)),X0),sK58) = app(app(sK56,app(sK56,sK56)),app(X0,sK58)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_23051]) ).
tcf(c_92182,plain,
! [X0: $i] :
( ( app(app(app(sK56,app(sK59,sK56)),X0),sK58) = app(app(sK56,app(sK59,sK56)),app(X0,sK58)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_23051]) ).
tcf(c_92183,plain,
! [X0: $i] :
( ( app(app(app(sK56,app(sK58,sK56)),X0),sK58) = app(app(sK56,app(sK58,sK56)),app(X0,sK58)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_23051]) ).
tcf(c_92184,plain,
! [X0: $i] :
( ( app(app(app(sK59,app(sK56,sK56)),X0),sK58) = app(app(sK59,app(sK56,sK56)),app(X0,sK58)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_23051]) ).
tcf(c_92185,plain,
! [X0: $i] :
( ( app(app(app(sK59,app(sK59,sK56)),X0),sK58) = app(app(sK59,app(sK59,sK56)),app(X0,sK58)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_23051]) ).
tcf(c_92186,plain,
! [X0: $i] :
( ( app(app(app(sK59,app(sK58,sK56)),X0),sK58) = app(app(sK59,app(sK58,sK56)),app(X0,sK58)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_23051]) ).
tcf(c_92187,plain,
! [X0: $i] :
( ( app(app(app(sK58,app(sK56,sK56)),X0),sK58) = app(app(sK58,app(sK56,sK56)),app(X0,sK58)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_23051]) ).
tcf(c_92188,plain,
! [X0: $i] :
( ( app(app(app(sK58,app(sK59,sK56)),X0),sK58) = app(app(sK58,app(sK59,sK56)),app(X0,sK58)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_23051]) ).
tcf(c_92189,plain,
! [X0: $i] :
( ( app(app(app(sK58,app(sK58,sK56)),X0),sK58) = app(app(sK58,app(sK58,sK56)),app(X0,sK58)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_23051]) ).
tcf(c_92190,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_75400,c_23051]) ).
tcf(c_92191,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_75782,c_23051]) ).
tcf(c_92192,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_76382,c_23051]) ).
tcf(c_92193,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_79016,c_23051]) ).
tcf(c_92194,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_80906,c_23051]) ).
tcf(c_92195,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_81446,c_23051]) ).
tcf(c_92196,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_89314,c_23051]) ).
tcf(c_92197,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_89572,c_23051]) ).
tcf(c_92198,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_89830,c_23051]) ).
tcf(c_92657,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_92168]) ).
tcf(c_92658,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_92168]) ).
tcf(c_92659,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_92168]) ).
tcf(c_92660,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_92168]) ).
tcf(c_92661,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_92168]) ).
tcf(c_92662,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_92168]) ).
tcf(c_92663,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_92168]) ).
tcf(c_92673,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_92168]) ).
tcf(c_92674,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_92168]) ).
tcf(c_92675,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_92168]) ).
tcf(c_92676,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_92168]) ).
tcf(c_92677,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_92168]) ).
tcf(c_92678,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_92168]) ).
tcf(c_92679,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_92168]) ).
tcf(c_92680,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_92168]) ).
tcf(c_92681,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_92168]) ).
tcf(c_92682,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_92168]) ).
tcf(c_92683,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_92168]) ).
tcf(c_92684,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_92168]) ).
tcf(c_92685,plain,
app(app(sK56,nil),sK58) = app(sK56,app(nil,sK58)),
inference(superposition,[status(thm)],[c_141,c_92168]) ).
tcf(c_92686,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_92168]) ).
tcf(c_92687,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_92168]) ).
tcf(c_92688,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_92168]) ).
tcf(c_92689,plain,
app(app(sK56,sK56),sK58) = app(sK56,app(sK56,sK58)),
inference(superposition,[status(thm)],[c_9004,c_92168]) ).
tcf(c_92690,plain,
app(app(sK56,sK59),sK58) = app(sK56,app(sK59,sK58)),
inference(superposition,[status(thm)],[c_9003,c_92168]) ).
tcf(c_92691,plain,
app(app(sK56,sK58),sK58) = app(sK56,app(sK58,sK58)),
inference(superposition,[status(thm)],[c_9000,c_92168]) ).
tcf(c_92692,plain,
app(app(sK56,iPr_def_12),sK58) = app(sK56,app(iPr_def_12,sK58)),
inference(superposition,[status(thm)],[c_12995,c_92168]) ).
tcf(c_92693,plain,
app(app(sK56,iPr_def_10),sK58) = app(sK56,app(iPr_def_10,sK58)),
inference(superposition,[status(thm)],[c_18402,c_92168]) ).
tcf(c_92694,plain,
( ( nil = sK56 )
| ( app(app(sK56,tl(sK56)),sK58) = app(sK56,app(tl(sK56),sK58)) ) ),
inference(superposition,[status(thm)],[c_15456,c_92168]) ).
tcf(c_92695,plain,
( ( nil = sK59 )
| ( app(app(sK56,tl(sK59)),sK58) = app(sK56,app(tl(sK59),sK58)) ) ),
inference(superposition,[status(thm)],[c_15493,c_92168]) ).
tcf(c_92696,plain,
( ( nil = sK58 )
| ( app(app(sK56,tl(sK58)),sK58) = app(sK56,app(tl(sK58),sK58)) ) ),
inference(superposition,[status(thm)],[c_15877,c_92168]) ).
tcf(c_92697,plain,
app(app(sK56,cons(sK60,sK56)),sK58) = app(sK56,app(cons(sK60,sK56),sK58)),
inference(superposition,[status(thm)],[c_83536,c_92168]) ).
tcf(c_92698,plain,
app(app(sK56,cons(sK60,sK59)),sK58) = app(sK56,app(cons(sK60,sK59),sK58)),
inference(superposition,[status(thm)],[c_83868,c_92168]) ).
tcf(c_92699,plain,
app(app(sK56,cons(sK60,sK58)),sK58) = app(sK56,app(cons(sK60,sK58),sK58)),
inference(superposition,[status(thm)],[c_84402,c_92168]) ).
tcf(c_92700,plain,
app(app(sK56,cons(sK60,iPr_def_12)),sK58) = app(sK56,app(cons(sK60,iPr_def_12),sK58)),
inference(superposition,[status(thm)],[c_85067,c_92168]) ).
tcf(c_92701,plain,
app(app(sK56,cons(sK60,iPr_def_10)),sK58) = app(sK56,app(cons(sK60,iPr_def_10),sK58)),
inference(superposition,[status(thm)],[c_87053,c_92168]) ).
tcf(c_92702,plain,
( ( app(app(sK56,app(sK56,app(sK56,sK56))),sK58) = app(sK56,app(app(sK56,app(sK56,sK56)),sK58)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_65008,c_92168]) ).
tcf(c_92703,plain,
( ( app(app(sK56,app(sK56,app(sK59,sK56))),sK58) = app(sK56,app(app(sK56,app(sK59,sK56)),sK58)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_65463,c_92168]) ).
tcf(c_92704,plain,
( ( app(app(sK56,app(sK56,app(sK58,sK56))),sK58) = app(sK56,app(app(sK56,app(sK58,sK56)),sK58)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_65967,c_92168]) ).
tcf(c_92705,plain,
( ( app(app(sK56,app(sK59,app(sK56,sK56))),sK58) = app(sK56,app(app(sK59,app(sK56,sK56)),sK58)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_67625,c_92168]) ).
tcf(c_92706,plain,
( ( app(app(sK56,app(sK59,app(sK59,sK56))),sK58) = app(sK56,app(app(sK59,app(sK59,sK56)),sK58)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_68204,c_92168]) ).
tcf(c_92707,plain,
( ( app(app(sK56,app(sK59,app(sK58,sK56))),sK58) = app(sK56,app(app(sK59,app(sK58,sK56)),sK58)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_68505,c_92168]) ).
tcf(c_92708,plain,
( ( app(app(sK56,app(sK58,app(sK56,sK56))),sK58) = app(sK56,app(app(sK58,app(sK56,sK56)),sK58)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_70076,c_92168]) ).
tcf(c_92709,plain,
( ( app(app(sK56,app(sK58,app(sK59,sK56))),sK58) = app(sK56,app(app(sK58,app(sK59,sK56)),sK58)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_70615,c_92168]) ).
tcf(c_92710,plain,
( ( app(app(sK56,app(sK58,app(sK58,sK56))),sK58) = app(sK56,app(app(sK58,app(sK58,sK56)),sK58)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_71819,c_92168]) ).
tcf(c_92711,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_75400,c_92168]) ).
tcf(c_92712,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_75782,c_92168]) ).
tcf(c_92713,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_76382,c_92168]) ).
tcf(c_92714,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_79016,c_92168]) ).
tcf(c_92715,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_80906,c_92168]) ).
tcf(c_92716,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_81446,c_92168]) ).
tcf(c_92717,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_89314,c_92168]) ).
tcf(c_92718,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_89572,c_92168]) ).
tcf(c_92719,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_89830,c_92168]) ).
tcf(c_92720,plain,
app(app(sK56,iPr_def_10),sK58) = app(sK56,cons(sK60,sK58)),
inference(light_normalisation,[status(thm)],[c_92693,c_82727]) ).
tcf(c_92722,plain,
app(app(sK56,cons(sK60,sK58)),sK58) = app(sK56,cons(sK60,app(sK58,sK58))),
inference(light_normalisation,[status(thm)],[c_92699,c_88175]) ).
tcf(c_92723,plain,
app(app(sK56,cons(sK60,sK59)),sK58) = app(sK56,cons(sK60,app(sK59,sK58))),
inference(light_normalisation,[status(thm)],[c_92698,c_88180]) ).
tcf(c_92724,plain,
app(app(sK56,cons(sK60,sK56)),sK58) = app(sK56,cons(sK60,app(sK56,sK58))),
inference(light_normalisation,[status(thm)],[c_92697,c_88193]) ).
fof(f222,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(f223,definition,
! [X0] :
( ~ sP1(X0)
| ( cyclefreeP(X0)
<=> sP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f224,plain,
! [X0] :
( ~ ssList(X0)
| sP1(X0) ),
inference(definition_folding,[],[f105,f223,f222]) ).
fof(f225,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(f226,definition,
! [X0] :
( ~ sP3(X0)
| ( totalorderP(X0)
<=> sP2(X0) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f227,plain,
! [X0] :
( ~ ssList(X0)
| sP3(X0) ),
inference(definition_folding,[],[f107,f226,f225]) ).
fof(f228,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(f229,definition,
! [X0] :
( ~ sP5(X0)
| ( strictorderP(X0)
<=> sP4(X0) ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f230,plain,
! [X0] :
( ~ ssList(X0)
| sP5(X0) ),
inference(definition_folding,[],[f109,f229,f228]) ).
fof(f249,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,[],[f222]) ).
fof(f250,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,[],[f249]) ).
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) ) ) ) ) ) )
& ( ( 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))],[f250]) ).
fof(f253,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,[],[f225]) ).
fof(f254,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,[],[f253]) ).
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) ) ) ) ) ) )
& ( ( 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))],[f254]) ).
fof(f257,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,[],[f228]) ).
fof(f258,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,[],[f257]) ).
