%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC166+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 : n016.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 03:08:09 PM UTC 2026
% Result : Theorem 64.28s 16.92s
% Output : CNFRefutation 113.81s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f542ERROR: Could not build tree for root c_228731ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax1) ).
fof(f2,axiom,
? [X0] :
( ? [X1] :
( X0 != X1
& ssItem(X1) )
& ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax2) ).
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax3) ).
fof(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax4) ).
fof(f5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax5) ).
fof(f6,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( rearsegP(X0,X1)
<=> ? [X2] :
( app(X2,X1) = X0
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax6) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).
fof(f8,axiom,
! [X0] :
( ssList(X0)
=> ( cyclefreeP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> ~ ( leq(X2,X1)
& leq(X1,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax8) ).
fof(f9,axiom,
! [X0] :
( ssList(X0)
=> ( totalorderP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> ( leq(X2,X1)
| leq(X1,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax9) ).
fof(f10,axiom,
! [X0] :
( ssList(X0)
=> ( strictorderP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> ( lt(X2,X1)
| lt(X1,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax10) ).
fof(f11,axiom,
! [X0] :
( ssList(X0)
=> ( totalorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> leq(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax11) ).
fof(f12,axiom,
! [X0] :
( ssList(X0)
=> ( strictorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> lt(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax12) ).
fof(f13,axiom,
! [X0] :
( ssList(X0)
=> ( duplicatefreeP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> X1 != X2 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax13) ).
fof(f14,axiom,
! [X0] :
( ssList(X0)
=> ( equalelemsP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( app(X3,cons(X1,cons(X2,X4))) = X0
=> X1 = X2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax14) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax18) ).
fof(f19,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( cons(X2,X0) = cons(X3,X1)
=> ( X1 = X0
& X2 = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax19) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax20) ).
fof(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax21) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax22) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax23) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax25) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(f27,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax27) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(f29,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( ( leq(X1,X0)
& leq(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax29) ).
fof(f30,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax30) ).
fof(f31,axiom,
! [X0] :
( ssItem(X0)
=> leq(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax31) ).
fof(f32,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( geq(X0,X1)
<=> leq(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax32) ).
fof(f33,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
=> ~ lt(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax33) ).
fof(f34,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( lt(X1,X2)
& lt(X0,X1) )
=> lt(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax34) ).
fof(f35,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( gt(X0,X1)
<=> lt(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax35) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax36) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax37) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax39) ).
fof(f40,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( frontsegP(X1,X2)
& frontsegP(X0,X1) )
=> frontsegP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax40) ).
fof(f41,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( frontsegP(X1,X0)
& frontsegP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax41) ).
fof(f42,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax42) ).
fof(f43,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X0,X1)
=> frontsegP(app(X0,X2),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax43) ).
fof(f44,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( frontsegP(X2,X3)
& X0 = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax44) ).
fof(f45,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax45) ).
fof(f46,axiom,
! [X0] :
( ssList(X0)
=> ( frontsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax46) ).
fof(f47,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( rearsegP(X1,X2)
& rearsegP(X0,X1) )
=> rearsegP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax47) ).
fof(f48,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( rearsegP(X1,X0)
& rearsegP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax48) ).
fof(f49,axiom,
! [X0] :
( ssList(X0)
=> rearsegP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax49) ).
fof(f50,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( rearsegP(X0,X1)
=> rearsegP(app(X2,X0),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax50) ).
fof(f51,axiom,
! [X0] :
( ssList(X0)
=> rearsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax51) ).
fof(f52,axiom,
! [X0] :
( ssList(X0)
=> ( rearsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax52) ).
fof(f53,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X1,X2)
& segmentP(X0,X1) )
=> segmentP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax53) ).
fof(f54,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( segmentP(X1,X0)
& segmentP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax54) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax55) ).
fof(f56,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( segmentP(X0,X1)
=> segmentP(app(app(X2,X0),X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax56) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax57) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax58) ).
fof(f59,axiom,
! [X0] :
( ssItem(X0)
=> cyclefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax59) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax60) ).
fof(f61,axiom,
! [X0] :
( ssItem(X0)
=> totalorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax61) ).
fof(f62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax62) ).
fof(f63,axiom,
! [X0] :
( ssItem(X0)
=> strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax63) ).
fof(f64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax64) ).
fof(f65,axiom,
! [X0] :
( ssItem(X0)
=> totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax65) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax66) ).
fof(f67,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( totalorderedP(cons(X0,X1))
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax67) ).
fof(f68,axiom,
! [X0] :
( ssItem(X0)
=> strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax68) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax69) ).
fof(f70,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( strictorderedP(cons(X0,X1))
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax70) ).
fof(f71,axiom,
! [X0] :
( ssItem(X0)
=> duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax71) ).
fof(f72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax72) ).
fof(f73,axiom,
! [X0] :
( ssItem(X0)
=> equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax73) ).
fof(f74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax74) ).
fof(f75,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ? [X1] :
( hd(X0) = X1
& ssItem(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax75) ).
fof(f76,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ? [X1] :
( tl(X0) = X1
& ssList(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax76) ).
fof(f77,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( tl(X1) = tl(X0)
& hd(X1) = hd(X0)
& nil != X0
& nil != X1 )
=> X1 = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax77) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax78) ).
fof(f79,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X2,X1) = app(X0,X1)
=> X2 = X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax79) ).
fof(f80,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X1,X2) = app(X1,X0)
=> X2 = X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax80) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax82) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(f85,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> hd(app(X0,X1)) = hd(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax85) ).
fof(f86,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax86) ).
fof(f87,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( ( geq(X1,X0)
& geq(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax87) ).
fof(f88,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( geq(X1,X2)
& geq(X0,X1) )
=> geq(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax88) ).
fof(f89,axiom,
! [X0] :
( ssItem(X0)
=> geq(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax89) ).
fof(f91,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( lt(X1,X2)
& leq(X0,X1) )
=> lt(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax91) ).
fof(f93,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
<=> ( leq(X0,X1)
& X0 != X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax93) ).
fof(f94,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( gt(X0,X1)
=> ~ gt(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax94) ).
fof(f95,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( gt(X1,X2)
& gt(X0,X1) )
=> gt(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax95) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ( neq(X4,X5)
| app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0 ) ) ) ) )
| ~ singletonP(X2)
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ( neq(X4,X5)
| app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0 ) ) ) ) )
| ~ singletonP(X2)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( neq(X0,X1)
<=> X0 != X1 ) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f100,plain,
! [X0] :
( ~ ssList(X0)
| ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f101,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f102,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( rearsegP(X0,X1)
<=> ? [X2] :
( app(X2,X1) = X0
& ssList(X2) ) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f103,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f104,plain,
! [X0] :
( ~ ssList(X0)
| ( cyclefreeP(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ leq(X2,X1)
| ~ leq(X1,X2) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f105,plain,
! [X0] :
( ~ ssList(X0)
| ( cyclefreeP(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ leq(X2,X1)
| ~ leq(X1,X2) ) ) ) ) ) ) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0] :
( ~ ssList(X0)
| ( totalorderP(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| leq(X2,X1)
| leq(X1,X2) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f107,plain,
! [X0] :
( ~ ssList(X0)
| ( totalorderP(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| leq(X2,X1)
| leq(X1,X2) ) ) ) ) ) ) ),
inference(flattening,[],[f106]) ).
fof(f108,plain,
! [X0] :
( ~ ssList(X0)
| ( strictorderP(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| lt(X2,X1)
| lt(X1,X2) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f109,plain,
! [X0] :
( ~ ssList(X0)
| ( strictorderP(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| lt(X2,X1)
| lt(X1,X2) ) ) ) ) ) ) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0] :
( ~ ssList(X0)
| ( totalorderedP(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| leq(X1,X2) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f111,plain,
! [X0] :
( ~ ssList(X0)
| ( totalorderedP(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| leq(X1,X2) ) ) ) ) ) ) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0] :
( ~ ssList(X0)
| ( strictorderedP(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| lt(X1,X2) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f113,plain,
! [X0] :
( ~ ssList(X0)
| ( strictorderedP(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| lt(X1,X2) ) ) ) ) ) ) ),
inference(flattening,[],[f112]) ).
fof(f114,plain,
! [X0] :
( ~ ssList(X0)
| ( duplicatefreeP(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| X1 != X2 ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f115,plain,
! [X0] :
( ~ ssList(X0)
| ( duplicatefreeP(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| X1 != X2 ) ) ) ) ) ) ),
inference(flattening,[],[f114]) ).
fof(f116,plain,
! [X0] :
( ~ ssList(X0)
| ( equalelemsP(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| app(X3,cons(X1,cons(X2,X4))) != X0
| X1 = X2 ) ) ) ) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f117,plain,
! [X0] :
( ~ ssList(X0)
| ( equalelemsP(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| app(X3,cons(X1,cons(X2,X4))) != X0
| X1 = X2 ) ) ) ) ) ),
inference(flattening,[],[f116]) ).
fof(f119,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ssList(cons(X1,X0)) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f120,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,X0) != X0 ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f121,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssItem(X3)
| cons(X2,X0) != cons(X3,X1)
| ( X1 = X0
& X2 = X3 ) ) ) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f122,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssItem(X3)
| cons(X2,X0) != cons(X3,X1)
| ( X1 = X0
& X2 = X3 ) ) ) ) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
! [X0] :
( ~ ssList(X0)
| ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0 ),
inference(ennf_transformation,[],[f20]) ).
fof(f124,plain,
! [X0] :
( ~ ssList(X0)
| ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0 ),
inference(flattening,[],[f123]) ).
fof(f125,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| nil != cons(X1,X0) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f126,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
inference(flattening,[],[f129]) ).
fof(f131,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f132,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ssList(app(X0,X1)) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f133,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssItem(X2)
| cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) ) ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f134,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(ennf_transformation,[],[f28]) ).
fof(f135,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f136,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ) ),
inference(flattening,[],[f135]) ).
fof(f137,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f138,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ) ) ),
inference(flattening,[],[f137]) ).
fof(f139,plain,
! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f140,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( geq(X0,X1)
<=> leq(X1,X0) ) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f141,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ lt(X1,X0) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f142,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ lt(X1,X0) ) ),
inference(flattening,[],[f141]) ).
fof(f143,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| lt(X0,X2) ) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f144,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| lt(X0,X2) ) ) ),
inference(flattening,[],[f143]) ).
fof(f145,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( gt(X0,X1)
<=> lt(X1,X0) ) ) ),
inference(ennf_transformation,[],[f35]) ).
fof(f146,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) ) ) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f147,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssList(X2)
| ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) ) ) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f148,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f149,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f150,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ) ) ),
inference(flattening,[],[f149]) ).
fof(f151,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f152,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f154,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f155,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ) ) ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( frontsegP(X2,X3)
& X0 = X1 ) ) ) ) ) ),
inference(ennf_transformation,[],[f44]) ).
fof(f157,plain,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
inference(ennf_transformation,[],[f45]) ).
fof(f158,plain,
! [X0] :
( ~ ssList(X0)
| ( frontsegP(nil,X0)
<=> nil = X0 ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f159,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ) ) ),
inference(ennf_transformation,[],[f47]) ).
fof(f160,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ) ) ),
inference(flattening,[],[f159]) ).
fof(f161,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ) ),
inference(ennf_transformation,[],[f48]) ).
fof(f162,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ) ),
inference(flattening,[],[f161]) ).
fof(f163,plain,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f164,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f165,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ) ) ),
inference(flattening,[],[f164]) ).
fof(f166,plain,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ),
inference(ennf_transformation,[],[f51]) ).
fof(f167,plain,
! [X0] :
( ~ ssList(X0)
| ( rearsegP(nil,X0)
<=> nil = X0 ) ),
inference(ennf_transformation,[],[f52]) ).
fof(f168,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ) ) ),
inference(ennf_transformation,[],[f53]) ).
fof(f169,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ) ) ),
inference(flattening,[],[f168]) ).
fof(f170,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f171,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f173,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X2,X0),X3),X1) ) ) ) ),
inference(ennf_transformation,[],[f56]) ).
fof(f174,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X2,X0),X3),X1) ) ) ) ),
inference(flattening,[],[f173]) ).
fof(f175,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
inference(ennf_transformation,[],[f57]) ).
fof(f176,plain,
! [X0] :
( ~ ssList(X0)
| ( segmentP(nil,X0)
<=> nil = X0 ) ),
inference(ennf_transformation,[],[f58]) ).
fof(f177,plain,
! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ),
inference(ennf_transformation,[],[f59]) ).
fof(f178,plain,
! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ),
inference(ennf_transformation,[],[f61]) ).
fof(f179,plain,
! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ),
inference(ennf_transformation,[],[f63]) ).
fof(f180,plain,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
inference(ennf_transformation,[],[f65]) ).
fof(f181,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ( totalorderedP(cons(X0,X1))
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) ) ) ),
inference(ennf_transformation,[],[f67]) ).
fof(f182,plain,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
inference(ennf_transformation,[],[f68]) ).
fof(f183,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ( strictorderedP(cons(X0,X1))
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) ) ) ),
inference(ennf_transformation,[],[f70]) ).
fof(f184,plain,
! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ),
inference(ennf_transformation,[],[f71]) ).
fof(f185,plain,
! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ),
inference(ennf_transformation,[],[f73]) ).
fof(f186,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ? [X1] :
( hd(X0) = X1
& ssItem(X1) ) ),
inference(ennf_transformation,[],[f75]) ).
fof(f187,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ? [X1] :
( hd(X0) = X1
& ssItem(X1) ) ),
inference(flattening,[],[f186]) ).
fof(f188,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ? [X1] :
( tl(X0) = X1
& ssList(X1) ) ),
inference(ennf_transformation,[],[f76]) ).
fof(f189,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ? [X1] :
( tl(X0) = X1
& ssList(X1) ) ),
inference(flattening,[],[f188]) ).
fof(f190,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| tl(X0) != tl(X1)
| hd(X0) != hd(X1)
| nil = X0
| nil = X1
| X1 = X0 ) ),
inference(ennf_transformation,[],[f77]) ).
fof(f191,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| tl(X0) != tl(X1)
| hd(X0) != hd(X1)
| nil = X0
| nil = X1
| X1 = X0 ) ),
inference(flattening,[],[f190]) ).
fof(f192,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(ennf_transformation,[],[f78]) ).
fof(f193,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(flattening,[],[f192]) ).
fof(f194,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| app(X2,X1) != app(X0,X1)
| X2 = X0 ) ) ),
inference(ennf_transformation,[],[f79]) ).
fof(f195,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| app(X2,X1) != app(X0,X1)
| X2 = X0 ) ) ),
inference(flattening,[],[f194]) ).
fof(f196,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| app(X1,X2) != app(X1,X0)
| X2 = X0 ) ) ),
inference(ennf_transformation,[],[f80]) ).
fof(f197,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| app(X1,X2) != app(X1,X0)
| X2 = X0 ) ) ),
inference(flattening,[],[f196]) ).
fof(f198,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ) ),
inference(ennf_transformation,[],[f81]) ).
fof(f199,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
inference(ennf_transformation,[],[f82]) ).
fof(f200,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
inference(ennf_transformation,[],[f83]) ).
fof(f201,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(ennf_transformation,[],[f84]) ).
fof(f202,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| nil = X0
| hd(app(X0,X1)) = hd(X0) ) ),
inference(ennf_transformation,[],[f85]) ).
fof(f203,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| nil = X0
| hd(app(X0,X1)) = hd(X0) ) ),
inference(flattening,[],[f202]) ).
fof(f204,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| nil = X0
| tl(app(X0,X1)) = app(tl(X0),X1) ) ),
inference(ennf_transformation,[],[f86]) ).
fof(f205,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| nil = X0
| tl(app(X0,X1)) = app(tl(X0),X1) ) ),
inference(flattening,[],[f204]) ).
fof(f206,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ) ),
inference(ennf_transformation,[],[f87]) ).
fof(f207,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ) ),
inference(flattening,[],[f206]) ).
fof(f208,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| geq(X0,X2) ) ) ),
inference(ennf_transformation,[],[f88]) ).
fof(f209,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| geq(X0,X2) ) ) ),
inference(flattening,[],[f208]) ).
fof(f210,plain,
! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f212,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| lt(X0,X2) ) ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f213,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| lt(X0,X2) ) ) ),
inference(flattening,[],[f212]) ).
fof(f216,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( lt(X0,X1)
<=> ( leq(X0,X1)
& X0 != X1 ) ) ) ),
inference(ennf_transformation,[],[f93]) ).
fof(f217,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ~ gt(X0,X1)
| ~ gt(X1,X0) ) ),
inference(ennf_transformation,[],[f94]) ).
fof(f218,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ~ gt(X0,X1)
| ~ gt(X1,X0) ) ),
inference(flattening,[],[f217]) ).
fof(f219,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| gt(X0,X2) ) ) ),
inference(ennf_transformation,[],[f95]) ).
fof(f220,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| gt(X0,X2) ) ) ),
inference(flattening,[],[f219]) ).
fof(f221,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& ~ neq(X4,X5)
& app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0 ) ) ) )
& singletonP(X2)
& X0 = X2
& X1 = X3 ) ) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& ~ neq(X4,X5)
& app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0 ) ) ) )
& singletonP(X2)
& X0 = X2
& X1 = X3 ) ) ) ),
inference(flattening,[],[f221]) ).
fof(f232,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ neq(X0,X1)
| X0 != X1 )
& ( X0 = X1
| neq(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f98]) ).
fof(f233,plain,
( sK6 != sK7
& ssItem(sK7)
& ssItem(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X0,sK6),skolemize(X1,sK7)],[f2]) ).
fof(f234,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ memberP(X0,X1)
| ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) )
& ( ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| memberP(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f99]) ).
fof(f235,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ memberP(X0,X1)
| ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) ) )
& ( ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| memberP(X0,X1) ) ) ) ),
inference(rectify,[],[f234]) ).
fof(f236,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ memberP(X0,X1)
| ( app(sK8(X0,X1),cons(X1,sK9(X0,X1))) = X0
& ssList(sK9(X0,X1))
& ssList(sK8(X0,X1)) ) )
& ( ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| memberP(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X4,sK8(X0,X1)),skolemize(X5,sK9(X0,X1))],[f235]) ).
fof(f237,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ singletonP(X0)
| ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) )
& ( ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) )
| singletonP(X0) ) ) ),
inference(nnf_transformation,[],[f100]) ).
fof(f238,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ singletonP(X0)
| ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) ) )
& ( ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) )
| singletonP(X0) ) ) ),
inference(rectify,[],[f237]) ).
fof(f239,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ singletonP(X0)
| ( cons(sK10(X0),nil) = X0
& ssItem(sK10(X0)) ) )
& ( ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) )
| singletonP(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0))],[f238]) ).
fof(f240,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ frontsegP(X0,X1)
| ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) )
& ( ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) )
| frontsegP(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f101]) ).
fof(f241,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ frontsegP(X0,X1)
| ? [X3] :
( app(X1,X3) = X0
& ssList(X3) ) )
& ( ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) )
| frontsegP(X0,X1) ) ) ) ),
inference(rectify,[],[f240]) ).
fof(f242,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ frontsegP(X0,X1)
| ( app(X1,sK11(X0,X1)) = X0
& ssList(sK11(X0,X1)) ) )
& ( ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) )
| frontsegP(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X3,sK11(X0,X1))],[f241]) ).
fof(f243,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ rearsegP(X0,X1)
| ? [X2] :
( app(X2,X1) = X0
& ssList(X2) ) )
& ( ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) )
| rearsegP(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f102]) ).
fof(f244,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ rearsegP(X0,X1)
| ? [X3] :
( app(X3,X1) = X0
& ssList(X3) ) )
& ( ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) )
| rearsegP(X0,X1) ) ) ) ),
inference(rectify,[],[f243]) ).
fof(f245,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ rearsegP(X0,X1)
| ( app(sK12(X0,X1),X1) = X0
& ssList(sK12(X0,X1)) ) )
& ( ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) )
| rearsegP(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X3,sK12(X0,X1))],[f244]) ).
fof(f246,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ segmentP(X0,X1)
| ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) )
& ( ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| segmentP(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f103]) ).
fof(f247,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ segmentP(X0,X1)
| ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) ) )
& ( ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| segmentP(X0,X1) ) ) ) ),
inference(rectify,[],[f246]) ).
fof(f248,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ segmentP(X0,X1)
| ( app(app(sK13(X0,X1),X1),sK14(X0,X1)) = X0
& ssList(sK14(X0,X1))
& ssList(sK13(X0,X1)) ) )
& ( ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| segmentP(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X4,sK13(X0,X1)),skolemize(X5,sK14(X0,X1))],[f247]) ).
fof(f249,plain,
! [X0] :
( ~ sP1(X0)
| ( ( ~ cyclefreeP(X0)
| sP0(X0) )
& ( ~ sP0(X0)
| cyclefreeP(X0) ) ) ),
inference(nnf_transformation,[],[f224]) ).
fof(f253,plain,
! [X0] :
( ~ sP3(X0)
| ( ( ~ totalorderP(X0)
| sP2(X0) )
& ( ~ sP2(X0)
| totalorderP(X0) ) ) ),
inference(nnf_transformation,[],[f227]) ).
fof(f257,plain,
! [X0] :
( ~ sP5(X0)
| ( ( ~ strictorderP(X0)
| sP4(X0) )
& ( ~ sP4(X0)
| strictorderP(X0) ) ) ),
inference(nnf_transformation,[],[f230]) ).
fof(f261,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ totalorderedP(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| leq(X1,X2) ) ) ) ) ) )
& ( ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ~ leq(X1,X2) ) ) ) ) )
| totalorderedP(X0) ) ) ),
inference(nnf_transformation,[],[f111]) ).
fof(f262,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ totalorderedP(X0)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| leq(X6,X7) ) ) ) ) ) )
& ( ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ~ leq(X1,X2) ) ) ) ) )
| totalorderedP(X0) ) ) ),
inference(rectify,[],[f261]) ).
fof(f263,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ totalorderedP(X0)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| leq(X6,X7) ) ) ) ) ) )
& ( ( ssItem(sK30(X0))
& ssItem(sK31(X0))
& ssList(sK32(X0))
& ssList(sK33(X0))
& ssList(sK34(X0))
& app(app(sK32(X0),cons(sK30(X0),sK33(X0))),cons(sK31(X0),sK34(X0))) = X0
& ~ leq(sK30(X0),sK31(X0)) )
| totalorderedP(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30,sK31,sK32,sK33,sK34]),skolemize(X1,sK30(X0)),skolemize(X2,sK31(X0)),skolemize(X3,sK32(X0)),skolemize(X4,sK33(X0)),skolemize(X5,sK34(X0))],[f262]) ).
fof(f264,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ strictorderedP(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| lt(X1,X2) ) ) ) ) ) )
& ( ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ~ lt(X1,X2) ) ) ) ) )
| strictorderedP(X0) ) ) ),
inference(nnf_transformation,[],[f113]) ).
fof(f265,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ strictorderedP(X0)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| lt(X6,X7) ) ) ) ) ) )
& ( ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ~ lt(X1,X2) ) ) ) ) )
| strictorderedP(X0) ) ) ),
inference(rectify,[],[f264]) ).
fof(f266,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ strictorderedP(X0)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| lt(X6,X7) ) ) ) ) ) )
& ( ( ssItem(sK35(X0))
& ssItem(sK36(X0))
& ssList(sK37(X0))
& ssList(sK38(X0))
& ssList(sK39(X0))
& app(app(sK37(X0),cons(sK35(X0),sK38(X0))),cons(sK36(X0),sK39(X0))) = X0
& ~ lt(sK35(X0),sK36(X0)) )
| strictorderedP(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35,sK36,sK37,sK38,sK39]),skolemize(X1,sK35(X0)),skolemize(X2,sK36(X0)),skolemize(X3,sK37(X0)),skolemize(X4,sK38(X0)),skolemize(X5,sK39(X0))],[f265]) ).
fof(f267,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ duplicatefreeP(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| X1 != X2 ) ) ) ) ) )
& ( ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& X1 = X2 ) ) ) ) )
| duplicatefreeP(X0) ) ) ),
inference(nnf_transformation,[],[f115]) ).
fof(f268,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ duplicatefreeP(X0)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| X6 != X7 ) ) ) ) ) )
& ( ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& X1 = X2 ) ) ) ) )
| duplicatefreeP(X0) ) ) ),
inference(rectify,[],[f267]) ).
fof(f269,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ duplicatefreeP(X0)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| X6 != X7 ) ) ) ) ) )
& ( ( ssItem(sK40(X0))
& ssItem(sK41(X0))
& ssList(sK42(X0))
& ssList(sK43(X0))
& ssList(sK44(X0))
& app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),sK44(X0))) = X0
& sK40(X0) = sK41(X0) )
| duplicatefreeP(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40,sK41,sK42,sK43,sK44]),skolemize(X1,sK40(X0)),skolemize(X2,sK41(X0)),skolemize(X3,sK42(X0)),skolemize(X4,sK43(X0)),skolemize(X5,sK44(X0))],[f268]) ).
fof(f270,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ equalelemsP(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| app(X3,cons(X1,cons(X2,X4))) != X0
| X1 = X2 ) ) ) ) )
& ( ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(X3,cons(X1,cons(X2,X4))) = X0
& X1 != X2 ) ) ) )
| equalelemsP(X0) ) ) ),
inference(nnf_transformation,[],[f117]) ).
fof(f271,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ equalelemsP(X0)
| ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| app(X7,cons(X5,cons(X6,X8))) != X0
| X5 = X6 ) ) ) ) )
& ( ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(X3,cons(X1,cons(X2,X4))) = X0
& X1 != X2 ) ) ) )
| equalelemsP(X0) ) ) ),
inference(rectify,[],[f270]) ).
fof(f272,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ equalelemsP(X0)
| ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| app(X7,cons(X5,cons(X6,X8))) != X0
| X5 = X6 ) ) ) ) )
& ( ( ssItem(sK45(X0))
& ssItem(sK46(X0))
& ssList(sK47(X0))
& ssList(sK48(X0))
& app(sK47(X0),cons(sK45(X0),cons(sK46(X0),sK48(X0)))) = X0
& sK45(X0) != sK46(X0) )
| equalelemsP(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45,sK46,sK47,sK48]),skolemize(X1,sK45(X0)),skolemize(X2,sK46(X0)),skolemize(X3,sK47(X0)),skolemize(X4,sK48(X0))],[f271]) ).
fof(f274,plain,
! [X0] :
( ~ ssList(X0)
| ( cons(sK50(X0),sK49(X0)) = X0
& ssItem(sK50(X0))
& ssList(sK49(X0)) )
| nil = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK49,sK50]),skolemize(X1,sK49(X0)),skolemize(X2,sK50(X0))],[f124]) ).
fof(f275,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ geq(X0,X1)
| leq(X1,X0) )
& ( ~ leq(X1,X0)
| geq(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f140]) ).
fof(f276,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ gt(X0,X1)
| lt(X1,X0) )
& ( ~ lt(X1,X0)
| gt(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f145]) ).
fof(f277,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( ~ memberP(app(X1,X2),X0)
| memberP(X2,X0)
| memberP(X1,X0) )
& ( ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) )
| memberP(app(X1,X2),X0) ) ) ) ) ),
inference(nnf_transformation,[],[f146]) ).
fof(f278,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( ~ memberP(app(X1,X2),X0)
| memberP(X2,X0)
| memberP(X1,X0) )
& ( ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) )
| memberP(app(X1,X2),X0) ) ) ) ) ),
inference(flattening,[],[f277]) ).
fof(f279,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( ~ memberP(cons(X1,X2),X0)
| memberP(X2,X0)
| X0 = X1 )
& ( ( ~ memberP(X2,X0)
& X0 != X1 )
| memberP(cons(X1,X2),X0) ) ) ) ) ),
inference(nnf_transformation,[],[f147]) ).
fof(f280,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( ~ memberP(cons(X1,X2),X0)
| memberP(X2,X0)
| X0 = X1 )
& ( ( ~ memberP(X2,X0)
& X0 != X1 )
| memberP(cons(X1,X2),X0) ) ) ) ) ),
inference(flattening,[],[f279]) ).
fof(f281,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| ( ( ~ frontsegP(cons(X0,X2),cons(X1,X3))
| ( frontsegP(X2,X3)
& X0 = X1 ) )
& ( ~ frontsegP(X2,X3)
| X0 != X1
| frontsegP(cons(X0,X2),cons(X1,X3)) ) ) ) ) ) ),
inference(nnf_transformation,[],[f156]) ).
fof(f282,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| ( ( ~ frontsegP(cons(X0,X2),cons(X1,X3))
| ( frontsegP(X2,X3)
& X0 = X1 ) )
& ( ~ frontsegP(X2,X3)
| X0 != X1
| frontsegP(cons(X0,X2),cons(X1,X3)) ) ) ) ) ) ),
inference(flattening,[],[f281]) ).
fof(f283,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ frontsegP(nil,X0)
| nil = X0 )
& ( nil != X0
| frontsegP(nil,X0) ) ) ),
inference(nnf_transformation,[],[f158]) ).
fof(f284,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ rearsegP(nil,X0)
| nil = X0 )
& ( nil != X0
| rearsegP(nil,X0) ) ) ),
inference(nnf_transformation,[],[f167]) ).
fof(f285,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ segmentP(nil,X0)
| nil = X0 )
& ( nil != X0
| segmentP(nil,X0) ) ) ),
inference(nnf_transformation,[],[f176]) ).
fof(f286,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ totalorderedP(cons(X0,X1))
| ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 )
& ( ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 )
| totalorderedP(cons(X0,X1)) ) ) ) ),
inference(nnf_transformation,[],[f181]) ).
fof(f287,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ totalorderedP(cons(X0,X1))
| ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 )
& ( ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 )
| totalorderedP(cons(X0,X1)) ) ) ) ),
inference(flattening,[],[f286]) ).
fof(f288,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ strictorderedP(cons(X0,X1))
| ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 )
& ( ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 )
| strictorderedP(cons(X0,X1)) ) ) ) ),
inference(nnf_transformation,[],[f183]) ).
fof(f289,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ strictorderedP(cons(X0,X1))
| ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 )
& ( ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 )
| strictorderedP(cons(X0,X1)) ) ) ) ),
inference(flattening,[],[f288]) ).
fof(f290,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ( hd(X0) = sK51(X0)
& ssItem(sK51(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK51]),skolemize(X1,sK51(X0))],[f187]) ).
fof(f291,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ( tl(X0) = sK52(X0)
& ssList(sK52(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52]),skolemize(X1,sK52(X0))],[f189]) ).
fof(f292,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( nil != app(X0,X1)
| ( nil = X0
& nil = X1 ) )
& ( nil != X0
| nil != X1
| nil = app(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f200]) ).
fof(f293,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( nil != app(X0,X1)
| ( nil = X0
& nil = X1 ) )
& ( nil != X0
| nil != X1
| nil = app(X0,X1) ) ) ) ),
inference(flattening,[],[f292]) ).
fof(f294,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ lt(X0,X1)
| ( leq(X0,X1)
& X0 != X1 ) )
& ( ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f216]) ).
fof(f295,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ lt(X0,X1)
| ( leq(X0,X1)
& X0 != X1 ) )
& ( ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ) ) ) ),
inference(flattening,[],[f294]) ).
fof(f296,plain,
( ssList(sK53)
& ssList(sK54)
& ssList(sK55)
& ssList(sK56)
& ssItem(sK57)
& ssItem(sK58)
& ssList(sK59)
& ssList(sK60)
& ~ neq(sK57,sK58)
& sK53 = app(app(app(sK59,cons(sK57,nil)),cons(sK58,nil)),sK60)
& singletonP(sK55)
& sK53 = sK55
& sK54 = sK56 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56),skolemize(X4,sK57),skolemize(X5,sK58),skolemize(X6,sK59),skolemize(X7,sK60)],[f222]) ).
fof(f298,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| X0 = X1
| neq(X0,X1) ),
inference(cnf_transformation,[],[f232]) ).
fof(f299,plain,
sK6 != sK7,
inference(cnf_transformation,[],[f233]) ).
fof(f300,plain,
ssItem(sK7),
inference(cnf_transformation,[],[f233]) ).
fof(f301,plain,
ssItem(sK6),
inference(cnf_transformation,[],[f233]) ).
fof(f302,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| app(sK8(X0,X1),cons(X1,sK9(X0,X1))) = X0 ),
inference(cnf_transformation,[],[f236]) ).
fof(f303,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| ssList(sK9(X0,X1)) ),
inference(cnf_transformation,[],[f236]) ).
fof(f304,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| ssList(sK8(X0,X1)) ),
inference(cnf_transformation,[],[f236]) ).
fof(f305,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| app(X2,cons(X1,X3)) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| memberP(X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f306,plain,
! [X0] :
( ~ ssList(X0)
| ~ singletonP(X0)
| cons(sK10(X0),nil) = X0 ),
inference(cnf_transformation,[],[f239]) ).
fof(f307,plain,
! [X0] :
( ~ ssList(X0)
| ~ singletonP(X0)
| ssItem(sK10(X0)) ),
inference(cnf_transformation,[],[f239]) ).
fof(f308,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(X1,nil) != X0
| ~ ssItem(X1)
| singletonP(X0) ),
inference(cnf_transformation,[],[f239]) ).
fof(f309,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| app(X1,sK11(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f242]) ).
fof(f310,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ssList(sK11(X0,X1)) ),
inference(cnf_transformation,[],[f242]) ).
fof(f311,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X2) != X0
| ~ ssList(X2)
| frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f242]) ).
fof(f312,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| app(sK12(X0,X1),X1) = X0 ),
inference(cnf_transformation,[],[f245]) ).
fof(f313,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ssList(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f245]) ).
fof(f314,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X2,X1) != X0
| ~ ssList(X2)
| rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f245]) ).
fof(f315,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| app(app(sK13(X0,X1),X1),sK14(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f248]) ).
fof(f316,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| ssList(sK14(X0,X1)) ),
inference(cnf_transformation,[],[f248]) ).
fof(f317,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| ssList(sK13(X0,X1)) ),
inference(cnf_transformation,[],[f248]) ).
fof(f318,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| segmentP(X0,X1) ),
inference(cnf_transformation,[],[f248]) ).
fof(f319,plain,
! [X0] :
( ~ sP1(X0)
| ~ cyclefreeP(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f249]) ).
fof(f330,plain,
! [X0] :
( ~ ssList(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f331,plain,
! [X0] :
( ~ sP3(X0)
| ~ totalorderP(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f253]) ).
fof(f342,plain,
! [X0] :
( ~ ssList(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f343,plain,
! [X0] :
( ~ sP5(X0)
| ~ strictorderP(X0)
| sP4(X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f354,plain,
! [X0] :
( ~ ssList(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f355,plain,
! [X10,X0,X8,X6,X9,X7] :
( ~ ssList(X0)
| ~ totalorderedP(X0)
| ~ ssItem(X6)
| ~ ssItem(X7)
| ~ ssList(X8)
| ~ ssList(X9)
| ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| leq(X6,X7) ),
inference(cnf_transformation,[],[f263]) ).
fof(f356,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK30(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f357,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK31(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f358,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK32(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f359,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK33(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f360,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK34(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f361,plain,
! [X0] :
( ~ ssList(X0)
| app(app(sK32(X0),cons(sK30(X0),sK33(X0))),cons(sK31(X0),sK34(X0))) = X0
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f362,plain,
! [X0] :
( ~ ssList(X0)
| ~ leq(sK30(X0),sK31(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f363,plain,
! [X10,X0,X8,X6,X9,X7] :
( ~ ssList(X0)
| ~ strictorderedP(X0)
| ~ ssItem(X6)
| ~ ssItem(X7)
| ~ ssList(X8)
| ~ ssList(X9)
| ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| lt(X6,X7) ),
inference(cnf_transformation,[],[f266]) ).
fof(f364,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK35(X0))
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f365,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK36(X0))
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f366,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK37(X0))
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f367,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK38(X0))
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f368,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK39(X0))
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f369,plain,
! [X0] :
( ~ ssList(X0)
| app(app(sK37(X0),cons(sK35(X0),sK38(X0))),cons(sK36(X0),sK39(X0))) = X0
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f370,plain,
! [X0] :
( ~ ssList(X0)
| ~ lt(sK35(X0),sK36(X0))
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f372,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK40(X0))
| duplicatefreeP(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f373,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK41(X0))
| duplicatefreeP(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f374,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK42(X0))
| duplicatefreeP(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f375,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK43(X0))
| duplicatefreeP(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f376,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK44(X0))
| duplicatefreeP(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f377,plain,
! [X0] :
( ~ ssList(X0)
| app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),sK44(X0))) = X0
| duplicatefreeP(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f378,plain,
! [X0] :
( ~ ssList(X0)
| sK40(X0) = sK41(X0)
| duplicatefreeP(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f379,plain,
! [X0,X8,X6,X7,X5] :
( ~ ssList(X0)
| ~ equalelemsP(X0)
| ~ ssItem(X5)
| ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| app(X7,cons(X5,cons(X6,X8))) != X0
| X5 = X6 ),
inference(cnf_transformation,[],[f272]) ).
fof(f380,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK45(X0))
| equalelemsP(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f381,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK46(X0))
| equalelemsP(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f382,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK47(X0))
| equalelemsP(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f383,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK48(X0))
| equalelemsP(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f384,plain,
! [X0] :
( ~ ssList(X0)
| app(sK47(X0),cons(sK45(X0),cons(sK46(X0),sK48(X0)))) = X0
| equalelemsP(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f385,plain,
! [X0] :
( ~ ssList(X0)
| sK45(X0) != sK46(X0)
| equalelemsP(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f388,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
inference(cnf_transformation,[],[f119]) ).
fof(f389,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f390,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) != X0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f391,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| cons(X2,X0) != cons(X3,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f122]) ).
fof(f392,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| cons(X2,X0) != cons(X3,X1)
| X2 = X3 ),
inference(cnf_transformation,[],[f122]) ).
fof(f393,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK50(X0),sK49(X0)) = X0
| nil = X0 ),
inference(cnf_transformation,[],[f274]) ).
fof(f394,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK50(X0))
| nil = X0 ),
inference(cnf_transformation,[],[f274]) ).
fof(f395,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK49(X0))
| nil = X0 ),
inference(cnf_transformation,[],[f274]) ).
fof(f396,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| nil != cons(X1,X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f397,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
inference(cnf_transformation,[],[f127]) ).
fof(f398,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
inference(cnf_transformation,[],[f128]) ).
fof(f399,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
inference(cnf_transformation,[],[f130]) ).
fof(f400,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f401,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f132]) ).
fof(f402,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f403,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f134]) ).
fof(f404,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f136]) ).
fof(f405,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(cnf_transformation,[],[f138]) ).
fof(f406,plain,
! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f407,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X0,X1)
| leq(X1,X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f408,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X1,X0)
| geq(X0,X1) ),
inference(cnf_transformation,[],[f275]) ).
fof(f409,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ lt(X1,X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f410,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| lt(X0,X2) ),
inference(cnf_transformation,[],[f144]) ).
fof(f411,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1)
| lt(X1,X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f412,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X0)
| gt(X0,X1) ),
inference(cnf_transformation,[],[f276]) ).
fof(f413,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(app(X1,X2),X0)
| memberP(X2,X0)
| memberP(X1,X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f414,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(X2,X0)
| memberP(app(X1,X2),X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f415,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(X1,X0)
| memberP(app(X1,X2),X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f416,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ memberP(cons(X1,X2),X0)
| memberP(X2,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f280]) ).
fof(f417,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ memberP(X2,X0)
| memberP(cons(X1,X2),X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f419,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f420,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f421,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ),
inference(cnf_transformation,[],[f150]) ).
fof(f422,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f152]) ).
fof(f423,plain,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f424,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f425,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ frontsegP(cons(X0,X2),cons(X1,X3))
| frontsegP(X2,X3) ),
inference(cnf_transformation,[],[f282]) ).
fof(f426,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ frontsegP(cons(X0,X2),cons(X1,X3))
| X0 = X1 ),
inference(cnf_transformation,[],[f282]) ).
fof(f428,plain,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
inference(cnf_transformation,[],[f157]) ).
fof(f429,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ),
inference(cnf_transformation,[],[f283]) ).
fof(f430,plain,
! [X0] :
( ~ ssList(X0)
| nil != X0
| frontsegP(nil,X0) ),
inference(cnf_transformation,[],[f283]) ).
fof(f431,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f432,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f162]) ).
fof(f433,plain,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f434,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f435,plain,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ),
inference(cnf_transformation,[],[f166]) ).
fof(f436,plain,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| nil = X0 ),
inference(cnf_transformation,[],[f284]) ).
fof(f437,plain,
! [X0] :
( ~ ssList(X0)
| nil != X0
| rearsegP(nil,X0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f438,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f439,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f171]) ).
fof(f440,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f441,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X2,X0),X3),X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f442,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
inference(cnf_transformation,[],[f175]) ).
fof(f443,plain,
! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ),
inference(cnf_transformation,[],[f285]) ).
fof(f444,plain,
! [X0] :
( ~ ssList(X0)
| nil != X0
| segmentP(nil,X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f445,plain,
! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f446,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f447,plain,
! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f178]) ).
fof(f448,plain,
totalorderP(nil),
inference(cnf_transformation,[],[f62]) ).
fof(f449,plain,
! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f179]) ).
fof(f450,plain,
strictorderP(nil),
inference(cnf_transformation,[],[f64]) ).
fof(f451,plain,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f180]) ).
fof(f452,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
fof(f453,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ totalorderedP(cons(X0,X1))
| leq(X0,hd(X1))
| nil = X1 ),
inference(cnf_transformation,[],[f287]) ).
fof(f454,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ totalorderedP(cons(X0,X1))
| totalorderedP(X1)
| nil = X1 ),
inference(cnf_transformation,[],[f287]) ).
fof(f456,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1
| totalorderedP(cons(X0,X1)) ),
inference(cnf_transformation,[],[f287]) ).
fof(f458,plain,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f182]) ).
fof(f459,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f460,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ strictorderedP(cons(X0,X1))
| lt(X0,hd(X1))
| nil = X1 ),
inference(cnf_transformation,[],[f289]) ).
fof(f461,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ strictorderedP(cons(X0,X1))
| strictorderedP(X1)
| nil = X1 ),
inference(cnf_transformation,[],[f289]) ).
fof(f463,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1
| strictorderedP(cons(X0,X1)) ),
inference(cnf_transformation,[],[f289]) ).
fof(f465,plain,
! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f184]) ).
fof(f466,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f72]) ).
fof(f467,plain,
! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f185]) ).
fof(f468,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f74]) ).
fof(f469,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| hd(X0) = sK51(X0) ),
inference(cnf_transformation,[],[f290]) ).
fof(f470,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(sK51(X0)) ),
inference(cnf_transformation,[],[f290]) ).
fof(f471,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| tl(X0) = sK52(X0) ),
inference(cnf_transformation,[],[f291]) ).
fof(f472,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(sK52(X0)) ),
inference(cnf_transformation,[],[f291]) ).
fof(f473,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| tl(X0) != tl(X1)
| hd(X0) != hd(X1)
| nil = X0
| nil = X1
| X0 = X1 ),
inference(cnf_transformation,[],[f191]) ).
fof(f474,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f193]) ).
fof(f475,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X2,X1) != app(X0,X1)
| X0 = X2 ),
inference(cnf_transformation,[],[f195]) ).
fof(f476,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X1,X2) != app(X1,X0)
| X0 = X2 ),
inference(cnf_transformation,[],[f197]) ).
fof(f477,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f478,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X1),X2) = app(X0,app(X1,X2)) ),
inference(cnf_transformation,[],[f199]) ).
fof(f479,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil != app(X0,X1)
| nil = X0 ),
inference(cnf_transformation,[],[f293]) ).
fof(f480,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil != app(X0,X1)
| nil = X1 ),
inference(cnf_transformation,[],[f293]) ).
fof(f482,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f201]) ).
fof(f483,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X0
| hd(X0) = hd(app(X0,X1)) ),
inference(cnf_transformation,[],[f203]) ).
fof(f484,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X0
| tl(app(X0,X1)) = app(tl(X0),X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f485,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f207]) ).
fof(f486,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| geq(X0,X2) ),
inference(cnf_transformation,[],[f209]) ).
fof(f487,plain,
! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f489,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| lt(X0,X2) ),
inference(cnf_transformation,[],[f213]) ).
fof(f491,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f295]) ).
fof(f493,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ),
inference(cnf_transformation,[],[f295]) ).
fof(f494,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1)
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f495,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| gt(X0,X2) ),
inference(cnf_transformation,[],[f220]) ).
fof(f496,plain,
ssList(sK53),
inference(cnf_transformation,[],[f296]) ).
fof(f497,plain,
ssList(sK54),
inference(cnf_transformation,[],[f296]) ).
fof(f500,plain,
ssItem(sK57),
inference(cnf_transformation,[],[f296]) ).
fof(f501,plain,
ssItem(sK58),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
ssList(sK59),
inference(cnf_transformation,[],[f296]) ).
fof(f503,plain,
ssList(sK60),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
~ neq(sK57,sK58),
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
sK53 = app(app(app(sK59,cons(sK57,nil)),cons(sK58,nil)),sK60),
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
singletonP(sK55),
inference(cnf_transformation,[],[f296]) ).
fof(f507,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f508,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f509,plain,
sK55 = app(app(app(sK59,cons(sK57,nil)),cons(sK58,nil)),sK60),
inference(definition_unfolding,[],[f505,f507]) ).
fof(f510,plain,
ssList(sK56),
inference(definition_unfolding,[],[f497,f508]) ).
fof(f511,plain,
ssList(sK55),
inference(definition_unfolding,[],[f496,f507]) ).
fof(f513,plain,
! [X2,X3,X1] :
( ~ ssList(app(X2,cons(X1,X3)))
| ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| memberP(app(X2,cons(X1,X3)),X1) ),
inference(equality_resolution,[],[f305]) ).
fof(f514,plain,
! [X1] :
( ~ ssList(cons(X1,nil))
| ~ ssItem(X1)
| singletonP(cons(X1,nil)) ),
inference(equality_resolution,[],[f308]) ).
fof(f515,plain,
! [X2,X1] :
( ~ ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(app(X1,X2),X1) ),
inference(equality_resolution,[],[f311]) ).
fof(f516,plain,
! [X2,X1] :
( ~ ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| rearsegP(app(X2,X1),X1) ),
inference(equality_resolution,[],[f314]) ).
fof(f517,plain,
! [X2,X3,X1] :
( ~ ssList(app(app(X2,X1),X3))
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| segmentP(app(app(X2,X1),X3),X1) ),
inference(equality_resolution,[],[f318]) ).
fof(f521,plain,
! [X10,X8,X6,X9,X7] :
( ~ ssList(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ totalorderedP(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ ssItem(X6)
| ~ ssItem(X7)
| ~ ssList(X8)
| ~ ssList(X9)
| ~ ssList(X10)
| leq(X6,X7) ),
inference(equality_resolution,[],[f355]) ).
fof(f522,plain,
! [X10,X8,X6,X9,X7] :
( ~ ssList(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ strictorderedP(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ ssItem(X6)
| ~ ssItem(X7)
| ~ ssList(X8)
| ~ ssList(X9)
| ~ ssList(X10)
| lt(X6,X7) ),
inference(equality_resolution,[],[f363]) ).
fof(f525,plain,
! [X8,X6,X7,X5] :
( ~ ssList(app(X7,cons(X5,cons(X6,X8))))
| ~ equalelemsP(app(X7,cons(X5,cons(X6,X8))))
| ~ ssItem(X5)
| ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| X5 = X6 ),
inference(equality_resolution,[],[f379]) ).
fof(f529,plain,
( ~ ssList(nil)
| frontsegP(nil,nil) ),
inference(equality_resolution,[],[f430]) ).
fof(f530,plain,
( ~ ssList(nil)
| rearsegP(nil,nil) ),
inference(equality_resolution,[],[f437]) ).
fof(f531,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f444]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( neq(X0,X1)
| ( X0 = X1 )
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_51,plain,
ssItem(sK6),
inference(cnf_transformation,[],[f301]) ).
tcf(c_52,plain,
ssItem(sK7),
inference(cnf_transformation,[],[f300]) ).
tcf(c_53,plain,
sK6 != sK7,
inference(cnf_transformation,[],[f299]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,cons(X1,X2)),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2))) ),
inference(cnf_transformation,[],[f513]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( ssList(sK8(X0,X1))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f304]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( ssList(sK9(X0,X1))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f303]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( ( app(sK8(X0,X1),cons(X1,sK9(X0,X1))) = X0 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f302]) ).
tcf(c_58,plain,
! [X0: $i] :
( singletonP(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(cnf_transformation,[],[f514]) ).
tcf(c_59,plain,
! [X0: $i] :
( ssItem(sK10(X0))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f307]) ).
tcf(c_60,plain,
! [X0: $i] :
( ( cons(sK10(X0),nil) = X0 )
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f306]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f515]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( ssList(sK11(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( ( app(X1,sK11(X0,X1)) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f516]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( ssList(sK12(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( ( app(sK12(X0,X1),X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(cnf_transformation,[],[f517]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( ssList(sK13(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f317]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] :
( ssList(sK14(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK13(X0,X1),X1),sK14(X0,X1)) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_72,plain,
! [X0: $i] :
( sP0(X0)
| ~ sP1(X0)
| ~ cyclefreeP(X0) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_82,plain,
! [X0: $i] :
( sP1(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f330]) ).
tcf(c_84,plain,
! [X0: $i] :
( sP2(X0)
| ~ sP3(X0)
| ~ totalorderP(X0) ),
inference(cnf_transformation,[],[f331]) ).
tcf(c_94,plain,
! [X0: $i] :
( sP3(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f342]) ).
tcf(c_96,plain,
! [X0: $i] :
( sP4(X0)
| ~ sP5(X0)
| ~ strictorderP(X0) ),
inference(cnf_transformation,[],[f343]) ).
tcf(c_106,plain,
! [X0: $i] :
( sP5(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f354]) ).
tcf(c_107,plain,
! [X0: $i] :
( totalorderedP(X0)
| ~ ssList(X0)
| ~ leq(sK30(X0),sK31(X0)) ),
inference(cnf_transformation,[],[f362]) ).
tcf(c_108,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK32(X0),cons(sK30(X0),sK33(X0))),cons(sK31(X0),sK34(X0))) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f361]) ).
tcf(c_109,plain,
! [X0: $i] :
( totalorderedP(X0)
| ssList(sK34(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f360]) ).
tcf(c_110,plain,
! [X0: $i] :
( totalorderedP(X0)
| ssList(sK33(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f359]) ).
tcf(c_111,plain,
! [X0: $i] :
( totalorderedP(X0)
| ssList(sK32(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f358]) ).
tcf(c_112,plain,
! [X0: $i] :
( totalorderedP(X0)
| ssItem(sK31(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f357]) ).
tcf(c_113,plain,
! [X0: $i] :
( totalorderedP(X0)
| ssItem(sK30(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f356]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X3)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4))) ),
inference(cnf_transformation,[],[f521]) ).
tcf(c_115,plain,
! [X0: $i] :
( strictorderedP(X0)
| ~ ssList(X0)
| ~ lt(sK35(X0),sK36(X0)) ),
inference(cnf_transformation,[],[f370]) ).
tcf(c_116,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK37(X0),cons(sK35(X0),sK38(X0))),cons(sK36(X0),sK39(X0))) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f369]) ).
tcf(c_117,plain,
! [X0: $i] :
( strictorderedP(X0)
| ssList(sK39(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f368]) ).
tcf(c_118,plain,
! [X0: $i] :
( strictorderedP(X0)
| ssList(sK38(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f367]) ).
tcf(c_119,plain,
! [X0: $i] :
( strictorderedP(X0)
| ssList(sK37(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f366]) ).
tcf(c_120,plain,
! [X0: $i] :
( strictorderedP(X0)
| ssItem(sK36(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f365]) ).
tcf(c_121,plain,
! [X0: $i] :
( strictorderedP(X0)
| ssItem(sK35(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f364]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X3)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4))) ),
inference(cnf_transformation,[],[f522]) ).
tcf(c_123,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( sK40(X0) = sK41(X0) )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f378]) ).
tcf(c_124,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),sK44(X0))) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f377]) ).
tcf(c_125,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ssList(sK44(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f376]) ).
tcf(c_126,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ssList(sK43(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f375]) ).
tcf(c_127,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ssList(sK42(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f374]) ).
tcf(c_128,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ssItem(sK41(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f373]) ).
tcf(c_129,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ssItem(sK40(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f372]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3))) ),
inference(cnf_transformation,[],[f540]) ).
tcf(c_131,plain,
! [X0: $i] :
( equalelemsP(X0)
| ~ ssList(X0)
| ( sK45(X0) != sK46(X0) ) ),
inference(cnf_transformation,[],[f385]) ).
tcf(c_132,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(sK47(X0),cons(sK45(X0),cons(sK46(X0),sK48(X0)))) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f384]) ).
tcf(c_133,plain,
! [X0: $i] :
( equalelemsP(X0)
| ssList(sK48(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f383]) ).
tcf(c_134,plain,
! [X0: $i] :
( equalelemsP(X0)
| ssList(sK47(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f382]) ).
tcf(c_135,plain,
! [X0: $i] :
( equalelemsP(X0)
| ssItem(sK46(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f381]) ).
tcf(c_136,plain,
! [X0: $i] :
( equalelemsP(X0)
| ssItem(sK45(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f380]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ equalelemsP(app(X0,cons(X1,cons(X2,X3))))
| ~ ssList(app(X0,cons(X1,cons(X2,X3)))) ),
inference(cnf_transformation,[],[f525]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f388]) ).
tcf(c_141,plain,
ssList(nil),
inference(cnf_transformation,[],[f389]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f390]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ( cons(X0,X1) != cons(X2,X3) ) ),
inference(cnf_transformation,[],[f392]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ( cons(X0,X1) != cons(X2,X3) ) ),
inference(cnf_transformation,[],[f391]) ).
tcf(c_145,plain,
! [X0: $i] :
( ssList(sK49(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f395]) ).
tcf(c_146,plain,
! [X0: $i] :
( ssItem(sK50(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f394]) ).
tcf(c_147,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK50(X0),sK49(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f393]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f396]) ).
tcf(c_149,plain,
! [X0: $i] :
( ssItem(hd(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f397]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(X0,X1)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f398]) ).
tcf(c_151,plain,
! [X0: $i] :
( ssList(tl(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f399]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(X0,X1)) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f400]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f401]) ).
tcf(c_154,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X0,app(X2,X1)) = app(cons(X0,X2),X1) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f402]) ).
tcf(c_155,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f403]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f404]) ).
tcf(c_157,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f405]) ).
tcf(c_158,plain,
! [X0: $i] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f406]) ).
tcf(c_159,plain,
! [X0: $i,X1: $i] :
( geq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f408]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X0,X1) ),
inference(cnf_transformation,[],[f407]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[],[f409]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X0,X2)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X2)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[],[f410]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i] :
( gt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[],[f412]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i] :
( lt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f411]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f415]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X2,X0),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f414]) ).
tcf(c_167,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X1,X2)
| memberP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| ~ memberP(app(X0,X1),X2) ),
inference(cnf_transformation,[],[f413]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i] :
( memberP(cons(X0,X1),X0)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f542]) ).
tcf(c_169,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(cons(X2,X0),X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f417]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X1,X2)
| ( X0 = X2 )
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ memberP(cons(X0,X1),X2) ),
inference(cnf_transformation,[],[f416]) ).
tcf(c_171,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[],[f419]) ).
tcf(c_172,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f420]) ).
tcf(c_173,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X0,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f421]) ).
tcf(c_174,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f422]) ).
tcf(c_175,plain,
! [X0: $i] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f423]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f424]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(cons(X2,X0),cons(X2,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f543]) ).
tcf(c_178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
inference(cnf_transformation,[],[f426]) ).
tcf(c_179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(X1,X3)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
inference(cnf_transformation,[],[f425]) ).
tcf(c_180,plain,
! [X0: $i] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f428]) ).
tcf(c_181,plain,
( frontsegP(nil,nil)
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f529]) ).
tcf(c_182,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(cnf_transformation,[],[f429]) ).
tcf(c_183,plain,
! [X0: $i,X1: $i,X2: $i] :
( rearsegP(X0,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f431]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f432]) ).
tcf(c_185,plain,
! [X0: $i] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f433]) ).
tcf(c_186,plain,
! [X0: $i,X1: $i,X2: $i] :
( rearsegP(app(X2,X0),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f434]) ).
tcf(c_187,plain,
! [X0: $i] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f435]) ).
tcf(c_188,plain,
( rearsegP(nil,nil)
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f530]) ).
tcf(c_189,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(cnf_transformation,[],[f436]) ).
tcf(c_190,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(X0,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f438]) ).
tcf(c_191,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f439]) ).
tcf(c_192,plain,
! [X0: $i] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f440]) ).
tcf(c_193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f441]) ).
tcf(c_194,plain,
! [X0: $i] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f442]) ).
tcf(c_195,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f531]) ).
tcf(c_196,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(cnf_transformation,[],[f443]) ).
tcf(c_197,plain,
! [X0: $i] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f445]) ).
tcf(c_198,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f446]) ).
tcf(c_199,plain,
! [X0: $i] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f447]) ).
tcf(c_200,plain,
totalorderP(nil),
inference(cnf_transformation,[],[f448]) ).
tcf(c_201,plain,
! [X0: $i] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f449]) ).
tcf(c_202,plain,
strictorderP(nil),
inference(cnf_transformation,[],[f450]) ).
tcf(c_203,plain,
! [X0: $i] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f451]) ).
tcf(c_204,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f452]) ).
tcf(c_206,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X0,X1))
| ( X1 = nil )
| ~ totalorderedP(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(X0,hd(X1)) ),
inference(cnf_transformation,[],[f456]) ).
tcf(c_207,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X1)
| ( X1 = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(cons(X0,X1)) ),
inference(cnf_transformation,[],[f454]) ).
tcf(c_208,plain,
! [X0: $i,X1: $i] :
( leq(X0,hd(X1))
| ( X1 = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(cons(X0,X1)) ),
inference(cnf_transformation,[],[f453]) ).
tcf(c_209,plain,
! [X0: $i] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f458]) ).
tcf(c_210,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f459]) ).
tcf(c_212,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X0,X1))
| ( X1 = nil )
| ~ strictorderedP(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ lt(X0,hd(X1)) ),
inference(cnf_transformation,[],[f463]) ).
tcf(c_213,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X1)
| ( X1 = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(cons(X0,X1)) ),
inference(cnf_transformation,[],[f461]) ).
tcf(c_214,plain,
! [X0: $i,X1: $i] :
( lt(X0,hd(X1))
| ( X1 = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(cons(X0,X1)) ),
inference(cnf_transformation,[],[f460]) ).
tcf(c_215,plain,
! [X0: $i] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f465]) ).
tcf(c_216,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f466]) ).
tcf(c_217,plain,
! [X0: $i] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f467]) ).
tcf(c_218,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f468]) ).
tcf(c_219,plain,
! [X0: $i] :
( ssItem(sK51(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f470]) ).
tcf(c_220,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(X0) = sK51(X0) )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f469]) ).
tcf(c_221,plain,
! [X0: $i] :
( ssList(sK52(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f472]) ).
tcf(c_222,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(X0) = sK52(X0) )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f471]) ).
tcf(c_223,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( X0 = nil )
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( tl(X0) != tl(X1) )
| ( hd(X0) != hd(X1) ) ),
inference(cnf_transformation,[],[f473]) ).
tcf(c_224,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(hd(X0),tl(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f474]) ).
tcf(c_225,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != app(X2,X1) ) ),
inference(cnf_transformation,[],[f475]) ).
tcf(c_226,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != app(X0,X2) ) ),
inference(cnf_transformation,[],[f476]) ).
tcf(c_227,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X0,nil),X1) = cons(X0,X1) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f477]) ).
tcf(c_228,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X0,X1),X2) = app(X0,app(X1,X2)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f478]) ).
tcf(c_229,plain,
( ( app(nil,nil) = nil )
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f544]) ).
tcf(c_230,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f480]) ).
tcf(c_231,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f479]) ).
tcf(c_232,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f482]) ).
tcf(c_233,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( hd(app(X0,X1)) = hd(X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f483]) ).
tcf(c_234,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( app(tl(X0),X1) = tl(app(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f484]) ).
tcf(c_235,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X0)
| ~ geq(X0,X1) ),
inference(cnf_transformation,[],[f485]) ).
tcf(c_236,plain,
! [X0: $i,X1: $i,X2: $i] :
( geq(X0,X2)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X2)
| ~ geq(X0,X1) ),
inference(cnf_transformation,[],[f486]) ).
tcf(c_237,plain,
! [X0: $i] :
( geq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f487]) ).
tcf(c_239,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X0,X2)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f489]) ).
tcf(c_241,plain,
! [X0: $i,X1: $i] :
( lt(X0,X1)
| ( X0 = X1 )
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f493]) ).
tcf(c_242,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ),
inference(cnf_transformation,[],[f545]) ).
tcf(c_243,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[],[f491]) ).
tcf(c_244,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f494]) ).
tcf(c_245,plain,
! [X0: $i,X1: $i,X2: $i] :
( gt(X0,X2)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f495]) ).
tcf(c_246,negated_conjecture,
singletonP(sK55),
inference(cnf_transformation,[],[f506]) ).
tcf(c_247,negated_conjecture,
app(app(app(sK59,cons(sK57,nil)),cons(sK58,nil)),sK60) = sK55,
inference(cnf_transformation,[],[f509]) ).
tcf(c_248,negated_conjecture,
~ neq(sK57,sK58),
inference(cnf_transformation,[],[f504]) ).
tcf(c_249,negated_conjecture,
ssList(sK60),
inference(cnf_transformation,[],[f503]) ).
tcf(c_250,negated_conjecture,
ssList(sK59),
inference(cnf_transformation,[],[f502]) ).
tcf(c_251,negated_conjecture,
ssItem(sK58),
inference(cnf_transformation,[],[f501]) ).
tcf(c_252,negated_conjecture,
ssItem(sK57),
inference(cnf_transformation,[],[f500]) ).
tcf(c_255,negated_conjecture,
ssList(sK56),
inference(cnf_transformation,[],[f510]) ).
tcf(c_256,negated_conjecture,
ssList(sK55),
inference(cnf_transformation,[],[f511]) ).
tcf(c_257,plain,
( sP5(nil)
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_263,plain,
( sP3(nil)
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_269,plain,
( sP1(nil)
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_292,plain,
( sP4(nil)
| ~ sP5(nil)
| ~ strictorderP(nil) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_295,plain,
( sP2(nil)
| ~ sP3(nil)
| ~ totalorderP(nil) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_296,plain,
( sP0(nil)
| ~ sP1(nil)
| ~ cyclefreeP(nil) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_297,plain,
( ( app(nil,nil) = nil )
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_232]) ).
tcf(c_323,plain,
( ssList(sK12(nil,nil))
| ~ ssList(nil)
| ~ rearsegP(nil,nil) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_324,plain,
( ssList(sK11(nil,nil))
| ~ ssList(nil)
| ~ frontsegP(nil,nil) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_363,plain,
segmentP(nil,nil),
inference(global_subsumption_just,[status(thm)],[c_195,c_141,c_195]) ).
tcf(c_365,plain,
rearsegP(nil,nil),
inference(global_subsumption_just,[status(thm)],[c_188,c_141,c_188]) ).
tcf(c_367,plain,
frontsegP(nil,nil),
inference(global_subsumption_just,[status(thm)],[c_181,c_141,c_181]) ).
tcf(c_369,plain,
app(nil,nil) = nil,
inference(global_subsumption_just,[status(thm)],[c_229,c_141,c_297]) ).
tcf(c_375,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_378,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_2996,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ~ cyclefreeP(X1)
| ~ ssList(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_82,c_72]) ).
tcf(c_2997,plain,
! [X0: $i] :
( sP0(X0)
| ~ cyclefreeP(X0)
| ~ ssList(X0) ),
inference(unflattening,[status(thm)],[c_2996]) ).
tcf(c_3025,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ~ totalorderP(X1)
| ~ ssList(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_94,c_84]) ).
tcf(c_3026,plain,
! [X0: $i] :
( sP2(X0)
| ~ totalorderP(X0)
| ~ ssList(X0) ),
inference(unflattening,[status(thm)],[c_3025]) ).
tcf(c_3054,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ~ strictorderP(X1)
| ~ ssList(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_106,c_96]) ).
tcf(c_3055,plain,
! [X0: $i] :
( sP4(X0)
| ~ strictorderP(X0)
| ~ ssList(X0) ),
inference(unflattening,[status(thm)],[c_3054]) ).
tcf(c_3085,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,nil) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_2997,c_197]) ).
tcf(c_3086,plain,
! [X0: $i] :
( sP0(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(unflattening,[status(thm)],[c_3085]) ).
tcf(c_3097,plain,
! [X0: $i] :
( sP0(X0)
| ~ ssList(X0)
| ( X0 != nil ) ),
inference(resolution_lifted,[status(thm)],[c_2997,c_198]) ).
tcf(c_3098,plain,
( sP0(nil)
| ~ ssList(nil) ),
inference(unflattening,[status(thm)],[c_3097]) ).
tcf(c_3099,plain,
sP0(nil),
inference(global_subsumption_just,[status(thm)],[c_3098,c_198,c_141,c_269,c_296]) ).
tcf(c_3110,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,nil) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_3026,c_199]) ).
tcf(c_3111,plain,
! [X0: $i] :
( sP2(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(unflattening,[status(thm)],[c_3110]) ).
tcf(c_3122,plain,
! [X0: $i] :
( sP2(X0)
| ~ ssList(X0)
| ( X0 != nil ) ),
inference(resolution_lifted,[status(thm)],[c_3026,c_200]) ).
tcf(c_3123,plain,
( sP2(nil)
| ~ ssList(nil) ),
inference(unflattening,[status(thm)],[c_3122]) ).
tcf(c_3124,plain,
sP2(nil),
inference(global_subsumption_just,[status(thm)],[c_3123,c_200,c_141,c_263,c_295]) ).
tcf(c_3135,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,nil) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_3055,c_201]) ).
tcf(c_3136,plain,
! [X0: $i] :
( sP4(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(unflattening,[status(thm)],[c_3135]) ).
tcf(c_3147,plain,
! [X0: $i] :
( sP4(X0)
| ~ ssList(X0)
| ( X0 != nil ) ),
inference(resolution_lifted,[status(thm)],[c_3055,c_202]) ).
tcf(c_3148,plain,
( sP4(nil)
| ~ ssList(nil) ),
inference(unflattening,[status(thm)],[c_3147]) ).
tcf(c_3149,plain,
sP4(nil),
inference(global_subsumption_just,[status(thm)],[c_3148,c_202,c_141,c_257,c_292]) ).
tcf(c_3242,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssItem(X1)
| ~ ssItem(X0)
| ( X1 != sK58 )
| ( X0 != sK57 ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_248]) ).
tcf(c_3243,plain,
( ( sK57 = sK58 )
| ~ ssItem(sK58)
| ~ ssItem(sK57) ),
inference(unflattening,[status(thm)],[c_3242]) ).
tcf(c_3244,plain,
sK57 = sK58,
inference(global_subsumption_just,[status(thm)],[c_3243,c_252,c_251,c_3243]) ).
tcf(c_6538,plain,
app(app(app(sK59,cons(sK57,nil)),cons(sK57,nil)),sK60) = sK55,
inference(light_normalisation,[status(thm)],[c_247,c_3244]) ).
tcf(c_12917,definition,
iPr_def_10 = cons(sK57,nil),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_12918,definition,
iPr_def_11 = app(sK59,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_12919,definition,
iPr_def_12 = app(iPr_def_11,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_12920,definition,
iPr_def_13 = app(iPr_def_12,sK60),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_12921,plain,
iPr_def_13 = sK55,
inference(demodulation,[status(thm)],[c_6538,c_12917,c_12918,c_12919,c_12920]) ).
tcf(c_12922,plain,
sK57 = sK58,
inference(demodulation,[status(thm)],[c_3244]) ).
tcf(c_12923,negated_conjecture,
ssList(sK55),
inference(demodulation,[status(thm)],[c_256]) ).
tcf(c_12924,negated_conjecture,
ssList(sK56),
inference(demodulation,[status(thm)],[c_255]) ).
tcf(c_12925,negated_conjecture,
ssItem(sK57),
inference(demodulation,[status(thm)],[c_252]) ).
tcf(c_12926,negated_conjecture,
ssList(sK59),
inference(demodulation,[status(thm)],[c_250]) ).
tcf(c_12927,negated_conjecture,
ssList(sK60),
inference(demodulation,[status(thm)],[c_249]) ).
tcf(c_12928,negated_conjecture,
singletonP(sK55),
inference(demodulation,[status(thm)],[c_246]) ).
tcf(c_15748,plain,
ssList(iPr_def_13),
inference(light_normalisation,[status(thm)],[c_12923,c_12921]) ).
tcf(c_15749,plain,
singletonP(iPr_def_13),
inference(light_normalisation,[status(thm)],[c_12928,c_12921]) ).
tcf(c_15880,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_10),sK57)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sK57,nil))) ),
inference(superposition,[status(thm)],[c_12917,c_54]) ).
tcf(c_15881,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_10),sK57)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_10)) ),
inference(light_normalisation,[status(thm)],[c_15880,c_12917]) ).
tcf(c_15882,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_10),sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15881,c_141,c_12925]) ).
tcf(c_15919,plain,
( memberP(iPr_def_11,sK57)
| ~ ssList(sK59)
| ~ ssList(app(sK59,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_12918,c_15882]) ).
tcf(c_15920,plain,
( memberP(iPr_def_12,sK57)
| ~ ssList(iPr_def_11)
| ~ ssList(app(iPr_def_11,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_12919,c_15882]) ).
tcf(c_15921,plain,
( memberP(iPr_def_12,sK57)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_15920,c_12919]) ).
tcf(c_15925,plain,
( memberP(iPr_def_11,sK57)
| ~ ssList(iPr_def_11)
| ~ ssList(sK59) ),
inference(light_normalisation,[status(thm)],[c_15919,c_12918]) ).
tcf(c_15926,plain,
( memberP(iPr_def_11,sK57)
| ~ ssList(iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15925,c_12926]) ).
tcf(c_16093,plain,
app(nil,sK60) = sK60,
inference(superposition,[status(thm)],[c_12927,c_155]) ).
tcf(c_16094,plain,
app(nil,sK59) = sK59,
inference(superposition,[status(thm)],[c_12926,c_155]) ).
tcf(c_16095,plain,
app(nil,sK56) = sK56,
inference(superposition,[status(thm)],[c_12924,c_155]) ).
tcf(c_16178,plain,
app(sK60,nil) = sK60,
inference(superposition,[status(thm)],[c_12927,c_232]) ).
tcf(c_16179,plain,
app(sK59,nil) = sK59,
inference(superposition,[status(thm)],[c_12926,c_232]) ).
tcf(c_16180,plain,
app(sK56,nil) = sK56,
inference(superposition,[status(thm)],[c_12924,c_232]) ).
tcf(c_16243,plain,
( ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_12917,c_140]) ).
tcf(c_16244,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_16245,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_16246,plain,
ssList(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_16243,c_141,c_12925]) ).
tcf(c_16260,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(sK49(X0),nil) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_232]) ).
tcf(c_16310,plain,
! [X0: $i] :
( ( app(cons(sK57,X0),nil) = cons(sK57,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12925,c_16244]) ).
tcf(c_16403,plain,
( ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_12918,c_153]) ).
tcf(c_16404,plain,
( ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_12919,c_153]) ).
tcf(c_16418,plain,
( ssList(iPr_def_12)
| ~ ssList(iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16404,c_16246]) ).
tcf(c_16421,plain,
ssList(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_16403,c_16246,c_12926]) ).
tcf(c_16422,plain,
ssList(iPr_def_12),
inference(backward_subsumption_resolution,[status(thm)],[c_16418,c_16421]) ).
tcf(c_16494,plain,
app(cons(sK57,sK60),nil) = cons(sK57,sK60),
inference(superposition,[status(thm)],[c_12927,c_16310]) ).
tcf(c_16495,plain,
app(cons(sK57,sK59),nil) = cons(sK57,sK59),
inference(superposition,[status(thm)],[c_12926,c_16310]) ).
tcf(c_16496,plain,
app(cons(sK57,sK56),nil) = cons(sK57,sK56),
inference(superposition,[status(thm)],[c_12924,c_16310]) ).
tcf(c_16497,plain,
app(cons(sK57,iPr_def_13),nil) = cons(sK57,iPr_def_13),
inference(superposition,[status(thm)],[c_15748,c_16310]) ).
tcf(c_16498,plain,
app(cons(sK57,iPr_def_11),nil) = cons(sK57,iPr_def_11),
inference(superposition,[status(thm)],[c_16421,c_16310]) ).
tcf(c_16499,plain,
app(cons(sK57,iPr_def_12),nil) = cons(sK57,iPr_def_12),
inference(superposition,[status(thm)],[c_16422,c_16310]) ).
tcf(c_16500,plain,
app(cons(sK57,iPr_def_10),nil) = cons(sK57,iPr_def_10),
inference(superposition,[status(thm)],[c_16246,c_16310]) ).
tcf(c_16815,plain,
! [X0: $i] :
( ( app(nil,cons(sK57,X0)) = cons(sK57,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12925,c_16245]) ).
tcf(c_16933,plain,
( rearsegP(iPr_def_13,sK60)
| ~ ssList(iPr_def_12)
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_12920,c_375]) ).
tcf(c_16935,plain,
( rearsegP(sK60,sK60)
| ~ ssList(sK60)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_16093,c_375]) ).
tcf(c_16936,plain,
( rearsegP(sK59,sK59)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_16094,c_375]) ).
tcf(c_16937,plain,
( rearsegP(sK56,sK56)
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_16095,c_375]) ).
tcf(c_16939,plain,
( rearsegP(sK60,nil)
| ~ ssList(sK60)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_16178,c_375]) ).
tcf(c_16940,plain,
( rearsegP(sK59,nil)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_16179,c_375]) ).
tcf(c_16941,plain,
( rearsegP(sK56,nil)
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_16180,c_375]) ).
tcf(c_16948,plain,
( rearsegP(cons(sK57,sK60),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_16494,c_375]) ).
tcf(c_16949,plain,
( rearsegP(cons(sK57,sK59),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_16495,c_375]) ).
tcf(c_16950,plain,
( rearsegP(cons(sK57,sK56),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_16496,c_375]) ).
tcf(c_16951,plain,
( rearsegP(cons(sK57,iPr_def_13),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_16497,c_375]) ).
tcf(c_16952,plain,
( rearsegP(cons(sK57,iPr_def_11),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_16498,c_375]) ).
tcf(c_16953,plain,
( rearsegP(cons(sK57,iPr_def_12),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_16499,c_375]) ).
tcf(c_16954,plain,
( rearsegP(cons(sK57,iPr_def_10),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_16500,c_375]) ).
tcf(c_16961,plain,
rearsegP(sK56,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_16941,c_12924,c_141]) ).
tcf(c_16962,plain,
rearsegP(sK59,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_16940,c_12926,c_141]) ).
tcf(c_16963,plain,
rearsegP(sK60,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_16939,c_12927,c_141]) ).
tcf(c_16965,plain,
rearsegP(sK56,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_16937,c_12924,c_141]) ).
tcf(c_16966,plain,
rearsegP(sK59,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_16936,c_12926,c_141]) ).
tcf(c_16967,plain,
rearsegP(sK60,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_16935,c_12927,c_141]) ).
tcf(c_16969,plain,
rearsegP(iPr_def_13,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_16933,c_16422,c_12927]) ).
tcf(c_16972,plain,
( rearsegP(cons(sK57,iPr_def_10),nil)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16954,c_141]) ).
tcf(c_16975,plain,
( rearsegP(cons(sK57,iPr_def_12),nil)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16953,c_141]) ).
tcf(c_16978,plain,
( rearsegP(cons(sK57,iPr_def_11),nil)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16952,c_141]) ).
tcf(c_16981,plain,
( rearsegP(cons(sK57,iPr_def_13),nil)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16951,c_141]) ).
tcf(c_16984,plain,
( rearsegP(cons(sK57,sK56),nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16950,c_141]) ).
tcf(c_16987,plain,
( rearsegP(cons(sK57,sK59),nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16949,c_141]) ).
tcf(c_16990,plain,
( rearsegP(cons(sK57,sK60),nil)
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16948,c_141]) ).
tcf(c_17044,plain,
( ( nil = iPr_def_13 )
| ( app(sK49(iPr_def_13),nil) = sK49(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_15748,c_16260]) ).
tcf(c_17045,plain,
( ( nil = iPr_def_11 )
| ( app(sK49(iPr_def_11),nil) = sK49(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_16421,c_16260]) ).
tcf(c_17046,plain,
( ( nil = iPr_def_12 )
| ( app(sK49(iPr_def_12),nil) = sK49(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_16422,c_16260]) ).
tcf(c_17047,plain,
( ( nil = iPr_def_10 )
| ( app(sK49(iPr_def_10),nil) = sK49(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_16246,c_16260]) ).
tcf(c_17195,plain,
( frontsegP(iPr_def_11,sK59)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_12918,c_378]) ).
tcf(c_17196,plain,
( frontsegP(iPr_def_12,iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_12919,c_378]) ).
tcf(c_17199,plain,
( frontsegP(sK60,nil)
| ~ ssList(sK60)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_16093,c_378]) ).
tcf(c_17200,plain,
( frontsegP(sK59,nil)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_16094,c_378]) ).
tcf(c_17201,plain,
( frontsegP(sK56,nil)
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_16095,c_378]) ).
tcf(c_17203,plain,
( frontsegP(sK60,sK60)
| ~ ssList(sK60)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_16178,c_378]) ).
tcf(c_17204,plain,
( frontsegP(sK59,sK59)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_16179,c_378]) ).
tcf(c_17205,plain,
( frontsegP(sK56,sK56)
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_16180,c_378]) ).
tcf(c_17225,plain,
frontsegP(sK56,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_17205,c_12924,c_141]) ).
tcf(c_17226,plain,
frontsegP(sK59,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_17204,c_12926,c_141]) ).
tcf(c_17227,plain,
frontsegP(sK60,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_17203,c_12927,c_141]) ).
tcf(c_17229,plain,
frontsegP(sK56,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_17201,c_12924,c_141]) ).
tcf(c_17230,plain,
frontsegP(sK59,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_17200,c_12926,c_141]) ).
tcf(c_17231,plain,
frontsegP(sK60,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_17199,c_12927,c_141]) ).
tcf(c_17234,plain,
frontsegP(iPr_def_12,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_17196,c_16421,c_16246]) ).
tcf(c_17235,plain,
frontsegP(iPr_def_11,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_17195,c_16246,c_12926]) ).
tcf(c_17291,plain,
! [X0: $i] :
( singletonP(cons(X0,nil))
| ~ ssList(nil)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_58]) ).
tcf(c_17295,plain,
! [X0: $i] :
( singletonP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17291,c_141]) ).
tcf(c_17313,plain,
( ( cons(sK10(iPr_def_13),nil) = iPr_def_13 )
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_15749,c_60]) ).
tcf(c_17314,plain,
cons(sK10(iPr_def_13),nil) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_17313,c_15748]) ).
tcf(c_17341,plain,
( ~ ssList(nil)
| ~ ssItem(sK57)
| ( nil != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_12917,c_142]) ).
tcf(c_17342,plain,
nil != iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_17341,c_141,c_12925]) ).
tcf(c_18012,plain,
app(nil,cons(sK57,sK60)) = cons(sK57,sK60),
inference(superposition,[status(thm)],[c_12927,c_16815]) ).
tcf(c_18013,plain,
app(nil,cons(sK57,sK59)) = cons(sK57,sK59),
inference(superposition,[status(thm)],[c_12926,c_16815]) ).
tcf(c_18014,plain,
app(nil,cons(sK57,sK56)) = cons(sK57,sK56),
inference(superposition,[status(thm)],[c_12924,c_16815]) ).
tcf(c_18015,plain,
app(nil,cons(sK57,iPr_def_13)) = cons(sK57,iPr_def_13),
inference(superposition,[status(thm)],[c_15748,c_16815]) ).
tcf(c_18016,plain,
app(nil,cons(sK57,iPr_def_11)) = cons(sK57,iPr_def_11),
inference(superposition,[status(thm)],[c_16421,c_16815]) ).
tcf(c_18017,plain,
app(nil,cons(sK57,iPr_def_12)) = cons(sK57,iPr_def_12),
inference(superposition,[status(thm)],[c_16422,c_16815]) ).
tcf(c_18018,plain,
app(nil,cons(sK57,iPr_def_10)) = cons(sK57,iPr_def_10),
inference(superposition,[status(thm)],[c_16246,c_16815]) ).
tcf(c_18134,plain,
( memberP(cons(sK57,sK60),sK57)
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(app(nil,cons(sK57,sK60))) ),
inference(superposition,[status(thm)],[c_18012,c_54]) ).
tcf(c_18135,plain,
( frontsegP(cons(sK57,sK60),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_18012,c_378]) ).
tcf(c_18138,plain,
( frontsegP(cons(sK57,sK60),nil)
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18135,c_141]) ).
tcf(c_18144,plain,
( memberP(cons(sK57,sK60),sK57)
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,sK60)) ),
inference(light_normalisation,[status(thm)],[c_18134,c_18012]) ).
tcf(c_18145,plain,
( memberP(cons(sK57,sK60),sK57)
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18144,c_12927,c_141,c_12925]) ).
tcf(c_18152,plain,
( memberP(cons(sK57,sK59),sK57)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(app(nil,cons(sK57,sK59))) ),
inference(superposition,[status(thm)],[c_18013,c_54]) ).
tcf(c_18153,plain,
( frontsegP(cons(sK57,sK59),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_18013,c_378]) ).
tcf(c_18156,plain,
( frontsegP(cons(sK57,sK59),nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18153,c_141]) ).
tcf(c_18162,plain,
( memberP(cons(sK57,sK59),sK57)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,sK59)) ),
inference(light_normalisation,[status(thm)],[c_18152,c_18013]) ).
tcf(c_18163,plain,
( memberP(cons(sK57,sK59),sK57)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18162,c_12926,c_141,c_12925]) ).
tcf(c_18172,plain,
( memberP(cons(sK57,sK56),sK57)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(app(nil,cons(sK57,sK56))) ),
inference(superposition,[status(thm)],[c_18014,c_54]) ).
tcf(c_18173,plain,
( frontsegP(cons(sK57,sK56),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_18014,c_378]) ).
tcf(c_18176,plain,
( frontsegP(cons(sK57,sK56),nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18173,c_141]) ).
tcf(c_18182,plain,
( memberP(cons(sK57,sK56),sK57)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,sK56)) ),
inference(light_normalisation,[status(thm)],[c_18172,c_18014]) ).
tcf(c_18183,plain,
( memberP(cons(sK57,sK56),sK57)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18182,c_12924,c_141,c_12925]) ).
tcf(c_18322,plain,
( ( nil = iPr_def_13 )
| ( hd(iPr_def_13) = sK51(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_15748,c_220]) ).
tcf(c_18323,plain,
( ( nil = iPr_def_11 )
| ( hd(iPr_def_11) = sK51(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_16421,c_220]) ).
tcf(c_18324,plain,
( ( nil = iPr_def_12 )
| ( hd(iPr_def_12) = sK51(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_16422,c_220]) ).
tcf(c_18473,plain,
( ( nil = iPr_def_13 )
| ( tl(iPr_def_13) = sK52(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_15748,c_222]) ).
tcf(c_18474,plain,
( ( nil = iPr_def_11 )
| ( tl(iPr_def_11) = sK52(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_16421,c_222]) ).
tcf(c_18475,plain,
( ( nil = iPr_def_12 )
| ( tl(iPr_def_12) = sK52(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_16422,c_222]) ).
tcf(c_19192,plain,
( singletonP(iPr_def_10)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_12917,c_17295]) ).
tcf(c_19194,plain,
singletonP(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_19192,c_12925]) ).
tcf(c_19198,plain,
( ( cons(sK10(iPr_def_10),nil) = iPr_def_10 )
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_19194,c_60]) ).
tcf(c_19199,plain,
cons(sK10(iPr_def_10),nil) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_19198,c_16246]) ).
tcf(c_19517,plain,
( equalelemsP(iPr_def_13)
| ~ ssItem(sK10(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_17314,c_217]) ).
tcf(c_19518,plain,
( duplicatefreeP(iPr_def_13)
| ~ ssItem(sK10(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_17314,c_215]) ).
tcf(c_19519,plain,
( strictorderedP(iPr_def_13)
| ~ ssItem(sK10(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_17314,c_209]) ).
tcf(c_19520,plain,
( totalorderedP(iPr_def_13)
| ~ ssItem(sK10(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_17314,c_203]) ).
tcf(c_19620,plain,
( ( nil = iPr_def_13 )
| ( cons(sK50(iPr_def_13),sK49(iPr_def_13)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_15748,c_147]) ).
tcf(c_19621,plain,
( ( nil = iPr_def_11 )
| ( cons(sK50(iPr_def_11),sK49(iPr_def_11)) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_16421,c_147]) ).
tcf(c_19622,plain,
( ( nil = iPr_def_12 )
| ( cons(sK50(iPr_def_12),sK49(iPr_def_12)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_16422,c_147]) ).
tcf(c_19975,plain,
app(nil,sK60) = sK60,
inference(superposition,[status(thm)],[c_12927,c_155]) ).
tcf(c_19976,plain,
app(nil,sK59) = sK59,
inference(superposition,[status(thm)],[c_12926,c_155]) ).
tcf(c_19977,plain,
app(nil,sK56) = sK56,
inference(superposition,[status(thm)],[c_12924,c_155]) ).
tcf(c_20121,plain,
( ( nil = iPr_def_13 )
| ( cons(hd(iPr_def_13),tl(iPr_def_13)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_15748,c_224]) ).
tcf(c_20122,plain,
( ( nil = iPr_def_11 )
| ( cons(hd(iPr_def_11),tl(iPr_def_11)) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_16421,c_224]) ).
tcf(c_20123,plain,
( ( nil = iPr_def_12 )
| ( cons(hd(iPr_def_12),tl(iPr_def_12)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_16422,c_224]) ).