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) ) ) ) ) ) )
& ( ( 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))],[f258]) ).
fof(f320,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,[],[f251]) ).
fof(f321,plain,
! [X0] :
( ssItem(sK15(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f251]) ).
fof(f322,plain,
! [X0] :
( ssItem(sK16(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f251]) ).
fof(f323,plain,
! [X0] :
( ssList(sK17(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f251]) ).
fof(f324,plain,
! [X0] :
( ssList(sK18(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f251]) ).
fof(f325,plain,
! [X0] :
( ssList(sK19(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f251]) ).
fof(f326,plain,
! [X0] :
( app(app(sK17(X0),cons(sK15(X0),sK18(X0))),cons(sK16(X0),sK19(X0))) = X0
| sP0(X0) ),
inference(cnf_transformation,[],[f251]) ).
fof(f327,plain,
! [X0] :
( leq(sK16(X0),sK15(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f251]) ).
fof(f328,plain,
! [X0] :
( leq(sK15(X0),sK16(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f251]) ).
fof(f332,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,[],[f255]) ).
fof(f333,plain,
! [X0] :
( ssItem(sK20(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f334,plain,
! [X0] :
( ssItem(sK21(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f335,plain,
! [X0] :
( ssList(sK22(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f336,plain,
! [X0] :
( ssList(sK23(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f337,plain,
! [X0] :
( ssList(sK24(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f338,plain,
! [X0] :
( app(app(sK22(X0),cons(sK20(X0),sK23(X0))),cons(sK21(X0),sK24(X0))) = X0
| sP2(X0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f339,plain,
! [X0] :
( ~ leq(sK21(X0),sK20(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f340,plain,
! [X0] :
( ~ leq(sK20(X0),sK21(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f344,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,[],[f259]) ).
fof(f345,plain,
! [X0] :
( ssItem(sK25(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f346,plain,
! [X0] :
( ssItem(sK26(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f347,plain,
! [X0] :
( ssList(sK27(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f348,plain,
! [X0] :
( ssList(sK28(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f349,plain,
! [X0] :
( ssList(sK29(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f350,plain,
! [X0] :
( app(app(sK27(X0),cons(sK25(X0),sK28(X0))),cons(sK26(X0),sK29(X0))) = X0
| sP4(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f351,plain,
! [X0] :
( ~ lt(sK26(X0),sK25(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f352,plain,
! [X0] :
( ~ lt(sK25(X0),sK26(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f523,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,[],[f320]) ).
fof(f524,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,[],[f332]) ).
fof(f525,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,[],[f344]) ).
tcf(c_73,plain,
! [X0: $i] :
( sP0(X0)
| leq(sK15(X0),sK16(X0)) ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_74,plain,
! [X0: $i] :
( sP0(X0)
| leq(sK16(X0),sK15(X0)) ),
inference(cnf_transformation,[],[f327]) ).
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,[],[f326]) ).
tcf(c_76,plain,
! [X0: $i] :
( sP0(X0)
| ssList(sK19(X0)) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_77,plain,
! [X0: $i] :
( sP0(X0)
| ssList(sK18(X0)) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_78,plain,
! [X0: $i] :
( sP0(X0)
| ssList(sK17(X0)) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_79,plain,
! [X0: $i] :
( sP0(X0)
| ssItem(sK16(X0)) ),
inference(cnf_transformation,[],[f322]) ).
tcf(c_80,plain,
! [X0: $i] :
( sP0(X0)
| ssItem(sK15(X0)) ),
inference(cnf_transformation,[],[f321]) ).
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,[],[f523]) ).
tcf(c_85,plain,
! [X0: $i] :
( sP2(X0)
| ~ leq(sK20(X0),sK21(X0)) ),
inference(cnf_transformation,[],[f340]) ).
tcf(c_86,plain,
! [X0: $i] :
( sP2(X0)
| ~ leq(sK21(X0),sK20(X0)) ),
inference(cnf_transformation,[],[f339]) ).
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,[],[f338]) ).
tcf(c_88,plain,
! [X0: $i] :
( sP2(X0)
| ssList(sK24(X0)) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_89,plain,
! [X0: $i] :
( sP2(X0)
| ssList(sK23(X0)) ),
inference(cnf_transformation,[],[f336]) ).
tcf(c_90,plain,
! [X0: $i] :
( sP2(X0)
| ssList(sK22(X0)) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_91,plain,
! [X0: $i] :
( sP2(X0)
| ssItem(sK21(X0)) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_92,plain,
! [X0: $i] :
( sP2(X0)
| ssItem(sK20(X0)) ),
inference(cnf_transformation,[],[f333]) ).
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,[],[f524]) ).
tcf(c_97,plain,
! [X0: $i] :
( sP4(X0)
| ~ lt(sK25(X0),sK26(X0)) ),
inference(cnf_transformation,[],[f352]) ).
tcf(c_98,plain,
! [X0: $i] :
( sP4(X0)
| ~ lt(sK26(X0),sK25(X0)) ),
inference(cnf_transformation,[],[f351]) ).
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,[],[f350]) ).
tcf(c_100,plain,
! [X0: $i] :
( sP4(X0)
| ssList(sK29(X0)) ),
inference(cnf_transformation,[],[f349]) ).
tcf(c_101,plain,
! [X0: $i] :
( sP4(X0)
| ssList(sK28(X0)) ),
inference(cnf_transformation,[],[f348]) ).
tcf(c_102,plain,
! [X0: $i] :
( sP4(X0)
| ssList(sK27(X0)) ),
inference(cnf_transformation,[],[f347]) ).
tcf(c_103,plain,
! [X0: $i] :
( sP4(X0)
| ssItem(sK26(X0)) ),
inference(cnf_transformation,[],[f346]) ).
tcf(c_104,plain,
! [X0: $i] :
( sP4(X0)
| ssItem(sK25(X0)) ),
inference(cnf_transformation,[],[f345]) ).
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,[],[f525]) ).
tcf(c_12669,plain,
! [X0: $i] :
( sP0(X0)
| ( app(nil,sK19(X0)) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_155]) ).
tcf(c_12670,plain,
! [X0: $i] :
( sP0(X0)
| ( app(nil,sK18(X0)) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_155]) ).
tcf(c_12671,plain,
! [X0: $i] :
( sP0(X0)
| ( app(nil,sK17(X0)) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_155]) ).
tcf(c_12672,plain,
! [X0: $i] :
( sP2(X0)
| ( app(nil,sK24(X0)) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_155]) ).
tcf(c_12673,plain,
! [X0: $i] :
( sP2(X0)
| ( app(nil,sK23(X0)) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_155]) ).
tcf(c_12674,plain,
! [X0: $i] :
( sP2(X0)
| ( app(nil,sK22(X0)) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_155]) ).
tcf(c_12675,plain,
! [X0: $i] :
( sP4(X0)
| ( app(nil,sK29(X0)) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_155]) ).
tcf(c_12676,plain,
! [X0: $i] :
( sP4(X0)
| ( app(nil,sK28(X0)) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_155]) ).
tcf(c_12677,plain,
! [X0: $i] :
( sP4(X0)
| ( app(nil,sK27(X0)) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_155]) ).
tcf(c_12764,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK19(X0),nil) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_232]) ).
tcf(c_12765,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK18(X0),nil) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_232]) ).
tcf(c_12766,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK17(X0),nil) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_232]) ).
tcf(c_12767,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK24(X0),nil) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_232]) ).
tcf(c_12768,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK23(X0),nil) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_232]) ).
tcf(c_12769,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK22(X0),nil) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_232]) ).
tcf(c_12770,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK29(X0),nil) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_232]) ).
tcf(c_12771,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK28(X0),nil) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_232]) ).
tcf(c_12772,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK27(X0),nil) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_232]) ).
tcf(c_13118,plain,
! [X0: $i] :
( sP0(X0)
| duplicatefreeP(sK19(X0))
| ( sK40(sK19(X0)) = sK41(sK19(X0)) ) ),
inference(superposition,[status(thm)],[c_76,c_123]) ).
tcf(c_13119,plain,
! [X0: $i] :
( sP0(X0)
| duplicatefreeP(sK18(X0))
| ( sK40(sK18(X0)) = sK41(sK18(X0)) ) ),
inference(superposition,[status(thm)],[c_77,c_123]) ).
tcf(c_13120,plain,
! [X0: $i] :
( sP0(X0)
| duplicatefreeP(sK17(X0))
| ( sK40(sK17(X0)) = sK41(sK17(X0)) ) ),
inference(superposition,[status(thm)],[c_78,c_123]) ).
tcf(c_13121,plain,
! [X0: $i] :
( sP2(X0)
| duplicatefreeP(sK24(X0))
| ( sK40(sK24(X0)) = sK41(sK24(X0)) ) ),
inference(superposition,[status(thm)],[c_88,c_123]) ).
tcf(c_13122,plain,
! [X0: $i] :
( sP2(X0)
| duplicatefreeP(sK23(X0))
| ( sK40(sK23(X0)) = sK41(sK23(X0)) ) ),
inference(superposition,[status(thm)],[c_89,c_123]) ).
tcf(c_13123,plain,
! [X0: $i] :
( sP2(X0)
| duplicatefreeP(sK22(X0))
| ( sK40(sK22(X0)) = sK41(sK22(X0)) ) ),
inference(superposition,[status(thm)],[c_90,c_123]) ).
tcf(c_13124,plain,
! [X0: $i] :
( sP4(X0)
| duplicatefreeP(sK29(X0))
| ( sK40(sK29(X0)) = sK41(sK29(X0)) ) ),
inference(superposition,[status(thm)],[c_100,c_123]) ).
tcf(c_13125,plain,
! [X0: $i] :
( sP4(X0)
| duplicatefreeP(sK28(X0))
| ( sK40(sK28(X0)) = sK41(sK28(X0)) ) ),
inference(superposition,[status(thm)],[c_101,c_123]) ).
tcf(c_13126,plain,
! [X0: $i] :
( sP4(X0)
| duplicatefreeP(sK27(X0))
| ( sK40(sK27(X0)) = sK41(sK27(X0)) ) ),
inference(superposition,[status(thm)],[c_102,c_123]) ).
tcf(c_13926,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_13927,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_13928,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_13929,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_13930,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_13931,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_14100,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_14101,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_14102,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_14103,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_14104,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_14105,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_14241,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_14242,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_14347,plain,
! [X0: $i] :
( sP0(X0)
| ( sK19(X0) = nil )
| ( hd(sK19(X0)) = sK51(sK19(X0)) ) ),
inference(superposition,[status(thm)],[c_76,c_220]) ).
tcf(c_14348,plain,
! [X0: $i] :
( sP0(X0)
| ( sK18(X0) = nil )
| ( hd(sK18(X0)) = sK51(sK18(X0)) ) ),
inference(superposition,[status(thm)],[c_77,c_220]) ).
tcf(c_14349,plain,
! [X0: $i] :
( sP0(X0)
| ( sK17(X0) = nil )
| ( hd(sK17(X0)) = sK51(sK17(X0)) ) ),
inference(superposition,[status(thm)],[c_78,c_220]) ).
tcf(c_14350,plain,
! [X0: $i] :
( sP2(X0)
| ( sK24(X0) = nil )
| ( hd(sK24(X0)) = sK51(sK24(X0)) ) ),
inference(superposition,[status(thm)],[c_88,c_220]) ).
tcf(c_14351,plain,
! [X0: $i] :
( sP2(X0)
| ( sK23(X0) = nil )
| ( hd(sK23(X0)) = sK51(sK23(X0)) ) ),
inference(superposition,[status(thm)],[c_89,c_220]) ).
tcf(c_14352,plain,
! [X0: $i] :
( sP2(X0)
| ( sK22(X0) = nil )
| ( hd(sK22(X0)) = sK51(sK22(X0)) ) ),
inference(superposition,[status(thm)],[c_90,c_220]) ).
tcf(c_14353,plain,
! [X0: $i] :
( sP4(X0)
| ( sK29(X0) = nil )
| ( hd(sK29(X0)) = sK51(sK29(X0)) ) ),
inference(superposition,[status(thm)],[c_100,c_220]) ).
tcf(c_14354,plain,
! [X0: $i] :
( sP4(X0)
| ( sK28(X0) = nil )
| ( hd(sK28(X0)) = sK51(sK28(X0)) ) ),
inference(superposition,[status(thm)],[c_101,c_220]) ).
tcf(c_14355,plain,
! [X0: $i] :
( sP4(X0)
| ( sK27(X0) = nil )
| ( hd(sK27(X0)) = sK51(sK27(X0)) ) ),
inference(superposition,[status(thm)],[c_102,c_220]) ).
tcf(c_14538,plain,
! [X0: $i] :
( sP0(X0)
| ( sK19(X0) = nil )
| ( tl(sK19(X0)) = sK52(sK19(X0)) ) ),
inference(superposition,[status(thm)],[c_76,c_222]) ).
tcf(c_14539,plain,
! [X0: $i] :
( sP0(X0)
| ( sK18(X0) = nil )
| ( tl(sK18(X0)) = sK52(sK18(X0)) ) ),
inference(superposition,[status(thm)],[c_77,c_222]) ).
tcf(c_14540,plain,
! [X0: $i] :
( sP0(X0)
| ( sK17(X0) = nil )
| ( tl(sK17(X0)) = sK52(sK17(X0)) ) ),
inference(superposition,[status(thm)],[c_78,c_222]) ).
tcf(c_14541,plain,
! [X0: $i] :
( sP2(X0)
| ( sK24(X0) = nil )
| ( tl(sK24(X0)) = sK52(sK24(X0)) ) ),
inference(superposition,[status(thm)],[c_88,c_222]) ).
tcf(c_14542,plain,
! [X0: $i] :
( sP2(X0)
| ( sK23(X0) = nil )
| ( tl(sK23(X0)) = sK52(sK23(X0)) ) ),
inference(superposition,[status(thm)],[c_89,c_222]) ).
tcf(c_14543,plain,
! [X0: $i] :
( sP2(X0)
| ( sK22(X0) = nil )
| ( tl(sK22(X0)) = sK52(sK22(X0)) ) ),
inference(superposition,[status(thm)],[c_90,c_222]) ).
tcf(c_14544,plain,
! [X0: $i] :
( sP4(X0)
| ( sK29(X0) = nil )
| ( tl(sK29(X0)) = sK52(sK29(X0)) ) ),
inference(superposition,[status(thm)],[c_100,c_222]) ).
tcf(c_14545,plain,
! [X0: $i] :
( sP4(X0)
| ( sK28(X0) = nil )
| ( tl(sK28(X0)) = sK52(sK28(X0)) ) ),
inference(superposition,[status(thm)],[c_101,c_222]) ).
tcf(c_14546,plain,
! [X0: $i] :
( sP4(X0)
| ( sK27(X0) = nil )
| ( tl(sK27(X0)) = sK52(sK27(X0)) ) ),
inference(superposition,[status(thm)],[c_102,c_222]) ).
tcf(c_14762,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK57,sK19(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_76,c_13943]) ).
tcf(c_14763,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK57,sK18(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_77,c_13943]) ).
tcf(c_14764,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK57,sK17(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_78,c_13943]) ).
tcf(c_14765,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK57,sK24(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_88,c_13943]) ).
tcf(c_14766,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK57,sK23(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_89,c_13943]) ).
tcf(c_14767,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK57,sK22(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_90,c_13943]) ).
tcf(c_14768,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK57,sK29(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_100,c_13943]) ).
tcf(c_14769,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK57,sK28(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_101,c_13943]) ).
tcf(c_14770,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK57,sK27(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_102,c_13943]) ).
tcf(c_14934,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK57,sK19(X0))) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_14117]) ).
tcf(c_14935,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK57,sK18(X0))) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_14117]) ).
tcf(c_14936,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK57,sK17(X0))) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_14117]) ).
tcf(c_14937,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK57,sK24(X0))) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_14117]) ).
tcf(c_14938,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK57,sK23(X0))) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_14117]) ).
tcf(c_14939,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK57,sK22(X0))) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_14117]) ).
tcf(c_14940,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK57,sK29(X0))) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_14117]) ).
tcf(c_14941,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK57,sK28(X0))) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_14117]) ).
tcf(c_14942,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK57,sK27(X0))) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_14117]) ).
tcf(c_15586,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_15587,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_15588,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_15589,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_15590,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_15591,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_15592,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_15593,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_15594,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_16017,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK19(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_76,c_13944]) ).
tcf(c_16018,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK18(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_77,c_13944]) ).
tcf(c_16019,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK17(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_78,c_13944]) ).
tcf(c_16020,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK24(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_88,c_13944]) ).
tcf(c_16021,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK23(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_89,c_13944]) ).
tcf(c_16022,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK22(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_90,c_13944]) ).
tcf(c_16023,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK29(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_100,c_13944]) ).
tcf(c_16024,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK28(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_101,c_13944]) ).
tcf(c_16025,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK27(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_102,c_13944]) ).
tcf(c_16365,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_16366,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_16367,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_16368,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_16369,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_16370,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_16371,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_16372,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_16373,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_16731,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_16732,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_16733,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_16734,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_16735,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_16736,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_17417,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK19(X0))) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_14118]) ).
tcf(c_17418,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK18(X0))) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_14118]) ).
tcf(c_17419,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK17(X0))) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_14118]) ).
tcf(c_17420,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK24(X0))) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_14118]) ).
tcf(c_17421,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK23(X0))) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_14118]) ).
tcf(c_17422,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK22(X0))) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_14118]) ).
tcf(c_17423,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK29(X0))) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_14118]) ).
tcf(c_17424,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK28(X0))) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_14118]) ).
tcf(c_17425,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK27(X0))) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_14118]) ).
tcf(c_17854,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_17855,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_18493,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_18494,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_19323,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_19324,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_19325,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_19326,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_19327,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_19328,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_19329,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_19330,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_19331,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_19771,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_19772,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_19773,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_19774,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_19775,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_19776,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_19777,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_19778,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_19779,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_20516,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_20517,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_20635,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK19(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_76,c_19348]) ).
tcf(c_20636,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK18(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_77,c_19348]) ).
tcf(c_20637,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK17(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_78,c_19348]) ).
tcf(c_20638,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK24(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_88,c_19348]) ).
tcf(c_20639,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK23(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_89,c_19348]) ).
tcf(c_20640,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK22(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_90,c_19348]) ).
tcf(c_20641,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK29(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_100,c_19348]) ).
tcf(c_20642,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK28(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_101,c_19348]) ).
tcf(c_20643,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK27(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_102,c_19348]) ).
tcf(c_21553,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK19(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_76,c_19349]) ).
tcf(c_21554,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK18(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_77,c_19349]) ).
tcf(c_21555,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK17(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_78,c_19349]) ).
tcf(c_21556,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK24(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_88,c_19349]) ).
tcf(c_21557,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK23(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_89,c_19349]) ).
tcf(c_21558,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK22(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_90,c_19349]) ).
tcf(c_21559,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK29(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_100,c_19349]) ).
tcf(c_21560,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK28(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_101,c_19349]) ).
tcf(c_21561,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK27(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_102,c_19349]) ).
tcf(c_21799,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_21800,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_21801,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_21802,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_21803,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_21804,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_21805,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_21806,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_21807,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_22181,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_22182,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_22427,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK19(X0))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_76,c_19350]) ).
tcf(c_22428,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK18(X0))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_77,c_19350]) ).
tcf(c_22429,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK17(X0))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_78,c_19350]) ).
tcf(c_22430,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK24(X0))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_88,c_19350]) ).
tcf(c_22431,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK23(X0))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_89,c_19350]) ).
tcf(c_22432,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK22(X0))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_90,c_19350]) ).
tcf(c_22433,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK29(X0))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_100,c_19350]) ).
tcf(c_22434,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK28(X0))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_101,c_19350]) ).
tcf(c_22435,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK27(X0))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_102,c_19350]) ).
tcf(c_22688,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_22689,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_22690,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_22691,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_22692,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_22693,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_23024,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_23025,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_23026,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_23027,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_23028,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_23029,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_23030,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_23031,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_23032,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_23793,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_23794,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_23795,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_23796,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_23797,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_23798,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_23799,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_23800,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_23801,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_24079,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_24080,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_24081,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_24082,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_24083,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_24084,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_24085,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_24086,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_24087,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_24344,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_24345,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_24346,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_24347,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_24348,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_24349,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_24350,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_24351,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_24352,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_28091,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_28092,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_23497,c_93]) ).
tcf(c_28093,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_23496,c_93]) ).
tcf(c_28094,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_23495,c_93]) ).
tcf(c_28095,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_23493,c_93]) ).
tcf(c_28096,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_8987,c_93]) ).
tcf(c_28097,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_8986,c_93]) ).
tcf(c_28098,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_15611,c_93]) ).
tcf(c_28099,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_15612,c_93]) ).
tcf(c_28100,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_15613,c_93]) ).
tcf(c_28101,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_16390,c_93]) ).
tcf(c_28102,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_16391,c_93]) ).
tcf(c_28103,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_16392,c_93]) ).
tcf(c_28104,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_17164,c_93]) ).
tcf(c_28105,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_8987,c_93]) ).
tcf(c_28106,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_8986,c_93]) ).
tcf(c_28107,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_15611,c_93]) ).
tcf(c_28108,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_15612,c_93]) ).
tcf(c_28109,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_15613,c_93]) ).
tcf(c_28110,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_16390,c_93]) ).
tcf(c_28111,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_16391,c_93]) ).
tcf(c_28112,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_16392,c_93]) ).
tcf(c_28113,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_17164,c_93]) ).
tcf(c_28114,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_28106,c_141,c_18410]) ).
tcf(c_28121,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_28105,c_141,c_8999]) ).
tcf(c_28128,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_28097,c_141,c_18410]) ).
tcf(c_28135,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_28096,c_141,c_8999]) ).
tcf(c_28142,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_28095,c_8999]) ).
tcf(c_28150,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_28094,c_8999]) ).
tcf(c_28158,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_28093,c_8999]) ).
tcf(c_28166,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_28092,c_18410]) ).
tcf(c_28174,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_28113,c_141]) ).
tcf(c_28182,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_28104,c_141]) ).
tcf(c_28340,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_15620,c_93]) ).
tcf(c_28342,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_15620,c_93]) ).
tcf(c_29102,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_29103,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_23497,c_105]) ).
tcf(c_29104,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_23496,c_105]) ).
tcf(c_29105,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_23495,c_105]) ).
tcf(c_29106,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_23493,c_105]) ).
tcf(c_29107,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_8987,c_105]) ).
tcf(c_29108,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_8986,c_105]) ).
tcf(c_29109,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_15611,c_105]) ).
tcf(c_29110,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_15612,c_105]) ).
tcf(c_29111,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_15613,c_105]) ).
tcf(c_29112,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_15620,c_105]) ).
tcf(c_29113,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_16390,c_105]) ).
tcf(c_29114,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_16391,c_105]) ).
tcf(c_29115,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_16392,c_105]) ).
tcf(c_29116,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_17164,c_105]) ).
tcf(c_29117,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_8987,c_105]) ).
tcf(c_29118,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_8986,c_105]) ).
tcf(c_29119,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_15611,c_105]) ).
tcf(c_29120,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_15612,c_105]) ).
tcf(c_29121,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_15613,c_105]) ).
tcf(c_29122,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_15620,c_105]) ).
tcf(c_29123,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_16390,c_105]) ).
tcf(c_29124,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_16391,c_105]) ).
tcf(c_29125,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_16392,c_105]) ).
tcf(c_29126,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_17164,c_105]) ).
tcf(c_29127,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_29118,c_141,c_18410]) ).
tcf(c_29134,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_29117,c_141,c_8999]) ).
tcf(c_29141,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_29108,c_141,c_18410]) ).