tcf(c_20304,plain,
( equalelemsP(iPr_def_13)
| ~ singletonP(iPr_def_13)
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_59,c_19517]) ).
tcf(c_20305,plain,
equalelemsP(iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_20304,c_15749,c_15748]) ).
tcf(c_20310,plain,
( duplicatefreeP(iPr_def_13)
| ~ singletonP(iPr_def_13)
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_59,c_19518]) ).
tcf(c_20311,plain,
duplicatefreeP(iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_20310,c_15749,c_15748]) ).
tcf(c_20509,plain,
! [X0: $i] :
( ( app(cons(sK57,nil),X0) = cons(sK57,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12925,c_227]) ).
tcf(c_20513,plain,
! [X0: $i] :
( ( cons(sK57,X0) = app(iPr_def_10,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_20509,c_12917]) ).
tcf(c_20645,plain,
app(sK60,nil) = sK60,
inference(superposition,[status(thm)],[c_12927,c_232]) ).
tcf(c_20646,plain,
app(sK59,nil) = sK59,
inference(superposition,[status(thm)],[c_12926,c_232]) ).
tcf(c_20647,plain,
app(sK56,nil) = sK56,
inference(superposition,[status(thm)],[c_12924,c_232]) ).
tcf(c_20844,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ( nil != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_12918,c_230]) ).
tcf(c_20845,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ( nil != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_12919,c_230]) ).
tcf(c_20881,plain,
nil != iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_20845,c_17342,c_16421,c_16246]) ).
tcf(c_20882,plain,
nil != iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_20844,c_17342,c_16246,c_12926]) ).
tcf(c_20895,plain,
( strictorderedP(iPr_def_13)
| ~ singletonP(iPr_def_13)
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_59,c_19519]) ).
tcf(c_20896,plain,
strictorderedP(iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_20895,c_15749,c_15748]) ).
tcf(c_20923,plain,
( memberP(iPr_def_10,sK10(iPr_def_10))
| ~ ssList(nil)
| ~ ssItem(sK10(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_19199,c_168]) ).
tcf(c_20925,plain,
( memberP(iPr_def_10,sK10(iPr_def_10))
| ~ ssItem(sK10(iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20923,c_141]) ).
tcf(c_20982,plain,
( memberP(cons(sK57,iPr_def_13),sK57)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(app(nil,cons(sK57,iPr_def_13))) ),
inference(superposition,[status(thm)],[c_18015,c_54]) ).
tcf(c_20984,plain,
( frontsegP(cons(sK57,iPr_def_13),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_18015,c_378]) ).
tcf(c_20987,plain,
( frontsegP(cons(sK57,iPr_def_13),nil)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20984,c_141]) ).
tcf(c_20993,plain,
( memberP(cons(sK57,iPr_def_13),sK57)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(light_normalisation,[status(thm)],[c_20982,c_18015]) ).
tcf(c_20994,plain,
( memberP(cons(sK57,iPr_def_13),sK57)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20993,c_15748,c_141,c_12925]) ).
tcf(c_21016,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK60)
| ( nil != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_12920,c_231]) ).
tcf(c_21048,plain,
nil != iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_21016,c_20881,c_16422,c_12927]) ).
tcf(c_21084,plain,
( ( app(nil,sK11(nil,nil)) = nil )
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_367,c_63]) ).
tcf(c_21089,plain,
( ( app(nil,sK11(sK60,nil)) = sK60 )
| ~ ssList(sK60)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_17231,c_63]) ).
tcf(c_21090,plain,
( ( app(nil,sK11(sK59,nil)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_17230,c_63]) ).
tcf(c_21091,plain,
( ( app(nil,sK11(sK56,nil)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_17229,c_63]) ).
tcf(c_21093,plain,
( ( app(sK60,sK11(sK60,sK60)) = sK60 )
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_17227,c_63]) ).
tcf(c_21094,plain,
( ( app(sK59,sK11(sK59,sK59)) = sK59 )
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_17226,c_63]) ).
tcf(c_21095,plain,
( ( app(sK56,sK11(sK56,sK56)) = sK56 )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_17225,c_63]) ).
tcf(c_21106,plain,
app(sK56,sK11(sK56,sK56)) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_21095,c_12924]) ).
tcf(c_21107,plain,
app(sK59,sK11(sK59,sK59)) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_21094,c_12926]) ).
tcf(c_21108,plain,
app(sK60,sK11(sK60,sK60)) = sK60,
inference(forward_subsumption_resolution,[status(thm)],[c_21093,c_12927]) ).
tcf(c_21109,plain,
app(nil,sK11(nil,nil)) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_21084,c_141]) ).
tcf(c_21115,plain,
app(nil,sK11(sK56,nil)) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_21091,c_12924,c_141]) ).
tcf(c_21116,plain,
app(nil,sK11(sK59,nil)) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_21090,c_12926,c_141]) ).
tcf(c_21117,plain,
app(nil,sK11(sK60,nil)) = sK60,
inference(forward_subsumption_resolution,[status(thm)],[c_21089,c_12927,c_141]) ).
tcf(c_21164,plain,
( ( app(sK12(nil,nil),nil) = nil )
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_365,c_66]) ).
tcf(c_21169,plain,
( ( app(sK12(sK60,sK60),sK60) = sK60 )
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_16967,c_66]) ).
tcf(c_21170,plain,
( ( app(sK12(sK59,sK59),sK59) = sK59 )
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_16966,c_66]) ).
tcf(c_21171,plain,
( ( app(sK12(sK56,sK56),sK56) = sK56 )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_16965,c_66]) ).
tcf(c_21173,plain,
( ( app(sK12(sK60,nil),nil) = sK60 )
| ~ ssList(sK60)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_16963,c_66]) ).
tcf(c_21174,plain,
( ( app(sK12(sK59,nil),nil) = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_16962,c_66]) ).
tcf(c_21175,plain,
( ( app(sK12(sK56,nil),nil) = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_16961,c_66]) ).
tcf(c_21185,plain,
app(sK12(sK56,sK56),sK56) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_21171,c_12924]) ).
tcf(c_21186,plain,
app(sK12(sK59,sK59),sK59) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_21170,c_12926]) ).
tcf(c_21187,plain,
app(sK12(sK60,sK60),sK60) = sK60,
inference(forward_subsumption_resolution,[status(thm)],[c_21169,c_12927]) ).
tcf(c_21189,plain,
app(sK12(nil,nil),nil) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_21164,c_141]) ).
tcf(c_21196,plain,
app(sK12(sK56,nil),nil) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_21175,c_12924,c_141]) ).
tcf(c_21197,plain,
app(sK12(sK59,nil),nil) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_21174,c_12926,c_141]) ).
tcf(c_21198,plain,
app(sK12(sK60,nil),nil) = sK60,
inference(forward_subsumption_resolution,[status(thm)],[c_21173,c_12927,c_141]) ).
tcf(c_21288,plain,
( totalorderedP(iPr_def_13)
| ~ singletonP(iPr_def_13)
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_59,c_19520]) ).
tcf(c_21289,plain,
totalorderedP(iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_21288,c_15749,c_15748]) ).
tcf(c_21297,plain,
( rearsegP(sK56,sK11(sK56,sK56))
| ~ ssList(sK56)
| ~ ssList(sK11(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_21106,c_375]) ).
tcf(c_21299,plain,
( rearsegP(sK56,sK11(sK56,sK56))
| ~ ssList(sK11(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21297,c_12924]) ).
tcf(c_21309,plain,
( rearsegP(sK59,sK11(sK59,sK59))
| ~ ssList(sK59)
| ~ ssList(sK11(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_21107,c_375]) ).
tcf(c_21311,plain,
( rearsegP(sK59,sK11(sK59,sK59))
| ~ ssList(sK11(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21309,c_12926]) ).
tcf(c_21321,plain,
( rearsegP(sK60,sK11(sK60,sK60))
| ~ ssList(sK60)
| ~ ssList(sK11(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_21108,c_375]) ).
tcf(c_21323,plain,
( rearsegP(sK60,sK11(sK60,sK60))
| ~ ssList(sK11(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21321,c_12927]) ).
tcf(c_21333,plain,
( rearsegP(sK56,sK11(sK56,nil))
| ~ ssList(nil)
| ~ ssList(sK11(sK56,nil)) ),
inference(superposition,[status(thm)],[c_21115,c_375]) ).
tcf(c_21335,plain,
( rearsegP(sK56,sK11(sK56,nil))
| ~ ssList(sK11(sK56,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21333,c_141]) ).
tcf(c_21345,plain,
( rearsegP(sK59,sK11(sK59,nil))
| ~ ssList(nil)
| ~ ssList(sK11(sK59,nil)) ),
inference(superposition,[status(thm)],[c_21116,c_375]) ).
tcf(c_21347,plain,
( rearsegP(sK59,sK11(sK59,nil))
| ~ ssList(sK11(sK59,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21345,c_141]) ).
tcf(c_21357,plain,
( rearsegP(sK60,sK11(sK60,nil))
| ~ ssList(nil)
| ~ ssList(sK11(sK60,nil)) ),
inference(superposition,[status(thm)],[c_21117,c_375]) ).
tcf(c_21359,plain,
( rearsegP(sK60,sK11(sK60,nil))
| ~ ssList(sK11(sK60,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21357,c_141]) ).
tcf(c_21376,plain,
( frontsegP(sK56,sK12(sK56,sK56))
| ~ ssList(sK56)
| ~ ssList(sK12(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_21185,c_378]) ).
tcf(c_21379,plain,
( frontsegP(sK56,sK12(sK56,sK56))
| ~ ssList(sK12(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21376,c_12924]) ).
tcf(c_21386,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_18016,c_54]) ).
tcf(c_21389,plain,
( frontsegP(cons(sK57,iPr_def_11),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_18016,c_378]) ).
tcf(c_21392,plain,
( frontsegP(cons(sK57,iPr_def_11),nil)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21389,c_141]) ).
tcf(c_21398,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_21386,c_18016]) ).
tcf(c_21399,plain,
( memberP(cons(sK57,iPr_def_11),sK57)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21398,c_16421,c_141,c_12925]) ).
tcf(c_21436,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(superposition,[status(thm)],[c_12918,c_165]) ).
tcf(c_21437,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_12919,c_165]) ).
tcf(c_21438,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_12920,c_165]) ).
tcf(c_21478,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21438,c_16422,c_12927]) ).
tcf(c_21482,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21437,c_16421,c_16246]) ).
tcf(c_21486,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21436,c_16246,c_12926]) ).
tcf(c_21527,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_12918,c_166]) ).
tcf(c_21577,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21527,c_16246,c_12926]) ).
tcf(c_21852,plain,
( frontsegP(sK59,sK12(sK59,sK59))
| ~ ssList(sK59)
| ~ ssList(sK12(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_21186,c_378]) ).
tcf(c_21857,plain,
( frontsegP(sK59,sK12(sK59,sK59))
| ~ ssList(sK12(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21852,c_12926]) ).
tcf(c_21872,plain,
( frontsegP(sK60,sK12(sK60,sK60))
| ~ ssList(sK60)
| ~ ssList(sK12(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_21187,c_378]) ).
tcf(c_21877,plain,
( frontsegP(sK60,sK12(sK60,sK60))
| ~ ssList(sK12(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21872,c_12927]) ).
tcf(c_21892,plain,
( frontsegP(sK56,sK12(sK56,nil))
| ~ ssList(nil)
| ~ ssList(sK12(sK56,nil)) ),
inference(superposition,[status(thm)],[c_21196,c_378]) ).
tcf(c_21897,plain,
( frontsegP(sK56,sK12(sK56,nil))
| ~ ssList(sK12(sK56,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21892,c_141]) ).
tcf(c_21912,plain,
( frontsegP(sK59,sK12(sK59,nil))
| ~ ssList(nil)
| ~ ssList(sK12(sK59,nil)) ),
inference(superposition,[status(thm)],[c_21197,c_378]) ).
tcf(c_21917,plain,
( frontsegP(sK59,sK12(sK59,nil))
| ~ ssList(sK12(sK59,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21912,c_141]) ).
tcf(c_21932,plain,
( frontsegP(sK60,sK12(sK60,nil))
| ~ ssList(nil)
| ~ ssList(sK12(sK60,nil)) ),
inference(superposition,[status(thm)],[c_21198,c_378]) ).
tcf(c_21937,plain,
( frontsegP(sK60,sK12(sK60,nil))
| ~ ssList(sK12(sK60,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21932,c_141]) ).
tcf(c_22078,plain,
( ( app(sK12(sK56,sK11(sK56,sK56)),sK11(sK56,sK56)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_21299,c_66]) ).
tcf(c_22079,plain,
( ( app(sK12(sK56,sK11(sK56,sK56)),sK11(sK56,sK56)) = sK56 )
| ~ ssList(sK11(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22078,c_12924]) ).
tcf(c_22082,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_18017,c_54]) ).
tcf(c_22085,plain,
( frontsegP(cons(sK57,iPr_def_12),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_18017,c_378]) ).
tcf(c_22090,plain,
( frontsegP(cons(sK57,iPr_def_12),nil)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22085,c_141]) ).
tcf(c_22096,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_22082,c_18017]) ).
tcf(c_22097,plain,
( memberP(cons(sK57,iPr_def_12),sK57)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22096,c_16422,c_141,c_12925]) ).
tcf(c_22114,plain,
( ( sK59 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ frontsegP(sK59,iPr_def_11) ),
inference(superposition,[status(thm)],[c_17235,c_174]) ).
tcf(c_22115,plain,
( ( iPr_def_11 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(superposition,[status(thm)],[c_17234,c_174]) ).
tcf(c_22147,plain,
( ( iPr_def_11 = iPr_def_12 )
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22115,c_16422,c_16421]) ).
tcf(c_22150,plain,
( ( sK59 = iPr_def_11 )
| ~ frontsegP(sK59,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22114,c_16421,c_12926]) ).
tcf(c_22171,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_12919,c_176]) ).
tcf(c_22172,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_12920,c_176]) ).
tcf(c_22250,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22172,c_16422,c_12927]) ).
tcf(c_22254,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22171,c_16421,c_16246]) ).
tcf(c_22408,plain,
( ( sK60 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK60)
| ~ rearsegP(sK60,iPr_def_13) ),
inference(superposition,[status(thm)],[c_16969,c_184]) ).
tcf(c_22437,plain,
( ( sK60 = iPr_def_13 )
| ~ rearsegP(sK60,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22408,c_15748,c_12927]) ).
tcf(c_22806,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_18018,c_54]) ).
tcf(c_22809,plain,
( frontsegP(cons(sK57,iPr_def_10),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_18018,c_378]) ).
tcf(c_22816,plain,
( frontsegP(cons(sK57,iPr_def_10),nil)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22809,c_141]) ).
tcf(c_22827,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_22806,c_18018]) ).
tcf(c_22828,plain,
( memberP(cons(sK57,iPr_def_10),sK57)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22827,c_16246,c_141,c_12925]) ).
tcf(c_23315,plain,
( ( app(sK12(sK59,sK11(sK59,sK59)),sK11(sK59,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_21311,c_66]) ).
tcf(c_23316,plain,
( ( app(sK12(sK59,sK11(sK59,sK59)),sK11(sK59,sK59)) = sK59 )
| ~ ssList(sK11(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23315,c_12926]) ).
tcf(c_23328,plain,
( ( app(sK12(sK60,sK11(sK60,sK60)),sK11(sK60,sK60)) = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK11(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_21323,c_66]) ).
tcf(c_23329,plain,
( ( app(sK12(sK60,sK11(sK60,sK60)),sK11(sK60,sK60)) = sK60 )
| ~ ssList(sK11(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23328,c_12927]) ).
tcf(c_23354,plain,
( ( app(sK12(sK56,sK56),sK11(sK56,sK12(sK56,sK56))) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK12(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_21379,c_63]) ).
tcf(c_23355,plain,
( ( app(sK12(sK56,sK56),sK11(sK56,sK12(sK56,sK56))) = sK56 )
| ~ ssList(sK12(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23354,c_12924]) ).
tcf(c_23769,plain,
( memberP(iPr_def_11,sK10(iPr_def_10))
| ~ ssItem(sK10(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_20925,c_21577]) ).
tcf(c_23777,plain,
( ( app(sK12(sK59,sK59),sK11(sK59,sK12(sK59,sK59))) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK12(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_21857,c_63]) ).
tcf(c_23778,plain,
( ( app(sK12(sK59,sK59),sK11(sK59,sK12(sK59,sK59))) = sK59 )
| ~ ssList(sK12(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23777,c_12926]) ).
tcf(c_23790,plain,
( ( app(sK12(sK60,sK60),sK11(sK60,sK12(sK60,sK60))) = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK12(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_21877,c_63]) ).
tcf(c_23791,plain,
( ( app(sK12(sK60,sK60),sK11(sK60,sK12(sK60,sK60))) = sK60 )
| ~ ssList(sK12(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23790,c_12927]) ).
tcf(c_24155,plain,
( frontsegP(iPr_def_13,iPr_def_11)
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_17234,c_22250]) ).
tcf(c_24158,plain,
frontsegP(iPr_def_13,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_24155,c_16421]) ).
tcf(c_24246,plain,
! [X0: $i] :
( frontsegP(cons(sK57,X0),iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ),
inference(superposition,[status(thm)],[c_12917,c_177]) ).
tcf(c_24259,plain,
! [X0: $i] :
( frontsegP(cons(sK57,X0),iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24246,c_141,c_12925]) ).
tcf(c_24970,plain,
( ( app(iPr_def_11,sK11(iPr_def_13,iPr_def_11)) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_24158,c_63]) ).
tcf(c_24971,plain,
app(iPr_def_11,sK11(iPr_def_13,iPr_def_11)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_24970,c_15748,c_16421]) ).
tcf(c_25009,plain,
( rearsegP(nil,sK11(nil,nil))
| ~ ssList(nil)
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_21109,c_375]) ).
tcf(c_25015,plain,
( rearsegP(nil,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25009,c_141]) ).
tcf(c_25903,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(X1,X0)) = app(cons(sK57,X1),X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12925,c_154]) ).
tcf(c_26267,plain,
( rearsegP(sK60,sK60)
| ~ ssList(sK60)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_19975,c_375]) ).
tcf(c_26268,plain,
( rearsegP(sK59,sK59)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_19976,c_375]) ).
tcf(c_26269,plain,
( rearsegP(sK56,sK56)
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_19977,c_375]) ).
tcf(c_26297,plain,
rearsegP(sK56,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_26269,c_12924,c_141]) ).
tcf(c_26298,plain,
rearsegP(sK59,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_26268,c_12926,c_141]) ).
tcf(c_26299,plain,
rearsegP(sK60,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_26267,c_12927,c_141]) ).
tcf(c_28351,plain,
( frontsegP(sK60,sK60)
| ~ ssList(sK60)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_20645,c_378]) ).
tcf(c_28352,plain,
( frontsegP(sK59,sK59)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_20646,c_378]) ).
tcf(c_28353,plain,
( frontsegP(sK56,sK56)
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_20647,c_378]) ).
tcf(c_28373,plain,
frontsegP(sK56,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_28353,c_12924,c_141]) ).
tcf(c_28374,plain,
frontsegP(sK59,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_28352,c_12926,c_141]) ).
tcf(c_28375,plain,
frontsegP(sK60,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_28351,c_12927,c_141]) ).
tcf(c_28838,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( X0 = sK57 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_12917,c_170]) ).
tcf(c_28848,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( X0 = sK57 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28838,c_141,c_12925]) ).
tcf(c_29099,plain,
! [X0: $i] :
( ~ memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ( X0 = sK57 ) ),
inference(global_subsumption_just,[status(thm)],[c_28848,c_171,c_28848]) ).
tcf(c_29100,plain,
! [X0: $i] :
( ( X0 = sK57 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(renaming,[status(thm)],[c_29099]) ).
tcf(c_29109,plain,
( ( sK10(iPr_def_10) = sK57 )
| ~ ssItem(sK10(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_20925,c_29100]) ).
tcf(c_29726,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ( app(X0,iPr_def_10) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_12918,c_225]) ).
tcf(c_29730,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,sK60) != sK60 ) ),
inference(superposition,[status(thm)],[c_16093,c_225]) ).
tcf(c_29731,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,sK59) != sK59 ) ),
inference(superposition,[status(thm)],[c_16094,c_225]) ).
tcf(c_29732,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,sK56) != sK56 ) ),
inference(superposition,[status(thm)],[c_16095,c_225]) ).
tcf(c_29841,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,sK56) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29732,c_12924,c_141]) ).
tcf(c_29845,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,sK59) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29731,c_12926,c_141]) ).
tcf(c_29849,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,sK60) != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29730,c_12927,c_141]) ).
tcf(c_29865,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ( app(X0,iPr_def_10) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29726,c_16246,c_12926]) ).
tcf(c_30456,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(sK60,X0) != sK60 ) ),
inference(superposition,[status(thm)],[c_16178,c_226]) ).
tcf(c_30457,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(sK59,X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_16179,c_226]) ).
tcf(c_30458,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(sK56,X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_16180,c_226]) ).
tcf(c_30547,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(sK56,X0) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30458,c_12924,c_141]) ).
tcf(c_30551,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(sK59,X0) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30457,c_12926,c_141]) ).
tcf(c_30555,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(sK60,X0) != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30456,c_12927,c_141]) ).
tcf(c_31063,plain,
( frontsegP(nil,sK12(nil,nil))
| ~ ssList(nil)
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_21189,c_378]) ).
tcf(c_31072,plain,
( frontsegP(nil,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31063,c_141]) ).
tcf(c_31521,plain,
( ( sK12(sK56,sK56) = nil )
| ~ ssList(sK12(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_21185,c_29841]) ).
tcf(c_31531,plain,
( ( sK12(sK59,sK59) = nil )
| ~ ssList(sK12(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_21186,c_29845]) ).
tcf(c_31540,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ( sK60 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_12920,c_29849]) ).
tcf(c_31543,plain,
( ( sK12(sK60,sK60) = nil )
| ~ ssList(sK12(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_21187,c_29849]) ).
tcf(c_31546,plain,
sK60 != iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_31540,c_20881,c_16422]) ).
tcf(c_31547,plain,
~ rearsegP(sK60,iPr_def_13),
inference(backward_subsumption_resolution,[status(thm)],[c_22437,c_31546]) ).
tcf(c_31567,plain,
( ( sK59 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ( iPr_def_11 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_12919,c_29865]) ).
tcf(c_31573,plain,
( ( sK59 = iPr_def_11 )
| ( iPr_def_11 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31567,c_16421]) ).
tcf(c_31603,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(app(sK59,iPr_def_10),X0)) ),
inference(superposition,[status(thm)],[c_12918,c_67]) ).
tcf(c_31608,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_16094,c_67]) ).
tcf(c_31739,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK59)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK59,X0)) ),
inference(light_normalisation,[status(thm)],[c_31608,c_16094]) ).
tcf(c_31740,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK59)
| ~ ssList(X0)
| ~ ssList(app(sK59,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31739,c_12926,c_141]) ).
tcf(c_31764,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_11,X0)) ),
inference(light_normalisation,[status(thm)],[c_31603,c_12918]) ).
tcf(c_31765,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),iPr_def_10)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_11,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31764,c_16246,c_12926]) ).
tcf(c_33795,plain,
( segmentP(iPr_def_11,sK59)
| ~ ssList(iPr_def_10)
| ~ ssList(app(sK59,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_12918,c_31740]) ).
tcf(c_33804,plain,
( segmentP(iPr_def_11,sK59)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_33795,c_12918]) ).
tcf(c_33805,plain,
segmentP(iPr_def_11,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_33804,c_16421,c_16246]) ).
tcf(c_35120,plain,
( ( sK59 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ segmentP(sK59,iPr_def_11) ),
inference(superposition,[status(thm)],[c_33805,c_191]) ).
tcf(c_35121,plain,
( ( sK59 = iPr_def_11 )
| ~ segmentP(sK59,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35120,c_16421,c_12926]) ).
tcf(c_36933,plain,
( ( sK11(sK56,sK56) = nil )
| ~ ssList(sK11(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_21106,c_30547]) ).
tcf(c_36942,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( sK59 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_12918,c_30551]) ).
tcf(c_36945,plain,
( ( sK11(sK59,sK59) = nil )
| ~ ssList(sK11(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_21107,c_30551]) ).
tcf(c_36948,plain,
sK59 != iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_36942,c_17342,c_16246]) ).
tcf(c_36949,plain,
~ segmentP(sK59,iPr_def_11),
inference(backward_subsumption_resolution,[status(thm)],[c_35121,c_36948]) ).
tcf(c_36950,plain,
~ frontsegP(sK59,iPr_def_11),
inference(backward_subsumption_resolution,[status(thm)],[c_22150,c_36948]) ).
tcf(c_36958,plain,
( ( sK11(sK60,sK60) = nil )
| ~ ssList(sK11(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_21108,c_30555]) ).
tcf(c_38568,plain,
( segmentP(iPr_def_13,iPr_def_10)
| ~ ssList(sK11(iPr_def_13,iPr_def_11))
| ~ ssList(app(iPr_def_11,sK11(iPr_def_13,iPr_def_11))) ),
inference(superposition,[status(thm)],[c_24971,c_31765]) ).
tcf(c_38572,plain,
( segmentP(iPr_def_13,iPr_def_10)
| ~ ssList(iPr_def_13)
| ~ ssList(sK11(iPr_def_13,iPr_def_11)) ),
inference(light_normalisation,[status(thm)],[c_38568,c_24971]) ).
tcf(c_38573,plain,
( segmentP(iPr_def_13,iPr_def_10)
| ~ ssList(sK11(iPr_def_13,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38572,c_15748]) ).
tcf(c_40007,plain,
( ( app(sK12(sK56,sK11(sK56,sK56)),sK11(sK56,sK56)) = sK56 )
| ~ ssList(sK56)
| ~ frontsegP(sK56,sK56) ),
inference(superposition,[status(thm)],[c_62,c_22079]) ).
tcf(c_40008,plain,
app(sK12(sK56,sK11(sK56,sK56)),sK11(sK56,sK56)) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_40007,c_12924,c_17225]) ).
tcf(c_40328,plain,
( segmentP(iPr_def_13,iPr_def_10)
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_11)
| ~ frontsegP(iPr_def_13,iPr_def_11) ),
inference(superposition,[status(thm)],[c_62,c_38573]) ).
tcf(c_40329,plain,
segmentP(iPr_def_13,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_40328,c_15748,c_16421,c_24158]) ).
tcf(c_40379,plain,
( ( app(sK12(sK59,sK11(sK59,sK59)),sK11(sK59,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ frontsegP(sK59,sK59) ),
inference(superposition,[status(thm)],[c_62,c_23316]) ).
tcf(c_40380,plain,
app(sK12(sK59,sK11(sK59,sK59)),sK11(sK59,sK59)) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_40379,c_12926,c_17226]) ).
tcf(c_40444,plain,
( ( app(sK12(sK60,sK11(sK60,sK60)),sK11(sK60,sK60)) = sK60 )
| ~ ssList(sK60)
| ~ frontsegP(sK60,sK60) ),
inference(superposition,[status(thm)],[c_62,c_23329]) ).
tcf(c_40445,plain,
app(sK12(sK60,sK11(sK60,sK60)),sK11(sK60,sK60)) = sK60,
inference(forward_subsumption_resolution,[status(thm)],[c_40444,c_12927,c_17227]) ).
tcf(c_40604,plain,
( ( app(sK12(sK56,sK56),sK11(sK56,sK12(sK56,sK56))) = sK56 )
| ~ ssList(sK56)
| ~ rearsegP(sK56,sK56) ),
inference(superposition,[status(thm)],[c_65,c_23355]) ).
tcf(c_40605,plain,
app(sK12(sK56,sK56),sK11(sK56,sK12(sK56,sK56))) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_40604,c_12924,c_16965]) ).
tcf(c_40700,plain,
( ( app(sK12(sK59,sK59),sK11(sK59,sK12(sK59,sK59))) = sK59 )
| ~ ssList(sK59)
| ~ rearsegP(sK59,sK59) ),
inference(superposition,[status(thm)],[c_65,c_23778]) ).
tcf(c_40701,plain,
app(sK12(sK59,sK59),sK11(sK59,sK12(sK59,sK59))) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_40700,c_12926,c_16966]) ).
tcf(c_40778,plain,
( ( app(sK12(sK60,sK60),sK11(sK60,sK12(sK60,sK60))) = sK60 )
| ~ ssList(sK60)
| ~ rearsegP(sK60,sK60) ),
inference(superposition,[status(thm)],[c_65,c_23791]) ).
tcf(c_40779,plain,
app(sK12(sK60,sK60),sK11(sK60,sK12(sK60,sK60))) = sK60,
inference(forward_subsumption_resolution,[status(thm)],[c_40778,c_12927,c_16967]) ).
tcf(c_40826,plain,
( ( sK10(iPr_def_10) = sK57 )
| ~ singletonP(iPr_def_10)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_59,c_29109]) ).
tcf(c_40827,plain,
sK10(iPr_def_10) = sK57,
inference(forward_subsumption_resolution,[status(thm)],[c_40826,c_19194,c_16246]) ).
tcf(c_40830,plain,
cons(sK57,nil) = iPr_def_10,
inference(demodulation,[status(thm)],[c_19199,c_40827]) ).
tcf(c_42613,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,sK60)) = app(cons(sK57,X0),sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12927,c_25903]) ).
tcf(c_42614,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,sK59)) = app(cons(sK57,X0),sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12926,c_25903]) ).
tcf(c_42615,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,sK56)) = app(cons(sK57,X0),sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12924,c_25903]) ).
tcf(c_42922,plain,
cons(sK57,app(nil,sK60)) = app(cons(sK57,nil),sK60),
inference(superposition,[status(thm)],[c_141,c_42613]) ).
tcf(c_42926,plain,
cons(sK57,app(sK60,sK60)) = app(cons(sK57,sK60),sK60),
inference(superposition,[status(thm)],[c_12927,c_42613]) ).
tcf(c_42927,plain,
cons(sK57,app(sK59,sK60)) = app(cons(sK57,sK59),sK60),
inference(superposition,[status(thm)],[c_12926,c_42613]) ).
tcf(c_42928,plain,
cons(sK57,app(sK56,sK60)) = app(cons(sK57,sK56),sK60),
inference(superposition,[status(thm)],[c_12924,c_42613]) ).
tcf(c_42931,plain,
cons(sK57,app(iPr_def_12,sK60)) = app(cons(sK57,iPr_def_12),sK60),
inference(superposition,[status(thm)],[c_16422,c_42613]) ).
tcf(c_42939,plain,
app(cons(sK57,iPr_def_12),sK60) = cons(sK57,iPr_def_13),
inference(light_normalisation,[status(thm)],[c_42931,c_12920]) ).
tcf(c_42940,plain,
cons(sK57,sK60) = app(iPr_def_10,sK60),
inference(light_normalisation,[status(thm)],[c_42922,c_16093,c_40830]) ).
tcf(c_43175,plain,
( frontsegP(cons(sK57,app(sK60,sK60)),cons(sK57,sK60))
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_42926,c_378]) ).
tcf(c_43176,plain,
( rearsegP(cons(sK57,app(sK60,sK60)),sK60)
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_42926,c_375]) ).
tcf(c_43177,plain,
( ssList(cons(sK57,app(sK60,sK60)))
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_42926,c_153]) ).
tcf(c_43186,plain,
( ( cons(sK57,sK60) = nil )
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK60)) != sK60 ) ),
inference(superposition,[status(thm)],[c_42926,c_29849]) ).
tcf(c_43187,plain,
( ssList(cons(sK57,app(sK60,sK60)))
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43177,c_12927]) ).
tcf(c_43190,plain,
( rearsegP(cons(sK57,app(sK60,sK60)),sK60)
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43176,c_12927]) ).
tcf(c_43193,plain,
( frontsegP(cons(sK57,app(sK60,sK60)),cons(sK57,sK60))
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43175,c_12927]) ).
tcf(c_43773,plain,
( frontsegP(cons(sK57,app(sK59,sK60)),cons(sK57,sK59))
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_42927,c_378]) ).
tcf(c_43774,plain,
( rearsegP(cons(sK57,app(sK59,sK60)),sK60)
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_42927,c_375]) ).
tcf(c_43775,plain,
( ssList(cons(sK57,app(sK59,sK60)))
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_42927,c_153]) ).
tcf(c_43784,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK60)) != sK60 ) ),
inference(superposition,[status(thm)],[c_42927,c_29849]) ).
tcf(c_43785,plain,
( ssList(cons(sK57,app(sK59,sK60)))
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43775,c_12927]) ).
tcf(c_43788,plain,
( rearsegP(cons(sK57,app(sK59,sK60)),sK60)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43774,c_12927]) ).
tcf(c_43791,plain,
( frontsegP(cons(sK57,app(sK59,sK60)),cons(sK57,sK59))
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43773,c_12927]) ).
tcf(c_44032,plain,
( frontsegP(cons(sK57,app(sK56,sK60)),cons(sK57,sK56))
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_42928,c_378]) ).
tcf(c_44033,plain,
( rearsegP(cons(sK57,app(sK56,sK60)),sK60)
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_42928,c_375]) ).
tcf(c_44034,plain,
( ssList(cons(sK57,app(sK56,sK60)))
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_42928,c_153]) ).
tcf(c_44043,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK60)) != sK60 ) ),
inference(superposition,[status(thm)],[c_42928,c_29849]) ).
tcf(c_44044,plain,
( ssList(cons(sK57,app(sK56,sK60)))
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44034,c_12927]) ).
tcf(c_44047,plain,
( rearsegP(cons(sK57,app(sK56,sK60)),sK60)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44033,c_12927]) ).
tcf(c_44050,plain,
( frontsegP(cons(sK57,app(sK56,sK60)),cons(sK57,sK56))
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44032,c_12927]) ).
tcf(c_44355,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK60),X0),sK60)
| ~ ssList(iPr_def_10)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_10,sK60),X0)) ),
inference(superposition,[status(thm)],[c_42940,c_67]) ).
tcf(c_44359,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK60)
| ( cons(sK57,sK60) != nil ) ),
inference(superposition,[status(thm)],[c_42940,c_231]) ).
tcf(c_44362,plain,
( rearsegP(cons(sK57,sK60),sK60)
| ~ ssList(iPr_def_10)
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_42940,c_375]) ).
tcf(c_44363,plain,
( ssList(cons(sK57,sK60))
| ~ ssList(iPr_def_10)
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_42940,c_153]) ).
tcf(c_44372,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( cons(sK57,sK60) != sK60 ) ),
inference(superposition,[status(thm)],[c_42940,c_29849]) ).
tcf(c_44373,plain,
ssList(cons(sK57,sK60)),
inference(forward_subsumption_resolution,[status(thm)],[c_44363,c_16246,c_12927]) ).
tcf(c_44374,plain,
rearsegP(cons(sK57,sK60),sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_44362,c_16246,c_12927]) ).
tcf(c_44376,plain,
cons(sK57,sK60) != sK60,
inference(forward_subsumption_resolution,[status(thm)],[c_44372,c_17342,c_16246]) ).
tcf(c_44383,plain,
cons(sK57,sK60) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_44359,c_17342,c_16246,c_12927]) ).
tcf(c_44418,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK60),X0),sK60)
| ~ ssList(iPr_def_10)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK60),X0)) ),
inference(light_normalisation,[status(thm)],[c_44355,c_42940]) ).
tcf(c_44419,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK60),X0),sK60)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK60),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44418,c_16246,c_12927]) ).
tcf(c_44423,plain,
ssList(cons(sK57,app(sK60,sK60))),
inference(backward_subsumption_resolution,[status(thm)],[c_43187,c_44373]) ).
tcf(c_44587,plain,
( ( cons(sK57,sK60) = sK60 )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK60))
| ~ rearsegP(sK60,cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_44374,c_184]) ).
tcf(c_44590,plain,
( ( cons(sK57,sK60) = sK60 )
| ~ rearsegP(sK60,cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44587,c_12927,c_44373]) ).
tcf(c_44910,plain,
rearsegP(cons(sK57,app(sK60,sK60)),sK60),
inference(global_subsumption_just,[status(thm)],[c_43190,c_43190,c_44373]) ).
tcf(c_44913,plain,
( ( cons(sK57,app(sK60,sK60)) = sK60 )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,app(sK60,sK60)))
| ~ rearsegP(sK60,cons(sK57,app(sK60,sK60))) ),
inference(superposition,[status(thm)],[c_44910,c_184]) ).
tcf(c_44920,plain,
( ( cons(sK57,app(sK60,sK60)) = sK60 )
| ~ rearsegP(sK60,cons(sK57,app(sK60,sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44913,c_12927,c_44423]) ).
tcf(c_44929,plain,
( ( cons(sK57,app(sK59,sK60)) = sK60 )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK59))
| ~ ssList(cons(sK57,app(sK59,sK60)))
| ~ rearsegP(sK60,cons(sK57,app(sK59,sK60))) ),
inference(superposition,[status(thm)],[c_43788,c_184]) ).
tcf(c_44936,plain,
( ( cons(sK57,app(sK59,sK60)) = sK60 )
| ~ ssList(cons(sK57,sK59))
| ~ ssList(cons(sK57,app(sK59,sK60)))
| ~ rearsegP(sK60,cons(sK57,app(sK59,sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44929,c_12927]) ).
tcf(c_44946,plain,
( ( cons(sK57,app(sK56,sK60)) = sK60 )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK56))
| ~ ssList(cons(sK57,app(sK56,sK60)))
| ~ rearsegP(sK60,cons(sK57,app(sK56,sK60))) ),
inference(superposition,[status(thm)],[c_44047,c_184]) ).
tcf(c_44953,plain,
( ( cons(sK57,app(sK56,sK60)) = sK60 )
| ~ ssList(cons(sK57,sK56))
| ~ ssList(cons(sK57,app(sK56,sK60)))
| ~ rearsegP(sK60,cons(sK57,app(sK56,sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44946,c_12927]) ).
tcf(c_45276,plain,
frontsegP(cons(sK57,app(sK60,sK60)),cons(sK57,sK60)),
inference(global_subsumption_just,[status(thm)],[c_43193,c_43193,c_44373]) ).
tcf(c_45282,plain,
( frontsegP(app(sK60,sK60),sK60)
| ~ ssList(sK60)
| ~ ssItem(sK57)
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_45276,c_179]) ).
tcf(c_45283,plain,
( frontsegP(app(sK60,sK60),sK60)
| ~ ssList(app(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45282,c_12927,c_12925]) ).
tcf(c_45296,plain,
( ( app(sK60,sK11(app(sK60,sK60),sK60)) = app(sK60,sK60) )
| ~ ssList(sK60)
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_45283,c_63]) ).
tcf(c_45297,plain,
( ( app(sK60,sK11(app(sK60,sK60),sK60)) = app(sK60,sK60) )
| ~ ssList(app(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45296,c_12927]) ).
tcf(c_45429,plain,
cons(sK57,app(nil,sK59)) = app(cons(sK57,nil),sK59),
inference(superposition,[status(thm)],[c_141,c_42614]) ).
tcf(c_45433,plain,
cons(sK57,app(sK60,sK59)) = app(cons(sK57,sK60),sK59),
inference(superposition,[status(thm)],[c_12927,c_42614]) ).
tcf(c_45434,plain,
cons(sK57,app(sK59,sK59)) = app(cons(sK57,sK59),sK59),
inference(superposition,[status(thm)],[c_12926,c_42614]) ).
tcf(c_45435,plain,
cons(sK57,app(sK56,sK59)) = app(cons(sK57,sK56),sK59),
inference(superposition,[status(thm)],[c_12924,c_42614]) ).
tcf(c_45450,plain,
cons(sK57,sK59) = app(iPr_def_10,sK59),
inference(light_normalisation,[status(thm)],[c_45429,c_16094,c_40830]) ).
tcf(c_45644,plain,
( frontsegP(cons(sK57,app(sK60,sK59)),cons(sK57,sK60))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_45433,c_378]) ).
tcf(c_45645,plain,
( rearsegP(cons(sK57,app(sK60,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_45433,c_375]) ).
tcf(c_45646,plain,
( ssList(cons(sK57,app(sK60,sK59)))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_45433,c_153]) ).
tcf(c_45654,plain,
( ( cons(sK57,sK60) = nil )
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_45433,c_29845]) ).
tcf(c_45655,plain,
ssList(cons(sK57,app(sK60,sK59))),
inference(forward_subsumption_resolution,[status(thm)],[c_45646,c_12926,c_44373]) ).
tcf(c_45656,plain,
rearsegP(cons(sK57,app(sK60,sK59)),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_45645,c_12926,c_44373]) ).
tcf(c_45657,plain,
frontsegP(cons(sK57,app(sK60,sK59)),cons(sK57,sK60)),
inference(forward_subsumption_resolution,[status(thm)],[c_45644,c_12926,c_44373]) ).
tcf(c_45658,plain,
cons(sK57,app(sK60,sK59)) != sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_45654,c_44383,c_44373]) ).
tcf(c_45889,plain,
( ( cons(sK57,app(sK60,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK60,sK59)))
| ~ rearsegP(sK59,cons(sK57,app(sK60,sK59))) ),
inference(superposition,[status(thm)],[c_45656,c_184]) ).
tcf(c_45893,plain,
( ( cons(sK57,app(sK60,sK59)) = sK59 )
| ~ rearsegP(sK59,cons(sK57,app(sK60,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45889,c_12926,c_45655]) ).
tcf(c_45924,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK59),X0),sK59)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_10,sK59),X0)) ),
inference(superposition,[status(thm)],[c_45450,c_67]) ).
tcf(c_45928,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ( cons(sK57,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_45450,c_231]) ).
tcf(c_45931,plain,
( rearsegP(cons(sK57,sK59),sK59)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_45450,c_375]) ).
tcf(c_45932,plain,
( ssList(cons(sK57,sK59))
| ~ ssList(iPr_def_10)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_45450,c_153]) ).
tcf(c_45940,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( cons(sK57,sK59) != sK59 ) ),
inference(superposition,[status(thm)],[c_45450,c_29845]) ).
tcf(c_45941,plain,
ssList(cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_45932,c_16246,c_12926]) ).
tcf(c_45942,plain,
rearsegP(cons(sK57,sK59),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_45931,c_16246,c_12926]) ).
tcf(c_45944,plain,
cons(sK57,sK59) != sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_45940,c_17342,c_16246]) ).
tcf(c_45948,plain,
cons(sK57,sK59) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_45928,c_17342,c_16246,c_12926]) ).
tcf(c_45983,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK59),X0),sK59)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK59),X0)) ),
inference(light_normalisation,[status(thm)],[c_45924,c_45450]) ).
tcf(c_45984,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_45983,c_16246,c_12926]) ).
tcf(c_45988,plain,
frontsegP(cons(sK57,app(sK59,sK60)),cons(sK57,sK59)),
inference(backward_subsumption_resolution,[status(thm)],[c_43791,c_45941]) ).
tcf(c_46221,plain,
( ( cons(sK57,sK59) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59))
| ~ rearsegP(sK59,cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_45942,c_184]) ).
tcf(c_46224,plain,
( ( cons(sK57,sK59) = sK59 )
| ~ rearsegP(sK59,cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46221,c_12926,c_45941]) ).
tcf(c_46408,plain,
( frontsegP(app(sK60,sK59),sK60)
| ~ ssList(sK60)
| ~ ssItem(sK57)
| ~ ssList(app(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_45657,c_179]) ).
tcf(c_46409,plain,
( frontsegP(app(sK60,sK59),sK60)
| ~ ssList(app(sK60,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46408,c_12927,c_12925]) ).
tcf(c_46446,plain,
( ( app(sK60,sK11(app(sK60,sK59),sK60)) = app(sK60,sK59) )
| ~ ssList(sK60)
| ~ ssList(app(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_46409,c_63]) ).
tcf(c_46447,plain,
( ( app(sK60,sK11(app(sK60,sK59),sK60)) = app(sK60,sK59) )
| ~ ssList(app(sK60,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46446,c_12927]) ).
tcf(c_46466,plain,
( frontsegP(cons(sK57,app(sK59,sK59)),cons(sK57,sK59))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_45434,c_378]) ).
tcf(c_46467,plain,
( rearsegP(cons(sK57,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_45434,c_375]) ).
tcf(c_46468,plain,
( ssList(cons(sK57,app(sK59,sK59)))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_45434,c_153]) ).
tcf(c_46476,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_45434,c_29845]) ).
tcf(c_46477,plain,
ssList(cons(sK57,app(sK59,sK59))),
inference(forward_subsumption_resolution,[status(thm)],[c_46468,c_12926,c_45941]) ).
tcf(c_46478,plain,
rearsegP(cons(sK57,app(sK59,sK59)),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_46467,c_12926,c_45941]) ).
tcf(c_46479,plain,
frontsegP(cons(sK57,app(sK59,sK59)),cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_46466,c_12926,c_45941]) ).
tcf(c_46480,plain,
cons(sK57,app(sK59,sK59)) != sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_46476,c_45948,c_45941]) ).
tcf(c_46815,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_46478,c_184]) ).
tcf(c_46819,plain,
( ( cons(sK57,app(sK59,sK59)) = sK59 )
| ~ rearsegP(sK59,cons(sK57,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46815,c_12926,c_46477]) ).
tcf(c_46826,plain,
( frontsegP(app(sK59,sK59),sK59)
| ~ ssList(sK59)
| ~ ssItem(sK57)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_46479,c_179]) ).
tcf(c_46827,plain,
( frontsegP(app(sK59,sK59),sK59)
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46826,c_12926,c_12925]) ).
tcf(c_46940,plain,
( frontsegP(app(sK59,sK60),sK59)
| ~ ssList(sK59)
| ~ ssItem(sK57)
| ~ ssList(app(sK59,sK60)) ),
inference(superposition,[status(thm)],[c_45988,c_179]) ).
tcf(c_46941,plain,
( frontsegP(app(sK59,sK60),sK59)
| ~ ssList(app(sK59,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46940,c_12926,c_12925]) ).
tcf(c_46984,plain,
( ( app(sK59,sK11(app(sK59,sK59),sK59)) = app(sK59,sK59) )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_46827,c_63]) ).
tcf(c_46985,plain,
( ( app(sK59,sK11(app(sK59,sK59),sK59)) = app(sK59,sK59) )
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46984,c_12926]) ).
tcf(c_47022,plain,
( ( app(sK59,sK11(app(sK59,sK60),sK59)) = app(sK59,sK60) )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK60)) ),
inference(superposition,[status(thm)],[c_46941,c_63]) ).
tcf(c_47023,plain,
( ( app(sK59,sK11(app(sK59,sK60),sK59)) = app(sK59,sK60) )
| ~ ssList(app(sK59,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47022,c_12926]) ).
tcf(c_47042,plain,
( frontsegP(cons(sK57,app(sK56,sK59)),cons(sK57,sK56))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45435,c_378]) ).
tcf(c_47043,plain,
( rearsegP(cons(sK57,app(sK56,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45435,c_375]) ).
tcf(c_47044,plain,
( ssList(cons(sK57,app(sK56,sK59)))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45435,c_153]) ).
tcf(c_47052,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_45435,c_29845]) ).
tcf(c_47053,plain,
( ssList(cons(sK57,app(sK56,sK59)))
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47044,c_12926]) ).
tcf(c_47056,plain,
( rearsegP(cons(sK57,app(sK56,sK59)),sK59)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47043,c_12926]) ).
tcf(c_47059,plain,
( frontsegP(cons(sK57,app(sK56,sK59)),cons(sK57,sK56))
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47042,c_12926]) ).
tcf(c_48246,plain,
( ( cons(sK57,app(sK56,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK56))
| ~ ssList(cons(sK57,app(sK56,sK59)))
| ~ rearsegP(sK59,cons(sK57,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_47056,c_184]) ).
tcf(c_48253,plain,
( ( cons(sK57,app(sK56,sK59)) = sK59 )
| ~ ssList(cons(sK57,sK56))
| ~ ssList(cons(sK57,app(sK56,sK59)))
| ~ rearsegP(sK59,cons(sK57,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48246,c_12926]) ).
tcf(c_48412,plain,
( ( app(sK60,sK11(sK60,sK60)) = sK60 )
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_28375,c_63]) ).
tcf(c_48413,plain,
( ( app(sK59,sK11(sK59,sK59)) = sK59 )
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_28374,c_63]) ).
tcf(c_48414,plain,
( ( app(sK56,sK11(sK56,sK56)) = sK56 )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_28373,c_63]) ).
tcf(c_48425,plain,
app(sK56,sK11(sK56,sK56)) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_48414,c_12924]) ).
tcf(c_48426,plain,
app(sK59,sK11(sK59,sK59)) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_48413,c_12926]) ).
tcf(c_48427,plain,
app(sK60,sK11(sK60,sK60)) = sK60,
inference(forward_subsumption_resolution,[status(thm)],[c_48412,c_12927]) ).
tcf(c_49054,plain,
( ( app(sK12(sK60,sK60),sK60) = sK60 )
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_26299,c_66]) ).
tcf(c_49055,plain,
( ( app(sK12(sK59,sK59),sK59) = sK59 )
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_26298,c_66]) ).
tcf(c_49056,plain,
( ( app(sK12(sK56,sK56),sK56) = sK56 )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_26297,c_66]) ).
tcf(c_49070,plain,
app(sK12(sK56,sK56),sK56) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_49056,c_12924]) ).
tcf(c_49071,plain,
app(sK12(sK59,sK59),sK59) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_49055,c_12926]) ).
tcf(c_49072,plain,
app(sK12(sK60,sK60),sK60) = sK60,
inference(forward_subsumption_resolution,[status(thm)],[c_49054,c_12927]) ).
tcf(c_49189,plain,
cons(sK57,app(nil,sK56)) = app(cons(sK57,nil),sK56),
inference(superposition,[status(thm)],[c_141,c_42615]) ).
tcf(c_49193,plain,
cons(sK57,app(sK60,sK56)) = app(cons(sK57,sK60),sK56),
inference(superposition,[status(thm)],[c_12927,c_42615]) ).
tcf(c_49194,plain,
cons(sK57,app(sK59,sK56)) = app(cons(sK57,sK59),sK56),
inference(superposition,[status(thm)],[c_12926,c_42615]) ).
tcf(c_49195,plain,
cons(sK57,app(sK56,sK56)) = app(cons(sK57,sK56),sK56),
inference(superposition,[status(thm)],[c_12924,c_42615]) ).
tcf(c_49214,plain,
cons(sK57,sK56) = app(iPr_def_10,sK56),
inference(light_normalisation,[status(thm)],[c_49189,c_16095,c_40830]) ).
tcf(c_49413,plain,
( frontsegP(cons(sK57,app(sK60,sK56)),cons(sK57,sK60))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_49193,c_378]) ).
tcf(c_49414,plain,
( rearsegP(cons(sK57,app(sK60,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_49193,c_375]) ).
tcf(c_49415,plain,
( ssList(cons(sK57,app(sK60,sK56)))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_49193,c_153]) ).
tcf(c_49423,plain,
( ( cons(sK57,sK60) = nil )
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_49193,c_29841]) ).
tcf(c_49424,plain,
ssList(cons(sK57,app(sK60,sK56))),
inference(forward_subsumption_resolution,[status(thm)],[c_49415,c_12924,c_44373]) ).
tcf(c_49425,plain,
rearsegP(cons(sK57,app(sK60,sK56)),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_49414,c_12924,c_44373]) ).
tcf(c_49426,plain,
frontsegP(cons(sK57,app(sK60,sK56)),cons(sK57,sK60)),
inference(forward_subsumption_resolution,[status(thm)],[c_49413,c_12924,c_44373]) ).
tcf(c_49427,plain,
cons(sK57,app(sK60,sK56)) != sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_49423,c_44383,c_44373]) ).
tcf(c_49637,plain,
( ( sK11(sK56,sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(sK11(sK56,sK56))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_48425,c_230]) ).
tcf(c_49644,plain,
( ( sK11(sK56,sK56) = nil )
| ~ ssList(sK11(sK56,sK56))
| ( nil != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49637,c_12924]) ).
tcf(c_49649,plain,
( ( sK11(sK59,sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(sK11(sK59,sK59))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_48426,c_230]) ).
tcf(c_49656,plain,
( ( sK11(sK59,sK59) = nil )
| ~ ssList(sK11(sK59,sK59))
| ( nil != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49649,c_12926]) ).
tcf(c_49661,plain,
( ( sK11(sK60,sK60) = nil )
| ~ ssList(sK60)
| ~ ssList(sK11(sK60,sK60))
| ( nil != sK60 ) ),
inference(superposition,[status(thm)],[c_48427,c_230]) ).
tcf(c_49668,plain,
( ( sK11(sK60,sK60) = nil )
| ~ ssList(sK11(sK60,sK60))
| ( nil != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49661,c_12927]) ).
tcf(c_49685,plain,
( ( cons(sK57,app(sK60,sK56)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK60,sK56)))
| ~ rearsegP(sK56,cons(sK57,app(sK60,sK56))) ),
inference(superposition,[status(thm)],[c_49425,c_184]) ).
tcf(c_49689,plain,
( ( cons(sK57,app(sK60,sK56)) = sK56 )
| ~ rearsegP(sK56,cons(sK57,app(sK60,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49685,c_12924,c_49424]) ).
tcf(c_49696,plain,
( frontsegP(app(sK60,sK56),sK60)
| ~ ssList(sK60)
| ~ ssItem(sK57)
| ~ ssList(app(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_49426,c_179]) ).
tcf(c_49697,plain,
( frontsegP(app(sK60,sK56),sK60)
| ~ ssList(app(sK60,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49696,c_12927,c_12925]) ).
tcf(c_49730,plain,
( ( app(sK60,sK11(app(sK60,sK56),sK60)) = app(sK60,sK56) )
| ~ ssList(sK60)
| ~ ssList(app(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_49697,c_63]) ).
tcf(c_49731,plain,
( ( app(sK60,sK11(app(sK60,sK56),sK60)) = app(sK60,sK56) )
| ~ ssList(app(sK60,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49730,c_12927]) ).
tcf(c_49767,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK56),X0),sK56)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_10,sK56),X0)) ),
inference(superposition,[status(thm)],[c_49214,c_67]) ).
tcf(c_49771,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ( cons(sK57,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_49214,c_231]) ).
tcf(c_49774,plain,
( rearsegP(cons(sK57,sK56),sK56)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_49214,c_375]) ).
tcf(c_49775,plain,
( ssList(cons(sK57,sK56))
| ~ ssList(iPr_def_10)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_49214,c_153]) ).
tcf(c_49783,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( cons(sK57,sK56) != sK56 ) ),
inference(superposition,[status(thm)],[c_49214,c_29841]) ).
tcf(c_49784,plain,
ssList(cons(sK57,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_49775,c_16246,c_12924]) ).
tcf(c_49785,plain,
rearsegP(cons(sK57,sK56),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_49774,c_16246,c_12924]) ).
tcf(c_49787,plain,
cons(sK57,sK56) != sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_49783,c_17342,c_16246]) ).
tcf(c_49791,plain,
cons(sK57,sK56) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_49771,c_17342,c_16246,c_12924]) ).
tcf(c_49826,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK56),X0),sK56)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK56),X0)) ),
inference(light_normalisation,[status(thm)],[c_49767,c_49214]) ).
tcf(c_49827,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_49826,c_16246,c_12924]) ).
tcf(c_49831,plain,
frontsegP(cons(sK57,app(sK56,sK59)),cons(sK57,sK56)),
inference(backward_subsumption_resolution,[status(thm)],[c_47059,c_49784]) ).
tcf(c_49834,plain,
frontsegP(cons(sK57,app(sK56,sK60)),cons(sK57,sK56)),
inference(backward_subsumption_resolution,[status(thm)],[c_44050,c_49784]) ).
tcf(c_50005,plain,
( ( sK12(sK56,sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(sK12(sK56,sK56))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_49070,c_231]) ).
tcf(c_50013,plain,
( ( sK12(sK56,sK56) = nil )
| ~ ssList(sK12(sK56,sK56))
| ( nil != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50005,c_12924]) ).
tcf(c_50057,plain,
( ( cons(sK57,sK56) = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56))
| ~ rearsegP(sK56,cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_49785,c_184]) ).
tcf(c_50060,plain,
( ( cons(sK57,sK56) = sK56 )
| ~ rearsegP(sK56,cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50057,c_12924,c_49784]) ).
tcf(c_50572,plain,
( frontsegP(cons(sK57,app(sK59,sK56)),cons(sK57,sK59))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_49194,c_378]) ).
tcf(c_50573,plain,
( rearsegP(cons(sK57,app(sK59,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_49194,c_375]) ).
tcf(c_50574,plain,
( ssList(cons(sK57,app(sK59,sK56)))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_49194,c_153]) ).
tcf(c_50582,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_49194,c_29841]) ).
tcf(c_50583,plain,
ssList(cons(sK57,app(sK59,sK56))),
inference(forward_subsumption_resolution,[status(thm)],[c_50574,c_12924,c_45941]) ).
tcf(c_50584,plain,
rearsegP(cons(sK57,app(sK59,sK56)),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_50573,c_12924,c_45941]) ).
tcf(c_50585,plain,
frontsegP(cons(sK57,app(sK59,sK56)),cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_50572,c_12924,c_45941]) ).
tcf(c_50586,plain,
cons(sK57,app(sK59,sK56)) != sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_50582,c_45948,c_45941]) ).
tcf(c_50865,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_50584,c_184]) ).
tcf(c_50869,plain,
( ( cons(sK57,app(sK59,sK56)) = sK56 )
| ~ rearsegP(sK56,cons(sK57,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50865,c_12924,c_50583]) ).
tcf(c_50876,plain,
( frontsegP(app(sK59,sK56),sK59)
| ~ ssList(sK59)
| ~ ssItem(sK57)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_50585,c_179]) ).
tcf(c_50877,plain,
( frontsegP(app(sK59,sK56),sK59)
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50876,c_12926,c_12925]) ).
tcf(c_50915,plain,
( ( app(sK59,sK11(app(sK59,sK56),sK59)) = app(sK59,sK56) )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_50877,c_63]) ).
tcf(c_50916,plain,
( ( app(sK59,sK11(app(sK59,sK56),sK59)) = app(sK59,sK56) )
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50915,c_12926]) ).
tcf(c_50935,plain,
( frontsegP(cons(sK57,app(sK56,sK56)),cons(sK57,sK56))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_49195,c_378]) ).
tcf(c_50936,plain,
( rearsegP(cons(sK57,app(sK56,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_49195,c_375]) ).
tcf(c_50937,plain,
( ssList(cons(sK57,app(sK56,sK56)))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_49195,c_153]) ).
tcf(c_50945,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_49195,c_29841]) ).
tcf(c_50946,plain,
ssList(cons(sK57,app(sK56,sK56))),
inference(forward_subsumption_resolution,[status(thm)],[c_50937,c_12924,c_49784]) ).
tcf(c_50947,plain,
rearsegP(cons(sK57,app(sK56,sK56)),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_50936,c_12924,c_49784]) ).
tcf(c_50948,plain,
frontsegP(cons(sK57,app(sK56,sK56)),cons(sK57,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_50935,c_12924,c_49784]) ).
tcf(c_50949,plain,
cons(sK57,app(sK56,sK56)) != sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_50945,c_49791,c_49784]) ).
tcf(c_51021,plain,
( ( sK12(sK59,sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(sK12(sK59,sK59))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_49071,c_231]) ).
tcf(c_51031,plain,
( ( sK12(sK59,sK59) = nil )
| ~ ssList(sK12(sK59,sK59))
| ( nil != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51021,c_12926]) ).
tcf(c_51040,plain,
( ( sK12(sK60,sK60) = nil )
| ~ ssList(sK60)
| ~ ssList(sK12(sK60,sK60))
| ( nil != sK60 ) ),
inference(superposition,[status(thm)],[c_49072,c_231]) ).
tcf(c_51050,plain,
( ( sK12(sK60,sK60) = nil )
| ~ ssList(sK12(sK60,sK60))
| ( nil != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51040,c_12927]) ).
tcf(c_51457,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_50947,c_184]) ).
tcf(c_51461,plain,
( ( cons(sK57,app(sK56,sK56)) = sK56 )
| ~ rearsegP(sK56,cons(sK57,app(sK56,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51457,c_12924,c_50946]) ).
tcf(c_51618,plain,
( frontsegP(app(sK56,sK56),sK56)
| ~ ssList(sK56)
| ~ ssItem(sK57)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_50948,c_179]) ).
tcf(c_51619,plain,
( frontsegP(app(sK56,sK56),sK56)
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51618,c_12924,c_12925]) ).
tcf(c_51633,plain,
( ( app(sK56,sK11(app(sK56,sK56),sK56)) = app(sK56,sK56) )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_51619,c_63]) ).
tcf(c_51634,plain,
( ( app(sK56,sK11(app(sK56,sK56),sK56)) = app(sK56,sK56) )
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51633,c_12924]) ).
tcf(c_51890,plain,
( frontsegP(app(sK56,sK59),sK56)
| ~ ssList(sK56)
| ~ ssItem(sK57)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_49831,c_179]) ).
tcf(c_51891,plain,
( frontsegP(app(sK56,sK59),sK56)
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51890,c_12924,c_12925]) ).
tcf(c_51898,plain,
( frontsegP(app(sK56,sK60),sK56)
| ~ ssList(sK56)
| ~ ssItem(sK57)
| ~ ssList(app(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_49834,c_179]) ).
tcf(c_51899,plain,
( frontsegP(app(sK56,sK60),sK56)
| ~ ssList(app(sK56,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51898,c_12924,c_12925]) ).
tcf(c_52367,plain,
( ( app(sK56,sK11(app(sK56,sK59),sK56)) = app(sK56,sK59) )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_51891,c_63]) ).
tcf(c_52368,plain,
( ( app(sK56,sK11(app(sK56,sK59),sK56)) = app(sK56,sK59) )
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52367,c_12924]) ).
tcf(c_52387,plain,
( ( app(sK56,sK11(app(sK56,sK60),sK56)) = app(sK56,sK60) )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_51899,c_63]) ).
tcf(c_52388,plain,
( ( app(sK56,sK11(app(sK56,sK60),sK56)) = app(sK56,sK60) )
| ~ ssList(app(sK56,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52387,c_12924]) ).
tcf(c_54673,plain,
( ( app(sK12(sK56,sK11(sK56,nil)),sK11(sK56,nil)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(sK56,nil)) ),
inference(superposition,[status(thm)],[c_21335,c_66]) ).
tcf(c_54674,plain,
( ( app(sK12(sK56,sK11(sK56,nil)),sK11(sK56,nil)) = sK56 )
| ~ ssList(sK11(sK56,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54673,c_12924]) ).
tcf(c_54902,plain,
( ssItem(sK10(iPr_def_10))
| ~ singletonP(iPr_def_10)
| ~ ssList(iPr_def_10) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_55817,plain,
( ( app(sK12(sK59,sK11(sK59,nil)),sK11(sK59,nil)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(sK59,nil)) ),
inference(superposition,[status(thm)],[c_21347,c_66]) ).
tcf(c_55818,plain,
( ( app(sK12(sK59,sK11(sK59,nil)),sK11(sK59,nil)) = sK59 )
| ~ ssList(sK11(sK59,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55817,c_12926]) ).
tcf(c_55829,plain,
( ( app(sK12(sK60,sK11(sK60,nil)),sK11(sK60,nil)) = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK11(sK60,nil)) ),
inference(superposition,[status(thm)],[c_21359,c_66]) ).
tcf(c_55833,plain,
( ( app(sK12(sK60,sK11(sK60,nil)),sK11(sK60,nil)) = sK60 )
| ~ ssList(sK11(sK60,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55829,c_12927]) ).
tcf(c_56669,plain,
( ( app(sK12(sK56,nil),sK11(sK56,sK12(sK56,nil))) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK12(sK56,nil)) ),
inference(superposition,[status(thm)],[c_21897,c_63]) ).
tcf(c_56670,plain,
( ( app(sK12(sK56,nil),sK11(sK56,sK12(sK56,nil))) = sK56 )
| ~ ssList(sK12(sK56,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56669,c_12924]) ).
tcf(c_56681,plain,
( ( app(sK12(sK59,nil),sK11(sK59,sK12(sK59,nil))) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK12(sK59,nil)) ),
inference(superposition,[status(thm)],[c_21917,c_63]) ).
tcf(c_56685,plain,
( ( app(sK12(sK59,nil),sK11(sK59,sK12(sK59,nil))) = sK59 )
| ~ ssList(sK12(sK59,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56681,c_12926]) ).
tcf(c_56696,plain,
( ( app(sK12(sK60,nil),sK11(sK60,sK12(sK60,nil))) = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK12(sK60,nil)) ),
inference(superposition,[status(thm)],[c_21937,c_63]) ).
tcf(c_56697,plain,
( ( app(sK12(sK60,nil),sK11(sK60,sK12(sK60,nil))) = sK60 )
| ~ ssList(sK12(sK60,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56696,c_12927]) ).
tcf(c_56865,plain,
( segmentP(cons(sK57,app(sK60,sK60)),sK60)
| ~ ssList(sK60)
| ~ ssList(app(cons(sK57,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_42926,c_44419]) ).
tcf(c_56877,plain,
( segmentP(cons(sK57,app(sK60,sK60)),sK60)
| ~ ssList(sK60)
| ~ ssList(cons(sK57,app(sK60,sK60))) ),
inference(light_normalisation,[status(thm)],[c_56865,c_42926]) ).
tcf(c_56878,plain,
segmentP(cons(sK57,app(sK60,sK60)),sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_56877,c_12927,c_44423]) ).
tcf(c_57358,plain,
( ( cons(sK57,app(sK60,sK60)) = sK60 )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,app(sK60,sK60)))
| ~ segmentP(sK60,cons(sK57,app(sK60,sK60))) ),
inference(superposition,[status(thm)],[c_56878,c_191]) ).
tcf(c_57360,plain,
( ( cons(sK57,app(sK60,sK60)) = sK60 )
| ~ segmentP(sK60,cons(sK57,app(sK60,sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57358,c_12927,c_44423]) ).
tcf(c_57400,plain,
( ( app(sK60,sK11(app(sK60,sK60),sK60)) = app(sK60,sK60) )
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_153,c_45297]) ).
tcf(c_57401,plain,
app(sK60,sK11(app(sK60,sK60),sK60)) = app(sK60,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_57400,c_12927]) ).
tcf(c_58166,plain,
( frontsegP(iPr_def_12,sK59)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_17235,c_22254]) ).
tcf(c_58169,plain,
frontsegP(iPr_def_12,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_58166,c_12926]) ).
tcf(c_58190,plain,
( ( app(sK59,sK11(iPr_def_12,sK59)) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_58169,c_63]) ).
tcf(c_58191,plain,
( frontsegP(iPr_def_13,sK59)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_58169,c_22250]) ).
tcf(c_58192,plain,
frontsegP(iPr_def_13,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_58191,c_12926]) ).
tcf(c_58193,plain,
app(sK59,sK11(iPr_def_12,sK59)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_58190,c_16422,c_12926]) ).
tcf(c_58203,plain,
( ( app(sK59,sK11(iPr_def_13,sK59)) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_58192,c_63]) ).
tcf(c_58204,plain,
app(sK59,sK11(iPr_def_13,sK59)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_58203,c_15748,c_12926]) ).
tcf(c_58224,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK11(iPr_def_12,sK59)) ),
inference(superposition,[status(thm)],[c_58193,c_165]) ).
tcf(c_58230,plain,
( segmentP(iPr_def_12,sK59)
| ~ ssList(sK11(iPr_def_12,sK59))
| ~ ssList(app(sK59,sK11(iPr_def_12,sK59))) ),
inference(superposition,[status(thm)],[c_58193,c_31740]) ).
tcf(c_58244,plain,
( segmentP(iPr_def_12,sK59)
| ~ ssList(iPr_def_12)
| ~ ssList(sK11(iPr_def_12,sK59)) ),
inference(light_normalisation,[status(thm)],[c_58230,c_58193]) ).
tcf(c_58245,plain,
( segmentP(iPr_def_12,sK59)
| ~ ssList(sK11(iPr_def_12,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58244,c_16422]) ).
tcf(c_58251,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK11(iPr_def_12,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58224,c_12926]) ).
tcf(c_58341,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK11(iPr_def_13,sK59)) ),
inference(superposition,[status(thm)],[c_58204,c_165]) ).
tcf(c_58347,plain,
( segmentP(iPr_def_13,sK59)
| ~ ssList(sK11(iPr_def_13,sK59))
| ~ ssList(app(sK59,sK11(iPr_def_13,sK59))) ),
inference(superposition,[status(thm)],[c_58204,c_31740]) ).
tcf(c_58357,plain,
( segmentP(iPr_def_13,sK59)
| ~ ssList(iPr_def_13)
| ~ ssList(sK11(iPr_def_13,sK59)) ),
inference(light_normalisation,[status(thm)],[c_58347,c_58204]) ).
tcf(c_58358,plain,
( segmentP(iPr_def_13,sK59)
| ~ ssList(sK11(iPr_def_13,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58357,c_15748]) ).
tcf(c_58367,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK11(iPr_def_13,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58341,c_12926]) ).
tcf(c_58505,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(global_subsumption_just,[status(thm)],[c_58251,c_21486,c_21482]) ).
tcf(c_58514,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(global_subsumption_just,[status(thm)],[c_58367,c_21478,c_58505]) ).
tcf(c_59074,plain,
( segmentP(iPr_def_12,sK59)
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ~ frontsegP(iPr_def_12,sK59) ),
inference(superposition,[status(thm)],[c_62,c_58245]) ).
tcf(c_59075,plain,
segmentP(iPr_def_12,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_59074,c_16422,c_12926,c_58169]) ).
tcf(c_59092,plain,
( segmentP(iPr_def_13,sK59)
| ~ ssList(iPr_def_13)
| ~ ssList(sK59)
| ~ frontsegP(iPr_def_13,sK59) ),
inference(superposition,[status(thm)],[c_62,c_58358]) ).
tcf(c_59093,plain,
segmentP(iPr_def_13,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_59092,c_15748,c_12926,c_58192]) ).
tcf(c_60803,plain,
( segmentP(cons(sK57,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(app(cons(sK57,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_45434,c_45984]) ).
tcf(c_60812,plain,
( segmentP(cons(sK57,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK59,sK59))) ),
inference(light_normalisation,[status(thm)],[c_60803,c_45434]) ).
tcf(c_60813,plain,
segmentP(cons(sK57,app(sK59,sK59)),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_60812,c_12926,c_46477]) ).
tcf(c_60865,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_60813,c_191]) ).
tcf(c_60867,plain,
~ segmentP(sK59,cons(sK57,app(sK59,sK59))),
inference(forward_subsumption_resolution,[status(thm)],[c_60865,c_46480,c_12926,c_46477]) ).
tcf(c_61416,plain,
( ( app(sK60,sK11(app(sK60,sK59),sK60)) = app(sK60,sK59) )
| ~ ssList(sK60)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_153,c_46447]) ).
tcf(c_61417,plain,
app(sK60,sK11(app(sK60,sK59),sK60)) = app(sK60,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_61416,c_12927,c_12926]) ).
tcf(c_62371,plain,
( ( app(sK59,sK11(app(sK59,sK59),sK59)) = app(sK59,sK59) )
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_153,c_46985]) ).
tcf(c_62372,plain,
app(sK59,sK11(app(sK59,sK59),sK59)) = app(sK59,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_62371,c_12926]) ).
tcf(c_63271,plain,
( ( app(sK59,sK11(app(sK59,sK60),sK59)) = app(sK59,sK60) )
| ~ ssList(sK60)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_153,c_47023]) ).
tcf(c_63272,plain,
app(sK59,sK11(app(sK59,sK60),sK59)) = app(sK59,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_63271,c_12927,c_12926]) ).
tcf(c_64431,plain,
( ( app(sK60,sK11(app(sK60,sK56),sK60)) = app(sK60,sK56) )
| ~ ssList(sK56)
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_153,c_49731]) ).
tcf(c_64432,plain,
app(sK60,sK11(app(sK60,sK56),sK60)) = app(sK60,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_64431,c_12924,c_12927]) ).
tcf(c_66810,plain,
( segmentP(cons(sK57,app(sK56,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(app(cons(sK57,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_49195,c_49827]) ).
tcf(c_66816,plain,
( segmentP(cons(sK57,app(sK56,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK56,sK56))) ),
inference(light_normalisation,[status(thm)],[c_66810,c_49195]) ).
tcf(c_66817,plain,
segmentP(cons(sK57,app(sK56,sK56)),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_66816,c_12924,c_50946]) ).
tcf(c_66842,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_66817,c_191]) ).
tcf(c_66844,plain,
~ segmentP(sK56,cons(sK57,app(sK56,sK56))),
inference(forward_subsumption_resolution,[status(thm)],[c_66842,c_50949,c_12924,c_50946]) ).
tcf(c_67116,plain,
( ( app(sK59,sK11(app(sK59,sK56),sK59)) = app(sK59,sK56) )
| ~ ssList(sK56)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_153,c_50916]) ).
tcf(c_67117,plain,
app(sK59,sK11(app(sK59,sK56),sK59)) = app(sK59,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_67116,c_12924,c_12926]) ).
tcf(c_67727,plain,
( ( app(sK56,sK11(app(sK56,sK56),sK56)) = app(sK56,sK56) )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_153,c_51634]) ).
tcf(c_67728,plain,
app(sK56,sK11(app(sK56,sK56),sK56)) = app(sK56,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_67727,c_12924]) ).
tcf(c_68239,plain,
( ( app(sK56,sK11(app(sK56,sK59),sK56)) = app(sK56,sK59) )
| ~ ssList(sK56)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_153,c_52368]) ).
tcf(c_68240,plain,
app(sK56,sK11(app(sK56,sK59),sK56)) = app(sK56,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_68239,c_12924,c_12926]) ).
tcf(c_68898,plain,
( ( app(sK56,sK11(app(sK56,sK60),sK56)) = app(sK56,sK60) )
| ~ ssList(sK56)
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_153,c_52388]) ).
tcf(c_68899,plain,
app(sK56,sK11(app(sK56,sK60),sK56)) = app(sK56,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_68898,c_12924,c_12927]) ).
tcf(c_69519,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_54674]) ).
tcf(c_69520,plain,
app(sK12(sK56,sK11(sK56,nil)),sK11(sK56,nil)) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_69519,c_12924,c_141,c_17229]) ).
tcf(c_69583,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_55818]) ).
tcf(c_69584,plain,
app(sK12(sK59,sK11(sK59,nil)),sK11(sK59,nil)) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_69583,c_12926,c_141,c_17230]) ).
tcf(c_69690,plain,
( ( app(sK12(sK60,sK11(sK60,nil)),sK11(sK60,nil)) = sK60 )
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ frontsegP(sK60,nil) ),
inference(superposition,[status(thm)],[c_62,c_55833]) ).
tcf(c_69691,plain,
app(sK12(sK60,sK11(sK60,nil)),sK11(sK60,nil)) = sK60,
inference(forward_subsumption_resolution,[status(thm)],[c_69690,c_12927,c_141,c_17231]) ).
tcf(c_69754,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_56670]) ).
tcf(c_69755,plain,
app(sK12(sK56,nil),sK11(sK56,sK12(sK56,nil))) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_69754,c_12924,c_141,c_16961]) ).
tcf(c_70303,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_56685]) ).
tcf(c_70304,plain,
app(sK12(sK59,nil),sK11(sK59,sK12(sK59,nil))) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_70303,c_12926,c_141,c_16962]) ).
tcf(c_70739,plain,
( ( app(sK12(sK60,nil),sK11(sK60,sK12(sK60,nil))) = sK60 )
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ rearsegP(sK60,nil) ),
inference(superposition,[status(thm)],[c_65,c_56697]) ).
tcf(c_70740,plain,
app(sK12(sK60,nil),sK11(sK60,sK12(sK60,nil))) = sK60,
inference(forward_subsumption_resolution,[status(thm)],[c_70739,c_12927,c_141,c_16963]) ).
tcf(c_70912,plain,
( ssList(cons(sK57,iPr_def_13))
| ~ ssList(sK60)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_42939,c_153]) ).
tcf(c_70923,plain,
( ssList(cons(sK57,iPr_def_13))
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70912,c_12927]) ).
tcf(c_71010,plain,
( ssList(cons(sK57,iPr_def_13))
| ~ ssList(iPr_def_12)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_140,c_70923]) ).
tcf(c_71011,plain,
ssList(cons(sK57,iPr_def_13)),
inference(forward_subsumption_resolution,[status(thm)],[c_71010,c_16422,c_12925]) ).
tcf(c_73882,plain,
( ( sK11(sK56,sK56) = nil )
| ~ ssList(sK11(sK56,sK56)) ),
inference(global_subsumption_just,[status(thm)],[c_49644,c_36933]) ).
tcf(c_73888,plain,
( ( sK11(sK56,sK56) = nil )
| ~ ssList(sK56)
| ~ frontsegP(sK56,sK56) ),
inference(superposition,[status(thm)],[c_62,c_73882]) ).
tcf(c_73889,plain,
sK11(sK56,sK56) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_73888,c_12924,c_28373]) ).
tcf(c_78569,plain,
( ( sK11(sK59,sK59) = nil )
| ~ ssList(sK11(sK59,sK59)) ),
inference(global_subsumption_just,[status(thm)],[c_49656,c_36945]) ).
tcf(c_78575,plain,
( ( sK11(sK59,sK59) = nil )
| ~ ssList(sK59)
| ~ frontsegP(sK59,sK59) ),
inference(superposition,[status(thm)],[c_62,c_78569]) ).
tcf(c_78576,plain,
sK11(sK59,sK59) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_78575,c_12926,c_28374]) ).
tcf(c_80105,plain,
cons(sK57,iPr_def_11) = app(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_16421,c_20513]) ).
tcf(c_80106,plain,
cons(sK57,iPr_def_12) = app(iPr_def_10,iPr_def_12),
inference(superposition,[status(thm)],[c_16422,c_20513]) ).
tcf(c_80107,plain,
cons(sK57,iPr_def_10) = app(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_16246,c_20513]) ).
tcf(c_83419,plain,
( ssList(cons(sK57,iPr_def_11))
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_80105,c_153]) ).
tcf(c_83430,plain,
ssList(cons(sK57,iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_83419,c_16421,c_16246]) ).
tcf(c_83689,plain,
( ( sK11(sK60,sK60) = nil )
| ~ ssList(sK11(sK60,sK60)) ),
inference(global_subsumption_just,[status(thm)],[c_49668,c_36958]) ).
tcf(c_83695,plain,
( ( sK11(sK60,sK60) = nil )
| ~ ssList(sK60)
| ~ frontsegP(sK60,sK60) ),
inference(superposition,[status(thm)],[c_62,c_83689]) ).
tcf(c_83696,plain,
sK11(sK60,sK60) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_83695,c_12927,c_28375]) ).
tcf(c_83700,plain,
( ( sK12(sK56,sK56) = nil )
| ~ ssList(sK12(sK56,sK56)) ),
inference(global_subsumption_just,[status(thm)],[c_50013,c_31521]) ).
tcf(c_83706,plain,
( ( sK12(sK56,sK56) = nil )
| ~ ssList(sK56)
| ~ rearsegP(sK56,sK56) ),
inference(superposition,[status(thm)],[c_65,c_83700]) ).
tcf(c_83707,plain,
sK12(sK56,sK56) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_83706,c_12924,c_26297]) ).
tcf(c_83711,plain,
( ( sK12(sK59,sK59) = nil )
| ~ ssList(sK12(sK59,sK59)) ),
inference(global_subsumption_just,[status(thm)],[c_51031,c_31531]) ).
tcf(c_83717,plain,
( ( sK12(sK59,sK59) = nil )
| ~ ssList(sK59)
| ~ rearsegP(sK59,sK59) ),
inference(superposition,[status(thm)],[c_65,c_83711]) ).
tcf(c_83718,plain,
sK12(sK59,sK59) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_83717,c_12926,c_26298]) ).
tcf(c_83722,plain,
( ( sK12(sK60,sK60) = nil )
| ~ ssList(sK12(sK60,sK60)) ),
inference(global_subsumption_just,[status(thm)],[c_51050,c_31543]) ).
tcf(c_83728,plain,
( ( sK12(sK60,sK60) = nil )
| ~ ssList(sK60)
| ~ rearsegP(sK60,sK60) ),
inference(superposition,[status(thm)],[c_65,c_83722]) ).
tcf(c_83729,plain,
sK12(sK60,sK60) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_83728,c_12927,c_26299]) ).
tcf(c_86109,plain,
( ssList(cons(sK57,iPr_def_12))
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_80106,c_153]) ).
tcf(c_86120,plain,
ssList(cons(sK57,iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_86109,c_16422,c_16246]) ).
tcf(c_86934,plain,
( ssList(cons(sK57,iPr_def_10))
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_80107,c_153]) ).
tcf(c_86947,plain,
ssList(cons(sK57,iPr_def_10)),
inference(forward_subsumption_resolution,[status(thm)],[c_86934,c_16246]) ).
tcf(c_172540,plain,
ssList(iPr_def_13),
inference(light_normalisation,[status(thm)],[c_12923,c_12921]) ).
tcf(c_172541,plain,
singletonP(iPr_def_13),
inference(light_normalisation,[status(thm)],[c_12928,c_12921]) ).
tcf(c_172648,plain,
( totalorderedP(iPr_def_10)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_12917,c_203]) ).
tcf(c_172649,plain,
totalorderedP(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_172648,c_12925]) ).
tcf(c_172654,plain,
( strictorderedP(iPr_def_10)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_12917,c_209]) ).
tcf(c_172655,plain,
strictorderedP(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_172654,c_12925]) ).
tcf(c_172660,plain,
( duplicatefreeP(iPr_def_10)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_12917,c_215]) ).
tcf(c_172661,plain,
duplicatefreeP(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_172660,c_12925]) ).
tcf(c_172672,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_10),sK57)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sK57,nil))) ),
inference(superposition,[status(thm)],[c_12917,c_54]) ).
tcf(c_172673,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_10),sK57)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_10)) ),
inference(light_normalisation,[status(thm)],[c_172672,c_12917]) ).
tcf(c_172674,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_10),sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172673,c_141,c_12925]) ).
tcf(c_172682,plain,
( equalelemsP(iPr_def_10)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_12917,c_217]) ).
tcf(c_172683,plain,
equalelemsP(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_172682,c_12925]) ).
tcf(c_172710,plain,
( memberP(iPr_def_11,sK57)
| ~ ssList(sK59)
| ~ ssList(app(sK59,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_12918,c_172674]) ).
tcf(c_172711,plain,
( memberP(iPr_def_12,sK57)
| ~ ssList(iPr_def_11)
| ~ ssList(app(iPr_def_11,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_12919,c_172674]) ).
tcf(c_172712,plain,
( memberP(iPr_def_12,sK57)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_172711,c_12919]) ).
tcf(c_172716,plain,
( memberP(iPr_def_11,sK57)
| ~ ssList(iPr_def_11)
| ~ ssList(sK59) ),
inference(light_normalisation,[status(thm)],[c_172710,c_12918]) ).
tcf(c_172717,plain,
( memberP(iPr_def_11,sK57)
| ~ ssList(iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172716,c_12926]) ).
tcf(c_172720,plain,
memberP(iPr_def_11,sK57),
inference(global_subsumption_just,[status(thm)],[c_172717,c_15926,c_16421]) ).
tcf(c_172722,plain,
memberP(iPr_def_12,sK57),
inference(global_subsumption_just,[status(thm)],[c_172712,c_15921,c_16422,c_16421]) ).
tcf(c_172856,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_172866,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(nil,sK34(X0)) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_155]) ).
tcf(c_172867,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(nil,sK33(X0)) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_155]) ).
tcf(c_172868,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(nil,sK32(X0)) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_155]) ).
tcf(c_172869,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(nil,sK39(X0)) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_155]) ).
tcf(c_172870,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(nil,sK38(X0)) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_155]) ).
tcf(c_172871,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(nil,sK37(X0)) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_155]) ).
tcf(c_172872,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(nil,sK44(X0)) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_155]) ).
tcf(c_172873,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(nil,sK43(X0)) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_155]) ).
tcf(c_172874,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(nil,sK42(X0)) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_155]) ).
tcf(c_172875,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(nil,sK48(X0)) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_155]) ).
tcf(c_172876,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(nil,sK47(X0)) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_155]) ).
tcf(c_172878,plain,
app(nil,sK60) = sK60,
inference(superposition,[status(thm)],[c_12927,c_155]) ).
tcf(c_172879,plain,
app(nil,sK59) = sK59,
inference(superposition,[status(thm)],[c_12926,c_155]) ).
tcf(c_172880,plain,
app(nil,sK56) = sK56,
inference(superposition,[status(thm)],[c_12924,c_155]) ).
tcf(c_172881,plain,
app(nil,iPr_def_13) = iPr_def_13,
inference(superposition,[status(thm)],[c_172540,c_155]) ).
tcf(c_172941,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_172951,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK34(X0),nil) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_232]) ).
tcf(c_172952,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK33(X0),nil) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_232]) ).
tcf(c_172953,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK32(X0),nil) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_232]) ).
tcf(c_172954,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK39(X0),nil) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_232]) ).
tcf(c_172955,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK38(X0),nil) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_232]) ).
tcf(c_172956,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK37(X0),nil) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_232]) ).
tcf(c_172957,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK44(X0),nil) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_232]) ).
tcf(c_172958,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK43(X0),nil) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_232]) ).
tcf(c_172959,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK42(X0),nil) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_232]) ).
tcf(c_172960,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(sK48(X0),nil) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_232]) ).
tcf(c_172961,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(sK47(X0),nil) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_232]) ).
tcf(c_172963,plain,
app(sK60,nil) = sK60,
inference(superposition,[status(thm)],[c_12927,c_232]) ).
tcf(c_172964,plain,
app(sK59,nil) = sK59,
inference(superposition,[status(thm)],[c_12926,c_232]) ).
tcf(c_172965,plain,
app(sK56,nil) = sK56,
inference(superposition,[status(thm)],[c_12924,c_232]) ).
tcf(c_172966,plain,
app(iPr_def_13,nil) = iPr_def_13,
inference(superposition,[status(thm)],[c_172540,c_232]) ).
tcf(c_173028,plain,
( ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_12917,c_140]) ).
tcf(c_173029,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_173030,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_173031,plain,
ssList(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_173028,c_141,c_12925]) ).