tcf(c_29148,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_29107,c_141,c_8999]) ).
tcf(c_29155,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_29106,c_8999]) ).
tcf(c_29163,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_29105,c_8999]) ).
tcf(c_29171,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_29104,c_8999]) ).
tcf(c_29179,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_29103,c_18410]) ).
tcf(c_29187,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_29126,c_141]) ).
tcf(c_29195,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_29116,c_141]) ).
tcf(c_29650,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_29651,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_12671,c_81]) ).
tcf(c_29652,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_12670,c_81]) ).
tcf(c_29653,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_12669,c_81]) ).
tcf(c_29654,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_23497,c_81]) ).
tcf(c_29655,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_23496,c_81]) ).
tcf(c_29656,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_23495,c_81]) ).
tcf(c_29657,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_23493,c_81]) ).
tcf(c_29658,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_8987,c_81]) ).
tcf(c_29659,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_8986,c_81]) ).
tcf(c_29660,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_15611,c_81]) ).
tcf(c_29661,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_15612,c_81]) ).
tcf(c_29662,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_15613,c_81]) ).
tcf(c_29663,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_15620,c_81]) ).
tcf(c_29664,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_16390,c_81]) ).
tcf(c_29665,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_16391,c_81]) ).
tcf(c_29666,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_16392,c_81]) ).
tcf(c_29667,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_17164,c_81]) ).
tcf(c_29668,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_8987,c_81]) ).
tcf(c_29669,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_8986,c_81]) ).
tcf(c_29670,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_15611,c_81]) ).
tcf(c_29671,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_15612,c_81]) ).
tcf(c_29672,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_15613,c_81]) ).
tcf(c_29673,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_15620,c_81]) ).
tcf(c_29674,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_16390,c_81]) ).
tcf(c_29675,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_16391,c_81]) ).
tcf(c_29676,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_16392,c_81]) ).
tcf(c_29677,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_17164,c_81]) ).
tcf(c_29678,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_29669,c_141,c_18410]) ).
tcf(c_29685,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_29668,c_141,c_8999]) ).
tcf(c_29692,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_29659,c_141,c_18410]) ).
tcf(c_29699,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_29658,c_141,c_8999]) ).
tcf(c_29706,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_29657,c_8999]) ).
tcf(c_29714,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_29656,c_8999]) ).
tcf(c_29722,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_29655,c_8999]) ).
tcf(c_29730,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_29654,c_18410]) ).
tcf(c_29738,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_29677,c_141]) ).
tcf(c_29746,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_29667,c_141]) ).
tcf(c_34662,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_12672,c_93]) ).
tcf(c_35085,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_12673,c_93]) ).
tcf(c_35098,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_12674,c_93]) ).
tcf(c_35163,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_12675,c_105]) ).
tcf(c_35177,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_12676,c_105]) ).
tcf(c_35367,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK19(X0)) = tl(app(sK56,sK19(X0))) ) ),
inference(superposition,[status(thm)],[c_76,c_21824]) ).
tcf(c_35368,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK18(X0)) = tl(app(sK56,sK18(X0))) ) ),
inference(superposition,[status(thm)],[c_77,c_21824]) ).
tcf(c_35369,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK17(X0)) = tl(app(sK56,sK17(X0))) ) ),
inference(superposition,[status(thm)],[c_78,c_21824]) ).
tcf(c_35370,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK24(X0)) = tl(app(sK56,sK24(X0))) ) ),
inference(superposition,[status(thm)],[c_88,c_21824]) ).
tcf(c_35371,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK23(X0)) = tl(app(sK56,sK23(X0))) ) ),
inference(superposition,[status(thm)],[c_89,c_21824]) ).
tcf(c_35372,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK22(X0)) = tl(app(sK56,sK22(X0))) ) ),
inference(superposition,[status(thm)],[c_90,c_21824]) ).
tcf(c_35373,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK29(X0)) = tl(app(sK56,sK29(X0))) ) ),
inference(superposition,[status(thm)],[c_100,c_21824]) ).
tcf(c_35374,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK28(X0)) = tl(app(sK56,sK28(X0))) ) ),
inference(superposition,[status(thm)],[c_101,c_21824]) ).
tcf(c_35375,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK27(X0)) = tl(app(sK56,sK27(X0))) ) ),
inference(superposition,[status(thm)],[c_102,c_21824]) ).
tcf(c_35918,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_35913,c_81]) ).
tcf(c_35919,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_35913,c_105]) ).
tcf(c_35920,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_35913,c_93]) ).
tcf(c_35924,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_35913,c_81]) ).
tcf(c_35925,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_35913,c_105]) ).
tcf(c_35926,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_35913,c_93]) ).
tcf(c_36238,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_12677,c_105]) ).
tcf(c_36252,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_12764,c_81]) ).
tcf(c_36266,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_12765,c_81]) ).
tcf(c_36280,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_12766,c_81]) ).
tcf(c_36294,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_12767,c_93]) ).
tcf(c_36307,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_12768,c_93]) ).
tcf(c_36320,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_12769,c_93]) ).
tcf(c_36333,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_12770,c_105]) ).
tcf(c_36356,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK19(X0)) = tl(app(sK59,sK19(X0))) ) ),
inference(superposition,[status(thm)],[c_76,c_21825]) ).
tcf(c_36357,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK18(X0)) = tl(app(sK59,sK18(X0))) ) ),
inference(superposition,[status(thm)],[c_77,c_21825]) ).
tcf(c_36358,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK17(X0)) = tl(app(sK59,sK17(X0))) ) ),
inference(superposition,[status(thm)],[c_78,c_21825]) ).
tcf(c_36359,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK24(X0)) = tl(app(sK59,sK24(X0))) ) ),
inference(superposition,[status(thm)],[c_88,c_21825]) ).
tcf(c_36360,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK23(X0)) = tl(app(sK59,sK23(X0))) ) ),
inference(superposition,[status(thm)],[c_89,c_21825]) ).
tcf(c_36361,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK22(X0)) = tl(app(sK59,sK22(X0))) ) ),
inference(superposition,[status(thm)],[c_90,c_21825]) ).
tcf(c_36362,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK29(X0)) = tl(app(sK59,sK29(X0))) ) ),
inference(superposition,[status(thm)],[c_100,c_21825]) ).
tcf(c_36363,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK28(X0)) = tl(app(sK59,sK28(X0))) ) ),
inference(superposition,[status(thm)],[c_101,c_21825]) ).
tcf(c_36364,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK27(X0)) = tl(app(sK59,sK27(X0))) ) ),
inference(superposition,[status(thm)],[c_102,c_21825]) ).
tcf(c_36643,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK19(X0)) = tl(app(sK58,sK19(X0))) ) ),
inference(superposition,[status(thm)],[c_76,c_21826]) ).
tcf(c_36644,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK18(X0)) = tl(app(sK58,sK18(X0))) ) ),
inference(superposition,[status(thm)],[c_77,c_21826]) ).
tcf(c_36645,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK17(X0)) = tl(app(sK58,sK17(X0))) ) ),
inference(superposition,[status(thm)],[c_78,c_21826]) ).
tcf(c_36646,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK24(X0)) = tl(app(sK58,sK24(X0))) ) ),
inference(superposition,[status(thm)],[c_88,c_21826]) ).
tcf(c_36647,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK23(X0)) = tl(app(sK58,sK23(X0))) ) ),
inference(superposition,[status(thm)],[c_89,c_21826]) ).
tcf(c_36648,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK22(X0)) = tl(app(sK58,sK22(X0))) ) ),
inference(superposition,[status(thm)],[c_90,c_21826]) ).
tcf(c_36649,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK29(X0)) = tl(app(sK58,sK29(X0))) ) ),
inference(superposition,[status(thm)],[c_100,c_21826]) ).
tcf(c_36650,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK28(X0)) = tl(app(sK58,sK28(X0))) ) ),
inference(superposition,[status(thm)],[c_101,c_21826]) ).
tcf(c_36651,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK27(X0)) = tl(app(sK58,sK27(X0))) ) ),
inference(superposition,[status(thm)],[c_102,c_21826]) ).
tcf(c_36977,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_36971,c_81]) ).
tcf(c_36978,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_36971,c_105]) ).
tcf(c_36979,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_36971,c_93]) ).
tcf(c_36983,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_36971,c_81]) ).
tcf(c_36984,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_36971,c_105]) ).
tcf(c_36985,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_36971,c_93]) ).
tcf(c_37341,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_12771,c_105]) ).
tcf(c_37355,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_12772,c_105]) ).
tcf(c_37510,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_22705]) ).
tcf(c_37511,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_22705]) ).
tcf(c_37512,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_22705]) ).
tcf(c_37513,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_22705]) ).
tcf(c_37514,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_22705]) ).
tcf(c_37515,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_22705]) ).
tcf(c_37516,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_22705]) ).
tcf(c_37517,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_22705]) ).
tcf(c_37518,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_22705]) ).
tcf(c_38016,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK19(X0),sK56)) = app(cons(sK57,sK19(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_76,c_37535]) ).
tcf(c_38017,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK18(X0),sK56)) = app(cons(sK57,sK18(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_77,c_37535]) ).
tcf(c_38018,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK17(X0),sK56)) = app(cons(sK57,sK17(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_78,c_37535]) ).
tcf(c_38019,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK24(X0),sK56)) = app(cons(sK57,sK24(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_88,c_37535]) ).
tcf(c_38020,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK23(X0),sK56)) = app(cons(sK57,sK23(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_89,c_37535]) ).
tcf(c_38021,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK22(X0),sK56)) = app(cons(sK57,sK22(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_90,c_37535]) ).
tcf(c_38022,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK29(X0),sK56)) = app(cons(sK57,sK29(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_100,c_37535]) ).
tcf(c_38023,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK28(X0),sK56)) = app(cons(sK57,sK28(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_101,c_37535]) ).
tcf(c_38024,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK27(X0),sK56)) = app(cons(sK57,sK27(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_102,c_37535]) ).
tcf(c_39736,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK6,sK19(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_76,c_13923]) ).
tcf(c_39737,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK6,sK18(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_77,c_13923]) ).
tcf(c_39738,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK6,sK17(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_78,c_13923]) ).
tcf(c_39739,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK6,sK24(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_88,c_13923]) ).
tcf(c_39740,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK6,sK23(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_89,c_13923]) ).
tcf(c_39741,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK6,sK22(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_90,c_13923]) ).
tcf(c_39742,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK6,sK29(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_100,c_13923]) ).
tcf(c_39743,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK6,sK28(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_101,c_13923]) ).
tcf(c_39744,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK6,sK27(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_102,c_13923]) ).
tcf(c_40394,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_15619,c_81]) ).
tcf(c_40395,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_15619,c_105]) ).
tcf(c_40396,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_15619,c_93]) ).
tcf(c_40400,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_15619,c_81]) ).
tcf(c_40401,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_15619,c_105]) ).
tcf(c_40402,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_15619,c_93]) ).
tcf(c_40884,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK7,sK19(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_76,c_13924]) ).
tcf(c_40885,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK7,sK18(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_77,c_13924]) ).
tcf(c_40886,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK7,sK17(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_78,c_13924]) ).
tcf(c_40887,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK7,sK24(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_88,c_13924]) ).
tcf(c_40888,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK7,sK23(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_89,c_13924]) ).
tcf(c_40889,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK7,sK22(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_90,c_13924]) ).
tcf(c_40890,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK7,sK29(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_100,c_13924]) ).
tcf(c_40891,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK7,sK28(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_101,c_13924]) ).
tcf(c_40892,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK7,sK27(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_102,c_13924]) ).
tcf(c_41627,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK19(X0),sK59)) = app(cons(sK57,sK19(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_76,c_37536]) ).
tcf(c_41628,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK18(X0),sK59)) = app(cons(sK57,sK18(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_77,c_37536]) ).
tcf(c_41629,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK17(X0),sK59)) = app(cons(sK57,sK17(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_78,c_37536]) ).
tcf(c_41630,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK24(X0),sK59)) = app(cons(sK57,sK24(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_88,c_37536]) ).
tcf(c_41631,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK23(X0),sK59)) = app(cons(sK57,sK23(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_89,c_37536]) ).
tcf(c_41632,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK22(X0),sK59)) = app(cons(sK57,sK22(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_90,c_37536]) ).
tcf(c_41633,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK29(X0),sK59)) = app(cons(sK57,sK29(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_100,c_37536]) ).
tcf(c_41634,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK28(X0),sK59)) = app(cons(sK57,sK28(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_101,c_37536]) ).
tcf(c_41635,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK27(X0),sK59)) = app(cons(sK57,sK27(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_102,c_37536]) ).
tcf(c_42147,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_15837,c_81]) ).
tcf(c_42148,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_15837,c_105]) ).
tcf(c_42149,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_15837,c_93]) ).
tcf(c_42153,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_15837,c_81]) ).
tcf(c_42154,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_15837,c_105]) ).
tcf(c_42155,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_15837,c_93]) ).
tcf(c_43687,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK6,sK19(X0))) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_14097]) ).
tcf(c_43688,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK6,sK18(X0))) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_14097]) ).
tcf(c_43689,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK6,sK17(X0))) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_14097]) ).
tcf(c_43690,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK6,sK24(X0))) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_14097]) ).
tcf(c_43691,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK6,sK23(X0))) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_14097]) ).
tcf(c_43692,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK6,sK22(X0))) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_14097]) ).
tcf(c_43693,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK6,sK29(X0))) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_14097]) ).
tcf(c_43694,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK6,sK28(X0))) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_14097]) ).
tcf(c_43695,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK6,sK27(X0))) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_14097]) ).
tcf(c_44417,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK7,sK19(X0))) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_14098]) ).
tcf(c_44418,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK7,sK18(X0))) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_14098]) ).
tcf(c_44419,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK7,sK17(X0))) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_14098]) ).
tcf(c_44420,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK7,sK24(X0))) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_14098]) ).
tcf(c_44421,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK7,sK23(X0))) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_14098]) ).
tcf(c_44422,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK7,sK22(X0))) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_14098]) ).
tcf(c_44423,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK7,sK29(X0))) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_14098]) ).
tcf(c_44424,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK7,sK28(X0))) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_14098]) ).
tcf(c_44425,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK7,sK27(X0))) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_14098]) ).
tcf(c_45107,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_14762,c_81]) ).
tcf(c_45121,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_14763,c_81]) ).
tcf(c_45135,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_14764,c_81]) ).
tcf(c_45149,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_14765,c_93]) ).
tcf(c_45220,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK19(X0),sK58)) = app(cons(sK57,sK19(X0)),sK58) ) ),
inference(superposition,[status(thm)],[c_76,c_37537]) ).
tcf(c_45221,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK18(X0),sK58)) = app(cons(sK57,sK18(X0)),sK58) ) ),
inference(superposition,[status(thm)],[c_77,c_37537]) ).
tcf(c_45222,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK17(X0),sK58)) = app(cons(sK57,sK17(X0)),sK58) ) ),
inference(superposition,[status(thm)],[c_78,c_37537]) ).
tcf(c_45223,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK24(X0),sK58)) = app(cons(sK57,sK24(X0)),sK58) ) ),
inference(superposition,[status(thm)],[c_88,c_37537]) ).
tcf(c_45224,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK23(X0),sK58)) = app(cons(sK57,sK23(X0)),sK58) ) ),
inference(superposition,[status(thm)],[c_89,c_37537]) ).
tcf(c_45225,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK22(X0),sK58)) = app(cons(sK57,sK22(X0)),sK58) ) ),
inference(superposition,[status(thm)],[c_90,c_37537]) ).
tcf(c_45226,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK29(X0),sK58)) = app(cons(sK57,sK29(X0)),sK58) ) ),
inference(superposition,[status(thm)],[c_100,c_37537]) ).
tcf(c_45227,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK28(X0),sK58)) = app(cons(sK57,sK28(X0)),sK58) ) ),
inference(superposition,[status(thm)],[c_101,c_37537]) ).
tcf(c_45228,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK27(X0),sK58)) = app(cons(sK57,sK27(X0)),sK58) ) ),
inference(superposition,[status(thm)],[c_102,c_37537]) ).
tcf(c_47962,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_14766,c_93]) ).
tcf(c_47975,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_14767,c_93]) ).
tcf(c_47988,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_14768,c_105]) ).
tcf(c_48502,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_15887,c_81]) ).
tcf(c_48503,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_15887,c_105]) ).
tcf(c_48504,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_15887,c_93]) ).
tcf(c_48508,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_15887,c_81]) ).
tcf(c_48509,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_15887,c_105]) ).
tcf(c_48510,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_15887,c_93]) ).
tcf(c_48875,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_14769,c_105]) ).
tcf(c_48937,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_14770,c_105]) ).
tcf(c_48953,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_48947,c_81]) ).
tcf(c_48954,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_48947,c_105]) ).
tcf(c_48955,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_48947,c_93]) ).
tcf(c_48964,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_48947,c_81]) ).
tcf(c_48965,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_48947,c_105]) ).
tcf(c_48966,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_48947,c_93]) ).
tcf(c_49071,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_48966,c_141]) ).
tcf(c_49079,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_48965,c_141]) ).
tcf(c_49087,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_48955,c_141]) ).
tcf(c_49095,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_48954,c_141]) ).
tcf(c_49111,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_48964,c_141]) ).
tcf(c_49119,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_48953,c_141]) ).
tcf(c_50525,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK60,sK19(X0))) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_19067]) ).
tcf(c_50526,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK60,sK18(X0))) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_19067]) ).
tcf(c_50527,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK60,sK17(X0))) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_19067]) ).
tcf(c_50528,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK60,sK24(X0))) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_19067]) ).
tcf(c_50529,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK60,sK23(X0))) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_19067]) ).
tcf(c_50530,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK60,sK22(X0))) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_19067]) ).
tcf(c_50531,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK60,sK29(X0))) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_19067]) ).
tcf(c_50532,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK60,sK28(X0))) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_19067]) ).
tcf(c_50533,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK60,sK27(X0))) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_19067]) ).
tcf(c_51080,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK60,sK19(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_76,c_19068]) ).
tcf(c_51081,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK60,sK18(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_77,c_19068]) ).
tcf(c_51082,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK60,sK17(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_78,c_19068]) ).
tcf(c_51083,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK60,sK24(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_88,c_19068]) ).
tcf(c_51084,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK60,sK23(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_89,c_19068]) ).
tcf(c_51085,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK60,sK22(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_90,c_19068]) ).
tcf(c_51086,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK60,sK29(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_100,c_19068]) ).
tcf(c_51087,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK60,sK28(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_101,c_19068]) ).
tcf(c_51088,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK60,sK27(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_102,c_19068]) ).
tcf(c_51978,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(app(iPr_def_11,sK19(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_76,c_19361]) ).
tcf(c_51979,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(app(iPr_def_11,sK18(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_77,c_19361]) ).
tcf(c_51980,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(app(iPr_def_11,sK17(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_78,c_19361]) ).
tcf(c_51981,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(app(iPr_def_11,sK24(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_88,c_19361]) ).
tcf(c_51982,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(app(iPr_def_11,sK23(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_89,c_19361]) ).
tcf(c_51983,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(app(iPr_def_11,sK22(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_90,c_19361]) ).
tcf(c_51984,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(app(iPr_def_11,sK29(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_100,c_19361]) ).
tcf(c_51985,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(app(iPr_def_11,sK28(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_101,c_19361]) ).
tcf(c_51986,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(app(iPr_def_11,sK27(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_102,c_19361]) ).
tcf(c_57381,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_39056,c_81]) ).
tcf(c_57382,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_39056,c_105]) ).
tcf(c_57383,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_39056,c_93]) ).
tcf(c_57430,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_57383,c_9004,c_141,c_8999]) ).
tcf(c_57436,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_57382,c_9004,c_141,c_8999]) ).
tcf(c_57442,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_57381,c_9004,c_141,c_8999]) ).
tcf(c_58149,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_58143,c_81]) ).
tcf(c_58150,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_58143,c_105]) ).
tcf(c_58151,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_58143,c_93]) ).
tcf(c_58155,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_58143,c_81]) ).
tcf(c_58156,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_58143,c_105]) ).
tcf(c_58157,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_58143,c_93]) ).
tcf(c_58269,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_58157,c_19130,c_25870]) ).
tcf(c_58276,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_58156,c_19130,c_25870]) ).
tcf(c_58283,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_58151,c_19130,c_25870]) ).
tcf(c_58290,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_58150,c_19130,c_25870]) ).
tcf(c_58297,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_58155,c_19130,c_25870]) ).
tcf(c_58304,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_58149,c_19130,c_25870]) ).
tcf(c_58690,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_39736,c_81]) ).
tcf(c_58704,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_39737,c_81]) ).
tcf(c_58718,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_39738,c_81]) ).
tcf(c_58732,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_39739,c_93]) ).
tcf(c_58961,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_39740,c_93]) ).
tcf(c_58974,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_39741,c_93]) ).
tcf(c_58987,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_39742,c_105]) ).
tcf(c_59001,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_39743,c_105]) ).
tcf(c_59390,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_16398,c_81]) ).
tcf(c_59391,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_16398,c_105]) ).
tcf(c_59392,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_16398,c_93]) ).
tcf(c_59396,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_16398,c_81]) ).
tcf(c_59397,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_16398,c_105]) ).
tcf(c_59398,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_16398,c_93]) ).
tcf(c_59907,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_39744,c_105]) ).
tcf(c_59953,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_40884,c_81]) ).
tcf(c_59967,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_40885,c_81]) ).
tcf(c_59993,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_40886,c_81]) ).
tcf(c_60288,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_16399,c_81]) ).
tcf(c_60289,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_16399,c_105]) ).
tcf(c_60290,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_16399,c_93]) ).
tcf(c_60294,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_16399,c_81]) ).
tcf(c_60295,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_16399,c_105]) ).
tcf(c_60296,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_16399,c_93]) ).
tcf(c_61147,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_40887,c_93]) ).
tcf(c_61160,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_40888,c_93]) ).
tcf(c_61173,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_40889,c_93]) ).
tcf(c_61186,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_40890,c_105]) ).
tcf(c_61200,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_40891,c_105]) ).
tcf(c_61214,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_40892,c_105]) ).
tcf(c_61713,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_16400,c_81]) ).
tcf(c_61714,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_16400,c_105]) ).
tcf(c_61715,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_16400,c_93]) ).
tcf(c_61719,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_16400,c_81]) ).
tcf(c_61720,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_16400,c_105]) ).
tcf(c_61721,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_16400,c_93]) ).
tcf(c_62808,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_42783,c_81]) ).
tcf(c_62809,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_42783,c_105]) ).
tcf(c_62810,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_42783,c_93]) ).
tcf(c_62857,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_62810,c_9003,c_141,c_8999]) ).
tcf(c_62863,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_62809,c_9003,c_141,c_8999]) ).
tcf(c_62869,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_62808,c_9003,c_141,c_8999]) ).
tcf(c_63508,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_46065,c_81]) ).
tcf(c_63509,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_46065,c_105]) ).
tcf(c_63510,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_46065,c_93]) ).
tcf(c_63557,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_63510,c_9000,c_141,c_8999]) ).
tcf(c_63563,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_63509,c_9000,c_141,c_8999]) ).