tcf(c_173044,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(sK49(X0),nil) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_232]) ).
tcf(c_173045,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,sK49(X0)) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_155]) ).
tcf(c_173058,plain,
app(iPr_def_10,nil) = iPr_def_10,
inference(superposition,[status(thm)],[c_173031,c_232]) ).
tcf(c_173059,plain,
app(nil,iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_173031,c_155]) ).
tcf(c_173060,plain,
( memberP(iPr_def_10,sK57)
| ~ ssList(nil)
| ~ ssList(app(nil,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_173059,c_172674]) ).
tcf(c_173061,plain,
( memberP(iPr_def_10,sK57)
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_173060,c_173059]) ).
tcf(c_173062,plain,
memberP(iPr_def_10,sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_173061,c_173031,c_141]) ).
tcf(c_173075,plain,
! [X0: $i] :
( ( app(cons(sK6,X0),nil) = cons(sK6,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_51,c_173029]) ).
tcf(c_173076,plain,
! [X0: $i] :
( ( app(cons(sK7,X0),nil) = cons(sK7,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_52,c_173029]) ).
tcf(c_173077,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sK10(X0),X1),nil) = cons(sK10(X0),X1) )
| ~ singletonP(X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_59,c_173029]) ).
tcf(c_173084,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( app(cons(sK31(X0),X1),nil) = cons(sK31(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112,c_173029]) ).
tcf(c_173085,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( app(cons(sK30(X0),X1),nil) = cons(sK30(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_113,c_173029]) ).
tcf(c_173086,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( app(cons(sK36(X0),X1),nil) = cons(sK36(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_120,c_173029]) ).
tcf(c_173087,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( app(cons(sK35(X0),X1),nil) = cons(sK35(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_121,c_173029]) ).
tcf(c_173088,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( app(cons(sK41(X0),X1),nil) = cons(sK41(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_128,c_173029]) ).
tcf(c_173089,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( app(cons(sK40(X0),X1),nil) = cons(sK40(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_129,c_173029]) ).
tcf(c_173090,plain,
! [X0: $i,X1: $i] :
( equalelemsP(X0)
| ( app(cons(sK46(X0),X1),nil) = cons(sK46(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_135,c_173029]) ).
tcf(c_173091,plain,
! [X0: $i,X1: $i] :
( equalelemsP(X0)
| ( app(cons(sK45(X0),X1),nil) = cons(sK45(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_136,c_173029]) ).
tcf(c_173092,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( app(cons(sK50(X0),X1),nil) = cons(sK50(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_146,c_173029]) ).
tcf(c_173093,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( app(cons(hd(X0),X1),nil) = cons(hd(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_149,c_173029]) ).
tcf(c_173094,plain,
! [X0: $i] :
( ( app(cons(sK57,X0),nil) = cons(sK57,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12925,c_173029]) ).
tcf(c_173169,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(tl(X0),nil) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_232]) ).
tcf(c_173170,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,tl(X0)) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_155]) ).
tcf(c_173184,plain,
( ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_12918,c_153]) ).
tcf(c_173185,plain,
( ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_12919,c_153]) ).
tcf(c_173197,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_173198,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_173199,plain,
( ssList(iPr_def_12)
| ~ ssList(iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173185,c_173031]) ).
tcf(c_173202,plain,
ssList(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_173184,c_173031,c_12926]) ).
tcf(c_173203,plain,
ssList(iPr_def_12),
inference(backward_subsumption_resolution,[status(thm)],[c_173199,c_173202]) ).
tcf(c_173216,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( app(cons(sK51(X0),X1),nil) = cons(sK51(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_219,c_173029]) ).
tcf(c_173227,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(sK52(X0),nil) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_232]) ).
tcf(c_173228,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,sK52(X0)) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_155]) ).
tcf(c_173235,plain,
app(iPr_def_11,nil) = iPr_def_11,
inference(superposition,[status(thm)],[c_173202,c_232]) ).
tcf(c_173236,plain,
app(nil,iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_173202,c_155]) ).
tcf(c_173237,plain,
app(iPr_def_12,nil) = iPr_def_12,
inference(superposition,[status(thm)],[c_173203,c_232]) ).
tcf(c_173238,plain,
app(nil,iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_173203,c_155]) ).
tcf(c_173245,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sK57,sK8(X0,X1)),nil) = cons(sK57,sK8(X0,X1)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_173094]) ).
tcf(c_173246,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sK57,app(X0,X1)),nil) = cons(sK57,app(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_173094]) ).
tcf(c_173256,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(cons(sK57,sK34(X0)),nil) = cons(sK57,sK34(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_173094]) ).
tcf(c_173257,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(cons(sK57,sK33(X0)),nil) = cons(sK57,sK33(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_173094]) ).
tcf(c_173258,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(cons(sK57,sK32(X0)),nil) = cons(sK57,sK32(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_173094]) ).
tcf(c_173259,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(cons(sK57,sK39(X0)),nil) = cons(sK57,sK39(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_173094]) ).
tcf(c_173260,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(cons(sK57,sK38(X0)),nil) = cons(sK57,sK38(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_173094]) ).
tcf(c_173261,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(cons(sK57,sK37(X0)),nil) = cons(sK57,sK37(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_173094]) ).
tcf(c_173262,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(cons(sK57,sK44(X0)),nil) = cons(sK57,sK44(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_173094]) ).
tcf(c_173263,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(cons(sK57,sK43(X0)),nil) = cons(sK57,sK43(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_173094]) ).
tcf(c_173264,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(cons(sK57,sK42(X0)),nil) = cons(sK57,sK42(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_173094]) ).
tcf(c_173265,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(cons(sK57,sK48(X0)),nil) = cons(sK57,sK48(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_173094]) ).
tcf(c_173266,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(cons(sK57,sK47(X0)),nil) = cons(sK57,sK47(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_173094]) ).
tcf(c_173267,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sK57,cons(X0,X1)),nil) = cons(sK57,cons(X0,X1)) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_173094]) ).
tcf(c_173268,plain,
app(cons(sK57,nil),nil) = cons(sK57,nil),
inference(superposition,[status(thm)],[c_141,c_173094]) ).
tcf(c_173269,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(cons(sK57,sK49(X0)),nil) = cons(sK57,sK49(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_173094]) ).
tcf(c_173270,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(cons(sK57,tl(X0)),nil) = cons(sK57,tl(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_173094]) ).
tcf(c_173271,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(cons(sK57,sK52(X0)),nil) = cons(sK57,sK52(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_173094]) ).
tcf(c_173272,plain,
app(cons(sK57,sK60),nil) = cons(sK57,sK60),
inference(superposition,[status(thm)],[c_12927,c_173094]) ).
tcf(c_173273,plain,
app(cons(sK57,sK59),nil) = cons(sK57,sK59),
inference(superposition,[status(thm)],[c_12926,c_173094]) ).
tcf(c_173274,plain,
app(cons(sK57,sK56),nil) = cons(sK57,sK56),
inference(superposition,[status(thm)],[c_12924,c_173094]) ).
tcf(c_173275,plain,
app(cons(sK57,iPr_def_13),nil) = cons(sK57,iPr_def_13),
inference(superposition,[status(thm)],[c_172540,c_173094]) ).
tcf(c_173276,plain,
app(cons(sK57,iPr_def_11),nil) = cons(sK57,iPr_def_11),
inference(superposition,[status(thm)],[c_173202,c_173094]) ).
tcf(c_173277,plain,
app(cons(sK57,iPr_def_12),nil) = cons(sK57,iPr_def_12),
inference(superposition,[status(thm)],[c_173203,c_173094]) ).
tcf(c_173278,plain,
app(cons(sK57,iPr_def_10),nil) = cons(sK57,iPr_def_10),
inference(superposition,[status(thm)],[c_173031,c_173094]) ).
tcf(c_173376,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_173377,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_173387,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_173388,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_173389,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_173390,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_173391,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_173392,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_173393,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_173394,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_173395,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_173396,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_173397,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_173398,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_173400,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_173401,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_173402,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_173403,plain,
( duplicatefreeP(sK60)
| ( sK40(sK60) = sK41(sK60) ) ),
inference(superposition,[status(thm)],[c_12927,c_123]) ).
tcf(c_173404,plain,
( duplicatefreeP(sK59)
| ( sK40(sK59) = sK41(sK59) ) ),
inference(superposition,[status(thm)],[c_12926,c_123]) ).
tcf(c_173405,plain,
( duplicatefreeP(sK56)
| ( sK40(sK56) = sK41(sK56) ) ),
inference(superposition,[status(thm)],[c_12924,c_123]) ).
tcf(c_173406,plain,
( duplicatefreeP(iPr_def_13)
| ( sK40(iPr_def_13) = sK41(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_172540,c_123]) ).
tcf(c_173407,plain,
( duplicatefreeP(iPr_def_11)
| ( sK40(iPr_def_11) = sK41(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_173202,c_123]) ).
tcf(c_173408,plain,
( duplicatefreeP(iPr_def_12)
| ( sK40(iPr_def_12) = sK41(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_173203,c_123]) ).
tcf(c_173538,plain,
duplicatefreeP(iPr_def_13),
inference(global_subsumption_just,[status(thm)],[c_173406,c_20311]) ).
tcf(c_173574,plain,
! [X0: $i] :
( ( app(nil,cons(sK6,X0)) = cons(sK6,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_51,c_173030]) ).
tcf(c_173575,plain,
! [X0: $i] :
( ( app(nil,cons(sK7,X0)) = cons(sK7,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_52,c_173030]) ).
tcf(c_173576,plain,
! [X0: $i,X1: $i] :
( ( app(nil,cons(sK10(X0),X1)) = cons(sK10(X0),X1) )
| ~ singletonP(X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_59,c_173030]) ).
tcf(c_173583,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( app(nil,cons(sK31(X0),X1)) = cons(sK31(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112,c_173030]) ).
tcf(c_173584,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( app(nil,cons(sK30(X0),X1)) = cons(sK30(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_113,c_173030]) ).
tcf(c_173585,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( app(nil,cons(sK36(X0),X1)) = cons(sK36(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_120,c_173030]) ).
tcf(c_173586,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( app(nil,cons(sK35(X0),X1)) = cons(sK35(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_121,c_173030]) ).
tcf(c_173587,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( app(nil,cons(sK41(X0),X1)) = cons(sK41(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_128,c_173030]) ).
tcf(c_173588,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( app(nil,cons(sK40(X0),X1)) = cons(sK40(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_129,c_173030]) ).
tcf(c_173589,plain,
! [X0: $i,X1: $i] :
( equalelemsP(X0)
| ( app(nil,cons(sK46(X0),X1)) = cons(sK46(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_135,c_173030]) ).
tcf(c_173590,plain,
! [X0: $i,X1: $i] :
( equalelemsP(X0)
| ( app(nil,cons(sK45(X0),X1)) = cons(sK45(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_136,c_173030]) ).
tcf(c_173591,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( app(nil,cons(sK50(X0),X1)) = cons(sK50(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_146,c_173030]) ).
tcf(c_173592,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( app(nil,cons(hd(X0),X1)) = cons(hd(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_149,c_173030]) ).
tcf(c_173593,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( app(nil,cons(sK51(X0),X1)) = cons(sK51(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_219,c_173030]) ).
tcf(c_173594,plain,
! [X0: $i] :
( ( app(nil,cons(sK57,X0)) = cons(sK57,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12925,c_173030]) ).
tcf(c_173701,plain,
( rearsegP(iPr_def_11,iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_12918,c_375]) ).
tcf(c_173702,plain,
( rearsegP(iPr_def_12,iPr_def_10)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_12919,c_375]) ).
tcf(c_173703,plain,
( rearsegP(iPr_def_13,sK60)
| ~ ssList(iPr_def_12)
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_12920,c_375]) ).
tcf(c_173704,plain,
( rearsegP(iPr_def_10,iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173059,c_375]) ).
tcf(c_173705,plain,
( rearsegP(sK60,sK60)
| ~ ssList(sK60)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172878,c_375]) ).
tcf(c_173706,plain,
( rearsegP(sK59,sK59)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172879,c_375]) ).
tcf(c_173707,plain,
( rearsegP(sK56,sK56)
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172880,c_375]) ).
tcf(c_173708,plain,
( rearsegP(iPr_def_13,iPr_def_13)
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172881,c_375]) ).
tcf(c_173709,plain,
( rearsegP(sK60,nil)
| ~ ssList(sK60)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172963,c_375]) ).
tcf(c_173710,plain,
( rearsegP(sK59,nil)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172964,c_375]) ).
tcf(c_173711,plain,
( rearsegP(sK56,nil)
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172965,c_375]) ).
tcf(c_173712,plain,
( rearsegP(iPr_def_13,nil)
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172966,c_375]) ).
tcf(c_173713,plain,
( rearsegP(iPr_def_10,nil)
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173058,c_375]) ).
tcf(c_173714,plain,
( rearsegP(iPr_def_11,nil)
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173235,c_375]) ).
tcf(c_173715,plain,
( rearsegP(iPr_def_11,iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173236,c_375]) ).
tcf(c_173716,plain,
( rearsegP(iPr_def_12,nil)
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173237,c_375]) ).
tcf(c_173717,plain,
( rearsegP(iPr_def_12,iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173238,c_375]) ).
tcf(c_173718,plain,
( rearsegP(cons(sK57,sK60),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_173272,c_375]) ).
tcf(c_173719,plain,
( rearsegP(cons(sK57,sK59),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_173273,c_375]) ).
tcf(c_173720,plain,
( rearsegP(cons(sK57,sK56),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_173274,c_375]) ).
tcf(c_173721,plain,
( rearsegP(cons(sK57,iPr_def_13),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_173275,c_375]) ).
tcf(c_173722,plain,
( rearsegP(cons(sK57,iPr_def_11),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_173276,c_375]) ).
tcf(c_173723,plain,
( rearsegP(cons(sK57,iPr_def_12),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_173277,c_375]) ).
tcf(c_173724,plain,
( rearsegP(cons(sK57,iPr_def_10),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_173278,c_375]) ).
tcf(c_173725,plain,
rearsegP(iPr_def_12,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_173717,c_173203,c_141]) ).
tcf(c_173726,plain,
rearsegP(iPr_def_12,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_173716,c_173203,c_141]) ).
tcf(c_173727,plain,
rearsegP(iPr_def_11,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_173715,c_173202,c_141]) ).
tcf(c_173728,plain,
rearsegP(iPr_def_11,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_173714,c_173202,c_141]) ).
tcf(c_173729,plain,
rearsegP(iPr_def_10,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_173713,c_173031,c_141]) ).
tcf(c_173730,plain,
rearsegP(iPr_def_13,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_173712,c_172540,c_141]) ).
tcf(c_173731,plain,
rearsegP(sK56,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_173711,c_12924,c_141]) ).
tcf(c_173732,plain,
rearsegP(sK59,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_173710,c_12926,c_141]) ).
tcf(c_173733,plain,
rearsegP(sK60,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_173709,c_12927,c_141]) ).
tcf(c_173734,plain,
rearsegP(iPr_def_13,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_173708,c_172540,c_141]) ).
tcf(c_173735,plain,
rearsegP(sK56,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_173707,c_12924,c_141]) ).
tcf(c_173736,plain,
rearsegP(sK59,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_173706,c_12926,c_141]) ).
tcf(c_173737,plain,
rearsegP(sK60,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_173705,c_12927,c_141]) ).
tcf(c_173738,plain,
rearsegP(iPr_def_10,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_173704,c_173031,c_141]) ).
tcf(c_173739,plain,
rearsegP(iPr_def_13,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_173703,c_173203,c_12927]) ).
tcf(c_173740,plain,
rearsegP(iPr_def_12,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_173702,c_173202,c_173031]) ).
tcf(c_173741,plain,
rearsegP(iPr_def_11,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_173701,c_173031,c_12926]) ).
tcf(c_173742,plain,
( rearsegP(cons(sK57,iPr_def_10),nil)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173724,c_141]) ).
tcf(c_173745,plain,
( rearsegP(cons(sK57,iPr_def_12),nil)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173723,c_141]) ).
tcf(c_173748,plain,
( rearsegP(cons(sK57,iPr_def_11),nil)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173722,c_141]) ).
tcf(c_173751,plain,
( rearsegP(cons(sK57,iPr_def_13),nil)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173721,c_141]) ).
tcf(c_173754,plain,
( rearsegP(cons(sK57,sK56),nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173720,c_141]) ).
tcf(c_173757,plain,
( rearsegP(cons(sK57,sK59),nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173719,c_141]) ).
tcf(c_173760,plain,
( rearsegP(cons(sK57,sK60),nil)
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173718,c_141]) ).
tcf(c_173769,plain,
! [X0: $i,X1: $i] :
( ( sK8(X0,X1) = nil )
| ( app(sK49(sK8(X0,X1)),nil) = sK49(sK8(X0,X1)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_173044]) ).
tcf(c_173770,plain,
! [X0: $i,X1: $i] :
( ( app(X0,X1) = nil )
| ( app(sK49(app(X0,X1)),nil) = sK49(app(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_173044]) ).
tcf(c_173780,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( sK34(X0) = nil )
| ( app(sK49(sK34(X0)),nil) = sK49(sK34(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_173044]) ).
tcf(c_173781,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( sK33(X0) = nil )
| ( app(sK49(sK33(X0)),nil) = sK49(sK33(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_173044]) ).
tcf(c_173782,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( sK32(X0) = nil )
| ( app(sK49(sK32(X0)),nil) = sK49(sK32(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_173044]) ).
tcf(c_173783,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( sK39(X0) = nil )
| ( app(sK49(sK39(X0)),nil) = sK49(sK39(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_173044]) ).
tcf(c_173784,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( sK38(X0) = nil )
| ( app(sK49(sK38(X0)),nil) = sK49(sK38(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_173044]) ).
tcf(c_173785,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( sK37(X0) = nil )
| ( app(sK49(sK37(X0)),nil) = sK49(sK37(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_173044]) ).
tcf(c_173786,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( sK44(X0) = nil )
| ( app(sK49(sK44(X0)),nil) = sK49(sK44(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_173044]) ).
tcf(c_173787,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( sK43(X0) = nil )
| ( app(sK49(sK43(X0)),nil) = sK49(sK43(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_173044]) ).
tcf(c_173788,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( sK42(X0) = nil )
| ( app(sK49(sK42(X0)),nil) = sK49(sK42(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_173044]) ).
tcf(c_173789,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( sK48(X0) = nil )
| ( app(sK49(sK48(X0)),nil) = sK49(sK48(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_173044]) ).
tcf(c_173790,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( sK47(X0) = nil )
| ( app(sK49(sK47(X0)),nil) = sK49(sK47(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_173044]) ).
tcf(c_173791,plain,
! [X0: $i,X1: $i] :
( ( cons(X0,X1) = nil )
| ( app(sK49(cons(X0,X1)),nil) = sK49(cons(X0,X1)) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_173044]) ).
tcf(c_173793,plain,
! [X0: $i] :
( ( X0 = nil )
| ( sK49(X0) = nil )
| ( app(sK49(sK49(X0)),nil) = sK49(sK49(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_173044]) ).
tcf(c_173794,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(X0) = nil )
| ( app(sK49(tl(X0)),nil) = sK49(tl(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_173044]) ).
tcf(c_173795,plain,
! [X0: $i] :
( ( X0 = nil )
| ( sK52(X0) = nil )
| ( app(sK49(sK52(X0)),nil) = sK49(sK52(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_173044]) ).
tcf(c_173796,plain,
( ( nil = sK60 )
| ( app(sK49(sK60),nil) = sK49(sK60) ) ),
inference(superposition,[status(thm)],[c_12927,c_173044]) ).
tcf(c_173797,plain,
( ( nil = sK59 )
| ( app(sK49(sK59),nil) = sK49(sK59) ) ),
inference(superposition,[status(thm)],[c_12926,c_173044]) ).
tcf(c_173798,plain,
( ( nil = sK56 )
| ( app(sK49(sK56),nil) = sK49(sK56) ) ),
inference(superposition,[status(thm)],[c_12924,c_173044]) ).
tcf(c_173799,plain,
( ( nil = iPr_def_13 )
| ( app(sK49(iPr_def_13),nil) = sK49(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_172540,c_173044]) ).
tcf(c_173800,plain,
( ( nil = iPr_def_11 )
| ( app(sK49(iPr_def_11),nil) = sK49(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_173202,c_173044]) ).
tcf(c_173801,plain,
( ( nil = iPr_def_12 )
| ( app(sK49(iPr_def_12),nil) = sK49(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_173203,c_173044]) ).
tcf(c_173802,plain,
( ( nil = iPr_def_10 )
| ( app(sK49(iPr_def_10),nil) = sK49(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_173031,c_173044]) ).
tcf(c_173941,plain,
( frontsegP(iPr_def_11,sK59)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_12918,c_378]) ).
tcf(c_173942,plain,
( frontsegP(iPr_def_12,iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_12919,c_378]) ).
tcf(c_173943,plain,
( frontsegP(iPr_def_13,iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_12920,c_378]) ).
tcf(c_173944,plain,
( frontsegP(iPr_def_10,nil)
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173059,c_378]) ).
tcf(c_173945,plain,
( frontsegP(sK60,nil)
| ~ ssList(sK60)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172878,c_378]) ).
tcf(c_173946,plain,
( frontsegP(sK59,nil)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172879,c_378]) ).
tcf(c_173947,plain,
( frontsegP(sK56,nil)
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172880,c_378]) ).
tcf(c_173948,plain,
( frontsegP(iPr_def_13,nil)
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172881,c_378]) ).
tcf(c_173949,plain,
( frontsegP(sK60,sK60)
| ~ ssList(sK60)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172963,c_378]) ).
tcf(c_173950,plain,
( frontsegP(sK59,sK59)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172964,c_378]) ).
tcf(c_173951,plain,
( frontsegP(sK56,sK56)
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172965,c_378]) ).
tcf(c_173952,plain,
( frontsegP(iPr_def_13,iPr_def_13)
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172966,c_378]) ).
tcf(c_173953,plain,
( frontsegP(iPr_def_10,iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173058,c_378]) ).
tcf(c_173954,plain,
( frontsegP(iPr_def_11,iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173235,c_378]) ).
tcf(c_173955,plain,
( frontsegP(iPr_def_11,nil)
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173236,c_378]) ).
tcf(c_173956,plain,
( frontsegP(iPr_def_12,iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173237,c_378]) ).
tcf(c_173957,plain,
( frontsegP(iPr_def_12,nil)
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173238,c_378]) ).
tcf(c_173958,plain,
( frontsegP(cons(sK57,sK60),cons(sK57,sK60))
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_173272,c_378]) ).
tcf(c_173959,plain,
( frontsegP(cons(sK57,sK59),cons(sK57,sK59))
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_173273,c_378]) ).
tcf(c_173960,plain,
( frontsegP(cons(sK57,sK56),cons(sK57,sK56))
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_173274,c_378]) ).
tcf(c_173961,plain,
( frontsegP(cons(sK57,iPr_def_13),cons(sK57,iPr_def_13))
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_173275,c_378]) ).
tcf(c_173962,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_173276,c_378]) ).
tcf(c_173963,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_173277,c_378]) ).
tcf(c_173964,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_173278,c_378]) ).
tcf(c_173965,plain,
frontsegP(iPr_def_12,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_173957,c_173203,c_141]) ).
tcf(c_173966,plain,
frontsegP(iPr_def_12,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_173956,c_173203,c_141]) ).
tcf(c_173967,plain,
frontsegP(iPr_def_11,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_173955,c_173202,c_141]) ).
tcf(c_173968,plain,
frontsegP(iPr_def_11,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_173954,c_173202,c_141]) ).
tcf(c_173969,plain,
frontsegP(iPr_def_10,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_173953,c_173031,c_141]) ).
tcf(c_173970,plain,
frontsegP(iPr_def_13,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_173952,c_172540,c_141]) ).
tcf(c_173971,plain,
frontsegP(sK56,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_173951,c_12924,c_141]) ).
tcf(c_173972,plain,
frontsegP(sK59,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_173950,c_12926,c_141]) ).
tcf(c_173973,plain,
frontsegP(sK60,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_173949,c_12927,c_141]) ).
tcf(c_173974,plain,
frontsegP(iPr_def_13,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_173948,c_172540,c_141]) ).
tcf(c_173975,plain,
frontsegP(sK56,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_173947,c_12924,c_141]) ).
tcf(c_173976,plain,
frontsegP(sK59,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_173946,c_12926,c_141]) ).
tcf(c_173977,plain,
frontsegP(sK60,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_173945,c_12927,c_141]) ).
tcf(c_173978,plain,
frontsegP(iPr_def_10,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_173944,c_173031,c_141]) ).
tcf(c_173979,plain,
frontsegP(iPr_def_13,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_173943,c_173203,c_12927]) ).
tcf(c_173980,plain,
frontsegP(iPr_def_12,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_173942,c_173202,c_173031]) ).
tcf(c_173981,plain,
frontsegP(iPr_def_11,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_173941,c_173031,c_12926]) ).
tcf(c_173982,plain,
( frontsegP(cons(sK57,iPr_def_10),cons(sK57,iPr_def_10))
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173964,c_141]) ).
tcf(c_173985,plain,
( frontsegP(cons(sK57,iPr_def_12),cons(sK57,iPr_def_12))
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173963,c_141]) ).
tcf(c_173988,plain,
( frontsegP(cons(sK57,iPr_def_11),cons(sK57,iPr_def_11))
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173962,c_141]) ).
tcf(c_173991,plain,
( frontsegP(cons(sK57,iPr_def_13),cons(sK57,iPr_def_13))
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173961,c_141]) ).
tcf(c_173994,plain,
( frontsegP(cons(sK57,sK56),cons(sK57,sK56))
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173960,c_141]) ).
tcf(c_173997,plain,
( frontsegP(cons(sK57,sK59),cons(sK57,sK59))
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173959,c_141]) ).
tcf(c_174000,plain,
( frontsegP(cons(sK57,sK60),cons(sK57,sK60))
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173958,c_141]) ).
tcf(c_174018,plain,
! [X0: $i] :
( singletonP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(global_subsumption_just,[status(thm)],[c_58,c_17295]) ).
tcf(c_174024,plain,
( singletonP(iPr_def_10)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_12917,c_174018]) ).
tcf(c_174025,plain,
singletonP(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_174024,c_12925]) ).
tcf(c_174040,plain,
! [X0: $i] :
( ( cons(sK10(cons(X0,nil)),nil) = cons(X0,nil) )
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(superposition,[status(thm)],[c_174018,c_60]) ).
tcf(c_174041,plain,
( ( cons(sK10(iPr_def_13),nil) = iPr_def_13 )
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_172541,c_60]) ).
tcf(c_174042,plain,
cons(sK10(iPr_def_13),nil) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_174041,c_172540]) ).
tcf(c_174047,plain,
( ( cons(sK10(iPr_def_10),nil) = iPr_def_10 )
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_174025,c_60]) ).
tcf(c_174048,plain,
cons(sK10(iPr_def_10),nil) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_174047,c_173031]) ).
tcf(c_174059,plain,
( frontsegP(sK49(sK60),sK49(sK60))
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(sK49(sK60)) ),
inference(superposition,[status(thm)],[c_173796,c_378]) ).
tcf(c_174060,plain,
( rearsegP(sK49(sK60),nil)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(sK49(sK60)) ),
inference(superposition,[status(thm)],[c_173796,c_375]) ).
tcf(c_174062,plain,
( rearsegP(sK49(sK60),nil)
| ( nil = sK60 )
| ~ ssList(sK49(sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174060,c_141]) ).
tcf(c_174066,plain,
( frontsegP(sK49(sK60),sK49(sK60))
| ( nil = sK60 )
| ~ ssList(sK49(sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174059,c_141]) ).
tcf(c_174076,plain,
( ~ ssList(nil)
| ~ ssItem(sK57)
| ( nil != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_12917,c_142]) ).
tcf(c_174077,plain,
nil != iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_174076,c_141,c_12925]) ).
tcf(c_174091,plain,
! [X0: $i] :
( ( hd(cons(sK6,X0)) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_51,c_150]) ).
tcf(c_174092,plain,
! [X0: $i] :
( ( hd(cons(sK7,X0)) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_52,c_150]) ).
tcf(c_174093,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_174100,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_174101,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_174102,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_174103,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_174104,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_174105,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_174106,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_174107,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_174108,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_174109,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_174110,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_174111,plain,
! [X0: $i] :
( ( hd(cons(sK57,X0)) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12925,c_150]) ).
tcf(c_174212,plain,
! [X0: $i] :
( ( tl(cons(sK6,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_51,c_152]) ).
tcf(c_174213,plain,
! [X0: $i] :
( ( tl(cons(sK7,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_52,c_152]) ).
tcf(c_174214,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_174221,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_174222,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_174223,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_174224,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_174225,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_174226,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_174227,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_174228,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_174229,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_174230,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_174231,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_174232,plain,
! [X0: $i] :
( ( tl(cons(sK57,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12925,c_152]) ).
tcf(c_174330,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_174111]) ).
tcf(c_174331,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK57,app(X0,X1))) = sK57 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_174111]) ).
tcf(c_174341,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK57,sK34(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_174111]) ).
tcf(c_174342,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK57,sK33(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_174111]) ).
tcf(c_174343,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK57,sK32(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_174111]) ).
tcf(c_174344,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK57,sK39(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_174111]) ).
tcf(c_174345,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK57,sK38(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_174111]) ).
tcf(c_174346,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK57,sK37(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_174111]) ).
tcf(c_174347,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK57,sK44(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_174111]) ).
tcf(c_174348,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK57,sK43(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_174111]) ).
tcf(c_174349,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK57,sK42(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_174111]) ).
tcf(c_174350,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(cons(sK57,sK48(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_174111]) ).
tcf(c_174351,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(cons(sK57,sK47(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_174111]) ).
tcf(c_174352,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK57,cons(X0,X1))) = sK57 )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_174111]) ).
tcf(c_174353,plain,
hd(cons(sK57,nil)) = sK57,
inference(superposition,[status(thm)],[c_141,c_174111]) ).
tcf(c_174354,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK57,sK49(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_174111]) ).
tcf(c_174355,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK57,tl(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_174111]) ).
tcf(c_174356,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK57,sK52(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_174111]) ).
tcf(c_174357,plain,
hd(cons(sK57,sK60)) = sK57,
inference(superposition,[status(thm)],[c_12927,c_174111]) ).
tcf(c_174358,plain,
hd(cons(sK57,sK59)) = sK57,
inference(superposition,[status(thm)],[c_12926,c_174111]) ).
tcf(c_174359,plain,
hd(cons(sK57,sK56)) = sK57,
inference(superposition,[status(thm)],[c_12924,c_174111]) ).
tcf(c_174360,plain,
hd(cons(sK57,iPr_def_13)) = sK57,
inference(superposition,[status(thm)],[c_172540,c_174111]) ).
tcf(c_174361,plain,
hd(cons(sK57,iPr_def_11)) = sK57,
inference(superposition,[status(thm)],[c_173202,c_174111]) ).
tcf(c_174362,plain,
hd(cons(sK57,iPr_def_12)) = sK57,
inference(superposition,[status(thm)],[c_173203,c_174111]) ).
tcf(c_174363,plain,
hd(cons(sK57,iPr_def_10)) = sK57,
inference(superposition,[status(thm)],[c_173031,c_174111]) ).
tcf(c_174364,plain,
hd(iPr_def_10) = sK57,
inference(light_normalisation,[status(thm)],[c_174353,c_12917]) ).
tcf(c_174477,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_174232]) ).
tcf(c_174478,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_174232]) ).
tcf(c_174488,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK57,sK34(X0))) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_174232]) ).
tcf(c_174489,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK57,sK33(X0))) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_174232]) ).
tcf(c_174490,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK57,sK32(X0))) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_174232]) ).
tcf(c_174491,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK57,sK39(X0))) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_174232]) ).
tcf(c_174492,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK57,sK38(X0))) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_174232]) ).
tcf(c_174493,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK57,sK37(X0))) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_174232]) ).
tcf(c_174494,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK57,sK44(X0))) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_174232]) ).
tcf(c_174495,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK57,sK43(X0))) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_174232]) ).
tcf(c_174496,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK57,sK42(X0))) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_174232]) ).
tcf(c_174497,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( tl(cons(sK57,sK48(X0))) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_174232]) ).
tcf(c_174498,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( tl(cons(sK57,sK47(X0))) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_174232]) ).
tcf(c_174499,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_174232]) ).
tcf(c_174500,plain,
tl(cons(sK57,nil)) = nil,
inference(superposition,[status(thm)],[c_141,c_174232]) ).
tcf(c_174501,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK57,sK49(X0))) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_174232]) ).
tcf(c_174502,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK57,tl(X0))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_174232]) ).
tcf(c_174503,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK57,sK52(X0))) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_174232]) ).
tcf(c_174504,plain,
tl(cons(sK57,sK60)) = sK60,
inference(superposition,[status(thm)],[c_12927,c_174232]) ).
tcf(c_174505,plain,
tl(cons(sK57,sK59)) = sK59,
inference(superposition,[status(thm)],[c_12926,c_174232]) ).
tcf(c_174506,plain,
tl(cons(sK57,sK56)) = sK56,
inference(superposition,[status(thm)],[c_12924,c_174232]) ).
tcf(c_174507,plain,
tl(cons(sK57,iPr_def_13)) = iPr_def_13,
inference(superposition,[status(thm)],[c_172540,c_174232]) ).
tcf(c_174508,plain,
tl(cons(sK57,iPr_def_11)) = iPr_def_11,
inference(superposition,[status(thm)],[c_173202,c_174232]) ).
tcf(c_174509,plain,
tl(cons(sK57,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_173203,c_174232]) ).
tcf(c_174510,plain,
tl(cons(sK57,iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_173031,c_174232]) ).
tcf(c_174511,plain,
tl(iPr_def_10) = nil,
inference(light_normalisation,[status(thm)],[c_174500,c_12917]) ).
tcf(c_174616,plain,
( frontsegP(sK49(sK59),sK49(sK59))
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(sK49(sK59)) ),
inference(superposition,[status(thm)],[c_173797,c_378]) ).
tcf(c_174617,plain,
( rearsegP(sK49(sK59),nil)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(sK49(sK59)) ),
inference(superposition,[status(thm)],[c_173797,c_375]) ).
tcf(c_174619,plain,
( rearsegP(sK49(sK59),nil)
| ( nil = sK59 )
| ~ ssList(sK49(sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174617,c_141]) ).
tcf(c_174623,plain,
( frontsegP(sK49(sK59),sK49(sK59))
| ( nil = sK59 )
| ~ ssList(sK49(sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174616,c_141]) ).
tcf(c_174676,plain,
( frontsegP(sK49(sK56),sK49(sK56))
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(sK49(sK56)) ),
inference(superposition,[status(thm)],[c_173798,c_378]) ).
tcf(c_174677,plain,
( rearsegP(sK49(sK56),nil)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(sK49(sK56)) ),
inference(superposition,[status(thm)],[c_173798,c_375]) ).
tcf(c_174679,plain,
( rearsegP(sK49(sK56),nil)
| ( nil = sK56 )
| ~ ssList(sK49(sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174677,c_141]) ).
tcf(c_174683,plain,
( frontsegP(sK49(sK56),sK49(sK56))
| ( nil = sK56 )
| ~ ssList(sK49(sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174676,c_141]) ).
tcf(c_174691,plain,
! [X0: $i,X1: $i] :
( ( app(nil,cons(sK57,sK8(X0,X1))) = cons(sK57,sK8(X0,X1)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_173594]) ).
tcf(c_174692,plain,
! [X0: $i,X1: $i] :
( ( app(nil,cons(sK57,app(X0,X1))) = cons(sK57,app(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_173594]) ).
tcf(c_174702,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(nil,cons(sK57,sK34(X0))) = cons(sK57,sK34(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_173594]) ).
tcf(c_174703,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(nil,cons(sK57,sK33(X0))) = cons(sK57,sK33(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_173594]) ).
tcf(c_174704,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(nil,cons(sK57,sK32(X0))) = cons(sK57,sK32(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_173594]) ).
tcf(c_174705,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(nil,cons(sK57,sK39(X0))) = cons(sK57,sK39(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_173594]) ).
tcf(c_174706,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(nil,cons(sK57,sK38(X0))) = cons(sK57,sK38(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_173594]) ).
tcf(c_174707,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(nil,cons(sK57,sK37(X0))) = cons(sK57,sK37(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_173594]) ).
tcf(c_174708,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(nil,cons(sK57,sK44(X0))) = cons(sK57,sK44(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_173594]) ).
tcf(c_174709,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(nil,cons(sK57,sK43(X0))) = cons(sK57,sK43(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_173594]) ).
tcf(c_174710,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(nil,cons(sK57,sK42(X0))) = cons(sK57,sK42(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_173594]) ).
tcf(c_174711,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(nil,cons(sK57,sK48(X0))) = cons(sK57,sK48(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_173594]) ).
tcf(c_174712,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(nil,cons(sK57,sK47(X0))) = cons(sK57,sK47(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_173594]) ).
tcf(c_174713,plain,
! [X0: $i,X1: $i] :
( ( app(nil,cons(sK57,cons(X0,X1))) = cons(sK57,cons(X0,X1)) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_173594]) ).
tcf(c_174714,plain,
app(nil,cons(sK57,nil)) = cons(sK57,nil),
inference(superposition,[status(thm)],[c_141,c_173594]) ).
tcf(c_174715,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,cons(sK57,sK49(X0))) = cons(sK57,sK49(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_173594]) ).
tcf(c_174716,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,cons(sK57,tl(X0))) = cons(sK57,tl(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_173594]) ).
tcf(c_174717,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,cons(sK57,sK52(X0))) = cons(sK57,sK52(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_173594]) ).
tcf(c_174718,plain,
app(nil,cons(sK57,sK60)) = cons(sK57,sK60),
inference(superposition,[status(thm)],[c_12927,c_173594]) ).
tcf(c_174719,plain,
app(nil,cons(sK57,sK59)) = cons(sK57,sK59),
inference(superposition,[status(thm)],[c_12926,c_173594]) ).
tcf(c_174720,plain,
app(nil,cons(sK57,sK56)) = cons(sK57,sK56),
inference(superposition,[status(thm)],[c_12924,c_173594]) ).
tcf(c_174721,plain,
app(nil,cons(sK57,iPr_def_13)) = cons(sK57,iPr_def_13),
inference(superposition,[status(thm)],[c_172540,c_173594]) ).
tcf(c_174722,plain,
app(nil,cons(sK57,iPr_def_11)) = cons(sK57,iPr_def_11),
inference(superposition,[status(thm)],[c_173202,c_173594]) ).
tcf(c_174723,plain,
app(nil,cons(sK57,iPr_def_12)) = cons(sK57,iPr_def_12),
inference(superposition,[status(thm)],[c_173203,c_173594]) ).
tcf(c_174724,plain,
app(nil,cons(sK57,iPr_def_10)) = cons(sK57,iPr_def_10),
inference(superposition,[status(thm)],[c_173031,c_173594]) ).
tcf(c_174826,plain,
( memberP(cons(sK57,sK60),sK57)
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(app(nil,cons(sK57,sK60))) ),
inference(superposition,[status(thm)],[c_174718,c_54]) ).
tcf(c_174827,plain,
( frontsegP(cons(sK57,sK60),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_174718,c_378]) ).
tcf(c_174828,plain,
( rearsegP(cons(sK57,sK60),cons(sK57,sK60))
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_174718,c_375]) ).
tcf(c_174830,plain,
( frontsegP(cons(sK57,sK60),nil)
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174827,c_141]) ).
tcf(c_174833,plain,
( rearsegP(cons(sK57,sK60),cons(sK57,sK60))
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174828,c_141]) ).
tcf(c_174836,plain,
( memberP(cons(sK57,sK60),sK57)
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,sK60)) ),
inference(light_normalisation,[status(thm)],[c_174826,c_174718]) ).
tcf(c_174837,plain,
( memberP(cons(sK57,sK60),sK57)
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174836,c_12927,c_141,c_12925]) ).
tcf(c_174840,plain,
( memberP(cons(sK57,sK59),sK57)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(app(nil,cons(sK57,sK59))) ),
inference(superposition,[status(thm)],[c_174719,c_54]) ).
tcf(c_174841,plain,
( frontsegP(cons(sK57,sK59),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_174719,c_378]) ).
tcf(c_174842,plain,
( rearsegP(cons(sK57,sK59),cons(sK57,sK59))
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_174719,c_375]) ).
tcf(c_174844,plain,
( frontsegP(cons(sK57,sK59),nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174841,c_141]) ).
tcf(c_174847,plain,
( rearsegP(cons(sK57,sK59),cons(sK57,sK59))
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174842,c_141]) ).
tcf(c_174850,plain,
( memberP(cons(sK57,sK59),sK57)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,sK59)) ),
inference(light_normalisation,[status(thm)],[c_174840,c_174719]) ).
tcf(c_174851,plain,
( memberP(cons(sK57,sK59),sK57)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174850,c_12926,c_141,c_12925]) ).
tcf(c_174854,plain,
( memberP(cons(sK57,sK56),sK57)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(app(nil,cons(sK57,sK56))) ),
inference(superposition,[status(thm)],[c_174720,c_54]) ).
tcf(c_174855,plain,
( frontsegP(cons(sK57,sK56),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_174720,c_378]) ).
tcf(c_174856,plain,
( rearsegP(cons(sK57,sK56),cons(sK57,sK56))
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_174720,c_375]) ).
tcf(c_174858,plain,
( frontsegP(cons(sK57,sK56),nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174855,c_141]) ).
tcf(c_174861,plain,
( rearsegP(cons(sK57,sK56),cons(sK57,sK56))
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174856,c_141]) ).
tcf(c_174864,plain,
( memberP(cons(sK57,sK56),sK57)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,sK56)) ),
inference(light_normalisation,[status(thm)],[c_174854,c_174720]) ).
tcf(c_174865,plain,
( memberP(cons(sK57,sK56),sK57)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174864,c_12924,c_141,c_12925]) ).
tcf(c_174868,plain,
memberP(cons(sK57,sK60),sK57),
inference(global_subsumption_just,[status(thm)],[c_174837,c_18145,c_44373]) ).
tcf(c_174870,plain,
memberP(cons(sK57,sK59),sK57),
inference(global_subsumption_just,[status(thm)],[c_174851,c_18163,c_45941]) ).
tcf(c_174872,plain,
app(sK49(iPr_def_13),nil) = sK49(iPr_def_13),
inference(global_subsumption_just,[status(thm)],[c_173799,c_17044,c_21048]) ).
tcf(c_174874,plain,
( frontsegP(sK49(iPr_def_13),sK49(iPr_def_13))
| ~ ssList(nil)
| ~ ssList(sK49(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_174872,c_378]) ).
tcf(c_174875,plain,
( rearsegP(sK49(iPr_def_13),nil)
| ~ ssList(nil)
| ~ ssList(sK49(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_174872,c_375]) ).
tcf(c_174877,plain,
( rearsegP(sK49(iPr_def_13),nil)
| ~ ssList(sK49(iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174875,c_141]) ).
tcf(c_174880,plain,
( frontsegP(sK49(iPr_def_13),sK49(iPr_def_13))
| ~ ssList(sK49(iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174874,c_141]) ).
tcf(c_174889,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_174890,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_174900,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_174901,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_174902,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_174903,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_174904,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_174905,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_174906,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_174907,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_174908,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_174909,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_174910,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_174911,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_174913,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_174914,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_174915,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_174916,plain,
( ( nil = sK60 )
| ( hd(sK60) = sK51(sK60) ) ),
inference(superposition,[status(thm)],[c_12927,c_220]) ).
tcf(c_174917,plain,
( ( nil = sK59 )
| ( hd(sK59) = sK51(sK59) ) ),
inference(superposition,[status(thm)],[c_12926,c_220]) ).
tcf(c_174918,plain,
( ( nil = sK56 )
| ( hd(sK56) = sK51(sK56) ) ),
inference(superposition,[status(thm)],[c_12924,c_220]) ).
tcf(c_174919,plain,
( ( nil = iPr_def_13 )
| ( hd(iPr_def_13) = sK51(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_172540,c_220]) ).
tcf(c_174920,plain,
( ( nil = iPr_def_11 )
| ( hd(iPr_def_11) = sK51(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_173202,c_220]) ).
tcf(c_174921,plain,
( ( nil = iPr_def_12 )
| ( hd(iPr_def_12) = sK51(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_173203,c_220]) ).
tcf(c_174922,plain,
( ( nil = iPr_def_10 )
| ( hd(iPr_def_10) = sK51(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_173031,c_220]) ).
tcf(c_174923,plain,
( ( nil = iPr_def_10 )
| ( sK51(iPr_def_10) = sK57 ) ),
inference(light_normalisation,[status(thm)],[c_174922,c_174364]) ).
tcf(c_174924,plain,
sK51(iPr_def_10) = sK57,
inference(forward_subsumption_resolution,[status(thm)],[c_174923,c_174077]) ).
tcf(c_175078,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_175079,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_175089,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_175090,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_175091,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_175092,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_175093,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_175094,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_175095,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_175096,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_175097,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_175098,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_175099,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_175100,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_175102,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_175103,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_175104,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_175105,plain,
( ( nil = sK60 )
| ( tl(sK60) = sK52(sK60) ) ),
inference(superposition,[status(thm)],[c_12927,c_222]) ).
tcf(c_175106,plain,
( ( nil = sK59 )
| ( tl(sK59) = sK52(sK59) ) ),
inference(superposition,[status(thm)],[c_12926,c_222]) ).
tcf(c_175107,plain,
( ( nil = sK56 )
| ( tl(sK56) = sK52(sK56) ) ),
inference(superposition,[status(thm)],[c_12924,c_222]) ).
tcf(c_175108,plain,
( ( nil = iPr_def_13 )
| ( tl(iPr_def_13) = sK52(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_172540,c_222]) ).
tcf(c_175109,plain,
( ( nil = iPr_def_11 )
| ( tl(iPr_def_11) = sK52(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_173202,c_222]) ).
tcf(c_175110,plain,
( ( nil = iPr_def_12 )
| ( tl(iPr_def_12) = sK52(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_173203,c_222]) ).
tcf(c_175111,plain,
( ( nil = iPr_def_10 )
| ( tl(iPr_def_10) = sK52(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_173031,c_222]) ).
tcf(c_175112,plain,
( ( nil = iPr_def_10 )
| ( sK52(iPr_def_10) = nil ) ),
inference(light_normalisation,[status(thm)],[c_175111,c_174511]) ).
tcf(c_175113,plain,
sK52(iPr_def_10) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_175112,c_174077]) ).
tcf(c_175287,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_175288,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_175289,plain,
! [X0: $i,X1: $i] :
( ( app(nil,cons(sK57,sK9(X0,X1))) = cons(sK57,sK9(X0,X1)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_173594]) ).
tcf(c_175290,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_174232]) ).
tcf(c_175291,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_174111]) ).
tcf(c_175292,plain,
! [X0: $i,X1: $i] :
( ( sK9(X0,X1) = nil )
| ( app(sK49(sK9(X0,X1)),nil) = sK49(sK9(X0,X1)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_173044]) ).
tcf(c_175293,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_175294,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sK57,sK9(X0,X1)),nil) = cons(sK57,sK9(X0,X1)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_173094]) ).
tcf(c_175295,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_175296,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_175346,plain,
memberP(cons(sK57,sK56),sK57),
inference(global_subsumption_just,[status(thm)],[c_174865,c_18183,c_49784]) ).
tcf(c_175352,plain,
( ssItem(hd(sK60))
| ( nil = sK60 )
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_174916,c_219]) ).
tcf(c_175353,plain,
( ssItem(hd(sK60))
| ( nil = sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175352,c_12927]) ).
tcf(c_175360,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( tl(cons(hd(sK60),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175353,c_152]) ).
tcf(c_175361,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( hd(cons(hd(sK60),X0)) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175353,c_150]) ).
tcf(c_175362,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( app(nil,cons(hd(sK60),X0)) = cons(hd(sK60),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175353,c_173030]) ).
tcf(c_175363,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( app(cons(hd(sK60),X0),nil) = cons(hd(sK60),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175353,c_173029]) ).
tcf(c_175384,plain,
( ssItem(hd(sK59))
| ( nil = sK59 )
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_174917,c_219]) ).
tcf(c_175385,plain,
( ssItem(hd(sK59))
| ( nil = sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175384,c_12926]) ).
tcf(c_175392,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( tl(cons(hd(sK59),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175385,c_152]) ).
tcf(c_175393,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( hd(cons(hd(sK59),X0)) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175385,c_150]) ).
tcf(c_175394,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( app(nil,cons(hd(sK59),X0)) = cons(hd(sK59),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175385,c_173030]) ).
tcf(c_175395,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( app(cons(hd(sK59),X0),nil) = cons(hd(sK59),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175385,c_173029]) ).
tcf(c_175416,plain,
( ssItem(hd(sK56))
| ( nil = sK56 )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_174918,c_219]) ).
tcf(c_175417,plain,
( ssItem(hd(sK56))
| ( nil = sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175416,c_12924]) ).
tcf(c_175424,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( tl(cons(hd(sK56),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175417,c_152]) ).
tcf(c_175425,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( hd(cons(hd(sK56),X0)) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175417,c_150]) ).
tcf(c_175426,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( app(nil,cons(hd(sK56),X0)) = cons(hd(sK56),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175417,c_173030]) ).
tcf(c_175427,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( app(cons(hd(sK56),X0),nil) = cons(hd(sK56),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175417,c_173029]) ).
tcf(c_175447,plain,
( ssList(tl(sK60))
| ( nil = sK60 )
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_175105,c_221]) ).
tcf(c_175448,plain,
( ssList(tl(sK60))
| ( nil = sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175447,c_12927]) ).
tcf(c_175451,plain,
app(sK49(iPr_def_11),nil) = sK49(iPr_def_11),
inference(global_subsumption_just,[status(thm)],[c_173800,c_17045,c_20882]) ).
tcf(c_175453,plain,
( frontsegP(sK49(iPr_def_11),sK49(iPr_def_11))
| ~ ssList(nil)
| ~ ssList(sK49(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_175451,c_378]) ).
tcf(c_175454,plain,
( rearsegP(sK49(iPr_def_11),nil)
| ~ ssList(nil)
| ~ ssList(sK49(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_175451,c_375]) ).
tcf(c_175456,plain,
( rearsegP(sK49(iPr_def_11),nil)
| ~ ssList(sK49(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175454,c_141]) ).
tcf(c_175459,plain,
( frontsegP(sK49(iPr_def_11),sK49(iPr_def_11))
| ~ ssList(sK49(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175453,c_141]) ).
tcf(c_175470,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_175471,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_175472,plain,
! [X0: $i,X1: $i] :
( ( app(nil,cons(sK57,sK11(X0,X1))) = cons(sK57,sK11(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_173594]) ).
tcf(c_175473,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_174232]) ).
tcf(c_175474,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_174111]) ).
tcf(c_175475,plain,
! [X0: $i,X1: $i] :
( ( sK11(X0,X1) = nil )
| ( app(sK49(sK11(X0,X1)),nil) = sK49(sK11(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_173044]) ).
tcf(c_175476,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_175477,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sK57,sK11(X0,X1)),nil) = cons(sK57,sK11(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_173094]) ).
tcf(c_175478,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_175479,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_175543,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_175544,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_175545,plain,
! [X0: $i,X1: $i] :
( ( app(nil,cons(sK57,sK12(X0,X1))) = cons(sK57,sK12(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_173594]) ).
tcf(c_175546,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_174232]) ).
tcf(c_175547,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_174111]) ).
tcf(c_175548,plain,
! [X0: $i,X1: $i] :
( ( sK12(X0,X1) = nil )
| ( app(sK49(sK12(X0,X1)),nil) = sK49(sK12(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_173044]) ).
tcf(c_175549,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_175550,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sK57,sK12(X0,X1)),nil) = cons(sK57,sK12(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_173094]) ).
tcf(c_175551,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_175552,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_175618,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_175619,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_175620,plain,
! [X0: $i,X1: $i] :
( ( app(nil,cons(sK57,sK13(X0,X1))) = cons(sK57,sK13(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_173594]) ).
tcf(c_175621,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_174232]) ).
tcf(c_175622,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_174111]) ).
tcf(c_175623,plain,
! [X0: $i,X1: $i] :
( ( sK13(X0,X1) = nil )
| ( app(sK49(sK13(X0,X1)),nil) = sK49(sK13(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_173044]) ).
tcf(c_175624,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_175625,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sK57,sK13(X0,X1)),nil) = cons(sK57,sK13(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_173094]) ).
tcf(c_175626,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_175627,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_175715,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_175716,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_175717,plain,
! [X0: $i,X1: $i] :
( ( app(nil,cons(sK57,sK14(X0,X1))) = cons(sK57,sK14(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_173594]) ).
tcf(c_175718,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_174232]) ).
tcf(c_175719,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_174111]) ).
tcf(c_175720,plain,
! [X0: $i,X1: $i] :
( ( sK14(X0,X1) = nil )
| ( app(sK49(sK14(X0,X1)),nil) = sK49(sK14(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_173044]) ).
tcf(c_175721,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_175722,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sK57,sK14(X0,X1)),nil) = cons(sK57,sK14(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_173094]) ).
tcf(c_175723,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_175724,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_175772,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_13),sK10(iPr_def_13))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_13))
| ~ ssList(app(X0,cons(sK10(iPr_def_13),nil))) ),
inference(superposition,[status(thm)],[c_174042,c_54]) ).
tcf(c_175774,plain,
( equalelemsP(iPr_def_13)
| ~ ssItem(sK10(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_174042,c_217]) ).
tcf(c_175776,plain,
( strictorderedP(iPr_def_13)
| ~ ssItem(sK10(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_174042,c_209]) ).
tcf(c_175777,plain,
( totalorderedP(iPr_def_13)
| ~ ssItem(sK10(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_174042,c_203]) ).
tcf(c_175778,plain,
( ~ ssList(nil)
| ~ ssItem(sK10(iPr_def_13))
| ( nil != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_174042,c_148]) ).
tcf(c_175780,plain,
( memberP(iPr_def_13,sK10(iPr_def_13))
| ~ ssList(nil)
| ~ ssItem(sK10(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_174042,c_168]) ).
tcf(c_175788,plain,
( memberP(iPr_def_13,sK10(iPr_def_13))
| ~ ssItem(sK10(iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175780,c_141]) ).
tcf(c_175791,plain,
( ~ ssItem(sK10(iPr_def_13))
| ( nil != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175778,c_141]) ).
tcf(c_175794,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_13),sK10(iPr_def_13))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_13))
| ~ ssList(app(X0,iPr_def_13)) ),
inference(light_normalisation,[status(thm)],[c_175772,c_174042]) ).
tcf(c_175795,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_13),sK10(iPr_def_13))
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_13))
| ~ ssList(app(X0,iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175794,c_141]) ).
tcf(c_175804,plain,
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( tl(tl(sK60)) = sK52(tl(sK60)) ) ),
inference(superposition,[status(thm)],[c_175448,c_222]) ).
tcf(c_175805,plain,
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( hd(tl(sK60)) = sK51(tl(sK60)) ) ),
inference(superposition,[status(thm)],[c_175448,c_220]) ).
tcf(c_175806,plain,
( ( nil = sK60 )
| ( app(nil,cons(sK57,tl(sK60))) = cons(sK57,tl(sK60)) ) ),
inference(superposition,[status(thm)],[c_175448,c_173594]) ).
tcf(c_175807,plain,
( ( nil = sK60 )
| ( tl(cons(sK57,tl(sK60))) = tl(sK60) ) ),
inference(superposition,[status(thm)],[c_175448,c_174232]) ).
tcf(c_175808,plain,
( ( nil = sK60 )
| ( hd(cons(sK57,tl(sK60))) = sK57 ) ),
inference(superposition,[status(thm)],[c_175448,c_174111]) ).
tcf(c_175809,plain,
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( app(sK49(tl(sK60)),nil) = sK49(tl(sK60)) ) ),
inference(superposition,[status(thm)],[c_175448,c_173044]) ).
tcf(c_175810,plain,
( duplicatefreeP(tl(sK60))
| ( nil = sK60 )
| ( sK40(tl(sK60)) = sK41(tl(sK60)) ) ),
inference(superposition,[status(thm)],[c_175448,c_123]) ).
tcf(c_175811,plain,
( ( nil = sK60 )
| ( app(cons(sK57,tl(sK60)),nil) = cons(sK57,tl(sK60)) ) ),
inference(superposition,[status(thm)],[c_175448,c_173094]) ).
tcf(c_175812,plain,
( ( nil = sK60 )
| ( app(tl(sK60),nil) = tl(sK60) ) ),
inference(superposition,[status(thm)],[c_175448,c_232]) ).
tcf(c_175813,plain,
( ( nil = sK60 )
| ( app(nil,tl(sK60)) = tl(sK60) ) ),
inference(superposition,[status(thm)],[c_175448,c_155]) ).
tcf(c_175842,plain,
( ssList(tl(sK59))
| ( nil = sK59 )
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_175106,c_221]) ).
tcf(c_175843,plain,
( ssList(tl(sK59))
| ( nil = sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175842,c_12926]) ).
tcf(c_175850,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( tl(tl(sK59)) = sK52(tl(sK59)) ) ),
inference(superposition,[status(thm)],[c_175843,c_222]) ).
tcf(c_175851,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( hd(tl(sK59)) = sK51(tl(sK59)) ) ),
inference(superposition,[status(thm)],[c_175843,c_220]) ).
tcf(c_175852,plain,
( ( nil = sK59 )
| ( app(nil,cons(sK57,tl(sK59))) = cons(sK57,tl(sK59)) ) ),
inference(superposition,[status(thm)],[c_175843,c_173594]) ).
tcf(c_175853,plain,
( ( nil = sK59 )
| ( tl(cons(sK57,tl(sK59))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_175843,c_174232]) ).
tcf(c_175854,plain,
( ( nil = sK59 )
| ( hd(cons(sK57,tl(sK59))) = sK57 ) ),
inference(superposition,[status(thm)],[c_175843,c_174111]) ).
tcf(c_175855,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( app(sK49(tl(sK59)),nil) = sK49(tl(sK59)) ) ),
inference(superposition,[status(thm)],[c_175843,c_173044]) ).
tcf(c_175856,plain,
( duplicatefreeP(tl(sK59))
| ( nil = sK59 )
| ( sK40(tl(sK59)) = sK41(tl(sK59)) ) ),
inference(superposition,[status(thm)],[c_175843,c_123]) ).
tcf(c_175857,plain,
( ( nil = sK59 )
| ( app(cons(sK57,tl(sK59)),nil) = cons(sK57,tl(sK59)) ) ),
inference(superposition,[status(thm)],[c_175843,c_173094]) ).
tcf(c_175858,plain,
( ( nil = sK59 )
| ( app(tl(sK59),nil) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_175843,c_232]) ).
tcf(c_175859,plain,
( ( nil = sK59 )
| ( app(nil,tl(sK59)) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_175843,c_155]) ).
tcf(c_175888,plain,
( ssList(tl(sK56))
| ( nil = sK56 )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_175107,c_221]) ).
tcf(c_175889,plain,
( ssList(tl(sK56))
| ( nil = sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175888,c_12924]) ).
tcf(c_175896,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( tl(tl(sK56)) = sK52(tl(sK56)) ) ),
inference(superposition,[status(thm)],[c_175889,c_222]) ).
tcf(c_175897,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( hd(tl(sK56)) = sK51(tl(sK56)) ) ),
inference(superposition,[status(thm)],[c_175889,c_220]) ).
tcf(c_175898,plain,
( ( nil = sK56 )
| ( app(nil,cons(sK57,tl(sK56))) = cons(sK57,tl(sK56)) ) ),
inference(superposition,[status(thm)],[c_175889,c_173594]) ).
tcf(c_175899,plain,
( ( nil = sK56 )
| ( tl(cons(sK57,tl(sK56))) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_175889,c_174232]) ).
tcf(c_175900,plain,
( ( nil = sK56 )
| ( hd(cons(sK57,tl(sK56))) = sK57 ) ),
inference(superposition,[status(thm)],[c_175889,c_174111]) ).
tcf(c_175901,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( app(sK49(tl(sK56)),nil) = sK49(tl(sK56)) ) ),
inference(superposition,[status(thm)],[c_175889,c_173044]) ).
tcf(c_175902,plain,
( duplicatefreeP(tl(sK56))
| ( nil = sK56 )
| ( sK40(tl(sK56)) = sK41(tl(sK56)) ) ),
inference(superposition,[status(thm)],[c_175889,c_123]) ).
tcf(c_175903,plain,
( ( nil = sK56 )
| ( app(cons(sK57,tl(sK56)),nil) = cons(sK57,tl(sK56)) ) ),
inference(superposition,[status(thm)],[c_175889,c_173094]) ).
tcf(c_175904,plain,
( ( nil = sK56 )
| ( app(tl(sK56),nil) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_175889,c_232]) ).
tcf(c_175905,plain,
( ( nil = sK56 )
| ( app(nil,tl(sK56)) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_175889,c_155]) ).
tcf(c_175965,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_174048,c_54]) ).
tcf(c_175973,plain,
( memberP(iPr_def_10,sK10(iPr_def_10))
| ~ ssList(nil)
| ~ ssItem(sK10(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_174048,c_168]) ).
tcf(c_175975,plain,
( memberP(iPr_def_10,sK10(iPr_def_10))
| ~ ssItem(sK10(iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175973,c_141]) ).
tcf(c_175978,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_175965,c_174048]) ).
tcf(c_175979,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_175978,c_141]) ).
tcf(c_175986,plain,
app(sK49(iPr_def_12),nil) = sK49(iPr_def_12),
inference(global_subsumption_just,[status(thm)],[c_173801,c_17046,c_20881]) ).
tcf(c_175988,plain,
( frontsegP(sK49(iPr_def_12),sK49(iPr_def_12))
| ~ ssList(nil)
| ~ ssList(sK49(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_175986,c_378]) ).
tcf(c_175989,plain,
( rearsegP(sK49(iPr_def_12),nil)
| ~ ssList(nil)
| ~ ssList(sK49(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_175986,c_375]) ).
tcf(c_175991,plain,
( rearsegP(sK49(iPr_def_12),nil)
| ~ ssList(sK49(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175989,c_141]) ).
tcf(c_175994,plain,
( frontsegP(sK49(iPr_def_12),sK49(iPr_def_12))
| ~ ssList(sK49(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175988,c_141]) ).
tcf(c_176019,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_176020,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_176021,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_176022,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_176023,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_176024,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_176025,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_176035,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_176036,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_176037,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_176038,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_176039,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_176040,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_176041,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_176042,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_176043,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_176044,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_176045,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_176046,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_176048,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_176049,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_176050,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_176051,plain,
( ( nil = sK60 )
| ( cons(sK50(sK60),sK49(sK60)) = sK60 ) ),
inference(superposition,[status(thm)],[c_12927,c_147]) ).
tcf(c_176052,plain,
( ( nil = sK59 )
| ( cons(sK50(sK59),sK49(sK59)) = sK59 ) ),
inference(superposition,[status(thm)],[c_12926,c_147]) ).
tcf(c_176053,plain,
( ( nil = sK56 )
| ( cons(sK50(sK56),sK49(sK56)) = sK56 ) ),
inference(superposition,[status(thm)],[c_12924,c_147]) ).
tcf(c_176054,plain,
( ( nil = iPr_def_13 )
| ( cons(sK50(iPr_def_13),sK49(iPr_def_13)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_172540,c_147]) ).
tcf(c_176055,plain,
( ( nil = iPr_def_11 )
| ( cons(sK50(iPr_def_11),sK49(iPr_def_11)) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_173202,c_147]) ).
tcf(c_176056,plain,
( ( nil = iPr_def_12 )
| ( cons(sK50(iPr_def_12),sK49(iPr_def_12)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_173203,c_147]) ).
tcf(c_176057,plain,
( ( nil = iPr_def_10 )
| ( cons(sK50(iPr_def_10),sK49(iPr_def_10)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_173031,c_147]) ).
tcf(c_176058,plain,
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( cons(sK50(tl(sK60)),sK49(tl(sK60))) = tl(sK60) ) ),
inference(superposition,[status(thm)],[c_175448,c_147]) ).
tcf(c_176059,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( cons(sK50(tl(sK59)),sK49(tl(sK59))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_175843,c_147]) ).
tcf(c_176060,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( cons(sK50(tl(sK56)),sK49(tl(sK56))) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_175889,c_147]) ).
tcf(c_176061,plain,
cons(sK50(iPr_def_10),sK49(iPr_def_10)) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_176057,c_174077]) ).
tcf(c_176210,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_176211,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_176212,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_176213,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_176214,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_176215,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_176216,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_176226,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_176227,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_176228,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_176229,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_176230,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_176231,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_176232,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_176233,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_176234,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_176235,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_176236,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_176237,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_176239,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_176240,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_176241,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_176242,plain,
( ( nil = sK60 )
| ( cons(hd(sK60),tl(sK60)) = sK60 ) ),
inference(superposition,[status(thm)],[c_12927,c_224]) ).
tcf(c_176243,plain,
( ( nil = sK59 )
| ( cons(hd(sK59),tl(sK59)) = sK59 ) ),
inference(superposition,[status(thm)],[c_12926,c_224]) ).
tcf(c_176244,plain,
( ( nil = sK56 )
| ( cons(hd(sK56),tl(sK56)) = sK56 ) ),
inference(superposition,[status(thm)],[c_12924,c_224]) ).
tcf(c_176245,plain,
( ( nil = iPr_def_13 )
| ( cons(hd(iPr_def_13),tl(iPr_def_13)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_172540,c_224]) ).
tcf(c_176246,plain,
( ( nil = iPr_def_11 )
| ( cons(hd(iPr_def_11),tl(iPr_def_11)) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_173202,c_224]) ).
tcf(c_176247,plain,
( ( nil = iPr_def_12 )
| ( cons(hd(iPr_def_12),tl(iPr_def_12)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_173203,c_224]) ).
tcf(c_176248,plain,
( ( nil = iPr_def_10 )
| ( cons(hd(iPr_def_10),tl(iPr_def_10)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_173031,c_224]) ).
tcf(c_176249,plain,
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( cons(hd(tl(sK60)),tl(tl(sK60))) = tl(sK60) ) ),
inference(superposition,[status(thm)],[c_175448,c_224]) ).
tcf(c_176250,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( cons(hd(tl(sK59)),tl(tl(sK59))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_175843,c_224]) ).
tcf(c_176251,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( cons(hd(tl(sK56)),tl(tl(sK56))) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_175889,c_224]) ).
tcf(c_176567,plain,
equalelemsP(iPr_def_13),
inference(global_subsumption_just,[status(thm)],[c_175774,c_20305]) ).
tcf(c_176569,plain,
strictorderedP(iPr_def_13),
inference(global_subsumption_just,[status(thm)],[c_175776,c_20896]) ).
tcf(c_176575,plain,
totalorderedP(iPr_def_13),
inference(global_subsumption_just,[status(thm)],[c_175777,c_21289]) ).
tcf(c_176614,plain,
! [X0: $i] :
( memberP(app(X0,sK60),sK50(sK60))
| ( nil = sK60 )
| ~ ssList(X0)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ~ ssList(app(X0,cons(sK50(sK60),sK49(sK60)))) ),
inference(superposition,[status(thm)],[c_176051,c_54]) ).
tcf(c_176616,plain,
( ( nil = sK60 )
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ( sK49(sK60) != sK60 ) ),
inference(superposition,[status(thm)],[c_176051,c_142]) ).
tcf(c_176617,plain,
( memberP(sK60,sK50(sK60))
| ( nil = sK60 )
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60)) ),
inference(superposition,[status(thm)],[c_176051,c_168]) ).
tcf(c_176665,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_176052,c_54]) ).
tcf(c_176667,plain,
( ( nil = sK59 )
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ( sK49(sK59) != sK59 ) ),
inference(superposition,[status(thm)],[c_176052,c_142]) ).
tcf(c_176668,plain,
( memberP(sK59,sK50(sK59))
| ( nil = sK59 )
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59)) ),
inference(superposition,[status(thm)],[c_176052,c_168]) ).
tcf(c_176688,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_176053,c_54]) ).
tcf(c_176690,plain,
( ( nil = sK56 )
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ( sK49(sK56) != sK56 ) ),
inference(superposition,[status(thm)],[c_176053,c_142]) ).
tcf(c_176691,plain,
( memberP(sK56,sK50(sK56))
| ( nil = sK56 )
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56)) ),
inference(superposition,[status(thm)],[c_176053,c_168]) ).
tcf(c_176711,plain,
! [X0: $i] :
( memberP(app(X0,sK60),hd(sK60))
| ( nil = sK60 )
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ~ ssList(app(X0,cons(hd(sK60),tl(sK60)))) ),
inference(superposition,[status(thm)],[c_176242,c_54]) ).
tcf(c_176713,plain,
( ( nil = sK60 )
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ( tl(sK60) != sK60 ) ),
inference(superposition,[status(thm)],[c_176242,c_142]) ).
tcf(c_176714,plain,
( memberP(sK60,hd(sK60))
| ( nil = sK60 )
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60)) ),
inference(superposition,[status(thm)],[c_176242,c_168]) ).
tcf(c_176734,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_176243,c_54]) ).
tcf(c_176736,plain,
( ( nil = sK59 )
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ( tl(sK59) != sK59 ) ),
inference(superposition,[status(thm)],[c_176243,c_142]) ).
tcf(c_176737,plain,
( memberP(sK59,hd(sK59))
| ( nil = sK59 )
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59)) ),
inference(superposition,[status(thm)],[c_176243,c_168]) ).
tcf(c_176757,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_176244,c_54]) ).
tcf(c_176759,plain,
( ( nil = sK56 )
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ( tl(sK56) != sK56 ) ),
inference(superposition,[status(thm)],[c_176244,c_142]) ).
tcf(c_176760,plain,
( memberP(sK56,hd(sK56))
| ( nil = sK56 )
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56)) ),
inference(superposition,[status(thm)],[c_176244,c_168]) ).
tcf(c_176778,plain,
app(sK49(iPr_def_10),nil) = sK49(iPr_def_10),
inference(global_subsumption_just,[status(thm)],[c_173802,c_17047,c_17342]) ).
tcf(c_176780,plain,
( frontsegP(sK49(iPr_def_10),sK49(iPr_def_10))
| ~ ssList(nil)
| ~ ssList(sK49(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_176778,c_378]) ).
tcf(c_176781,plain,
( rearsegP(sK49(iPr_def_10),nil)
| ~ ssList(nil)
| ~ ssList(sK49(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_176778,c_375]) ).
tcf(c_176783,plain,
( rearsegP(sK49(iPr_def_10),nil)
| ~ ssList(sK49(iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_176781,c_141]) ).
tcf(c_176786,plain,
( frontsegP(sK49(iPr_def_10),sK49(iPr_def_10))
| ~ ssList(sK49(iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_176780,c_141]) ).
tcf(c_176797,plain,
! [X0: $i] :
( ( app(cons(sK6,nil),X0) = cons(sK6,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_51,c_227]) ).
tcf(c_176798,plain,
! [X0: $i] :
( ( app(cons(sK7,nil),X0) = cons(sK7,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_52,c_227]) ).
tcf(c_176799,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_176806,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_176807,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_176808,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_176809,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_176810,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_176811,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_176812,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_176813,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_176814,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_176815,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_176816,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_176817,plain,
! [X0: $i] :
( ( app(cons(sK57,nil),X0) = cons(sK57,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12925,c_227]) ).
tcf(c_176818,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( app(cons(hd(sK60),nil),X0) = cons(hd(sK60),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175353,c_227]) ).
tcf(c_176819,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( app(cons(hd(sK59),nil),X0) = cons(hd(sK59),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175385,c_227]) ).
tcf(c_176820,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( app(cons(hd(sK56),nil),X0) = cons(hd(sK56),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175417,c_227]) ).
tcf(c_176821,plain,
! [X0: $i] :
( ( cons(sK57,X0) = app(iPr_def_10,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_176817,c_12917]) ).
tcf(c_177132,plain,
( totalorderedP(sK49(sK60))
| ( nil = sK60 )
| ( sK49(sK60) = nil )
| ~ totalorderedP(sK60)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60)) ),
inference(superposition,[status(thm)],[c_176051,c_207]) ).
tcf(c_177133,plain,
( totalorderedP(sK49(sK59))
| ( nil = sK59 )
| ( sK49(sK59) = nil )
| ~ totalorderedP(sK59)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59)) ),
inference(superposition,[status(thm)],[c_176052,c_207]) ).
tcf(c_177134,plain,
( totalorderedP(sK49(sK56))
| ( nil = sK56 )
| ( sK49(sK56) = nil )
| ~ totalorderedP(sK56)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56)) ),
inference(superposition,[status(thm)],[c_176053,c_207]) ).
tcf(c_177135,plain,
( totalorderedP(tl(sK60))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ totalorderedP(sK60)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60)) ),
inference(superposition,[status(thm)],[c_176242,c_207]) ).
tcf(c_177136,plain,
( totalorderedP(tl(sK59))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ totalorderedP(sK59)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59)) ),
inference(superposition,[status(thm)],[c_176243,c_207]) ).
tcf(c_177137,plain,
( totalorderedP(tl(sK56))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ totalorderedP(sK56)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56)) ),
inference(superposition,[status(thm)],[c_176244,c_207]) ).
tcf(c_177235,plain,
( strictorderedP(sK49(sK60))
| ( nil = sK60 )
| ( sK49(sK60) = nil )
| ~ strictorderedP(sK60)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60)) ),
inference(superposition,[status(thm)],[c_176051,c_213]) ).
tcf(c_177236,plain,
( strictorderedP(sK49(sK59))
| ( nil = sK59 )
| ( sK49(sK59) = nil )
| ~ strictorderedP(sK59)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59)) ),
inference(superposition,[status(thm)],[c_176052,c_213]) ).
tcf(c_177237,plain,
( strictorderedP(sK49(sK56))
| ( nil = sK56 )
| ( sK49(sK56) = nil )
| ~ strictorderedP(sK56)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56)) ),
inference(superposition,[status(thm)],[c_176053,c_213]) ).
tcf(c_177238,plain,
( strictorderedP(tl(sK60))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ strictorderedP(sK60)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60)) ),
inference(superposition,[status(thm)],[c_176242,c_213]) ).
tcf(c_177239,plain,
( strictorderedP(tl(sK59))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ strictorderedP(sK59)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59)) ),
inference(superposition,[status(thm)],[c_176243,c_213]) ).
tcf(c_177240,plain,
( strictorderedP(tl(sK56))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ strictorderedP(sK56)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56)) ),
inference(superposition,[status(thm)],[c_176244,c_213]) ).
tcf(c_177286,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ( nil != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_12918,c_230]) ).
tcf(c_177287,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ( nil != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_12919,c_230]) ).
tcf(c_177288,plain,
( ( nil = sK60 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK60)
| ( nil != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_12920,c_230]) ).
tcf(c_177320,plain,
( ( nil = sK60 )
| ( nil != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177288,c_173203,c_12927]) ).
tcf(c_177323,plain,
nil != iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_177287,c_174077,c_173202,c_173031]) ).
tcf(c_177324,plain,
nil != iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_177286,c_174077,c_173031,c_12926]) ).
tcf(c_177327,plain,
nil != iPr_def_13,
inference(global_subsumption_just,[status(thm)],[c_177320,c_21048]) ).
tcf(c_177330,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_176061,c_54]) ).
tcf(c_177331,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_176061,c_213]) ).
tcf(c_177332,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_176061,c_207]) ).
tcf(c_177334,plain,
( ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ( sK49(iPr_def_10) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_176061,c_142]) ).
tcf(c_177335,plain,
( memberP(iPr_def_10,sK50(iPr_def_10))
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_176061,c_168]) ).
tcf(c_177343,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_177332,c_172649]) ).
tcf(c_177348,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_177331,c_172655]) ).
tcf(c_177353,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_177330,c_176061]) ).
tcf(c_177379,plain,
( memberP(cons(sK57,iPr_def_13),sK57)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(app(nil,cons(sK57,iPr_def_13))) ),
inference(superposition,[status(thm)],[c_174721,c_54]) ).
tcf(c_177381,plain,
( frontsegP(cons(sK57,iPr_def_13),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_174721,c_378]) ).
tcf(c_177382,plain,
( rearsegP(cons(sK57,iPr_def_13),cons(sK57,iPr_def_13))
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_174721,c_375]) ).
tcf(c_177384,plain,
( frontsegP(cons(sK57,iPr_def_13),nil)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177381,c_141]) ).
tcf(c_177387,plain,
( rearsegP(cons(sK57,iPr_def_13),cons(sK57,iPr_def_13))
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177382,c_141]) ).
tcf(c_177390,plain,
( memberP(cons(sK57,iPr_def_13),sK57)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(light_normalisation,[status(thm)],[c_177379,c_174721]) ).
tcf(c_177391,plain,
( memberP(cons(sK57,iPr_def_13),sK57)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177390,c_172540,c_141,c_12925]) ).
tcf(c_177469,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_378,c_63]) ).
tcf(c_177470,plain,
! [X0: $i] :
( ( app(X0,sK11(X0,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175,c_63]) ).
tcf(c_177471,plain,
! [X0: $i] :
( ( app(nil,sK11(X0,nil)) = X0 )
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_180,c_63]) ).
tcf(c_177472,plain,
( ( app(nil,sK11(nil,nil)) = nil )
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_367,c_63]) ).
tcf(c_177473,plain,
( ( app(sK59,sK11(iPr_def_11,sK59)) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_173981,c_63]) ).
tcf(c_177474,plain,
( ( app(iPr_def_11,sK11(iPr_def_12,iPr_def_11)) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_173980,c_63]) ).
tcf(c_177475,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_173979,c_63]) ).
tcf(c_177476,plain,
( ( app(nil,sK11(iPr_def_10,nil)) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173978,c_63]) ).
tcf(c_177477,plain,
( ( app(nil,sK11(sK60,nil)) = sK60 )
| ~ ssList(sK60)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173977,c_63]) ).
tcf(c_177478,plain,
( ( app(nil,sK11(sK59,nil)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173976,c_63]) ).
tcf(c_177479,plain,
( ( app(nil,sK11(sK56,nil)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173975,c_63]) ).
tcf(c_177480,plain,
( ( app(nil,sK11(iPr_def_13,nil)) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173974,c_63]) ).
tcf(c_177481,plain,
( ( app(sK60,sK11(sK60,sK60)) = sK60 )
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_173973,c_63]) ).
tcf(c_177482,plain,
( ( app(sK59,sK11(sK59,sK59)) = sK59 )
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_173972,c_63]) ).
tcf(c_177483,plain,
( ( app(sK56,sK11(sK56,sK56)) = sK56 )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_173971,c_63]) ).
tcf(c_177484,plain,
( ( app(iPr_def_13,sK11(iPr_def_13,iPr_def_13)) = iPr_def_13 )
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_173970,c_63]) ).
tcf(c_177485,plain,
( ( app(iPr_def_10,sK11(iPr_def_10,iPr_def_10)) = iPr_def_10 )
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_173969,c_63]) ).
tcf(c_177486,plain,
( ( app(iPr_def_11,sK11(iPr_def_11,iPr_def_11)) = iPr_def_11 )
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_173968,c_63]) ).
tcf(c_177487,plain,
( ( app(nil,sK11(iPr_def_11,nil)) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173967,c_63]) ).
tcf(c_177488,plain,
( ( app(iPr_def_12,sK11(iPr_def_12,iPr_def_12)) = iPr_def_12 )
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_173966,c_63]) ).
tcf(c_177489,plain,
( ( app(nil,sK11(iPr_def_12,nil)) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173965,c_63]) ).
tcf(c_177490,plain,
app(iPr_def_12,sK11(iPr_def_12,iPr_def_12)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_177488,c_173203]) ).
tcf(c_177491,plain,
app(iPr_def_11,sK11(iPr_def_11,iPr_def_11)) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_177486,c_173202]) ).
tcf(c_177492,plain,
app(iPr_def_10,sK11(iPr_def_10,iPr_def_10)) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_177485,c_173031]) ).
tcf(c_177493,plain,
app(iPr_def_13,sK11(iPr_def_13,iPr_def_13)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_177484,c_172540]) ).
tcf(c_177494,plain,
app(sK56,sK11(sK56,sK56)) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_177483,c_12924]) ).
tcf(c_177495,plain,
app(sK59,sK11(sK59,sK59)) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_177482,c_12926]) ).
tcf(c_177496,plain,
app(sK60,sK11(sK60,sK60)) = sK60,
inference(forward_subsumption_resolution,[status(thm)],[c_177481,c_12927]) ).
tcf(c_177497,plain,
app(nil,sK11(nil,nil)) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_177472,c_141]) ).
tcf(c_177500,plain,
app(nil,sK11(iPr_def_12,nil)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_177489,c_173203,c_141]) ).
tcf(c_177501,plain,
app(nil,sK11(iPr_def_11,nil)) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_177487,c_173202,c_141]) ).
tcf(c_177502,plain,
app(nil,sK11(iPr_def_13,nil)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_177480,c_172540,c_141]) ).
tcf(c_177503,plain,
app(nil,sK11(sK56,nil)) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_177479,c_12924,c_141]) ).
tcf(c_177504,plain,
app(nil,sK11(sK59,nil)) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_177478,c_12926,c_141]) ).
tcf(c_177505,plain,
app(nil,sK11(sK60,nil)) = sK60,
inference(forward_subsumption_resolution,[status(thm)],[c_177477,c_12927,c_141]) ).
tcf(c_177506,plain,
app(nil,sK11(iPr_def_10,nil)) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_177476,c_173031,c_141]) ).
tcf(c_177507,plain,
app(iPr_def_12,sK11(iPr_def_13,iPr_def_12)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_177475,c_172540,c_173203]) ).
tcf(c_177508,plain,
app(iPr_def_11,sK11(iPr_def_12,iPr_def_11)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_177474,c_173203,c_173202]) ).
tcf(c_177509,plain,
app(sK59,sK11(iPr_def_11,sK59)) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_177473,c_173202,c_12926]) ).
tcf(c_177510,plain,
! [X0: $i] :
( ( app(nil,sK11(X0,nil)) = X0 )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177471,c_141]) ).
tcf(c_177525,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_375,c_66]) ).
tcf(c_177526,plain,
! [X0: $i] :
( ( app(sK12(X0,X0),X0) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_185,c_66]) ).
tcf(c_177527,plain,
! [X0: $i] :
( ( app(sK12(X0,nil),nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_187,c_66]) ).
tcf(c_177528,plain,
( ( app(sK12(nil,nil),nil) = nil )
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_365,c_66]) ).
tcf(c_177529,plain,
( ( app(sK12(iPr_def_11,iPr_def_10),iPr_def_10) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_173741,c_66]) ).
tcf(c_177530,plain,
( ( app(sK12(iPr_def_12,iPr_def_10),iPr_def_10) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_173740,c_66]) ).
tcf(c_177531,plain,
( ( app(sK12(iPr_def_13,sK60),sK60) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_173739,c_66]) ).
tcf(c_177532,plain,
( ( app(sK12(iPr_def_10,iPr_def_10),iPr_def_10) = iPr_def_10 )
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_173738,c_66]) ).
tcf(c_177533,plain,
( ( app(sK12(sK60,sK60),sK60) = sK60 )
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_173737,c_66]) ).
tcf(c_177534,plain,
( ( app(sK12(sK59,sK59),sK59) = sK59 )
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_173736,c_66]) ).
tcf(c_177535,plain,
( ( app(sK12(sK56,sK56),sK56) = sK56 )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_173735,c_66]) ).
tcf(c_177536,plain,
( ( app(sK12(iPr_def_13,iPr_def_13),iPr_def_13) = iPr_def_13 )
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_173734,c_66]) ).
tcf(c_177537,plain,
( ( app(sK12(sK60,nil),nil) = sK60 )
| ~ ssList(sK60)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173733,c_66]) ).
tcf(c_177538,plain,
( ( app(sK12(sK59,nil),nil) = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173732,c_66]) ).
tcf(c_177539,plain,
( ( app(sK12(sK56,nil),nil) = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173731,c_66]) ).
tcf(c_177540,plain,
( ( app(sK12(iPr_def_13,nil),nil) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173730,c_66]) ).
tcf(c_177541,plain,
( ( app(sK12(iPr_def_10,nil),nil) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173729,c_66]) ).
tcf(c_177542,plain,
( ( app(sK12(iPr_def_11,nil),nil) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173728,c_66]) ).
tcf(c_177543,plain,
( ( app(sK12(iPr_def_11,iPr_def_11),iPr_def_11) = iPr_def_11 )
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_173727,c_66]) ).
tcf(c_177544,plain,
( ( app(sK12(iPr_def_12,nil),nil) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173726,c_66]) ).
tcf(c_177545,plain,
( ( app(sK12(iPr_def_12,iPr_def_12),iPr_def_12) = iPr_def_12 )
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_173725,c_66]) ).
tcf(c_177546,plain,
app(sK12(iPr_def_12,iPr_def_12),iPr_def_12) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_177545,c_173203]) ).
tcf(c_177547,plain,
app(sK12(iPr_def_11,iPr_def_11),iPr_def_11) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_177543,c_173202]) ).
tcf(c_177548,plain,
app(sK12(iPr_def_13,iPr_def_13),iPr_def_13) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_177536,c_172540]) ).
tcf(c_177549,plain,
app(sK12(sK56,sK56),sK56) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_177535,c_12924]) ).
tcf(c_177550,plain,
app(sK12(sK59,sK59),sK59) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_177534,c_12926]) ).
tcf(c_177551,plain,
app(sK12(sK60,sK60),sK60) = sK60,
inference(forward_subsumption_resolution,[status(thm)],[c_177533,c_12927]) ).
tcf(c_177552,plain,
app(sK12(iPr_def_10,iPr_def_10),iPr_def_10) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_177532,c_173031]) ).
tcf(c_177553,plain,
app(sK12(nil,nil),nil) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_177528,c_141]) ).
tcf(c_177556,plain,
app(sK12(iPr_def_12,nil),nil) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_177544,c_173203,c_141]) ).
tcf(c_177557,plain,
app(sK12(iPr_def_11,nil),nil) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_177542,c_173202,c_141]) ).
tcf(c_177558,plain,
app(sK12(iPr_def_10,nil),nil) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_177541,c_173031,c_141]) ).