tcf(c_63569,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_63508,c_9000,c_141,c_8999]) ).
tcf(c_63933,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_51080,c_81]) ).
tcf(c_63986,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_51081,c_81]) ).
tcf(c_64000,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_51082,c_81]) ).
tcf(c_64227,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_23049]) ).
tcf(c_64228,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_23049]) ).
tcf(c_64229,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_23049]) ).
tcf(c_64230,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_23049]) ).
tcf(c_64231,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_23049]) ).
tcf(c_64232,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_23049]) ).
tcf(c_64233,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_23049]) ).
tcf(c_64234,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_23049]) ).
tcf(c_64235,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_23049]) ).
tcf(c_64780,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK56,sK19(X0)),sK56) = app(sK56,app(sK19(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_76,c_64252]) ).
tcf(c_64781,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK56,sK18(X0)),sK56) = app(sK56,app(sK18(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_77,c_64252]) ).
tcf(c_64782,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK56,sK17(X0)),sK56) = app(sK56,app(sK17(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_78,c_64252]) ).
tcf(c_64783,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK56,sK24(X0)),sK56) = app(sK56,app(sK24(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_88,c_64252]) ).
tcf(c_64784,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK56,sK23(X0)),sK56) = app(sK56,app(sK23(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_89,c_64252]) ).
tcf(c_64785,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK56,sK22(X0)),sK56) = app(sK56,app(sK22(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_90,c_64252]) ).
tcf(c_64786,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK56,sK29(X0)),sK56) = app(sK56,app(sK29(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_100,c_64252]) ).
tcf(c_64787,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK56,sK28(X0)),sK56) = app(sK56,app(sK28(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_101,c_64252]) ).
tcf(c_64788,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK56,sK27(X0)),sK56) = app(sK56,app(sK27(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_102,c_64252]) ).
tcf(c_65313,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_51083,c_93]) ).
tcf(c_65326,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_51084,c_93]) ).
tcf(c_65339,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_51085,c_93]) ).
tcf(c_65352,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_51086,c_105]) ).
tcf(c_65366,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_51087,c_105]) ).
tcf(c_65380,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_51088,c_105]) ).
tcf(c_65419,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_51978,c_81]) ).
tcf(c_65433,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_51979,c_81]) ).
tcf(c_66633,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_51980,c_81]) ).
tcf(c_66647,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_51981,c_93]) ).
tcf(c_66660,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_51982,c_93]) ).
tcf(c_66673,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_51983,c_93]) ).
tcf(c_66686,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_51984,c_105]) ).
tcf(c_66700,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_51985,c_105]) ).
tcf(c_66714,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_51986,c_105]) ).
tcf(c_66948,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_61364,c_81]) ).
tcf(c_66949,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_61364,c_105]) ).
tcf(c_66950,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_61364,c_93]) ).
tcf(c_66997,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_66950,c_18402,c_141,c_8999]) ).
tcf(c_67003,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_66949,c_18402,c_141,c_8999]) ).
tcf(c_67009,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_66948,c_18402,c_141,c_8999]) ).
tcf(c_67338,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK59,sK19(X0)),sK56) = app(sK59,app(sK19(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_76,c_64253]) ).
tcf(c_67339,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK59,sK18(X0)),sK56) = app(sK59,app(sK18(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_77,c_64253]) ).
tcf(c_67340,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK59,sK17(X0)),sK56) = app(sK59,app(sK17(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_78,c_64253]) ).
tcf(c_67341,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK59,sK24(X0)),sK56) = app(sK59,app(sK24(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_88,c_64253]) ).
tcf(c_67342,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK59,sK23(X0)),sK56) = app(sK59,app(sK23(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_89,c_64253]) ).
tcf(c_67343,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK59,sK22(X0)),sK56) = app(sK59,app(sK22(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_90,c_64253]) ).
tcf(c_67344,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK59,sK29(X0)),sK56) = app(sK59,app(sK29(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_100,c_64253]) ).
tcf(c_67345,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK59,sK28(X0)),sK56) = app(sK59,app(sK28(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_101,c_64253]) ).
tcf(c_67346,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK59,sK27(X0)),sK56) = app(sK59,app(sK27(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_102,c_64253]) ).
tcf(c_68838,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_14934,c_81]) ).
tcf(c_68852,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_14935,c_81]) ).
tcf(c_69307,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_14936,c_81]) ).
tcf(c_69321,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_14937,c_93]) ).
tcf(c_69334,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_14938,c_93]) ).
tcf(c_69347,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_14939,c_93]) ).
tcf(c_69640,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK58,sK19(X0)),sK56) = app(sK58,app(sK19(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_76,c_64254]) ).
tcf(c_69641,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK58,sK18(X0)),sK56) = app(sK58,app(sK18(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_77,c_64254]) ).
tcf(c_69642,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK58,sK17(X0)),sK56) = app(sK58,app(sK17(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_78,c_64254]) ).
tcf(c_69643,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK58,sK24(X0)),sK56) = app(sK58,app(sK24(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_88,c_64254]) ).
tcf(c_69644,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK58,sK23(X0)),sK56) = app(sK58,app(sK23(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_89,c_64254]) ).
tcf(c_69645,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK58,sK22(X0)),sK56) = app(sK58,app(sK22(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_90,c_64254]) ).
tcf(c_69646,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK58,sK29(X0)),sK56) = app(sK58,app(sK29(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_100,c_64254]) ).
tcf(c_69647,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK58,sK28(X0)),sK56) = app(sK58,app(sK28(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_101,c_64254]) ).
tcf(c_69648,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK58,sK27(X0)),sK56) = app(sK58,app(sK27(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_102,c_64254]) ).
tcf(c_70728,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_14940,c_105]) ).
tcf(c_70742,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_14941,c_105]) ).
tcf(c_70756,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_14942,c_105]) ).
tcf(c_70777,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,sK19(X0)) = app(iPr_def_11,sK19(X0)) ) ),
inference(superposition,[status(thm)],[c_76,c_16754]) ).
tcf(c_70778,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,sK18(X0)) = app(iPr_def_11,sK18(X0)) ) ),
inference(superposition,[status(thm)],[c_77,c_16754]) ).
tcf(c_70779,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,sK17(X0)) = app(iPr_def_11,sK17(X0)) ) ),
inference(superposition,[status(thm)],[c_78,c_16754]) ).
tcf(c_70780,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,sK24(X0)) = app(iPr_def_11,sK24(X0)) ) ),
inference(superposition,[status(thm)],[c_88,c_16754]) ).
tcf(c_70781,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,sK23(X0)) = app(iPr_def_11,sK23(X0)) ) ),
inference(superposition,[status(thm)],[c_89,c_16754]) ).
tcf(c_70782,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,sK22(X0)) = app(iPr_def_11,sK22(X0)) ) ),
inference(superposition,[status(thm)],[c_90,c_16754]) ).
tcf(c_70783,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,sK29(X0)) = app(iPr_def_11,sK29(X0)) ) ),
inference(superposition,[status(thm)],[c_100,c_16754]) ).
tcf(c_70784,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,sK28(X0)) = app(iPr_def_11,sK28(X0)) ) ),
inference(superposition,[status(thm)],[c_101,c_16754]) ).
tcf(c_70785,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,sK27(X0)) = app(iPr_def_11,sK27(X0)) ) ),
inference(superposition,[status(thm)],[c_102,c_16754]) ).
tcf(c_73743,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_20179,c_81]) ).
tcf(c_73744,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_20179,c_105]) ).
tcf(c_73745,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_20179,c_93]) ).
tcf(c_73749,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_20179,c_81]) ).
tcf(c_73750,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_20179,c_105]) ).
tcf(c_73751,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_20179,c_93]) ).
tcf(c_74269,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_71450,c_81]) ).
tcf(c_74270,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_71450,c_105]) ).
tcf(c_74271,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_71450,c_93]) ).
tcf(c_74318,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_74271,c_12995,c_141,c_8999]) ).
tcf(c_74324,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_74270,c_12995,c_141,c_8999]) ).
tcf(c_74330,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_74269,c_12995,c_141,c_8999]) ).
tcf(c_74577,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_23050]) ).
tcf(c_74578,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_23050]) ).
tcf(c_74579,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_23050]) ).
tcf(c_74580,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_23050]) ).
tcf(c_74581,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_23050]) ).
tcf(c_74582,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_23050]) ).
tcf(c_74583,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_23050]) ).
tcf(c_74584,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_23050]) ).
tcf(c_74585,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_23050]) ).
tcf(c_75011,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK56,sK19(X0)),sK59) = app(sK56,app(sK19(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_76,c_74602]) ).
tcf(c_75012,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK56,sK18(X0)),sK59) = app(sK56,app(sK18(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_77,c_74602]) ).
tcf(c_75013,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK56,sK17(X0)),sK59) = app(sK56,app(sK17(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_78,c_74602]) ).
tcf(c_75014,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK56,sK24(X0)),sK59) = app(sK56,app(sK24(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_88,c_74602]) ).
tcf(c_75015,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK56,sK23(X0)),sK59) = app(sK56,app(sK23(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_89,c_74602]) ).
tcf(c_75016,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK56,sK22(X0)),sK59) = app(sK56,app(sK22(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_90,c_74602]) ).
tcf(c_75017,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK56,sK29(X0)),sK59) = app(sK56,app(sK29(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_100,c_74602]) ).
tcf(c_75018,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK56,sK28(X0)),sK59) = app(sK56,app(sK28(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_101,c_74602]) ).
tcf(c_75019,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK56,sK27(X0)),sK59) = app(sK56,app(sK27(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_102,c_74602]) ).
tcf(c_76482,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_20180,c_81]) ).
tcf(c_76483,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_20180,c_105]) ).
tcf(c_76484,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_20180,c_93]) ).
tcf(c_76488,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_20180,c_81]) ).
tcf(c_76489,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_20180,c_105]) ).
tcf(c_76490,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_20180,c_93]) ).
tcf(c_78254,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_73208,c_81]) ).
tcf(c_78255,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_73208,c_105]) ).
tcf(c_78256,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_73208,c_93]) ).
tcf(c_78303,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_78256,c_12859,c_141,c_8999]) ).
tcf(c_78309,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_78255,c_12859,c_141,c_8999]) ).
tcf(c_78315,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_78254,c_12859,c_141,c_8999]) ).
tcf(c_78623,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK59,sK19(X0)),sK59) = app(sK59,app(sK19(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_76,c_74603]) ).
tcf(c_78624,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK59,sK18(X0)),sK59) = app(sK59,app(sK18(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_77,c_74603]) ).
tcf(c_78625,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK59,sK17(X0)),sK59) = app(sK59,app(sK17(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_78,c_74603]) ).
tcf(c_78626,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK59,sK24(X0)),sK59) = app(sK59,app(sK24(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_88,c_74603]) ).
tcf(c_78627,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK59,sK23(X0)),sK59) = app(sK59,app(sK23(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_89,c_74603]) ).
tcf(c_78628,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK59,sK22(X0)),sK59) = app(sK59,app(sK22(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_90,c_74603]) ).
tcf(c_78629,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK59,sK29(X0)),sK59) = app(sK59,app(sK29(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_100,c_74603]) ).
tcf(c_78630,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK59,sK28(X0)),sK59) = app(sK59,app(sK28(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_101,c_74603]) ).
tcf(c_78631,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK59,sK27(X0)),sK59) = app(sK59,app(sK27(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_102,c_74603]) ).
tcf(c_79197,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK19(X0),sK11(sK19(X0),sK19(X0))) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_17876]) ).
tcf(c_79198,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK18(X0),sK11(sK18(X0),sK18(X0))) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_17876]) ).
tcf(c_79199,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK17(X0),sK11(sK17(X0),sK17(X0))) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_17876]) ).
tcf(c_79200,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK24(X0),sK11(sK24(X0),sK24(X0))) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_17876]) ).
tcf(c_79201,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK23(X0),sK11(sK23(X0),sK23(X0))) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_17876]) ).
tcf(c_79202,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK22(X0),sK11(sK22(X0),sK22(X0))) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_17876]) ).
tcf(c_79203,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK29(X0),sK11(sK29(X0),sK29(X0))) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_17876]) ).
tcf(c_79204,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK28(X0),sK11(sK28(X0),sK28(X0))) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_17876]) ).
tcf(c_79205,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK27(X0),sK11(sK27(X0),sK27(X0))) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_17876]) ).
tcf(c_79499,plain,
! [X0: $i] :
( sP0(X0)
| ( app(nil,sK11(sK19(X0),nil)) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_17916]) ).
tcf(c_79500,plain,
! [X0: $i] :
( sP0(X0)
| ( app(nil,sK11(sK18(X0),nil)) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_17916]) ).
tcf(c_79501,plain,
! [X0: $i] :
( sP0(X0)
| ( app(nil,sK11(sK17(X0),nil)) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_17916]) ).
tcf(c_79502,plain,
! [X0: $i] :
( sP2(X0)
| ( app(nil,sK11(sK24(X0),nil)) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_17916]) ).
tcf(c_79503,plain,
! [X0: $i] :
( sP2(X0)
| ( app(nil,sK11(sK23(X0),nil)) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_17916]) ).
tcf(c_79504,plain,
! [X0: $i] :
( sP2(X0)
| ( app(nil,sK11(sK22(X0),nil)) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_17916]) ).
tcf(c_79505,plain,
! [X0: $i] :
( sP4(X0)
| ( app(nil,sK11(sK29(X0),nil)) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_17916]) ).
tcf(c_79506,plain,
! [X0: $i] :
( sP4(X0)
| ( app(nil,sK11(sK28(X0),nil)) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_17916]) ).
tcf(c_79507,plain,
! [X0: $i] :
( sP4(X0)
| ( app(nil,sK11(sK27(X0),nil)) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_17916]) ).
tcf(c_81907,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK12(sK19(X0),sK19(X0)),sK19(X0)) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_18447]) ).
tcf(c_81908,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK12(sK18(X0),sK18(X0)),sK18(X0)) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_18447]) ).
tcf(c_81909,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK12(sK17(X0),sK17(X0)),sK17(X0)) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_18447]) ).
tcf(c_81910,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK12(sK24(X0),sK24(X0)),sK24(X0)) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_18447]) ).
tcf(c_81911,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK12(sK23(X0),sK23(X0)),sK23(X0)) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_18447]) ).
tcf(c_81912,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK12(sK22(X0),sK22(X0)),sK22(X0)) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_18447]) ).
tcf(c_81913,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK12(sK29(X0),sK29(X0)),sK29(X0)) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_18447]) ).
tcf(c_81914,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK12(sK28(X0),sK28(X0)),sK28(X0)) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_18447]) ).
tcf(c_81915,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK12(sK27(X0),sK27(X0)),sK27(X0)) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_18447]) ).
tcf(c_82260,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK12(sK19(X0),nil),nil) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_18475]) ).
tcf(c_82261,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK12(sK18(X0),nil),nil) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_18475]) ).
tcf(c_82262,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK12(sK17(X0),nil),nil) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_18475]) ).
tcf(c_82263,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK12(sK24(X0),nil),nil) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_18475]) ).
tcf(c_82264,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK12(sK23(X0),nil),nil) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_18475]) ).
tcf(c_82265,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK12(sK22(X0),nil),nil) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_18475]) ).
tcf(c_82266,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK12(sK29(X0),nil),nil) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_18475]) ).
tcf(c_82267,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK12(sK28(X0),nil),nil) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_18475]) ).
tcf(c_82268,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK12(sK27(X0),nil),nil) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_18475]) ).
tcf(c_82700,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK60,sK19(X0)) = app(iPr_def_10,sK19(X0)) ) ),
inference(superposition,[status(thm)],[c_76,c_19073]) ).
tcf(c_82701,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK60,sK18(X0)) = app(iPr_def_10,sK18(X0)) ) ),
inference(superposition,[status(thm)],[c_77,c_19073]) ).
tcf(c_82702,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK60,sK17(X0)) = app(iPr_def_10,sK17(X0)) ) ),
inference(superposition,[status(thm)],[c_78,c_19073]) ).
tcf(c_82703,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK60,sK24(X0)) = app(iPr_def_10,sK24(X0)) ) ),
inference(superposition,[status(thm)],[c_88,c_19073]) ).
tcf(c_82704,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK60,sK23(X0)) = app(iPr_def_10,sK23(X0)) ) ),
inference(superposition,[status(thm)],[c_89,c_19073]) ).
tcf(c_82705,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK60,sK22(X0)) = app(iPr_def_10,sK22(X0)) ) ),
inference(superposition,[status(thm)],[c_90,c_19073]) ).
tcf(c_82706,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK60,sK29(X0)) = app(iPr_def_10,sK29(X0)) ) ),
inference(superposition,[status(thm)],[c_100,c_19073]) ).
tcf(c_82707,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK60,sK28(X0)) = app(iPr_def_10,sK28(X0)) ) ),
inference(superposition,[status(thm)],[c_101,c_19073]) ).
tcf(c_82708,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK60,sK27(X0)) = app(iPr_def_10,sK27(X0)) ) ),
inference(superposition,[status(thm)],[c_102,c_19073]) ).
tcf(c_84943,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_83687,c_81]) ).
tcf(c_84944,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_83687,c_105]) ).
tcf(c_84945,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_83687,c_93]) ).
tcf(c_84992,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_84945,c_9004,c_141,c_18410]) ).
tcf(c_84998,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_84944,c_9004,c_141,c_18410]) ).
tcf(c_85004,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_84943,c_9004,c_141,c_18410]) ).
tcf(c_87686,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_84022,c_81]) ).
tcf(c_87687,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_84022,c_105]) ).
tcf(c_87688,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_84022,c_93]) ).
tcf(c_87735,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_87688,c_9003,c_141,c_18410]) ).
tcf(c_87741,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_87687,c_9003,c_141,c_18410]) ).
tcf(c_87747,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_87686,c_9003,c_141,c_18410]) ).
tcf(c_87998,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(app(iPr_def_11,sK27(X0))) = sK60 ) ),
inference(demodulation,[status(thm)],[c_51986,c_87930]) ).
tcf(c_87999,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(app(iPr_def_11,sK28(X0))) = sK60 ) ),
inference(demodulation,[status(thm)],[c_51985,c_87930]) ).
tcf(c_88000,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(app(iPr_def_11,sK29(X0))) = sK60 ) ),
inference(demodulation,[status(thm)],[c_51984,c_87930]) ).
tcf(c_88001,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(app(iPr_def_11,sK22(X0))) = sK60 ) ),
inference(demodulation,[status(thm)],[c_51983,c_87930]) ).
tcf(c_88002,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(app(iPr_def_11,sK23(X0))) = sK60 ) ),
inference(demodulation,[status(thm)],[c_51982,c_87930]) ).
tcf(c_88003,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(app(iPr_def_11,sK24(X0))) = sK60 ) ),
inference(demodulation,[status(thm)],[c_51981,c_87930]) ).
tcf(c_88004,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(app(iPr_def_11,sK17(X0))) = sK60 ) ),
inference(demodulation,[status(thm)],[c_51980,c_87930]) ).
tcf(c_88005,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(app(iPr_def_11,sK18(X0))) = sK60 ) ),
inference(demodulation,[status(thm)],[c_51979,c_87930]) ).
tcf(c_88006,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(app(iPr_def_11,sK19(X0))) = sK60 ) ),
inference(demodulation,[status(thm)],[c_51978,c_87930]) ).
tcf(c_88850,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_84515,c_81]) ).
tcf(c_88851,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_84515,c_105]) ).
tcf(c_88852,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_84515,c_93]) ).
tcf(c_88895,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_88852,c_9000,c_141,c_18410]) ).
tcf(c_88901,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_88851,c_9000,c_141,c_18410]) ).
tcf(c_88907,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_88850,c_9000,c_141,c_18410]) ).
tcf(c_88987,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_85359,c_81]) ).
tcf(c_88988,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_85359,c_105]) ).
tcf(c_88989,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_85359,c_93]) ).
tcf(c_89032,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_88989,c_12995,c_141,c_18410]) ).
tcf(c_89038,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_88988,c_12995,c_141,c_18410]) ).
tcf(c_89044,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_88987,c_12995,c_141,c_18410]) ).
tcf(c_89102,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK58,sK19(X0)),sK59) = app(sK58,app(sK19(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_76,c_74604]) ).
tcf(c_89103,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK58,sK18(X0)),sK59) = app(sK58,app(sK18(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_77,c_74604]) ).
tcf(c_89104,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK58,sK17(X0)),sK59) = app(sK58,app(sK17(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_78,c_74604]) ).
tcf(c_89105,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK58,sK24(X0)),sK59) = app(sK58,app(sK24(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_88,c_74604]) ).
tcf(c_89106,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK58,sK23(X0)),sK59) = app(sK58,app(sK23(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_89,c_74604]) ).
tcf(c_89107,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK58,sK22(X0)),sK59) = app(sK58,app(sK22(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_90,c_74604]) ).
tcf(c_89108,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK58,sK29(X0)),sK59) = app(sK58,app(sK29(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_100,c_74604]) ).
tcf(c_89109,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK58,sK28(X0)),sK59) = app(sK58,app(sK28(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_101,c_74604]) ).
tcf(c_89110,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK58,sK27(X0)),sK59) = app(sK58,app(sK27(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_102,c_74604]) ).
tcf(c_90237,plain,
! [X0: $i,X1: $i] :
( ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK60,X0)
| ~ leq(X0,sK60)
| ~ sP0(app(cons(sK60,iPr_def_10),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_87153,c_81]) ).
tcf(c_90238,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| lt(X0,sK60)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP4(app(cons(sK60,iPr_def_10),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_87153,c_105]) ).
tcf(c_90239,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| leq(X0,sK60)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP2(app(cons(sK60,iPr_def_10),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_87153,c_93]) ).
tcf(c_90282,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| leq(X0,sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP2(app(cons(sK60,iPr_def_10),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90239,c_18402,c_141,c_18410]) ).
tcf(c_90288,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| lt(X0,sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP4(app(cons(sK60,iPr_def_10),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90238,c_18402,c_141,c_18410]) ).
tcf(c_90294,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK60,X0)
| ~ leq(X0,sK60)
| ~ sP0(app(cons(sK60,iPr_def_10),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90237,c_18402,c_141,c_18410]) ).
tcf(c_90564,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(app(iPr_def_12,sK19(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_76,c_90550]) ).
tcf(c_90565,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(app(iPr_def_12,sK18(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_77,c_90550]) ).
tcf(c_90566,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(app(iPr_def_12,sK17(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_78,c_90550]) ).
tcf(c_90567,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(app(iPr_def_12,sK24(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_88,c_90550]) ).
tcf(c_90568,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(app(iPr_def_12,sK23(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_89,c_90550]) ).
tcf(c_90569,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(app(iPr_def_12,sK22(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_90,c_90550]) ).
tcf(c_90570,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(app(iPr_def_12,sK29(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_100,c_90550]) ).
tcf(c_90571,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(app(iPr_def_12,sK28(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_101,c_90550]) ).
tcf(c_90572,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(app(iPr_def_12,sK27(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_102,c_90550]) ).
tcf(c_91011,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_90564,c_81]) ).
tcf(c_91286,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_90565,c_81]) ).
tcf(c_91334,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_90566,c_81]) ).
tcf(c_91348,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_90567,c_93]) ).