tcf(c_177559,plain,
app(sK12(iPr_def_13,nil),nil) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_177540,c_172540,c_141]) ).
tcf(c_177560,plain,
app(sK12(sK56,nil),nil) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_177539,c_12924,c_141]) ).
tcf(c_177561,plain,
app(sK12(sK59,nil),nil) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_177538,c_12926,c_141]) ).
tcf(c_177562,plain,
app(sK12(sK60,nil),nil) = sK60,
inference(forward_subsumption_resolution,[status(thm)],[c_177537,c_12927,c_141]) ).
tcf(c_177563,plain,
app(sK12(iPr_def_13,sK60),sK60) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_177531,c_172540,c_12927]) ).
tcf(c_177564,plain,
app(sK12(iPr_def_12,iPr_def_10),iPr_def_10) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_177530,c_173203,c_173031]) ).
tcf(c_177565,plain,
app(sK12(iPr_def_11,iPr_def_10),iPr_def_10) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_177529,c_173202,c_173031]) ).
tcf(c_177566,plain,
! [X0: $i] :
( ( app(sK12(X0,nil),nil) = X0 )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177527,c_141]) ).
tcf(c_177706,plain,
( ( sK11(sK56,sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(sK11(sK56,sK56))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_177494,c_230]) ).
tcf(c_177708,plain,
( rearsegP(sK56,sK11(sK56,sK56))
| ~ ssList(sK56)
| ~ ssList(sK11(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_177494,c_375]) ).
tcf(c_177710,plain,
( rearsegP(sK56,sK11(sK56,sK56))
| ~ ssList(sK11(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177708,c_12924]) ).
tcf(c_177713,plain,
( ( sK11(sK56,sK56) = nil )
| ~ ssList(sK11(sK56,sK56))
| ( nil != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177706,c_12924]) ).
tcf(c_177718,plain,
( ( sK11(sK59,sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(sK11(sK59,sK59))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_177495,c_230]) ).
tcf(c_177720,plain,
( rearsegP(sK59,sK11(sK59,sK59))
| ~ ssList(sK59)
| ~ ssList(sK11(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_177495,c_375]) ).
tcf(c_177722,plain,
( rearsegP(sK59,sK11(sK59,sK59))
| ~ ssList(sK11(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177720,c_12926]) ).
tcf(c_177725,plain,
( ( sK11(sK59,sK59) = nil )
| ~ ssList(sK11(sK59,sK59))
| ( nil != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177718,c_12926]) ).
tcf(c_177730,plain,
( ( sK11(sK60,sK60) = nil )
| ~ ssList(sK60)
| ~ ssList(sK11(sK60,sK60))
| ( nil != sK60 ) ),
inference(superposition,[status(thm)],[c_177496,c_230]) ).
tcf(c_177732,plain,
( rearsegP(sK60,sK11(sK60,sK60))
| ~ ssList(sK60)
| ~ ssList(sK11(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_177496,c_375]) ).
tcf(c_177734,plain,
( rearsegP(sK60,sK11(sK60,sK60))
| ~ ssList(sK11(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177732,c_12927]) ).
tcf(c_177737,plain,
( ( sK11(sK60,sK60) = nil )
| ~ ssList(sK11(sK60,sK60))
| ( nil != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177730,c_12927]) ).
tcf(c_177742,plain,
( ( sK11(sK56,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK11(sK56,nil))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_177503,c_230]) ).
tcf(c_177744,plain,
( rearsegP(sK56,sK11(sK56,nil))
| ~ ssList(nil)
| ~ ssList(sK11(sK56,nil)) ),
inference(superposition,[status(thm)],[c_177503,c_375]) ).
tcf(c_177746,plain,
( rearsegP(sK56,sK11(sK56,nil))
| ~ ssList(sK11(sK56,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177744,c_141]) ).
tcf(c_177749,plain,
( ( sK11(sK56,nil) = nil )
| ~ ssList(sK11(sK56,nil))
| ( nil != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177742,c_141]) ).
tcf(c_177754,plain,
( ( sK11(sK59,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK11(sK59,nil))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_177504,c_230]) ).
tcf(c_177756,plain,
( rearsegP(sK59,sK11(sK59,nil))
| ~ ssList(nil)
| ~ ssList(sK11(sK59,nil)) ),
inference(superposition,[status(thm)],[c_177504,c_375]) ).
tcf(c_177758,plain,
( rearsegP(sK59,sK11(sK59,nil))
| ~ ssList(sK11(sK59,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177756,c_141]) ).
tcf(c_177761,plain,
( ( sK11(sK59,nil) = nil )
| ~ ssList(sK11(sK59,nil))
| ( nil != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177754,c_141]) ).
tcf(c_177766,plain,
( ( sK11(sK60,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK11(sK60,nil))
| ( nil != sK60 ) ),
inference(superposition,[status(thm)],[c_177505,c_230]) ).
tcf(c_177768,plain,
( rearsegP(sK60,sK11(sK60,nil))
| ~ ssList(nil)
| ~ ssList(sK11(sK60,nil)) ),
inference(superposition,[status(thm)],[c_177505,c_375]) ).
tcf(c_177770,plain,
( rearsegP(sK60,sK11(sK60,nil))
| ~ ssList(sK11(sK60,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177768,c_141]) ).
tcf(c_177773,plain,
( ( sK11(sK60,nil) = nil )
| ~ ssList(sK11(sK60,nil))
| ( nil != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177766,c_141]) ).
tcf(c_177780,plain,
( rearsegP(iPr_def_11,sK11(iPr_def_11,sK59))
| ~ ssList(sK59)
| ~ ssList(sK11(iPr_def_11,sK59)) ),
inference(superposition,[status(thm)],[c_177509,c_375]) ).
tcf(c_177782,plain,
( rearsegP(iPr_def_11,sK11(iPr_def_11,sK59))
| ~ ssList(sK11(iPr_def_11,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177780,c_12926]) ).
tcf(c_177824,plain,
( ( sK12(sK56,sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(sK12(sK56,sK56))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_177549,c_231]) ).
tcf(c_177826,plain,
( frontsegP(sK56,sK12(sK56,sK56))
| ~ ssList(sK56)
| ~ ssList(sK12(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_177549,c_378]) ).
tcf(c_177829,plain,
( frontsegP(sK56,sK12(sK56,sK56))
| ~ ssList(sK12(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177826,c_12924]) ).
tcf(c_177832,plain,
( ( sK12(sK56,sK56) = nil )
| ~ ssList(sK12(sK56,sK56))
| ( nil != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177824,c_12924]) ).
tcf(c_177836,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_174722,c_54]) ).
tcf(c_177839,plain,
( frontsegP(cons(sK57,iPr_def_11),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_174722,c_378]) ).
tcf(c_177840,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_174722,c_375]) ).
tcf(c_177842,plain,
( frontsegP(cons(sK57,iPr_def_11),nil)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177839,c_141]) ).
tcf(c_177845,plain,
( rearsegP(cons(sK57,iPr_def_11),cons(sK57,iPr_def_11))
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177840,c_141]) ).
tcf(c_177848,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_177836,c_174722]) ).
tcf(c_177849,plain,
( memberP(cons(sK57,iPr_def_11),sK57)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177848,c_173202,c_141,c_12925]) ).
tcf(c_177886,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(superposition,[status(thm)],[c_12918,c_165]) ).
tcf(c_177887,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_12919,c_165]) ).
tcf(c_177888,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_12920,c_165]) ).
tcf(c_177922,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK11(iPr_def_11,sK59)) ),
inference(superposition,[status(thm)],[c_177509,c_165]) ).
tcf(c_177929,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(sK12(sK56,sK56))
| ~ memberP(sK12(sK56,sK56),X0) ),
inference(superposition,[status(thm)],[c_177549,c_165]) ).
tcf(c_177930,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177888,c_173203,c_12927]) ).
tcf(c_177934,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177887,c_173202,c_173031]) ).
tcf(c_177938,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177886,c_173031,c_12926]) ).
tcf(c_177943,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK56,sK56))
| ~ memberP(sK12(sK56,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177929,c_12924]) ).
tcf(c_177959,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_12918,c_166]) ).
tcf(c_177960,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_12919,c_166]) ).
tcf(c_177961,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ memberP(sK60,X0) ),
inference(superposition,[status(thm)],[c_12920,c_166]) ).
tcf(c_177983,plain,
! [X0: $i] :
( memberP(sK49(sK60),X0)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK49(sK60))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_173796,c_166]) ).
tcf(c_177984,plain,
! [X0: $i] :
( memberP(sK49(sK59),X0)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK49(sK59))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_173797,c_166]) ).
tcf(c_177985,plain,
! [X0: $i] :
( memberP(sK49(sK56),X0)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK49(sK56))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_173798,c_166]) ).
tcf(c_177986,plain,
! [X0: $i] :
( memberP(sK49(iPr_def_13),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_13))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_174872,c_166]) ).
tcf(c_177987,plain,
! [X0: $i] :
( memberP(sK49(iPr_def_11),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_11))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_175451,c_166]) ).
tcf(c_177988,plain,
! [X0: $i] :
( memberP(sK49(iPr_def_12),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_12))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_175986,c_166]) ).
tcf(c_177989,plain,
! [X0: $i] :
( memberP(sK49(iPr_def_10),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_10))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_176778,c_166]) ).
tcf(c_177995,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_11,sK59))
| ~ memberP(sK11(iPr_def_11,sK59),X0) ),
inference(superposition,[status(thm)],[c_177509,c_166]) ).
tcf(c_177996,plain,
! [X0: $i] :
( memberP(sK60,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK11(sK60,nil))
| ~ memberP(sK11(sK60,nil),X0) ),
inference(superposition,[status(thm)],[c_177505,c_166]) ).
tcf(c_177997,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK11(sK59,nil))
| ~ memberP(sK11(sK59,nil),X0) ),
inference(superposition,[status(thm)],[c_177504,c_166]) ).
tcf(c_177998,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK11(sK56,nil))
| ~ memberP(sK11(sK56,nil),X0) ),
inference(superposition,[status(thm)],[c_177503,c_166]) ).
tcf(c_177999,plain,
! [X0: $i] :
( memberP(sK60,X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ ssList(sK11(sK60,sK60))
| ~ memberP(sK11(sK60,sK60),X0) ),
inference(superposition,[status(thm)],[c_177496,c_166]) ).
tcf(c_178000,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(sK11(sK59,sK59))
| ~ memberP(sK11(sK59,sK59),X0) ),
inference(superposition,[status(thm)],[c_177495,c_166]) ).
tcf(c_178001,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(sK11(sK56,sK56))
| ~ memberP(sK11(sK56,sK56),X0) ),
inference(superposition,[status(thm)],[c_177494,c_166]) ).
tcf(c_178003,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ memberP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177961,c_173203,c_12927]) ).
tcf(c_178007,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177960,c_173202,c_173031]) ).
tcf(c_178011,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177959,c_173031,c_12926]) ).
tcf(c_178015,plain,
! [X0: $i] :
( memberP(sK49(iPr_def_10),X0)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_10))
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177989,c_141]) ).
tcf(c_178020,plain,
! [X0: $i] :
( memberP(sK49(iPr_def_12),X0)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_12))
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177988,c_141]) ).
tcf(c_178025,plain,
! [X0: $i] :
( memberP(sK49(iPr_def_11),X0)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_11))
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177987,c_141]) ).
tcf(c_178030,plain,
! [X0: $i] :
( memberP(sK49(iPr_def_13),X0)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_13))
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177986,c_141]) ).
tcf(c_178035,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK56,sK56))
| ~ memberP(sK11(sK56,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178001,c_12924]) ).
tcf(c_178040,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK59,sK59))
| ~ memberP(sK11(sK59,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178000,c_12926]) ).
tcf(c_178045,plain,
! [X0: $i] :
( memberP(sK60,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK60,sK60))
| ~ memberP(sK11(sK60,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177999,c_12927]) ).
tcf(c_178050,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK56,nil))
| ~ memberP(sK11(sK56,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177998,c_141]) ).
tcf(c_178055,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK59,nil))
| ~ memberP(sK11(sK59,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177997,c_141]) ).
tcf(c_178060,plain,
! [X0: $i] :
( memberP(sK60,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK60,nil))
| ~ memberP(sK11(sK60,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177996,c_141]) ).
tcf(c_178065,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_11,sK59))
| ~ memberP(sK11(iPr_def_11,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177995,c_12926]) ).
tcf(c_178070,plain,
! [X0: $i] :
( memberP(sK49(sK56),X0)
| ( nil = sK56 )
| ~ ssItem(X0)
| ~ ssList(sK49(sK56))
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177985,c_141]) ).
tcf(c_178076,plain,
! [X0: $i] :
( memberP(sK49(sK59),X0)
| ( nil = sK59 )
| ~ ssItem(X0)
| ~ ssList(sK49(sK59))
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177984,c_141]) ).
tcf(c_178082,plain,
! [X0: $i] :
( memberP(sK49(sK60),X0)
| ( nil = sK60 )
| ~ ssItem(X0)
| ~ ssList(sK49(sK60))
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177983,c_141]) ).
tcf(c_178113,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_13))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_174042,c_169]) ).
tcf(c_178114,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_174048,c_169]) ).
tcf(c_178115,plain,
! [X0: $i] :
( memberP(sK60,X0)
| ( nil = sK60 )
| ~ ssItem(X0)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ~ memberP(sK49(sK60),X0) ),
inference(superposition,[status(thm)],[c_176051,c_169]) ).
tcf(c_178116,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_176052,c_169]) ).
tcf(c_178117,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_176053,c_169]) ).
tcf(c_178118,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_176061,c_169]) ).
tcf(c_178119,plain,
! [X0: $i] :
( memberP(sK60,X0)
| ( nil = sK60 )
| ~ ssItem(X0)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ~ memberP(tl(sK60),X0) ),
inference(superposition,[status(thm)],[c_176242,c_169]) ).
tcf(c_178120,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_176243,c_169]) ).
tcf(c_178121,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_176244,c_169]) ).
tcf(c_178122,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_178114,c_141]) ).
tcf(c_178127,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_13))
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178113,c_141]) ).
tcf(c_178173,plain,
memberP(iPr_def_10,sK10(iPr_def_10)),
inference(global_subsumption_just,[status(thm)],[c_175975,c_16246,c_19194,c_20925,c_54902]) ).
tcf(c_178192,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_177490,c_375]) ).
tcf(c_178195,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_177490,c_166]) ).
tcf(c_178196,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_178192,c_173203]) ).
tcf(c_178199,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_178195,c_173203]) ).
tcf(c_178204,plain,
( ( sK12(sK59,sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(sK12(sK59,sK59))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_177550,c_231]) ).
tcf(c_178206,plain,
( frontsegP(sK59,sK12(sK59,sK59))
| ~ ssList(sK59)
| ~ ssList(sK12(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_177550,c_378]) ).
tcf(c_178209,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(sK12(sK59,sK59))
| ~ memberP(sK12(sK59,sK59),X0) ),
inference(superposition,[status(thm)],[c_177550,c_165]) ).
tcf(c_178211,plain,
( frontsegP(sK59,sK12(sK59,sK59))
| ~ ssList(sK12(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178206,c_12926]) ).
tcf(c_178214,plain,
( ( sK12(sK59,sK59) = nil )
| ~ ssList(sK12(sK59,sK59))
| ( nil != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178204,c_12926]) ).
tcf(c_178218,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK59,sK59))
| ~ memberP(sK12(sK59,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178209,c_12926]) ).
tcf(c_178223,plain,
( ( sK12(sK60,sK60) = nil )
| ~ ssList(sK60)
| ~ ssList(sK12(sK60,sK60))
| ( nil != sK60 ) ),
inference(superposition,[status(thm)],[c_177551,c_231]) ).
tcf(c_178225,plain,
( frontsegP(sK60,sK12(sK60,sK60))
| ~ ssList(sK60)
| ~ ssList(sK12(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_177551,c_378]) ).
tcf(c_178228,plain,
! [X0: $i] :
( memberP(sK60,X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ ssList(sK12(sK60,sK60))
| ~ memberP(sK12(sK60,sK60),X0) ),
inference(superposition,[status(thm)],[c_177551,c_165]) ).
tcf(c_178230,plain,
( frontsegP(sK60,sK12(sK60,sK60))
| ~ ssList(sK12(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178225,c_12927]) ).
tcf(c_178233,plain,
( ( sK12(sK60,sK60) = nil )
| ~ ssList(sK12(sK60,sK60))
| ( nil != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178223,c_12927]) ).
tcf(c_178237,plain,
! [X0: $i] :
( memberP(sK60,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK60,sK60))
| ~ memberP(sK12(sK60,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178228,c_12927]) ).
tcf(c_178242,plain,
( ( sK12(sK56,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK12(sK56,nil))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_177560,c_231]) ).
tcf(c_178244,plain,
( frontsegP(sK56,sK12(sK56,nil))
| ~ ssList(nil)
| ~ ssList(sK12(sK56,nil)) ),
inference(superposition,[status(thm)],[c_177560,c_378]) ).
tcf(c_178247,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK12(sK56,nil))
| ~ memberP(sK12(sK56,nil),X0) ),
inference(superposition,[status(thm)],[c_177560,c_165]) ).
tcf(c_178249,plain,
( frontsegP(sK56,sK12(sK56,nil))
| ~ ssList(sK12(sK56,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178244,c_141]) ).
tcf(c_178252,plain,
( ( sK12(sK56,nil) = nil )
| ~ ssList(sK12(sK56,nil))
| ( nil != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178242,c_141]) ).
tcf(c_178256,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK56,nil))
| ~ memberP(sK12(sK56,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178247,c_141]) ).
tcf(c_178261,plain,
( ( sK12(sK59,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK12(sK59,nil))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_177561,c_231]) ).
tcf(c_178263,plain,
( frontsegP(sK59,sK12(sK59,nil))
| ~ ssList(nil)
| ~ ssList(sK12(sK59,nil)) ),
inference(superposition,[status(thm)],[c_177561,c_378]) ).
tcf(c_178266,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK12(sK59,nil))
| ~ memberP(sK12(sK59,nil),X0) ),
inference(superposition,[status(thm)],[c_177561,c_165]) ).
tcf(c_178268,plain,
( frontsegP(sK59,sK12(sK59,nil))
| ~ ssList(sK12(sK59,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178263,c_141]) ).
tcf(c_178271,plain,
( ( sK12(sK59,nil) = nil )
| ~ ssList(sK12(sK59,nil))
| ( nil != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178261,c_141]) ).
tcf(c_178275,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK59,nil))
| ~ memberP(sK12(sK59,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178266,c_141]) ).
tcf(c_178280,plain,
( ( sK12(sK60,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK12(sK60,nil))
| ( nil != sK60 ) ),
inference(superposition,[status(thm)],[c_177562,c_231]) ).
tcf(c_178282,plain,
( frontsegP(sK60,sK12(sK60,nil))
| ~ ssList(nil)
| ~ ssList(sK12(sK60,nil)) ),
inference(superposition,[status(thm)],[c_177562,c_378]) ).
tcf(c_178285,plain,
! [X0: $i] :
( memberP(sK60,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK12(sK60,nil))
| ~ memberP(sK12(sK60,nil),X0) ),
inference(superposition,[status(thm)],[c_177562,c_165]) ).
tcf(c_178287,plain,
( frontsegP(sK60,sK12(sK60,nil))
| ~ ssList(sK12(sK60,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178282,c_141]) ).
tcf(c_178290,plain,
( ( sK12(sK60,nil) = nil )
| ~ ssList(sK12(sK60,nil))
| ( nil != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178280,c_141]) ).
tcf(c_178294,plain,
! [X0: $i] :
( memberP(sK60,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK60,nil))
| ~ memberP(sK12(sK60,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178285,c_141]) ).
tcf(c_178301,plain,
( frontsegP(iPr_def_13,sK12(iPr_def_13,sK60))
| ~ ssList(sK60)
| ~ ssList(sK12(iPr_def_13,sK60)) ),
inference(superposition,[status(thm)],[c_177563,c_378]) ).
tcf(c_178304,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ ssList(sK12(iPr_def_13,sK60))
| ~ memberP(sK12(iPr_def_13,sK60),X0) ),
inference(superposition,[status(thm)],[c_177563,c_165]) ).
tcf(c_178305,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(sK12(iPr_def_13,sK60)) ),
inference(superposition,[status(thm)],[c_177563,c_166]) ).
tcf(c_178306,plain,
( frontsegP(iPr_def_13,sK12(iPr_def_13,sK60))
| ~ ssList(sK12(iPr_def_13,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178301,c_12927]) ).
tcf(c_178310,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(iPr_def_13,sK60))
| ~ memberP(sK12(iPr_def_13,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178304,c_12927]) ).
tcf(c_178329,plain,
memberP(cons(sK57,iPr_def_13),sK57),
inference(global_subsumption_just,[status(thm)],[c_177391,c_20994,c_71011]) ).
tcf(c_178349,plain,
( ( app(sK12(sK56,sK11(sK56,sK56)),sK11(sK56,sK56)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_177710,c_66]) ).
tcf(c_178350,plain,
( ( app(sK12(sK56,sK11(sK56,sK56)),sK11(sK56,sK56)) = sK56 )
| ~ ssList(sK11(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178349,c_12924]) ).
tcf(c_178353,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_174723,c_54]) ).
tcf(c_178356,plain,
( frontsegP(cons(sK57,iPr_def_12),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_174723,c_378]) ).
tcf(c_178357,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_174723,c_375]) ).
tcf(c_178361,plain,
( frontsegP(cons(sK57,iPr_def_12),nil)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178356,c_141]) ).
tcf(c_178364,plain,
( rearsegP(cons(sK57,iPr_def_12),cons(sK57,iPr_def_12))
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178357,c_141]) ).
tcf(c_178367,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_178353,c_174723]) ).
tcf(c_178368,plain,
( memberP(cons(sK57,iPr_def_12),sK57)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178367,c_173203,c_141,c_12925]) ).
tcf(c_178397,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_378,c_174]) ).
tcf(c_178399,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_180,c_174]) ).
tcf(c_178401,plain,
( ( sK59 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ frontsegP(sK59,iPr_def_11) ),
inference(superposition,[status(thm)],[c_173981,c_174]) ).
tcf(c_178402,plain,
( ( iPr_def_11 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(superposition,[status(thm)],[c_173980,c_174]) ).
tcf(c_178403,plain,
( ( iPr_def_12 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_12)
| ~ frontsegP(iPr_def_12,iPr_def_13) ),
inference(superposition,[status(thm)],[c_173979,c_174]) ).
tcf(c_178404,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ frontsegP(nil,iPr_def_10) ),
inference(superposition,[status(thm)],[c_173978,c_174]) ).
tcf(c_178405,plain,
( ( nil = sK60 )
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ frontsegP(nil,sK60) ),
inference(superposition,[status(thm)],[c_173977,c_174]) ).
tcf(c_178406,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ frontsegP(nil,sK59) ),
inference(superposition,[status(thm)],[c_173976,c_174]) ).
tcf(c_178407,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ frontsegP(nil,sK56) ),
inference(superposition,[status(thm)],[c_173975,c_174]) ).
tcf(c_178408,plain,
( ( nil = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ frontsegP(nil,iPr_def_13) ),
inference(superposition,[status(thm)],[c_173974,c_174]) ).
tcf(c_178415,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ frontsegP(nil,iPr_def_11) ),
inference(superposition,[status(thm)],[c_173967,c_174]) ).
tcf(c_178417,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ frontsegP(nil,iPr_def_12) ),
inference(superposition,[status(thm)],[c_173965,c_174]) ).
tcf(c_178418,plain,
~ frontsegP(nil,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_178417,c_177323,c_173203,c_141]) ).
tcf(c_178419,plain,
~ frontsegP(nil,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_178415,c_177324,c_173202,c_141]) ).
tcf(c_178420,plain,
~ frontsegP(nil,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_178408,c_177327,c_172540,c_141]) ).
tcf(c_178421,plain,
( ( nil = sK56 )
| ~ frontsegP(nil,sK56) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178407,c_12924,c_141]) ).
tcf(c_178424,plain,
( ( nil = sK59 )
| ~ frontsegP(nil,sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178406,c_12926,c_141]) ).
tcf(c_178427,plain,
( ( nil = sK60 )
| ~ frontsegP(nil,sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178405,c_12927,c_141]) ).
tcf(c_178430,plain,
~ frontsegP(nil,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_178404,c_174077,c_173031,c_141]) ).
tcf(c_178431,plain,
( ( iPr_def_12 = iPr_def_13 )
| ~ frontsegP(iPr_def_12,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178403,c_172540,c_173203]) ).
tcf(c_178434,plain,
( ( iPr_def_11 = iPr_def_12 )
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178402,c_173203,c_173202]) ).
tcf(c_178437,plain,
( ( sK59 = iPr_def_11 )
| ~ frontsegP(sK59,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178401,c_173202,c_12926]) ).
tcf(c_178457,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0) ),
inference(superposition,[status(thm)],[c_12918,c_176]) ).
tcf(c_178458,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_12919,c_176]) ).
tcf(c_178459,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_12920,c_176]) ).
tcf(c_178460,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_173059,c_176]) ).
tcf(c_178461,plain,
! [X0: $i] :
( frontsegP(sK60,X0)
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_172878,c_176]) ).
tcf(c_178462,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_172879,c_176]) ).
tcf(c_178463,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_172880,c_176]) ).
tcf(c_178464,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_172881,c_176]) ).
tcf(c_178471,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_173236,c_176]) ).
tcf(c_178473,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_173238,c_176]) ).
tcf(c_178488,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK60),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_174718,c_176]) ).
tcf(c_178489,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK59),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_174719,c_176]) ).
tcf(c_178490,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK56),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_174720,c_176]) ).
tcf(c_178491,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_13),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_174721,c_176]) ).
tcf(c_178492,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_174722,c_176]) ).
tcf(c_178493,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_174723,c_176]) ).
tcf(c_178494,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(sK11(iPr_def_11,sK59)) ),
inference(superposition,[status(thm)],[c_177509,c_176]) ).
tcf(c_178495,plain,
! [X0: $i] :
( frontsegP(sK60,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK11(sK60,nil)) ),
inference(superposition,[status(thm)],[c_177505,c_176]) ).
tcf(c_178496,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK11(sK59,nil)) ),
inference(superposition,[status(thm)],[c_177504,c_176]) ).
tcf(c_178497,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK11(sK56,nil)) ),
inference(superposition,[status(thm)],[c_177503,c_176]) ).
tcf(c_178502,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,sK60))
| ~ frontsegP(sK12(iPr_def_13,sK60),X0) ),
inference(superposition,[status(thm)],[c_177563,c_176]) ).
tcf(c_178503,plain,
! [X0: $i] :
( frontsegP(sK60,X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(sK60,sK60))
| ~ frontsegP(sK12(sK60,sK60),X0) ),
inference(superposition,[status(thm)],[c_177551,c_176]) ).
tcf(c_178504,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,sK59))
| ~ frontsegP(sK12(sK59,sK59),X0) ),
inference(superposition,[status(thm)],[c_177550,c_176]) ).
tcf(c_178505,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,sK56))
| ~ frontsegP(sK12(sK56,sK56),X0) ),
inference(superposition,[status(thm)],[c_177549,c_176]) ).
tcf(c_178506,plain,
! [X0: $i] :
( frontsegP(sK60,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK60,nil))
| ~ frontsegP(sK12(sK60,nil),X0) ),
inference(superposition,[status(thm)],[c_177562,c_176]) ).
tcf(c_178507,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ~ frontsegP(sK12(sK59,nil),X0) ),
inference(superposition,[status(thm)],[c_177561,c_176]) ).
tcf(c_178508,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ~ frontsegP(sK12(sK56,nil),X0) ),
inference(superposition,[status(thm)],[c_177560,c_176]) ).
tcf(c_178509,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_178510,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_178511,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178473,c_173203,c_141]) ).
tcf(c_178515,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178471,c_173202,c_141]) ).
tcf(c_178519,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178464,c_172540,c_141]) ).
tcf(c_178523,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178463,c_12924,c_141]) ).
tcf(c_178527,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178462,c_12926,c_141]) ).
tcf(c_178531,plain,
! [X0: $i] :
( frontsegP(sK60,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178461,c_12927,c_141]) ).
tcf(c_178535,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178460,c_173031,c_141]) ).
tcf(c_178539,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178459,c_173203,c_12927]) ).
tcf(c_178543,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178458,c_173202,c_173031]) ).
tcf(c_178547,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178457,c_173031,c_12926]) ).
tcf(c_178555,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ~ frontsegP(sK12(sK56,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178508,c_141]) ).
tcf(c_178560,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ~ frontsegP(sK12(sK59,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178507,c_141]) ).
tcf(c_178565,plain,
! [X0: $i] :
( frontsegP(sK60,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK60,nil))
| ~ frontsegP(sK12(sK60,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178506,c_141]) ).
tcf(c_178570,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,sK56))
| ~ frontsegP(sK12(sK56,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178505,c_12924]) ).
tcf(c_178575,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,sK59))
| ~ frontsegP(sK12(sK59,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178504,c_12926]) ).
tcf(c_178580,plain,
! [X0: $i] :
( frontsegP(sK60,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK60,sK60))
| ~ frontsegP(sK12(sK60,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178503,c_12927]) ).
tcf(c_178585,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,sK60))
| ~ frontsegP(sK12(iPr_def_13,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178502,c_12927]) ).
tcf(c_178590,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_12),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178493,c_141]) ).
tcf(c_178595,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_11),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178492,c_141]) ).
tcf(c_178600,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_13),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178491,c_141]) ).
tcf(c_178605,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178490,c_141]) ).
tcf(c_178610,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178489,c_141]) ).
tcf(c_178615,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK60),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178488,c_141]) ).
tcf(c_178730,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_375,c_184]) ).
tcf(c_178732,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_187,c_184]) ).
tcf(c_178734,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ rearsegP(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_173741,c_184]) ).
tcf(c_178735,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_173740,c_184]) ).
tcf(c_178736,plain,
( ( sK60 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK60)
| ~ rearsegP(sK60,iPr_def_13) ),
inference(superposition,[status(thm)],[c_173739,c_184]) ).
tcf(c_178742,plain,
( ( nil = sK60 )
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ rearsegP(nil,sK60) ),
inference(superposition,[status(thm)],[c_173733,c_184]) ).
tcf(c_178743,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ rearsegP(nil,sK59) ),
inference(superposition,[status(thm)],[c_173732,c_184]) ).
tcf(c_178744,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ rearsegP(nil,sK56) ),
inference(superposition,[status(thm)],[c_173731,c_184]) ).
tcf(c_178745,plain,
( ( nil = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ rearsegP(nil,iPr_def_13) ),
inference(superposition,[status(thm)],[c_173730,c_184]) ).
tcf(c_178746,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ rearsegP(nil,iPr_def_10) ),
inference(superposition,[status(thm)],[c_173729,c_184]) ).
tcf(c_178747,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ rearsegP(nil,iPr_def_11) ),
inference(superposition,[status(thm)],[c_173728,c_184]) ).
tcf(c_178749,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ rearsegP(nil,iPr_def_12) ),
inference(superposition,[status(thm)],[c_173726,c_184]) ).
tcf(c_178751,plain,
( ( sK11(sK56,sK56) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(sK56,sK56))
| ~ rearsegP(sK11(sK56,sK56),sK56) ),
inference(superposition,[status(thm)],[c_177710,c_184]) ).
tcf(c_178752,plain,
~ rearsegP(nil,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_178749,c_177323,c_173203,c_141]) ).
tcf(c_178753,plain,
~ rearsegP(nil,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_178747,c_177324,c_173202,c_141]) ).
tcf(c_178754,plain,
~ rearsegP(nil,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_178746,c_174077,c_173031,c_141]) ).
tcf(c_178755,plain,
~ rearsegP(nil,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_178745,c_177327,c_172540,c_141]) ).
tcf(c_178756,plain,
( ( nil = sK56 )
| ~ rearsegP(nil,sK56) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178744,c_12924,c_141]) ).
tcf(c_178759,plain,
( ( nil = sK59 )
| ~ rearsegP(nil,sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178743,c_12926,c_141]) ).
tcf(c_178762,plain,
( ( nil = sK60 )
| ~ rearsegP(nil,sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178742,c_12927,c_141]) ).
tcf(c_178765,plain,
( ( sK60 = iPr_def_13 )
| ~ rearsegP(sK60,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178736,c_172540,c_12927]) ).
tcf(c_178768,plain,
( ( iPr_def_10 = iPr_def_12 )
| ~ rearsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178735,c_173203,c_173031]) ).
tcf(c_178771,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ rearsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178734,c_173202,c_173031]) ).
tcf(c_178775,plain,
( ( sK11(sK56,sK56) = sK56 )
| ~ ssList(sK11(sK56,sK56))
| ~ rearsegP(sK11(sK56,sK56),sK56) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178751,c_12924]) ).
tcf(c_178899,plain,
! [X0: $i] :
( rearsegP(iPr_def_11,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_12918,c_186]) ).
tcf(c_178900,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_12919,c_186]) ).
tcf(c_178901,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0) ),
inference(superposition,[status(thm)],[c_12920,c_186]) ).
tcf(c_178907,plain,
! [X0: $i] :
( rearsegP(sK60,X0)
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_172963,c_186]) ).
tcf(c_178908,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_172964,c_186]) ).
tcf(c_178909,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_172965,c_186]) ).
tcf(c_178910,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_172966,c_186]) ).
tcf(c_178911,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_173058,c_186]) ).
tcf(c_178912,plain,
! [X0: $i] :
( rearsegP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_173235,c_186]) ).
tcf(c_178914,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_173237,c_186]) ).
tcf(c_178916,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK60),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_173272,c_186]) ).
tcf(c_178917,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK59),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_173273,c_186]) ).
tcf(c_178918,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK56),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_173274,c_186]) ).
tcf(c_178919,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_13),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_173275,c_186]) ).
tcf(c_178920,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_173276,c_186]) ).
tcf(c_178921,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_173277,c_186]) ).
tcf(c_178922,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_173278,c_186]) ).
tcf(c_178923,plain,
! [X0: $i] :
( rearsegP(sK49(sK60),X0)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(sK60))
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_173796,c_186]) ).
tcf(c_178924,plain,
! [X0: $i] :
( rearsegP(sK49(sK59),X0)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(sK59))
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_173797,c_186]) ).
tcf(c_178925,plain,
! [X0: $i] :
( rearsegP(sK49(sK56),X0)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(sK56))
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_173798,c_186]) ).
tcf(c_178926,plain,
! [X0: $i] :
( rearsegP(sK49(iPr_def_13),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_13))
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_174872,c_186]) ).
tcf(c_178927,plain,
! [X0: $i] :
( rearsegP(sK49(iPr_def_11),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_11))
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_175451,c_186]) ).
tcf(c_178928,plain,
! [X0: $i] :
( rearsegP(sK49(iPr_def_12),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_12))
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_175986,c_186]) ).
tcf(c_178929,plain,
! [X0: $i] :
( rearsegP(sK49(iPr_def_10),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_10))
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_176778,c_186]) ).
tcf(c_178936,plain,
! [X0: $i] :
( rearsegP(iPr_def_11,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,sK59))
| ~ rearsegP(sK11(iPr_def_11,sK59),X0) ),
inference(superposition,[status(thm)],[c_177509,c_186]) ).
tcf(c_178937,plain,
! [X0: $i] :
( rearsegP(sK60,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK60,nil))
| ~ rearsegP(sK11(sK60,nil),X0) ),
inference(superposition,[status(thm)],[c_177505,c_186]) ).
tcf(c_178938,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ~ rearsegP(sK11(sK59,nil),X0) ),
inference(superposition,[status(thm)],[c_177504,c_186]) ).
tcf(c_178939,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ~ rearsegP(sK11(sK56,nil),X0) ),
inference(superposition,[status(thm)],[c_177503,c_186]) ).
tcf(c_178940,plain,
! [X0: $i] :
( rearsegP(sK60,X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK11(sK60,sK60))
| ~ rearsegP(sK11(sK60,sK60),X0) ),
inference(superposition,[status(thm)],[c_177496,c_186]) ).
tcf(c_178941,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,sK59))
| ~ rearsegP(sK11(sK59,sK59),X0) ),
inference(superposition,[status(thm)],[c_177495,c_186]) ).
tcf(c_178942,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,sK56))
| ~ rearsegP(sK11(sK56,sK56),X0) ),
inference(superposition,[status(thm)],[c_177494,c_186]) ).
tcf(c_178943,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_177490,c_186]) ).
tcf(c_178944,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ ssList(sK12(iPr_def_13,sK60)) ),
inference(superposition,[status(thm)],[c_177563,c_186]) ).
tcf(c_178948,plain,
! [X0: $i] :
( rearsegP(sK60,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK12(sK60,nil)) ),
inference(superposition,[status(thm)],[c_177562,c_186]) ).
tcf(c_178949,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK12(sK59,nil)) ),
inference(superposition,[status(thm)],[c_177561,c_186]) ).
tcf(c_178950,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK12(sK56,nil)) ),
inference(superposition,[status(thm)],[c_177560,c_186]) ).
tcf(c_178951,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_178952,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_178953,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178914,c_173203,c_141]) ).
tcf(c_178957,plain,
! [X0: $i] :
( rearsegP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178912,c_173202,c_141]) ).
tcf(c_178961,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178911,c_173031,c_141]) ).
tcf(c_178965,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178910,c_172540,c_141]) ).
tcf(c_178969,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178909,c_12924,c_141]) ).
tcf(c_178973,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178908,c_12926,c_141]) ).
tcf(c_178977,plain,
! [X0: $i] :
( rearsegP(sK60,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178907,c_12927,c_141]) ).
tcf(c_178981,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178901,c_173203,c_12927]) ).
tcf(c_178985,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178900,c_173202,c_173031]) ).
tcf(c_178989,plain,
! [X0: $i] :
( rearsegP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178899,c_173031,c_12926]) ).
tcf(c_178997,plain,
! [X0: $i] :
( rearsegP(sK49(iPr_def_10),X0)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_10))
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178929,c_141]) ).
tcf(c_179002,plain,
! [X0: $i] :
( rearsegP(sK49(iPr_def_12),X0)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_12))
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178928,c_141]) ).
tcf(c_179007,plain,
! [X0: $i] :
( rearsegP(sK49(iPr_def_11),X0)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_11))
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178927,c_141]) ).
tcf(c_179012,plain,
! [X0: $i] :
( rearsegP(sK49(iPr_def_13),X0)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_13))
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178926,c_141]) ).
tcf(c_179017,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_178943,c_173203]) ).
tcf(c_179022,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,sK56))
| ~ rearsegP(sK11(sK56,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178942,c_12924]) ).
tcf(c_179027,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,sK59))
| ~ rearsegP(sK11(sK59,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178941,c_12926]) ).
tcf(c_179032,plain,
! [X0: $i] :
( rearsegP(sK60,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK60,sK60))
| ~ rearsegP(sK11(sK60,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178940,c_12927]) ).
tcf(c_179037,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ~ rearsegP(sK11(sK56,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178939,c_141]) ).
tcf(c_179042,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ~ rearsegP(sK11(sK59,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178938,c_141]) ).
tcf(c_179047,plain,
! [X0: $i] :
( rearsegP(sK60,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK60,nil))
| ~ rearsegP(sK11(sK60,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178937,c_141]) ).
tcf(c_179052,plain,
! [X0: $i] :
( rearsegP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,sK59))
| ~ rearsegP(sK11(iPr_def_11,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178936,c_12926]) ).
tcf(c_179057,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178922,c_141]) ).
tcf(c_179062,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_12),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178921,c_141]) ).
tcf(c_179067,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_11),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178920,c_141]) ).
tcf(c_179072,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_13),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178919,c_141]) ).
tcf(c_179077,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK56),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178918,c_141]) ).
tcf(c_179082,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK59),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178917,c_141]) ).
tcf(c_179087,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK60),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178916,c_141]) ).
tcf(c_179092,plain,
! [X0: $i] :
( rearsegP(sK49(sK56),X0)
| ( nil = sK56 )
| ~ ssList(X0)
| ~ ssList(sK49(sK56))
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178925,c_141]) ).
tcf(c_179098,plain,
! [X0: $i] :
( rearsegP(sK49(sK59),X0)
| ( nil = sK59 )
| ~ ssList(X0)
| ~ ssList(sK49(sK59))
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178924,c_141]) ).
tcf(c_179104,plain,
! [X0: $i] :
( rearsegP(sK49(sK60),X0)
| ( nil = sK60 )
| ~ ssList(X0)
| ~ ssList(sK49(sK60))
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178923,c_141]) ).
tcf(c_179160,plain,
~ frontsegP(sK59,iPr_def_11),
inference(global_subsumption_just,[status(thm)],[c_178437,c_36950]) ).
tcf(c_179174,plain,
~ rearsegP(sK60,iPr_def_13),
inference(global_subsumption_just,[status(thm)],[c_178765,c_31547]) ).
tcf(c_179176,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_174724,c_54]) ).
tcf(c_179179,plain,
( frontsegP(cons(sK57,iPr_def_10),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_174724,c_378]) ).
tcf(c_179180,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_174724,c_375]) ).
tcf(c_179182,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_174724,c_176]) ).
tcf(c_179186,plain,
( frontsegP(cons(sK57,iPr_def_10),nil)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179179,c_141]) ).
tcf(c_179189,plain,
( rearsegP(cons(sK57,iPr_def_10),cons(sK57,iPr_def_10))
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179180,c_141]) ).
tcf(c_179192,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179182,c_141]) ).
tcf(c_179197,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_179176,c_174724]) ).
tcf(c_179198,plain,
( memberP(cons(sK57,iPr_def_10),sK57)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179197,c_173031,c_141,c_12925]) ).
tcf(c_179221,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_194,c_191]) ).
tcf(c_179232,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_179233,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_179234,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_179235,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_179236,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_179237,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_179238,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_179248,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_179249,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_179250,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_179251,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_179252,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_179253,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_179254,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_179255,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_179256,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_179257,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_179258,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_179259,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_179261,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_179262,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_179263,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_179264,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( hd(app(sK60,X0)) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12927,c_233]) ).
tcf(c_179265,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( hd(app(sK59,X0)) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12926,c_233]) ).
tcf(c_179266,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( hd(app(sK56,X0)) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12924,c_233]) ).
tcf(c_179267,plain,
! [X0: $i] :
( ( nil = iPr_def_13 )
| ( hd(app(iPr_def_13,X0)) = hd(iPr_def_13) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_172540,c_233]) ).
tcf(c_179268,plain,
! [X0: $i] :
( ( nil = iPr_def_11 )
| ( hd(app(iPr_def_11,X0)) = hd(iPr_def_11) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_173202,c_233]) ).
tcf(c_179269,plain,
! [X0: $i] :
( ( nil = iPr_def_12 )
| ( hd(app(iPr_def_12,X0)) = hd(iPr_def_12) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_173203,c_233]) ).
tcf(c_179270,plain,
! [X0: $i] :
( ( nil = iPr_def_10 )
| ( hd(app(iPr_def_10,X0)) = hd(iPr_def_10) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_173031,c_233]) ).
tcf(c_179271,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( hd(app(tl(sK60),X0)) = hd(tl(sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175448,c_233]) ).
tcf(c_179272,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( hd(app(tl(sK59),X0)) = hd(tl(sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175843,c_233]) ).
tcf(c_179273,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( hd(app(tl(sK56),X0)) = hd(tl(sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175889,c_233]) ).
tcf(c_179274,plain,
! [X0: $i] :
( ( nil = iPr_def_10 )
| ( hd(app(iPr_def_10,X0)) = sK57 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_179270,c_174364]) ).
tcf(c_179275,plain,
! [X0: $i] :
( ( hd(app(iPr_def_10,X0)) = sK57 )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179274,c_174077]) ).
tcf(c_179278,plain,
! [X0: $i] :
( ( hd(app(iPr_def_12,X0)) = hd(iPr_def_12) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179269,c_177323]) ).
tcf(c_179281,plain,
! [X0: $i] :
( ( hd(app(iPr_def_11,X0)) = hd(iPr_def_11) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179268,c_177324]) ).
tcf(c_179284,plain,
! [X0: $i] :
( ( hd(app(iPr_def_13,X0)) = hd(iPr_def_13) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179267,c_177327]) ).
tcf(c_179566,plain,
( ( sK11(sK59,sK59) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(sK59,sK59))
| ~ rearsegP(sK11(sK59,sK59),sK59) ),
inference(superposition,[status(thm)],[c_177722,c_184]) ).
tcf(c_179567,plain,
( ( app(sK12(sK59,sK11(sK59,sK59)),sK11(sK59,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_177722,c_66]) ).
tcf(c_179568,plain,
( ( app(sK12(sK59,sK11(sK59,sK59)),sK11(sK59,sK59)) = sK59 )
| ~ ssList(sK11(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179567,c_12926]) ).
tcf(c_179571,plain,
( ( sK11(sK59,sK59) = sK59 )
| ~ ssList(sK11(sK59,sK59))
| ~ rearsegP(sK11(sK59,sK59),sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179566,c_12926]) ).
tcf(c_179579,plain,
( ( sK11(sK60,sK60) = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK11(sK60,sK60))
| ~ rearsegP(sK11(sK60,sK60),sK60) ),
inference(superposition,[status(thm)],[c_177734,c_184]) ).
tcf(c_179580,plain,
( ( app(sK12(sK60,sK11(sK60,sK60)),sK11(sK60,sK60)) = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK11(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_177734,c_66]) ).
tcf(c_179581,plain,
( ( app(sK12(sK60,sK11(sK60,sK60)),sK11(sK60,sK60)) = sK60 )
| ~ ssList(sK11(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179580,c_12927]) ).
tcf(c_179584,plain,
( ( sK11(sK60,sK60) = sK60 )
| ~ ssList(sK11(sK60,sK60))
| ~ rearsegP(sK11(sK60,sK60),sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179579,c_12927]) ).
tcf(c_179603,plain,
( ( sK11(iPr_def_11,sK59) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK11(iPr_def_11,sK59))
| ~ rearsegP(sK11(iPr_def_11,sK59),iPr_def_11) ),
inference(superposition,[status(thm)],[c_177782,c_184]) ).
tcf(c_179604,plain,
( ( app(sK12(iPr_def_11,sK11(iPr_def_11,sK59)),sK11(iPr_def_11,sK59)) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK11(iPr_def_11,sK59)) ),
inference(superposition,[status(thm)],[c_177782,c_66]) ).
tcf(c_179605,plain,
( ( app(sK12(iPr_def_11,sK11(iPr_def_11,sK59)),sK11(iPr_def_11,sK59)) = iPr_def_11 )
| ~ ssList(sK11(iPr_def_11,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179604,c_173202]) ).
tcf(c_179608,plain,
( ( sK11(iPr_def_11,sK59) = iPr_def_11 )
| ~ ssList(sK11(iPr_def_11,sK59))
| ~ rearsegP(sK11(iPr_def_11,sK59),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179603,c_173202]) ).
tcf(c_179630,plain,
( ( sK12(sK56,sK56) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK12(sK56,sK56))
| ~ frontsegP(sK12(sK56,sK56),sK56) ),
inference(superposition,[status(thm)],[c_177829,c_174]) ).
tcf(c_179631,plain,
( ( app(sK12(sK56,sK56),sK11(sK56,sK12(sK56,sK56))) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK12(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_177829,c_63]) ).
tcf(c_179632,plain,
( ( app(sK12(sK56,sK56),sK11(sK56,sK12(sK56,sK56))) = sK56 )
| ~ ssList(sK12(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179631,c_12924]) ).
tcf(c_179635,plain,
( ( sK12(sK56,sK56) = sK56 )
| ~ ssList(sK12(sK56,sK56))
| ~ frontsegP(sK12(sK56,sK56),sK56) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179630,c_12924]) ).
tcf(c_179657,plain,
memberP(cons(sK57,iPr_def_11),sK57),
inference(global_subsumption_just,[status(thm)],[c_177849,c_21399,c_83430]) ).
tcf(c_179665,plain,
( memberP(iPr_def_13,sK57)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_172722,c_177930]) ).
tcf(c_179666,plain,
memberP(iPr_def_13,sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_179665,c_12925]) ).
tcf(c_179673,plain,
hd(iPr_def_13) = sK51(iPr_def_13),
inference(global_subsumption_just,[status(thm)],[c_174919,c_18322,c_21048]) ).
tcf(c_179675,plain,
( ssItem(hd(iPr_def_13))
| ( nil = iPr_def_13 )
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_179673,c_219]) ).
tcf(c_179676,plain,
ssItem(hd(iPr_def_13)),
inference(forward_subsumption_resolution,[status(thm)],[c_179675,c_177327,c_172540]) ).
tcf(c_179691,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_179692,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_179693,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_179694,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_179695,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_179696,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_179697,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_179707,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_179708,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_179709,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_179710,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_179711,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_179712,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_179713,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_179714,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_179715,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_179716,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_179717,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_179718,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_179720,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_179721,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_179722,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_179723,plain,
( equalelemsP(sK60)
| ( app(sK47(sK60),cons(sK45(sK60),cons(sK46(sK60),sK48(sK60)))) = sK60 ) ),
inference(superposition,[status(thm)],[c_12927,c_132]) ).
tcf(c_179724,plain,
( equalelemsP(sK59)
| ( app(sK47(sK59),cons(sK45(sK59),cons(sK46(sK59),sK48(sK59)))) = sK59 ) ),
inference(superposition,[status(thm)],[c_12926,c_132]) ).
tcf(c_179725,plain,
( equalelemsP(sK56)
| ( app(sK47(sK56),cons(sK45(sK56),cons(sK46(sK56),sK48(sK56)))) = sK56 ) ),
inference(superposition,[status(thm)],[c_12924,c_132]) ).
tcf(c_179727,plain,
( equalelemsP(iPr_def_11)
| ( app(sK47(iPr_def_11),cons(sK45(iPr_def_11),cons(sK46(iPr_def_11),sK48(iPr_def_11)))) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_173202,c_132]) ).
tcf(c_179728,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_173203,c_132]) ).
tcf(c_179730,plain,
( equalelemsP(tl(sK60))
| ( nil = sK60 )
| ( app(sK47(tl(sK60)),cons(sK45(tl(sK60)),cons(sK46(tl(sK60)),sK48(tl(sK60))))) = tl(sK60) ) ),
inference(superposition,[status(thm)],[c_175448,c_132]) ).
tcf(c_179731,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_175843,c_132]) ).
tcf(c_179732,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_175889,c_132]) ).
tcf(c_180029,plain,
( leq(sK50(sK60),hd(sK49(sK60)))
| ( nil = sK60 )
| ( sK49(sK60) = nil )
| ~ totalorderedP(sK60)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60)) ),
inference(superposition,[status(thm)],[c_176051,c_208]) ).
tcf(c_180030,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_176052,c_208]) ).
tcf(c_180031,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_176053,c_208]) ).
tcf(c_180032,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_176061,c_208]) ).
tcf(c_180033,plain,
( leq(hd(sK60),hd(tl(sK60)))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ totalorderedP(sK60)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60)) ),
inference(superposition,[status(thm)],[c_176242,c_208]) ).
tcf(c_180034,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_176243,c_208]) ).
tcf(c_180035,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_176244,c_208]) ).
tcf(c_180036,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_180032,c_172649]) ).
tcf(c_180086,plain,
! [X0: $i] :
( ( app(cons(hd(iPr_def_13),nil),X0) = cons(hd(iPr_def_13),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_179676,c_227]) ).
tcf(c_180087,plain,
! [X0: $i] :
( ( tl(cons(hd(iPr_def_13),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_179676,c_152]) ).
tcf(c_180088,plain,
! [X0: $i] :
( ( hd(cons(hd(iPr_def_13),X0)) = hd(iPr_def_13) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_179676,c_150]) ).
tcf(c_180089,plain,
! [X0: $i] :
( ( app(nil,cons(hd(iPr_def_13),X0)) = cons(hd(iPr_def_13),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_179676,c_173030]) ).
tcf(c_180090,plain,
! [X0: $i] :
( ( app(cons(hd(iPr_def_13),X0),nil) = cons(hd(iPr_def_13),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_179676,c_173029]) ).
tcf(c_180104,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_177491,c_375]) ).
tcf(c_180108,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_177491,c_186]) ).
tcf(c_180109,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_177491,c_166]) ).
tcf(c_180110,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_180104,c_173202]) ).
tcf(c_180113,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_180109,c_173202]) ).
tcf(c_180118,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_180108,c_173202]) ).
tcf(c_180126,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_177492,c_375]) ).
tcf(c_180130,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_177492,c_186]) ).
tcf(c_180131,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_177492,c_166]) ).
tcf(c_180132,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_180126,c_173031]) ).
tcf(c_180135,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_180131,c_173031]) ).
tcf(c_180140,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_180130,c_173031]) ).
tcf(c_180157,plain,
( rearsegP(iPr_def_13,sK11(iPr_def_13,iPr_def_13))
| ~ ssList(iPr_def_13)
| ~ ssList(sK11(iPr_def_13,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_177493,c_375]) ).
tcf(c_180161,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_13))
| ~ rearsegP(sK11(iPr_def_13,iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_177493,c_186]) ).
tcf(c_180162,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_13))
| ~ memberP(sK11(iPr_def_13,iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_177493,c_166]) ).
tcf(c_180163,plain,
( rearsegP(iPr_def_13,sK11(iPr_def_13,iPr_def_13))
| ~ ssList(sK11(iPr_def_13,iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180157,c_172540]) ).
tcf(c_180166,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_13))
| ~ memberP(sK11(iPr_def_13,iPr_def_13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180162,c_172540]) ).
tcf(c_180171,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_13))
| ~ rearsegP(sK11(iPr_def_13,iPr_def_13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180161,c_172540]) ).
tcf(c_180189,plain,
( memberP(iPr_def_11,sK10(iPr_def_10))
| ~ ssItem(sK10(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_178173,c_178011]) ).
tcf(c_180196,plain,
( ( sK12(sK59,sK59) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK12(sK59,sK59))
| ~ frontsegP(sK12(sK59,sK59),sK59) ),
inference(superposition,[status(thm)],[c_178211,c_174]) ).
tcf(c_180197,plain,
( ( app(sK12(sK59,sK59),sK11(sK59,sK12(sK59,sK59))) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK12(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_178211,c_63]) ).
tcf(c_180198,plain,
( ( app(sK12(sK59,sK59),sK11(sK59,sK12(sK59,sK59))) = sK59 )
| ~ ssList(sK12(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180197,c_12926]) ).
tcf(c_180201,plain,
( ( sK12(sK59,sK59) = sK59 )
| ~ ssList(sK12(sK59,sK59))
| ~ frontsegP(sK12(sK59,sK59),sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180196,c_12926]) ).
tcf(c_180209,plain,
( ( sK12(sK60,sK60) = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK12(sK60,sK60))
| ~ frontsegP(sK12(sK60,sK60),sK60) ),
inference(superposition,[status(thm)],[c_178230,c_174]) ).
tcf(c_180210,plain,
( ( app(sK12(sK60,sK60),sK11(sK60,sK12(sK60,sK60))) = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK12(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_178230,c_63]) ).
tcf(c_180211,plain,
( ( app(sK12(sK60,sK60),sK11(sK60,sK12(sK60,sK60))) = sK60 )
| ~ ssList(sK12(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180210,c_12927]) ).
tcf(c_180214,plain,
( ( sK12(sK60,sK60) = sK60 )
| ~ ssList(sK12(sK60,sK60))
| ~ frontsegP(sK12(sK60,sK60),sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180209,c_12927]) ).
tcf(c_180222,plain,
( ( sK12(iPr_def_13,sK60) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK12(iPr_def_13,sK60))
| ~ frontsegP(sK12(iPr_def_13,sK60),iPr_def_13) ),
inference(superposition,[status(thm)],[c_178306,c_174]) ).
tcf(c_180223,plain,
( ( app(sK12(iPr_def_13,sK60),sK11(iPr_def_13,sK12(iPr_def_13,sK60))) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK12(iPr_def_13,sK60)) ),
inference(superposition,[status(thm)],[c_178306,c_63]) ).
tcf(c_180224,plain,
( ( app(sK12(iPr_def_13,sK60),sK11(iPr_def_13,sK12(iPr_def_13,sK60))) = iPr_def_13 )
| ~ ssList(sK12(iPr_def_13,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180223,c_172540]) ).
tcf(c_180227,plain,
( ( sK12(iPr_def_13,sK60) = iPr_def_13 )
| ~ ssList(sK12(iPr_def_13,sK60))
| ~ frontsegP(sK12(iPr_def_13,sK60),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180222,c_172540]) ).
tcf(c_180231,plain,
memberP(cons(sK57,iPr_def_12),sK57),
inference(global_subsumption_just,[status(thm)],[c_178368,c_22097,c_86120]) ).
tcf(c_180251,plain,
hd(iPr_def_11) = sK51(iPr_def_11),
inference(global_subsumption_just,[status(thm)],[c_174920,c_18323,c_20882]) ).
tcf(c_180253,plain,
( ssItem(hd(iPr_def_11))
| ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_180251,c_219]) ).
tcf(c_180254,plain,
ssItem(hd(iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_180253,c_177324,c_173202]) ).
tcf(c_180269,plain,
( lt(sK50(sK60),hd(sK49(sK60)))
| ( nil = sK60 )
| ( sK49(sK60) = nil )
| ~ strictorderedP(sK60)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60)) ),
inference(superposition,[status(thm)],[c_176051,c_214]) ).
tcf(c_180270,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_176052,c_214]) ).
tcf(c_180271,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_176053,c_214]) ).
tcf(c_180272,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_176061,c_214]) ).
tcf(c_180273,plain,
( lt(hd(sK60),hd(tl(sK60)))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ strictorderedP(sK60)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60)) ),
inference(superposition,[status(thm)],[c_176242,c_214]) ).
tcf(c_180274,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_176243,c_214]) ).
tcf(c_180275,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_176244,c_214]) ).
tcf(c_180276,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_180272,c_172655]) ).
tcf(c_180401,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_378,c_173]) ).
tcf(c_180403,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_180404,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_180406,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0) ),
inference(superposition,[status(thm)],[c_173981,c_173]) ).
tcf(c_180407,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_173980,c_173]) ).
tcf(c_180408,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_173979,c_173]) ).
tcf(c_180426,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,sK60))
| ~ frontsegP(sK12(iPr_def_13,sK60),X0) ),
inference(superposition,[status(thm)],[c_178306,c_173]) ).
tcf(c_180430,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180404,c_141]) ).
tcf(c_180450,plain,
! [X0: $i] :
( ( app(cons(hd(iPr_def_11),nil),X0) = cons(hd(iPr_def_11),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_180254,c_227]) ).
tcf(c_180451,plain,
! [X0: $i] :
( ( tl(cons(hd(iPr_def_11),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_180254,c_152]) ).
tcf(c_180452,plain,
! [X0: $i] :
( ( hd(cons(hd(iPr_def_11),X0)) = hd(iPr_def_11) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_180254,c_150]) ).
tcf(c_180453,plain,
! [X0: $i] :
( ( app(nil,cons(hd(iPr_def_11),X0)) = cons(hd(iPr_def_11),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_180254,c_173030]) ).
tcf(c_180454,plain,
! [X0: $i] :
( ( app(cons(hd(iPr_def_11),X0),nil) = cons(hd(iPr_def_11),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_180254,c_173029]) ).
tcf(c_180466,plain,
( ( sK11(nil,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_177497,c_230]) ).
tcf(c_180468,plain,
( rearsegP(nil,sK11(nil,nil))
| ~ ssList(nil)
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_177497,c_375]) ).
tcf(c_180472,plain,
! [X0: $i] :
( rearsegP(nil,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),X0) ),
inference(superposition,[status(thm)],[c_177497,c_186]) ).
tcf(c_180473,plain,
! [X0: $i] :
( memberP(nil,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK11(nil,nil))
| ~ memberP(sK11(nil,nil),X0) ),
inference(superposition,[status(thm)],[c_177497,c_166]) ).
tcf(c_180474,plain,
( rearsegP(nil,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180468,c_141]) ).
tcf(c_180477,plain,
( ( sK11(nil,nil) = nil )
| ~ ssList(sK11(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180466,c_141]) ).
tcf(c_180480,plain,
! [X0: $i] :
( memberP(nil,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(nil,nil))
| ~ memberP(sK11(nil,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180473,c_141]) ).
tcf(c_180485,plain,
! [X0: $i] :
( rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180472,c_141]) ).
tcf(c_180493,plain,
( rearsegP(iPr_def_12,sK11(iPr_def_12,nil))
| ~ ssList(nil)
| ~ ssList(sK11(iPr_def_12,nil)) ),
inference(superposition,[status(thm)],[c_177500,c_375]) ).
tcf(c_180495,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_177500,c_176]) ).
tcf(c_180497,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_177500,c_186]) ).
tcf(c_180498,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_177500,c_166]) ).
tcf(c_180499,plain,
( rearsegP(iPr_def_12,sK11(iPr_def_12,nil))
| ~ ssList(sK11(iPr_def_12,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180493,c_141]) ).
tcf(c_180503,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_180498,c_141]) ).
tcf(c_180508,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_180497,c_141]) ).
tcf(c_180516,plain,
( rearsegP(iPr_def_11,sK11(iPr_def_11,nil))
| ~ ssList(nil)
| ~ ssList(sK11(iPr_def_11,nil)) ),
inference(superposition,[status(thm)],[c_177501,c_375]) ).
tcf(c_180518,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_177501,c_176]) ).
tcf(c_180520,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_177501,c_186]) ).
tcf(c_180521,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_177501,c_166]) ).
tcf(c_180522,plain,
( rearsegP(iPr_def_11,sK11(iPr_def_11,nil))
| ~ ssList(sK11(iPr_def_11,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180516,c_141]) ).
tcf(c_180526,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_180521,c_141]) ).
tcf(c_180531,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_180520,c_141]) ).
tcf(c_180553,plain,
( frontsegP(iPr_def_13,iPr_def_11)
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_173980,c_178539]) ).
tcf(c_180556,plain,
frontsegP(iPr_def_13,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_180553,c_173202]) ).
tcf(c_180567,plain,
( frontsegP(iPr_def_11,sK12(sK59,sK59))
| ~ ssList(sK12(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_178211,c_178547]) ).
tcf(c_180607,plain,
( rearsegP(iPr_def_13,sK11(sK60,sK60))
| ~ ssList(sK11(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_177734,c_178981]) ).
tcf(c_180620,plain,
hd(iPr_def_12) = sK51(iPr_def_12),
inference(global_subsumption_just,[status(thm)],[c_174921,c_18324,c_20881]) ).
tcf(c_180622,plain,
( ssItem(hd(iPr_def_12))
| ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_180620,c_219]) ).
tcf(c_180623,plain,
ssItem(hd(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_180622,c_177323,c_173203]) ).
tcf(c_180634,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,cons(sK57,X0))
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_12917,c_177]) ).
tcf(c_180635,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,cons(sK10(iPr_def_13),X0))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_13))
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_174042,c_177]) ).
tcf(c_180636,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_174048,c_177]) ).
tcf(c_180637,plain,
! [X0: $i] :
( frontsegP(sK60,cons(sK50(sK60),X0))
| ( nil = sK60 )
| ~ ssList(X0)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ~ frontsegP(sK49(sK60),X0) ),
inference(superposition,[status(thm)],[c_176051,c_177]) ).
tcf(c_180638,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_176052,c_177]) ).
tcf(c_180639,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_176053,c_177]) ).
tcf(c_180640,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_176061,c_177]) ).
tcf(c_180641,plain,
! [X0: $i] :
( frontsegP(sK60,cons(hd(sK60),X0))
| ( nil = sK60 )
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ~ frontsegP(tl(sK60),X0) ),
inference(superposition,[status(thm)],[c_176242,c_177]) ).
tcf(c_180642,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_176243,c_177]) ).
tcf(c_180643,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_176244,c_177]) ).
tcf(c_180644,plain,
! [X0: $i] :
( frontsegP(cons(sK57,X0),iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ),
inference(superposition,[status(thm)],[c_12917,c_177]) ).
tcf(c_180645,plain,
! [X0: $i] :
( frontsegP(cons(sK10(iPr_def_13),X0),iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_13))
| ~ frontsegP(X0,nil) ),
inference(superposition,[status(thm)],[c_174042,c_177]) ).
tcf(c_180646,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_174048,c_177]) ).
tcf(c_180647,plain,
! [X0: $i] :
( frontsegP(cons(sK50(sK60),X0),sK60)
| ( nil = sK60 )
| ~ ssList(X0)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ~ frontsegP(X0,sK49(sK60)) ),
inference(superposition,[status(thm)],[c_176051,c_177]) ).
tcf(c_180648,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_176052,c_177]) ).
tcf(c_180649,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_176053,c_177]) ).
tcf(c_180650,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_176061,c_177]) ).
tcf(c_180651,plain,
! [X0: $i] :
( frontsegP(cons(hd(sK60),X0),sK60)
| ( nil = sK60 )
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ~ frontsegP(X0,tl(sK60)) ),
inference(superposition,[status(thm)],[c_176242,c_177]) ).
tcf(c_180652,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_176243,c_177]) ).
tcf(c_180653,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_176244,c_177]) ).
tcf(c_180654,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_180655,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_180656,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_180657,plain,
! [X0: $i] :
( frontsegP(cons(sK57,X0),iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180644,c_141,c_12925]) ).
tcf(c_180661,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,cons(sK57,X0))
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180634,c_141,c_12925]) ).
tcf(c_180665,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_180646,c_141]) ).
tcf(c_180670,plain,
! [X0: $i] :
( frontsegP(cons(sK10(iPr_def_13),X0),iPr_def_13)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_13))
| ~ frontsegP(X0,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180645,c_141]) ).
tcf(c_180675,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_180636,c_141]) ).
tcf(c_180680,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,cons(sK10(iPr_def_13),X0))
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_13))
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180635,c_141]) ).
tcf(c_180895,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_375,c_183]) ).
tcf(c_180897,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_180898,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_180900,plain,
! [X0: $i] :
( rearsegP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_173741,c_183]) ).
tcf(c_180901,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_173740,c_183]) ).
tcf(c_180902,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0) ),
inference(superposition,[status(thm)],[c_173739,c_183]) ).
tcf(c_180920,plain,
! [X0: $i] :
( rearsegP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,sK59))
| ~ rearsegP(sK11(iPr_def_11,sK59),X0) ),
inference(superposition,[status(thm)],[c_177782,c_183]) ).
tcf(c_180924,plain,
! [X0: $i,X1: $i] :
( rearsegP(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180898,c_141]) ).
tcf(c_180957,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_180959,plain,
! [X0: $i,X1: $i] :
( segmentP(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180957,c_141]) ).
tcf(c_180972,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_180973,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_180974,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_180975,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_180976,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_180977,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_180978,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_180988,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_180989,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_180990,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_180991,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_180992,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_180993,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_180994,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_180995,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_180996,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_180997,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_180998,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_180999,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_181001,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_181002,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_181003,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_181004,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( app(tl(sK60),X0) = tl(app(sK60,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12927,c_234]) ).
tcf(c_181005,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( app(tl(sK59),X0) = tl(app(sK59,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12926,c_234]) ).
tcf(c_181006,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( app(tl(sK56),X0) = tl(app(sK56,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12924,c_234]) ).
tcf(c_181007,plain,
! [X0: $i] :
( ( nil = iPr_def_13 )
| ( app(tl(iPr_def_13),X0) = tl(app(iPr_def_13,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_172540,c_234]) ).
tcf(c_181008,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_173202,c_234]) ).
tcf(c_181009,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_173203,c_234]) ).
tcf(c_181010,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_173031,c_234]) ).
tcf(c_181011,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( app(tl(tl(sK60)),X0) = tl(app(tl(sK60),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175448,c_234]) ).
tcf(c_181012,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_175843,c_234]) ).
tcf(c_181013,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_175889,c_234]) ).
tcf(c_181014,plain,
! [X0: $i] :
( ( nil = iPr_def_10 )
| ( tl(app(iPr_def_10,X0)) = app(nil,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_181010,c_174511]) ).
tcf(c_181015,plain,
! [X0: $i] :
( ( tl(app(iPr_def_10,X0)) = app(nil,X0) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_181014,c_174077]) ).
tcf(c_181018,plain,
! [X0: $i] :
( ( app(tl(iPr_def_12),X0) = tl(app(iPr_def_12,X0)) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_181009,c_177323]) ).
tcf(c_181021,plain,
! [X0: $i] :
( ( app(tl(iPr_def_11),X0) = tl(app(iPr_def_11,X0)) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_181008,c_177324]) ).
tcf(c_181024,plain,
! [X0: $i] :
( ( app(tl(iPr_def_13),X0) = tl(app(iPr_def_13,X0)) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_181007,c_177327]) ).
tcf(c_181368,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_180556,c_173]) ).
tcf(c_181369,plain,
( ( iPr_def_11 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_11)
| ~ frontsegP(iPr_def_11,iPr_def_13) ),
inference(superposition,[status(thm)],[c_180556,c_174]) ).
tcf(c_181370,plain,
( ( app(iPr_def_11,sK11(iPr_def_13,iPr_def_11)) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_180556,c_63]) ).
tcf(c_181371,plain,
app(iPr_def_11,sK11(iPr_def_13,iPr_def_11)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_181370,c_172540,c_173202]) ).
tcf(c_181372,plain,
( ( iPr_def_11 = iPr_def_13 )
| ~ frontsegP(iPr_def_11,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_181369,c_172540,c_173202]) ).
tcf(c_181375,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_181368,c_172540,c_173202]) ).
tcf(c_181407,plain,
! [X0: $i] :
( ( app(cons(hd(iPr_def_12),nil),X0) = cons(hd(iPr_def_12),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_180623,c_227]) ).
tcf(c_181408,plain,
! [X0: $i] :
( ( tl(cons(hd(iPr_def_12),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_180623,c_152]) ).
tcf(c_181409,plain,
! [X0: $i] :
( ( hd(cons(hd(iPr_def_12),X0)) = hd(iPr_def_12) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_180623,c_150]) ).
tcf(c_181410,plain,
! [X0: $i] :
( ( app(nil,cons(hd(iPr_def_12),X0)) = cons(hd(iPr_def_12),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_180623,c_173030]) ).
tcf(c_181411,plain,
! [X0: $i] :
( ( app(cons(hd(iPr_def_12),X0),nil) = cons(hd(iPr_def_12),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_180623,c_173029]) ).
tcf(c_181425,plain,
( rearsegP(iPr_def_13,sK11(iPr_def_13,nil))
| ~ ssList(nil)
| ~ ssList(sK11(iPr_def_13,nil)) ),
inference(superposition,[status(thm)],[c_177502,c_375]) ).
tcf(c_181427,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK11(iPr_def_13,nil)) ),
inference(superposition,[status(thm)],[c_177502,c_176]) ).
tcf(c_181429,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,nil))
| ~ rearsegP(sK11(iPr_def_13,nil),X0) ),
inference(superposition,[status(thm)],[c_177502,c_186]) ).
tcf(c_181430,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_13,nil))
| ~ memberP(sK11(iPr_def_13,nil),X0) ),
inference(superposition,[status(thm)],[c_177502,c_166]) ).
tcf(c_181431,plain,
( rearsegP(iPr_def_13,sK11(iPr_def_13,nil))
| ~ ssList(sK11(iPr_def_13,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_181425,c_141]) ).
tcf(c_181435,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_13,nil))
| ~ memberP(sK11(iPr_def_13,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_181430,c_141]) ).
tcf(c_181440,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,nil))
| ~ rearsegP(sK11(iPr_def_13,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_181429,c_141]) ).
tcf(c_181448,plain,
( rearsegP(iPr_def_10,sK11(iPr_def_10,nil))
| ~ ssList(nil)
| ~ ssList(sK11(iPr_def_10,nil)) ),
inference(superposition,[status(thm)],[c_177506,c_375]) ).
tcf(c_181450,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_177506,c_176]) ).
tcf(c_181452,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_177506,c_186]) ).
tcf(c_181453,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_177506,c_166]) ).
tcf(c_181454,plain,
( rearsegP(iPr_def_10,sK11(iPr_def_10,nil))
| ~ ssList(sK11(iPr_def_10,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_181448,c_141]) ).
tcf(c_181458,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_181453,c_141]) ).
tcf(c_181463,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_181452,c_141]) ).
tcf(c_181468,plain,
memberP(cons(sK57,iPr_def_10),sK57),
inference(global_subsumption_just,[status(thm)],[c_179198,c_22828,c_86947]) ).
tcf(c_181470,plain,
! [X0: $i] :
( frontsegP(cons(sK57,X0),iPr_def_10)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_180657,c_180,c_24259]) ).
tcf(c_181477,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,X0),X1)
| ~ ssList(iPr_def_10)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X1)
| ~ ssList(cons(sK57,X0)) ),
inference(superposition,[status(thm)],[c_181470,c_173]) ).
tcf(c_181478,plain,
! [X0: $i] :
( ( cons(sK57,X0) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(cons(sK57,X0))
| ~ frontsegP(iPr_def_10,cons(sK57,X0)) ),
inference(superposition,[status(thm)],[c_181470,c_174]) ).
tcf(c_181479,plain,
! [X0: $i] :
( ( app(iPr_def_10,sK11(cons(sK57,X0),iPr_def_10)) = cons(sK57,X0) )
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(cons(sK57,X0)) ),
inference(superposition,[status(thm)],[c_181470,c_63]) ).
tcf(c_181480,plain,
! [X0: $i] :
( ( app(iPr_def_10,sK11(cons(sK57,X0),iPr_def_10)) = cons(sK57,X0) )
| ~ ssList(X0)
| ~ ssList(cons(sK57,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_181479,c_173031]) ).
tcf(c_181484,plain,
! [X0: $i] :
( ( cons(sK57,X0) = iPr_def_10 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,X0))
| ~ frontsegP(iPr_def_10,cons(sK57,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_181478,c_173031]) ).
tcf(c_181489,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X1)
| ~ ssList(cons(sK57,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_181477,c_173031]) ).
tcf(c_181502,plain,
! [X0: $i,X1: $i] :
( frontsegP(iPr_def_10,X1)
| ~ ssList(iPr_def_10)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,X0))
| ~ frontsegP(cons(sK57,X0),X1) ),
inference(superposition,[status(thm)],[c_180661,c_173]) ).
tcf(c_181503,plain,
! [X0: $i] :
( ( cons(sK57,X0) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,X0))
| ~ frontsegP(cons(sK57,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_180661,c_174]) ).
tcf(c_181504,plain,
! [X0: $i] :
( ( app(cons(sK57,X0),sK11(iPr_def_10,cons(sK57,X0))) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,X0)) ),
inference(superposition,[status(thm)],[c_180661,c_63]) ).
tcf(c_181505,plain,
! [X0: $i] :
( ( app(cons(sK57,X0),sK11(iPr_def_10,cons(sK57,X0))) = iPr_def_10 )
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_181504,c_173031]) ).
tcf(c_181510,plain,
! [X0: $i] :
( ( cons(sK57,X0) = iPr_def_10 )
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,X0))
| ~ frontsegP(cons(sK57,X0),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_181503,c_173031]) ).
tcf(c_181516,plain,
! [X0: $i,X1: $i] :
( frontsegP(iPr_def_10,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,X0))
| ~ frontsegP(cons(sK57,X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_181502,c_173031]) ).
tcf(c_181529,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( hd(app(sK60,sK8(X0,X1))) = hd(sK60) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_179264]) ).
tcf(c_181530,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( hd(app(sK60,sK9(X0,X1))) = hd(sK60) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_179264]) ).
tcf(c_181531,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( hd(app(sK60,app(X0,X1))) = hd(sK60) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_179264]) ).
tcf(c_181532,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( hd(app(sK60,sK11(X0,X1))) = hd(sK60) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_179264]) ).
tcf(c_181533,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( hd(app(sK60,sK12(X0,X1))) = hd(sK60) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_179264]) ).
tcf(c_181534,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( hd(app(sK60,sK13(X0,X1))) = hd(sK60) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_179264]) ).
tcf(c_181535,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( hd(app(sK60,sK14(X0,X1))) = hd(sK60) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_179264]) ).
tcf(c_181545,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK34(X0))) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_179264]) ).
tcf(c_181546,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK33(X0))) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_179264]) ).
tcf(c_181547,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK32(X0))) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_179264]) ).
tcf(c_181548,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK39(X0))) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_179264]) ).
tcf(c_181549,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK38(X0))) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_179264]) ).
tcf(c_181550,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK37(X0))) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_179264]) ).
tcf(c_181551,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK44(X0))) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_179264]) ).
tcf(c_181552,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK43(X0))) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_179264]) ).
tcf(c_181553,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK42(X0))) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_179264]) ).
tcf(c_181554,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK48(X0))) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_179264]) ).
tcf(c_181555,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK47(X0))) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_179264]) ).
tcf(c_181556,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( hd(app(sK60,cons(X0,X1))) = hd(sK60) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_179264]) ).
tcf(c_181557,plain,
( ( nil = sK60 )
| ( hd(app(sK60,nil)) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_141,c_179264]) ).
tcf(c_181558,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ( hd(app(sK60,sK49(X0))) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_179264]) ).
tcf(c_181559,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ( hd(app(sK60,tl(X0))) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_179264]) ).
tcf(c_181560,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ( hd(app(sK60,sK52(X0))) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_179264]) ).
tcf(c_181561,plain,
( ( nil = sK60 )
| ( hd(app(sK60,sK60)) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_12927,c_179264]) ).
tcf(c_181562,plain,
( ( nil = sK60 )
| ( hd(app(sK60,sK59)) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_12926,c_179264]) ).
tcf(c_181563,plain,
( ( nil = sK60 )
| ( hd(app(sK60,sK56)) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_12924,c_179264]) ).
tcf(c_181564,plain,
( ( nil = sK60 )
| ( hd(app(sK60,iPr_def_13)) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_172540,c_179264]) ).
tcf(c_181565,plain,
( ( nil = sK60 )
| ( hd(app(sK60,iPr_def_11)) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_173202,c_179264]) ).
tcf(c_181566,plain,
( ( nil = sK60 )
| ( hd(app(sK60,iPr_def_12)) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_173203,c_179264]) ).
tcf(c_181567,plain,
( ( nil = sK60 )
| ( hd(app(sK60,iPr_def_10)) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_173031,c_179264]) ).
tcf(c_181568,plain,
( ( nil = sK60 )
| ( hd(app(sK60,tl(sK60))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_175448,c_179264]) ).
tcf(c_181569,plain,
( ( nil = sK60 )
| ( nil = sK59 )
| ( hd(app(sK60,tl(sK59))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_175843,c_179264]) ).
tcf(c_181570,plain,
( ( nil = sK56 )
| ( nil = sK60 )
| ( hd(app(sK60,tl(sK56))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_175889,c_179264]) ).
tcf(c_181771,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_179265]) ).
tcf(c_181772,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_179265]) ).
tcf(c_181773,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_179265]) ).
tcf(c_181774,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_179265]) ).
tcf(c_181775,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_179265]) ).
tcf(c_181776,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_179265]) ).
tcf(c_181777,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_179265]) ).
tcf(c_181787,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK34(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_179265]) ).
tcf(c_181788,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK33(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_179265]) ).
tcf(c_181789,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK32(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_179265]) ).
tcf(c_181790,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK39(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_179265]) ).
tcf(c_181791,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK38(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_179265]) ).
tcf(c_181792,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK37(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_179265]) ).
tcf(c_181793,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK44(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_179265]) ).
tcf(c_181794,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK43(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_179265]) ).
tcf(c_181795,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK42(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_179265]) ).
tcf(c_181796,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK48(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_179265]) ).
tcf(c_181797,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK47(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_179265]) ).
tcf(c_181798,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_179265]) ).
tcf(c_181799,plain,
( ( nil = sK59 )
| ( hd(app(sK59,nil)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_141,c_179265]) ).
tcf(c_181800,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ( hd(app(sK59,sK49(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_179265]) ).
tcf(c_181801,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ( hd(app(sK59,tl(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_179265]) ).
tcf(c_181802,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ( hd(app(sK59,sK52(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_179265]) ).
tcf(c_181803,plain,
( ( nil = sK59 )
| ( hd(app(sK59,sK60)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_12927,c_179265]) ).
tcf(c_181804,plain,
( ( nil = sK59 )
| ( hd(app(sK59,sK59)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_12926,c_179265]) ).
tcf(c_181805,plain,
( ( nil = sK59 )
| ( hd(app(sK59,sK56)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_12924,c_179265]) ).
tcf(c_181806,plain,
( ( nil = sK59 )
| ( hd(app(sK59,iPr_def_13)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_172540,c_179265]) ).
tcf(c_181807,plain,
( ( nil = sK59 )
| ( hd(app(sK59,iPr_def_11)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_173202,c_179265]) ).
tcf(c_181808,plain,
( ( nil = sK59 )
| ( hd(app(sK59,iPr_def_12)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_173203,c_179265]) ).
tcf(c_181809,plain,
( ( nil = sK59 )
| ( hd(app(sK59,iPr_def_10)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_173031,c_179265]) ).
tcf(c_181810,plain,
( ( nil = sK60 )
| ( nil = sK59 )
| ( hd(app(sK59,tl(sK60))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_175448,c_179265]) ).
tcf(c_181811,plain,
( ( nil = sK59 )
| ( hd(app(sK59,tl(sK59))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_175843,c_179265]) ).
tcf(c_181812,plain,
( ( nil = sK56 )
| ( nil = sK59 )
| ( hd(app(sK59,tl(sK56))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_175889,c_179265]) ).
tcf(c_181813,plain,
( ( nil = sK59 )
| ( hd(sK59) = hd(iPr_def_11) ) ),
inference(light_normalisation,[status(thm)],[c_181809,c_12918]) ).
tcf(c_182140,plain,
tl(iPr_def_13) = sK52(iPr_def_13),
inference(global_subsumption_just,[status(thm)],[c_175108,c_18473,c_21048]) ).
tcf(c_182142,plain,
( ssList(tl(iPr_def_13))
| ( nil = iPr_def_13 )
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_182140,c_221]) ).
tcf(c_182143,plain,
ssList(tl(iPr_def_13)),
inference(forward_subsumption_resolution,[status(thm)],[c_182142,c_177327,c_172540]) ).
tcf(c_182204,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_182205,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_182206,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_182213,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_182214,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_182215,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_182216,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_182217,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_182218,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_182219,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_182220,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_182221,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_182222,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_182223,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_182224,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(X1,X0)) = app(cons(sK57,X1),X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12925,c_154]) ).
tcf(c_182225,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( cons(hd(sK60),app(X1,X0)) = app(cons(hd(sK60),X1),X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175353,c_154]) ).
tcf(c_182226,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_175385,c_154]) ).
tcf(c_182227,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_175417,c_154]) ).
tcf(c_182228,plain,
! [X0: $i,X1: $i] :
( ( cons(hd(iPr_def_13),app(X1,X0)) = app(cons(hd(iPr_def_13),X1),X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_179676,c_154]) ).
tcf(c_182229,plain,
! [X0: $i,X1: $i] :
( ( cons(hd(iPr_def_11),app(X1,X0)) = app(cons(hd(iPr_def_11),X1),X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_180254,c_154]) ).
tcf(c_182230,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_180623,c_154]) ).
tcf(c_182385,plain,
( ( nil = sK59 )
| ( hd(app(sK59,tl(iPr_def_13))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_182143,c_179265]) ).
tcf(c_182386,plain,
( ( nil = sK60 )
| ( hd(app(sK60,tl(iPr_def_13))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_182143,c_179264]) ).
tcf(c_182387,plain,
! [X0: $i] :
( ( tl(iPr_def_13) = nil )
| ( app(tl(tl(iPr_def_13)),X0) = tl(app(tl(iPr_def_13),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_182143,c_234]) ).
tcf(c_182388,plain,
( equalelemsP(tl(iPr_def_13))
| ( app(sK47(tl(iPr_def_13)),cons(sK45(tl(iPr_def_13)),cons(sK46(tl(iPr_def_13)),sK48(tl(iPr_def_13))))) = tl(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_182143,c_132]) ).
tcf(c_182389,plain,
! [X0: $i] :
( ( tl(iPr_def_13) = nil )
| ( hd(app(tl(iPr_def_13),X0)) = hd(tl(iPr_def_13)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_182143,c_233]) ).
tcf(c_182390,plain,
( ( tl(iPr_def_13) = nil )
| ( cons(hd(tl(iPr_def_13)),tl(tl(iPr_def_13))) = tl(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_182143,c_224]) ).
tcf(c_182391,plain,
( ( tl(iPr_def_13) = nil )
| ( cons(sK50(tl(iPr_def_13)),sK49(tl(iPr_def_13))) = tl(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_182143,c_147]) ).
tcf(c_182392,plain,
( ( tl(iPr_def_13) = nil )
| ( tl(tl(iPr_def_13)) = sK52(tl(iPr_def_13)) ) ),
inference(superposition,[status(thm)],[c_182143,c_222]) ).
tcf(c_182393,plain,
( ( tl(iPr_def_13) = nil )
| ( hd(tl(iPr_def_13)) = sK51(tl(iPr_def_13)) ) ),
inference(superposition,[status(thm)],[c_182143,c_220]) ).
tcf(c_182394,plain,
app(nil,cons(sK57,tl(iPr_def_13))) = cons(sK57,tl(iPr_def_13)),
inference(superposition,[status(thm)],[c_182143,c_173594]) ).
tcf(c_182395,plain,
tl(cons(sK57,tl(iPr_def_13))) = tl(iPr_def_13),
inference(superposition,[status(thm)],[c_182143,c_174232]) ).
tcf(c_182396,plain,
hd(cons(sK57,tl(iPr_def_13))) = sK57,
inference(superposition,[status(thm)],[c_182143,c_174111]) ).
tcf(c_182397,plain,
( ( tl(iPr_def_13) = nil )
| ( app(sK49(tl(iPr_def_13)),nil) = sK49(tl(iPr_def_13)) ) ),
inference(superposition,[status(thm)],[c_182143,c_173044]) ).
tcf(c_182398,plain,
( duplicatefreeP(tl(iPr_def_13))
| ( sK40(tl(iPr_def_13)) = sK41(tl(iPr_def_13)) ) ),
inference(superposition,[status(thm)],[c_182143,c_123]) ).
tcf(c_182399,plain,
app(cons(sK57,tl(iPr_def_13)),nil) = cons(sK57,tl(iPr_def_13)),
inference(superposition,[status(thm)],[c_182143,c_173094]) ).
tcf(c_182400,plain,
app(tl(iPr_def_13),nil) = tl(iPr_def_13),
inference(superposition,[status(thm)],[c_182143,c_232]) ).
tcf(c_182401,plain,
app(nil,tl(iPr_def_13)) = tl(iPr_def_13),
inference(superposition,[status(thm)],[c_182143,c_155]) ).
tcf(c_182455,plain,
( rearsegP(iPr_def_13,sK11(iPr_def_13,iPr_def_12))
| ~ ssList(iPr_def_12)
| ~ ssList(sK11(iPr_def_13,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_177507,c_375]) ).
tcf(c_182457,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_177507,c_176]) ).
tcf(c_182458,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssList(iPr_def_12)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_177507,c_165]) ).
tcf(c_182459,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_12))
| ~ rearsegP(sK11(iPr_def_13,iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_177507,c_186]) ).
tcf(c_182460,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssList(iPr_def_12)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_12))
| ~ memberP(sK11(iPr_def_13,iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_177507,c_166]) ).
tcf(c_182461,plain,
( rearsegP(iPr_def_13,sK11(iPr_def_13,iPr_def_12))
| ~ ssList(sK11(iPr_def_13,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_182455,c_173203]) ).
tcf(c_182466,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_12))
| ~ memberP(sK11(iPr_def_13,iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_182460,c_173203]) ).
tcf(c_182471,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_12))
| ~ rearsegP(sK11(iPr_def_13,iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_182459,c_173203]) ).
tcf(c_182479,plain,
( rearsegP(iPr_def_12,sK11(iPr_def_12,iPr_def_11))
| ~ ssList(iPr_def_11)
| ~ ssList(sK11(iPr_def_12,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_177508,c_375]) ).
tcf(c_182481,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_177508,c_176]) ).
tcf(c_182482,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_177508,c_165]) ).
tcf(c_182483,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_11))
| ~ rearsegP(sK11(iPr_def_12,iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_177508,c_186]) ).
tcf(c_182484,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_11))
| ~ memberP(sK11(iPr_def_12,iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_177508,c_166]) ).
tcf(c_182485,plain,
( rearsegP(iPr_def_12,sK11(iPr_def_12,iPr_def_11))
| ~ ssList(sK11(iPr_def_12,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_182479,c_173202]) ).
tcf(c_182490,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_11))
| ~ memberP(sK11(iPr_def_12,iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_182484,c_173202]) ).
tcf(c_182495,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_11))
| ~ rearsegP(sK11(iPr_def_12,iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_182483,c_173202]) ).
tcf(c_182502,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_177546,c_378]) ).
tcf(c_182505,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_177546,c_176]) ).
tcf(c_182506,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_177546,c_165]) ).
tcf(c_182509,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_182502,c_173203]) ).
tcf(c_182512,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_182506,c_173203]) ).
tcf(c_182517,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_182505,c_173203]) ).
tcf(c_182639,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_179266]) ).
tcf(c_182640,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_179266]) ).
tcf(c_182641,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_179266]) ).
tcf(c_182642,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_179266]) ).
tcf(c_182643,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_179266]) ).
tcf(c_182644,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_179266]) ).
tcf(c_182645,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_179266]) ).
tcf(c_182655,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK34(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_179266]) ).
tcf(c_182656,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK33(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_179266]) ).
tcf(c_182657,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK32(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_179266]) ).
tcf(c_182658,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK39(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_179266]) ).
tcf(c_182659,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK38(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_179266]) ).
tcf(c_182660,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK37(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_179266]) ).
tcf(c_182661,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK44(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_179266]) ).
tcf(c_182662,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK43(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_179266]) ).
tcf(c_182663,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK42(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_179266]) ).
tcf(c_182664,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK48(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_179266]) ).
tcf(c_182665,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK47(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_179266]) ).
tcf(c_182666,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_179266]) ).
tcf(c_182667,plain,
( ( nil = sK56 )
| ( hd(app(sK56,nil)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_141,c_179266]) ).
tcf(c_182668,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( hd(app(sK56,sK49(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_179266]) ).
tcf(c_182669,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( hd(app(sK56,tl(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_179266]) ).
tcf(c_182670,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( hd(app(sK56,sK52(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_179266]) ).
tcf(c_182671,plain,
( ( nil = sK56 )
| ( hd(app(sK56,sK60)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_12927,c_179266]) ).
tcf(c_182672,plain,
( ( nil = sK56 )
| ( hd(app(sK56,sK59)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_12926,c_179266]) ).
tcf(c_182673,plain,
( ( nil = sK56 )
| ( hd(app(sK56,sK56)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_12924,c_179266]) ).
tcf(c_182674,plain,
( ( nil = sK56 )
| ( hd(app(sK56,iPr_def_13)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_172540,c_179266]) ).
tcf(c_182675,plain,
( ( nil = sK56 )
| ( hd(app(sK56,iPr_def_11)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_173202,c_179266]) ).
tcf(c_182676,plain,
( ( nil = sK56 )
| ( hd(app(sK56,iPr_def_12)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_173203,c_179266]) ).
tcf(c_182677,plain,
( ( nil = sK56 )
| ( hd(app(sK56,iPr_def_10)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_173031,c_179266]) ).
tcf(c_182678,plain,
( ( nil = sK56 )
| ( nil = sK60 )
| ( hd(app(sK56,tl(sK60))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_175448,c_179266]) ).
tcf(c_182679,plain,
( ( nil = sK56 )
| ( nil = sK59 )
| ( hd(app(sK56,tl(sK59))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_175843,c_179266]) ).
tcf(c_182680,plain,
( ( nil = sK56 )
| ( hd(app(sK56,tl(sK56))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_175889,c_179266]) ).
tcf(c_182681,plain,
( ( nil = sK56 )
| ( hd(app(sK56,tl(iPr_def_13))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_182143,c_179266]) ).
tcf(c_182932,plain,
sK11(sK56,sK56) = nil,
inference(global_subsumption_just,[status(thm)],[c_177713,c_73889]) ).
tcf(c_182937,plain,
tl(iPr_def_11) = sK52(iPr_def_11),
inference(global_subsumption_just,[status(thm)],[c_175109,c_18474,c_20882]) ).
tcf(c_182939,plain,
( ssList(tl(iPr_def_11))
| ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_182937,c_221]) ).
tcf(c_182940,plain,
ssList(tl(iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_182939,c_177324,c_173202]) ).
tcf(c_182953,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_182959,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| memberP(sK59,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_12918,c_167]) ).
tcf(c_182960,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| memberP(iPr_def_10,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_12919,c_167]) ).
tcf(c_182961,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| memberP(sK60,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_12920,c_167]) ).
tcf(c_182997,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK11(iPr_def_11,sK59),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0)
| ~ ssList(sK11(iPr_def_11,sK59)) ),
inference(superposition,[status(thm)],[c_177509,c_167]) ).
tcf(c_182998,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| memberP(sK11(iPr_def_12,iPr_def_11),X0)
| ~ ssList(iPr_def_11)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_177508,c_167]) ).
tcf(c_182999,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| memberP(sK11(iPr_def_13,iPr_def_12),X0)
| ~ ssList(iPr_def_12)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_177507,c_167]) ).
tcf(c_183000,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_177506,c_167]) ).
tcf(c_183001,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK11(sK60,nil),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(sK11(sK60,nil)) ),
inference(superposition,[status(thm)],[c_177505,c_167]) ).
tcf(c_183002,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_177504,c_167]) ).
tcf(c_183003,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_177503,c_167]) ).
tcf(c_183004,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK11(iPr_def_13,nil),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0)
| ~ ssList(sK11(iPr_def_13,nil)) ),
inference(superposition,[status(thm)],[c_177502,c_167]) ).
tcf(c_183010,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_177501,c_167]) ).
tcf(c_183012,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_177500,c_167]) ).
tcf(c_183013,plain,
! [X0: $i] :
( memberP(sK60,X0)
| memberP(sK12(iPr_def_13,sK60),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0)
| ~ ssList(sK12(iPr_def_13,sK60)) ),
inference(superposition,[status(thm)],[c_177563,c_167]) ).
tcf(c_183017,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK12(sK60,nil),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(sK12(sK60,nil)) ),
inference(superposition,[status(thm)],[c_177562,c_167]) ).
tcf(c_183018,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_177561,c_167]) ).
tcf(c_183019,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_177560,c_167]) ).
tcf(c_183021,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| memberP(sK60,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_182961,c_173203,c_12927]) ).
tcf(c_183026,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_182960,c_173202,c_173031]) ).
tcf(c_183031,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| memberP(sK59,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_182959,c_173031,c_12926]) ).
tcf(c_183036,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_183019,c_141]) ).
tcf(c_183042,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_183018,c_141]) ).
tcf(c_183048,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK12(sK60,nil),X0)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(sK12(sK60,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183017,c_141]) ).
tcf(c_183054,plain,
! [X0: $i] :
( memberP(sK60,X0)
| memberP(sK12(iPr_def_13,sK60),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0)
| ~ ssList(sK12(iPr_def_13,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183013,c_12927]) ).
tcf(c_183060,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_183012,c_141]) ).
tcf(c_183066,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_183010,c_141]) ).
tcf(c_183072,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK11(iPr_def_13,nil),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0)
| ~ ssList(sK11(iPr_def_13,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183004,c_141]) ).
tcf(c_183078,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_183003,c_141]) ).
tcf(c_183084,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_183002,c_141]) ).
tcf(c_183090,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK11(sK60,nil),X0)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(sK11(sK60,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183001,c_141]) ).
tcf(c_183096,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_183000,c_141]) ).
tcf(c_183102,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| memberP(sK11(iPr_def_13,iPr_def_12),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_182999,c_173203]) ).
tcf(c_183108,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| memberP(sK11(iPr_def_12,iPr_def_11),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_182998,c_173202]) ).
tcf(c_183114,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK11(iPr_def_11,sK59),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0)
| ~ ssList(sK11(iPr_def_11,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_182997,c_12926]) ).
tcf(c_183135,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_183136,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_183137,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_183138,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_183139,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_183140,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_183141,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_183151,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_183152,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_183153,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_183154,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_183155,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_183156,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_183157,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_183158,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_183159,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_183160,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_183161,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_183162,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_183163,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_183164,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_183165,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_183166,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_183167,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),sK60) = app(X0,app(X1,sK60)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12927,c_228]) ).
tcf(c_183168,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),sK59) = app(X0,app(X1,sK59)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12926,c_228]) ).
tcf(c_183169,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),sK56) = app(X0,app(X1,sK56)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12924,c_228]) ).
tcf(c_183170,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),iPr_def_13) = app(X0,app(X1,iPr_def_13)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_172540,c_228]) ).
tcf(c_183171,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_173202,c_228]) ).
tcf(c_183172,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_173203,c_228]) ).
tcf(c_183173,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_173031,c_228]) ).
tcf(c_183174,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( app(app(X0,X1),tl(sK60)) = app(X0,app(X1,tl(sK60))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175448,c_228]) ).
tcf(c_183175,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_175843,c_228]) ).
tcf(c_183176,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_175889,c_228]) ).
tcf(c_183177,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),tl(iPr_def_13)) = app(X0,app(X1,tl(iPr_def_13))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_182143,c_228]) ).
tcf(c_183592,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_183593,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_183594,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_183595,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_183596,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_183597,plain,
! [X0: $i] :
( ( app(sK8(app(X0,iPr_def_10),sK57),cons(sK57,sK9(app(X0,iPr_def_10),sK57))) = app(X0,iPr_def_10) )
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_172674,c_57]) ).
tcf(c_183598,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_172720,c_57]) ).
tcf(c_183599,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_172722,c_57]) ).
tcf(c_183600,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_173062,c_57]) ).
tcf(c_183601,plain,
( ( app(sK8(cons(sK57,sK60),sK57),cons(sK57,sK9(cons(sK57,sK60),sK57))) = cons(sK57,sK60) )
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_174868,c_57]) ).
tcf(c_183602,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_174870,c_57]) ).
tcf(c_183603,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_175346,c_57]) ).
tcf(c_183604,plain,
( ( app(sK8(iPr_def_13,sK10(iPr_def_13)),cons(sK10(iPr_def_13),sK9(iPr_def_13,sK10(iPr_def_13)))) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssItem(sK10(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_175788,c_57]) ).
tcf(c_183605,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_178173,c_57]) ).
tcf(c_183606,plain,
( ( app(sK8(cons(sK57,iPr_def_13),sK57),cons(sK57,sK9(cons(sK57,iPr_def_13),sK57))) = cons(sK57,iPr_def_13) )
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_178329,c_57]) ).
tcf(c_183607,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_179657,c_57]) ).
tcf(c_183608,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_180231,c_57]) ).
tcf(c_183609,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_181468,c_57]) ).
tcf(c_183610,plain,
( ( app(sK8(iPr_def_13,sK57),cons(sK57,sK9(iPr_def_13,sK57))) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_179666,c_57]) ).
tcf(c_183611,plain,
app(sK8(iPr_def_13,sK57),cons(sK57,sK9(iPr_def_13,sK57))) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_183610,c_172540,c_12925]) ).
tcf(c_183612,plain,
app(sK8(iPr_def_10,sK57),cons(sK57,sK9(iPr_def_10,sK57))) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_183600,c_173031,c_12925]) ).
tcf(c_183613,plain,
app(sK8(iPr_def_12,sK57),cons(sK57,sK9(iPr_def_12,sK57))) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_183599,c_173203,c_12925]) ).
tcf(c_183614,plain,
app(sK8(iPr_def_11,sK57),cons(sK57,sK9(iPr_def_11,sK57))) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_183598,c_173202,c_12925]) ).
tcf(c_183615,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_183605,c_173031]) ).
tcf(c_183618,plain,
( ( app(sK8(iPr_def_13,sK10(iPr_def_13)),cons(sK10(iPr_def_13),sK9(iPr_def_13,sK10(iPr_def_13)))) = iPr_def_13 )
| ~ ssItem(sK10(iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183604,c_172540]) ).
tcf(c_183621,plain,
( ( app(sK8(cons(sK57,iPr_def_10),sK57),cons(sK57,sK9(cons(sK57,iPr_def_10),sK57))) = cons(sK57,iPr_def_10) )
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183609,c_12925]) ).
tcf(c_183624,plain,
( ( app(sK8(cons(sK57,iPr_def_12),sK57),cons(sK57,sK9(cons(sK57,iPr_def_12),sK57))) = cons(sK57,iPr_def_12) )
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183608,c_12925]) ).
tcf(c_183627,plain,
( ( app(sK8(cons(sK57,iPr_def_11),sK57),cons(sK57,sK9(cons(sK57,iPr_def_11),sK57))) = cons(sK57,iPr_def_11) )
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183607,c_12925]) ).
tcf(c_183630,plain,
( ( app(sK8(cons(sK57,iPr_def_13),sK57),cons(sK57,sK9(cons(sK57,iPr_def_13),sK57))) = cons(sK57,iPr_def_13) )
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183606,c_12925]) ).
tcf(c_183633,plain,
( ( app(sK8(cons(sK57,sK56),sK57),cons(sK57,sK9(cons(sK57,sK56),sK57))) = cons(sK57,sK56) )
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183603,c_12925]) ).
tcf(c_183636,plain,
( ( app(sK8(cons(sK57,sK59),sK57),cons(sK57,sK9(cons(sK57,sK59),sK57))) = cons(sK57,sK59) )
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183602,c_12925]) ).
tcf(c_183639,plain,
( ( app(sK8(cons(sK57,sK60),sK57),cons(sK57,sK9(cons(sK57,sK60),sK57))) = cons(sK57,sK60) )
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183601,c_12925]) ).
tcf(c_183642,plain,
! [X0: $i] :
( ( app(sK8(app(X0,iPr_def_10),sK57),cons(sK57,sK9(app(X0,iPr_def_10),sK57))) = app(X0,iPr_def_10) )
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183597,c_12925]) ).
tcf(c_183711,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_183712,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_183713,plain,
( ( app(app(sK13(nil,nil),nil),sK14(nil,nil)) = nil )
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_363,c_70]) ).
tcf(c_183714,plain,
app(app(sK13(nil,nil),nil),sK14(nil,nil)) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_183713,c_141]) ).
tcf(c_183717,plain,
! [X0: $i] :
( ( app(app(sK13(X0,nil),nil),sK14(X0,nil)) = X0 )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183712,c_141]) ).
tcf(c_183720,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),tl(iPr_def_11)) = app(X0,app(X1,tl(iPr_def_11))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_182940,c_228]) ).
tcf(c_183721,plain,
( ( nil = sK56 )
| ( hd(app(sK56,tl(iPr_def_11))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_182940,c_179266]) ).
tcf(c_183722,plain,
( ( nil = sK59 )
| ( hd(app(sK59,tl(iPr_def_11))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_182940,c_179265]) ).
tcf(c_183723,plain,
( ( nil = sK60 )
| ( hd(app(sK60,tl(iPr_def_11))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_182940,c_179264]) ).
tcf(c_183724,plain,
! [X0: $i] :
( ( tl(iPr_def_11) = nil )
| ( app(tl(tl(iPr_def_11)),X0) = tl(app(tl(iPr_def_11),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_182940,c_234]) ).
tcf(c_183725,plain,
( equalelemsP(tl(iPr_def_11))
| ( app(sK47(tl(iPr_def_11)),cons(sK45(tl(iPr_def_11)),cons(sK46(tl(iPr_def_11)),sK48(tl(iPr_def_11))))) = tl(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_182940,c_132]) ).
tcf(c_183726,plain,
! [X0: $i] :
( ( tl(iPr_def_11) = nil )
| ( hd(app(tl(iPr_def_11),X0)) = hd(tl(iPr_def_11)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_182940,c_233]) ).
tcf(c_183727,plain,
( ( tl(iPr_def_11) = nil )
| ( cons(hd(tl(iPr_def_11)),tl(tl(iPr_def_11))) = tl(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_182940,c_224]) ).
tcf(c_183728,plain,
( ( tl(iPr_def_11) = nil )
| ( cons(sK50(tl(iPr_def_11)),sK49(tl(iPr_def_11))) = tl(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_182940,c_147]) ).
tcf(c_183729,plain,
( ( tl(iPr_def_11) = nil )
| ( tl(tl(iPr_def_11)) = sK52(tl(iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_182940,c_222]) ).
tcf(c_183730,plain,
( ( tl(iPr_def_11) = nil )
| ( hd(tl(iPr_def_11)) = sK51(tl(iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_182940,c_220]) ).
tcf(c_183731,plain,
app(nil,cons(sK57,tl(iPr_def_11))) = cons(sK57,tl(iPr_def_11)),
inference(superposition,[status(thm)],[c_182940,c_173594]) ).
tcf(c_183732,plain,
tl(cons(sK57,tl(iPr_def_11))) = tl(iPr_def_11),
inference(superposition,[status(thm)],[c_182940,c_174232]) ).
tcf(c_183733,plain,
hd(cons(sK57,tl(iPr_def_11))) = sK57,
inference(superposition,[status(thm)],[c_182940,c_174111]) ).
tcf(c_183734,plain,
( ( tl(iPr_def_11) = nil )
| ( app(sK49(tl(iPr_def_11)),nil) = sK49(tl(iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_182940,c_173044]) ).
tcf(c_183735,plain,
( duplicatefreeP(tl(iPr_def_11))
| ( sK40(tl(iPr_def_11)) = sK41(tl(iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_182940,c_123]) ).
tcf(c_183736,plain,
app(cons(sK57,tl(iPr_def_11)),nil) = cons(sK57,tl(iPr_def_11)),
inference(superposition,[status(thm)],[c_182940,c_173094]) ).
tcf(c_183737,plain,
app(tl(iPr_def_11),nil) = tl(iPr_def_11),
inference(superposition,[status(thm)],[c_182940,c_232]) ).
tcf(c_183738,plain,
app(nil,tl(iPr_def_11)) = tl(iPr_def_11),
inference(superposition,[status(thm)],[c_182940,c_155]) ).
tcf(c_183781,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_177547,c_378]) ).
tcf(c_183784,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_177547,c_176]) ).
tcf(c_183785,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_177547,c_165]) ).
tcf(c_183788,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_183781,c_173202]) ).
tcf(c_183791,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_183785,c_173202]) ).
tcf(c_183796,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_183784,c_173202]) ).
tcf(c_183804,plain,
( frontsegP(iPr_def_13,sK12(iPr_def_13,iPr_def_13))
| ~ ssList(iPr_def_13)
| ~ ssList(sK12(iPr_def_13,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_177548,c_378]) ).
tcf(c_183807,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,iPr_def_13))
| ~ frontsegP(sK12(iPr_def_13,iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_177548,c_176]) ).
tcf(c_183808,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssItem(X0)
| ~ ssList(sK12(iPr_def_13,iPr_def_13))
| ~ memberP(sK12(iPr_def_13,iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_177548,c_165]) ).
tcf(c_183811,plain,
( frontsegP(iPr_def_13,sK12(iPr_def_13,iPr_def_13))
| ~ ssList(sK12(iPr_def_13,iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183804,c_172540]) ).
tcf(c_183814,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(iPr_def_13,iPr_def_13))
| ~ memberP(sK12(iPr_def_13,iPr_def_13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183808,c_172540]) ).
tcf(c_183819,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,iPr_def_13))
| ~ frontsegP(sK12(iPr_def_13,iPr_def_13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183807,c_172540]) ).
tcf(c_183827,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_177552,c_378]) ).
tcf(c_183830,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_177552,c_176]) ).
tcf(c_183831,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_177552,c_165]) ).
tcf(c_183835,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_183827,c_173031]) ).
tcf(c_183838,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_183831,c_173031]) ).
tcf(c_183843,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_183830,c_173031]) ).
tcf(c_183849,plain,
! [X0: $i] :
( memberP(sK8(iPr_def_13,sK57),X0)
| memberP(cons(sK57,sK9(iPr_def_13,sK57)),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0)
| ~ ssList(sK8(iPr_def_13,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_13,sK57))) ),
inference(superposition,[status(thm)],[c_183611,c_167]) ).
tcf(c_183852,plain,
( frontsegP(iPr_def_13,sK8(iPr_def_13,sK57))
| ~ ssList(sK8(iPr_def_13,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_13,sK57))) ),
inference(superposition,[status(thm)],[c_183611,c_378]) ).
tcf(c_183853,plain,
( rearsegP(iPr_def_13,cons(sK57,sK9(iPr_def_13,sK57)))
| ~ ssList(sK8(iPr_def_13,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_13,sK57))) ),
inference(superposition,[status(thm)],[c_183611,c_375]) ).
tcf(c_183855,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_13,sK57))
| ~ frontsegP(sK8(iPr_def_13,sK57),X0)
| ~ ssList(cons(sK57,sK9(iPr_def_13,sK57))) ),
inference(superposition,[status(thm)],[c_183611,c_176]) ).
tcf(c_183856,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ ssList(sK8(iPr_def_13,sK57))
| ~ memberP(sK8(iPr_def_13,sK57),X0)
| ~ ssList(cons(sK57,sK9(iPr_def_13,sK57))) ),
inference(superposition,[status(thm)],[c_183611,c_165]) ).
tcf(c_183857,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_13,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_13,sK57)))
| ~ rearsegP(cons(sK57,sK9(iPr_def_13,sK57)),X0) ),
inference(superposition,[status(thm)],[c_183611,c_186]) ).
tcf(c_183858,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ ssList(sK8(iPr_def_13,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_13,sK57)))
| ~ memberP(cons(sK57,sK9(iPr_def_13,sK57)),X0) ),
inference(superposition,[status(thm)],[c_183611,c_166]) ).
tcf(c_183896,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_183612,c_167]) ).
tcf(c_183899,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_183612,c_378]) ).
tcf(c_183900,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_183612,c_375]) ).
tcf(c_183902,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_183612,c_176]) ).
tcf(c_183903,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_183612,c_165]) ).
tcf(c_183904,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_183612,c_186]) ).
tcf(c_183905,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_183612,c_166]) ).
tcf(c_183952,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_183613,c_167]) ).
tcf(c_183955,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_183613,c_378]) ).
tcf(c_183956,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_183613,c_375]) ).
tcf(c_183958,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_183613,c_176]) ).
tcf(c_183959,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_183613,c_165]) ).
tcf(c_183960,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_183613,c_186]) ).
tcf(c_183961,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_183613,c_166]) ).
tcf(c_184058,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_183614,c_167]) ).
tcf(c_184061,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_183614,c_378]) ).
tcf(c_184062,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_183614,c_375]) ).
tcf(c_184064,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_183614,c_176]) ).
tcf(c_184065,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_183614,c_165]) ).
tcf(c_184066,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_183614,c_186]) ).
tcf(c_184067,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_183614,c_166]) ).
tcf(c_184108,plain,
( memberP(iPr_def_12,sK10(iPr_def_13))
| memberP(sK60,sK10(iPr_def_13))
| ~ ssItem(sK10(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_175788,c_183021]) ).
tcf(c_184122,plain,
sK11(sK59,sK59) = nil,
inference(global_subsumption_just,[status(thm)],[c_177725,c_78576]) ).
tcf(c_184127,plain,
sK11(sK60,sK60) = nil,
inference(global_subsumption_just,[status(thm)],[c_177737,c_83696]) ).
tcf(c_184132,plain,
tl(iPr_def_12) = sK52(iPr_def_12),
inference(global_subsumption_just,[status(thm)],[c_175110,c_18475,c_20881]) ).
tcf(c_184134,plain,
( ssList(tl(iPr_def_12))
| ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_184132,c_221]) ).
tcf(c_184135,plain,
ssList(tl(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_184134,c_177323,c_173203]) ).
tcf(c_184142,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_184143,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_184144,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_184145,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_184146,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_184147,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_184148,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_184158,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_184159,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_184160,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_184161,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_184162,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_184163,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_184164,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_184165,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_184166,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_184167,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_184168,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_184169,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_184171,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_184172,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_184173,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_184174,plain,
( totalorderedP(sK60)
| ( app(app(sK32(sK60),cons(sK30(sK60),sK33(sK60))),cons(sK31(sK60),sK34(sK60))) = sK60 ) ),
inference(superposition,[status(thm)],[c_12927,c_108]) ).
tcf(c_184175,plain,
( totalorderedP(sK59)
| ( app(app(sK32(sK59),cons(sK30(sK59),sK33(sK59))),cons(sK31(sK59),sK34(sK59))) = sK59 ) ),
inference(superposition,[status(thm)],[c_12926,c_108]) ).
tcf(c_184176,plain,
( totalorderedP(sK56)
| ( app(app(sK32(sK56),cons(sK30(sK56),sK33(sK56))),cons(sK31(sK56),sK34(sK56))) = sK56 ) ),
inference(superposition,[status(thm)],[c_12924,c_108]) ).
tcf(c_184178,plain,
( totalorderedP(iPr_def_11)
| ( app(app(sK32(iPr_def_11),cons(sK30(iPr_def_11),sK33(iPr_def_11))),cons(sK31(iPr_def_11),sK34(iPr_def_11))) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_173202,c_108]) ).
tcf(c_184179,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_173203,c_108]) ).
tcf(c_184181,plain,
( totalorderedP(tl(sK60))
| ( nil = sK60 )
| ( app(app(sK32(tl(sK60)),cons(sK30(tl(sK60)),sK33(tl(sK60)))),cons(sK31(tl(sK60)),sK34(tl(sK60)))) = tl(sK60) ) ),
inference(superposition,[status(thm)],[c_175448,c_108]) ).
tcf(c_184182,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_175843,c_108]) ).
tcf(c_184183,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_175889,c_108]) ).
tcf(c_184184,plain,
( totalorderedP(tl(iPr_def_13))
| ( app(app(sK32(tl(iPr_def_13)),cons(sK30(tl(iPr_def_13)),sK33(tl(iPr_def_13)))),cons(sK31(tl(iPr_def_13)),sK34(tl(iPr_def_13)))) = tl(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_182143,c_108]) ).
tcf(c_184185,plain,
( totalorderedP(tl(iPr_def_11))
| ( app(app(sK32(tl(iPr_def_11)),cons(sK30(tl(iPr_def_11)),sK33(tl(iPr_def_11)))),cons(sK31(tl(iPr_def_11)),sK34(tl(iPr_def_11)))) = tl(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_182940,c_108]) ).
tcf(c_184802,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_184803,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_184804,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_184805,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_184806,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_184807,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_184808,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_184818,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_184819,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_184820,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_184821,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_184822,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_184823,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_184824,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_184825,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_184826,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_184827,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_184828,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_184829,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_184831,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_184832,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_184833,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_184834,plain,
( strictorderedP(sK60)
| ( app(app(sK37(sK60),cons(sK35(sK60),sK38(sK60))),cons(sK36(sK60),sK39(sK60))) = sK60 ) ),
inference(superposition,[status(thm)],[c_12927,c_116]) ).
tcf(c_184835,plain,
( strictorderedP(sK59)
| ( app(app(sK37(sK59),cons(sK35(sK59),sK38(sK59))),cons(sK36(sK59),sK39(sK59))) = sK59 ) ),
inference(superposition,[status(thm)],[c_12926,c_116]) ).
tcf(c_184836,plain,
( strictorderedP(sK56)
| ( app(app(sK37(sK56),cons(sK35(sK56),sK38(sK56))),cons(sK36(sK56),sK39(sK56))) = sK56 ) ),
inference(superposition,[status(thm)],[c_12924,c_116]) ).
tcf(c_184838,plain,
( strictorderedP(iPr_def_11)
| ( app(app(sK37(iPr_def_11),cons(sK35(iPr_def_11),sK38(iPr_def_11))),cons(sK36(iPr_def_11),sK39(iPr_def_11))) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_173202,c_116]) ).
tcf(c_184839,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_173203,c_116]) ).
tcf(c_184841,plain,
( strictorderedP(tl(sK60))
| ( nil = sK60 )
| ( app(app(sK37(tl(sK60)),cons(sK35(tl(sK60)),sK38(tl(sK60)))),cons(sK36(tl(sK60)),sK39(tl(sK60)))) = tl(sK60) ) ),
inference(superposition,[status(thm)],[c_175448,c_116]) ).
tcf(c_184842,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_175843,c_116]) ).
tcf(c_184843,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_175889,c_116]) ).
tcf(c_184844,plain,
( strictorderedP(tl(iPr_def_13))
| ( app(app(sK37(tl(iPr_def_13)),cons(sK35(tl(iPr_def_13)),sK38(tl(iPr_def_13)))),cons(sK36(tl(iPr_def_13)),sK39(tl(iPr_def_13)))) = tl(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_182143,c_116]) ).
tcf(c_184845,plain,
( strictorderedP(tl(iPr_def_11))
| ( app(app(sK37(tl(iPr_def_11)),cons(sK35(tl(iPr_def_11)),sK38(tl(iPr_def_11)))),cons(sK36(tl(iPr_def_11)),sK39(tl(iPr_def_11)))) = tl(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_182940,c_116]) ).
tcf(c_185024,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_185025,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_185026,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_185027,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_185028,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_185029,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_185030,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_185040,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_185041,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_185042,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_185043,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_185044,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_185045,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_185046,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_185047,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_185048,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_185049,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_185050,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_185051,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_185053,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_185054,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_185055,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_185056,plain,
( duplicatefreeP(sK60)
| ( app(app(sK42(sK60),cons(sK40(sK60),sK43(sK60))),cons(sK41(sK60),sK44(sK60))) = sK60 ) ),
inference(superposition,[status(thm)],[c_12927,c_124]) ).
tcf(c_185057,plain,
( duplicatefreeP(sK59)
| ( app(app(sK42(sK59),cons(sK40(sK59),sK43(sK59))),cons(sK41(sK59),sK44(sK59))) = sK59 ) ),
inference(superposition,[status(thm)],[c_12926,c_124]) ).
tcf(c_185058,plain,
( duplicatefreeP(sK56)
| ( app(app(sK42(sK56),cons(sK40(sK56),sK43(sK56))),cons(sK41(sK56),sK44(sK56))) = sK56 ) ),
inference(superposition,[status(thm)],[c_12924,c_124]) ).
tcf(c_185060,plain,
( duplicatefreeP(iPr_def_11)
| ( app(app(sK42(iPr_def_11),cons(sK40(iPr_def_11),sK43(iPr_def_11))),cons(sK41(iPr_def_11),sK44(iPr_def_11))) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_173202,c_124]) ).
tcf(c_185061,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_173203,c_124]) ).
tcf(c_185063,plain,
( duplicatefreeP(tl(sK60))
| ( nil = sK60 )
| ( app(app(sK42(tl(sK60)),cons(sK40(tl(sK60)),sK43(tl(sK60)))),cons(sK41(tl(sK60)),sK44(tl(sK60)))) = tl(sK60) ) ),
inference(superposition,[status(thm)],[c_175448,c_124]) ).
tcf(c_185064,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_175843,c_124]) ).
tcf(c_185065,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_175889,c_124]) ).
tcf(c_185066,plain,
( duplicatefreeP(tl(iPr_def_13))
| ( app(app(sK42(tl(iPr_def_13)),cons(sK40(tl(iPr_def_13)),sK43(tl(iPr_def_13)))),cons(sK41(tl(iPr_def_13)),sK44(tl(iPr_def_13)))) = tl(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_182143,c_124]) ).
tcf(c_185067,plain,
( duplicatefreeP(tl(iPr_def_11))
| ( app(app(sK42(tl(iPr_def_11)),cons(sK40(tl(iPr_def_11)),sK43(tl(iPr_def_11)))),cons(sK41(tl(iPr_def_11)),sK44(tl(iPr_def_11)))) = tl(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_182940,c_124]) ).
tcf(c_185314,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( X0 = sK57 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_12917,c_170]) ).
tcf(c_185315,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( sK10(iPr_def_13) = X0 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_13))
| ~ memberP(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_174042,c_170]) ).
tcf(c_185316,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_174048,c_170]) ).
tcf(c_185317,plain,
! [X0: $i] :
( memberP(sK49(sK60),X0)
| ( nil = sK60 )
| ( sK50(sK60) = X0 )
| ~ ssItem(X0)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ~ memberP(sK60,X0) ),
inference(superposition,[status(thm)],[c_176051,c_170]) ).
tcf(c_185318,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_176052,c_170]) ).
tcf(c_185319,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_176053,c_170]) ).
tcf(c_185320,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_176061,c_170]) ).
tcf(c_185321,plain,
! [X0: $i] :
( memberP(tl(sK60),X0)
| ( nil = sK60 )
| ( hd(sK60) = X0 )
| ~ ssItem(X0)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ~ memberP(sK60,X0) ),
inference(superposition,[status(thm)],[c_176242,c_170]) ).
tcf(c_185322,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_176243,c_170]) ).
tcf(c_185323,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_176244,c_170]) ).
tcf(c_185324,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( X0 = sK57 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185314,c_141,c_12925]) ).
tcf(c_185329,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_185316,c_141]) ).
tcf(c_185335,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( sK10(iPr_def_13) = X0 )
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_13))
| ~ memberP(iPr_def_13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185315,c_141]) ).
tcf(c_185419,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_184135,c_228]) ).
tcf(c_185420,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_184135,c_124]) ).
tcf(c_185421,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_184135,c_116]) ).
tcf(c_185422,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_184135,c_108]) ).
tcf(c_185423,plain,
( ( nil = sK56 )
| ( hd(app(sK56,tl(iPr_def_12))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_184135,c_179266]) ).
tcf(c_185424,plain,
( ( nil = sK59 )
| ( hd(app(sK59,tl(iPr_def_12))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_184135,c_179265]) ).
tcf(c_185425,plain,
( ( nil = sK60 )
| ( hd(app(sK60,tl(iPr_def_12))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_184135,c_179264]) ).
tcf(c_185426,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_184135,c_234]) ).
tcf(c_185427,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_184135,c_132]) ).
tcf(c_185428,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_184135,c_233]) ).
tcf(c_185429,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_184135,c_224]) ).
tcf(c_185430,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_184135,c_147]) ).
tcf(c_185431,plain,
( ( tl(iPr_def_12) = nil )
| ( tl(tl(iPr_def_12)) = sK52(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_184135,c_222]) ).
tcf(c_185432,plain,
( ( tl(iPr_def_12) = nil )
| ( hd(tl(iPr_def_12)) = sK51(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_184135,c_220]) ).
tcf(c_185433,plain,
app(nil,cons(sK57,tl(iPr_def_12))) = cons(sK57,tl(iPr_def_12)),
inference(superposition,[status(thm)],[c_184135,c_173594]) ).
tcf(c_185434,plain,
tl(cons(sK57,tl(iPr_def_12))) = tl(iPr_def_12),
inference(superposition,[status(thm)],[c_184135,c_174232]) ).
tcf(c_185435,plain,
hd(cons(sK57,tl(iPr_def_12))) = sK57,
inference(superposition,[status(thm)],[c_184135,c_174111]) ).
tcf(c_185436,plain,
( ( tl(iPr_def_12) = nil )
| ( app(sK49(tl(iPr_def_12)),nil) = sK49(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_184135,c_173044]) ).
tcf(c_185437,plain,
( duplicatefreeP(tl(iPr_def_12))
| ( sK40(tl(iPr_def_12)) = sK41(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_184135,c_123]) ).
tcf(c_185438,plain,
app(cons(sK57,tl(iPr_def_12)),nil) = cons(sK57,tl(iPr_def_12)),
inference(superposition,[status(thm)],[c_184135,c_173094]) ).
tcf(c_185439,plain,
app(tl(iPr_def_12),nil) = tl(iPr_def_12),
inference(superposition,[status(thm)],[c_184135,c_232]) ).
tcf(c_185440,plain,
app(nil,tl(iPr_def_12)) = tl(iPr_def_12),
inference(superposition,[status(thm)],[c_184135,c_155]) ).
tcf(c_185561,plain,
( ( sK12(nil,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_177553,c_231]) ).
tcf(c_185563,plain,
( frontsegP(nil,sK12(nil,nil))
| ~ ssList(nil)
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_177553,c_378]) ).
tcf(c_185566,plain,
! [X0: $i] :
( frontsegP(nil,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(nil,nil))
| ~ frontsegP(sK12(nil,nil),X0) ),
inference(superposition,[status(thm)],[c_177553,c_176]) ).
tcf(c_185567,plain,
! [X0: $i] :
( memberP(nil,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK12(nil,nil))
| ~ memberP(sK12(nil,nil),X0) ),
inference(superposition,[status(thm)],[c_177553,c_165]) ).
tcf(c_185570,plain,
( frontsegP(nil,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185563,c_141]) ).
tcf(c_185573,plain,
( ( sK12(nil,nil) = nil )
| ~ ssList(sK12(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185561,c_141]) ).
tcf(c_185576,plain,
! [X0: $i] :
( memberP(nil,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(nil,nil))
| ~ memberP(sK12(nil,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185567,c_141]) ).
tcf(c_185581,plain,
! [X0: $i] :
( frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(sK12(nil,nil))
| ~ frontsegP(sK12(nil,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185566,c_141]) ).
tcf(c_185586,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_177556,c_167]) ).
tcf(c_185589,plain,
( frontsegP(iPr_def_12,sK12(iPr_def_12,nil))
| ~ ssList(nil)
| ~ ssList(sK12(iPr_def_12,nil)) ),
inference(superposition,[status(thm)],[c_177556,c_378]) ).
tcf(c_185592,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_177556,c_176]) ).
tcf(c_185593,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_177556,c_165]) ).
tcf(c_185594,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_177556,c_186]) ).
tcf(c_185596,plain,
( frontsegP(iPr_def_12,sK12(iPr_def_12,nil))
| ~ ssList(sK12(iPr_def_12,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185589,c_141]) ).
tcf(c_185600,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_185593,c_141]) ).
tcf(c_185605,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_185592,c_141]) ).
tcf(c_185610,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_185586,c_141]) ).
tcf(c_185616,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_177557,c_167]) ).
tcf(c_185619,plain,
( frontsegP(iPr_def_11,sK12(iPr_def_11,nil))
| ~ ssList(nil)
| ~ ssList(sK12(iPr_def_11,nil)) ),
inference(superposition,[status(thm)],[c_177557,c_378]) ).
tcf(c_185622,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_177557,c_176]) ).
tcf(c_185623,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_177557,c_165]) ).
tcf(c_185624,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_177557,c_186]) ).
tcf(c_185626,plain,
( frontsegP(iPr_def_11,sK12(iPr_def_11,nil))
| ~ ssList(sK12(iPr_def_11,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185619,c_141]) ).
tcf(c_185630,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_185623,c_141]) ).
tcf(c_185635,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_185622,c_141]) ).
tcf(c_185640,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_185616,c_141]) ).
tcf(c_185646,plain,
! [X0: $i] :
( ~ memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ( X0 = sK57 ) ),
inference(global_subsumption_just,[status(thm)],[c_185324,c_29100]) ).
tcf(c_185647,plain,
! [X0: $i] :
( ( X0 = sK57 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(renaming,[status(thm)],[c_185646]) ).
tcf(c_185655,plain,
( ( sK10(iPr_def_10) = sK57 )
| ~ ssItem(sK10(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_178173,c_185647]) ).
tcf(c_185658,plain,
sK12(sK56,sK56) = nil,
inference(global_subsumption_just,[status(thm)],[c_177832,c_83707]) ).
tcf(c_185663,plain,
sK12(sK59,sK59) = nil,
inference(global_subsumption_just,[status(thm)],[c_178214,c_83718]) ).
tcf(c_185668,plain,
sK12(sK60,sK60) = nil,
inference(global_subsumption_just,[status(thm)],[c_178233,c_83729]) ).
tcf(c_185685,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(light_normalisation,[status(thm)],[c_177943,c_185658]) ).
tcf(c_185686,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185685,c_141]) ).
tcf(c_185693,plain,
( ssList(tl(tl(sK60)))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(tl(sK60)) ),
inference(superposition,[status(thm)],[c_175804,c_221]) ).
tcf(c_185710,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_185711,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK57,sK60)))
| ( cons(sK57,sK60) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(cons(sK57,sK60))
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_174357,c_206]) ).
tcf(c_185712,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_174358,c_206]) ).
tcf(c_185713,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_174359,c_206]) ).
tcf(c_185714,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK57,iPr_def_13)))
| ( cons(sK57,iPr_def_13) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(cons(sK57,iPr_def_13))
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_174360,c_206]) ).
tcf(c_185715,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_174361,c_206]) ).
tcf(c_185716,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_174362,c_206]) ).
tcf(c_185717,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_174363,c_206]) ).
tcf(c_185718,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,sK57) ),
inference(superposition,[status(thm)],[c_174364,c_206]) ).
tcf(c_185719,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK60,sK60)))
| ( nil = sK60 )
| ( app(sK60,sK60) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sK60,sK60))
| ~ ssList(app(sK60,sK60))
| ~ leq(X0,hd(sK60)) ),
inference(superposition,[status(thm)],[c_181561,c_206]) ).
tcf(c_185720,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK60,sK59)))
| ( nil = sK60 )
| ( app(sK60,sK59) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sK60,sK59))
| ~ ssList(app(sK60,sK59))
| ~ leq(X0,hd(sK60)) ),
inference(superposition,[status(thm)],[c_181562,c_206]) ).
tcf(c_185721,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK60,sK56)))
| ( nil = sK60 )
| ( app(sK60,sK56) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sK60,sK56))
| ~ ssList(app(sK60,sK56))
| ~ leq(X0,hd(sK60)) ),
inference(superposition,[status(thm)],[c_181563,c_206]) ).
tcf(c_185722,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK59,sK60)))
| ( nil = sK59 )
| ( app(sK59,sK60) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sK59,sK60))
| ~ ssList(app(sK59,sK60))
| ~ leq(X0,hd(sK59)) ),
inference(superposition,[status(thm)],[c_181803,c_206]) ).
tcf(c_185723,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_181804,c_206]) ).
tcf(c_185724,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_181805,c_206]) ).
tcf(c_185725,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK56,sK60)))
| ( nil = sK56 )
| ( app(sK56,sK60) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sK56,sK60))
| ~ ssList(app(sK56,sK60))
| ~ leq(X0,hd(sK56)) ),
inference(superposition,[status(thm)],[c_182671,c_206]) ).
tcf(c_185726,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_182672,c_206]) ).
tcf(c_185727,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_182673,c_206]) ).
tcf(c_185733,plain,
! [X0: $i] :
( totalorderedP(cons(X0,iPr_def_10))
| ~ ssItem(X0)
| ~ leq(X0,sK57) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185718,c_174077,c_172649,c_173031]) ).
tcf(c_185983,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK57,sK60)))
| ( cons(sK57,sK60) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(cons(sK57,sK60))
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_174357,c_212]) ).
tcf(c_185984,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_174358,c_212]) ).
tcf(c_185985,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_174359,c_212]) ).
tcf(c_185986,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK57,iPr_def_13)))
| ( cons(sK57,iPr_def_13) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(cons(sK57,iPr_def_13))
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_174360,c_212]) ).
tcf(c_185987,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_174361,c_212]) ).
tcf(c_185988,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_174362,c_212]) ).
tcf(c_185989,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_174363,c_212]) ).
tcf(c_185990,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,sK57) ),
inference(superposition,[status(thm)],[c_174364,c_212]) ).
tcf(c_185991,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK60,sK60)))
| ( nil = sK60 )
| ( app(sK60,sK60) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sK60,sK60))
| ~ ssList(app(sK60,sK60))
| ~ lt(X0,hd(sK60)) ),
inference(superposition,[status(thm)],[c_181561,c_212]) ).
tcf(c_185992,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK60,sK59)))
| ( nil = sK60 )
| ( app(sK60,sK59) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sK60,sK59))
| ~ ssList(app(sK60,sK59))
| ~ lt(X0,hd(sK60)) ),
inference(superposition,[status(thm)],[c_181562,c_212]) ).
tcf(c_185993,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK60,sK56)))
| ( nil = sK60 )
| ( app(sK60,sK56) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sK60,sK56))
| ~ ssList(app(sK60,sK56))
| ~ lt(X0,hd(sK60)) ),
inference(superposition,[status(thm)],[c_181563,c_212]) ).
tcf(c_185994,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK59,sK60)))
| ( nil = sK59 )
| ( app(sK59,sK60) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sK59,sK60))
| ~ ssList(app(sK59,sK60))
| ~ lt(X0,hd(sK59)) ),
inference(superposition,[status(thm)],[c_181803,c_212]) ).
tcf(c_185995,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_181804,c_212]) ).
tcf(c_185996,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_181805,c_212]) ).
tcf(c_185997,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK56,sK60)))
| ( nil = sK56 )
| ( app(sK56,sK60) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sK56,sK60))
| ~ ssList(app(sK56,sK60))
| ~ lt(X0,hd(sK56)) ),
inference(superposition,[status(thm)],[c_182671,c_212]) ).
tcf(c_185998,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_182672,c_212]) ).
tcf(c_185999,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_182673,c_212]) ).
tcf(c_186000,plain,
! [X0: $i] :
( strictorderedP(cons(X0,iPr_def_10))
| ~ ssItem(X0)
| ~ lt(X0,sK57) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185990,c_174077,c_172655,c_173031]) ).
tcf(c_186188,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,nil) != nil ) ),
inference(superposition,[status(thm)],[c_369,c_225]) ).
tcf(c_186189,plain,
! [X0: $i] :
( ( sK12(nil,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(nil,nil))
| ( app(X0,nil) != nil ) ),
inference(superposition,[status(thm)],[c_177553,c_225]) ).
tcf(c_186190,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ( app(X0,sK11(nil,nil)) != nil ) ),
inference(superposition,[status(thm)],[c_177497,c_225]) ).
tcf(c_186191,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ( app(X0,iPr_def_10) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_12918,c_225]) ).
tcf(c_186192,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ( app(X0,iPr_def_10) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_12919,c_225]) ).
tcf(c_186193,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK60)
| ~ ssList(X0)
| ( app(X0,sK60) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_12920,c_225]) ).
tcf(c_186194,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_173059,c_225]) ).
tcf(c_186195,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,sK60) != sK60 ) ),
inference(superposition,[status(thm)],[c_172878,c_225]) ).
tcf(c_186196,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,sK59) != sK59 ) ),
inference(superposition,[status(thm)],[c_172879,c_225]) ).
tcf(c_186197,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,sK56) != sK56 ) ),
inference(superposition,[status(thm)],[c_172880,c_225]) ).
tcf(c_186198,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,iPr_def_13) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_172881,c_225]) ).
tcf(c_186199,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,nil) != sK60 ) ),
inference(superposition,[status(thm)],[c_172963,c_225]) ).
tcf(c_186200,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,nil) != sK59 ) ),
inference(superposition,[status(thm)],[c_172964,c_225]) ).
tcf(c_186201,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,nil) != sK56 ) ),
inference(superposition,[status(thm)],[c_172965,c_225]) ).
tcf(c_186202,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,nil) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_172966,c_225]) ).
tcf(c_186203,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_173058,c_225]) ).
tcf(c_186204,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_173235,c_225]) ).
tcf(c_186205,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_173236,c_225]) ).
tcf(c_186206,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_173237,c_225]) ).
tcf(c_186207,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_173238,c_225]) ).
tcf(c_186208,plain,
! [X0: $i] :
( ( cons(sK57,sK60) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ( app(X0,nil) != cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_173272,c_225]) ).
tcf(c_186209,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_173273,c_225]) ).
tcf(c_186210,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_173274,c_225]) ).
tcf(c_186211,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_13) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_13))
| ( app(X0,nil) != cons(sK57,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_173275,c_225]) ).
tcf(c_186212,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_173276,c_225]) ).
tcf(c_186213,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_173277,c_225]) ).
tcf(c_186214,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_173278,c_225]) ).
tcf(c_186215,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( sK49(sK60) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(sK60))
| ( app(X0,nil) != sK49(sK60) ) ),
inference(superposition,[status(thm)],[c_173796,c_225]) ).
tcf(c_186216,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( sK49(sK59) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(sK59))
| ( app(X0,nil) != sK49(sK59) ) ),
inference(superposition,[status(thm)],[c_173797,c_225]) ).
tcf(c_186217,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( sK49(sK56) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(sK56))
| ( app(X0,nil) != sK49(sK56) ) ),
inference(superposition,[status(thm)],[c_173798,c_225]) ).
tcf(c_186218,plain,
! [X0: $i] :
( ( sK49(iPr_def_13) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_13))
| ( app(X0,nil) != sK49(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_174872,c_225]) ).
tcf(c_186219,plain,
! [X0: $i] :
( ( sK49(iPr_def_11) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_11))
| ( app(X0,nil) != sK49(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_175451,c_225]) ).
tcf(c_186220,plain,
! [X0: $i] :
( ( sK49(iPr_def_12) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_12))
| ( app(X0,nil) != sK49(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_175986,c_225]) ).
tcf(c_186221,plain,
! [X0: $i] :
( ( sK49(iPr_def_10) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_10))
| ( app(X0,nil) != sK49(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_176778,c_225]) ).
tcf(c_186222,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ( app(X0,cons(sK57,sK60)) != cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_174718,c_225]) ).
tcf(c_186223,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_174719,c_225]) ).
tcf(c_186224,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_174720,c_225]) ).
tcf(c_186225,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_13))
| ( app(X0,cons(sK57,iPr_def_13)) != cons(sK57,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_174721,c_225]) ).
tcf(c_186226,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_174722,c_225]) ).
tcf(c_186227,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_174723,c_225]) ).
tcf(c_186228,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_174724,c_225]) ).
tcf(c_186229,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,sK59))
| ( app(X0,sK11(iPr_def_11,sK59)) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_177509,c_225]) ).
tcf(c_186230,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_11))
| ( app(X0,sK11(iPr_def_12,iPr_def_11)) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_177508,c_225]) ).
tcf(c_186231,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_12))
| ( app(X0,sK11(iPr_def_13,iPr_def_12)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_177507,c_225]) ).
tcf(c_186232,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_177506,c_225]) ).
tcf(c_186233,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK60,nil))
| ( app(X0,sK11(sK60,nil)) != sK60 ) ),
inference(superposition,[status(thm)],[c_177505,c_225]) ).
tcf(c_186234,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ( app(X0,sK11(sK59,nil)) != sK59 ) ),
inference(superposition,[status(thm)],[c_177504,c_225]) ).
tcf(c_186235,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ( app(X0,sK11(sK56,nil)) != sK56 ) ),
inference(superposition,[status(thm)],[c_177503,c_225]) ).
tcf(c_186236,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,nil))
| ( app(X0,sK11(iPr_def_13,nil)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_177502,c_225]) ).
tcf(c_186237,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_13))
| ( app(X0,sK11(iPr_def_13,iPr_def_13)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_177493,c_225]) ).
tcf(c_186238,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_177492,c_225]) ).
tcf(c_186239,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_177491,c_225]) ).
tcf(c_186240,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_177501,c_225]) ).
tcf(c_186241,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_177490,c_225]) ).
tcf(c_186242,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_177500,c_225]) ).
tcf(c_186243,plain,
! [X0: $i] :
( ( sK12(iPr_def_13,sK60) = X0 )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,sK60))
| ( app(X0,sK60) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_177563,c_225]) ).
tcf(c_186244,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_177552,c_225]) ).
tcf(c_186245,plain,
! [X0: $i] :
( ( sK12(iPr_def_13,iPr_def_13) = X0 )
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,iPr_def_13))
| ( app(X0,iPr_def_13) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_177548,c_225]) ).
tcf(c_186246,plain,
! [X0: $i] :
( ( sK12(sK60,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK60,nil))
| ( app(X0,nil) != sK60 ) ),
inference(superposition,[status(thm)],[c_177562,c_225]) ).
tcf(c_186247,plain,
! [X0: $i] :
( ( sK12(sK59,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ( app(X0,nil) != sK59 ) ),
inference(superposition,[status(thm)],[c_177561,c_225]) ).
tcf(c_186248,plain,
! [X0: $i] :
( ( sK12(sK56,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ( app(X0,nil) != sK56 ) ),
inference(superposition,[status(thm)],[c_177560,c_225]) ).
tcf(c_186249,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_177557,c_225]) ).
tcf(c_186250,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_177547,c_225]) ).
tcf(c_186251,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_177556,c_225]) ).
tcf(c_186252,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_177546,c_225]) ).
tcf(c_186253,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_183614,c_225]) ).
tcf(c_186254,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_183613,c_225]) ).
tcf(c_186255,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_183612,c_225]) ).
tcf(c_186256,plain,
! [X0: $i] :
( ( sK8(iPr_def_13,sK57) = X0 )
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_13,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_13,sK57)))
| ( app(X0,cons(sK57,sK9(iPr_def_13,sK57))) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_183611,c_225]) ).
tcf(c_186258,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,nil) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186188,c_141]) ).
tcf(c_186262,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,iPr_def_12) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186207,c_173203,c_141]) ).
tcf(c_186266,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ( app(X0,nil) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186206,c_173203,c_141]) ).
tcf(c_186270,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,iPr_def_11) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186205,c_173202,c_141]) ).
tcf(c_186274,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(X0,nil) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186204,c_173202,c_141]) ).
tcf(c_186278,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(X0,nil) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186203,c_173031,c_141]) ).
tcf(c_186282,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ~ ssList(X0)
| ( app(X0,nil) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186202,c_172540,c_141]) ).
tcf(c_186286,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ( app(X0,nil) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186201,c_12924,c_141]) ).
tcf(c_186290,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ( app(X0,nil) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186200,c_12926,c_141]) ).
tcf(c_186294,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(X0)
| ( app(X0,nil) != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186199,c_12927,c_141]) ).
tcf(c_186298,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,iPr_def_13) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186198,c_172540,c_141]) ).
tcf(c_186302,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,sK56) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186197,c_12924,c_141]) ).
tcf(c_186306,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,sK59) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186196,c_12926,c_141]) ).
tcf(c_186310,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,sK60) != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186195,c_12927,c_141]) ).
tcf(c_186314,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,iPr_def_10) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186194,c_173031,c_141]) ).
tcf(c_186318,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ( app(X0,sK60) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186193,c_173203,c_12927]) ).
tcf(c_186322,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(X0,iPr_def_10) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186192,c_173202,c_173031]) ).
tcf(c_186326,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ( app(X0,iPr_def_10) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186191,c_173031,c_12926]) ).
tcf(c_186330,plain,
! [X0: $i] :
( ( sK49(iPr_def_10) = X0 )
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_10))
| ( app(X0,nil) != sK49(iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186221,c_141]) ).
tcf(c_186335,plain,
! [X0: $i] :
( ( sK49(iPr_def_12) = X0 )
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_12))
| ( app(X0,nil) != sK49(iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186220,c_141]) ).
tcf(c_186340,plain,
! [X0: $i] :
( ( sK49(iPr_def_11) = X0 )
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_11))
| ( app(X0,nil) != sK49(iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186219,c_141]) ).
tcf(c_186345,plain,
! [X0: $i] :
( ( sK49(iPr_def_13) = X0 )
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_13))
| ( app(X0,nil) != sK49(iPr_def_13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186218,c_141]) ).
tcf(c_186350,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_186252,c_173203]) ).
tcf(c_186355,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_186251,c_141]) ).
tcf(c_186360,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_186250,c_173202]) ).
tcf(c_186365,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_186249,c_141]) ).
tcf(c_186370,plain,
! [X0: $i] :
( ( sK12(sK56,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ( app(X0,nil) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186248,c_141]) ).
tcf(c_186375,plain,
! [X0: $i] :
( ( sK12(sK59,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ( app(X0,nil) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186247,c_141]) ).
tcf(c_186380,plain,
! [X0: $i] :
( ( sK12(sK60,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK60,nil))
| ( app(X0,nil) != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186246,c_141]) ).
tcf(c_186385,plain,
! [X0: $i] :
( ( sK12(iPr_def_13,iPr_def_13) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,iPr_def_13))
| ( app(X0,iPr_def_13) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186245,c_172540]) ).
tcf(c_186390,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_186244,c_173031]) ).
tcf(c_186395,plain,
! [X0: $i] :
( ( sK12(iPr_def_13,sK60) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,sK60))
| ( app(X0,sK60) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186243,c_12927]) ).
tcf(c_186400,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_186242,c_141]) ).
tcf(c_186405,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_186241,c_173203]) ).
tcf(c_186410,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_186240,c_141]) ).
tcf(c_186415,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_186239,c_173202]) ).
tcf(c_186420,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_186238,c_173031]) ).
tcf(c_186425,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_13))
| ( app(X0,sK11(iPr_def_13,iPr_def_13)) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186237,c_172540]) ).
tcf(c_186430,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,nil))
| ( app(X0,sK11(iPr_def_13,nil)) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186236,c_141]) ).
tcf(c_186435,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ( app(X0,sK11(sK56,nil)) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186235,c_141]) ).
tcf(c_186440,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ( app(X0,sK11(sK59,nil)) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186234,c_141]) ).
tcf(c_186445,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK11(sK60,nil))
| ( app(X0,sK11(sK60,nil)) != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186233,c_141]) ).
tcf(c_186450,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_186232,c_141]) ).
tcf(c_186455,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_12))
| ( app(X0,sK11(iPr_def_13,iPr_def_12)) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186231,c_173203]) ).
tcf(c_186460,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_11))
| ( app(X0,sK11(iPr_def_12,iPr_def_11)) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186230,c_173202]) ).
tcf(c_186465,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,sK59))
| ( app(X0,sK11(iPr_def_11,sK59)) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186229,c_12926]) ).
tcf(c_186470,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ( app(X0,sK11(nil,nil)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186190,c_141]) ).
tcf(c_186475,plain,
! [X0: $i] :
( ( sK12(nil,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(nil,nil))
| ( app(X0,nil) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186189,c_141]) ).
tcf(c_186480,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_10))
| ( app(X0,cons(sK57,iPr_def_10)) != cons(sK57,iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186228,c_141]) ).
tcf(c_186485,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ( app(X0,cons(sK57,iPr_def_12)) != cons(sK57,iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186227,c_141]) ).
tcf(c_186490,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_11))
| ( app(X0,cons(sK57,iPr_def_11)) != cons(sK57,iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186226,c_141]) ).
tcf(c_186495,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_13))
| ( app(X0,cons(sK57,iPr_def_13)) != cons(sK57,iPr_def_13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186225,c_141]) ).
tcf(c_186500,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ( app(X0,cons(sK57,sK56)) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186224,c_141]) ).
tcf(c_186505,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ( app(X0,cons(sK57,sK59)) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186223,c_141]) ).
tcf(c_186510,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ( app(X0,cons(sK57,sK60)) != cons(sK57,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186222,c_141]) ).
tcf(c_186515,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_10) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_10))
| ( app(X0,nil) != cons(sK57,iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186214,c_141]) ).
tcf(c_186520,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_12) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ( app(X0,nil) != cons(sK57,iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186213,c_141]) ).
tcf(c_186525,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_11) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_11))
| ( app(X0,nil) != cons(sK57,iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186212,c_141]) ).
tcf(c_186530,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_13) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_13))
| ( app(X0,nil) != cons(sK57,iPr_def_13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186211,c_141]) ).
tcf(c_186535,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ( app(X0,nil) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186210,c_141]) ).
tcf(c_186540,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ( app(X0,nil) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186209,c_141]) ).
tcf(c_186545,plain,
! [X0: $i] :
( ( cons(sK57,sK60) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ( app(X0,nil) != cons(sK57,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186208,c_141]) ).
tcf(c_186550,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( sK49(sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(sK49(sK56))
| ( app(X0,nil) != sK49(sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186217,c_141]) ).
tcf(c_186556,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( sK49(sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK49(sK59))
| ( app(X0,nil) != sK49(sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186216,c_141]) ).
tcf(c_186562,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( sK49(sK60) = X0 )
| ~ ssList(X0)
| ~ ssList(sK49(sK60))
| ( app(X0,nil) != sK49(sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186215,c_141]) ).
tcf(c_186845,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(nil,X0) != nil ) ),
inference(superposition,[status(thm)],[c_369,c_226]) ).
tcf(c_186846,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(nil,nil))
| ( app(sK12(nil,nil),X0) != nil ) ),
inference(superposition,[status(thm)],[c_177553,c_226]) ).
tcf(c_186847,plain,
! [X0: $i] :
( ( sK11(nil,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ( app(nil,X0) != nil ) ),
inference(superposition,[status(thm)],[c_177497,c_226]) ).
tcf(c_186848,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ( app(sK59,X0) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_12918,c_226]) ).
tcf(c_186849,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_12919,c_226]) ).
tcf(c_186850,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK60)
| ~ ssList(X0)
| ( app(iPr_def_12,X0) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_12920,c_226]) ).
tcf(c_186851,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_173059,c_226]) ).
tcf(c_186852,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(nil,X0) != sK60 ) ),
inference(superposition,[status(thm)],[c_172878,c_226]) ).
tcf(c_186853,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(nil,X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_172879,c_226]) ).
tcf(c_186854,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(nil,X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_172880,c_226]) ).
tcf(c_186855,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(nil,X0) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_172881,c_226]) ).
tcf(c_186856,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(sK60,X0) != sK60 ) ),
inference(superposition,[status(thm)],[c_172963,c_226]) ).
tcf(c_186857,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(sK59,X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_172964,c_226]) ).
tcf(c_186858,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(sK56,X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_172965,c_226]) ).
tcf(c_186859,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_172966,c_226]) ).
tcf(c_186860,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_173058,c_226]) ).
tcf(c_186861,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_173235,c_226]) ).
tcf(c_186862,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_173236,c_226]) ).
tcf(c_186863,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_173237,c_226]) ).
tcf(c_186864,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_173238,c_226]) ).
tcf(c_186865,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ( app(cons(sK57,sK60),X0) != cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_173272,c_226]) ).
tcf(c_186866,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_173273,c_226]) ).
tcf(c_186867,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_173274,c_226]) ).
tcf(c_186868,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_13))
| ( app(cons(sK57,iPr_def_13),X0) != cons(sK57,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_173275,c_226]) ).
tcf(c_186869,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_173276,c_226]) ).
tcf(c_186870,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_173277,c_226]) ).
tcf(c_186871,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_173278,c_226]) ).
tcf(c_186872,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(sK60))
| ( app(sK49(sK60),X0) != sK49(sK60) ) ),
inference(superposition,[status(thm)],[c_173796,c_226]) ).
tcf(c_186873,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(sK59))
| ( app(sK49(sK59),X0) != sK49(sK59) ) ),
inference(superposition,[status(thm)],[c_173797,c_226]) ).
tcf(c_186874,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(sK56))
| ( app(sK49(sK56),X0) != sK49(sK56) ) ),
inference(superposition,[status(thm)],[c_173798,c_226]) ).
tcf(c_186875,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_13))
| ( app(sK49(iPr_def_13),X0) != sK49(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_174872,c_226]) ).
tcf(c_186876,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_11))
| ( app(sK49(iPr_def_11),X0) != sK49(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_175451,c_226]) ).
tcf(c_186877,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_12))
| ( app(sK49(iPr_def_12),X0) != sK49(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_175986,c_226]) ).
tcf(c_186878,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_10))
| ( app(sK49(iPr_def_10),X0) != sK49(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_176778,c_226]) ).
tcf(c_186879,plain,
! [X0: $i] :
( ( cons(sK57,sK60) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ( app(nil,X0) != cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_174718,c_226]) ).
tcf(c_186880,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_174719,c_226]) ).
tcf(c_186881,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_174720,c_226]) ).
tcf(c_186882,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_13) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_13))
| ( app(nil,X0) != cons(sK57,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_174721,c_226]) ).
tcf(c_186883,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_174722,c_226]) ).
tcf(c_186884,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_174723,c_226]) ).
tcf(c_186885,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_174724,c_226]) ).
tcf(c_186886,plain,
! [X0: $i] :
( ( sK11(iPr_def_11,sK59) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,sK59))
| ( app(sK59,X0) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_177509,c_226]) ).
tcf(c_186887,plain,
! [X0: $i] :
( ( sK11(iPr_def_12,iPr_def_11) = X0 )
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_11))
| ( app(iPr_def_11,X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_177508,c_226]) ).
tcf(c_186888,plain,
! [X0: $i] :
( ( sK11(iPr_def_13,iPr_def_12) = X0 )
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_12))
| ( app(iPr_def_12,X0) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_177507,c_226]) ).
tcf(c_186889,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_177506,c_226]) ).
tcf(c_186890,plain,
! [X0: $i] :
( ( sK11(sK60,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK60,nil))
| ( app(nil,X0) != sK60 ) ),
inference(superposition,[status(thm)],[c_177505,c_226]) ).
tcf(c_186891,plain,
! [X0: $i] :
( ( sK11(sK59,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ( app(nil,X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_177504,c_226]) ).
tcf(c_186892,plain,
! [X0: $i] :
( ( sK11(sK56,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ( app(nil,X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_177503,c_226]) ).
tcf(c_186893,plain,
! [X0: $i] :
( ( sK11(iPr_def_13,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,nil))
| ( app(nil,X0) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_177502,c_226]) ).
tcf(c_186894,plain,
! [X0: $i] :
( ( sK11(iPr_def_13,iPr_def_13) = X0 )
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_13))
| ( app(iPr_def_13,X0) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_177493,c_226]) ).
tcf(c_186895,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_177492,c_226]) ).
tcf(c_186896,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_177491,c_226]) ).
tcf(c_186897,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_177501,c_226]) ).
tcf(c_186898,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_177490,c_226]) ).
tcf(c_186899,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_177500,c_226]) ).
tcf(c_186900,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,sK60))
| ( app(sK12(iPr_def_13,sK60),X0) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_177563,c_226]) ).
tcf(c_186901,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_177552,c_226]) ).
tcf(c_186902,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,iPr_def_13))
| ( app(sK12(iPr_def_13,iPr_def_13),X0) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_177548,c_226]) ).
tcf(c_186903,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK60,nil))
| ( app(sK12(sK60,nil),X0) != sK60 ) ),
inference(superposition,[status(thm)],[c_177562,c_226]) ).
tcf(c_186904,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ( app(sK12(sK59,nil),X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_177561,c_226]) ).
tcf(c_186905,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ( app(sK12(sK56,nil),X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_177560,c_226]) ).
tcf(c_186906,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_177557,c_226]) ).
tcf(c_186907,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_177547,c_226]) ).
tcf(c_186908,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_177556,c_226]) ).
tcf(c_186909,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_177546,c_226]) ).
tcf(c_186910,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_183614,c_226]) ).
tcf(c_186911,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_183613,c_226]) ).
tcf(c_186912,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_183612,c_226]) ).
tcf(c_186913,plain,
! [X0: $i] :
( ( cons(sK57,sK9(iPr_def_13,sK57)) = X0 )
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_13,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_13,sK57)))
| ( app(sK8(iPr_def_13,sK57),X0) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_183611,c_226]) ).
tcf(c_186915,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(nil,X0) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186845,c_141]) ).
tcf(c_186919,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ( app(nil,X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186864,c_173203,c_141]) ).
tcf(c_186923,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(iPr_def_12,X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186863,c_173203,c_141]) ).
tcf(c_186927,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(nil,X0) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186862,c_173202,c_141]) ).
tcf(c_186931,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186861,c_173202,c_141]) ).
tcf(c_186935,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186860,c_173031,c_141]) ).
tcf(c_186939,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186859,c_172540,c_141]) ).
tcf(c_186943,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(sK56,X0) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186858,c_12924,c_141]) ).
tcf(c_186947,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(sK59,X0) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186857,c_12926,c_141]) ).
tcf(c_186951,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(sK60,X0) != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186856,c_12927,c_141]) ).
tcf(c_186955,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ~ ssList(X0)
| ( app(nil,X0) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186855,c_172540,c_141]) ).
tcf(c_186959,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ( app(nil,X0) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186854,c_12924,c_141]) ).
tcf(c_186963,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ( app(nil,X0) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186853,c_12926,c_141]) ).
tcf(c_186967,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(X0)
| ( app(nil,X0) != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186852,c_12927,c_141]) ).
tcf(c_186971,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(nil,X0) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186851,c_173031,c_141]) ).
tcf(c_186975,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(X0)
| ( app(iPr_def_12,X0) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186850,c_173203,c_12927]) ).
tcf(c_186979,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186849,c_173202,c_173031]) ).
tcf(c_186983,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(sK59,X0) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186848,c_173031,c_12926]) ).
tcf(c_186987,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_10))
| ( app(sK49(iPr_def_10),X0) != sK49(iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186878,c_141]) ).
tcf(c_186992,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_12))
| ( app(sK49(iPr_def_12),X0) != sK49(iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186877,c_141]) ).
tcf(c_186997,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_11))
| ( app(sK49(iPr_def_11),X0) != sK49(iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186876,c_141]) ).
tcf(c_187002,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_13))
| ( app(sK49(iPr_def_13),X0) != sK49(iPr_def_13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186875,c_141]) ).
tcf(c_187007,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_186909,c_173203]) ).
tcf(c_187012,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_186908,c_141]) ).
tcf(c_187017,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_186907,c_173202]) ).
tcf(c_187022,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_186906,c_141]) ).
tcf(c_187027,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ( app(sK12(sK56,nil),X0) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186905,c_141]) ).
tcf(c_187032,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ( app(sK12(sK59,nil),X0) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186904,c_141]) ).
tcf(c_187037,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK12(sK60,nil))
| ( app(sK12(sK60,nil),X0) != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186903,c_141]) ).
tcf(c_187042,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,iPr_def_13))
| ( app(sK12(iPr_def_13,iPr_def_13),X0) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186902,c_172540]) ).
tcf(c_187047,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_186901,c_173031]) ).
tcf(c_187052,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,sK60))
| ( app(sK12(iPr_def_13,sK60),X0) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186900,c_12927]) ).
tcf(c_187057,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_186899,c_141]) ).
tcf(c_187062,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_186898,c_173203]) ).
tcf(c_187067,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_186897,c_141]) ).
tcf(c_187072,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_186896,c_173202]) ).
tcf(c_187077,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_186895,c_173031]) ).
tcf(c_187082,plain,
! [X0: $i] :
( ( sK11(iPr_def_13,iPr_def_13) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_13))
| ( app(iPr_def_13,X0) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186894,c_172540]) ).
tcf(c_187087,plain,
! [X0: $i] :
( ( sK11(iPr_def_13,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,nil))
| ( app(nil,X0) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186893,c_141]) ).
tcf(c_187092,plain,
! [X0: $i] :
( ( sK11(sK56,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ( app(nil,X0) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186892,c_141]) ).
tcf(c_187097,plain,
! [X0: $i] :
( ( sK11(sK59,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ( app(nil,X0) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186891,c_141]) ).
tcf(c_187102,plain,
! [X0: $i] :
( ( sK11(sK60,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK60,nil))
| ( app(nil,X0) != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186890,c_141]) ).
tcf(c_187107,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_186889,c_141]) ).
tcf(c_187112,plain,
! [X0: $i] :
( ( sK11(iPr_def_13,iPr_def_12) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_12))
| ( app(iPr_def_12,X0) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186888,c_173203]) ).
tcf(c_187117,plain,
! [X0: $i] :
( ( sK11(iPr_def_12,iPr_def_11) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_11))
| ( app(iPr_def_11,X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186887,c_173202]) ).
tcf(c_187122,plain,
! [X0: $i] :
( ( sK11(iPr_def_11,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,sK59))
| ( app(sK59,X0) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186886,c_12926]) ).
tcf(c_187127,plain,
! [X0: $i] :
( ( sK11(nil,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ( app(nil,X0) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186847,c_141]) ).
tcf(c_187132,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK12(nil,nil))
| ( app(sK12(nil,nil),X0) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186846,c_141]) ).
tcf(c_187137,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_10) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_10))
| ( app(nil,X0) != cons(sK57,iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186885,c_141]) ).
tcf(c_187142,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_12) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ( app(nil,X0) != cons(sK57,iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186884,c_141]) ).
tcf(c_187147,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_11) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_11))
| ( app(nil,X0) != cons(sK57,iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186883,c_141]) ).
tcf(c_187152,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_13) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_13))
| ( app(nil,X0) != cons(sK57,iPr_def_13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186882,c_141]) ).
tcf(c_187157,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ( app(nil,X0) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186881,c_141]) ).
tcf(c_187162,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ( app(nil,X0) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186880,c_141]) ).
tcf(c_187167,plain,
! [X0: $i] :
( ( cons(sK57,sK60) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ( app(nil,X0) != cons(sK57,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186879,c_141]) ).
tcf(c_187172,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_10))
| ( app(cons(sK57,iPr_def_10),X0) != cons(sK57,iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186871,c_141]) ).
tcf(c_187177,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ( app(cons(sK57,iPr_def_12),X0) != cons(sK57,iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186870,c_141]) ).
tcf(c_187182,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_11))
| ( app(cons(sK57,iPr_def_11),X0) != cons(sK57,iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186869,c_141]) ).
tcf(c_187187,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_13))
| ( app(cons(sK57,iPr_def_13),X0) != cons(sK57,iPr_def_13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186868,c_141]) ).
tcf(c_187192,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ( app(cons(sK57,sK56),X0) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186867,c_141]) ).
tcf(c_187197,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ( app(cons(sK57,sK59),X0) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186866,c_141]) ).
tcf(c_187202,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ( app(cons(sK57,sK60),X0) != cons(sK57,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186865,c_141]) ).
tcf(c_187207,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK49(sK56))
| ( app(sK49(sK56),X0) != sK49(sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186874,c_141]) ).
tcf(c_187213,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK49(sK59))
| ( app(sK49(sK59),X0) != sK49(sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186873,c_141]) ).
tcf(c_187219,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK49(sK60))
| ( app(sK49(sK60),X0) != sK49(sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186872,c_141]) ).
tcf(c_187358,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_177558,c_167]) ).
tcf(c_187361,plain,
( frontsegP(iPr_def_10,sK12(iPr_def_10,nil))
| ~ ssList(nil)
| ~ ssList(sK12(iPr_def_10,nil)) ),
inference(superposition,[status(thm)],[c_177558,c_378]) ).
tcf(c_187364,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_177558,c_225]) ).
tcf(c_187365,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_177558,c_226]) ).
tcf(c_187366,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_177558,c_176]) ).
tcf(c_187367,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_177558,c_165]) ).
tcf(c_187368,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_177558,c_186]) ).
tcf(c_187370,plain,
( frontsegP(iPr_def_10,sK12(iPr_def_10,nil))
| ~ ssList(sK12(iPr_def_10,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187361,c_141]) ).
tcf(c_187374,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_187367,c_141]) ).
tcf(c_187379,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_187366,c_141]) ).
tcf(c_187384,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_187358,c_141]) ).
tcf(c_187390,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_187365,c_141]) ).
tcf(c_187395,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_187364,c_141]) ).
tcf(c_187511,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK12(iPr_def_13,nil),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0)
| ~ ssList(sK12(iPr_def_13,nil)) ),
inference(superposition,[status(thm)],[c_177559,c_167]) ).
tcf(c_187514,plain,
( frontsegP(iPr_def_13,sK12(iPr_def_13,nil))
| ~ ssList(nil)
| ~ ssList(sK12(iPr_def_13,nil)) ),
inference(superposition,[status(thm)],[c_177559,c_378]) ).
tcf(c_187517,plain,
! [X0: $i] :
( ( sK12(iPr_def_13,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,nil))
| ( app(X0,nil) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_177559,c_225]) ).
tcf(c_187518,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,nil))
| ( app(sK12(iPr_def_13,nil),X0) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_177559,c_226]) ).
tcf(c_187519,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,nil))
| ~ frontsegP(sK12(iPr_def_13,nil),X0) ),
inference(superposition,[status(thm)],[c_177559,c_176]) ).
tcf(c_187520,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK12(iPr_def_13,nil))
| ~ memberP(sK12(iPr_def_13,nil),X0) ),
inference(superposition,[status(thm)],[c_177559,c_165]) ).
tcf(c_187521,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK12(iPr_def_13,nil)) ),
inference(superposition,[status(thm)],[c_177559,c_186]) ).
tcf(c_187523,plain,
( frontsegP(iPr_def_13,sK12(iPr_def_13,nil))
| ~ ssList(sK12(iPr_def_13,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187514,c_141]) ).
tcf(c_187527,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(iPr_def_13,nil))
| ~ memberP(sK12(iPr_def_13,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187520,c_141]) ).
tcf(c_187532,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,nil))
| ~ frontsegP(sK12(iPr_def_13,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187519,c_141]) ).
tcf(c_187537,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK12(iPr_def_13,nil),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0)
| ~ ssList(sK12(iPr_def_13,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187511,c_141]) ).
tcf(c_187543,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,nil))
| ( app(sK12(iPr_def_13,nil),X0) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187518,c_141]) ).
tcf(c_187548,plain,
! [X0: $i] :
( ( sK12(iPr_def_13,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,nil))
| ( app(X0,nil) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187517,c_141]) ).
tcf(c_187555,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| memberP(sK12(iPr_def_12,iPr_def_10),X0)
| ~ ssList(iPr_def_10)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_177564,c_167]) ).
tcf(c_187558,plain,
( frontsegP(iPr_def_12,sK12(iPr_def_12,iPr_def_10))
| ~ ssList(iPr_def_10)
| ~ ssList(sK12(iPr_def_12,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_177564,c_378]) ).
tcf(c_187561,plain,
! [X0: $i] :
( ( sK12(iPr_def_12,iPr_def_10) = X0 )
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_10))
| ( app(X0,iPr_def_10) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_177564,c_225]) ).
tcf(c_187562,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_10))
| ( app(sK12(iPr_def_12,iPr_def_10),X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_177564,c_226]) ).
tcf(c_187563,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_10))
| ~ frontsegP(sK12(iPr_def_12,iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_177564,c_176]) ).
tcf(c_187564,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(iPr_def_10)
| ~ ssItem(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_10))
| ~ memberP(sK12(iPr_def_12,iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_177564,c_165]) ).
tcf(c_187565,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_10,X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_177564,c_186]) ).
tcf(c_187566,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(iPr_def_10)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_177564,c_166]) ).
tcf(c_187568,plain,
( frontsegP(iPr_def_12,sK12(iPr_def_12,iPr_def_10))
| ~ ssList(sK12(iPr_def_12,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187558,c_173031]) ).
tcf(c_187573,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_10))
| ~ memberP(sK12(iPr_def_12,iPr_def_10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187564,c_173031]) ).
tcf(c_187578,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_10))
| ~ frontsegP(sK12(iPr_def_12,iPr_def_10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187563,c_173031]) ).
tcf(c_187583,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| memberP(sK12(iPr_def_12,iPr_def_10),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187555,c_173031]) ).
tcf(c_187589,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_10))
| ( app(sK12(iPr_def_12,iPr_def_10),X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187562,c_173031]) ).
tcf(c_187594,plain,
! [X0: $i] :
( ( sK12(iPr_def_12,iPr_def_10) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_10))
| ( app(X0,iPr_def_10) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187561,c_173031]) ).
tcf(c_187601,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| memberP(sK12(iPr_def_11,iPr_def_10),X0)
| ~ ssList(iPr_def_10)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_177565,c_167]) ).
tcf(c_187604,plain,
( frontsegP(iPr_def_11,sK12(iPr_def_11,iPr_def_10))
| ~ ssList(iPr_def_10)
| ~ ssList(sK12(iPr_def_11,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_177565,c_378]) ).
tcf(c_187607,plain,
! [X0: $i] :
( ( sK12(iPr_def_11,iPr_def_10) = X0 )
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_10))
| ( app(X0,iPr_def_10) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_177565,c_225]) ).
tcf(c_187608,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_10))
| ( app(sK12(iPr_def_11,iPr_def_10),X0) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_177565,c_226]) ).
tcf(c_187609,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_10))
| ~ frontsegP(sK12(iPr_def_11,iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_177565,c_176]) ).
tcf(c_187610,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssList(iPr_def_10)
| ~ ssItem(X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_10))
| ~ memberP(sK12(iPr_def_11,iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_177565,c_165]) ).
tcf(c_187611,plain,
! [X0: $i] :
( rearsegP(iPr_def_11,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_10,X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_177565,c_186]) ).
tcf(c_187612,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssList(iPr_def_10)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_177565,c_166]) ).
tcf(c_187614,plain,
( frontsegP(iPr_def_11,sK12(iPr_def_11,iPr_def_10))
| ~ ssList(sK12(iPr_def_11,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187604,c_173031]) ).
tcf(c_187619,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_10))
| ~ memberP(sK12(iPr_def_11,iPr_def_10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187610,c_173031]) ).
tcf(c_187624,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_10))
| ~ frontsegP(sK12(iPr_def_11,iPr_def_10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187609,c_173031]) ).
tcf(c_187629,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| memberP(sK12(iPr_def_11,iPr_def_10),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187601,c_173031]) ).
tcf(c_187635,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_10))
| ( app(sK12(iPr_def_11,iPr_def_10),X0) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187608,c_173031]) ).
tcf(c_187640,plain,
! [X0: $i] :
( ( sK12(iPr_def_11,iPr_def_10) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_10))
| ( app(X0,iPr_def_10) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187607,c_173031]) ).
tcf(c_187652,plain,
( ( sK12(nil,nil) = sK56 )
| ~ ssList(sK12(nil,nil))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_177553,c_186286]) ).
tcf(c_187674,plain,
( ( sK12(sK60,nil) = sK56 )
| ~ ssList(sK12(sK60,nil))
| ( sK60 != sK56 ) ),
inference(superposition,[status(thm)],[c_177562,c_186286]) ).
tcf(c_187675,plain,
( ( sK12(sK59,nil) = sK56 )
| ~ ssList(sK12(sK59,nil))
| ( sK59 != sK56 ) ),
inference(superposition,[status(thm)],[c_177561,c_186286]) ).
tcf(c_187676,plain,
( ( sK12(sK56,nil) = sK56 )
| ~ ssList(sK12(sK56,nil)) ),
inference(superposition,[status(thm)],[c_177560,c_186286]) ).
tcf(c_187677,plain,
( ( sK12(iPr_def_13,nil) = sK56 )
| ~ ssList(sK12(iPr_def_13,nil))
| ( sK56 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_177559,c_186286]) ).
tcf(c_187678,plain,
( ( sK12(iPr_def_10,nil) = sK56 )
| ~ ssList(sK12(iPr_def_10,nil))
| ( sK56 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_177558,c_186286]) ).
tcf(c_187679,plain,
( ( sK12(iPr_def_11,nil) = sK56 )
| ~ ssList(sK12(iPr_def_11,nil))
| ( sK56 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_177557,c_186286]) ).
tcf(c_187680,plain,
( ( sK12(iPr_def_12,nil) = sK56 )
| ~ ssList(sK12(iPr_def_12,nil))
| ( sK56 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_177556,c_186286]) ).
tcf(c_187730,plain,
( ( sK12(nil,nil) = sK59 )
| ~ ssList(sK12(nil,nil))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_177553,c_186290]) ).
tcf(c_187752,plain,
( ( sK12(sK60,nil) = sK59 )
| ~ ssList(sK12(sK60,nil))
| ( sK59 != sK60 ) ),
inference(superposition,[status(thm)],[c_177562,c_186290]) ).
tcf(c_187753,plain,
( ( sK12(sK59,nil) = sK59 )
| ~ ssList(sK12(sK59,nil)) ),
inference(superposition,[status(thm)],[c_177561,c_186290]) ).
tcf(c_187754,plain,
( ( sK12(sK56,nil) = sK59 )
| ~ ssList(sK12(sK56,nil))
| ( sK59 != sK56 ) ),
inference(superposition,[status(thm)],[c_177560,c_186290]) ).
tcf(c_187755,plain,
( ( sK12(iPr_def_13,nil) = sK59 )
| ~ ssList(sK12(iPr_def_13,nil))
| ( sK59 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_177559,c_186290]) ).
tcf(c_187756,plain,
( ( sK12(iPr_def_10,nil) = sK59 )
| ~ ssList(sK12(iPr_def_10,nil))
| ( sK59 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_177558,c_186290]) ).
tcf(c_187757,plain,
( ( sK12(iPr_def_11,nil) = sK59 )
| ~ ssList(sK12(iPr_def_11,nil))
| ( sK59 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_177557,c_186290]) ).
tcf(c_187758,plain,
( ( sK12(iPr_def_12,nil) = sK59 )
| ~ ssList(sK12(iPr_def_12,nil))
| ( sK59 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_177556,c_186290]) ).
tcf(c_187789,plain,
( ( sK12(nil,nil) = sK60 )
| ~ ssList(sK12(nil,nil))
| ( nil != sK60 ) ),
inference(superposition,[status(thm)],[c_177553,c_186294]) ).