tcf(c_91361,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_90568,c_93]) ).
tcf(c_91707,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_90569,c_93]) ).
tcf(c_91720,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_90570,c_105]) ).
tcf(c_91734,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_90571,c_105]) ).
tcf(c_91748,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_90572,c_105]) ).
tcf(c_92143,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_23051]) ).
tcf(c_92144,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_23051]) ).
tcf(c_92145,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_23051]) ).
tcf(c_92146,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_23051]) ).
tcf(c_92147,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_23051]) ).
tcf(c_92148,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_23051]) ).
tcf(c_92149,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_23051]) ).
tcf(c_92150,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_23051]) ).
tcf(c_92151,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_23051]) ).
tcf(c_92664,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK56,sK19(X0)),sK58) = app(sK56,app(sK19(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_76,c_92168]) ).
tcf(c_92665,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK56,sK18(X0)),sK58) = app(sK56,app(sK18(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_77,c_92168]) ).
tcf(c_92666,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK56,sK17(X0)),sK58) = app(sK56,app(sK17(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_78,c_92168]) ).
tcf(c_92667,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK56,sK24(X0)),sK58) = app(sK56,app(sK24(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_88,c_92168]) ).
tcf(c_92668,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK56,sK23(X0)),sK58) = app(sK56,app(sK23(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_89,c_92168]) ).
tcf(c_92669,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK56,sK22(X0)),sK58) = app(sK56,app(sK22(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_90,c_92168]) ).
tcf(c_92670,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK56,sK29(X0)),sK58) = app(sK56,app(sK29(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_100,c_92168]) ).
tcf(c_92671,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK56,sK28(X0)),sK58) = app(sK56,app(sK28(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_101,c_92168]) ).
tcf(c_92672,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK56,sK27(X0)),sK58) = app(sK56,app(sK27(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_102,c_92168]) ).
tcf(c_93318,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_92724,c_92723,c_92722,c_92720,c_92719,c_92718,c_92717,c_92716,c_92715,c_92714,c_92713,c_92712,c_92711,c_92710,c_92709,c_92708,c_92707,c_92706,c_92705,c_92704,c_92703,c_92702,c_92701,c_92700,c_92699,c_92698,c_92697,c_92696,c_92695,c_92694,c_92693,c_92692,c_92691,c_92690,c_92689,c_92688,c_92687,c_92686,c_92685,c_92684,c_92683,c_92682,c_92681,c_92680,c_92679,c_92678,c_92677,c_92676,c_92675,c_92674,c_92673,c_92672,c_92671,c_92670,c_92669,c_92668,c_92667,c_92666,c_92665,c_92664,c_92663,c_92662,c_92661,c_92660,c_92659,c_92658,c_92657,c_92198,c_92197,c_92196,c_92195,c_92194,c_92193,c_92192,c_92191,c_92190,c_92189,c_92188,c_92187,c_92186,c_92185,c_92184,c_92183,c_92182,c_92181,c_92180,c_92179,c_92178,c_92177,c_92176,c_92175,c_92174,c_92173,c_92172,c_92171,c_92170,c_92169,c_92168,c_92167,c_92166,c_92165,c_92164,c_92163,c_92162,c_92161,c_92160,c_92159,c_92158,c_92157,c_92156,c_92155,c_92154,c_92153,c_92152,c_92151,c_92150,c_92149,c_92148,c_92147,c_92146,c_92145,c_92144,c_92143,c_92142,c_92141,c_92140,c_92139,c_92138,c_92137,c_92136,c_92008,c_92003,c_91997,c_91996,c_91995,c_91994,c_91940,c_91939,c_91938,c_91937,c_91936,c_91921,c_91916,c_91910,c_91909,c_91908,c_91907,c_91877,c_91876,c_91875,c_91874,c_91859,c_91854,c_91848,c_91847,c_91846,c_91845,c_91812,c_91811,c_91810,c_91809,c_91808,c_91761,c_91758,c_91748,c_91734,c_91720,c_91707,c_91647,c_91646,c_91645,c_91633,c_91630,c_91628,c_91627,c_91626,c_91618,c_91615,c_91613,c_91612,c_91611,c_91603,c_91600,c_91598,c_91597,c_91596,c_91589,c_91574,c_91569,c_91566,c_91565,c_91564,c_91563,c_91562,c_91489,c_91488,c_91487,c_91486,c_91485,c_91484,c_91483,c_91482,c_91481,c_91480,c_91478,c_91475,c_91461,c_91458,c_91457,c_91456,c_91454,c_91452,c_91451,c_91415,c_91414,c_91413,c_91412,c_91411,c_91410,c_91409,c_91408,c_91407,c_91406,c_91386,c_91385,c_91380,c_91375,c_91374,c_91373,c_91372,c_91361,c_91348,c_91334,c_91286,c_91257,c_91256,c_91255,c_91243,c_91238,c_91235,c_91234,c_91233,c_91232,c_91230,c_91229,c_91228,c_91218,c_91209,c_91203,c_91194,c_91097,c_91093,c_91091,c_91090,c_91089,c_91062,c_91061,c_91060,c_91046,c_91045,c_91037,c_91033,c_91031,c_91030,c_91029,c_91011,c_90985,c_90984,c_90983,c_90959,c_90958,c_90957,c_90619,c_90618,c_90617,c_90616,c_90615,c_90614,c_90613,c_90612,c_90611,c_90610,c_90609,c_90608,c_90607,c_90606,c_90605,c_90604,c_90603,c_90602,c_90601,c_90600,c_90599,c_90598,c_90597,c_90596,c_90595,c_90594,c_90593,c_90592,c_90591,c_90590,c_90589,c_90588,c_90587,c_90586,c_90585,c_90584,c_90583,c_90582,c_90581,c_90580,c_90579,c_90578,c_90577,c_90576,c_90575,c_90574,c_90573,c_90572,c_90571,c_90570,c_90569,c_90568,c_90567,c_90566,c_90565,c_90564,c_90563,c_90562,c_90561,c_90560,c_90559,c_90558,c_90557,c_90550,c_90526,c_90525,c_90524,c_90510,c_90509,c_90501,c_90497,c_90495,c_90494,c_90493,c_90407,c_90406,c_90405,c_90391,c_90390,c_90380,c_90376,c_90374,c_90373,c_90372,c_90363,c_90359,c_90357,c_90356,c_90355,c_90346,c_90342,c_90340,c_90339,c_90338,c_90328,c_90327,c_90313,c_90312,c_90306,c_90305,c_90301,c_90300,c_90294,c_90288,c_90282,c_90278,c_90277,c_90272,c_90268,c_90264,c_90260,c_90257,c_90255,c_90250,c_90254,c_90241,c_90239,c_90238,c_90237,c_90236,c_90235,c_90234,c_90173,c_90172,c_90168,c_90164,c_90159,c_90155,c_90150,c_90149,c_90145,c_90146,c_90136,c_90109,c_90108,c_90107,c_89961,c_89960,c_89959,c_89958,c_89957,c_89956,c_89955,c_89954,c_89953,c_89952,c_89951,c_89950,c_89949,c_89948,c_89947,c_89946,c_89945,c_89944,c_89943,c_89942,c_89941,c_89940,c_89939,c_89938,c_89937,c_89936,c_89935,c_89934,c_89933,c_89932,c_89931,c_89930,c_89929,c_89928,c_89927,c_89926,c_89925,c_89924,c_89923,c_89904,c_89903,c_89898,c_89893,c_89887,c_89881,c_89876,c_89871,c_89867,c_89862,c_89857,c_89853,c_89850,c_89849,c_89845,c_89836,c_89833,c_89830,c_89829,c_89828,c_89827,c_89826,c_89825,c_89824,c_89823,c_89822,c_89820,c_89818,c_89817,c_89816,c_89815,c_89814,c_89813,c_89819,c_89821,c_89810,c_89703,c_89702,c_89701,c_89700,c_89699,c_89698,c_89697,c_89696,c_89695,c_89694,c_89693,c_89692,c_89691,c_89690,c_89689,c_89688,c_89687,c_89686,c_89685,c_89684,c_89683,c_89682,c_89681,c_89680,c_89679,c_89678,c_89677,c_89676,c_89675,c_89674,c_89673,c_89672,c_89671,c_89670,c_89669,c_89668,c_89667,c_89666,c_89665,c_89646,c_89645,c_89640,c_89635,c_89629,c_89623,c_89618,c_89613,c_89609,c_89604,c_89599,c_89595,c_89592,c_89591,c_89587,c_89578,c_89575,c_89572,c_89571,c_89570,c_89569,c_89568,c_89567,c_89566,c_89565,c_89564,c_89562,c_89560,c_89559,c_89558,c_89557,c_89556,c_89555,c_89561,c_89563,c_89552,c_89445,c_89444,c_89443,c_89442,c_89441,c_89440,c_89439,c_89438,c_89437,c_89436,c_89435,c_89434,c_89433,c_89432,c_89431,c_89430,c_89429,c_89428,c_89427,c_89426,c_89425,c_89424,c_89423,c_89422,c_89421,c_89420,c_89419,c_89418,c_89417,c_89416,c_89415,c_89414,c_89413,c_89412,c_89411,c_89410,c_89409,c_89408,c_89407,c_89388,c_89387,c_89382,c_89377,c_89371,c_89365,c_89360,c_89355,c_89351,c_89348,c_89347,c_89343,c_89338,c_89333,c_89329,c_89320,c_89317,c_89314,c_89313,c_89312,c_89311,c_89310,c_89309,c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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC184+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.38 % Computer : n001.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Thu Sep 24 16:56:55 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.45 % Proving...
% 54.06/8.43 % SZS status Started for theBenchmark.p
% 54.06/8.43 % SZS status Theorem for theBenchmark.p
% 54.06/8.43
% 54.06/8.43 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 54.06/8.43
% 54.06/8.43 % ------ iProver source info
% 54.06/8.43
% 54.06/8.43 % git: date: 2026-07-19 20:42:38 +0200
% 54.06/8.43 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 54.06/8.43 % git: non_committed_changes: false
% 54.06/8.43
% 54.06/8.43 % ------ Parsing...
% 54.06/8.43 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 54.06/8.43
% 54.06/8.43 % ------ 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 %
% 54.06/8.43
% 54.06/8.43 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 54.06/8.43
% 54.06/8.43 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 54.06/8.43 % ------ Proving...
% 54.06/8.43 % ------ Problem Properties
% 54.06/8.43
% 54.06/8.43 %
% 54.06/8.43 % clauses 199
% 54.06/8.43 % conjectures 15
% 54.06/8.43 % EPR 64
% 54.06/8.43 % Horn 122
% 54.06/8.43 % unary 26
% 54.06/8.43 % binary 47
% 54.06/8.43 % lits 652
% 54.06/8.43 % lits eq 95
% 54.06/8.43 % fd_pure 0
% 54.06/8.43 % fd_pseudo 0
% 54.06/8.43 % fd_cond 23
% 54.06/8.43 % fd_pseudo_cond 14
% 54.06/8.43 % AC symbols 0
% 54.06/8.43
% 54.06/8.43 % ------ Schedule dynamic 5 is on
% 54.06/8.43
% 54.06/8.43 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 54.06/8.43
% 54.06/8.43
% 54.06/8.43 % ------
% 54.06/8.43 % Current options:
% 54.06/8.43 % ------
% 54.06/8.43
% 54.06/8.43
% 54.06/8.43 %
% 54.06/8.43
% 54.06/8.43 % ------ Proving...
% 54.06/8.43 %
% 54.06/8.43
% 54.06/8.43 % SZS status Theorem for theBenchmark.p
% 54.06/8.43
% 54.06/8.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 54.07/8.59
% 54.07/8.59
%------------------------------------------------------------------------------