tcf(c_187811,plain,
( ( sK12(sK60,nil) = sK60 )
| ~ ssList(sK12(sK60,nil)) ),
inference(superposition,[status(thm)],[c_177562,c_186294]) ).
tcf(c_187812,plain,
( ( sK12(sK59,nil) = sK60 )
| ~ ssList(sK12(sK59,nil))
| ( sK59 != sK60 ) ),
inference(superposition,[status(thm)],[c_177561,c_186294]) ).
tcf(c_187813,plain,
( ( sK12(sK56,nil) = sK60 )
| ~ ssList(sK12(sK56,nil))
| ( sK60 != sK56 ) ),
inference(superposition,[status(thm)],[c_177560,c_186294]) ).
tcf(c_187814,plain,
( ( sK12(iPr_def_13,nil) = sK60 )
| ~ ssList(sK12(iPr_def_13,nil))
| ( sK60 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_177559,c_186294]) ).
tcf(c_187815,plain,
( ( sK12(iPr_def_10,nil) = sK60 )
| ~ ssList(sK12(iPr_def_10,nil))
| ( sK60 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_177558,c_186294]) ).
tcf(c_187816,plain,
( ( sK12(iPr_def_11,nil) = sK60 )
| ~ ssList(sK12(iPr_def_11,nil))
| ( sK60 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_177557,c_186294]) ).
tcf(c_187817,plain,
( ( sK12(iPr_def_12,nil) = sK60 )
| ~ ssList(sK12(iPr_def_12,nil))
| ( sK60 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_177556,c_186294]) ).
tcf(c_187861,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ( sK60 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_12920,c_186310]) ).
tcf(c_187864,plain,
sK60 != iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_187861,c_177323,c_173203]) ).
tcf(c_187873,plain,
( ( sK12(iPr_def_13,sK60) = iPr_def_12 )
| ~ ssList(sK12(iPr_def_13,sK60)) ),
inference(superposition,[status(thm)],[c_177563,c_186318]) ).
tcf(c_187883,plain,
( ( sK59 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ( iPr_def_11 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_12919,c_186326]) ).
tcf(c_187884,plain,
( ( nil = sK59 )
| ~ ssList(nil)
| ( iPr_def_10 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_173059,c_186326]) ).
tcf(c_187885,plain,
( ( sK12(iPr_def_11,iPr_def_10) = sK59 )
| ~ ssList(sK12(iPr_def_11,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_177565,c_186326]) ).
tcf(c_187886,plain,
( ( sK12(iPr_def_12,iPr_def_10) = sK59 )
| ~ ssList(sK12(iPr_def_12,iPr_def_10))
| ( iPr_def_11 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_177564,c_186326]) ).
tcf(c_187887,plain,
( ( sK12(iPr_def_10,iPr_def_10) = sK59 )
| ~ ssList(sK12(iPr_def_10,iPr_def_10))
| ( iPr_def_10 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_177552,c_186326]) ).
tcf(c_187890,plain,
( ( nil = sK59 )
| ( iPr_def_10 != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187884,c_141]) ).
tcf(c_187893,plain,
( ( sK59 = iPr_def_11 )
| ( iPr_def_11 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187883,c_173202]) ).
tcf(c_187974,plain,
( ssItem(hd(tl(sK60)))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(tl(sK60)) ),
inference(superposition,[status(thm)],[c_175805,c_219]) ).
tcf(c_187989,plain,
! [X0: $i] :
( segmentP(app(nil,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,nil),X0)) ),
inference(superposition,[status(thm)],[c_369,c_67]) ).
tcf(c_187990,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_177553,c_67]) ).
tcf(c_187991,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_177497,c_67]) ).
tcf(c_187992,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(app(sK59,iPr_def_10),X0)) ),
inference(superposition,[status(thm)],[c_12918,c_67]) ).
tcf(c_187993,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,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_12919,c_67]) ).
tcf(c_187994,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sK60)
| ~ ssList(iPr_def_12)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_12,sK60),X0)) ),
inference(superposition,[status(thm)],[c_12920,c_67]) ).
tcf(c_187995,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_173059,c_67]) ).
tcf(c_187996,plain,
! [X0: $i] :
( segmentP(app(sK60,X0),sK60)
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sK60),X0)) ),
inference(superposition,[status(thm)],[c_172878,c_67]) ).
tcf(c_187997,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_172879,c_67]) ).
tcf(c_187998,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_172880,c_67]) ).
tcf(c_187999,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),iPr_def_13)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,iPr_def_13),X0)) ),
inference(superposition,[status(thm)],[c_172881,c_67]) ).
tcf(c_188000,plain,
! [X0: $i] :
( segmentP(app(sK60,X0),nil)
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(sK60,nil),X0)) ),
inference(superposition,[status(thm)],[c_172963,c_67]) ).
tcf(c_188001,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_172964,c_67]) ).
tcf(c_188002,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_172965,c_67]) ).
tcf(c_188003,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),nil)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_13,nil),X0)) ),
inference(superposition,[status(thm)],[c_172966,c_67]) ).
tcf(c_188004,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_173058,c_67]) ).
tcf(c_188005,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_173235,c_67]) ).
tcf(c_188006,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_173236,c_67]) ).
tcf(c_188007,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_173237,c_67]) ).
tcf(c_188008,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_173238,c_67]) ).
tcf(c_188009,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK60),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ~ ssList(app(app(cons(sK57,sK60),nil),X0)) ),
inference(superposition,[status(thm)],[c_173272,c_67]) ).
tcf(c_188010,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_173273,c_67]) ).
tcf(c_188011,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_173274,c_67]) ).
tcf(c_188012,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_13),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_13))
| ~ ssList(app(app(cons(sK57,iPr_def_13),nil),X0)) ),
inference(superposition,[status(thm)],[c_173275,c_67]) ).
tcf(c_188013,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_173276,c_67]) ).
tcf(c_188014,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_173277,c_67]) ).
tcf(c_188015,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_173278,c_67]) ).
tcf(c_188016,plain,
! [X0: $i] :
( segmentP(app(sK49(sK60),X0),nil)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(sK60))
| ~ ssList(app(app(sK49(sK60),nil),X0)) ),
inference(superposition,[status(thm)],[c_173796,c_67]) ).
tcf(c_188017,plain,
! [X0: $i] :
( segmentP(app(sK49(sK59),X0),nil)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(sK59))
| ~ ssList(app(app(sK49(sK59),nil),X0)) ),
inference(superposition,[status(thm)],[c_173797,c_67]) ).
tcf(c_188018,plain,
! [X0: $i] :
( segmentP(app(sK49(sK56),X0),nil)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(sK56))
| ~ ssList(app(app(sK49(sK56),nil),X0)) ),
inference(superposition,[status(thm)],[c_173798,c_67]) ).
tcf(c_188019,plain,
! [X0: $i] :
( segmentP(app(sK49(iPr_def_13),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_13))
| ~ ssList(app(app(sK49(iPr_def_13),nil),X0)) ),
inference(superposition,[status(thm)],[c_174872,c_67]) ).
tcf(c_188020,plain,
! [X0: $i] :
( segmentP(app(sK49(iPr_def_11),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_11))
| ~ ssList(app(app(sK49(iPr_def_11),nil),X0)) ),
inference(superposition,[status(thm)],[c_175451,c_67]) ).
tcf(c_188021,plain,
! [X0: $i] :
( segmentP(app(sK49(iPr_def_12),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_12))
| ~ ssList(app(app(sK49(iPr_def_12),nil),X0)) ),
inference(superposition,[status(thm)],[c_175986,c_67]) ).
tcf(c_188022,plain,
! [X0: $i] :
( segmentP(app(sK49(iPr_def_10),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_10))
| ~ ssList(app(app(sK49(iPr_def_10),nil),X0)) ),
inference(superposition,[status(thm)],[c_176778,c_67]) ).
tcf(c_188023,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK60),X0),cons(sK57,sK60))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ~ ssList(app(app(nil,cons(sK57,sK60)),X0)) ),
inference(superposition,[status(thm)],[c_174718,c_67]) ).
tcf(c_188024,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_174719,c_67]) ).
tcf(c_188025,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_174720,c_67]) ).
tcf(c_188026,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_13),X0),cons(sK57,iPr_def_13))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_13))
| ~ ssList(app(app(nil,cons(sK57,iPr_def_13)),X0)) ),
inference(superposition,[status(thm)],[c_174721,c_67]) ).
tcf(c_188027,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_174722,c_67]) ).
tcf(c_188028,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_174723,c_67]) ).
tcf(c_188029,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_174724,c_67]) ).
tcf(c_188030,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),sK11(iPr_def_11,sK59))
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,sK59))
| ~ ssList(app(app(sK59,sK11(iPr_def_11,sK59)),X0)) ),
inference(superposition,[status(thm)],[c_177509,c_67]) ).
tcf(c_188031,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),sK11(iPr_def_12,iPr_def_11))
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_11))
| ~ ssList(app(app(iPr_def_11,sK11(iPr_def_12,iPr_def_11)),X0)) ),
inference(superposition,[status(thm)],[c_177508,c_67]) ).
tcf(c_188032,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sK11(iPr_def_13,iPr_def_12))
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_12))
| ~ ssList(app(app(iPr_def_12,sK11(iPr_def_13,iPr_def_12)),X0)) ),
inference(superposition,[status(thm)],[c_177507,c_67]) ).
tcf(c_188033,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_177506,c_67]) ).
tcf(c_188034,plain,
! [X0: $i] :
( segmentP(app(sK60,X0),sK11(sK60,nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK60,nil))
| ~ ssList(app(app(nil,sK11(sK60,nil)),X0)) ),
inference(superposition,[status(thm)],[c_177505,c_67]) ).
tcf(c_188035,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_177504,c_67]) ).
tcf(c_188036,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_177503,c_67]) ).
tcf(c_188037,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sK11(iPr_def_13,nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,nil))
| ~ ssList(app(app(nil,sK11(iPr_def_13,nil)),X0)) ),
inference(superposition,[status(thm)],[c_177502,c_67]) ).
tcf(c_188038,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sK11(iPr_def_13,iPr_def_13))
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_13))
| ~ ssList(app(app(iPr_def_13,sK11(iPr_def_13,iPr_def_13)),X0)) ),
inference(superposition,[status(thm)],[c_177493,c_67]) ).
tcf(c_188039,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_177492,c_67]) ).
tcf(c_188040,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_177491,c_67]) ).
tcf(c_188041,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_177501,c_67]) ).
tcf(c_188042,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_177490,c_67]) ).
tcf(c_188043,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_177500,c_67]) ).
tcf(c_188044,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_10))
| ~ ssList(app(app(sK12(iPr_def_11,iPr_def_10),iPr_def_10),X0)) ),
inference(superposition,[status(thm)],[c_177565,c_67]) ).
tcf(c_188045,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_10))
| ~ ssList(app(app(sK12(iPr_def_12,iPr_def_10),iPr_def_10),X0)) ),
inference(superposition,[status(thm)],[c_177564,c_67]) ).
tcf(c_188046,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sK60)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,sK60))
| ~ ssList(app(app(sK12(iPr_def_13,sK60),sK60),X0)) ),
inference(superposition,[status(thm)],[c_177563,c_67]) ).
tcf(c_188047,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_177552,c_67]) ).
tcf(c_188048,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),iPr_def_13)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,iPr_def_13))
| ~ ssList(app(app(sK12(iPr_def_13,iPr_def_13),iPr_def_13),X0)) ),
inference(superposition,[status(thm)],[c_177548,c_67]) ).
tcf(c_188049,plain,
! [X0: $i] :
( segmentP(app(sK60,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK60,nil))
| ~ ssList(app(app(sK12(sK60,nil),nil),X0)) ),
inference(superposition,[status(thm)],[c_177562,c_67]) ).
tcf(c_188050,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_177561,c_67]) ).
tcf(c_188051,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_177560,c_67]) ).
tcf(c_188052,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,nil))
| ~ ssList(app(app(sK12(iPr_def_13,nil),nil),X0)) ),
inference(superposition,[status(thm)],[c_177559,c_67]) ).
tcf(c_188053,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_177558,c_67]) ).
tcf(c_188054,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_177557,c_67]) ).
tcf(c_188055,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_177547,c_67]) ).
tcf(c_188056,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_177556,c_67]) ).
tcf(c_188057,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_177546,c_67]) ).
tcf(c_188058,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_183614,c_67]) ).
tcf(c_188059,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_183613,c_67]) ).
tcf(c_188060,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_183612,c_67]) ).
tcf(c_188061,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),cons(sK57,sK9(iPr_def_13,sK57)))
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_13,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_13,sK57)))
| ~ ssList(app(app(sK8(iPr_def_13,sK57),cons(sK57,sK9(iPr_def_13,sK57))),X0)) ),
inference(superposition,[status(thm)],[c_183611,c_67]) ).
tcf(c_188062,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_188063,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_188064,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_188065,plain,
! [X0: $i] :
( segmentP(app(nil,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(nil,X0)) ),
inference(light_normalisation,[status(thm)],[c_187989,c_369]) ).
tcf(c_188066,plain,
! [X0: $i] :
( segmentP(app(nil,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(nil,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188065,c_141]) ).
tcf(c_188070,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_188008,c_173238]) ).
tcf(c_188071,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_188070,c_173203,c_141]) ).
tcf(c_188075,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_188007,c_173237]) ).
tcf(c_188076,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_188075,c_173203,c_141]) ).
tcf(c_188080,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_188006,c_173236]) ).
tcf(c_188081,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_188080,c_173202,c_141]) ).
tcf(c_188085,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_188005,c_173235]) ).
tcf(c_188086,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_188085,c_173202,c_141]) ).
tcf(c_188090,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_188004,c_173058]) ).
tcf(c_188091,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_188090,c_173031,c_141]) ).
tcf(c_188095,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),nil)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(light_normalisation,[status(thm)],[c_188003,c_172966]) ).
tcf(c_188096,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188095,c_172540,c_141]) ).
tcf(c_188100,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),nil)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK56,X0)) ),
inference(light_normalisation,[status(thm)],[c_188002,c_172965]) ).
tcf(c_188101,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(sK56,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188100,c_12924,c_141]) ).
tcf(c_188105,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),nil)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK59,X0)) ),
inference(light_normalisation,[status(thm)],[c_188001,c_172964]) ).
tcf(c_188106,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(sK59,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188105,c_12926,c_141]) ).
tcf(c_188110,plain,
! [X0: $i] :
( segmentP(app(sK60,X0),nil)
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK60,X0)) ),
inference(light_normalisation,[status(thm)],[c_188000,c_172963]) ).
tcf(c_188111,plain,
! [X0: $i] :
( segmentP(app(sK60,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(sK60,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188110,c_12927,c_141]) ).
tcf(c_188115,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),iPr_def_13)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(light_normalisation,[status(thm)],[c_187999,c_172881]) ).
tcf(c_188116,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),iPr_def_13)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188115,c_172540,c_141]) ).
tcf(c_188120,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK56)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK56,X0)) ),
inference(light_normalisation,[status(thm)],[c_187998,c_172880]) ).
tcf(c_188121,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK56)
| ~ ssList(X0)
| ~ ssList(app(sK56,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188120,c_12924,c_141]) ).
tcf(c_188125,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK59)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK59,X0)) ),
inference(light_normalisation,[status(thm)],[c_187997,c_172879]) ).
tcf(c_188126,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK59)
| ~ ssList(X0)
| ~ ssList(app(sK59,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188125,c_12926,c_141]) ).
tcf(c_188130,plain,
! [X0: $i] :
( segmentP(app(sK60,X0),sK60)
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK60,X0)) ),
inference(light_normalisation,[status(thm)],[c_187996,c_172878]) ).
tcf(c_188131,plain,
! [X0: $i] :
( segmentP(app(sK60,X0),sK60)
| ~ ssList(X0)
| ~ ssList(app(sK60,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188130,c_12927,c_141]) ).
tcf(c_188135,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_187995,c_173059]) ).
tcf(c_188136,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_188135,c_173031,c_141]) ).
tcf(c_188140,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sK60)
| ~ ssList(iPr_def_12)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(light_normalisation,[status(thm)],[c_187994,c_12920]) ).
tcf(c_188141,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sK60)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188140,c_173203,c_12927]) ).
tcf(c_188145,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),iPr_def_10)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_12,X0)) ),
inference(light_normalisation,[status(thm)],[c_187993,c_12919]) ).
tcf(c_188146,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),iPr_def_10)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_12,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188145,c_173202,c_173031]) ).
tcf(c_188150,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_11,X0)) ),
inference(light_normalisation,[status(thm)],[c_187992,c_12918]) ).
tcf(c_188151,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),iPr_def_10)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_11,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188150,c_173031,c_12926]) ).
tcf(c_188155,plain,
! [X0: $i] :
( segmentP(app(sK49(iPr_def_10),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_10))
| ~ ssList(app(sK49(iPr_def_10),X0)) ),
inference(light_normalisation,[status(thm)],[c_188022,c_176778]) ).
tcf(c_188156,plain,
! [X0: $i] :
( segmentP(app(sK49(iPr_def_10),X0),nil)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_10))
| ~ ssList(app(sK49(iPr_def_10),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188155,c_141]) ).
tcf(c_188161,plain,
! [X0: $i] :
( segmentP(app(sK49(iPr_def_12),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_12))
| ~ ssList(app(sK49(iPr_def_12),X0)) ),
inference(light_normalisation,[status(thm)],[c_188021,c_175986]) ).
tcf(c_188162,plain,
! [X0: $i] :
( segmentP(app(sK49(iPr_def_12),X0),nil)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_12))
| ~ ssList(app(sK49(iPr_def_12),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188161,c_141]) ).
tcf(c_188167,plain,
! [X0: $i] :
( segmentP(app(sK49(iPr_def_11),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_11))
| ~ ssList(app(sK49(iPr_def_11),X0)) ),
inference(light_normalisation,[status(thm)],[c_188020,c_175451]) ).
tcf(c_188168,plain,
! [X0: $i] :
( segmentP(app(sK49(iPr_def_11),X0),nil)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_11))
| ~ ssList(app(sK49(iPr_def_11),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188167,c_141]) ).
tcf(c_188173,plain,
! [X0: $i] :
( segmentP(app(sK49(iPr_def_13),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_13))
| ~ ssList(app(sK49(iPr_def_13),X0)) ),
inference(light_normalisation,[status(thm)],[c_188019,c_174872]) ).
tcf(c_188174,plain,
! [X0: $i] :
( segmentP(app(sK49(iPr_def_13),X0),nil)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_13))
| ~ ssList(app(sK49(iPr_def_13),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188173,c_141]) ).
tcf(c_188179,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_188057,c_177546]) ).
tcf(c_188180,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_188179,c_173203]) ).
tcf(c_188185,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_188056,c_177556]) ).
tcf(c_188186,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_188185,c_141]) ).
tcf(c_188191,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_188055,c_177547]) ).
tcf(c_188192,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_188191,c_173202]) ).
tcf(c_188197,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_188054,c_177557]) ).
tcf(c_188198,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_188197,c_141]) ).
tcf(c_188203,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_188053,c_177558]) ).
tcf(c_188204,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_188203,c_141]) ).
tcf(c_188209,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,nil))
| ~ ssList(app(iPr_def_13,X0)) ),
inference(light_normalisation,[status(thm)],[c_188052,c_177559]) ).
tcf(c_188210,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),nil)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,nil))
| ~ ssList(app(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188209,c_141]) ).
tcf(c_188215,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_188051,c_177560]) ).
tcf(c_188216,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_188215,c_141]) ).
tcf(c_188221,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_188050,c_177561]) ).
tcf(c_188222,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_188221,c_141]) ).
tcf(c_188227,plain,
! [X0: $i] :
( segmentP(app(sK60,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK60,nil))
| ~ ssList(app(sK60,X0)) ),
inference(light_normalisation,[status(thm)],[c_188049,c_177562]) ).
tcf(c_188228,plain,
! [X0: $i] :
( segmentP(app(sK60,X0),nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK60,nil))
| ~ ssList(app(sK60,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188227,c_141]) ).
tcf(c_188233,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),iPr_def_13)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,iPr_def_13))
| ~ ssList(app(iPr_def_13,X0)) ),
inference(light_normalisation,[status(thm)],[c_188048,c_177548]) ).
tcf(c_188234,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),iPr_def_13)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,iPr_def_13))
| ~ ssList(app(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188233,c_172540]) ).
tcf(c_188239,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_188047,c_177552]) ).
tcf(c_188240,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_188239,c_173031]) ).
tcf(c_188245,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sK60)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,sK60))
| ~ ssList(app(iPr_def_13,X0)) ),
inference(light_normalisation,[status(thm)],[c_188046,c_177563]) ).
tcf(c_188246,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sK60)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,sK60))
| ~ ssList(app(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188245,c_12927]) ).
tcf(c_188251,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_10))
| ~ ssList(app(iPr_def_12,X0)) ),
inference(light_normalisation,[status(thm)],[c_188045,c_177564]) ).
tcf(c_188252,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_10))
| ~ ssList(app(iPr_def_12,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188251,c_173031]) ).
tcf(c_188257,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_10))
| ~ ssList(app(iPr_def_11,X0)) ),
inference(light_normalisation,[status(thm)],[c_188044,c_177565]) ).
tcf(c_188258,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_10))
| ~ ssList(app(iPr_def_11,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188257,c_173031]) ).
tcf(c_188263,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_187990,c_177553]) ).
tcf(c_188264,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_188263,c_141]) ).
tcf(c_188269,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_188043,c_177500]) ).
tcf(c_188270,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_188269,c_141]) ).
tcf(c_188275,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_188042,c_177490]) ).
tcf(c_188276,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_188275,c_173203]) ).
tcf(c_188281,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_188041,c_177501]) ).
tcf(c_188282,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_188281,c_141]) ).
tcf(c_188287,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_188040,c_177491]) ).
tcf(c_188288,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_188287,c_173202]) ).
tcf(c_188293,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_188039,c_177492]) ).
tcf(c_188294,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_188293,c_173031]) ).
tcf(c_188299,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sK11(iPr_def_13,iPr_def_13))
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_13))
| ~ ssList(app(iPr_def_13,X0)) ),
inference(light_normalisation,[status(thm)],[c_188038,c_177493]) ).
tcf(c_188300,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sK11(iPr_def_13,iPr_def_13))
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_13))
| ~ ssList(app(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188299,c_172540]) ).
tcf(c_188305,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sK11(iPr_def_13,nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,nil))
| ~ ssList(app(iPr_def_13,X0)) ),
inference(light_normalisation,[status(thm)],[c_188037,c_177502]) ).
tcf(c_188306,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sK11(iPr_def_13,nil))
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,nil))
| ~ ssList(app(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188305,c_141]) ).
tcf(c_188311,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_188036,c_177503]) ).
tcf(c_188312,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_188311,c_141]) ).
tcf(c_188317,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_188035,c_177504]) ).
tcf(c_188318,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_188317,c_141]) ).
tcf(c_188323,plain,
! [X0: $i] :
( segmentP(app(sK60,X0),sK11(sK60,nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK60,nil))
| ~ ssList(app(sK60,X0)) ),
inference(light_normalisation,[status(thm)],[c_188034,c_177505]) ).
tcf(c_188324,plain,
! [X0: $i] :
( segmentP(app(sK60,X0),sK11(sK60,nil))
| ~ ssList(X0)
| ~ ssList(sK11(sK60,nil))
| ~ ssList(app(sK60,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188323,c_141]) ).
tcf(c_188329,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_188033,c_177506]) ).
tcf(c_188330,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_188329,c_141]) ).
tcf(c_188335,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sK11(iPr_def_13,iPr_def_12))
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_12))
| ~ ssList(app(iPr_def_13,X0)) ),
inference(light_normalisation,[status(thm)],[c_188032,c_177507]) ).
tcf(c_188336,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sK11(iPr_def_13,iPr_def_12))
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_12))
| ~ ssList(app(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188335,c_173203]) ).
tcf(c_188341,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),sK11(iPr_def_12,iPr_def_11))
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_11))
| ~ ssList(app(iPr_def_12,X0)) ),
inference(light_normalisation,[status(thm)],[c_188031,c_177508]) ).
tcf(c_188342,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),sK11(iPr_def_12,iPr_def_11))
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_11))
| ~ ssList(app(iPr_def_12,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188341,c_173202]) ).
tcf(c_188347,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),sK11(iPr_def_11,sK59))
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,sK59))
| ~ ssList(app(iPr_def_11,X0)) ),
inference(light_normalisation,[status(thm)],[c_188030,c_177509]) ).
tcf(c_188348,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),sK11(iPr_def_11,sK59))
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,sK59))
| ~ ssList(app(iPr_def_11,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188347,c_12926]) ).
tcf(c_188353,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_188015,c_173278]) ).
tcf(c_188354,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X0),nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_10))
| ~ ssList(app(cons(sK57,iPr_def_10),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188353,c_141]) ).
tcf(c_188359,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_188014,c_173277]) ).
tcf(c_188360,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_12),X0),nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ ssList(app(cons(sK57,iPr_def_12),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188359,c_141]) ).
tcf(c_188365,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_188013,c_173276]) ).
tcf(c_188366,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_11),X0),nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_11))
| ~ ssList(app(cons(sK57,iPr_def_11),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188365,c_141]) ).
tcf(c_188371,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_13),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_13))
| ~ ssList(app(cons(sK57,iPr_def_13),X0)) ),
inference(light_normalisation,[status(thm)],[c_188012,c_173275]) ).
tcf(c_188372,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_13),X0),nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_13))
| ~ ssList(app(cons(sK57,iPr_def_13),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188371,c_141]) ).
tcf(c_188377,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_188011,c_173274]) ).
tcf(c_188378,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK56),X0),nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ ssList(app(cons(sK57,sK56),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188377,c_141]) ).
tcf(c_188383,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_188010,c_173273]) ).
tcf(c_188384,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK59),X0),nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ ssList(app(cons(sK57,sK59),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188383,c_141]) ).
tcf(c_188389,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK60),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ~ ssList(app(cons(sK57,sK60),X0)) ),
inference(light_normalisation,[status(thm)],[c_188009,c_173272]) ).
tcf(c_188390,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK60),X0),nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ~ ssList(app(cons(sK57,sK60),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188389,c_141]) ).
tcf(c_188395,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_187991,c_177497]) ).
tcf(c_188396,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_188395,c_141]) ).
tcf(c_188401,plain,
! [X0: $i] :
( segmentP(app(sK49(sK56),X0),nil)
| ( nil = sK56 )
| ~ ssList(X0)
| ~ ssList(sK49(sK56))
| ~ ssList(app(app(sK49(sK56),nil),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188018,c_141]) ).
tcf(c_188407,plain,
! [X0: $i] :
( segmentP(app(sK49(sK59),X0),nil)
| ( nil = sK59 )
| ~ ssList(X0)
| ~ ssList(sK49(sK59))
| ~ ssList(app(app(sK49(sK59),nil),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188017,c_141]) ).
tcf(c_188413,plain,
! [X0: $i] :
( segmentP(app(sK49(sK60),X0),nil)
| ( nil = sK60 )
| ~ ssList(X0)
| ~ ssList(sK49(sK60))
| ~ ssList(app(app(sK49(sK60),nil),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188016,c_141]) ).
tcf(c_188419,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_188029,c_174724]) ).
tcf(c_188420,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X0),cons(sK57,iPr_def_10))
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_10))
| ~ ssList(app(cons(sK57,iPr_def_10),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188419,c_141]) ).
tcf(c_188425,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_188028,c_174723]) ).
tcf(c_188426,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_12),X0),cons(sK57,iPr_def_12))
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ ssList(app(cons(sK57,iPr_def_12),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188425,c_141]) ).
tcf(c_188431,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_188027,c_174722]) ).
tcf(c_188432,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_11),X0),cons(sK57,iPr_def_11))
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_11))
| ~ ssList(app(cons(sK57,iPr_def_11),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188431,c_141]) ).
tcf(c_188437,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_13),X0),cons(sK57,iPr_def_13))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_13))
| ~ ssList(app(cons(sK57,iPr_def_13),X0)) ),
inference(light_normalisation,[status(thm)],[c_188026,c_174721]) ).
tcf(c_188438,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_13),X0),cons(sK57,iPr_def_13))
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_13))
| ~ ssList(app(cons(sK57,iPr_def_13),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188437,c_141]) ).
tcf(c_188443,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_188025,c_174720]) ).
tcf(c_188444,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK56),X0),cons(sK57,sK56))
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ ssList(app(cons(sK57,sK56),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188443,c_141]) ).
tcf(c_188449,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_188024,c_174719]) ).
tcf(c_188450,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK59),X0),cons(sK57,sK59))
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ ssList(app(cons(sK57,sK59),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188449,c_141]) ).
tcf(c_188455,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK60),X0),cons(sK57,sK60))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ~ ssList(app(cons(sK57,sK60),X0)) ),
inference(light_normalisation,[status(thm)],[c_188023,c_174718]) ).
tcf(c_188456,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK60),X0),cons(sK57,sK60))
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ~ ssList(app(cons(sK57,sK60),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188455,c_141]) ).
tcf(c_188474,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),cons(sK57,sK9(iPr_def_13,sK57)))
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_13,sK57))
| ~ ssList(app(iPr_def_13,X0))
| ~ ssList(cons(sK57,sK9(iPr_def_13,sK57))) ),
inference(light_normalisation,[status(thm)],[c_188061,c_183611]) ).
tcf(c_188480,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_188060,c_183612]) ).
tcf(c_188486,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_188059,c_183613]) ).
tcf(c_188492,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_188058,c_183614]) ).
tcf(c_188755,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_188757,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,X1)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_12917,c_179]) ).
tcf(c_188758,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_13))
| ~ frontsegP(iPr_def_13,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_174042,c_179]) ).
tcf(c_188759,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_174048,c_179]) ).
tcf(c_188760,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK49(sK60),X1)
| ( nil = sK60 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ~ frontsegP(sK60,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_176051,c_179]) ).
tcf(c_188761,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_176052,c_179]) ).
tcf(c_188762,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_176053,c_179]) ).
tcf(c_188763,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_176061,c_179]) ).
tcf(c_188764,plain,
! [X0: $i,X1: $i] :
( frontsegP(tl(sK60),X1)
| ( nil = sK60 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ~ frontsegP(sK60,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_176242,c_179]) ).
tcf(c_188765,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_176243,c_179]) ).
tcf(c_188766,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_176244,c_179]) ).
tcf(c_188767,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,nil)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(cons(X0,X1),iPr_def_10) ),
inference(superposition,[status(thm)],[c_12917,c_179]) ).
tcf(c_188768,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_13))
| ~ frontsegP(cons(X0,X1),iPr_def_13) ),
inference(superposition,[status(thm)],[c_174042,c_179]) ).
tcf(c_188769,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_174048,c_179]) ).
tcf(c_188770,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,sK49(sK60))
| ( nil = sK60 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ~ frontsegP(cons(X0,X1),sK60) ),
inference(superposition,[status(thm)],[c_176051,c_179]) ).
tcf(c_188771,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_176052,c_179]) ).
tcf(c_188772,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_176053,c_179]) ).
tcf(c_188773,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_176061,c_179]) ).
tcf(c_188774,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,tl(sK60))
| ( nil = sK60 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ~ frontsegP(cons(X0,X1),sK60) ),
inference(superposition,[status(thm)],[c_176242,c_179]) ).
tcf(c_188775,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_176243,c_179]) ).
tcf(c_188776,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_176244,c_179]) ).
tcf(c_188781,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_188767,c_141,c_12925]) ).
tcf(c_188786,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_188757,c_141,c_12925]) ).
tcf(c_188791,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_188769,c_141]) ).
tcf(c_188797,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,nil)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_13))
| ~ frontsegP(cons(X0,X1),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188768,c_141]) ).
tcf(c_188803,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_188759,c_141]) ).
tcf(c_188809,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_13))
| ~ frontsegP(iPr_def_13,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188758,c_141]) ).
tcf(c_188941,plain,
! [X0: $i,X1: $i] :
( segmentP(app(nil,X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_369,c_193]) ).
tcf(c_188942,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_177553,c_193]) ).
tcf(c_188943,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_177497,c_193]) ).
tcf(c_188944,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_11,X1),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_12918,c_193]) ).
tcf(c_188945,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_12919,c_193]) ).
tcf(c_188946,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sK60)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(superposition,[status(thm)],[c_12920,c_193]) ).
tcf(c_188947,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_173059,c_193]) ).
tcf(c_188948,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK60,X1),X0)
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(superposition,[status(thm)],[c_172878,c_193]) ).
tcf(c_188949,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_172879,c_193]) ).
tcf(c_188950,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_172880,c_193]) ).
tcf(c_188951,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_172881,c_193]) ).
tcf(c_188952,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK60,X1),X0)
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_172963,c_193]) ).
tcf(c_188953,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_172964,c_193]) ).
tcf(c_188954,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_172965,c_193]) ).
tcf(c_188955,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_172966,c_193]) ).
tcf(c_188956,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_173058,c_193]) ).
tcf(c_188957,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_173235,c_193]) ).
tcf(c_188958,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_173236,c_193]) ).
tcf(c_188959,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_173237,c_193]) ).
tcf(c_188960,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_173238,c_193]) ).
tcf(c_188961,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK60),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_173272,c_193]) ).
tcf(c_188962,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_173273,c_193]) ).
tcf(c_188963,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_173274,c_193]) ).
tcf(c_188964,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_13),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_173275,c_193]) ).
tcf(c_188965,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_173276,c_193]) ).
tcf(c_188966,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_173277,c_193]) ).
tcf(c_188967,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_173278,c_193]) ).
tcf(c_188968,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK49(sK60),X1),X0)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(sK60))
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_173796,c_193]) ).
tcf(c_188969,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK49(sK59),X1),X0)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(sK59))
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_173797,c_193]) ).
tcf(c_188970,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK49(sK56),X1),X0)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(sK56))
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_173798,c_193]) ).
tcf(c_188971,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK49(iPr_def_13),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_13))
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_174872,c_193]) ).
tcf(c_188972,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK49(iPr_def_11),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_11))
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_175451,c_193]) ).
tcf(c_188973,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK49(iPr_def_12),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_12))
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_175986,c_193]) ).
tcf(c_188974,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK49(iPr_def_10),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_10))
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_176778,c_193]) ).
tcf(c_188975,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK60),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ~ segmentP(cons(sK57,sK60),X0) ),
inference(superposition,[status(thm)],[c_174718,c_193]) ).
tcf(c_188976,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_174719,c_193]) ).
tcf(c_188977,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_174720,c_193]) ).
tcf(c_188978,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_13),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_13))
| ~ segmentP(cons(sK57,iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_174721,c_193]) ).
tcf(c_188979,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_174722,c_193]) ).
tcf(c_188980,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_174723,c_193]) ).
tcf(c_188981,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_174724,c_193]) ).
tcf(c_188982,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_11,X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,sK59))
| ~ segmentP(sK11(iPr_def_11,sK59),X0) ),
inference(superposition,[status(thm)],[c_177509,c_193]) ).
tcf(c_188983,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_11))
| ~ segmentP(sK11(iPr_def_12,iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_177508,c_193]) ).
tcf(c_188984,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_12))
| ~ segmentP(sK11(iPr_def_13,iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_177507,c_193]) ).
tcf(c_188985,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_177506,c_193]) ).
tcf(c_188986,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK60,X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(sK60,nil))
| ~ segmentP(sK11(sK60,nil),X0) ),
inference(superposition,[status(thm)],[c_177505,c_193]) ).
tcf(c_188987,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_177504,c_193]) ).
tcf(c_188988,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_177503,c_193]) ).
tcf(c_188989,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,nil))
| ~ segmentP(sK11(iPr_def_13,nil),X0) ),
inference(superposition,[status(thm)],[c_177502,c_193]) ).
tcf(c_188990,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(iPr_def_13)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_13))
| ~ segmentP(sK11(iPr_def_13,iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_177493,c_193]) ).
tcf(c_188991,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_177492,c_193]) ).
tcf(c_188992,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_177491,c_193]) ).
tcf(c_188993,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_177501,c_193]) ).
tcf(c_188994,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_177490,c_193]) ).
tcf(c_188995,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_177500,c_193]) ).
tcf(c_188996,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_11,X1),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_177565,c_193]) ).
tcf(c_188997,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_177564,c_193]) ).
tcf(c_188998,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(sK60)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(sK12(iPr_def_13,sK60)) ),
inference(superposition,[status(thm)],[c_177563,c_193]) ).
tcf(c_188999,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_177552,c_193]) ).
tcf(c_189000,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(iPr_def_13)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_13,X0)
| ~ ssList(sK12(iPr_def_13,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_177548,c_193]) ).
tcf(c_189001,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK60,X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK12(sK60,nil)) ),
inference(superposition,[status(thm)],[c_177562,c_193]) ).
tcf(c_189002,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_177561,c_193]) ).
tcf(c_189003,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_177560,c_193]) ).
tcf(c_189004,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK12(iPr_def_13,nil)) ),
inference(superposition,[status(thm)],[c_177559,c_193]) ).
tcf(c_189005,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_177558,c_193]) ).
tcf(c_189006,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_177557,c_193]) ).
tcf(c_189007,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_177547,c_193]) ).
tcf(c_189008,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_177556,c_193]) ).
tcf(c_189009,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_177546,c_193]) ).
tcf(c_189010,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_183614,c_193]) ).
tcf(c_189011,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_183613,c_193]) ).
tcf(c_189012,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_183612,c_193]) ).
tcf(c_189013,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_13,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_13,sK57)))
| ~ segmentP(cons(sK57,sK9(iPr_def_13,sK57)),X0) ),
inference(superposition,[status(thm)],[c_183611,c_193]) ).
tcf(c_189014,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_189015,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_189016,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_189017,plain,
! [X0: $i,X1: $i] :
( segmentP(app(nil,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188941,c_141]) ).
tcf(c_189022,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_188960,c_173203,c_141]) ).
tcf(c_189027,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_188959,c_173203,c_141]) ).
tcf(c_189032,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_188958,c_173202,c_141]) ).
tcf(c_189037,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_188957,c_173202,c_141]) ).
tcf(c_189042,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_188956,c_173031,c_141]) ).
tcf(c_189047,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188955,c_172540,c_141]) ).
tcf(c_189052,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188954,c_12924,c_141]) ).
tcf(c_189057,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188953,c_12926,c_141]) ).
tcf(c_189062,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK60,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188952,c_12927,c_141]) ).
tcf(c_189067,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188951,c_172540,c_141]) ).
tcf(c_189072,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188950,c_12924,c_141]) ).
tcf(c_189077,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188949,c_12926,c_141]) ).
tcf(c_189082,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK60,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188948,c_12927,c_141]) ).
tcf(c_189087,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_188947,c_173031,c_141]) ).
tcf(c_189092,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188946,c_173203,c_12927]) ).
tcf(c_189097,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188945,c_173202,c_173031]) ).
tcf(c_189102,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_11,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188944,c_173031,c_12926]) ).
tcf(c_189121,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK49(iPr_def_10),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_10))
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188974,c_141]) ).
tcf(c_189127,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK49(iPr_def_12),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_12))
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188973,c_141]) ).
tcf(c_189133,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK49(iPr_def_11),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_11))
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188972,c_141]) ).
tcf(c_189139,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK49(iPr_def_13),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_13))
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188971,c_141]) ).
tcf(c_189146,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_188995,c_141]) ).
tcf(c_189152,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_188994,c_173203]) ).
tcf(c_189158,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_188993,c_141]) ).
tcf(c_189164,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_188992,c_173202]) ).
tcf(c_189170,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_188991,c_173031]) ).
tcf(c_189176,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_13))
| ~ segmentP(sK11(iPr_def_13,iPr_def_13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188990,c_172540]) ).
tcf(c_189182,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,nil))
| ~ segmentP(sK11(iPr_def_13,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188989,c_141]) ).
tcf(c_189188,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_188988,c_141]) ).
tcf(c_189194,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_188987,c_141]) ).
tcf(c_189200,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK60,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(sK60,nil))
| ~ segmentP(sK11(sK60,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188986,c_141]) ).
tcf(c_189206,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_188985,c_141]) ).
tcf(c_189212,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_12))
| ~ segmentP(sK11(iPr_def_13,iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188984,c_173203]) ).
tcf(c_189218,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_11))
| ~ segmentP(sK11(iPr_def_12,iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188983,c_173202]) ).
tcf(c_189224,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_11,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,sK59))
| ~ segmentP(sK11(iPr_def_11,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188982,c_12926]) ).
tcf(c_189230,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188967,c_141]) ).
tcf(c_189236,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_12),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188966,c_141]) ).
tcf(c_189242,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_11),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188965,c_141]) ).
tcf(c_189248,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_13),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188964,c_141]) ).
tcf(c_189254,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK56),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188963,c_141]) ).
tcf(c_189260,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK59),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188962,c_141]) ).
tcf(c_189266,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK60),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188961,c_141]) ).
tcf(c_189272,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_188943,c_141]) ).
tcf(c_189278,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_10))
| ~ segmentP(cons(sK57,iPr_def_10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188981,c_141]) ).
tcf(c_189284,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_12),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ segmentP(cons(sK57,iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188980,c_141]) ).
tcf(c_189290,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_11),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_11))
| ~ segmentP(cons(sK57,iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188979,c_141]) ).
tcf(c_189296,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_13),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_13))
| ~ segmentP(cons(sK57,iPr_def_13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188978,c_141]) ).
tcf(c_189302,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK56),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ segmentP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188977,c_141]) ).
tcf(c_189308,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK59),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ segmentP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188976,c_141]) ).
tcf(c_189314,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK60),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ~ segmentP(cons(sK57,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188975,c_141]) ).
tcf(c_189320,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK49(sK56),X1),X0)
| ( nil = sK56 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(sK56))
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188970,c_141]) ).
tcf(c_189327,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK49(sK59),X1),X0)
| ( nil = sK59 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(sK59))
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188969,c_141]) ).
tcf(c_189334,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK49(sK60),X1),X0)
| ( nil = sK60 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(sK60))
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188968,c_141]) ).
tcf(c_189514,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_12917,c_178]) ).
tcf(c_189515,plain,
! [X0: $i,X1: $i] :
( ( sK10(iPr_def_13) = X0 )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_13))
| ~ frontsegP(iPr_def_13,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_174042,c_178]) ).
tcf(c_189516,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_174048,c_178]) ).
tcf(c_189517,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( sK50(sK60) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ~ frontsegP(sK60,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_176051,c_178]) ).
tcf(c_189518,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_176052,c_178]) ).
tcf(c_189519,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_176053,c_178]) ).
tcf(c_189520,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_176061,c_178]) ).
tcf(c_189521,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( hd(sK60) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ~ frontsegP(sK60,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_176242,c_178]) ).
tcf(c_189522,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_176243,c_178]) ).
tcf(c_189523,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_176244,c_178]) ).
tcf(c_189524,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(cons(X0,X1),iPr_def_10) ),
inference(superposition,[status(thm)],[c_12917,c_178]) ).
tcf(c_189525,plain,
! [X0: $i,X1: $i] :
( ( sK10(iPr_def_13) = X0 )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_13))
| ~ frontsegP(cons(X0,X1),iPr_def_13) ),
inference(superposition,[status(thm)],[c_174042,c_178]) ).
tcf(c_189526,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_174048,c_178]) ).
tcf(c_189527,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( sK50(sK60) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ~ frontsegP(cons(X0,X1),sK60) ),
inference(superposition,[status(thm)],[c_176051,c_178]) ).
tcf(c_189528,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_176052,c_178]) ).
tcf(c_189529,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_176053,c_178]) ).
tcf(c_189530,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_176061,c_178]) ).
tcf(c_189531,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( hd(sK60) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ~ frontsegP(cons(X0,X1),sK60) ),
inference(superposition,[status(thm)],[c_176242,c_178]) ).
tcf(c_189532,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_176243,c_178]) ).
tcf(c_189533,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_176244,c_178]) ).
tcf(c_189534,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(cons(X0,X1),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189524,c_141,c_12925]) ).
tcf(c_189539,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189514,c_141,c_12925]) ).
tcf(c_189544,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_189526,c_141]) ).
tcf(c_189550,plain,
! [X0: $i,X1: $i] :
( ( sK10(iPr_def_13) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_13))
| ~ frontsegP(cons(X0,X1),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189525,c_141]) ).
tcf(c_189556,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_189516,c_141]) ).
tcf(c_189562,plain,
! [X0: $i,X1: $i] :
( ( sK10(iPr_def_13) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_13))
| ~ frontsegP(iPr_def_13,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189515,c_141]) ).
tcf(c_189695,plain,
~ frontsegP(iPr_def_11,iPr_def_12),
inference(global_subsumption_just,[status(thm)],[c_178434,c_22147,c_31573,c_36948]) ).
tcf(c_189707,plain,
( segmentP(sK56,sK56)
| ~ ssList(nil)
| ~ ssList(app(sK56,nil)) ),
inference(superposition,[status(thm)],[c_172965,c_188121]) ).
tcf(c_189708,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_188121,c_70]) ).
tcf(c_189709,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_188121,c_190]) ).
tcf(c_189710,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_188121,c_191]) ).
tcf(c_189711,plain,
( segmentP(sK56,sK56)
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_189707,c_172965]) ).
tcf(c_189712,plain,
segmentP(sK56,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_189711,c_12924,c_141]) ).
tcf(c_189713,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_189710,c_12924]) ).
tcf(c_189718,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_189709,c_12924]) ).
tcf(c_189724,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_189708,c_12924]) ).
tcf(c_189728,plain,
( ( app(app(sK13(sK56,sK56),sK56),sK14(sK56,sK56)) = sK56 )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_189712,c_70]) ).
tcf(c_189731,plain,
app(app(sK13(sK56,sK56),sK56),sK14(sK56,sK56)) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_189728,c_12924]) ).
tcf(c_189732,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_189731,c_67]) ).
tcf(c_189735,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_189731,c_167]) ).
tcf(c_189736,plain,
( ( app(sK13(sK56,sK56),sK56) = nil )
| ~ ssList(sK14(sK56,sK56))
| ~ ssList(app(sK13(sK56,sK56),sK56))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_189731,c_231]) ).
tcf(c_189737,plain,
( ( sK14(sK56,sK56) = nil )
| ~ ssList(sK14(sK56,sK56))
| ~ ssList(app(sK13(sK56,sK56),sK56))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_189731,c_230]) ).
tcf(c_189738,plain,
( frontsegP(sK56,app(sK13(sK56,sK56),sK56))
| ~ ssList(sK14(sK56,sK56))
| ~ ssList(app(sK13(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_189731,c_378]) ).
tcf(c_189739,plain,
( rearsegP(sK56,sK14(sK56,sK56))
| ~ ssList(sK14(sK56,sK56))
| ~ ssList(app(sK13(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_189731,c_375]) ).
tcf(c_189741,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_189731,c_225]) ).
tcf(c_189743,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_189731,c_226]) ).
tcf(c_189744,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_189731,c_176]) ).
tcf(c_189745,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_189731,c_165]) ).
tcf(c_189746,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_189731,c_193]) ).
tcf(c_189747,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_189731,c_186]) ).
tcf(c_189748,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_189731,c_166]) ).
tcf(c_189806,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_189732,c_189731]) ).
tcf(c_189825,plain,
( segmentP(iPr_def_11,sK59)
| ~ ssList(iPr_def_10)
| ~ ssList(app(sK59,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_12918,c_188126]) ).
tcf(c_189826,plain,
( segmentP(sK59,sK59)
| ~ ssList(nil)
| ~ ssList(app(sK59,nil)) ),
inference(superposition,[status(thm)],[c_172964,c_188126]) ).
tcf(c_189828,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_188126,c_70]) ).
tcf(c_189829,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_188126,c_190]) ).
tcf(c_189830,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_188126,c_191]) ).
tcf(c_189831,plain,
( segmentP(sK59,sK59)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_189826,c_172964]) ).
tcf(c_189832,plain,
segmentP(sK59,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_189831,c_12926,c_141]) ).
tcf(c_189833,plain,
( segmentP(iPr_def_11,sK59)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_189825,c_12918]) ).
tcf(c_189834,plain,
segmentP(iPr_def_11,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_189833,c_173202,c_173031]) ).
tcf(c_189835,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_189830,c_12926]) ).
tcf(c_189840,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_189829,c_12926]) ).
tcf(c_189846,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_189828,c_12926]) ).
tcf(c_189850,plain,
( ( app(app(sK13(sK59,sK59),sK59),sK14(sK59,sK59)) = sK59 )
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_189832,c_70]) ).
tcf(c_189853,plain,
app(app(sK13(sK59,sK59),sK59),sK14(sK59,sK59)) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_189850,c_12926]) ).
tcf(c_189858,plain,
( memberP(cons(sK57,tl(sK60)),sK57)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(tl(sK60))
| ~ ssList(app(nil,cons(sK57,tl(sK60)))) ),
inference(superposition,[status(thm)],[c_175806,c_54]) ).
tcf(c_189859,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,tl(sK60)),X0),cons(sK57,tl(sK60)))
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK60)))
| ~ ssList(app(app(nil,cons(sK57,tl(sK60))),X0)) ),
inference(superposition,[status(thm)],[c_175806,c_67]) ).
tcf(c_189865,plain,
( frontsegP(cons(sK57,tl(sK60)),nil)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(cons(sK57,tl(sK60))) ),
inference(superposition,[status(thm)],[c_175806,c_378]) ).
tcf(c_189866,plain,
( rearsegP(cons(sK57,tl(sK60)),cons(sK57,tl(sK60)))
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(cons(sK57,tl(sK60))) ),
inference(superposition,[status(thm)],[c_175806,c_375]) ).
tcf(c_189868,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK60)))
| ( app(X0,cons(sK57,tl(sK60))) != cons(sK57,tl(sK60)) ) ),
inference(superposition,[status(thm)],[c_175806,c_225]) ).
tcf(c_189869,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( cons(sK57,tl(sK60)) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK60)))
| ( cons(sK57,tl(sK60)) != app(nil,X0) ) ),
inference(superposition,[status(thm)],[c_175806,c_226]) ).
tcf(c_189870,plain,
! [X0: $i] :
( frontsegP(cons(sK57,tl(sK60)),X0)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,tl(sK60))) ),
inference(superposition,[status(thm)],[c_175806,c_176]) ).
tcf(c_189872,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,tl(sK60)),X1),X0)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK60)))
| ~ segmentP(cons(sK57,tl(sK60)),X0) ),
inference(superposition,[status(thm)],[c_175806,c_193]) ).
tcf(c_189875,plain,
( frontsegP(cons(sK57,tl(sK60)),nil)
| ( nil = sK60 )
| ~ ssList(cons(sK57,tl(sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189865,c_141]) ).
tcf(c_189879,plain,
( rearsegP(cons(sK57,tl(sK60)),cons(sK57,tl(sK60)))
| ( nil = sK60 )
| ~ ssList(cons(sK57,tl(sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189866,c_141]) ).
tcf(c_189883,plain,
! [X0: $i] :
( frontsegP(cons(sK57,tl(sK60)),X0)
| ( nil = sK60 )
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,tl(sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189870,c_141]) ).
tcf(c_189889,plain,
( memberP(cons(sK57,tl(sK60)),sK57)
| ( nil = sK60 )
| ~ ssList(tl(sK60))
| ~ ssList(app(nil,cons(sK57,tl(sK60)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189858,c_141,c_12925]) ).
tcf(c_189894,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( cons(sK57,tl(sK60)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK60)))
| ( cons(sK57,tl(sK60)) != app(nil,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189869,c_141]) ).
tcf(c_189900,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK60)))
| ( app(X0,cons(sK57,tl(sK60))) != cons(sK57,tl(sK60)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189868,c_141]) ).
tcf(c_189906,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,tl(sK60)),X1),X0)
| ( nil = sK60 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK60)))
| ~ segmentP(cons(sK57,tl(sK60)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189872,c_141]) ).
tcf(c_189913,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,tl(sK60)),X0),cons(sK57,tl(sK60)))
| ( nil = sK60 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK60)))
| ~ ssList(app(app(nil,cons(sK57,tl(sK60))),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189859,c_141]) ).
tcf(c_189971,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_12917,c_143]) ).
tcf(c_189972,plain,
! [X0: $i,X1: $i] :
( ( sK10(iPr_def_13) = X0 )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_13))
| ( cons(X0,X1) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_174042,c_143]) ).
tcf(c_189973,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_174048,c_143]) ).
tcf(c_189974,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( sK50(sK60) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ( cons(X0,X1) != sK60 ) ),
inference(superposition,[status(thm)],[c_176051,c_143]) ).
tcf(c_189975,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_176052,c_143]) ).
tcf(c_189976,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_176053,c_143]) ).
tcf(c_189977,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_176061,c_143]) ).
tcf(c_189978,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( hd(sK60) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ( cons(X0,X1) != sK60 ) ),
inference(superposition,[status(thm)],[c_176242,c_143]) ).
tcf(c_189979,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_176243,c_143]) ).
tcf(c_189980,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_176244,c_143]) ).
tcf(c_189982,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189971,c_141,c_12925]) ).
tcf(c_189987,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_189973,c_141]) ).
tcf(c_189993,plain,
! [X0: $i,X1: $i] :
( ( sK10(iPr_def_13) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_13))
| ( cons(X0,X1) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189972,c_141]) ).
tcf(c_190107,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_12917,c_144]) ).
tcf(c_190108,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_13))
| ( cons(X0,X1) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_174042,c_144]) ).
tcf(c_190109,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_174048,c_144]) ).
tcf(c_190110,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( sK49(sK60) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ( cons(X0,X1) != sK60 ) ),
inference(superposition,[status(thm)],[c_176051,c_144]) ).
tcf(c_190111,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_176052,c_144]) ).
tcf(c_190112,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_176053,c_144]) ).
tcf(c_190113,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_176061,c_144]) ).
tcf(c_190114,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( tl(sK60) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ( cons(X0,X1) != sK60 ) ),
inference(superposition,[status(thm)],[c_176242,c_144]) ).
tcf(c_190115,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_176243,c_144]) ).
tcf(c_190116,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_176244,c_144]) ).
tcf(c_190118,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190107,c_141,c_12925]) ).
tcf(c_190123,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_190109,c_141]) ).
tcf(c_190129,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_13))
| ( cons(X0,X1) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190108,c_141]) ).
tcf(c_191178,plain,
( ( app(app(sK13(iPr_def_11,sK59),sK59),sK14(iPr_def_11,sK59)) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_189834,c_70]) ).
tcf(c_191179,plain,
! [X0: $i] :
( segmentP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_189834,c_190]) ).
tcf(c_191180,plain,
( ( sK59 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ segmentP(sK59,iPr_def_11) ),
inference(superposition,[status(thm)],[c_189834,c_191]) ).
tcf(c_191181,plain,
( ( sK59 = iPr_def_11 )
| ~ segmentP(sK59,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191180,c_173202,c_12926]) ).
tcf(c_191184,plain,
! [X0: $i] :
( segmentP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191179,c_173202,c_12926]) ).
tcf(c_191188,plain,
app(app(sK13(iPr_def_11,sK59),sK59),sK14(iPr_def_11,sK59)) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_191178,c_173202,c_12926]) ).
tcf(c_191193,plain,
memberP(iPr_def_11,sK10(iPr_def_10)),
inference(global_subsumption_just,[status(thm)],[c_180189,c_16246,c_19194,c_23769,c_54902]) ).
tcf(c_191195,plain,
( ( app(sK8(iPr_def_11,sK10(iPr_def_10)),cons(sK10(iPr_def_10),sK9(iPr_def_11,sK10(iPr_def_10)))) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssItem(sK10(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_191193,c_57]) ).
tcf(c_191197,plain,
( ( app(sK8(iPr_def_11,sK10(iPr_def_10)),cons(sK10(iPr_def_10),sK9(iPr_def_11,sK10(iPr_def_10)))) = iPr_def_11 )
| ~ ssItem(sK10(iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191195,c_173202]) ).
tcf(c_191200,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sK11(iPr_def_13,iPr_def_11))
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_11))
| ~ ssList(app(app(iPr_def_11,sK11(iPr_def_13,iPr_def_11)),X0)) ),
inference(superposition,[status(thm)],[c_181371,c_67]) ).
tcf(c_191203,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| memberP(sK11(iPr_def_13,iPr_def_11),X0)
| ~ ssList(iPr_def_11)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_181371,c_167]) ).
tcf(c_191207,plain,
( rearsegP(iPr_def_13,sK11(iPr_def_13,iPr_def_11))
| ~ ssList(iPr_def_11)
| ~ ssList(sK11(iPr_def_13,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_181371,c_375]) ).
tcf(c_191209,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_11))
| ( app(X0,sK11(iPr_def_13,iPr_def_11)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_181371,c_225]) ).
tcf(c_191210,plain,
! [X0: $i] :
( ( sK11(iPr_def_13,iPr_def_11) = X0 )
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_11))
| ( app(iPr_def_11,X0) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_181371,c_226]) ).
tcf(c_191211,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_181371,c_176]) ).
tcf(c_191212,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssList(iPr_def_11)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_181371,c_165]) ).
tcf(c_191213,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_11))
| ~ segmentP(sK11(iPr_def_13,iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_181371,c_193]) ).
tcf(c_191214,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_11))
| ~ rearsegP(sK11(iPr_def_13,iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_181371,c_186]) ).
tcf(c_191215,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssList(iPr_def_11)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_11))
| ~ memberP(sK11(iPr_def_13,iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_181371,c_166]) ).
tcf(c_191216,plain,
( rearsegP(iPr_def_13,sK11(iPr_def_13,iPr_def_11))
| ~ ssList(sK11(iPr_def_13,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191207,c_173202]) ).
tcf(c_191219,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191212,c_173202]) ).
tcf(c_191225,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_11))
| ~ memberP(sK11(iPr_def_13,iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191215,c_173202]) ).
tcf(c_191230,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_11))
| ~ rearsegP(sK11(iPr_def_13,iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191214,c_173202]) ).
tcf(c_191235,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| memberP(sK11(iPr_def_13,iPr_def_11),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191203,c_173202]) ).
tcf(c_191241,plain,
! [X0: $i] :
( ( sK11(iPr_def_13,iPr_def_11) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_11))
| ( app(iPr_def_11,X0) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191210,c_173202]) ).
tcf(c_191246,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_11))
| ( app(X0,sK11(iPr_def_13,iPr_def_11)) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191209,c_173202]) ).
tcf(c_191251,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_11))
| ~ segmentP(sK11(iPr_def_13,iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191213,c_173202]) ).
tcf(c_191257,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sK11(iPr_def_13,iPr_def_11))
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_11))
| ~ ssList(app(iPr_def_13,X0)) ),
inference(light_normalisation,[status(thm)],[c_191200,c_181371]) ).
tcf(c_191258,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sK11(iPr_def_13,iPr_def_11))
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_11))
| ~ ssList(app(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191257,c_173202]) ).
tcf(c_191281,plain,
~ segmentP(sK59,iPr_def_11),
inference(global_subsumption_just,[status(thm)],[c_191181,c_36949]) ).
tcf(c_191290,plain,
( segmentP(iPr_def_11,nil)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_194,c_191184]) ).
tcf(c_191292,plain,
segmentP(iPr_def_11,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_191290,c_12926,c_141]) ).
tcf(c_191293,plain,
( ( app(app(sK13(iPr_def_11,nil),nil),sK14(iPr_def_11,nil)) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_191292,c_70]) ).
tcf(c_191294,plain,
! [X0: $i] :
( segmentP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_191292,c_190]) ).
tcf(c_191295,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ segmentP(nil,iPr_def_11) ),
inference(superposition,[status(thm)],[c_191292,c_191]) ).
tcf(c_191296,plain,
~ segmentP(nil,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_191295,c_177324,c_173202,c_141]) ).
tcf(c_191297,plain,
! [X0: $i] :
( segmentP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191294,c_173202,c_141]) ).
tcf(c_191301,plain,
app(app(sK13(iPr_def_11,nil),nil),sK14(iPr_def_11,nil)) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_191293,c_173202,c_141]) ).
tcf(c_191302,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_189853,c_67]) ).
tcf(c_191305,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_189853,c_167]) ).
tcf(c_191306,plain,
( ( app(sK13(sK59,sK59),sK59) = nil )
| ~ ssList(sK14(sK59,sK59))
| ~ ssList(app(sK13(sK59,sK59),sK59))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_189853,c_231]) ).
tcf(c_191307,plain,
( ( sK14(sK59,sK59) = nil )
| ~ ssList(sK14(sK59,sK59))
| ~ ssList(app(sK13(sK59,sK59),sK59))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_189853,c_230]) ).
tcf(c_191308,plain,
( frontsegP(sK59,app(sK13(sK59,sK59),sK59))
| ~ ssList(sK14(sK59,sK59))
| ~ ssList(app(sK13(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_189853,c_378]) ).
tcf(c_191309,plain,
( rearsegP(sK59,sK14(sK59,sK59))
| ~ ssList(sK14(sK59,sK59))
| ~ ssList(app(sK13(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_189853,c_375]) ).
tcf(c_191311,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_189853,c_225]) ).
tcf(c_191313,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_189853,c_226]) ).
tcf(c_191314,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_189853,c_176]) ).
tcf(c_191315,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_189853,c_165]) ).
tcf(c_191316,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_189853,c_193]) ).
tcf(c_191317,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_189853,c_186]) ).
tcf(c_191318,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_189853,c_166]) ).
tcf(c_191376,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_191302,c_189853]) ).
tcf(c_191405,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),sK14(iPr_def_11,sK59))
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_11,sK59))
| ~ ssList(app(sK13(iPr_def_11,sK59),sK59))
| ~ ssList(app(app(app(sK13(iPr_def_11,sK59),sK59),sK14(iPr_def_11,sK59)),X0)) ),
inference(superposition,[status(thm)],[c_191188,c_67]) ).
tcf(c_191408,plain,
! [X0: $i] :
( memberP(sK14(iPr_def_11,sK59),X0)
| memberP(app(sK13(iPr_def_11,sK59),sK59),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0)
| ~ ssList(sK14(iPr_def_11,sK59))
| ~ ssList(app(sK13(iPr_def_11,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_191188,c_167]) ).
tcf(c_191411,plain,
( frontsegP(iPr_def_11,app(sK13(iPr_def_11,sK59),sK59))
| ~ ssList(sK14(iPr_def_11,sK59))
| ~ ssList(app(sK13(iPr_def_11,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_191188,c_378]) ).
tcf(c_191412,plain,
( rearsegP(iPr_def_11,sK14(iPr_def_11,sK59))
| ~ ssList(sK14(iPr_def_11,sK59))
| ~ ssList(app(sK13(iPr_def_11,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_191188,c_375]) ).
tcf(c_191414,plain,
! [X0: $i] :
( ( app(sK13(iPr_def_11,sK59),sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_11,sK59))
| ~ ssList(app(sK13(iPr_def_11,sK59),sK59))
| ( app(X0,sK14(iPr_def_11,sK59)) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_191188,c_225]) ).
tcf(c_191416,plain,
! [X0: $i] :
( ( sK14(iPr_def_11,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_11,sK59))
| ~ ssList(app(sK13(iPr_def_11,sK59),sK59))
| ( app(app(sK13(iPr_def_11,sK59),sK59),X0) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_191188,c_226]) ).
tcf(c_191417,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_11,sK59))
| ~ ssList(app(sK13(iPr_def_11,sK59),sK59))
| ~ frontsegP(app(sK13(iPr_def_11,sK59),sK59),X0) ),
inference(superposition,[status(thm)],[c_191188,c_176]) ).
tcf(c_191418,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssItem(X0)
| ~ ssList(sK14(iPr_def_11,sK59))
| ~ ssList(app(sK13(iPr_def_11,sK59),sK59))
| ~ memberP(app(sK13(iPr_def_11,sK59),sK59),X0) ),
inference(superposition,[status(thm)],[c_191188,c_165]) ).
tcf(c_191419,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_11,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_11,sK59))
| ~ segmentP(sK14(iPr_def_11,sK59),X0)
| ~ ssList(app(sK13(iPr_def_11,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_191188,c_193]) ).
tcf(c_191420,plain,
! [X0: $i] :
( rearsegP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_11,sK59))
| ~ rearsegP(sK14(iPr_def_11,sK59),X0)
| ~ ssList(app(sK13(iPr_def_11,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_191188,c_186]) ).
tcf(c_191421,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssItem(X0)
| ~ ssList(sK14(iPr_def_11,sK59))
| ~ memberP(sK14(iPr_def_11,sK59),X0)
| ~ ssList(app(sK13(iPr_def_11,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_191188,c_166]) ).
tcf(c_191422,plain,
! [X0: $i] :
( segmentP(iPr_def_11,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK14(iPr_def_11,sK59))
| ~ ssList(sK13(iPr_def_11,sK59)) ),
inference(superposition,[status(thm)],[c_191188,c_193]) ).
tcf(c_191472,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),sK14(iPr_def_11,sK59))
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_11,sK59))
| ~ ssList(app(iPr_def_11,X0))
| ~ ssList(app(sK13(iPr_def_11,sK59),sK59)) ),
inference(light_normalisation,[status(thm)],[c_191405,c_191188]) ).
tcf(c_191498,plain,
( segmentP(sK60,sK60)
| ~ ssList(nil)
| ~ ssList(app(sK60,nil)) ),
inference(superposition,[status(thm)],[c_172963,c_188131]) ).
tcf(c_191499,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK60,X0),sK60),sK60),sK14(app(sK60,X0),sK60)) = app(sK60,X0) )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(app(sK60,X0)) ),
inference(superposition,[status(thm)],[c_188131,c_70]) ).
tcf(c_191500,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK60,X0),X1)
| ~ ssList(sK60)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X1)
| ~ ssList(app(sK60,X0)) ),
inference(superposition,[status(thm)],[c_188131,c_190]) ).
tcf(c_191501,plain,
! [X0: $i] :
( ( app(sK60,X0) = sK60 )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(app(sK60,X0))
| ~ segmentP(sK60,app(sK60,X0)) ),
inference(superposition,[status(thm)],[c_188131,c_191]) ).
tcf(c_191502,plain,
( segmentP(sK60,sK60)
| ~ ssList(sK60)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_191498,c_172963]) ).
tcf(c_191503,plain,
segmentP(sK60,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_191502,c_12927,c_141]) ).
tcf(c_191504,plain,
! [X0: $i] :
( ( app(sK60,X0) = sK60 )
| ~ ssList(X0)
| ~ ssList(app(sK60,X0))
| ~ segmentP(sK60,app(sK60,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191501,c_12927]) ).
tcf(c_191509,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK60,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X1)
| ~ ssList(app(sK60,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191500,c_12927]) ).
tcf(c_191515,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK60,X0),sK60),sK60),sK14(app(sK60,X0),sK60)) = app(sK60,X0) )
| ~ ssList(X0)
| ~ ssList(app(sK60,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191499,c_12927]) ).
tcf(c_191519,plain,
( ( app(app(sK13(sK60,sK60),sK60),sK14(sK60,sK60)) = sK60 )
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_191503,c_70]) ).
tcf(c_191522,plain,
app(app(sK13(sK60,sK60),sK60),sK14(sK60,sK60)) = sK60,
inference(forward_subsumption_resolution,[status(thm)],[c_191519,c_12927]) ).
tcf(c_191523,plain,
! [X0: $i] :
( segmentP(app(sK60,X0),sK14(sK60,sK60))
| ~ ssList(X0)
| ~ ssList(sK14(sK60,sK60))
| ~ ssList(app(sK13(sK60,sK60),sK60))
| ~ ssList(app(app(app(sK13(sK60,sK60),sK60),sK14(sK60,sK60)),X0)) ),
inference(superposition,[status(thm)],[c_191522,c_67]) ).
tcf(c_191526,plain,
! [X0: $i] :
( memberP(sK14(sK60,sK60),X0)
| memberP(app(sK13(sK60,sK60),sK60),X0)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(sK14(sK60,sK60))
| ~ ssList(app(sK13(sK60,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_191522,c_167]) ).
tcf(c_191527,plain,
( ( app(sK13(sK60,sK60),sK60) = nil )
| ~ ssList(sK14(sK60,sK60))
| ~ ssList(app(sK13(sK60,sK60),sK60))
| ( nil != sK60 ) ),
inference(superposition,[status(thm)],[c_191522,c_231]) ).
tcf(c_191528,plain,
( ( sK14(sK60,sK60) = nil )
| ~ ssList(sK14(sK60,sK60))
| ~ ssList(app(sK13(sK60,sK60),sK60))
| ( nil != sK60 ) ),
inference(superposition,[status(thm)],[c_191522,c_230]) ).
tcf(c_191529,plain,
( frontsegP(sK60,app(sK13(sK60,sK60),sK60))
| ~ ssList(sK14(sK60,sK60))
| ~ ssList(app(sK13(sK60,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_191522,c_378]) ).
tcf(c_191530,plain,
( rearsegP(sK60,sK14(sK60,sK60))
| ~ ssList(sK14(sK60,sK60))
| ~ ssList(app(sK13(sK60,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_191522,c_375]) ).
tcf(c_191532,plain,
! [X0: $i] :
( ( app(sK13(sK60,sK60),sK60) = X0 )
| ~ ssList(X0)
| ~ ssList(sK14(sK60,sK60))
| ~ ssList(app(sK13(sK60,sK60),sK60))
| ( app(X0,sK14(sK60,sK60)) != sK60 ) ),
inference(superposition,[status(thm)],[c_191522,c_225]) ).
tcf(c_191534,plain,
! [X0: $i] :
( ( sK14(sK60,sK60) = X0 )
| ~ ssList(X0)
| ~ ssList(sK14(sK60,sK60))
| ~ ssList(app(sK13(sK60,sK60),sK60))
| ( app(app(sK13(sK60,sK60),sK60),X0) != sK60 ) ),
inference(superposition,[status(thm)],[c_191522,c_226]) ).
tcf(c_191535,plain,
! [X0: $i] :
( frontsegP(sK60,X0)
| ~ ssList(X0)
| ~ ssList(sK14(sK60,sK60))
| ~ ssList(app(sK13(sK60,sK60),sK60))
| ~ frontsegP(app(sK13(sK60,sK60),sK60),X0) ),
inference(superposition,[status(thm)],[c_191522,c_176]) ).
tcf(c_191536,plain,
! [X0: $i] :
( memberP(sK60,X0)
| ~ ssItem(X0)
| ~ ssList(sK14(sK60,sK60))
| ~ ssList(app(sK13(sK60,sK60),sK60))
| ~ memberP(app(sK13(sK60,sK60),sK60),X0) ),
inference(superposition,[status(thm)],[c_191522,c_165]) ).
tcf(c_191537,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK60,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK14(sK60,sK60))
| ~ segmentP(sK14(sK60,sK60),X0)
| ~ ssList(app(sK13(sK60,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_191522,c_193]) ).
tcf(c_191538,plain,
! [X0: $i] :
( rearsegP(sK60,X0)
| ~ ssList(X0)
| ~ ssList(sK14(sK60,sK60))
| ~ rearsegP(sK14(sK60,sK60),X0)
| ~ ssList(app(sK13(sK60,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_191522,c_186]) ).
tcf(c_191539,plain,
! [X0: $i] :
( memberP(sK60,X0)
| ~ ssItem(X0)
| ~ ssList(sK14(sK60,sK60))
| ~ memberP(sK14(sK60,sK60),X0)
| ~ ssList(app(sK13(sK60,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_191522,c_166]) ).
tcf(c_191597,plain,
! [X0: $i] :
( segmentP(app(sK60,X0),sK14(sK60,sK60))
| ~ ssList(X0)
| ~ ssList(sK14(sK60,sK60))
| ~ ssList(app(sK60,X0))
| ~ ssList(app(sK13(sK60,sK60),sK60)) ),
inference(light_normalisation,[status(thm)],[c_191523,c_191522]) ).
tcf(c_191692,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,sK60) = nil )
| ( cons(sK57,sK60) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ( hd(X0) != sK57 )
| ( tl(cons(sK57,sK60)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_174357,c_223]) ).
tcf(c_191693,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_174358,c_223]) ).
tcf(c_191694,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_174359,c_223]) ).
tcf(c_191695,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,iPr_def_13) = nil )
| ( cons(sK57,iPr_def_13) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_13))
| ( hd(X0) != sK57 )
| ( tl(cons(sK57,iPr_def_13)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_174360,c_223]) ).
tcf(c_191696,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_174361,c_223]) ).
tcf(c_191697,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_174362,c_223]) ).
tcf(c_191698,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_174363,c_223]) ).
tcf(c_191699,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) != sK57 ) ),
inference(superposition,[status(thm)],[c_174364,c_223]) ).
tcf(c_191700,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ( app(sK60,sK60) = nil )
| ( app(sK60,sK60) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK60,sK60))
| ( hd(X0) != hd(sK60) )
| ( tl(app(sK60,sK60)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_181561,c_223]) ).
tcf(c_191701,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ( app(sK60,sK59) = nil )
| ( app(sK60,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK60,sK59))
| ( hd(X0) != hd(sK60) )
| ( tl(app(sK60,sK59)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_181562,c_223]) ).
tcf(c_191702,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ( app(sK60,sK56) = nil )
| ( app(sK60,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK60,sK56))
| ( hd(X0) != hd(sK60) )
| ( tl(app(sK60,sK56)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_181563,c_223]) ).
tcf(c_191703,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ( app(sK59,sK60) = nil )
| ( app(sK59,sK60) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK60))
| ( hd(X0) != hd(sK59) )
| ( tl(app(sK59,sK60)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_181803,c_223]) ).
tcf(c_191704,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_181804,c_223]) ).
tcf(c_191705,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_181805,c_223]) ).
tcf(c_191706,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( app(sK56,sK60) = nil )
| ( app(sK56,sK60) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK60))
| ( hd(X0) != hd(sK56) )
| ( tl(app(sK56,sK60)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_182671,c_223]) ).
tcf(c_191707,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_182672,c_223]) ).
tcf(c_191708,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_182673,c_223]) ).
tcf(c_191710,plain,
! [X0: $i] :
( ( nil = iPr_def_10 )
| ( X0 = iPr_def_10 )
| ( X0 = nil )
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ( tl(X0) != nil )
| ( hd(X0) != sK57 ) ),
inference(light_normalisation,[status(thm)],[c_191699,c_174511]) ).
tcf(c_191711,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ( X0 = nil )
| ~ ssList(X0)
| ( tl(X0) != nil )
| ( hd(X0) != sK57 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191710,c_174077,c_173031]) ).
tcf(c_191717,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_191698,c_174510]) ).
tcf(c_191725,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_191697,c_174509]) ).
tcf(c_191733,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_191696,c_174508]) ).
tcf(c_191741,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,iPr_def_13) = nil )
| ( cons(sK57,iPr_def_13) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_13))
| ( tl(X0) != iPr_def_13 )
| ( hd(X0) != sK57 ) ),
inference(light_normalisation,[status(thm)],[c_191695,c_174507]) ).
tcf(c_191749,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_191694,c_174506]) ).
tcf(c_191757,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_191693,c_174505]) ).
tcf(c_191765,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,sK60) = nil )
| ( cons(sK57,sK60) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ( tl(X0) != sK60 )
| ( hd(X0) != sK57 ) ),
inference(light_normalisation,[status(thm)],[c_191692,c_174504]) ).
tcf(c_192315,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_192316,plain,
! [X0: $i] :
( ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK60),cons(sK57,X0)))
| ~ duplicatefreeP(app(app(nil,cons(sK57,sK60)),cons(sK57,X0))) ),
inference(superposition,[status(thm)],[c_174718,c_130]) ).
tcf(c_192317,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_174719,c_130]) ).
tcf(c_192318,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_174720,c_130]) ).
tcf(c_192319,plain,
! [X0: $i] :
( ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,iPr_def_13),cons(sK57,X0)))
| ~ duplicatefreeP(app(app(nil,cons(sK57,iPr_def_13)),cons(sK57,X0))) ),
inference(superposition,[status(thm)],[c_174721,c_130]) ).
tcf(c_192320,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_174722,c_130]) ).
tcf(c_192321,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_174723,c_130]) ).
tcf(c_192322,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_174724,c_130]) ).
tcf(c_192323,plain,
! [X0: $i] :
( ( nil = sK60 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ~ ssList(app(cons(sK57,tl(sK60)),cons(sK57,X0)))
| ~ duplicatefreeP(app(app(nil,cons(sK57,tl(sK60))),cons(sK57,X0))) ),
inference(superposition,[status(thm)],[c_175806,c_130]) ).
tcf(c_192324,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_183614,c_130]) ).
tcf(c_192325,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_183613,c_130]) ).
tcf(c_192326,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_183612,c_130]) ).
tcf(c_192327,plain,
! [X0: $i] :
( ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(sK9(iPr_def_13,sK57))
| ~ ssList(sK8(iPr_def_13,sK57))
| ~ ssList(app(iPr_def_13,cons(sK57,X0)))
| ~ duplicatefreeP(app(app(sK8(iPr_def_13,sK57),cons(sK57,sK9(iPr_def_13,sK57))),cons(sK57,X0))) ),
inference(superposition,[status(thm)],[c_183611,c_130]) ).
tcf(c_192328,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,iPr_def_10),cons(sK57,X1)))
| ~ duplicatefreeP(app(app(X0,cons(sK57,nil)),cons(sK57,X1))) ),
inference(superposition,[status(thm)],[c_12917,c_130]) ).
tcf(c_192329,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_13))
| ~ ssList(app(app(X0,iPr_def_13),cons(sK10(iPr_def_13),X1)))
| ~ duplicatefreeP(app(app(X0,cons(sK10(iPr_def_13),nil)),cons(sK10(iPr_def_13),X1))) ),
inference(superposition,[status(thm)],[c_174042,c_130]) ).
tcf(c_192330,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_174048,c_130]) ).
tcf(c_192331,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ~ ssList(app(app(X0,sK60),cons(sK50(sK60),X1)))
| ~ duplicatefreeP(app(app(X0,cons(sK50(sK60),sK49(sK60))),cons(sK50(sK60),X1))) ),
inference(superposition,[status(thm)],[c_176051,c_130]) ).
tcf(c_192332,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_176052,c_130]) ).
tcf(c_192333,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_176053,c_130]) ).
tcf(c_192334,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_176061,c_130]) ).
tcf(c_192335,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ~ ssList(app(app(X0,sK60),cons(hd(sK60),X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(sK60),tl(sK60))),cons(hd(sK60),X1))) ),
inference(superposition,[status(thm)],[c_176242,c_130]) ).
tcf(c_192336,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_176243,c_130]) ).
tcf(c_192337,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_176244,c_130]) ).
tcf(c_192338,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(sK57,X1)),iPr_def_10))
| ~ duplicatefreeP(app(app(X0,cons(sK57,X1)),cons(sK57,nil))) ),
inference(superposition,[status(thm)],[c_12917,c_130]) ).
tcf(c_192339,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_13))
| ~ ssList(app(app(X0,cons(sK10(iPr_def_13),X1)),iPr_def_13))
| ~ duplicatefreeP(app(app(X0,cons(sK10(iPr_def_13),X1)),cons(sK10(iPr_def_13),nil))) ),
inference(superposition,[status(thm)],[c_174042,c_130]) ).
tcf(c_192340,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_174048,c_130]) ).
tcf(c_192341,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ~ ssList(app(app(X0,cons(sK50(sK60),X1)),sK60))
| ~ duplicatefreeP(app(app(X0,cons(sK50(sK60),X1)),cons(sK50(sK60),sK49(sK60)))) ),
inference(superposition,[status(thm)],[c_176051,c_130]) ).
tcf(c_192342,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_176052,c_130]) ).
tcf(c_192343,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_176053,c_130]) ).
tcf(c_192344,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_176061,c_130]) ).
tcf(c_192345,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ~ ssList(app(app(X0,cons(hd(sK60),X1)),sK60))
| ~ duplicatefreeP(app(app(X0,cons(hd(sK60),X1)),cons(hd(sK60),tl(sK60)))) ),
inference(superposition,[status(thm)],[c_176242,c_130]) ).
tcf(c_192346,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_176243,c_130]) ).
tcf(c_192347,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_176244,c_130]) ).
tcf(c_192348,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,cons(sK57,X1)),iPr_def_10))
| ~ ssList(app(app(X0,cons(sK57,X1)),iPr_def_10)) ),
inference(light_normalisation,[status(thm)],[c_192338,c_12917]) ).
tcf(c_192349,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,cons(sK57,X1)),iPr_def_10))
| ~ ssList(app(app(X0,cons(sK57,X1)),iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192348,c_141,c_12925]) ).
tcf(c_192354,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,iPr_def_10),cons(sK57,X1)))
| ~ ssList(app(app(X0,iPr_def_10),cons(sK57,X1))) ),
inference(light_normalisation,[status(thm)],[c_192328,c_12917]) ).
tcf(c_192355,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,iPr_def_10),cons(sK57,X1)))
| ~ ssList(app(app(X0,iPr_def_10),cons(sK57,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192354,c_141,c_12925]) ).
tcf(c_192360,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_192322,c_174724]) ).
tcf(c_192361,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_192360,c_173031,c_141,c_12925]) ).
tcf(c_192365,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_192321,c_174723]) ).
tcf(c_192366,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_192365,c_173203,c_141,c_12925]) ).
tcf(c_192370,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_192320,c_174722]) ).
tcf(c_192371,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_192370,c_173202,c_141,c_12925]) ).
tcf(c_192375,plain,
! [X0: $i] :
( ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ duplicatefreeP(app(cons(sK57,iPr_def_13),cons(sK57,X0)))
| ~ ssList(app(cons(sK57,iPr_def_13),cons(sK57,X0))) ),
inference(light_normalisation,[status(thm)],[c_192319,c_174721]) ).
tcf(c_192376,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ duplicatefreeP(app(cons(sK57,iPr_def_13),cons(sK57,X0)))
| ~ ssList(app(cons(sK57,iPr_def_13),cons(sK57,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192375,c_172540,c_141,c_12925]) ).
tcf(c_192380,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_192318,c_174720]) ).
tcf(c_192381,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_192380,c_12924,c_141,c_12925]) ).
tcf(c_192385,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_192317,c_174719]) ).
tcf(c_192386,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_192385,c_12926,c_141,c_12925]) ).
tcf(c_192390,plain,
! [X0: $i] :
( ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ duplicatefreeP(app(cons(sK57,sK60),cons(sK57,X0)))
| ~ ssList(app(cons(sK57,sK60),cons(sK57,X0))) ),
inference(light_normalisation,[status(thm)],[c_192316,c_174718]) ).
tcf(c_192391,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ duplicatefreeP(app(cons(sK57,sK60),cons(sK57,X0)))
| ~ ssList(app(cons(sK57,sK60),cons(sK57,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192390,c_12927,c_141,c_12925]) ).
tcf(c_192402,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_192340,c_174048]) ).
tcf(c_192403,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_192402,c_141]) ).
tcf(c_192409,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_13))
| ~ duplicatefreeP(app(app(X0,cons(sK10(iPr_def_13),X1)),iPr_def_13))
| ~ ssList(app(app(X0,cons(sK10(iPr_def_13),X1)),iPr_def_13)) ),
inference(light_normalisation,[status(thm)],[c_192339,c_174042]) ).
tcf(c_192410,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_13))
| ~ duplicatefreeP(app(app(X0,cons(sK10(iPr_def_13),X1)),iPr_def_13))
| ~ ssList(app(app(X0,cons(sK10(iPr_def_13),X1)),iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192409,c_141]) ).
tcf(c_192416,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_192330,c_174048]) ).
tcf(c_192417,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_192416,c_141]) ).
tcf(c_192423,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_13))
| ~ duplicatefreeP(app(app(X0,iPr_def_13),cons(sK10(iPr_def_13),X1)))
| ~ ssList(app(app(X0,iPr_def_13),cons(sK10(iPr_def_13),X1))) ),
inference(light_normalisation,[status(thm)],[c_192329,c_174042]) ).
tcf(c_192424,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_13))
| ~ duplicatefreeP(app(app(X0,iPr_def_13),cons(sK10(iPr_def_13),X1)))
| ~ ssList(app(app(X0,iPr_def_13),cons(sK10(iPr_def_13),X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192423,c_141]) ).
tcf(c_192430,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_192344,c_176061]) ).
tcf(c_192437,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_192334,c_176061]) ).
tcf(c_192444,plain,
! [X0: $i] :
( ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(sK9(iPr_def_13,sK57))
| ~ ssList(sK8(iPr_def_13,sK57))
| ~ duplicatefreeP(app(iPr_def_13,cons(sK57,X0)))
| ~ ssList(app(iPr_def_13,cons(sK57,X0))) ),
inference(light_normalisation,[status(thm)],[c_192327,c_183611]) ).
tcf(c_192445,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ ssList(sK9(iPr_def_13,sK57))
| ~ ssList(sK8(iPr_def_13,sK57))
| ~ duplicatefreeP(app(iPr_def_13,cons(sK57,X0)))
| ~ ssList(app(iPr_def_13,cons(sK57,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192444,c_12925]) ).
tcf(c_192451,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_192326,c_183612]) ).
tcf(c_192452,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_192451,c_12925]) ).
tcf(c_192458,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_192325,c_183613]) ).
tcf(c_192459,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_192458,c_12925]) ).
tcf(c_192465,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_192324,c_183614]) ).
tcf(c_192466,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_192465,c_12925]) ).
tcf(c_192472,plain,
! [X0: $i] :
( ( nil = sK60 )
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ~ ssList(app(cons(sK57,tl(sK60)),cons(sK57,X0)))
| ~ duplicatefreeP(app(app(nil,cons(sK57,tl(sK60))),cons(sK57,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192323,c_141,c_12925]) ).
tcf(c_192741,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_192742,plain,
! [X0: $i,X1: $i] :
( ( X1 = sK57 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,iPr_def_10)))
| ~ equalelemsP(app(X0,cons(X1,cons(sK57,nil)))) ),
inference(superposition,[status(thm)],[c_12917,c_137]) ).
tcf(c_192743,plain,
! [X0: $i,X1: $i] :
( ( sK10(iPr_def_13) = X1 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_13))
| ~ ssList(app(X0,cons(X1,iPr_def_13)))
| ~ equalelemsP(app(X0,cons(X1,cons(sK10(iPr_def_13),nil)))) ),
inference(superposition,[status(thm)],[c_174042,c_137]) ).
tcf(c_192744,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_174048,c_137]) ).
tcf(c_192745,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( sK50(sK60) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ~ ssList(app(X0,cons(X1,sK60)))
| ~ equalelemsP(app(X0,cons(X1,cons(sK50(sK60),sK49(sK60))))) ),
inference(superposition,[status(thm)],[c_176051,c_137]) ).
tcf(c_192746,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_176052,c_137]) ).
tcf(c_192747,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_176053,c_137]) ).
tcf(c_192748,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_176061,c_137]) ).
tcf(c_192749,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( hd(sK60) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ~ ssList(app(X0,cons(X1,sK60)))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(sK60),tl(sK60))))) ),
inference(superposition,[status(thm)],[c_176242,c_137]) ).
tcf(c_192750,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_176243,c_137]) ).
tcf(c_192751,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_176244,c_137]) ).
tcf(c_192752,plain,
! [X0: $i,X1: $i] :
( ( X1 = sK57 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ 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_192742,c_12917]) ).
tcf(c_192753,plain,
! [X0: $i,X1: $i] :
( ( X1 = sK57 )
| ~ 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_192752,c_141,c_12925]) ).
tcf(c_192766,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_192744,c_174048]) ).
tcf(c_192767,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_192766,c_141]) ).
tcf(c_192774,plain,
! [X0: $i,X1: $i] :
( ( sK10(iPr_def_13) = X1 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_13))
| ~ equalelemsP(app(X0,cons(X1,iPr_def_13)))
| ~ ssList(app(X0,cons(X1,iPr_def_13))) ),
inference(light_normalisation,[status(thm)],[c_192743,c_174042]) ).
tcf(c_192775,plain,
! [X0: $i,X1: $i] :
( ( sK10(iPr_def_13) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_13))
| ~ equalelemsP(app(X0,cons(X1,iPr_def_13)))
| ~ ssList(app(X0,cons(X1,iPr_def_13))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192774,c_141]) ).
tcf(c_192782,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_192748,c_176061]) ).
tcf(c_192861,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,tl(iPr_def_13)) = nil )
| ( cons(sK57,tl(iPr_def_13)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(iPr_def_13)))
| ( hd(X0) != sK57 )
| ( tl(cons(sK57,tl(iPr_def_13))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_182396,c_223]) ).
tcf(c_192862,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK57,tl(iPr_def_13))))
| ( cons(sK57,tl(iPr_def_13)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(cons(sK57,tl(iPr_def_13)))
| ~ ssList(cons(sK57,tl(iPr_def_13))) ),
inference(superposition,[status(thm)],[c_182396,c_212]) ).
tcf(c_192863,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK57,tl(iPr_def_13))))
| ( cons(sK57,tl(iPr_def_13)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(cons(sK57,tl(iPr_def_13)))
| ~ ssList(cons(sK57,tl(iPr_def_13))) ),
inference(superposition,[status(thm)],[c_182396,c_206]) ).
tcf(c_192876,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,tl(iPr_def_13)) = nil )
| ( cons(sK57,tl(iPr_def_13)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(iPr_def_13)))
| ( tl(X0) != tl(iPr_def_13) )
| ( hd(X0) != sK57 ) ),
inference(light_normalisation,[status(thm)],[c_192861,c_182395]) ).
tcf(c_192884,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_13),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_13))
| ~ ssList(app(app(tl(iPr_def_13),nil),X0)) ),
inference(superposition,[status(thm)],[c_182400,c_67]) ).
tcf(c_192890,plain,
( frontsegP(tl(iPr_def_13),tl(iPr_def_13))
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_182400,c_378]) ).
tcf(c_192891,plain,
( rearsegP(tl(iPr_def_13),nil)
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_182400,c_375]) ).
tcf(c_192893,plain,
! [X0: $i] :
( ( tl(iPr_def_13) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_13))
| ( app(X0,nil) != tl(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_182400,c_225]) ).
tcf(c_192894,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_13))
| ( app(tl(iPr_def_13),X0) != tl(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_182400,c_226]) ).
tcf(c_192897,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(iPr_def_13),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_13))
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_182400,c_193]) ).
tcf(c_192898,plain,
! [X0: $i] :
( rearsegP(tl(iPr_def_13),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_13))
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_182400,c_186]) ).
tcf(c_192899,plain,
! [X0: $i] :
( memberP(tl(iPr_def_13),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(tl(iPr_def_13))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_182400,c_166]) ).
tcf(c_192903,plain,
rearsegP(tl(iPr_def_13),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_192891,c_141,c_182143]) ).
tcf(c_192904,plain,
frontsegP(tl(iPr_def_13),tl(iPr_def_13)),
inference(forward_subsumption_resolution,[status(thm)],[c_192890,c_141,c_182143]) ).
tcf(c_192906,plain,
! [X0: $i] :
( rearsegP(tl(iPr_def_13),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192898,c_141,c_182143]) ).
tcf(c_192910,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(iPr_def_13),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192897,c_141,c_182143]) ).
tcf(c_192915,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(tl(iPr_def_13),X0) != tl(iPr_def_13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192894,c_141,c_182143]) ).
tcf(c_192919,plain,
! [X0: $i] :
( ( tl(iPr_def_13) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != tl(iPr_def_13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192893,c_141,c_182143]) ).
tcf(c_192923,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_13),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_13))
| ~ ssList(app(tl(iPr_def_13),X0)) ),
inference(light_normalisation,[status(thm)],[c_192884,c_182400]) ).
tcf(c_192924,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_13),X0),nil)
| ~ ssList(X0)
| ~ ssList(app(tl(iPr_def_13),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192923,c_141,c_182143]) ).
tcf(c_192963,plain,
( segmentP(iPr_def_13,sK60)
| ~ ssList(nil)
| ~ ssList(app(iPr_def_13,nil)) ),
inference(superposition,[status(thm)],[c_172966,c_188141]) ).
tcf(c_192965,plain,
! [X0: $i] :
( ( app(app(sK13(app(iPr_def_13,X0),sK60),sK60),sK14(app(iPr_def_13,X0),sK60)) = app(iPr_def_13,X0) )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_188141,c_70]) ).
tcf(c_192966,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X0),X1)
| ~ ssList(sK60)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X1)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_188141,c_190]) ).
tcf(c_192967,plain,
! [X0: $i] :
( ( app(iPr_def_13,X0) = sK60 )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ segmentP(sK60,app(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_188141,c_191]) ).
tcf(c_192968,plain,
( segmentP(iPr_def_13,sK60)
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_192963,c_172966]) ).
tcf(c_192969,plain,
segmentP(iPr_def_13,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_192968,c_172540,c_141]) ).
tcf(c_192970,plain,
! [X0: $i] :
( ( app(iPr_def_13,X0) = sK60 )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ segmentP(sK60,app(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192967,c_12927]) ).
tcf(c_192975,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X1)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192966,c_12927]) ).
tcf(c_192981,plain,
! [X0: $i] :
( ( app(app(sK13(app(iPr_def_13,X0),sK60),sK60),sK14(app(iPr_def_13,X0),sK60)) = app(iPr_def_13,X0) )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192965,c_12927]) ).
tcf(c_192995,plain,
( segmentP(iPr_def_12,iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(app(iPr_def_11,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_12919,c_188151]) ).
tcf(c_192996,plain,
( segmentP(iPr_def_11,iPr_def_10)
| ~ ssList(nil)
| ~ ssList(app(iPr_def_11,nil)) ),
inference(superposition,[status(thm)],[c_173235,c_188151]) ).
tcf(c_192999,plain,
( segmentP(iPr_def_13,iPr_def_10)
| ~ ssList(sK11(iPr_def_13,iPr_def_11))
| ~ ssList(app(iPr_def_11,sK11(iPr_def_13,iPr_def_11))) ),
inference(superposition,[status(thm)],[c_181371,c_188151]) ).
tcf(c_193000,plain,
! [X0: $i] :
( ( app(app(sK13(app(iPr_def_11,X0),iPr_def_10),iPr_def_10),sK14(app(iPr_def_11,X0),iPr_def_10)) = app(iPr_def_11,X0) )
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_188151,c_70]) ).
tcf(c_193001,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_11,X0),X1)
| ~ ssList(iPr_def_10)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X1)
| ~ ssList(app(iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_188151,c_190]) ).
tcf(c_193002,plain,
! [X0: $i] :
( ( app(iPr_def_11,X0) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_11,X0))
| ~ segmentP(iPr_def_10,app(iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_188151,c_191]) ).
tcf(c_193003,plain,
( segmentP(iPr_def_11,iPr_def_10)
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_192996,c_173235]) ).
tcf(c_193004,plain,
segmentP(iPr_def_11,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_193003,c_173202,c_141]) ).
tcf(c_193005,plain,
( segmentP(iPr_def_12,iPr_def_10)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_192995,c_12919]) ).
tcf(c_193006,plain,
segmentP(iPr_def_12,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_193005,c_173203,c_173031]) ).
tcf(c_193007,plain,
( segmentP(iPr_def_13,iPr_def_10)
| ~ ssList(iPr_def_13)
| ~ ssList(sK11(iPr_def_13,iPr_def_11)) ),
inference(light_normalisation,[status(thm)],[c_192999,c_181371]) ).
tcf(c_193008,plain,
( segmentP(iPr_def_13,iPr_def_10)
| ~ ssList(sK11(iPr_def_13,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193007,c_172540]) ).
tcf(c_193011,plain,
! [X0: $i] :
( ( app(iPr_def_11,X0) = iPr_def_10 )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_11,X0))
| ~ segmentP(iPr_def_10,app(iPr_def_11,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193002,c_173031]) ).
tcf(c_193016,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_11,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X1)
| ~ ssList(app(iPr_def_11,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193001,c_173031]) ).
tcf(c_193022,plain,
! [X0: $i] :
( ( app(app(sK13(app(iPr_def_11,X0),iPr_def_10),iPr_def_10),sK14(app(iPr_def_11,X0),iPr_def_10)) = app(iPr_def_11,X0) )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_11,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193000,c_173031]) ).
tcf(c_193057,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( sK59 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_12918,c_186947]) ).
tcf(c_193060,plain,
sK59 != iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_193057,c_174077,c_173031]) ).
tcf(c_193075,plain,
( ( sK11(nil,nil) = sK56 )
| ~ ssList(sK11(nil,nil))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_177497,c_186959]) ).
tcf(c_193091,plain,
( ( sK11(iPr_def_10,nil) = sK56 )
| ~ ssList(sK11(iPr_def_10,nil))
| ( sK56 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_177506,c_186959]) ).
tcf(c_193092,plain,
( ( sK11(sK60,nil) = sK56 )
| ~ ssList(sK11(sK60,nil))
| ( sK60 != sK56 ) ),
inference(superposition,[status(thm)],[c_177505,c_186959]) ).
tcf(c_193093,plain,
( ( sK11(sK59,nil) = sK56 )
| ~ ssList(sK11(sK59,nil))
| ( sK59 != sK56 ) ),
inference(superposition,[status(thm)],[c_177504,c_186959]) ).
tcf(c_193094,plain,
( ( sK11(sK56,nil) = sK56 )
| ~ ssList(sK11(sK56,nil)) ),
inference(superposition,[status(thm)],[c_177503,c_186959]) ).
tcf(c_193095,plain,
( ( sK11(iPr_def_13,nil) = sK56 )
| ~ ssList(sK11(iPr_def_13,nil))
| ( sK56 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_177502,c_186959]) ).
tcf(c_193096,plain,
( ( sK11(iPr_def_11,nil) = sK56 )
| ~ ssList(sK11(iPr_def_11,nil))
| ( sK56 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_177501,c_186959]) ).
tcf(c_193097,plain,
( ( sK11(iPr_def_12,nil) = sK56 )
| ~ ssList(sK11(iPr_def_12,nil))
| ( sK56 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_177500,c_186959]) ).
tcf(c_193128,plain,
( ( sK11(nil,nil) = sK59 )
| ~ ssList(sK11(nil,nil))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_177497,c_186963]) ).
tcf(c_193144,plain,
( ( sK11(iPr_def_10,nil) = sK59 )
| ~ ssList(sK11(iPr_def_10,nil))
| ( sK59 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_177506,c_186963]) ).
tcf(c_193145,plain,
( ( sK11(sK60,nil) = sK59 )
| ~ ssList(sK11(sK60,nil))
| ( sK59 != sK60 ) ),
inference(superposition,[status(thm)],[c_177505,c_186963]) ).
tcf(c_193146,plain,
( ( sK11(sK59,nil) = sK59 )
| ~ ssList(sK11(sK59,nil)) ),
inference(superposition,[status(thm)],[c_177504,c_186963]) ).
tcf(c_193147,plain,
( ( sK11(sK56,nil) = sK59 )
| ~ ssList(sK11(sK56,nil))
| ( sK59 != sK56 ) ),
inference(superposition,[status(thm)],[c_177503,c_186963]) ).
tcf(c_193148,plain,
( ( sK11(iPr_def_13,nil) = sK59 )
| ~ ssList(sK11(iPr_def_13,nil))
| ( sK59 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_177502,c_186963]) ).
tcf(c_193150,plain,
( ( sK11(iPr_def_12,nil) = sK59 )
| ~ ssList(sK11(iPr_def_12,nil))
| ( sK59 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_177500,c_186963]) ).
tcf(c_193196,plain,
( ( sK11(nil,nil) = sK60 )
| ~ ssList(sK11(nil,nil))
| ( nil != sK60 ) ),
inference(superposition,[status(thm)],[c_177497,c_186967]) ).
tcf(c_193212,plain,
( ( sK11(iPr_def_10,nil) = sK60 )
| ~ ssList(sK11(iPr_def_10,nil))
| ( sK60 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_177506,c_186967]) ).
tcf(c_193213,plain,
( ( sK11(sK60,nil) = sK60 )
| ~ ssList(sK11(sK60,nil)) ),
inference(superposition,[status(thm)],[c_177505,c_186967]) ).
tcf(c_193214,plain,
( ( sK11(sK59,nil) = sK60 )
| ~ ssList(sK11(sK59,nil))
| ( sK59 != sK60 ) ),
inference(superposition,[status(thm)],[c_177504,c_186967]) ).
tcf(c_193215,plain,
( ( sK11(sK56,nil) = sK60 )
| ~ ssList(sK11(sK56,nil))
| ( sK60 != sK56 ) ),
inference(superposition,[status(thm)],[c_177503,c_186967]) ).
tcf(c_193217,plain,
( ( sK11(iPr_def_11,nil) = sK60 )
| ~ ssList(sK11(iPr_def_11,nil))
| ( sK60 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_177501,c_186967]) ).
tcf(c_193218,plain,
( ( sK11(iPr_def_12,nil) = sK60 )
| ~ ssList(sK11(iPr_def_12,nil))
| ( sK60 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_177500,c_186967]) ).
tcf(c_193270,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ( cons(sK57,tl(sK60)) = nil )
| ( cons(sK57,tl(sK60)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK60)))
| ( hd(X0) != sK57 )
| ( tl(cons(sK57,tl(sK60))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_175808,c_223]) ).
tcf(c_193271,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK57,tl(sK60))))
| ( nil = sK60 )
| ( cons(sK57,tl(sK60)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(cons(sK57,tl(sK60)))
| ~ ssList(cons(sK57,tl(sK60))) ),
inference(superposition,[status(thm)],[c_175808,c_212]) ).
tcf(c_193272,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK57,tl(sK60))))
| ( nil = sK60 )
| ( cons(sK57,tl(sK60)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(cons(sK57,tl(sK60)))
| ~ ssList(cons(sK57,tl(sK60))) ),
inference(superposition,[status(thm)],[c_175808,c_206]) ).
tcf(c_193311,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_193312,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(cons(sK57,sK60),cons(X0,X1)))
| ~ totalorderedP(app(app(nil,cons(sK57,sK60)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_174718,c_114]) ).
tcf(c_193313,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_174719,c_114]) ).
tcf(c_193314,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_174720,c_114]) ).
tcf(c_193315,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(cons(sK57,iPr_def_13),cons(X0,X1)))
| ~ totalorderedP(app(app(nil,cons(sK57,iPr_def_13)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_174721,c_114]) ).
tcf(c_193316,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_174722,c_114]) ).
tcf(c_193317,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_174723,c_114]) ).
tcf(c_193318,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_174724,c_114]) ).
tcf(c_193319,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK60))
| ~ ssList(app(cons(sK57,tl(sK60)),cons(X0,X1)))
| ~ totalorderedP(app(app(nil,cons(sK57,tl(sK60))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_175806,c_114]) ).
tcf(c_193320,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_183614,c_114]) ).
tcf(c_193321,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_183613,c_114]) ).
tcf(c_193322,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_183612,c_114]) ).
tcf(c_193323,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_13,sK57))
| ~ ssList(sK8(iPr_def_13,sK57))
| ~ ssList(app(iPr_def_13,cons(X0,X1)))
| ~ totalorderedP(app(app(sK8(iPr_def_13,sK57),cons(sK57,sK9(iPr_def_13,sK57))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_183611,c_114]) ).
tcf(c_193324,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_10),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(sK57,nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_12917,c_114]) ).
tcf(c_193325,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK10(iPr_def_13),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_13))
| ~ ssList(app(app(X0,iPr_def_13),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(sK10(iPr_def_13),nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_174042,c_114]) ).
tcf(c_193326,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_174048,c_114]) ).
tcf(c_193327,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK50(sK60),X1)
| ( nil = sK60 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ~ ssList(app(app(X0,sK60),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(sK50(sK60),sK49(sK60))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_176051,c_114]) ).
tcf(c_193328,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_176052,c_114]) ).
tcf(c_193329,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_176053,c_114]) ).
tcf(c_193330,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_176061,c_114]) ).
tcf(c_193331,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(hd(sK60),X1)
| ( nil = sK60 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ~ ssList(app(app(X0,sK60),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(hd(sK60),tl(sK60))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_176242,c_114]) ).
tcf(c_193332,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_176243,c_114]) ).
tcf(c_193333,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_176244,c_114]) ).
tcf(c_193334,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_10))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(sK57,nil))) ),
inference(superposition,[status(thm)],[c_12917,c_114]) ).
tcf(c_193335,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK10(iPr_def_13))
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_13))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_13))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(sK10(iPr_def_13),nil))) ),
inference(superposition,[status(thm)],[c_174042,c_114]) ).
tcf(c_193336,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_174048,c_114]) ).
tcf(c_193337,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(sK60))
| ( nil = sK60 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ~ ssList(app(app(X0,cons(X1,X2)),sK60))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(sK50(sK60),sK49(sK60)))) ),
inference(superposition,[status(thm)],[c_176051,c_114]) ).
tcf(c_193338,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_176052,c_114]) ).
tcf(c_193339,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_176053,c_114]) ).
tcf(c_193340,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_176061,c_114]) ).
tcf(c_193341,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(sK60))
| ( nil = sK60 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ~ ssList(app(app(X0,cons(X1,X2)),sK60))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(sK60),tl(sK60)))) ),
inference(superposition,[status(thm)],[c_176242,c_114]) ).
tcf(c_193342,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_176243,c_114]) ).
tcf(c_193343,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_176244,c_114]) ).
tcf(c_193344,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_10))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(light_normalisation,[status(thm)],[c_193334,c_12917]) ).
tcf(c_193345,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_10))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193344,c_141,c_12925]) ).
tcf(c_193352,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_10),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_10),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_193324,c_12917]) ).
tcf(c_193353,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK57,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_193352,c_141,c_12925]) ).
tcf(c_193360,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_193318,c_174724]) ).
tcf(c_193361,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_193360,c_173031,c_141,c_12925]) ).
tcf(c_193367,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_193317,c_174723]) ).
tcf(c_193368,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_193367,c_173203,c_141,c_12925]) ).
tcf(c_193374,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_193316,c_174722]) ).
tcf(c_193375,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_193374,c_173202,c_141,c_12925]) ).
tcf(c_193381,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(app(cons(sK57,iPr_def_13),cons(X0,X1)))
| ~ ssList(app(cons(sK57,iPr_def_13),cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_193315,c_174721]) ).
tcf(c_193382,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(app(cons(sK57,iPr_def_13),cons(X0,X1)))
| ~ ssList(app(cons(sK57,iPr_def_13),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193381,c_172540,c_141,c_12925]) ).
tcf(c_193388,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_193314,c_174720]) ).
tcf(c_193389,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_193388,c_12924,c_141,c_12925]) ).
tcf(c_193395,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_193313,c_174719]) ).
tcf(c_193396,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_193395,c_12926,c_141,c_12925]) ).
tcf(c_193402,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(app(cons(sK57,sK60),cons(X0,X1)))
| ~ ssList(app(cons(sK57,sK60),cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_193312,c_174718]) ).
tcf(c_193403,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(app(cons(sK57,sK60),cons(X0,X1)))
| ~ ssList(app(cons(sK57,sK60),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193402,c_12927,c_141,c_12925]) ).
tcf(c_193409,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_193336,c_174048]) ).
tcf(c_193410,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_193409,c_141]) ).
tcf(c_193418,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK10(iPr_def_13))
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_13))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_13))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(light_normalisation,[status(thm)],[c_193335,c_174042]) ).
tcf(c_193419,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK10(iPr_def_13))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_13))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_13))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193418,c_141]) ).
tcf(c_193427,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_193326,c_174048]) ).
tcf(c_193428,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_193427,c_141]) ).
tcf(c_193436,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK10(iPr_def_13),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_13))
| ~ totalorderedP(app(app(X0,iPr_def_13),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_193325,c_174042]) ).
tcf(c_193437,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK10(iPr_def_13),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_13))
| ~ totalorderedP(app(app(X0,iPr_def_13),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193436,c_141]) ).
tcf(c_193454,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_193340,c_176061]) ).
tcf(c_193463,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_193330,c_176061]) ).
tcf(c_193472,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_13,sK57))
| ~ ssList(sK8(iPr_def_13,sK57))
| ~ totalorderedP(app(iPr_def_13,cons(X0,X1)))
| ~ ssList(app(iPr_def_13,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_193323,c_183611]) ).
tcf(c_193473,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_13,sK57))
| ~ ssList(sK8(iPr_def_13,sK57))
| ~ totalorderedP(app(iPr_def_13,cons(X0,X1)))
| ~ ssList(app(iPr_def_13,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193472,c_12925]) ).
tcf(c_193481,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_193322,c_183612]) ).
tcf(c_193482,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_193481,c_12925]) ).
tcf(c_193490,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_193321,c_183613]) ).
tcf(c_193491,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_193490,c_12925]) ).
tcf(c_193499,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_193320,c_183614]) ).
tcf(c_193500,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_193499,c_12925]) ).
tcf(c_193508,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ( nil = sK60 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK60))
| ~ ssList(app(cons(sK57,tl(sK60)),cons(X0,X1)))
| ~ totalorderedP(app(app(nil,cons(sK57,tl(sK60))),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193319,c_141,c_12925]) ).
tcf(c_193715,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_193716,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(cons(sK57,sK60),cons(X0,X1)))
| ~ strictorderedP(app(app(nil,cons(sK57,sK60)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_174718,c_122]) ).
tcf(c_193717,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_174719,c_122]) ).
tcf(c_193718,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_174720,c_122]) ).
tcf(c_193719,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(cons(sK57,iPr_def_13),cons(X0,X1)))
| ~ strictorderedP(app(app(nil,cons(sK57,iPr_def_13)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_174721,c_122]) ).
tcf(c_193720,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_174722,c_122]) ).
tcf(c_193721,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_174723,c_122]) ).
tcf(c_193722,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_174724,c_122]) ).
tcf(c_193723,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK60))
| ~ ssList(app(cons(sK57,tl(sK60)),cons(X0,X1)))
| ~ strictorderedP(app(app(nil,cons(sK57,tl(sK60))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_175806,c_122]) ).
tcf(c_193724,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_183614,c_122]) ).
tcf(c_193725,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_183613,c_122]) ).
tcf(c_193726,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_183612,c_122]) ).
tcf(c_193727,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_13,sK57))
| ~ ssList(sK8(iPr_def_13,sK57))
| ~ ssList(app(iPr_def_13,cons(X0,X1)))
| ~ strictorderedP(app(app(sK8(iPr_def_13,sK57),cons(sK57,sK9(iPr_def_13,sK57))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_183611,c_122]) ).
tcf(c_193728,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_10),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(sK57,nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_12917,c_122]) ).
tcf(c_193729,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK10(iPr_def_13),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_13))
| ~ ssList(app(app(X0,iPr_def_13),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(sK10(iPr_def_13),nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_174042,c_122]) ).
tcf(c_193730,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_174048,c_122]) ).
tcf(c_193731,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK50(sK60),X1)
| ( nil = sK60 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ~ ssList(app(app(X0,sK60),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(sK50(sK60),sK49(sK60))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_176051,c_122]) ).
tcf(c_193732,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_176052,c_122]) ).
tcf(c_193733,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_176053,c_122]) ).
tcf(c_193734,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_176061,c_122]) ).
tcf(c_193735,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(hd(sK60),X1)
| ( nil = sK60 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ~ ssList(app(app(X0,sK60),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(hd(sK60),tl(sK60))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_176242,c_122]) ).
tcf(c_193736,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_176243,c_122]) ).
tcf(c_193737,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_176244,c_122]) ).
tcf(c_193738,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_10))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(sK57,nil))) ),
inference(superposition,[status(thm)],[c_12917,c_122]) ).
tcf(c_193739,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK10(iPr_def_13))
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_13))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_13))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(sK10(iPr_def_13),nil))) ),
inference(superposition,[status(thm)],[c_174042,c_122]) ).
tcf(c_193740,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_174048,c_122]) ).
tcf(c_193741,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(sK60))
| ( nil = sK60 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ~ ssList(app(app(X0,cons(X1,X2)),sK60))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(sK50(sK60),sK49(sK60)))) ),
inference(superposition,[status(thm)],[c_176051,c_122]) ).
tcf(c_193742,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_176052,c_122]) ).
tcf(c_193743,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_176053,c_122]) ).
tcf(c_193744,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_176061,c_122]) ).
tcf(c_193745,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(sK60))
| ( nil = sK60 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ~ ssList(app(app(X0,cons(X1,X2)),sK60))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(sK60),tl(sK60)))) ),
inference(superposition,[status(thm)],[c_176242,c_122]) ).
tcf(c_193746,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_176243,c_122]) ).
tcf(c_193747,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_176244,c_122]) ).
tcf(c_193748,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_10))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(light_normalisation,[status(thm)],[c_193738,c_12917]) ).
tcf(c_193749,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_10))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193748,c_141,c_12925]) ).
tcf(c_193756,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_10),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_10),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_193728,c_12917]) ).
tcf(c_193757,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK57,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_193756,c_141,c_12925]) ).
tcf(c_193764,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_193722,c_174724]) ).
tcf(c_193765,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_193764,c_173031,c_141,c_12925]) ).
tcf(c_193771,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_193721,c_174723]) ).
tcf(c_193772,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_193771,c_173203,c_141,c_12925]) ).
tcf(c_193778,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_193720,c_174722]) ).
tcf(c_193779,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_193778,c_173202,c_141,c_12925]) ).
tcf(c_193785,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(app(cons(sK57,iPr_def_13),cons(X0,X1)))
| ~ ssList(app(cons(sK57,iPr_def_13),cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_193719,c_174721]) ).
tcf(c_193786,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(app(cons(sK57,iPr_def_13),cons(X0,X1)))
| ~ ssList(app(cons(sK57,iPr_def_13),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193785,c_172540,c_141,c_12925]) ).
tcf(c_193792,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_193718,c_174720]) ).
tcf(c_193793,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_193792,c_12924,c_141,c_12925]) ).
tcf(c_193799,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_193717,c_174719]) ).
tcf(c_193800,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_193799,c_12926,c_141,c_12925]) ).
tcf(c_193806,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(app(cons(sK57,sK60),cons(X0,X1)))
| ~ ssList(app(cons(sK57,sK60),cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_193716,c_174718]) ).
tcf(c_193807,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(app(cons(sK57,sK60),cons(X0,X1)))
| ~ ssList(app(cons(sK57,sK60),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193806,c_12927,c_141,c_12925]) ).
tcf(c_193813,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_193740,c_174048]) ).
tcf(c_193814,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_193813,c_141]) ).
tcf(c_193822,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK10(iPr_def_13))
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_13))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_13))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(light_normalisation,[status(thm)],[c_193739,c_174042]) ).
tcf(c_193823,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK10(iPr_def_13))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_13))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_13))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193822,c_141]) ).
tcf(c_193831,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_193730,c_174048]) ).
tcf(c_193832,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_193831,c_141]) ).
tcf(c_193840,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK10(iPr_def_13),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_13))
| ~ strictorderedP(app(app(X0,iPr_def_13),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_193729,c_174042]) ).
tcf(c_193841,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK10(iPr_def_13),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_13))
| ~ strictorderedP(app(app(X0,iPr_def_13),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193840,c_141]) ).
tcf(c_193858,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_193744,c_176061]) ).
tcf(c_193867,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_193734,c_176061]) ).
tcf(c_193876,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_13,sK57))
| ~ ssList(sK8(iPr_def_13,sK57))
| ~ strictorderedP(app(iPr_def_13,cons(X0,X1)))
| ~ ssList(app(iPr_def_13,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_193727,c_183611]) ).
tcf(c_193877,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_13,sK57))
| ~ ssList(sK8(iPr_def_13,sK57))
| ~ strictorderedP(app(iPr_def_13,cons(X0,X1)))
| ~ ssList(app(iPr_def_13,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193876,c_12925]) ).
tcf(c_193885,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_193726,c_183612]) ).
tcf(c_193886,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_193885,c_12925]) ).
tcf(c_193894,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_193725,c_183613]) ).
tcf(c_193895,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_193894,c_12925]) ).
tcf(c_193903,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_193724,c_183614]) ).
tcf(c_193904,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_193903,c_12925]) ).
tcf(c_193912,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ( nil = sK60 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK60))
| ~ ssList(app(cons(sK57,tl(sK60)),cons(X0,X1)))
| ~ strictorderedP(app(app(nil,cons(sK57,tl(sK60))),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193723,c_141,c_12925]) ).
tcf(c_194178,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_193006,c_70]) ).
tcf(c_194179,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_193006,c_190]) ).
tcf(c_194180,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_193006,c_191]) ).
tcf(c_194181,plain,
( ( iPr_def_10 = iPr_def_12 )
| ~ segmentP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194180,c_173203,c_173031]) ).
tcf(c_194184,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194179,c_173203,c_173031]) ).
tcf(c_194188,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_194178,c_173203,c_173031]) ).
tcf(c_194190,plain,
( ( tl(iPr_def_13) = nil )
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_13))
| ~ rearsegP(nil,tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_192903,c_184]) ).
tcf(c_194191,plain,
( ( app(sK12(tl(iPr_def_13),nil),nil) = tl(iPr_def_13) )
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_192903,c_66]) ).
tcf(c_194192,plain,
app(sK12(tl(iPr_def_13),nil),nil) = tl(iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_194191,c_141,c_182143]) ).
tcf(c_194193,plain,
( ( tl(iPr_def_13) = nil )
| ~ rearsegP(nil,tl(iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194190,c_141,c_182143]) ).
tcf(c_194196,plain,
( ( app(app(sK13(iPr_def_13,sK60),sK60),sK14(iPr_def_13,sK60)) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_192969,c_70]) ).
tcf(c_194197,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(superposition,[status(thm)],[c_192969,c_190]) ).
tcf(c_194198,plain,
( ( sK60 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK60)
| ~ segmentP(sK60,iPr_def_13) ),
inference(superposition,[status(thm)],[c_192969,c_191]) ).
tcf(c_194199,plain,
~ segmentP(sK60,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_194198,c_187864,c_172540,c_12927]) ).
tcf(c_194200,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194197,c_172540,c_12927]) ).
tcf(c_194204,plain,
app(app(sK13(iPr_def_13,sK60),sK60),sK14(iPr_def_13,sK60)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_194196,c_172540,c_12927]) ).
tcf(c_194205,plain,
( ( app(app(sK13(iPr_def_11,iPr_def_10),iPr_def_10),sK14(iPr_def_11,iPr_def_10)) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_193004,c_70]) ).
tcf(c_194206,plain,
! [X0: $i] :
( segmentP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_193004,c_190]) ).
tcf(c_194207,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ segmentP(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_193004,c_191]) ).
tcf(c_194208,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ segmentP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194207,c_173202,c_173031]) ).
tcf(c_194211,plain,
! [X0: $i] :
( segmentP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194206,c_173202,c_173031]) ).
tcf(c_194215,plain,
app(app(sK13(iPr_def_11,iPr_def_10),iPr_def_10),sK14(iPr_def_11,iPr_def_10)) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_194205,c_173202,c_173031]) ).
tcf(c_194218,plain,
( ( app(tl(iPr_def_13),sK11(tl(iPr_def_13),tl(iPr_def_13))) = tl(iPr_def_13) )
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_192904,c_63]) ).
tcf(c_194219,plain,
app(tl(iPr_def_13),sK11(tl(iPr_def_13),tl(iPr_def_13))) = tl(iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_194218,c_182143]) ).
tcf(c_194227,plain,
( segmentP(iPr_def_13,nil)
| ~ ssList(sK60)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_194,c_194200]) ).
tcf(c_194229,plain,
segmentP(iPr_def_13,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_194227,c_12927,c_141]) ).
tcf(c_194230,plain,
( ( app(app(sK13(iPr_def_13,nil),nil),sK14(iPr_def_13,nil)) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_194229,c_70]) ).
tcf(c_194231,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_194229,c_190]) ).
tcf(c_194232,plain,
( ( nil = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ segmentP(nil,iPr_def_13) ),
inference(superposition,[status(thm)],[c_194229,c_191]) ).
tcf(c_194233,plain,
~ segmentP(nil,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_194232,c_177327,c_172540,c_141]) ).
tcf(c_194234,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194231,c_172540,c_141]) ).
tcf(c_194238,plain,
app(app(sK13(iPr_def_13,nil),nil),sK14(iPr_def_13,nil)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_194230,c_172540,c_141]) ).
tcf(c_194239,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sK14(iPr_def_13,sK60))
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_13,sK60))
| ~ ssList(app(sK13(iPr_def_13,sK60),sK60))
| ~ ssList(app(app(app(sK13(iPr_def_13,sK60),sK60),sK14(iPr_def_13,sK60)),X0)) ),
inference(superposition,[status(thm)],[c_194204,c_67]) ).
tcf(c_194242,plain,
! [X0: $i] :
( memberP(sK14(iPr_def_13,sK60),X0)
| memberP(app(sK13(iPr_def_13,sK60),sK60),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0)
| ~ ssList(sK14(iPr_def_13,sK60))
| ~ ssList(app(sK13(iPr_def_13,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_194204,c_167]) ).
tcf(c_194245,plain,
( frontsegP(iPr_def_13,app(sK13(iPr_def_13,sK60),sK60))
| ~ ssList(sK14(iPr_def_13,sK60))
| ~ ssList(app(sK13(iPr_def_13,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_194204,c_378]) ).
tcf(c_194246,plain,
( rearsegP(iPr_def_13,sK14(iPr_def_13,sK60))
| ~ ssList(sK14(iPr_def_13,sK60))
| ~ ssList(app(sK13(iPr_def_13,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_194204,c_375]) ).
tcf(c_194248,plain,
! [X0: $i] :
( ( app(sK13(iPr_def_13,sK60),sK60) = X0 )
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_13,sK60))
| ~ ssList(app(sK13(iPr_def_13,sK60),sK60))
| ( app(X0,sK14(iPr_def_13,sK60)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_194204,c_225]) ).
tcf(c_194250,plain,
! [X0: $i] :
( ( sK14(iPr_def_13,sK60) = X0 )
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_13,sK60))
| ~ ssList(app(sK13(iPr_def_13,sK60),sK60))
| ( app(app(sK13(iPr_def_13,sK60),sK60),X0) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_194204,c_226]) ).
tcf(c_194251,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_13,sK60))
| ~ ssList(app(sK13(iPr_def_13,sK60),sK60))
| ~ frontsegP(app(sK13(iPr_def_13,sK60),sK60),X0) ),
inference(superposition,[status(thm)],[c_194204,c_176]) ).
tcf(c_194252,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ ssList(sK14(iPr_def_13,sK60))
| ~ ssList(app(sK13(iPr_def_13,sK60),sK60))
| ~ memberP(app(sK13(iPr_def_13,sK60),sK60),X0) ),
inference(superposition,[status(thm)],[c_194204,c_165]) ).
tcf(c_194253,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_13,sK60))
| ~ segmentP(sK14(iPr_def_13,sK60),X0)
| ~ ssList(app(sK13(iPr_def_13,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_194204,c_193]) ).
tcf(c_194254,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_13,sK60))
| ~ rearsegP(sK14(iPr_def_13,sK60),X0)
| ~ ssList(app(sK13(iPr_def_13,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_194204,c_186]) ).
tcf(c_194255,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ ssList(sK14(iPr_def_13,sK60))
| ~ memberP(sK14(iPr_def_13,sK60),X0)
| ~ ssList(app(sK13(iPr_def_13,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_194204,c_166]) ).
tcf(c_194256,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(sK14(iPr_def_13,sK60))
| ~ ssList(sK13(iPr_def_13,sK60)) ),
inference(superposition,[status(thm)],[c_194204,c_193]) ).
tcf(c_194306,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sK14(iPr_def_13,sK60))
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_13,sK60))
| ~ ssList(app(iPr_def_13,X0))
| ~ ssList(app(sK13(iPr_def_13,sK60),sK60)) ),
inference(light_normalisation,[status(thm)],[c_194239,c_194204]) ).
tcf(c_194399,plain,
( ( nil = sK60 )
| ~ ssList(nil)
| ( iPr_def_12 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_173237,c_186975]) ).
tcf(c_194400,plain,
( ( sK11(iPr_def_13,iPr_def_12) = sK60 )
| ~ ssList(sK11(iPr_def_13,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_177507,c_186975]) ).
tcf(c_194401,plain,
( ( sK11(iPr_def_12,iPr_def_12) = sK60 )
| ~ ssList(sK11(iPr_def_12,iPr_def_12))
| ( iPr_def_12 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_177490,c_186975]) ).
tcf(c_194404,plain,
( ( nil = sK60 )
| ( iPr_def_12 != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194399,c_141]) ).
tcf(c_194418,plain,
( ( sK11(iPr_def_11,sK59) = iPr_def_10 )
| ~ ssList(sK11(iPr_def_11,sK59)) ),
inference(superposition,[status(thm)],[c_177509,c_186983]) ).
tcf(c_194433,plain,
( frontsegP(nil,sK49(sK60))
| ( nil = sK60 )
| ~ frontsegP(iPr_def_10,sK60)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60)) ),
inference(superposition,[status(thm)],[c_176051,c_188786]) ).
tcf(c_194434,plain,
( frontsegP(nil,sK49(sK59))
| ( nil = sK59 )
| ~ frontsegP(iPr_def_10,sK59)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59)) ),
inference(superposition,[status(thm)],[c_176052,c_188786]) ).
tcf(c_194435,plain,
( frontsegP(nil,sK49(sK56))
| ( nil = sK56 )
| ~ frontsegP(iPr_def_10,sK56)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56)) ),
inference(superposition,[status(thm)],[c_176053,c_188786]) ).
tcf(c_194436,plain,
( frontsegP(nil,sK49(iPr_def_10))
| ~ frontsegP(iPr_def_10,iPr_def_10)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_176061,c_188786]) ).
tcf(c_194437,plain,
( frontsegP(nil,tl(sK60))
| ( nil = sK60 )
| ~ frontsegP(iPr_def_10,sK60)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60)) ),
inference(superposition,[status(thm)],[c_176242,c_188786]) ).
tcf(c_194438,plain,
( frontsegP(nil,tl(sK59))
| ( nil = sK59 )
| ~ frontsegP(iPr_def_10,sK59)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59)) ),
inference(superposition,[status(thm)],[c_176243,c_188786]) ).
tcf(c_194439,plain,
( frontsegP(nil,tl(sK56))
| ( nil = sK56 )
| ~ frontsegP(iPr_def_10,sK56)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56)) ),
inference(superposition,[status(thm)],[c_176244,c_188786]) ).
tcf(c_194440,plain,
( frontsegP(nil,sK49(iPr_def_10))
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194436,c_173969]) ).
tcf(c_194482,plain,
! [X0: $i] :
( segmentP(sK56,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_172965,c_189052]) ).
tcf(c_194483,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_189052,c_70]) ).
tcf(c_194484,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_189052,c_190]) ).
tcf(c_194485,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_189052,c_191]) ).
tcf(c_194486,plain,
! [X0: $i] :
( segmentP(sK56,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194482,c_141]) ).
tcf(c_194514,plain,
! [X0: $i] :
( segmentP(app(sK49(tl(sK60)),X0),nil)
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK60)))
| ~ ssList(app(app(sK49(tl(sK60)),nil),X0)) ),
inference(superposition,[status(thm)],[c_175809,c_67]) ).
tcf(c_194520,plain,
( frontsegP(sK49(tl(sK60)),sK49(tl(sK60)))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(nil)
| ~ ssList(sK49(tl(sK60))) ),
inference(superposition,[status(thm)],[c_175809,c_378]) ).
tcf(c_194521,plain,
( rearsegP(sK49(tl(sK60)),nil)
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(nil)
| ~ ssList(sK49(tl(sK60))) ),
inference(superposition,[status(thm)],[c_175809,c_375]) ).
tcf(c_194523,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( sK49(tl(sK60)) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK60)))
| ( app(X0,nil) != sK49(tl(sK60)) ) ),
inference(superposition,[status(thm)],[c_175809,c_225]) ).
tcf(c_194524,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ( tl(sK60) = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK60)))
| ( app(sK49(tl(sK60)),X0) != sK49(tl(sK60)) ) ),
inference(superposition,[status(thm)],[c_175809,c_226]) ).
tcf(c_194527,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK49(tl(sK60)),X1),X0)
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK49(tl(sK60))) ),
inference(superposition,[status(thm)],[c_175809,c_193]) ).
tcf(c_194528,plain,
! [X0: $i] :
( rearsegP(sK49(tl(sK60)),X0)
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK49(tl(sK60))) ),
inference(superposition,[status(thm)],[c_175809,c_186]) ).
tcf(c_194533,plain,
( rearsegP(sK49(tl(sK60)),nil)
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(sK49(tl(sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194521,c_141]) ).
tcf(c_194538,plain,
( frontsegP(sK49(tl(sK60)),sK49(tl(sK60)))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(sK49(tl(sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194520,c_141]) ).
tcf(c_194543,plain,
! [X0: $i] :
( rearsegP(sK49(tl(sK60)),X0)
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK49(tl(sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194528,c_141]) ).
tcf(c_194550,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK49(tl(sK60)),X1),X0)
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK49(tl(sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194527,c_141]) ).
tcf(c_194558,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ( tl(sK60) = nil )
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK60)))
| ( app(sK49(tl(sK60)),X0) != sK49(tl(sK60)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194524,c_141]) ).
tcf(c_194565,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( sK49(tl(sK60)) = X0 )
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK60)))
| ( app(X0,nil) != sK49(tl(sK60)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194523,c_141]) ).
tcf(c_194572,plain,
! [X0: $i] :
( segmentP(app(sK49(tl(sK60)),X0),nil)
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK60)))
| ~ ssList(app(app(sK49(tl(sK60)),nil),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194514,c_141]) ).
tcf(c_194579,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_13),X0),tl(iPr_def_13))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_13))
| ~ ssList(app(app(nil,tl(iPr_def_13)),X0)) ),
inference(superposition,[status(thm)],[c_182401,c_67]) ).
tcf(c_194585,plain,
( frontsegP(tl(iPr_def_13),nil)
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_182401,c_378]) ).
tcf(c_194586,plain,
( rearsegP(tl(iPr_def_13),tl(iPr_def_13))
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_182401,c_375]) ).
tcf(c_194588,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_13))
| ( app(X0,tl(iPr_def_13)) != tl(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_182401,c_225]) ).
tcf(c_194592,plain,
! [X0: $i] :
( ( tl(iPr_def_13) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_13))
| ( app(nil,X0) != tl(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_182401,c_226]) ).
tcf(c_194593,plain,
! [X0: $i] :
( frontsegP(tl(iPr_def_13),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_13))
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_182401,c_176]) ).
tcf(c_194595,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(iPr_def_13),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_13))
| ~ segmentP(tl(iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_182401,c_193]) ).
tcf(c_194598,plain,
frontsegP(tl(iPr_def_13),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_194585,c_141,c_182143]) ).
tcf(c_194599,plain,
rearsegP(tl(iPr_def_13),tl(iPr_def_13)),
inference(forward_subsumption_resolution,[status(thm)],[c_194586,c_141,c_182143]) ).
tcf(c_194600,plain,
! [X0: $i] :
( frontsegP(tl(iPr_def_13),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194593,c_141,c_182143]) ).
tcf(c_194604,plain,
! [X0: $i] :
( ( tl(iPr_def_13) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != tl(iPr_def_13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194592,c_141,c_182143]) ).
tcf(c_194608,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,tl(iPr_def_13)) != tl(iPr_def_13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194588,c_141,c_182143]) ).
tcf(c_194612,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(iPr_def_13),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(tl(iPr_def_13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194595,c_141,c_182143]) ).
tcf(c_194617,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_13),X0),tl(iPr_def_13))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_13))
| ~ ssList(app(tl(iPr_def_13),X0)) ),
inference(light_normalisation,[status(thm)],[c_194579,c_182401]) ).
tcf(c_194618,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_13),X0),tl(iPr_def_13))
| ~ ssList(X0)
| ~ ssList(app(tl(iPr_def_13),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194617,c_141,c_182143]) ).
tcf(c_194623,plain,
( ( tl(iPr_def_13) = nil )
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_13))
| ~ frontsegP(nil,tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_194598,c_174]) ).
tcf(c_194624,plain,
( ( app(nil,sK11(tl(iPr_def_13),nil)) = tl(iPr_def_13) )
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_194598,c_63]) ).
tcf(c_194625,plain,
app(nil,sK11(tl(iPr_def_13),nil)) = tl(iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_194624,c_141,c_182143]) ).
tcf(c_194626,plain,
( ( tl(iPr_def_13) = nil )
| ~ frontsegP(nil,tl(iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194623,c_141,c_182143]) ).
tcf(c_194631,plain,
( ( app(sK12(tl(iPr_def_13),tl(iPr_def_13)),tl(iPr_def_13)) = tl(iPr_def_13) )
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_194599,c_66]) ).
tcf(c_194632,plain,
app(sK12(tl(iPr_def_13),tl(iPr_def_13)),tl(iPr_def_13)) = tl(iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_194631,c_182143]) ).
tcf(c_194635,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,tl(iPr_def_11)) = nil )
| ( cons(sK57,tl(iPr_def_11)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(iPr_def_11)))
| ( hd(X0) != sK57 )
| ( tl(cons(sK57,tl(iPr_def_11))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_183733,c_223]) ).
tcf(c_194636,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK57,tl(iPr_def_11))))
| ( cons(sK57,tl(iPr_def_11)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(cons(sK57,tl(iPr_def_11)))
| ~ ssList(cons(sK57,tl(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_183733,c_212]) ).
tcf(c_194637,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK57,tl(iPr_def_11))))
| ( cons(sK57,tl(iPr_def_11)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(cons(sK57,tl(iPr_def_11)))
| ~ ssList(cons(sK57,tl(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_183733,c_206]) ).
tcf(c_194650,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,tl(iPr_def_11)) = nil )
| ( cons(sK57,tl(iPr_def_11)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(iPr_def_11)))
| ( tl(X0) != tl(iPr_def_11) )
| ( hd(X0) != sK57 ) ),
inference(light_normalisation,[status(thm)],[c_194635,c_183732]) ).
tcf(c_194658,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_11),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_11))
| ~ ssList(app(app(tl(iPr_def_11),nil),X0)) ),
inference(superposition,[status(thm)],[c_183737,c_67]) ).
tcf(c_194664,plain,
( frontsegP(tl(iPr_def_11),tl(iPr_def_11))
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_183737,c_378]) ).
tcf(c_194665,plain,
( rearsegP(tl(iPr_def_11),nil)
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_183737,c_375]) ).
tcf(c_194667,plain,
! [X0: $i] :
( ( tl(iPr_def_11) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_11))
| ( app(X0,nil) != tl(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_183737,c_225]) ).
tcf(c_194668,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_11))
| ( app(tl(iPr_def_11),X0) != tl(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_183737,c_226]) ).
tcf(c_194671,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(iPr_def_11),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_11))
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_183737,c_193]) ).
tcf(c_194672,plain,
! [X0: $i] :
( rearsegP(tl(iPr_def_11),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_11))
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_183737,c_186]) ).
tcf(c_194673,plain,
! [X0: $i] :
( memberP(tl(iPr_def_11),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(tl(iPr_def_11))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_183737,c_166]) ).
tcf(c_194677,plain,
rearsegP(tl(iPr_def_11),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_194665,c_141,c_182940]) ).
tcf(c_194678,plain,
frontsegP(tl(iPr_def_11),tl(iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_194664,c_141,c_182940]) ).
tcf(c_194680,plain,
! [X0: $i] :
( rearsegP(tl(iPr_def_11),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194672,c_141,c_182940]) ).
tcf(c_194684,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(iPr_def_11),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194671,c_141,c_182940]) ).
tcf(c_194689,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(tl(iPr_def_11),X0) != tl(iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194668,c_141,c_182940]) ).
tcf(c_194693,plain,
! [X0: $i] :
( ( tl(iPr_def_11) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != tl(iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194667,c_141,c_182940]) ).
tcf(c_194697,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_11),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_11))
| ~ ssList(app(tl(iPr_def_11),X0)) ),
inference(light_normalisation,[status(thm)],[c_194658,c_183737]) ).
tcf(c_194698,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_11),X0),nil)
| ~ ssList(X0)
| ~ ssList(app(tl(iPr_def_11),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194697,c_141,c_182940]) ).
tcf(c_194703,plain,
( ( tl(iPr_def_11) = nil )
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_11))
| ~ rearsegP(nil,tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_194677,c_184]) ).
tcf(c_194704,plain,
( ( app(sK12(tl(iPr_def_11),nil),nil) = tl(iPr_def_11) )
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_194677,c_66]) ).
tcf(c_194705,plain,
app(sK12(tl(iPr_def_11),nil),nil) = tl(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_194704,c_141,c_182940]) ).
tcf(c_194706,plain,
( ( tl(iPr_def_11) = nil )
| ~ rearsegP(nil,tl(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194703,c_141,c_182940]) ).
tcf(c_194717,plain,
! [X0: $i] :
( segmentP(iPr_def_11,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_12918,c_189057]) ).
tcf(c_194718,plain,
! [X0: $i] :
( segmentP(sK59,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_172964,c_189057]) ).
tcf(c_194720,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_189057,c_70]) ).
tcf(c_194721,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_189057,c_190]) ).
tcf(c_194722,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_189057,c_191]) ).
tcf(c_194723,plain,
! [X0: $i] :
( segmentP(sK59,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194718,c_141]) ).
tcf(c_194772,plain,
! [X0: $i] :
( segmentP(sK60,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_172963,c_189062]) ).
tcf(c_194773,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK13(app(sK60,X0),X1),X1),sK14(app(sK60,X0),X1)) = app(sK60,X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X1)
| ~ ssList(app(sK60,X0)) ),
inference(superposition,[status(thm)],[c_189062,c_70]) ).
tcf(c_194774,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(sK60,X0),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X1)
| ~ segmentP(X1,X2)
| ~ ssList(app(sK60,X0)) ),
inference(superposition,[status(thm)],[c_189062,c_190]) ).
tcf(c_194775,plain,
! [X0: $i,X1: $i] :
( ( app(sK60,X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(app(sK60,X1))
| ~ segmentP(X0,app(sK60,X1)) ),
inference(superposition,[status(thm)],[c_189062,c_191]) ).
tcf(c_194776,plain,
! [X0: $i] :
( segmentP(sK60,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194772,c_141]) ).
tcf(c_194807,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_189072,c_70]) ).
tcf(c_194808,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_189072,c_190]) ).
tcf(c_194809,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_189072,c_191]) ).
tcf(c_194863,plain,
! [X0: $i] :
( segmentP(iPr_def_11,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_12918,c_189077]) ).
tcf(c_194866,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_189077,c_70]) ).
tcf(c_194867,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_189077,c_190]) ).
tcf(c_194868,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_189077,c_191]) ).
tcf(c_194897,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK13(app(sK60,X0),X1),X1),sK14(app(sK60,X0),X1)) = app(sK60,X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X1)
| ~ ssList(app(sK60,X0)) ),
inference(superposition,[status(thm)],[c_189082,c_70]) ).
tcf(c_194898,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(sK60,X0),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X1)
| ~ segmentP(X1,X2)
| ~ ssList(app(sK60,X0)) ),
inference(superposition,[status(thm)],[c_189082,c_190]) ).
tcf(c_194899,plain,
! [X0: $i,X1: $i] :
( ( app(sK60,X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(app(sK60,X1))
| ~ segmentP(X0,app(sK60,X1)) ),
inference(superposition,[status(thm)],[c_189082,c_191]) ).
tcf(c_194926,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(superposition,[status(thm)],[c_172966,c_189092]) ).
tcf(c_194928,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK13(app(iPr_def_13,X0),X1),X1),sK14(app(iPr_def_13,X0),X1)) = app(iPr_def_13,X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X1)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_189092,c_70]) ).
tcf(c_194929,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(iPr_def_13,X0),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X1)
| ~ segmentP(X1,X2)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_189092,c_190]) ).
tcf(c_194930,plain,
! [X0: $i,X1: $i] :
( ( app(iPr_def_13,X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(app(iPr_def_13,X1))
| ~ segmentP(X0,app(iPr_def_13,X1)) ),
inference(superposition,[status(thm)],[c_189092,c_191]) ).
tcf(c_194958,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_12919,c_189102]) ).
tcf(c_194959,plain,
! [X0: $i] :
( segmentP(iPr_def_11,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_173235,c_189102]) ).
tcf(c_194962,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_181371,c_189102]) ).
tcf(c_194963,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK13(app(iPr_def_11,X0),X1),X1),sK14(app(iPr_def_11,X0),X1)) = app(iPr_def_11,X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X1)
| ~ ssList(app(iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_189102,c_70]) ).
tcf(c_194964,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(iPr_def_11,X0),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X1)
| ~ segmentP(X1,X2)
| ~ ssList(app(iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_189102,c_190]) ).
tcf(c_194965,plain,
! [X0: $i,X1: $i] :
( ( app(iPr_def_11,X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0)
| ~ ssList(app(iPr_def_11,X1))
| ~ segmentP(X0,app(iPr_def_11,X1)) ),
inference(superposition,[status(thm)],[c_189102,c_191]) ).
tcf(c_195000,plain,
( ( sK10(iPr_def_13) = sK57 )
| ~ ssList(nil)
| ~ frontsegP(iPr_def_13,iPr_def_10)
| ~ ssItem(sK10(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_174042,c_189534]) ).
tcf(c_195001,plain,
( ( sK10(iPr_def_10) = sK57 )
| ~ ssList(nil)
| ~ frontsegP(iPr_def_10,iPr_def_10)
| ~ ssItem(sK10(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_174048,c_189534]) ).
tcf(c_195002,plain,
( ( nil = sK60 )
| ( sK50(sK60) = sK57 )
| ~ frontsegP(sK60,iPr_def_10)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60)) ),
inference(superposition,[status(thm)],[c_176051,c_189534]) ).
tcf(c_195003,plain,
( ( nil = sK59 )
| ( sK50(sK59) = sK57 )
| ~ frontsegP(sK59,iPr_def_10)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59)) ),
inference(superposition,[status(thm)],[c_176052,c_189534]) ).
tcf(c_195004,plain,
( ( nil = sK56 )
| ( sK50(sK56) = sK57 )
| ~ frontsegP(sK56,iPr_def_10)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56)) ),
inference(superposition,[status(thm)],[c_176053,c_189534]) ).
tcf(c_195005,plain,
( ( sK50(iPr_def_10) = sK57 )
| ~ frontsegP(iPr_def_10,iPr_def_10)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_176061,c_189534]) ).
tcf(c_195006,plain,
( ( nil = sK60 )
| ( hd(sK60) = sK57 )
| ~ frontsegP(sK60,iPr_def_10)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60)) ),
inference(superposition,[status(thm)],[c_176242,c_189534]) ).
tcf(c_195007,plain,
( ( nil = sK59 )
| ( hd(sK59) = sK57 )
| ~ frontsegP(sK59,iPr_def_10)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59)) ),
inference(superposition,[status(thm)],[c_176243,c_189534]) ).
tcf(c_195008,plain,
( ( nil = sK56 )
| ( hd(sK56) = sK57 )
| ~ frontsegP(sK56,iPr_def_10)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56)) ),
inference(superposition,[status(thm)],[c_176244,c_189534]) ).
tcf(c_195010,plain,
( ( sK10(iPr_def_13) = sK57 )
| ~ frontsegP(iPr_def_13,iPr_def_10)
| ~ ssItem(sK10(iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195000,c_141]) ).
tcf(c_195014,plain,
( ( sK50(iPr_def_10) = sK57 )
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195005,c_173969]) ).
tcf(c_195080,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,tl(sK60)),X0),nil)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK60)))
| ~ ssList(app(app(cons(sK57,tl(sK60)),nil),X0)) ),
inference(superposition,[status(thm)],[c_175811,c_67]) ).
tcf(c_195086,plain,
( frontsegP(cons(sK57,tl(sK60)),cons(sK57,tl(sK60)))
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(cons(sK57,tl(sK60))) ),
inference(superposition,[status(thm)],[c_175811,c_378]) ).
tcf(c_195087,plain,
( rearsegP(cons(sK57,tl(sK60)),nil)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(cons(sK57,tl(sK60))) ),
inference(superposition,[status(thm)],[c_175811,c_375]) ).
tcf(c_195089,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( cons(sK57,tl(sK60)) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK60)))
| ( cons(sK57,tl(sK60)) != app(X0,nil) ) ),
inference(superposition,[status(thm)],[c_175811,c_225]) ).
tcf(c_195090,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK60)))
| ( app(cons(sK57,tl(sK60)),X0) != cons(sK57,tl(sK60)) ) ),
inference(superposition,[status(thm)],[c_175811,c_226]) ).
tcf(c_195093,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,tl(sK60)),X1),X0)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK57,tl(sK60))) ),
inference(superposition,[status(thm)],[c_175811,c_193]) ).
tcf(c_195094,plain,
! [X0: $i] :
( rearsegP(cons(sK57,tl(sK60)),X0)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,tl(sK60))) ),
inference(superposition,[status(thm)],[c_175811,c_186]) ).
tcf(c_195099,plain,
( rearsegP(cons(sK57,tl(sK60)),nil)
| ( nil = sK60 )
| ~ ssList(cons(sK57,tl(sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195087,c_141]) ).
tcf(c_195103,plain,
( frontsegP(cons(sK57,tl(sK60)),cons(sK57,tl(sK60)))
| ( nil = sK60 )
| ~ ssList(cons(sK57,tl(sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195086,c_141]) ).
tcf(c_195107,plain,
! [X0: $i] :
( rearsegP(cons(sK57,tl(sK60)),X0)
| ( nil = sK60 )
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,tl(sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195094,c_141]) ).
tcf(c_195113,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,tl(sK60)),X1),X0)
| ( nil = sK60 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK57,tl(sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195093,c_141]) ).
tcf(c_195120,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK60)))
| ( app(cons(sK57,tl(sK60)),X0) != cons(sK57,tl(sK60)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195090,c_141]) ).
tcf(c_195126,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( cons(sK57,tl(sK60)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK60)))
| ( cons(sK57,tl(sK60)) != app(X0,nil) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195089,c_141]) ).
tcf(c_195132,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,tl(sK60)),X0),nil)
| ( nil = sK60 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK60)))
| ~ ssList(app(app(cons(sK57,tl(sK60)),nil),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195080,c_141]) ).
tcf(c_195220,plain,
( ( app(tl(iPr_def_11),sK11(tl(iPr_def_11),tl(iPr_def_11))) = tl(iPr_def_11) )
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_194678,c_63]) ).
tcf(c_195221,plain,
app(tl(iPr_def_11),sK11(tl(iPr_def_11),tl(iPr_def_11))) = tl(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_195220,c_182940]) ).
tcf(c_195284,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_11),X0),tl(iPr_def_11))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_11))
| ~ ssList(app(app(nil,tl(iPr_def_11)),X0)) ),
inference(superposition,[status(thm)],[c_183738,c_67]) ).
tcf(c_195290,plain,
( frontsegP(tl(iPr_def_11),nil)
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_183738,c_378]) ).
tcf(c_195291,plain,
( rearsegP(tl(iPr_def_11),tl(iPr_def_11))
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_183738,c_375]) ).
tcf(c_195293,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_11))
| ( app(X0,tl(iPr_def_11)) != tl(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_183738,c_225]) ).
tcf(c_195297,plain,
! [X0: $i] :
( ( tl(iPr_def_11) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_11))
| ( app(nil,X0) != tl(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_183738,c_226]) ).
tcf(c_195298,plain,
! [X0: $i] :
( frontsegP(tl(iPr_def_11),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_11))
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_183738,c_176]) ).
tcf(c_195300,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(iPr_def_11),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_11))
| ~ segmentP(tl(iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_183738,c_193]) ).
tcf(c_195303,plain,
frontsegP(tl(iPr_def_11),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_195290,c_141,c_182940]) ).
tcf(c_195304,plain,
rearsegP(tl(iPr_def_11),tl(iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_195291,c_141,c_182940]) ).
tcf(c_195305,plain,
! [X0: $i] :
( frontsegP(tl(iPr_def_11),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195298,c_141,c_182940]) ).
tcf(c_195309,plain,
! [X0: $i] :
( ( tl(iPr_def_11) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != tl(iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195297,c_141,c_182940]) ).
tcf(c_195313,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,tl(iPr_def_11)) != tl(iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195293,c_141,c_182940]) ).
tcf(c_195317,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(iPr_def_11),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(tl(iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195300,c_141,c_182940]) ).
tcf(c_195322,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_11),X0),tl(iPr_def_11))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_11))
| ~ ssList(app(tl(iPr_def_11),X0)) ),
inference(light_normalisation,[status(thm)],[c_195284,c_183738]) ).
tcf(c_195323,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_11),X0),tl(iPr_def_11))
| ~ ssList(X0)
| ~ ssList(app(tl(iPr_def_11),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195322,c_141,c_182940]) ).
tcf(c_195340,plain,
( ( tl(iPr_def_11) = nil )
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_11))
| ~ frontsegP(nil,tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_195303,c_174]) ).
tcf(c_195341,plain,
( ( app(nil,sK11(tl(iPr_def_11),nil)) = tl(iPr_def_11) )
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_195303,c_63]) ).
tcf(c_195342,plain,
app(nil,sK11(tl(iPr_def_11),nil)) = tl(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_195341,c_141,c_182940]) ).
tcf(c_195343,plain,
( ( tl(iPr_def_11) = nil )
| ~ frontsegP(nil,tl(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195340,c_141,c_182940]) ).
tcf(c_195348,plain,
( ( app(sK12(tl(iPr_def_11),tl(iPr_def_11)),tl(iPr_def_11)) = tl(iPr_def_11) )
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_195304,c_66]) ).
tcf(c_195349,plain,
app(sK12(tl(iPr_def_11),tl(iPr_def_11)),tl(iPr_def_11)) = tl(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_195348,c_182940]) ).
tcf(c_195352,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_185435,c_223]) ).
tcf(c_195353,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_185435,c_212]) ).
tcf(c_195354,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_185435,c_206]) ).
tcf(c_195367,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_195352,c_185434]) ).
tcf(c_195375,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_185439,c_67]) ).
tcf(c_195381,plain,
( frontsegP(tl(iPr_def_12),tl(iPr_def_12))
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_185439,c_378]) ).
tcf(c_195382,plain,
( rearsegP(tl(iPr_def_12),nil)
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_185439,c_375]) ).
tcf(c_195384,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_185439,c_225]) ).
tcf(c_195385,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_185439,c_226]) ).
tcf(c_195388,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_185439,c_193]) ).
tcf(c_195389,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_185439,c_186]) ).
tcf(c_195390,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_185439,c_166]) ).
tcf(c_195394,plain,
rearsegP(tl(iPr_def_12),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_195382,c_141,c_184135]) ).
tcf(c_195395,plain,
frontsegP(tl(iPr_def_12),tl(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_195381,c_141,c_184135]) ).
tcf(c_195397,plain,
! [X0: $i] :
( rearsegP(tl(iPr_def_12),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195389,c_141,c_184135]) ).
tcf(c_195401,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_195388,c_141,c_184135]) ).
tcf(c_195406,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(tl(iPr_def_12),X0) != tl(iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195385,c_141,c_184135]) ).
tcf(c_195410,plain,
! [X0: $i] :
( ( tl(iPr_def_12) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != tl(iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195384,c_141,c_184135]) ).
tcf(c_195414,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_195375,c_185439]) ).
tcf(c_195415,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_195414,c_141,c_184135]) ).
tcf(c_195420,plain,
( ( tl(iPr_def_12) = nil )
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_12))
| ~ rearsegP(nil,tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_195394,c_184]) ).
tcf(c_195421,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_195394,c_66]) ).
tcf(c_195422,plain,
app(sK12(tl(iPr_def_12),nil),nil) = tl(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_195421,c_141,c_184135]) ).
tcf(c_195423,plain,
( ( tl(iPr_def_12) = nil )
| ~ rearsegP(nil,tl(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195420,c_141,c_184135]) ).
tcf(c_195428,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_195395,c_63]) ).
tcf(c_195429,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_195428,c_184135]) ).
tcf(c_195462,plain,
( ( sK10(iPr_def_13) = sK57 )
| ~ ssList(nil)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssItem(sK10(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_174042,c_189539]) ).
tcf(c_195464,plain,
( ( nil = sK60 )
| ( sK50(sK60) = sK57 )
| ~ frontsegP(iPr_def_10,sK60)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60)) ),
inference(superposition,[status(thm)],[c_176051,c_189539]) ).
tcf(c_195465,plain,
( ( nil = sK59 )
| ( sK50(sK59) = sK57 )
| ~ frontsegP(iPr_def_10,sK59)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59)) ),
inference(superposition,[status(thm)],[c_176052,c_189539]) ).
tcf(c_195466,plain,
( ( nil = sK56 )
| ( sK50(sK56) = sK57 )
| ~ frontsegP(iPr_def_10,sK56)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56)) ),
inference(superposition,[status(thm)],[c_176053,c_189539]) ).
tcf(c_195468,plain,
( ( nil = sK60 )
| ( hd(sK60) = sK57 )
| ~ frontsegP(iPr_def_10,sK60)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60)) ),
inference(superposition,[status(thm)],[c_176242,c_189539]) ).
tcf(c_195469,plain,
( ( nil = sK59 )
| ( hd(sK59) = sK57 )
| ~ frontsegP(iPr_def_10,sK59)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59)) ),
inference(superposition,[status(thm)],[c_176243,c_189539]) ).
tcf(c_195470,plain,
( ( nil = sK56 )
| ( hd(sK56) = sK57 )
| ~ frontsegP(iPr_def_10,sK56)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56)) ),
inference(superposition,[status(thm)],[c_176244,c_189539]) ).
tcf(c_195471,plain,
( ( sK10(iPr_def_13) = sK57 )
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssItem(sK10(iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195462,c_141]) ).
tcf(c_195523,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(light_normalisation,[status(thm)],[c_178040,c_184122]) ).
tcf(c_195524,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195523,c_141]) ).
tcf(c_195525,plain,
! [X0: $i] :
( memberP(sK60,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(light_normalisation,[status(thm)],[c_178045,c_184127]) ).
tcf(c_195526,plain,
! [X0: $i] :
( memberP(sK60,X0)
| ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195525,c_141]) ).
tcf(c_195551,plain,
! [X0: $i] :
( segmentP(app(tl(sK60),X0),nil)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ~ ssList(app(app(tl(sK60),nil),X0)) ),
inference(superposition,[status(thm)],[c_175812,c_67]) ).
tcf(c_195557,plain,
( frontsegP(tl(sK60),tl(sK60))
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(tl(sK60)) ),
inference(superposition,[status(thm)],[c_175812,c_378]) ).
tcf(c_195558,plain,
( rearsegP(tl(sK60),nil)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(tl(sK60)) ),
inference(superposition,[status(thm)],[c_175812,c_375]) ).
tcf(c_195560,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( tl(sK60) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ( app(X0,nil) != tl(sK60) ) ),
inference(superposition,[status(thm)],[c_175812,c_225]) ).
tcf(c_195561,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ( app(tl(sK60),X0) != tl(sK60) ) ),
inference(superposition,[status(thm)],[c_175812,c_226]) ).
tcf(c_195564,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(sK60),X1),X0)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_175812,c_193]) ).
tcf(c_195565,plain,
! [X0: $i] :
( rearsegP(tl(sK60),X0)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_175812,c_186]) ).
tcf(c_195566,plain,
! [X0: $i] :
( memberP(tl(sK60),X0)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(tl(sK60))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_175812,c_166]) ).
tcf(c_195570,plain,
( rearsegP(tl(sK60),nil)
| ( nil = sK60 )
| ~ ssList(tl(sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195558,c_141]) ).
tcf(c_195574,plain,
( frontsegP(tl(sK60),tl(sK60))
| ( nil = sK60 )
| ~ ssList(tl(sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195557,c_141]) ).
tcf(c_195578,plain,
! [X0: $i] :
( memberP(tl(sK60),X0)
| ( nil = sK60 )
| ~ ssItem(X0)
| ~ ssList(tl(sK60))
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195566,c_141]) ).
tcf(c_195584,plain,
! [X0: $i] :
( rearsegP(tl(sK60),X0)
| ( nil = sK60 )
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195565,c_141]) ).
tcf(c_195590,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(sK60),X1),X0)
| ( nil = sK60 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195564,c_141]) ).
tcf(c_195597,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ( app(tl(sK60),X0) != tl(sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195561,c_141]) ).
tcf(c_195603,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( tl(sK60) = X0 )
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ( app(X0,nil) != tl(sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195560,c_141]) ).
tcf(c_195609,plain,
! [X0: $i] :
( segmentP(app(tl(sK60),X0),nil)
| ( nil = sK60 )
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ~ ssList(app(app(tl(sK60),nil),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195551,c_141]) ).
tcf(c_195615,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_185440,c_67]) ).
tcf(c_195621,plain,
( frontsegP(tl(iPr_def_12),nil)
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_185440,c_378]) ).
tcf(c_195622,plain,
( rearsegP(tl(iPr_def_12),tl(iPr_def_12))
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_185440,c_375]) ).
tcf(c_195624,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_185440,c_225]) ).
tcf(c_195628,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_185440,c_226]) ).
tcf(c_195629,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_185440,c_176]) ).
tcf(c_195631,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_185440,c_193]) ).
tcf(c_195634,plain,
frontsegP(tl(iPr_def_12),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_195621,c_141,c_184135]) ).
tcf(c_195635,plain,
rearsegP(tl(iPr_def_12),tl(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_195622,c_141,c_184135]) ).
tcf(c_195636,plain,
! [X0: $i] :
( frontsegP(tl(iPr_def_12),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195629,c_141,c_184135]) ).
tcf(c_195640,plain,
! [X0: $i] :
( ( tl(iPr_def_12) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != tl(iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195628,c_141,c_184135]) ).
tcf(c_195644,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,tl(iPr_def_12)) != tl(iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195624,c_141,c_184135]) ).
tcf(c_195648,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_195631,c_141,c_184135]) ).
tcf(c_195653,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_195615,c_185440]) ).
tcf(c_195654,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_195653,c_141,c_184135]) ).
tcf(c_195688,plain,
( ( tl(iPr_def_12) = nil )
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(nil,tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_195634,c_174]) ).
tcf(c_195689,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_195634,c_63]) ).
tcf(c_195690,plain,
app(nil,sK11(tl(iPr_def_12),nil)) = tl(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_195689,c_141,c_184135]) ).
tcf(c_195691,plain,
( ( tl(iPr_def_12) = nil )
| ~ frontsegP(nil,tl(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195688,c_141,c_184135]) ).
tcf(c_195696,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_195635,c_66]) ).
tcf(c_195697,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_195696,c_184135]) ).
tcf(c_195713,plain,
segmentP(iPr_def_13,iPr_def_10),
inference(global_subsumption_just,[status(thm)],[c_193008,c_40329]) ).
tcf(c_195715,plain,
( ( app(app(sK13(iPr_def_13,iPr_def_10),iPr_def_10),sK14(iPr_def_13,iPr_def_10)) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_195713,c_70]) ).
tcf(c_195716,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_195713,c_190]) ).
tcf(c_195717,plain,
( ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_10)
| ~ segmentP(iPr_def_10,iPr_def_13) ),
inference(superposition,[status(thm)],[c_195713,c_191]) ).
tcf(c_195718,plain,
( ( iPr_def_10 = iPr_def_13 )
| ~ segmentP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195717,c_172540,c_173031]) ).
tcf(c_195721,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195716,c_172540,c_173031]) ).
tcf(c_195725,plain,
app(app(sK13(iPr_def_13,iPr_def_10),iPr_def_10),sK14(iPr_def_13,iPr_def_10)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_195715,c_172540,c_173031]) ).
tcf(c_195782,plain,
app(sK12(sK56,sK11(sK56,sK56)),sK11(sK56,sK56)) = sK56,
inference(global_subsumption_just,[status(thm)],[c_178350,c_40008]) ).
tcf(c_195785,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(light_normalisation,[status(thm)],[c_178570,c_185658]) ).
tcf(c_195787,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(light_normalisation,[status(thm)],[c_178575,c_185663]) ).
tcf(c_195789,plain,
! [X0: $i] :
( frontsegP(sK60,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(light_normalisation,[status(thm)],[c_178580,c_185668]) ).
tcf(c_195801,plain,
( ( nil = sK56 )
| ~ ssList(nil)
| ~ rearsegP(nil,sK56) ),
inference(light_normalisation,[status(thm)],[c_178775,c_182932]) ).
tcf(c_195803,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(light_normalisation,[status(thm)],[c_179022,c_182932]) ).
tcf(c_195805,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(light_normalisation,[status(thm)],[c_179027,c_184122]) ).
tcf(c_195811,plain,
! [X0: $i] :
( segmentP(app(tl(sK60),X0),tl(sK60))
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ~ ssList(app(app(nil,tl(sK60)),X0)) ),
inference(superposition,[status(thm)],[c_175813,c_67]) ).
tcf(c_195817,plain,
( frontsegP(tl(sK60),nil)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(tl(sK60)) ),
inference(superposition,[status(thm)],[c_175813,c_378]) ).
tcf(c_195818,plain,
( rearsegP(tl(sK60),tl(sK60))
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(tl(sK60)) ),
inference(superposition,[status(thm)],[c_175813,c_375]) ).
tcf(c_195820,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ( app(X0,tl(sK60)) != tl(sK60) ) ),
inference(superposition,[status(thm)],[c_175813,c_225]) ).
tcf(c_195824,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( tl(sK60) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ( app(nil,X0) != tl(sK60) ) ),
inference(superposition,[status(thm)],[c_175813,c_226]) ).
tcf(c_195825,plain,
! [X0: $i] :
( frontsegP(tl(sK60),X0)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_175813,c_176]) ).
tcf(c_195827,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(sK60),X1),X0)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ~ segmentP(tl(sK60),X0) ),
inference(superposition,[status(thm)],[c_175813,c_193]) ).
tcf(c_195830,plain,
( frontsegP(tl(sK60),nil)
| ( nil = sK60 )
| ~ ssList(tl(sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195817,c_141]) ).
tcf(c_195834,plain,
( rearsegP(tl(sK60),tl(sK60))
| ( nil = sK60 )
| ~ ssList(tl(sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195818,c_141]) ).
tcf(c_195838,plain,
! [X0: $i] :
( frontsegP(tl(sK60),X0)
| ( nil = sK60 )
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195825,c_141]) ).
tcf(c_195844,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( tl(sK60) = X0 )
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ( app(nil,X0) != tl(sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195824,c_141]) ).
tcf(c_195850,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ( app(X0,tl(sK60)) != tl(sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195820,c_141]) ).
tcf(c_195856,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(sK60),X1),X0)
| ( nil = sK60 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ~ segmentP(tl(sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195827,c_141]) ).
tcf(c_195863,plain,
! [X0: $i] :
( segmentP(app(tl(sK60),X0),tl(sK60))
| ( nil = sK60 )
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ~ ssList(app(app(nil,tl(sK60)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195811,c_141]) ).
tcf(c_195872,plain,
sK10(iPr_def_10) = sK57,
inference(global_subsumption_just,[status(thm)],[c_185655,c_40827]) ).
tcf(c_195876,plain,
cons(sK57,nil) = iPr_def_10,
inference(demodulation,[status(thm)],[c_174048,c_195872]) ).
tcf(c_195878,plain,
! [X0: $i] :
( rearsegP(sK60,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(light_normalisation,[status(thm)],[c_179032,c_184127]) ).
tcf(c_195890,plain,
app(sK12(sK59,sK11(sK59,sK59)),sK11(sK59,sK59)) = sK59,
inference(global_subsumption_just,[status(thm)],[c_179568,c_40380]) ).
tcf(c_195893,plain,
( ( nil = sK59 )
| ~ ssList(nil)
| ~ rearsegP(nil,sK59) ),
inference(light_normalisation,[status(thm)],[c_179571,c_184122]) ).
tcf(c_195895,plain,
app(sK12(sK60,sK11(sK60,sK60)),sK11(sK60,sK60)) = sK60,
inference(global_subsumption_just,[status(thm)],[c_179581,c_40445]) ).
tcf(c_195898,plain,
( ( nil = sK60 )
| ~ ssList(nil)
| ~ rearsegP(nil,sK60) ),
inference(light_normalisation,[status(thm)],[c_179584,c_184127]) ).
tcf(c_195900,plain,
app(sK12(sK56,sK56),sK11(sK56,sK12(sK56,sK56))) = sK56,
inference(global_subsumption_just,[status(thm)],[c_179632,c_40605]) ).
tcf(c_195903,plain,
( ( nil = sK56 )
| ~ ssList(nil)
| ~ frontsegP(nil,sK56) ),
inference(light_normalisation,[status(thm)],[c_179635,c_185658]) ).
tcf(c_195911,plain,
( ssList(tl(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(tl(sK59)) ),
inference(superposition,[status(thm)],[c_175850,c_221]) ).
tcf(c_195916,plain,
iPr_def_11 != iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_187893,c_31573,c_36948]) ).
tcf(c_196022,plain,
app(sK12(sK59,sK59),sK11(sK59,sK12(sK59,sK59))) = sK59,
inference(global_subsumption_just,[status(thm)],[c_180198,c_40701]) ).
tcf(c_196025,plain,
( ( nil = sK59 )
| ~ ssList(nil)
| ~ frontsegP(nil,sK59) ),
inference(light_normalisation,[status(thm)],[c_180201,c_185663]) ).
tcf(c_196027,plain,
app(sK12(sK60,sK60),sK11(sK60,sK12(sK60,sK60))) = sK60,
inference(global_subsumption_just,[status(thm)],[c_180211,c_40779]) ).
tcf(c_196030,plain,
( ( nil = sK60 )
| ~ ssList(nil)
| ~ frontsegP(nil,sK60) ),
inference(light_normalisation,[status(thm)],[c_180214,c_185668]) ).
tcf(c_196038,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( app(tl(sK60),sK8(X0,X1)) = tl(app(sK60,sK8(X0,X1))) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_181004]) ).
tcf(c_196039,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( app(tl(sK60),sK9(X0,X1)) = tl(app(sK60,sK9(X0,X1))) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_181004]) ).
tcf(c_196040,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( app(tl(sK60),app(X0,X1)) = tl(app(sK60,app(X0,X1))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_181004]) ).
tcf(c_196041,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( app(tl(sK60),sK11(X0,X1)) = tl(app(sK60,sK11(X0,X1))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_181004]) ).
tcf(c_196042,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( app(tl(sK60),sK12(X0,X1)) = tl(app(sK60,sK12(X0,X1))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_181004]) ).
tcf(c_196043,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( app(tl(sK60),sK13(X0,X1)) = tl(app(sK60,sK13(X0,X1))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_181004]) ).
tcf(c_196044,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( app(tl(sK60),sK14(X0,X1)) = tl(app(sK60,sK14(X0,X1))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_181004]) ).
tcf(c_196054,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK34(X0)) = tl(app(sK60,sK34(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_181004]) ).
tcf(c_196055,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK33(X0)) = tl(app(sK60,sK33(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_181004]) ).
tcf(c_196056,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK32(X0)) = tl(app(sK60,sK32(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_181004]) ).
tcf(c_196057,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK39(X0)) = tl(app(sK60,sK39(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_181004]) ).
tcf(c_196058,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK38(X0)) = tl(app(sK60,sK38(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_181004]) ).
tcf(c_196059,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK37(X0)) = tl(app(sK60,sK37(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_181004]) ).
tcf(c_196060,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK44(X0)) = tl(app(sK60,sK44(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_181004]) ).
tcf(c_196061,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK43(X0)) = tl(app(sK60,sK43(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_181004]) ).
tcf(c_196062,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK42(X0)) = tl(app(sK60,sK42(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_181004]) ).
tcf(c_196063,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK48(X0)) = tl(app(sK60,sK48(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_181004]) ).
tcf(c_196064,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK47(X0)) = tl(app(sK60,sK47(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_181004]) ).
tcf(c_196065,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( app(tl(sK60),cons(X0,X1)) = tl(app(sK60,cons(X0,X1))) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_181004]) ).
tcf(c_196066,plain,
( ( nil = sK60 )
| ( app(tl(sK60),nil) = tl(app(sK60,nil)) ) ),
inference(superposition,[status(thm)],[c_141,c_181004]) ).
tcf(c_196067,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ( app(tl(sK60),sK49(X0)) = tl(app(sK60,sK49(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_181004]) ).
tcf(c_196068,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ( app(tl(sK60),tl(X0)) = tl(app(sK60,tl(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_181004]) ).
tcf(c_196069,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ( app(tl(sK60),sK52(X0)) = tl(app(sK60,sK52(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_181004]) ).
tcf(c_196070,plain,
( ( nil = sK60 )
| ( app(tl(sK60),sK60) = tl(app(sK60,sK60)) ) ),
inference(superposition,[status(thm)],[c_12927,c_181004]) ).
tcf(c_196071,plain,
( ( nil = sK60 )
| ( app(tl(sK60),sK59) = tl(app(sK60,sK59)) ) ),
inference(superposition,[status(thm)],[c_12926,c_181004]) ).
tcf(c_196072,plain,
( ( nil = sK60 )
| ( app(tl(sK60),sK56) = tl(app(sK60,sK56)) ) ),
inference(superposition,[status(thm)],[c_12924,c_181004]) ).
tcf(c_196073,plain,
( ( nil = sK60 )
| ( app(tl(sK60),iPr_def_13) = tl(app(sK60,iPr_def_13)) ) ),
inference(superposition,[status(thm)],[c_172540,c_181004]) ).
tcf(c_196074,plain,
( ( nil = sK60 )
| ( app(tl(sK60),iPr_def_11) = tl(app(sK60,iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_173202,c_181004]) ).
tcf(c_196075,plain,
( ( nil = sK60 )
| ( app(tl(sK60),iPr_def_12) = tl(app(sK60,iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_173203,c_181004]) ).
tcf(c_196076,plain,
( ( nil = sK60 )
| ( app(tl(sK60),iPr_def_10) = tl(app(sK60,iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_173031,c_181004]) ).
tcf(c_196077,plain,
( ( nil = sK60 )
| ( app(tl(sK60),tl(sK60)) = tl(app(sK60,tl(sK60))) ) ),
inference(superposition,[status(thm)],[c_175448,c_181004]) ).
tcf(c_196078,plain,
( ( nil = sK60 )
| ( nil = sK59 )
| ( app(tl(sK60),tl(sK59)) = tl(app(sK60,tl(sK59))) ) ),
inference(superposition,[status(thm)],[c_175843,c_181004]) ).
tcf(c_196079,plain,
( ( nil = sK56 )
| ( nil = sK60 )
| ( app(tl(sK60),tl(sK56)) = tl(app(sK60,tl(sK56))) ) ),
inference(superposition,[status(thm)],[c_175889,c_181004]) ).
tcf(c_196080,plain,
( ( nil = sK60 )
| ( app(tl(sK60),tl(iPr_def_13)) = tl(app(sK60,tl(iPr_def_13))) ) ),
inference(superposition,[status(thm)],[c_182143,c_181004]) ).
tcf(c_196081,plain,
( ( nil = sK60 )
| ( app(tl(sK60),tl(iPr_def_11)) = tl(app(sK60,tl(iPr_def_11))) ) ),
inference(superposition,[status(thm)],[c_182940,c_181004]) ).
tcf(c_196082,plain,
( ( nil = sK60 )
| ( app(tl(sK60),tl(iPr_def_12)) = tl(app(sK60,tl(iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_184135,c_181004]) ).
tcf(c_196333,plain,
( ssList(app(tl(sK60),sK60))
| ( nil = sK60 )
| ( app(sK60,sK60) = nil )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_196070,c_151]) ).
tcf(c_196342,plain,
( ssList(app(tl(sK60),sK59))
| ( nil = sK60 )
| ( app(sK60,sK59) = nil )
| ~ ssList(app(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_196071,c_151]) ).
tcf(c_196351,plain,
( ssList(app(tl(sK60),sK56))
| ( nil = sK60 )
| ( app(sK60,sK56) = nil )
| ~ ssList(app(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_196072,c_151]) ).
tcf(c_196362,plain,
( ssItem(hd(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(tl(sK59)) ),
inference(superposition,[status(thm)],[c_175851,c_219]) ).
tcf(c_196499,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_181005]) ).
tcf(c_196500,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_181005]) ).
tcf(c_196501,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_181005]) ).
tcf(c_196502,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_181005]) ).
tcf(c_196503,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_181005]) ).
tcf(c_196504,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_181005]) ).
tcf(c_196505,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_181005]) ).
tcf(c_196515,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_181005]) ).
tcf(c_196516,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_181005]) ).
tcf(c_196517,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_181005]) ).
tcf(c_196518,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_181005]) ).
tcf(c_196519,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_181005]) ).
tcf(c_196520,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_181005]) ).
tcf(c_196521,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_181005]) ).
tcf(c_196522,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_181005]) ).
tcf(c_196523,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_181005]) ).
tcf(c_196524,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_181005]) ).
tcf(c_196525,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_181005]) ).
tcf(c_196526,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_181005]) ).
tcf(c_196527,plain,
( ( nil = sK59 )
| ( app(tl(sK59),nil) = tl(app(sK59,nil)) ) ),
inference(superposition,[status(thm)],[c_141,c_181005]) ).
tcf(c_196528,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_181005]) ).
tcf(c_196529,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_181005]) ).
tcf(c_196530,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_181005]) ).
tcf(c_196531,plain,
( ( nil = sK59 )
| ( app(tl(sK59),sK60) = tl(app(sK59,sK60)) ) ),
inference(superposition,[status(thm)],[c_12927,c_181005]) ).
tcf(c_196532,plain,
( ( nil = sK59 )
| ( app(tl(sK59),sK59) = tl(app(sK59,sK59)) ) ),
inference(superposition,[status(thm)],[c_12926,c_181005]) ).
tcf(c_196533,plain,
( ( nil = sK59 )
| ( app(tl(sK59),sK56) = tl(app(sK59,sK56)) ) ),
inference(superposition,[status(thm)],[c_12924,c_181005]) ).
tcf(c_196534,plain,
( ( nil = sK59 )
| ( app(tl(sK59),iPr_def_13) = tl(app(sK59,iPr_def_13)) ) ),
inference(superposition,[status(thm)],[c_172540,c_181005]) ).
tcf(c_196535,plain,
( ( nil = sK59 )
| ( app(tl(sK59),iPr_def_11) = tl(app(sK59,iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_173202,c_181005]) ).
tcf(c_196536,plain,
( ( nil = sK59 )
| ( app(tl(sK59),iPr_def_12) = tl(app(sK59,iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_173203,c_181005]) ).
tcf(c_196537,plain,
( ( nil = sK59 )
| ( app(tl(sK59),iPr_def_10) = tl(app(sK59,iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_173031,c_181005]) ).
tcf(c_196538,plain,
( ( nil = sK60 )
| ( nil = sK59 )
| ( app(tl(sK59),tl(sK60)) = tl(app(sK59,tl(sK60))) ) ),
inference(superposition,[status(thm)],[c_175448,c_181005]) ).
tcf(c_196539,plain,
( ( nil = sK59 )
| ( app(tl(sK59),tl(sK59)) = tl(app(sK59,tl(sK59))) ) ),
inference(superposition,[status(thm)],[c_175843,c_181005]) ).
tcf(c_196540,plain,
( ( nil = sK56 )
| ( nil = sK59 )
| ( app(tl(sK59),tl(sK56)) = tl(app(sK59,tl(sK56))) ) ),
inference(superposition,[status(thm)],[c_175889,c_181005]) ).
tcf(c_196541,plain,
( ( nil = sK59 )
| ( app(tl(sK59),tl(iPr_def_13)) = tl(app(sK59,tl(iPr_def_13))) ) ),
inference(superposition,[status(thm)],[c_182143,c_181005]) ).
tcf(c_196542,plain,
( ( nil = sK59 )
| ( app(tl(sK59),tl(iPr_def_11)) = tl(app(sK59,tl(iPr_def_11))) ) ),
inference(superposition,[status(thm)],[c_182940,c_181005]) ).
tcf(c_196543,plain,
( ( nil = sK59 )
| ( app(tl(sK59),tl(iPr_def_12)) = tl(app(sK59,tl(iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_184135,c_181005]) ).
tcf(c_196544,plain,
( ( nil = sK59 )
| ( app(tl(sK59),iPr_def_10) = tl(iPr_def_11) ) ),
inference(light_normalisation,[status(thm)],[c_196537,c_12918]) ).
tcf(c_196843,plain,
( ssList(app(tl(sK59),sK60))
| ( nil = sK59 )
| ( app(sK59,sK60) = nil )
| ~ ssList(app(sK59,sK60)) ),
inference(superposition,[status(thm)],[c_196531,c_151]) ).
tcf(c_196852,plain,
( ssList(app(tl(sK59),sK59))
| ( nil = sK59 )
| ( app(sK59,sK59) = nil )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_196532,c_151]) ).
tcf(c_196861,plain,
( ssList(app(tl(sK59),sK56))
| ( nil = sK59 )
| ( app(sK59,sK56) = nil )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_196533,c_151]) ).
tcf(c_196872,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_181006]) ).
tcf(c_196873,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_181006]) ).
tcf(c_196874,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_181006]) ).
tcf(c_196875,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_181006]) ).
tcf(c_196876,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_181006]) ).
tcf(c_196877,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_181006]) ).
tcf(c_196878,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_181006]) ).
tcf(c_196888,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_181006]) ).
tcf(c_196889,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_181006]) ).
tcf(c_196890,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_181006]) ).
tcf(c_196891,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_181006]) ).
tcf(c_196892,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_181006]) ).
tcf(c_196893,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_181006]) ).
tcf(c_196894,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_181006]) ).
tcf(c_196895,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_181006]) ).
tcf(c_196896,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_181006]) ).
tcf(c_196897,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_181006]) ).
tcf(c_196898,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_181006]) ).
tcf(c_196899,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_181006]) ).
tcf(c_196900,plain,
( ( nil = sK56 )
| ( app(tl(sK56),nil) = tl(app(sK56,nil)) ) ),
inference(superposition,[status(thm)],[c_141,c_181006]) ).
tcf(c_196901,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_181006]) ).
tcf(c_196902,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_181006]) ).
tcf(c_196903,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_181006]) ).
tcf(c_196904,plain,
( ( nil = sK56 )
| ( app(tl(sK56),sK60) = tl(app(sK56,sK60)) ) ),
inference(superposition,[status(thm)],[c_12927,c_181006]) ).
tcf(c_196905,plain,
( ( nil = sK56 )
| ( app(tl(sK56),sK59) = tl(app(sK56,sK59)) ) ),
inference(superposition,[status(thm)],[c_12926,c_181006]) ).
tcf(c_196906,plain,
( ( nil = sK56 )
| ( app(tl(sK56),sK56) = tl(app(sK56,sK56)) ) ),
inference(superposition,[status(thm)],[c_12924,c_181006]) ).
tcf(c_196907,plain,
( ( nil = sK56 )
| ( app(tl(sK56),iPr_def_13) = tl(app(sK56,iPr_def_13)) ) ),
inference(superposition,[status(thm)],[c_172540,c_181006]) ).
tcf(c_196908,plain,
( ( nil = sK56 )
| ( app(tl(sK56),iPr_def_11) = tl(app(sK56,iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_173202,c_181006]) ).
tcf(c_196909,plain,
( ( nil = sK56 )
| ( app(tl(sK56),iPr_def_12) = tl(app(sK56,iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_173203,c_181006]) ).
tcf(c_196910,plain,
( ( nil = sK56 )
| ( app(tl(sK56),iPr_def_10) = tl(app(sK56,iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_173031,c_181006]) ).
tcf(c_196911,plain,
( ( nil = sK56 )
| ( nil = sK60 )
| ( app(tl(sK56),tl(sK60)) = tl(app(sK56,tl(sK60))) ) ),
inference(superposition,[status(thm)],[c_175448,c_181006]) ).
tcf(c_196912,plain,
( ( nil = sK56 )
| ( nil = sK59 )
| ( app(tl(sK56),tl(sK59)) = tl(app(sK56,tl(sK59))) ) ),
inference(superposition,[status(thm)],[c_175843,c_181006]) ).
tcf(c_196913,plain,
( ( nil = sK56 )
| ( app(tl(sK56),tl(sK56)) = tl(app(sK56,tl(sK56))) ) ),
inference(superposition,[status(thm)],[c_175889,c_181006]) ).
tcf(c_196914,plain,
( ( nil = sK56 )
| ( app(tl(sK56),tl(iPr_def_13)) = tl(app(sK56,tl(iPr_def_13))) ) ),
inference(superposition,[status(thm)],[c_182143,c_181006]) ).
tcf(c_196915,plain,
( ( nil = sK56 )
| ( app(tl(sK56),tl(iPr_def_11)) = tl(app(sK56,tl(iPr_def_11))) ) ),
inference(superposition,[status(thm)],[c_182940,c_181006]) ).
tcf(c_196916,plain,
( ( nil = sK56 )
| ( app(tl(sK56),tl(iPr_def_12)) = tl(app(sK56,tl(iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_184135,c_181006]) ).
tcf(c_197217,plain,
( ssList(app(tl(sK56),sK60))
| ( nil = sK56 )
| ( app(sK56,sK60) = nil )
| ~ ssList(app(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_196904,c_151]) ).
tcf(c_197226,plain,
( ssList(app(tl(sK56),sK59))
| ( nil = sK56 )
| ( app(sK56,sK59) = nil )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_196905,c_151]) ).
tcf(c_197235,plain,
( ssList(app(tl(sK56),sK56))
| ( nil = sK56 )
| ( app(sK56,sK56) = nil )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_196906,c_151]) ).
tcf(c_197244,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK59))
| ~ ssList(app(cons(sK57,tl(sK59)),cons(X0,X1)))
| ~ strictorderedP(app(app(nil,cons(sK57,tl(sK59))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_175852,c_122]) ).
tcf(c_197245,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK59))
| ~ ssList(app(cons(sK57,tl(sK59)),cons(X0,X1)))
| ~ totalorderedP(app(app(nil,cons(sK57,tl(sK59))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_175852,c_114]) ).
tcf(c_197246,plain,
! [X0: $i] :
( ( nil = sK59 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ ssList(app(cons(sK57,tl(sK59)),cons(sK57,X0)))
| ~ duplicatefreeP(app(app(nil,cons(sK57,tl(sK59))),cons(sK57,X0))) ),
inference(superposition,[status(thm)],[c_175852,c_130]) ).
tcf(c_197250,plain,
( memberP(cons(sK57,tl(sK59)),sK57)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(tl(sK59))
| ~ ssList(app(nil,cons(sK57,tl(sK59)))) ),
inference(superposition,[status(thm)],[c_175852,c_54]) ).
tcf(c_197251,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,tl(sK59)),X0),cons(sK57,tl(sK59)))
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK59)))
| ~ ssList(app(app(nil,cons(sK57,tl(sK59))),X0)) ),
inference(superposition,[status(thm)],[c_175852,c_67]) ).
tcf(c_197257,plain,
( frontsegP(cons(sK57,tl(sK59)),nil)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(cons(sK57,tl(sK59))) ),
inference(superposition,[status(thm)],[c_175852,c_378]) ).
tcf(c_197258,plain,
( rearsegP(cons(sK57,tl(sK59)),cons(sK57,tl(sK59)))
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(cons(sK57,tl(sK59))) ),
inference(superposition,[status(thm)],[c_175852,c_375]) ).
tcf(c_197260,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK59)))
| ( app(X0,cons(sK57,tl(sK59))) != cons(sK57,tl(sK59)) ) ),
inference(superposition,[status(thm)],[c_175852,c_225]) ).
tcf(c_197264,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( cons(sK57,tl(sK59)) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK59)))
| ( cons(sK57,tl(sK59)) != app(nil,X0) ) ),
inference(superposition,[status(thm)],[c_175852,c_226]) ).
tcf(c_197265,plain,
! [X0: $i] :
( frontsegP(cons(sK57,tl(sK59)),X0)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,tl(sK59))) ),
inference(superposition,[status(thm)],[c_175852,c_176]) ).
tcf(c_197267,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,tl(sK59)),X1),X0)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK59)))
| ~ segmentP(cons(sK57,tl(sK59)),X0) ),
inference(superposition,[status(thm)],[c_175852,c_193]) ).
tcf(c_197270,plain,
( frontsegP(cons(sK57,tl(sK59)),nil)
| ( nil = sK59 )
| ~ ssList(cons(sK57,tl(sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197257,c_141]) ).
tcf(c_197274,plain,
( rearsegP(cons(sK57,tl(sK59)),cons(sK57,tl(sK59)))
| ( nil = sK59 )
| ~ ssList(cons(sK57,tl(sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197258,c_141]) ).
tcf(c_197278,plain,
! [X0: $i] :
( frontsegP(cons(sK57,tl(sK59)),X0)
| ( nil = sK59 )
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,tl(sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197265,c_141]) ).
tcf(c_197284,plain,
( memberP(cons(sK57,tl(sK59)),sK57)
| ( nil = sK59 )
| ~ ssList(tl(sK59))
| ~ ssList(app(nil,cons(sK57,tl(sK59)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197250,c_141,c_12925]) ).
tcf(c_197289,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( cons(sK57,tl(sK59)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK59)))
| ( cons(sK57,tl(sK59)) != app(nil,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197264,c_141]) ).
tcf(c_197295,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK59)))
| ( app(X0,cons(sK57,tl(sK59))) != cons(sK57,tl(sK59)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197260,c_141]) ).
tcf(c_197301,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,tl(sK59)),X1),X0)
| ( nil = sK59 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK59)))
| ~ segmentP(cons(sK57,tl(sK59)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197267,c_141]) ).
tcf(c_197324,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,tl(sK59)),X0),cons(sK57,tl(sK59)))
| ( nil = sK59 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK59)))
| ~ ssList(app(app(nil,cons(sK57,tl(sK59))),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197251,c_141]) ).
tcf(c_197338,plain,
! [X0: $i] :
( ( nil = sK59 )
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ ssList(app(cons(sK57,tl(sK59)),cons(sK57,X0)))
| ~ duplicatefreeP(app(app(nil,cons(sK57,tl(sK59))),cons(sK57,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197246,c_141,c_12925]) ).
tcf(c_197344,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ( nil = sK59 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK59))
| ~ ssList(app(cons(sK57,tl(sK59)),cons(X0,X1)))
| ~ totalorderedP(app(app(nil,cons(sK57,tl(sK59))),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197245,c_141,c_12925]) ).
tcf(c_197352,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ( nil = sK59 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK59))
| ~ ssList(app(cons(sK57,tl(sK59)),cons(X0,X1)))
| ~ strictorderedP(app(app(nil,cons(sK57,tl(sK59))),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197244,c_141,c_12925]) ).
tcf(c_197544,plain,
rearsegP(cons(sK57,iPr_def_10),nil),
inference(global_subsumption_just,[status(thm)],[c_173742,c_16972,c_86947]) ).
tcf(c_197547,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_197544,c_184]) ).
tcf(c_197548,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_197544,c_66]) ).
tcf(c_197549,plain,
( ( app(sK12(cons(sK57,iPr_def_10),nil),nil) = cons(sK57,iPr_def_10) )
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197548,c_141]) ).
tcf(c_197552,plain,
( ( cons(sK57,iPr_def_10) = nil )
| ~ ssList(cons(sK57,iPr_def_10))
| ~ rearsegP(nil,cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197547,c_141]) ).
tcf(c_197582,plain,
rearsegP(cons(sK57,iPr_def_12),nil),
inference(global_subsumption_just,[status(thm)],[c_173745,c_16975,c_86120]) ).
tcf(c_197585,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_197582,c_184]) ).
tcf(c_197586,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_197582,c_66]) ).
tcf(c_197587,plain,
( ( app(sK12(cons(sK57,iPr_def_12),nil),nil) = cons(sK57,iPr_def_12) )
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197586,c_141]) ).
tcf(c_197590,plain,
( ( cons(sK57,iPr_def_12) = nil )
| ~ ssList(cons(sK57,iPr_def_12))
| ~ rearsegP(nil,cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197585,c_141]) ).
tcf(c_197604,plain,
( ( sK10(iPr_def_13) = sK57 )
| ~ ssList(nil)
| ~ ssItem(sK10(iPr_def_13))
| ( iPr_def_10 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_174042,c_189982]) ).
tcf(c_197605,plain,
( ( nil = sK60 )
| ( sK50(sK60) = sK57 )
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ( sK60 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_176051,c_189982]) ).
tcf(c_197606,plain,
( ( nil = sK59 )
| ( sK50(sK59) = sK57 )
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ( sK59 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_176052,c_189982]) ).
tcf(c_197607,plain,
( ( nil = sK56 )
| ( sK50(sK56) = sK57 )
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ( sK56 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_176053,c_189982]) ).
tcf(c_197609,plain,
( ( nil = sK60 )
| ( hd(sK60) = sK57 )
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ( sK60 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_176242,c_189982]) ).
tcf(c_197610,plain,
( ( nil = sK59 )
| ( hd(sK59) = sK57 )
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ( sK59 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_176243,c_189982]) ).
tcf(c_197611,plain,
( ( nil = sK56 )
| ( hd(sK56) = sK57 )
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ( sK56 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_176244,c_189982]) ).
tcf(c_197612,plain,
( ( sK10(iPr_def_13) = sK57 )
| ~ ssItem(sK10(iPr_def_13))
| ( iPr_def_10 != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197604,c_141]) ).
tcf(c_197685,plain,
( ( nil = sK60 )
| ( sK49(sK60) = nil )
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ( sK60 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_176051,c_190118]) ).
tcf(c_197686,plain,
( ( nil = sK59 )
| ( sK49(sK59) = nil )
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ( sK59 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_176052,c_190118]) ).
tcf(c_197687,plain,
( ( nil = sK56 )
| ( sK49(sK56) = nil )
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ( sK56 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_176053,c_190118]) ).
tcf(c_197688,plain,
( ( sK49(iPr_def_10) = nil )
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_176061,c_190118]) ).
tcf(c_197689,plain,
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ( sK60 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_176242,c_190118]) ).
tcf(c_197690,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ( sK59 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_176243,c_190118]) ).
tcf(c_197691,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ( sK56 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_176244,c_190118]) ).
tcf(c_197731,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_182224]) ).
tcf(c_197732,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_182224]) ).
tcf(c_197733,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_182224]) ).
tcf(c_197734,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_182224]) ).
tcf(c_197735,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_182224]) ).
tcf(c_197736,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_182224]) ).
tcf(c_197737,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_182224]) ).
tcf(c_197747,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_182224]) ).
tcf(c_197748,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_182224]) ).
tcf(c_197749,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_182224]) ).
tcf(c_197750,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_182224]) ).
tcf(c_197751,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_182224]) ).
tcf(c_197752,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_182224]) ).
tcf(c_197753,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_182224]) ).
tcf(c_197754,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_182224]) ).
tcf(c_197755,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_182224]) ).
tcf(c_197756,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_182224]) ).
tcf(c_197757,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_182224]) ).
tcf(c_197758,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_182224]) ).
tcf(c_197759,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,nil)) = app(cons(sK57,X0),nil) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_141,c_182224]) ).
tcf(c_197760,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_182224]) ).
tcf(c_197761,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_182224]) ).
tcf(c_197762,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_182224]) ).
tcf(c_197763,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,sK60)) = app(cons(sK57,X0),sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12927,c_182224]) ).
tcf(c_197764,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,sK59)) = app(cons(sK57,X0),sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12926,c_182224]) ).
tcf(c_197765,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,sK56)) = app(cons(sK57,X0),sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12924,c_182224]) ).
tcf(c_197766,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,iPr_def_13)) = app(cons(sK57,X0),iPr_def_13) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_172540,c_182224]) ).
tcf(c_197767,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,iPr_def_11)) = app(cons(sK57,X0),iPr_def_11) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_173202,c_182224]) ).
tcf(c_197768,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,iPr_def_12)) = app(cons(sK57,X0),iPr_def_12) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_173203,c_182224]) ).
tcf(c_197769,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,iPr_def_10)) = app(cons(sK57,X0),iPr_def_10) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_173031,c_182224]) ).
tcf(c_197770,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( cons(sK57,app(X0,tl(sK60))) = app(cons(sK57,X0),tl(sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175448,c_182224]) ).
tcf(c_197771,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( cons(sK57,app(X0,tl(sK59))) = app(cons(sK57,X0),tl(sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175843,c_182224]) ).
tcf(c_197772,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( cons(sK57,app(X0,tl(sK56))) = app(cons(sK57,X0),tl(sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175889,c_182224]) ).
tcf(c_197773,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,tl(iPr_def_13))) = app(cons(sK57,X0),tl(iPr_def_13)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_182143,c_182224]) ).
tcf(c_197774,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,tl(iPr_def_11))) = app(cons(sK57,X0),tl(iPr_def_11)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_182940,c_182224]) ).
tcf(c_197775,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_184135,c_182224]) ).
tcf(c_198043,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(sK8(X0,X1),sK60)) = app(cons(sK57,sK8(X0,X1)),sK60) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_197763]) ).
tcf(c_198044,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(sK9(X0,X1),sK60)) = app(cons(sK57,sK9(X0,X1)),sK60) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_197763]) ).
tcf(c_198045,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(app(X0,X1),sK60)) = app(cons(sK57,app(X0,X1)),sK60) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_197763]) ).
tcf(c_198046,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(sK11(X0,X1),sK60)) = app(cons(sK57,sK11(X0,X1)),sK60) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_197763]) ).
tcf(c_198047,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(sK12(X0,X1),sK60)) = app(cons(sK57,sK12(X0,X1)),sK60) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_197763]) ).
tcf(c_198048,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(sK13(X0,X1),sK60)) = app(cons(sK57,sK13(X0,X1)),sK60) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_197763]) ).
tcf(c_198049,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(sK14(X0,X1),sK60)) = app(cons(sK57,sK14(X0,X1)),sK60) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_197763]) ).
tcf(c_198059,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( cons(sK57,app(sK34(X0),sK60)) = app(cons(sK57,sK34(X0)),sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_197763]) ).
tcf(c_198060,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( cons(sK57,app(sK33(X0),sK60)) = app(cons(sK57,sK33(X0)),sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_197763]) ).
tcf(c_198061,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( cons(sK57,app(sK32(X0),sK60)) = app(cons(sK57,sK32(X0)),sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_197763]) ).
tcf(c_198062,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( cons(sK57,app(sK39(X0),sK60)) = app(cons(sK57,sK39(X0)),sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_197763]) ).
tcf(c_198063,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( cons(sK57,app(sK38(X0),sK60)) = app(cons(sK57,sK38(X0)),sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_197763]) ).
tcf(c_198064,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( cons(sK57,app(sK37(X0),sK60)) = app(cons(sK57,sK37(X0)),sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_197763]) ).
tcf(c_198065,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( cons(sK57,app(sK44(X0),sK60)) = app(cons(sK57,sK44(X0)),sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_197763]) ).
tcf(c_198066,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( cons(sK57,app(sK43(X0),sK60)) = app(cons(sK57,sK43(X0)),sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_197763]) ).
tcf(c_198067,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( cons(sK57,app(sK42(X0),sK60)) = app(cons(sK57,sK42(X0)),sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_197763]) ).
tcf(c_198068,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( cons(sK57,app(sK48(X0),sK60)) = app(cons(sK57,sK48(X0)),sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_197763]) ).
tcf(c_198069,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( cons(sK57,app(sK47(X0),sK60)) = app(cons(sK57,sK47(X0)),sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_197763]) ).
tcf(c_198070,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(cons(X0,X1),sK60)) = app(cons(sK57,cons(X0,X1)),sK60) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_197763]) ).
tcf(c_198071,plain,
cons(sK57,app(nil,sK60)) = app(cons(sK57,nil),sK60),
inference(superposition,[status(thm)],[c_141,c_197763]) ).
tcf(c_198072,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,app(sK49(X0),sK60)) = app(cons(sK57,sK49(X0)),sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_197763]) ).
tcf(c_198073,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,app(tl(X0),sK60)) = app(cons(sK57,tl(X0)),sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_197763]) ).
tcf(c_198074,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,app(sK52(X0),sK60)) = app(cons(sK57,sK52(X0)),sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_197763]) ).
tcf(c_198075,plain,
cons(sK57,app(sK60,sK60)) = app(cons(sK57,sK60),sK60),
inference(superposition,[status(thm)],[c_12927,c_197763]) ).
tcf(c_198076,plain,
cons(sK57,app(sK59,sK60)) = app(cons(sK57,sK59),sK60),
inference(superposition,[status(thm)],[c_12926,c_197763]) ).
tcf(c_198077,plain,
cons(sK57,app(sK56,sK60)) = app(cons(sK57,sK56),sK60),
inference(superposition,[status(thm)],[c_12924,c_197763]) ).
tcf(c_198078,plain,
cons(sK57,app(iPr_def_13,sK60)) = app(cons(sK57,iPr_def_13),sK60),
inference(superposition,[status(thm)],[c_172540,c_197763]) ).
tcf(c_198079,plain,
cons(sK57,app(iPr_def_11,sK60)) = app(cons(sK57,iPr_def_11),sK60),
inference(superposition,[status(thm)],[c_173202,c_197763]) ).
tcf(c_198080,plain,
cons(sK57,app(iPr_def_12,sK60)) = app(cons(sK57,iPr_def_12),sK60),
inference(superposition,[status(thm)],[c_173203,c_197763]) ).
tcf(c_198081,plain,
cons(sK57,app(iPr_def_10,sK60)) = app(cons(sK57,iPr_def_10),sK60),
inference(superposition,[status(thm)],[c_173031,c_197763]) ).
tcf(c_198082,plain,
( ( nil = sK60 )
| ( cons(sK57,app(tl(sK60),sK60)) = app(cons(sK57,tl(sK60)),sK60) ) ),
inference(superposition,[status(thm)],[c_175448,c_197763]) ).
tcf(c_198083,plain,
( ( nil = sK59 )
| ( cons(sK57,app(tl(sK59),sK60)) = app(cons(sK57,tl(sK59)),sK60) ) ),
inference(superposition,[status(thm)],[c_175843,c_197763]) ).
tcf(c_198084,plain,
( ( nil = sK56 )
| ( cons(sK57,app(tl(sK56),sK60)) = app(cons(sK57,tl(sK56)),sK60) ) ),
inference(superposition,[status(thm)],[c_175889,c_197763]) ).
tcf(c_198085,plain,
cons(sK57,app(tl(iPr_def_13),sK60)) = app(cons(sK57,tl(iPr_def_13)),sK60),
inference(superposition,[status(thm)],[c_182143,c_197763]) ).
tcf(c_198086,plain,
cons(sK57,app(tl(iPr_def_11),sK60)) = app(cons(sK57,tl(iPr_def_11)),sK60),
inference(superposition,[status(thm)],[c_182940,c_197763]) ).
tcf(c_198087,plain,
cons(sK57,app(tl(iPr_def_12),sK60)) = app(cons(sK57,tl(iPr_def_12)),sK60),
inference(superposition,[status(thm)],[c_184135,c_197763]) ).
tcf(c_198088,plain,
app(cons(sK57,iPr_def_12),sK60) = cons(sK57,iPr_def_13),
inference(light_normalisation,[status(thm)],[c_198080,c_12920]) ).
tcf(c_198089,plain,
cons(sK57,sK60) = app(iPr_def_10,sK60),
inference(light_normalisation,[status(thm)],[c_198071,c_172878,c_195876]) ).
tcf(c_198335,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK60,sK60)),X0),sK60)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ~ ssList(app(app(cons(sK57,sK60),sK60),X0)) ),
inference(superposition,[status(thm)],[c_198075,c_67]) ).
tcf(c_198338,plain,
! [X0: $i] :
( memberP(sK60,X0)
| memberP(cons(sK57,sK60),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK60))
| ~ memberP(cons(sK57,app(sK60,sK60)),X0) ),
inference(superposition,[status(thm)],[c_198075,c_167]) ).
tcf(c_198339,plain,
( ( cons(sK57,sK60) = nil )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK60)) != nil ) ),
inference(superposition,[status(thm)],[c_198075,c_231]) ).
tcf(c_198340,plain,
( ( nil = sK60 )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK60)) != nil ) ),
inference(superposition,[status(thm)],[c_198075,c_230]) ).
tcf(c_198341,plain,
( frontsegP(cons(sK57,app(sK60,sK60)),cons(sK57,sK60))
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_198075,c_378]) ).
tcf(c_198342,plain,
( rearsegP(cons(sK57,app(sK60,sK60)),sK60)
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_198075,c_375]) ).
tcf(c_198343,plain,
( ssList(cons(sK57,app(sK60,sK60)))
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_198075,c_153]) ).
tcf(c_198344,plain,
! [X0: $i] :
( ( cons(sK57,sK60) = X0 )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK60)) != app(X0,sK60) ) ),
inference(superposition,[status(thm)],[c_198075,c_225]) ).
tcf(c_198345,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ( app(cons(sK57,sK60),X0) != cons(sK57,app(sK60,sK60)) ) ),
inference(superposition,[status(thm)],[c_198075,c_226]) ).
tcf(c_198346,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK60,sK60)),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ~ frontsegP(cons(sK57,sK60),X0) ),
inference(superposition,[status(thm)],[c_198075,c_176]) ).
tcf(c_198347,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK60,sK60)),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK60))
| ~ memberP(cons(sK57,sK60),X0) ),
inference(superposition,[status(thm)],[c_198075,c_165]) ).
tcf(c_198348,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK60,sK60)),X1),X0)
| ~ ssList(sK60)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_198075,c_193]) ).
tcf(c_198349,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK60,sK60)),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_198075,c_186]) ).
tcf(c_198350,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK60,sK60)),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_198075,c_166]) ).
tcf(c_198351,plain,
( ( cons(sK57,sK60) = iPr_def_12 )
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK60)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_198075,c_186318]) ).
tcf(c_198352,plain,
( ( cons(sK57,sK60) = nil )
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK60)) != sK60 ) ),
inference(superposition,[status(thm)],[c_198075,c_186310]) ).
tcf(c_198353,plain,
( ssList(cons(sK57,app(sK60,sK60)))
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198343,c_12927]) ).
tcf(c_198356,plain,
( rearsegP(cons(sK57,app(sK60,sK60)),sK60)
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198342,c_12927]) ).
tcf(c_198359,plain,
( frontsegP(cons(sK57,app(sK60,sK60)),cons(sK57,sK60))
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198341,c_12927]) ).
tcf(c_198368,plain,
( ( nil = sK60 )
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK60)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198340,c_12927]) ).
tcf(c_198372,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK60,sK60)),X0)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198350,c_12927]) ).
tcf(c_198377,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK60,sK60)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198349,c_12927]) ).
tcf(c_198382,plain,
( ( cons(sK57,sK60) = nil )
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK60)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198339,c_12927]) ).
tcf(c_198386,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK60,sK60)),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK60))
| ~ memberP(cons(sK57,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198347,c_12927]) ).
tcf(c_198391,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK60,sK60)),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ~ frontsegP(cons(sK57,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198346,c_12927]) ).
tcf(c_198396,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK60,sK60)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198348,c_12927]) ).
tcf(c_198402,plain,
! [X0: $i] :
( memberP(sK60,X0)
| memberP(cons(sK57,sK60),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK60))
| ~ memberP(cons(sK57,app(sK60,sK60)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198338,c_12927]) ).
tcf(c_198408,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ( app(cons(sK57,sK60),X0) != cons(sK57,app(sK60,sK60)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198345,c_12927]) ).
tcf(c_198413,plain,
! [X0: $i] :
( ( cons(sK57,sK60) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK60)) != app(X0,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198344,c_12927]) ).
tcf(c_198418,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK60,sK60)),X0),sK60)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ~ ssList(app(cons(sK57,app(sK60,sK60)),X0)) ),
inference(light_normalisation,[status(thm)],[c_198335,c_198075]) ).
tcf(c_198419,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK60,sK60)),X0),sK60)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ~ ssList(app(cons(sK57,app(sK60,sK60)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198418,c_12927]) ).
tcf(c_198436,plain,
ssList(cons(sK57,app(sK60,sK60))),
inference(global_subsumption_just,[status(thm)],[c_198353,c_43187,c_44373]) ).
tcf(c_198438,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK57,app(sK60,sK60))) = app(X0,app(X1,cons(sK57,app(sK60,sK60)))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_198436,c_228]) ).
tcf(c_198439,plain,
cons(sK57,app(cons(sK57,app(sK60,sK60)),sK60)) = app(cons(sK57,cons(sK57,app(sK60,sK60))),sK60),
inference(superposition,[status(thm)],[c_198436,c_197763]) ).
tcf(c_198440,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,app(sK60,sK60)))) = app(cons(sK57,X0),cons(sK57,app(sK60,sK60))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_198436,c_182224]) ).
tcf(c_198441,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK60,sK60))) = tl(app(sK56,cons(sK57,app(sK60,sK60)))) ) ),
inference(superposition,[status(thm)],[c_198436,c_181006]) ).
tcf(c_198442,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK60,sK60))) = tl(app(sK59,cons(sK57,app(sK60,sK60)))) ) ),
inference(superposition,[status(thm)],[c_198436,c_181005]) ).
tcf(c_198443,plain,
( ( nil = sK60 )
| ( app(tl(sK60),cons(sK57,app(sK60,sK60))) = tl(app(sK60,cons(sK57,app(sK60,sK60)))) ) ),
inference(superposition,[status(thm)],[c_198436,c_181004]) ).
tcf(c_198444,plain,
( duplicatefreeP(cons(sK57,app(sK60,sK60)))
| ( app(app(sK42(cons(sK57,app(sK60,sK60))),cons(sK40(cons(sK57,app(sK60,sK60))),sK43(cons(sK57,app(sK60,sK60))))),cons(sK41(cons(sK57,app(sK60,sK60))),sK44(cons(sK57,app(sK60,sK60))))) = cons(sK57,app(sK60,sK60)) ) ),
inference(superposition,[status(thm)],[c_198436,c_124]) ).
tcf(c_198445,plain,
( strictorderedP(cons(sK57,app(sK60,sK60)))
| ( app(app(sK37(cons(sK57,app(sK60,sK60))),cons(sK35(cons(sK57,app(sK60,sK60))),sK38(cons(sK57,app(sK60,sK60))))),cons(sK36(cons(sK57,app(sK60,sK60))),sK39(cons(sK57,app(sK60,sK60))))) = cons(sK57,app(sK60,sK60)) ) ),
inference(superposition,[status(thm)],[c_198436,c_116]) ).
tcf(c_198446,plain,
( totalorderedP(cons(sK57,app(sK60,sK60)))
| ( app(app(sK32(cons(sK57,app(sK60,sK60))),cons(sK30(cons(sK57,app(sK60,sK60))),sK33(cons(sK57,app(sK60,sK60))))),cons(sK31(cons(sK57,app(sK60,sK60))),sK34(cons(sK57,app(sK60,sK60))))) = cons(sK57,app(sK60,sK60)) ) ),
inference(superposition,[status(thm)],[c_198436,c_108]) ).
tcf(c_198447,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK60,sK60)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_198436,c_179266]) ).
tcf(c_198448,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK60,sK60)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_198436,c_179265]) ).
tcf(c_198449,plain,
( ( nil = sK60 )
| ( hd(app(sK60,cons(sK57,app(sK60,sK60)))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_198436,c_179264]) ).
tcf(c_198450,plain,
! [X0: $i] :
( ( cons(sK57,app(sK60,sK60)) = nil )
| ( app(tl(cons(sK57,app(sK60,sK60))),X0) = tl(app(cons(sK57,app(sK60,sK60)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_198436,c_234]) ).
tcf(c_198451,plain,
( equalelemsP(cons(sK57,app(sK60,sK60)))
| ( app(sK47(cons(sK57,app(sK60,sK60))),cons(sK45(cons(sK57,app(sK60,sK60))),cons(sK46(cons(sK57,app(sK60,sK60))),sK48(cons(sK57,app(sK60,sK60)))))) = cons(sK57,app(sK60,sK60)) ) ),
inference(superposition,[status(thm)],[c_198436,c_132]) ).
tcf(c_198452,plain,
! [X0: $i] :
( ( cons(sK57,app(sK60,sK60)) = nil )
| ( hd(app(cons(sK57,app(sK60,sK60)),X0)) = hd(cons(sK57,app(sK60,sK60))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_198436,c_233]) ).
tcf(c_198453,plain,
( ( cons(sK57,app(sK60,sK60)) = nil )
| ( cons(hd(cons(sK57,app(sK60,sK60))),tl(cons(sK57,app(sK60,sK60)))) = cons(sK57,app(sK60,sK60)) ) ),
inference(superposition,[status(thm)],[c_198436,c_224]) ).
tcf(c_198454,plain,
( ( cons(sK57,app(sK60,sK60)) = nil )
| ( cons(sK50(cons(sK57,app(sK60,sK60))),sK49(cons(sK57,app(sK60,sK60)))) = cons(sK57,app(sK60,sK60)) ) ),
inference(superposition,[status(thm)],[c_198436,c_147]) ).
tcf(c_198455,plain,
( ( cons(sK57,app(sK60,sK60)) = nil )
| ( tl(cons(sK57,app(sK60,sK60))) = sK52(cons(sK57,app(sK60,sK60))) ) ),
inference(superposition,[status(thm)],[c_198436,c_222]) ).
tcf(c_198456,plain,
( ( cons(sK57,app(sK60,sK60)) = nil )
| ( hd(cons(sK57,app(sK60,sK60))) = sK51(cons(sK57,app(sK60,sK60))) ) ),
inference(superposition,[status(thm)],[c_198436,c_220]) ).
tcf(c_198457,plain,
app(nil,cons(sK57,cons(sK57,app(sK60,sK60)))) = cons(sK57,cons(sK57,app(sK60,sK60))),
inference(superposition,[status(thm)],[c_198436,c_173594]) ).
tcf(c_198458,plain,
tl(cons(sK57,cons(sK57,app(sK60,sK60)))) = cons(sK57,app(sK60,sK60)),
inference(superposition,[status(thm)],[c_198436,c_174232]) ).
tcf(c_198459,plain,
hd(cons(sK57,cons(sK57,app(sK60,sK60)))) = sK57,
inference(superposition,[status(thm)],[c_198436,c_174111]) ).
tcf(c_198460,plain,
( ( cons(sK57,app(sK60,sK60)) = nil )
| ( app(sK49(cons(sK57,app(sK60,sK60))),nil) = sK49(cons(sK57,app(sK60,sK60))) ) ),
inference(superposition,[status(thm)],[c_198436,c_173044]) ).
tcf(c_198461,plain,
( duplicatefreeP(cons(sK57,app(sK60,sK60)))
| ( sK40(cons(sK57,app(sK60,sK60))) = sK41(cons(sK57,app(sK60,sK60))) ) ),
inference(superposition,[status(thm)],[c_198436,c_123]) ).
tcf(c_198462,plain,
app(cons(sK57,cons(sK57,app(sK60,sK60))),nil) = cons(sK57,cons(sK57,app(sK60,sK60))),
inference(superposition,[status(thm)],[c_198436,c_173094]) ).
tcf(c_198463,plain,
app(cons(sK57,app(sK60,sK60)),nil) = cons(sK57,app(sK60,sK60)),
inference(superposition,[status(thm)],[c_198436,c_232]) ).
tcf(c_198464,plain,
app(nil,cons(sK57,app(sK60,sK60))) = cons(sK57,app(sK60,sK60)),
inference(superposition,[status(thm)],[c_198436,c_155]) ).
tcf(c_198577,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK59,sK60)),X0),sK60)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ ssList(app(app(cons(sK57,sK59),sK60),X0)) ),
inference(superposition,[status(thm)],[c_198076,c_67]) ).
tcf(c_198580,plain,
! [X0: $i] :
( memberP(sK60,X0)
| memberP(cons(sK57,sK59),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK59))
| ~ memberP(cons(sK57,app(sK59,sK60)),X0) ),
inference(superposition,[status(thm)],[c_198076,c_167]) ).
tcf(c_198581,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK60)) != nil ) ),
inference(superposition,[status(thm)],[c_198076,c_231]) ).
tcf(c_198582,plain,
( ( nil = sK60 )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK60)) != nil ) ),
inference(superposition,[status(thm)],[c_198076,c_230]) ).
tcf(c_198583,plain,
( frontsegP(cons(sK57,app(sK59,sK60)),cons(sK57,sK59))
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_198076,c_378]) ).
tcf(c_198584,plain,
( rearsegP(cons(sK57,app(sK59,sK60)),sK60)
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_198076,c_375]) ).
tcf(c_198585,plain,
( ssList(cons(sK57,app(sK59,sK60)))
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_198076,c_153]) ).
tcf(c_198586,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK60)) != app(X0,sK60) ) ),
inference(superposition,[status(thm)],[c_198076,c_225]) ).
tcf(c_198587,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ( app(cons(sK57,sK59),X0) != cons(sK57,app(sK59,sK60)) ) ),
inference(superposition,[status(thm)],[c_198076,c_226]) ).
tcf(c_198588,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK59,sK60)),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ frontsegP(cons(sK57,sK59),X0) ),
inference(superposition,[status(thm)],[c_198076,c_176]) ).
tcf(c_198589,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK60)),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK59))
| ~ memberP(cons(sK57,sK59),X0) ),
inference(superposition,[status(thm)],[c_198076,c_165]) ).
tcf(c_198590,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK59,sK60)),X1),X0)
| ~ ssList(sK60)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_198076,c_193]) ).
tcf(c_198591,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK60)),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_198076,c_186]) ).
tcf(c_198592,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK60)),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_198076,c_166]) ).
tcf(c_198593,plain,
( ( cons(sK57,sK59) = iPr_def_12 )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK60)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_198076,c_186318]) ).
tcf(c_198594,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK60)) != sK60 ) ),
inference(superposition,[status(thm)],[c_198076,c_186310]) ).
tcf(c_198595,plain,
( ssList(cons(sK57,app(sK59,sK60)))
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198585,c_12927]) ).
tcf(c_198598,plain,
( rearsegP(cons(sK57,app(sK59,sK60)),sK60)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198584,c_12927]) ).
tcf(c_198601,plain,
( frontsegP(cons(sK57,app(sK59,sK60)),cons(sK57,sK59))
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198583,c_12927]) ).
tcf(c_198610,plain,
( ( nil = sK60 )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK60)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198582,c_12927]) ).
tcf(c_198614,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK60)),X0)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198592,c_12927]) ).
tcf(c_198619,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK60)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198591,c_12927]) ).
tcf(c_198624,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK60)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198581,c_12927]) ).
tcf(c_198628,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK60)),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK59))
| ~ memberP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198589,c_12927]) ).
tcf(c_198633,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK59,sK60)),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ frontsegP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198588,c_12927]) ).
tcf(c_198638,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK59,sK60)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198590,c_12927]) ).
tcf(c_198644,plain,
! [X0: $i] :
( memberP(sK60,X0)
| memberP(cons(sK57,sK59),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK59))
| ~ memberP(cons(sK57,app(sK59,sK60)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198580,c_12927]) ).
tcf(c_198650,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ( app(cons(sK57,sK59),X0) != cons(sK57,app(sK59,sK60)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198587,c_12927]) ).
tcf(c_198655,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK60)) != app(X0,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198586,c_12927]) ).
tcf(c_198660,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK59,sK60)),X0),sK60)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ ssList(app(cons(sK57,app(sK59,sK60)),X0)) ),
inference(light_normalisation,[status(thm)],[c_198577,c_198076]) ).
tcf(c_198661,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK59,sK60)),X0),sK60)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ ssList(app(cons(sK57,app(sK59,sK60)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198660,c_12927]) ).
tcf(c_198773,plain,
ssList(cons(sK57,app(sK59,sK60))),
inference(global_subsumption_just,[status(thm)],[c_198595,c_43785,c_45941]) ).
tcf(c_198775,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK57,app(sK59,sK60))) = app(X0,app(X1,cons(sK57,app(sK59,sK60)))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_198773,c_228]) ).
tcf(c_198776,plain,
cons(sK57,app(cons(sK57,app(sK59,sK60)),sK60)) = app(cons(sK57,cons(sK57,app(sK59,sK60))),sK60),
inference(superposition,[status(thm)],[c_198773,c_197763]) ).
tcf(c_198777,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,app(sK59,sK60)))) = app(cons(sK57,X0),cons(sK57,app(sK59,sK60))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_198773,c_182224]) ).
tcf(c_198778,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK59,sK60))) = tl(app(sK56,cons(sK57,app(sK59,sK60)))) ) ),
inference(superposition,[status(thm)],[c_198773,c_181006]) ).
tcf(c_198779,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK59,sK60))) = tl(app(sK59,cons(sK57,app(sK59,sK60)))) ) ),
inference(superposition,[status(thm)],[c_198773,c_181005]) ).
tcf(c_198780,plain,
( ( nil = sK60 )
| ( app(tl(sK60),cons(sK57,app(sK59,sK60))) = tl(app(sK60,cons(sK57,app(sK59,sK60)))) ) ),
inference(superposition,[status(thm)],[c_198773,c_181004]) ).
tcf(c_198781,plain,
( duplicatefreeP(cons(sK57,app(sK59,sK60)))
| ( app(app(sK42(cons(sK57,app(sK59,sK60))),cons(sK40(cons(sK57,app(sK59,sK60))),sK43(cons(sK57,app(sK59,sK60))))),cons(sK41(cons(sK57,app(sK59,sK60))),sK44(cons(sK57,app(sK59,sK60))))) = cons(sK57,app(sK59,sK60)) ) ),
inference(superposition,[status(thm)],[c_198773,c_124]) ).
tcf(c_198782,plain,
( strictorderedP(cons(sK57,app(sK59,sK60)))
| ( app(app(sK37(cons(sK57,app(sK59,sK60))),cons(sK35(cons(sK57,app(sK59,sK60))),sK38(cons(sK57,app(sK59,sK60))))),cons(sK36(cons(sK57,app(sK59,sK60))),sK39(cons(sK57,app(sK59,sK60))))) = cons(sK57,app(sK59,sK60)) ) ),
inference(superposition,[status(thm)],[c_198773,c_116]) ).
tcf(c_198783,plain,
( totalorderedP(cons(sK57,app(sK59,sK60)))
| ( app(app(sK32(cons(sK57,app(sK59,sK60))),cons(sK30(cons(sK57,app(sK59,sK60))),sK33(cons(sK57,app(sK59,sK60))))),cons(sK31(cons(sK57,app(sK59,sK60))),sK34(cons(sK57,app(sK59,sK60))))) = cons(sK57,app(sK59,sK60)) ) ),
inference(superposition,[status(thm)],[c_198773,c_108]) ).
tcf(c_198784,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK59,sK60)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_198773,c_179266]) ).
tcf(c_198785,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK59,sK60)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_198773,c_179265]) ).
tcf(c_198786,plain,
( ( nil = sK60 )
| ( hd(app(sK60,cons(sK57,app(sK59,sK60)))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_198773,c_179264]) ).
tcf(c_198787,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK60)) = nil )
| ( app(tl(cons(sK57,app(sK59,sK60))),X0) = tl(app(cons(sK57,app(sK59,sK60)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_198773,c_234]) ).
tcf(c_198788,plain,
( equalelemsP(cons(sK57,app(sK59,sK60)))
| ( app(sK47(cons(sK57,app(sK59,sK60))),cons(sK45(cons(sK57,app(sK59,sK60))),cons(sK46(cons(sK57,app(sK59,sK60))),sK48(cons(sK57,app(sK59,sK60)))))) = cons(sK57,app(sK59,sK60)) ) ),
inference(superposition,[status(thm)],[c_198773,c_132]) ).
tcf(c_198789,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK60)) = nil )
| ( hd(app(cons(sK57,app(sK59,sK60)),X0)) = hd(cons(sK57,app(sK59,sK60))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_198773,c_233]) ).
tcf(c_198790,plain,
( ( cons(sK57,app(sK59,sK60)) = nil )
| ( cons(hd(cons(sK57,app(sK59,sK60))),tl(cons(sK57,app(sK59,sK60)))) = cons(sK57,app(sK59,sK60)) ) ),
inference(superposition,[status(thm)],[c_198773,c_224]) ).
tcf(c_198791,plain,
( ( cons(sK57,app(sK59,sK60)) = nil )
| ( cons(sK50(cons(sK57,app(sK59,sK60))),sK49(cons(sK57,app(sK59,sK60)))) = cons(sK57,app(sK59,sK60)) ) ),
inference(superposition,[status(thm)],[c_198773,c_147]) ).
tcf(c_198792,plain,
( ( cons(sK57,app(sK59,sK60)) = nil )
| ( tl(cons(sK57,app(sK59,sK60))) = sK52(cons(sK57,app(sK59,sK60))) ) ),
inference(superposition,[status(thm)],[c_198773,c_222]) ).
tcf(c_198793,plain,
( ( cons(sK57,app(sK59,sK60)) = nil )
| ( hd(cons(sK57,app(sK59,sK60))) = sK51(cons(sK57,app(sK59,sK60))) ) ),
inference(superposition,[status(thm)],[c_198773,c_220]) ).
tcf(c_198794,plain,
app(nil,cons(sK57,cons(sK57,app(sK59,sK60)))) = cons(sK57,cons(sK57,app(sK59,sK60))),
inference(superposition,[status(thm)],[c_198773,c_173594]) ).
tcf(c_198795,plain,
tl(cons(sK57,cons(sK57,app(sK59,sK60)))) = cons(sK57,app(sK59,sK60)),
inference(superposition,[status(thm)],[c_198773,c_174232]) ).
tcf(c_198796,plain,
hd(cons(sK57,cons(sK57,app(sK59,sK60)))) = sK57,
inference(superposition,[status(thm)],[c_198773,c_174111]) ).
tcf(c_198797,plain,
( ( cons(sK57,app(sK59,sK60)) = nil )
| ( app(sK49(cons(sK57,app(sK59,sK60))),nil) = sK49(cons(sK57,app(sK59,sK60))) ) ),
inference(superposition,[status(thm)],[c_198773,c_173044]) ).
tcf(c_198798,plain,
( duplicatefreeP(cons(sK57,app(sK59,sK60)))
| ( sK40(cons(sK57,app(sK59,sK60))) = sK41(cons(sK57,app(sK59,sK60))) ) ),
inference(superposition,[status(thm)],[c_198773,c_123]) ).
tcf(c_198799,plain,
app(cons(sK57,cons(sK57,app(sK59,sK60))),nil) = cons(sK57,cons(sK57,app(sK59,sK60))),
inference(superposition,[status(thm)],[c_198773,c_173094]) ).
tcf(c_198800,plain,
app(cons(sK57,app(sK59,sK60)),nil) = cons(sK57,app(sK59,sK60)),
inference(superposition,[status(thm)],[c_198773,c_232]) ).
tcf(c_198801,plain,
app(nil,cons(sK57,app(sK59,sK60))) = cons(sK57,app(sK59,sK60)),
inference(superposition,[status(thm)],[c_198773,c_155]) ).
tcf(c_198976,plain,
rearsegP(cons(sK57,iPr_def_11),nil),
inference(global_subsumption_just,[status(thm)],[c_173748,c_16978,c_83430]) ).
tcf(c_198979,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_198976,c_184]) ).
tcf(c_198980,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_198976,c_66]) ).
tcf(c_198981,plain,
( ( app(sK12(cons(sK57,iPr_def_11),nil),nil) = cons(sK57,iPr_def_11) )
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198980,c_141]) ).
tcf(c_198984,plain,
( ( cons(sK57,iPr_def_11) = nil )
| ~ ssList(cons(sK57,iPr_def_11))
| ~ rearsegP(nil,cons(sK57,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198979,c_141]) ).
tcf(c_198988,plain,
rearsegP(cons(sK57,iPr_def_13),nil),
inference(global_subsumption_just,[status(thm)],[c_173751,c_16981,c_71011]) ).
tcf(c_198991,plain,
( ( cons(sK57,iPr_def_13) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_13))
| ~ rearsegP(nil,cons(sK57,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_198988,c_184]) ).
tcf(c_198992,plain,
( ( app(sK12(cons(sK57,iPr_def_13),nil),nil) = cons(sK57,iPr_def_13) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_198988,c_66]) ).
tcf(c_198993,plain,
( ( app(sK12(cons(sK57,iPr_def_13),nil),nil) = cons(sK57,iPr_def_13) )
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198992,c_141]) ).
tcf(c_198996,plain,
( ( cons(sK57,iPr_def_13) = nil )
| ~ ssList(cons(sK57,iPr_def_13))
| ~ rearsegP(nil,cons(sK57,iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198991,c_141]) ).
tcf(c_199000,plain,
rearsegP(cons(sK57,sK56),nil),
inference(global_subsumption_just,[status(thm)],[c_173754,c_16984,c_49784]) ).
tcf(c_199003,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56))
| ~ rearsegP(nil,cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_199000,c_184]) ).
tcf(c_199004,plain,
( ( app(sK12(cons(sK57,sK56),nil),nil) = cons(sK57,sK56) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_199000,c_66]) ).
tcf(c_199005,plain,
( ( app(sK12(cons(sK57,sK56),nil),nil) = cons(sK57,sK56) )
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199004,c_141]) ).
tcf(c_199008,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(cons(sK57,sK56))
| ~ rearsegP(nil,cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199003,c_141]) ).
tcf(c_199012,plain,
rearsegP(cons(sK57,sK59),nil),
inference(global_subsumption_just,[status(thm)],[c_173757,c_16987,c_45941]) ).
tcf(c_199015,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59))
| ~ rearsegP(nil,cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_199012,c_184]) ).
tcf(c_199016,plain,
( ( app(sK12(cons(sK57,sK59),nil),nil) = cons(sK57,sK59) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_199012,c_66]) ).
tcf(c_199017,plain,
( ( app(sK12(cons(sK57,sK59),nil),nil) = cons(sK57,sK59) )
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199016,c_141]) ).
tcf(c_199020,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(cons(sK57,sK59))
| ~ rearsegP(nil,cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199015,c_141]) ).
tcf(c_199060,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK60),X0),sK60)
| ~ ssList(iPr_def_10)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_10,sK60),X0)) ),
inference(superposition,[status(thm)],[c_198089,c_67]) ).
tcf(c_199063,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| memberP(sK60,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK60),X0) ),
inference(superposition,[status(thm)],[c_198089,c_167]) ).
tcf(c_199064,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK60)
| ( cons(sK57,sK60) != nil ) ),
inference(superposition,[status(thm)],[c_198089,c_231]) ).
tcf(c_199065,plain,
( ( nil = sK60 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK60)
| ( cons(sK57,sK60) != nil ) ),
inference(superposition,[status(thm)],[c_198089,c_230]) ).
tcf(c_199066,plain,
( frontsegP(cons(sK57,sK60),iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_198089,c_378]) ).
tcf(c_199067,plain,
( rearsegP(cons(sK57,sK60),sK60)
| ~ ssList(iPr_def_10)
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_198089,c_375]) ).
tcf(c_199068,plain,
( ssList(cons(sK57,sK60))
| ~ ssList(iPr_def_10)
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_198089,c_153]) ).
tcf(c_199069,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK60)
| ~ ssList(X0)
| ( app(X0,sK60) != cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_198089,c_225]) ).
tcf(c_199070,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK60)
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_198089,c_226]) ).
tcf(c_199071,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK60),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_198089,c_176]) ).
tcf(c_199072,plain,
! [X0: $i] :
( memberP(cons(sK57,sK60),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_198089,c_165]) ).
tcf(c_199073,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK60),X1),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK60)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(superposition,[status(thm)],[c_198089,c_193]) ).
tcf(c_199074,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK60),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0) ),
inference(superposition,[status(thm)],[c_198089,c_186]) ).
tcf(c_199075,plain,
! [X0: $i] :
( memberP(cons(sK57,sK60),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ memberP(sK60,X0) ),
inference(superposition,[status(thm)],[c_198089,c_166]) ).
tcf(c_199076,plain,
( ( iPr_def_10 = iPr_def_12 )
| ~ ssList(iPr_def_10)
| ( cons(sK57,sK60) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_198089,c_186318]) ).
tcf(c_199077,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( cons(sK57,sK60) != sK60 ) ),
inference(superposition,[status(thm)],[c_198089,c_186310]) ).
tcf(c_199078,plain,
ssList(cons(sK57,sK60)),
inference(forward_subsumption_resolution,[status(thm)],[c_199068,c_173031,c_12927]) ).
tcf(c_199079,plain,
rearsegP(cons(sK57,sK60),sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_199067,c_173031,c_12927]) ).
tcf(c_199080,plain,
frontsegP(cons(sK57,sK60),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_199066,c_173031,c_12927]) ).
tcf(c_199081,plain,
cons(sK57,sK60) != sK60,
inference(forward_subsumption_resolution,[status(thm)],[c_199077,c_174077,c_173031]) ).
tcf(c_199082,plain,
( ( iPr_def_10 = iPr_def_12 )
| ( cons(sK57,sK60) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199076,c_173031]) ).
tcf(c_199088,plain,
cons(sK57,sK60) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_199064,c_174077,c_173031,c_12927]) ).
tcf(c_199089,plain,
! [X0: $i] :
( memberP(cons(sK57,sK60),X0)
| ~ ssItem(X0)
| ~ memberP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199075,c_173031,c_12927]) ).
tcf(c_199093,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK60),X0)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199074,c_173031,c_12927]) ).
tcf(c_199097,plain,
! [X0: $i] :
( memberP(cons(sK57,sK60),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199072,c_173031,c_12927]) ).
tcf(c_199101,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK60),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199071,c_173031,c_12927]) ).
tcf(c_199105,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| memberP(sK60,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199063,c_173031,c_12927]) ).
tcf(c_199110,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != cons(sK57,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199070,c_173031,c_12927]) ).
tcf(c_199114,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(X0,sK60) != cons(sK57,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199069,c_173031,c_12927]) ).
tcf(c_199118,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK60),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199073,c_173031,c_12927]) ).
tcf(c_199123,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK60),X0),sK60)
| ~ ssList(iPr_def_10)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK60),X0)) ),
inference(light_normalisation,[status(thm)],[c_199060,c_198089]) ).
tcf(c_199124,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK60),X0),sK60)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK60),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199123,c_173031,c_12927]) ).
tcf(c_199128,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK57,sK60)) = app(X0,app(X1,cons(sK57,sK60))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_199078,c_228]) ).
tcf(c_199129,plain,
cons(sK57,app(cons(sK57,sK60),sK60)) = app(cons(sK57,cons(sK57,sK60)),sK60),
inference(superposition,[status(thm)],[c_199078,c_197763]) ).
tcf(c_199130,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,sK60))) = app(cons(sK57,X0),cons(sK57,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_199078,c_182224]) ).
tcf(c_199131,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,sK60)) = tl(app(sK56,cons(sK57,sK60))) ) ),
inference(superposition,[status(thm)],[c_199078,c_181006]) ).
tcf(c_199132,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,sK60)) = tl(app(sK59,cons(sK57,sK60))) ) ),
inference(superposition,[status(thm)],[c_199078,c_181005]) ).
tcf(c_199133,plain,
( ( nil = sK60 )
| ( app(tl(sK60),cons(sK57,sK60)) = tl(app(sK60,cons(sK57,sK60))) ) ),
inference(superposition,[status(thm)],[c_199078,c_181004]) ).
tcf(c_199134,plain,
( duplicatefreeP(cons(sK57,sK60))
| ( app(app(sK42(cons(sK57,sK60)),cons(sK40(cons(sK57,sK60)),sK43(cons(sK57,sK60)))),cons(sK41(cons(sK57,sK60)),sK44(cons(sK57,sK60)))) = cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_199078,c_124]) ).
tcf(c_199135,plain,
( strictorderedP(cons(sK57,sK60))
| ( app(app(sK37(cons(sK57,sK60)),cons(sK35(cons(sK57,sK60)),sK38(cons(sK57,sK60)))),cons(sK36(cons(sK57,sK60)),sK39(cons(sK57,sK60)))) = cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_199078,c_116]) ).
tcf(c_199136,plain,
( totalorderedP(cons(sK57,sK60))
| ( app(app(sK32(cons(sK57,sK60)),cons(sK30(cons(sK57,sK60)),sK33(cons(sK57,sK60)))),cons(sK31(cons(sK57,sK60)),sK34(cons(sK57,sK60)))) = cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_199078,c_108]) ).
tcf(c_199137,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,sK60))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_199078,c_179266]) ).
tcf(c_199138,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,sK60))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_199078,c_179265]) ).
tcf(c_199139,plain,
( ( nil = sK60 )
| ( hd(app(sK60,cons(sK57,sK60))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_199078,c_179264]) ).
tcf(c_199140,plain,
! [X0: $i] :
( ( cons(sK57,sK60) = nil )
| ( app(tl(cons(sK57,sK60)),X0) = tl(app(cons(sK57,sK60),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_199078,c_234]) ).
tcf(c_199141,plain,
( equalelemsP(cons(sK57,sK60))
| ( app(sK47(cons(sK57,sK60)),cons(sK45(cons(sK57,sK60)),cons(sK46(cons(sK57,sK60)),sK48(cons(sK57,sK60))))) = cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_199078,c_132]) ).
tcf(c_199142,plain,
! [X0: $i] :
( ( cons(sK57,sK60) = nil )
| ( hd(app(cons(sK57,sK60),X0)) = hd(cons(sK57,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_199078,c_233]) ).
tcf(c_199143,plain,
( ( cons(sK57,sK60) = nil )
| ( cons(hd(cons(sK57,sK60)),tl(cons(sK57,sK60))) = cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_199078,c_224]) ).
tcf(c_199144,plain,
( ( cons(sK57,sK60) = nil )
| ( cons(sK50(cons(sK57,sK60)),sK49(cons(sK57,sK60))) = cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_199078,c_147]) ).
tcf(c_199145,plain,
( ( cons(sK57,sK60) = nil )
| ( tl(cons(sK57,sK60)) = sK52(cons(sK57,sK60)) ) ),
inference(superposition,[status(thm)],[c_199078,c_222]) ).
tcf(c_199146,plain,
( ( cons(sK57,sK60) = nil )
| ( hd(cons(sK57,sK60)) = sK51(cons(sK57,sK60)) ) ),
inference(superposition,[status(thm)],[c_199078,c_220]) ).
tcf(c_199147,plain,
app(nil,cons(sK57,cons(sK57,sK60))) = cons(sK57,cons(sK57,sK60)),
inference(superposition,[status(thm)],[c_199078,c_173594]) ).
tcf(c_199148,plain,
tl(cons(sK57,cons(sK57,sK60))) = cons(sK57,sK60),
inference(superposition,[status(thm)],[c_199078,c_174232]) ).
tcf(c_199149,plain,
hd(cons(sK57,cons(sK57,sK60))) = sK57,
inference(superposition,[status(thm)],[c_199078,c_174111]) ).
tcf(c_199150,plain,
( ( cons(sK57,sK60) = nil )
| ( app(sK49(cons(sK57,sK60)),nil) = sK49(cons(sK57,sK60)) ) ),
inference(superposition,[status(thm)],[c_199078,c_173044]) ).
tcf(c_199151,plain,
( duplicatefreeP(cons(sK57,sK60))
| ( sK40(cons(sK57,sK60)) = sK41(cons(sK57,sK60)) ) ),
inference(superposition,[status(thm)],[c_199078,c_123]) ).
tcf(c_199152,plain,
app(cons(sK57,cons(sK57,sK60)),nil) = cons(sK57,cons(sK57,sK60)),
inference(superposition,[status(thm)],[c_199078,c_173094]) ).
tcf(c_199163,plain,
( ( cons(sK57,sK60) = nil )
| ( sK51(cons(sK57,sK60)) = sK57 ) ),
inference(light_normalisation,[status(thm)],[c_199146,c_174357]) ).
tcf(c_199166,plain,
( ( cons(sK57,sK60) = nil )
| ( sK52(cons(sK57,sK60)) = sK60 ) ),
inference(light_normalisation,[status(thm)],[c_199145,c_174504]) ).
tcf(c_199169,plain,
cons(sK57,cons(sK57,app(sK60,sK60))) = app(cons(sK57,cons(sK57,sK60)),sK60),
inference(light_normalisation,[status(thm)],[c_199129,c_198075]) ).
tcf(c_199183,plain,
! [X0: $i] :
( ( cons(sK57,sK60) = nil )
| ( hd(app(cons(sK57,sK60),X0)) = sK57 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_199142,c_174357]) ).
tcf(c_199190,plain,
! [X0: $i] :
( ( cons(sK57,sK60) = nil )
| ( tl(app(cons(sK57,sK60),X0)) = app(sK60,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_199140,c_174504]) ).
tcf(c_199441,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK60),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_199079,c_183]) ).
tcf(c_199442,plain,
( ( cons(sK57,sK60) = sK60 )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK60))
| ~ rearsegP(sK60,cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_199079,c_184]) ).
tcf(c_199443,plain,
( ( app(sK12(cons(sK57,sK60),sK60),sK60) = cons(sK57,sK60) )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_199079,c_66]) ).
tcf(c_199444,plain,
app(sK12(cons(sK57,sK60),sK60),sK60) = cons(sK57,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_199443,c_12927,c_199078]) ).
tcf(c_199445,plain,
( ( cons(sK57,sK60) = sK60 )
| ~ rearsegP(sK60,cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199442,c_12927,c_199078]) ).
tcf(c_199449,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK60),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_199080,c_173]) ).
tcf(c_199450,plain,
( ( cons(sK57,sK60) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK57,sK60))
| ~ frontsegP(iPr_def_10,cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_199080,c_174]) ).
tcf(c_199451,plain,
( ( app(iPr_def_10,sK11(cons(sK57,sK60),iPr_def_10)) = cons(sK57,sK60) )
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_199080,c_63]) ).
tcf(c_199453,plain,
app(iPr_def_10,sK11(cons(sK57,sK60),iPr_def_10)) = cons(sK57,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_199451,c_173031,c_199078]) ).
tcf(c_199454,plain,
( ( cons(sK57,sK60) = iPr_def_10 )
| ~ frontsegP(iPr_def_10,cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199450,c_173031,c_199078]) ).
tcf(c_199458,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK56,sK60)),X0),sK60)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ ssList(app(app(cons(sK57,sK56),sK60),X0)) ),
inference(superposition,[status(thm)],[c_198077,c_67]) ).
tcf(c_199461,plain,
! [X0: $i] :
( memberP(sK60,X0)
| memberP(cons(sK57,sK56),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK56))
| ~ memberP(cons(sK57,app(sK56,sK60)),X0) ),
inference(superposition,[status(thm)],[c_198077,c_167]) ).
tcf(c_199462,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK60)) != nil ) ),
inference(superposition,[status(thm)],[c_198077,c_231]) ).
tcf(c_199463,plain,
( ( nil = sK60 )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK60)) != nil ) ),
inference(superposition,[status(thm)],[c_198077,c_230]) ).
tcf(c_199464,plain,
( frontsegP(cons(sK57,app(sK56,sK60)),cons(sK57,sK56))
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_198077,c_378]) ).
tcf(c_199465,plain,
( rearsegP(cons(sK57,app(sK56,sK60)),sK60)
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_198077,c_375]) ).
tcf(c_199466,plain,
( ssList(cons(sK57,app(sK56,sK60)))
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_198077,c_153]) ).
tcf(c_199467,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK60)) != app(X0,sK60) ) ),
inference(superposition,[status(thm)],[c_198077,c_225]) ).
tcf(c_199468,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ( app(cons(sK57,sK56),X0) != cons(sK57,app(sK56,sK60)) ) ),
inference(superposition,[status(thm)],[c_198077,c_226]) ).
tcf(c_199469,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK56,sK60)),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ frontsegP(cons(sK57,sK56),X0) ),
inference(superposition,[status(thm)],[c_198077,c_176]) ).
tcf(c_199470,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK60)),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK56))
| ~ memberP(cons(sK57,sK56),X0) ),
inference(superposition,[status(thm)],[c_198077,c_165]) ).
tcf(c_199471,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK56,sK60)),X1),X0)
| ~ ssList(sK60)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_198077,c_193]) ).
tcf(c_199472,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK60)),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_198077,c_186]) ).
tcf(c_199473,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK60)),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_198077,c_166]) ).
tcf(c_199474,plain,
( ( cons(sK57,sK56) = iPr_def_12 )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK60)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_198077,c_186318]) ).
tcf(c_199475,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK60)) != sK60 ) ),
inference(superposition,[status(thm)],[c_198077,c_186310]) ).
tcf(c_199476,plain,
( ssList(cons(sK57,app(sK56,sK60)))
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199466,c_12927]) ).
tcf(c_199479,plain,
( rearsegP(cons(sK57,app(sK56,sK60)),sK60)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199465,c_12927]) ).
tcf(c_199482,plain,
( frontsegP(cons(sK57,app(sK56,sK60)),cons(sK57,sK56))
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199464,c_12927]) ).
tcf(c_199491,plain,
( ( nil = sK60 )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK60)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199463,c_12927]) ).
tcf(c_199495,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK60)),X0)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199473,c_12927]) ).
tcf(c_199500,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK60)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199472,c_12927]) ).
tcf(c_199505,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK60)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199462,c_12927]) ).
tcf(c_199509,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK60)),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK56))
| ~ memberP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199470,c_12927]) ).
tcf(c_199514,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK56,sK60)),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ frontsegP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199469,c_12927]) ).
tcf(c_199519,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK56,sK60)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199471,c_12927]) ).
tcf(c_199525,plain,
! [X0: $i] :
( memberP(sK60,X0)
| memberP(cons(sK57,sK56),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK56))
| ~ memberP(cons(sK57,app(sK56,sK60)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199461,c_12927]) ).
tcf(c_199531,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ( app(cons(sK57,sK56),X0) != cons(sK57,app(sK56,sK60)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199468,c_12927]) ).
tcf(c_199536,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK60)) != app(X0,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199467,c_12927]) ).
tcf(c_199541,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK56,sK60)),X0),sK60)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ ssList(app(cons(sK57,app(sK56,sK60)),X0)) ),
inference(light_normalisation,[status(thm)],[c_199458,c_198077]) ).
tcf(c_199542,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK56,sK60)),X0),sK60)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ ssList(app(cons(sK57,app(sK56,sK60)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199541,c_12927]) ).
tcf(c_199547,plain,
ssList(cons(sK57,app(sK56,sK60))),
inference(global_subsumption_just,[status(thm)],[c_199476,c_44044,c_49784]) ).
tcf(c_199549,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK57,app(sK56,sK60))) = app(X0,app(X1,cons(sK57,app(sK56,sK60)))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_199547,c_228]) ).
tcf(c_199550,plain,
cons(sK57,app(cons(sK57,app(sK56,sK60)),sK60)) = app(cons(sK57,cons(sK57,app(sK56,sK60))),sK60),
inference(superposition,[status(thm)],[c_199547,c_197763]) ).
tcf(c_199551,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,app(sK56,sK60)))) = app(cons(sK57,X0),cons(sK57,app(sK56,sK60))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_199547,c_182224]) ).
tcf(c_199552,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK56,sK60))) = tl(app(sK56,cons(sK57,app(sK56,sK60)))) ) ),
inference(superposition,[status(thm)],[c_199547,c_181006]) ).
tcf(c_199553,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK56,sK60))) = tl(app(sK59,cons(sK57,app(sK56,sK60)))) ) ),
inference(superposition,[status(thm)],[c_199547,c_181005]) ).
tcf(c_199554,plain,
( ( nil = sK60 )
| ( app(tl(sK60),cons(sK57,app(sK56,sK60))) = tl(app(sK60,cons(sK57,app(sK56,sK60)))) ) ),
inference(superposition,[status(thm)],[c_199547,c_181004]) ).
tcf(c_199555,plain,
( duplicatefreeP(cons(sK57,app(sK56,sK60)))
| ( app(app(sK42(cons(sK57,app(sK56,sK60))),cons(sK40(cons(sK57,app(sK56,sK60))),sK43(cons(sK57,app(sK56,sK60))))),cons(sK41(cons(sK57,app(sK56,sK60))),sK44(cons(sK57,app(sK56,sK60))))) = cons(sK57,app(sK56,sK60)) ) ),
inference(superposition,[status(thm)],[c_199547,c_124]) ).
tcf(c_199556,plain,
( strictorderedP(cons(sK57,app(sK56,sK60)))
| ( app(app(sK37(cons(sK57,app(sK56,sK60))),cons(sK35(cons(sK57,app(sK56,sK60))),sK38(cons(sK57,app(sK56,sK60))))),cons(sK36(cons(sK57,app(sK56,sK60))),sK39(cons(sK57,app(sK56,sK60))))) = cons(sK57,app(sK56,sK60)) ) ),
inference(superposition,[status(thm)],[c_199547,c_116]) ).
tcf(c_199557,plain,
( totalorderedP(cons(sK57,app(sK56,sK60)))
| ( app(app(sK32(cons(sK57,app(sK56,sK60))),cons(sK30(cons(sK57,app(sK56,sK60))),sK33(cons(sK57,app(sK56,sK60))))),cons(sK31(cons(sK57,app(sK56,sK60))),sK34(cons(sK57,app(sK56,sK60))))) = cons(sK57,app(sK56,sK60)) ) ),
inference(superposition,[status(thm)],[c_199547,c_108]) ).
tcf(c_199558,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK56,sK60)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_199547,c_179266]) ).
tcf(c_199559,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK56,sK60)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_199547,c_179265]) ).
tcf(c_199560,plain,
( ( nil = sK60 )
| ( hd(app(sK60,cons(sK57,app(sK56,sK60)))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_199547,c_179264]) ).
tcf(c_199561,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK60)) = nil )
| ( app(tl(cons(sK57,app(sK56,sK60))),X0) = tl(app(cons(sK57,app(sK56,sK60)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_199547,c_234]) ).
tcf(c_199562,plain,
( equalelemsP(cons(sK57,app(sK56,sK60)))
| ( app(sK47(cons(sK57,app(sK56,sK60))),cons(sK45(cons(sK57,app(sK56,sK60))),cons(sK46(cons(sK57,app(sK56,sK60))),sK48(cons(sK57,app(sK56,sK60)))))) = cons(sK57,app(sK56,sK60)) ) ),
inference(superposition,[status(thm)],[c_199547,c_132]) ).
tcf(c_199563,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK60)) = nil )
| ( hd(app(cons(sK57,app(sK56,sK60)),X0)) = hd(cons(sK57,app(sK56,sK60))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_199547,c_233]) ).
tcf(c_199564,plain,
( ( cons(sK57,app(sK56,sK60)) = nil )
| ( cons(hd(cons(sK57,app(sK56,sK60))),tl(cons(sK57,app(sK56,sK60)))) = cons(sK57,app(sK56,sK60)) ) ),
inference(superposition,[status(thm)],[c_199547,c_224]) ).
tcf(c_199565,plain,
( ( cons(sK57,app(sK56,sK60)) = nil )
| ( cons(sK50(cons(sK57,app(sK56,sK60))),sK49(cons(sK57,app(sK56,sK60)))) = cons(sK57,app(sK56,sK60)) ) ),
inference(superposition,[status(thm)],[c_199547,c_147]) ).
tcf(c_199566,plain,
( ( cons(sK57,app(sK56,sK60)) = nil )
| ( tl(cons(sK57,app(sK56,sK60))) = sK52(cons(sK57,app(sK56,sK60))) ) ),
inference(superposition,[status(thm)],[c_199547,c_222]) ).
tcf(c_199567,plain,
( ( cons(sK57,app(sK56,sK60)) = nil )
| ( hd(cons(sK57,app(sK56,sK60))) = sK51(cons(sK57,app(sK56,sK60))) ) ),
inference(superposition,[status(thm)],[c_199547,c_220]) ).
tcf(c_199568,plain,
app(nil,cons(sK57,cons(sK57,app(sK56,sK60)))) = cons(sK57,cons(sK57,app(sK56,sK60))),
inference(superposition,[status(thm)],[c_199547,c_173594]) ).
tcf(c_199569,plain,
tl(cons(sK57,cons(sK57,app(sK56,sK60)))) = cons(sK57,app(sK56,sK60)),
inference(superposition,[status(thm)],[c_199547,c_174232]) ).
tcf(c_199570,plain,
hd(cons(sK57,cons(sK57,app(sK56,sK60)))) = sK57,
inference(superposition,[status(thm)],[c_199547,c_174111]) ).
tcf(c_199571,plain,
( ( cons(sK57,app(sK56,sK60)) = nil )
| ( app(sK49(cons(sK57,app(sK56,sK60))),nil) = sK49(cons(sK57,app(sK56,sK60))) ) ),
inference(superposition,[status(thm)],[c_199547,c_173044]) ).
tcf(c_199572,plain,
( duplicatefreeP(cons(sK57,app(sK56,sK60)))
| ( sK40(cons(sK57,app(sK56,sK60))) = sK41(cons(sK57,app(sK56,sK60))) ) ),
inference(superposition,[status(thm)],[c_199547,c_123]) ).
tcf(c_199573,plain,
app(cons(sK57,cons(sK57,app(sK56,sK60))),nil) = cons(sK57,cons(sK57,app(sK56,sK60))),
inference(superposition,[status(thm)],[c_199547,c_173094]) ).
tcf(c_199574,plain,
app(cons(sK57,app(sK56,sK60)),nil) = cons(sK57,app(sK56,sK60)),
inference(superposition,[status(thm)],[c_199547,c_232]) ).
tcf(c_199575,plain,
app(nil,cons(sK57,app(sK56,sK60))) = cons(sK57,app(sK56,sK60)),
inference(superposition,[status(thm)],[c_199547,c_155]) ).
tcf(c_199643,plain,
rearsegP(cons(sK57,app(sK60,sK60)),sK60),
inference(global_subsumption_just,[status(thm)],[c_198356,c_43190,c_44373]) ).
tcf(c_199645,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK60,sK60)),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ ssList(cons(sK57,app(sK60,sK60))) ),
inference(superposition,[status(thm)],[c_199643,c_183]) ).
tcf(c_199646,plain,
( ( cons(sK57,app(sK60,sK60)) = sK60 )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,app(sK60,sK60)))
| ~ rearsegP(sK60,cons(sK57,app(sK60,sK60))) ),
inference(superposition,[status(thm)],[c_199643,c_184]) ).
tcf(c_199647,plain,
( ( app(sK12(cons(sK57,app(sK60,sK60)),sK60),sK60) = cons(sK57,app(sK60,sK60)) )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,app(sK60,sK60))) ),
inference(superposition,[status(thm)],[c_199643,c_66]) ).
tcf(c_199648,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK60,sK60)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199645,c_12927,c_198436]) ).
tcf(c_199652,plain,
app(sK12(cons(sK57,app(sK60,sK60)),sK60),sK60) = cons(sK57,app(sK60,sK60)),
inference(forward_subsumption_resolution,[status(thm)],[c_199647,c_12927,c_198436]) ).
tcf(c_199653,plain,
( ( cons(sK57,app(sK60,sK60)) = sK60 )
| ~ rearsegP(sK60,cons(sK57,app(sK60,sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199646,c_12927,c_198436]) ).
tcf(c_199727,plain,
rearsegP(cons(sK57,app(sK59,sK60)),sK60),
inference(global_subsumption_just,[status(thm)],[c_198598,c_43788,c_45941]) ).
tcf(c_199729,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK60)),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ ssList(cons(sK57,app(sK59,sK60))) ),
inference(superposition,[status(thm)],[c_199727,c_183]) ).
tcf(c_199730,plain,
( ( cons(sK57,app(sK59,sK60)) = sK60 )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,app(sK59,sK60)))
| ~ rearsegP(sK60,cons(sK57,app(sK59,sK60))) ),
inference(superposition,[status(thm)],[c_199727,c_184]) ).
tcf(c_199731,plain,
( ( app(sK12(cons(sK57,app(sK59,sK60)),sK60),sK60) = cons(sK57,app(sK59,sK60)) )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,app(sK59,sK60))) ),
inference(superposition,[status(thm)],[c_199727,c_66]) ).
tcf(c_199732,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK60)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199729,c_12927,c_198773]) ).
tcf(c_199736,plain,
app(sK12(cons(sK57,app(sK59,sK60)),sK60),sK60) = cons(sK57,app(sK59,sK60)),
inference(forward_subsumption_resolution,[status(thm)],[c_199731,c_12927,c_198773]) ).
tcf(c_199737,plain,
( ( cons(sK57,app(sK59,sK60)) = sK60 )
| ~ rearsegP(sK60,cons(sK57,app(sK59,sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199730,c_12927,c_198773]) ).
tcf(c_199746,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,sK60),X0),cons(X0,sK9(cons(sK57,sK60),X0))) = cons(sK57,sK60) )
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_199089,c_57]) ).
tcf(c_199748,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,sK60),X0),cons(X0,sK9(cons(sK57,sK60),X0))) = cons(sK57,sK60) )
| ~ ssItem(X0)
| ~ memberP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199746,c_199078]) ).
tcf(c_199758,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,sK60),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_199093,c_183]) ).
tcf(c_199759,plain,
! [X0: $i] :
( ( cons(sK57,sK60) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ ssList(cons(sK57,sK60))
| ~ rearsegP(X0,cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_199093,c_184]) ).
tcf(c_199760,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,sK60),X0),X0) = cons(sK57,sK60) )
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_199093,c_66]) ).
tcf(c_199761,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,sK60),X0),X0) = cons(sK57,sK60) )
| ~ ssList(X0)
| ~ rearsegP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199760,c_199078]) ).
tcf(c_199765,plain,
! [X0: $i] :
( ( cons(sK57,sK60) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ rearsegP(X0,cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199759,c_199078]) ).
tcf(c_199770,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,sK60),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ rearsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199758,c_199078]) ).
tcf(c_199793,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,sK60),X0),cons(X0,sK9(cons(sK57,sK60),X0))) = cons(sK57,sK60) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_199097,c_57]) ).
tcf(c_199794,plain,
! [X0: $i] :
( memberP(sK60,X0)
| ( X0 = sK57 )
| ~ ssList(sK60)
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_199097,c_170]) ).
tcf(c_199796,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,sK60),X0),cons(X0,sK9(cons(sK57,sK60),X0))) = cons(sK57,sK60) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199793,c_199078]) ).
tcf(c_199806,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_175854,c_223]) ).
tcf(c_199807,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_175854,c_212]) ).
tcf(c_199808,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_175854,c_206]) ).
tcf(c_199831,plain,
rearsegP(cons(sK57,sK60),nil),
inference(global_subsumption_just,[status(thm)],[c_173760,c_16990,c_44373]) ).
tcf(c_199834,plain,
( ( cons(sK57,sK60) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK60))
| ~ rearsegP(nil,cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_199831,c_184]) ).
tcf(c_199835,plain,
( ( app(sK12(cons(sK57,sK60),nil),nil) = cons(sK57,sK60) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_199831,c_66]) ).
tcf(c_199836,plain,
app(sK12(cons(sK57,sK60),nil),nil) = cons(sK57,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_199835,c_141,c_199078]) ).
tcf(c_199837,plain,
~ rearsegP(nil,cons(sK57,sK60)),
inference(forward_subsumption_resolution,[status(thm)],[c_199834,c_199088,c_141,c_199078]) ).
tcf(c_199842,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_174091]) ).
tcf(c_199843,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_174091]) ).
tcf(c_199844,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK6,app(X0,X1))) = sK6 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_174091]) ).
tcf(c_199845,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_174091]) ).
tcf(c_199846,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_174091]) ).
tcf(c_199847,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_174091]) ).
tcf(c_199848,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_174091]) ).
tcf(c_199858,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK6,sK34(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_174091]) ).
tcf(c_199859,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK6,sK33(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_174091]) ).
tcf(c_199860,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK6,sK32(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_174091]) ).
tcf(c_199861,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK6,sK39(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_174091]) ).
tcf(c_199862,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK6,sK38(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_174091]) ).
tcf(c_199863,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK6,sK37(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_174091]) ).
tcf(c_199864,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK6,sK44(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_174091]) ).
tcf(c_199865,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK6,sK43(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_174091]) ).
tcf(c_199866,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK6,sK42(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_174091]) ).
tcf(c_199867,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(cons(sK6,sK48(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_174091]) ).
tcf(c_199868,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(cons(sK6,sK47(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_174091]) ).
tcf(c_199869,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK6,cons(X0,X1))) = sK6 )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_174091]) ).
tcf(c_199870,plain,
hd(cons(sK6,nil)) = sK6,
inference(superposition,[status(thm)],[c_141,c_174091]) ).
tcf(c_199871,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK6,sK49(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_174091]) ).
tcf(c_199872,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK6,tl(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_174091]) ).
tcf(c_199873,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK6,sK52(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_174091]) ).
tcf(c_199874,plain,
hd(cons(sK6,sK60)) = sK6,
inference(superposition,[status(thm)],[c_12927,c_174091]) ).
tcf(c_199875,plain,
hd(cons(sK6,sK59)) = sK6,
inference(superposition,[status(thm)],[c_12926,c_174091]) ).
tcf(c_199876,plain,
hd(cons(sK6,sK56)) = sK6,
inference(superposition,[status(thm)],[c_12924,c_174091]) ).
tcf(c_199877,plain,
hd(cons(sK6,iPr_def_13)) = sK6,
inference(superposition,[status(thm)],[c_172540,c_174091]) ).
tcf(c_199878,plain,
hd(cons(sK6,iPr_def_11)) = sK6,
inference(superposition,[status(thm)],[c_173202,c_174091]) ).
tcf(c_199879,plain,
hd(cons(sK6,iPr_def_12)) = sK6,
inference(superposition,[status(thm)],[c_173203,c_174091]) ).
tcf(c_199880,plain,
hd(cons(sK6,iPr_def_10)) = sK6,
inference(superposition,[status(thm)],[c_173031,c_174091]) ).
tcf(c_199881,plain,
hd(cons(sK6,cons(sK57,sK60))) = sK6,
inference(superposition,[status(thm)],[c_199078,c_174091]) ).
tcf(c_199882,plain,
( ( nil = sK60 )
| ( hd(cons(sK6,tl(sK60))) = sK6 ) ),
inference(superposition,[status(thm)],[c_175448,c_174091]) ).
tcf(c_199883,plain,
( ( nil = sK59 )
| ( hd(cons(sK6,tl(sK59))) = sK6 ) ),
inference(superposition,[status(thm)],[c_175843,c_174091]) ).
tcf(c_199884,plain,
( ( nil = sK56 )
| ( hd(cons(sK6,tl(sK56))) = sK6 ) ),
inference(superposition,[status(thm)],[c_175889,c_174091]) ).
tcf(c_199885,plain,
hd(cons(sK6,tl(iPr_def_13))) = sK6,
inference(superposition,[status(thm)],[c_182143,c_174091]) ).
tcf(c_199886,plain,
hd(cons(sK6,tl(iPr_def_11))) = sK6,
inference(superposition,[status(thm)],[c_182940,c_174091]) ).
tcf(c_199887,plain,
hd(cons(sK6,tl(iPr_def_12))) = sK6,
inference(superposition,[status(thm)],[c_184135,c_174091]) ).
tcf(c_199888,plain,
hd(cons(sK6,cons(sK57,app(sK60,sK60)))) = sK6,
inference(superposition,[status(thm)],[c_198436,c_174091]) ).
tcf(c_199889,plain,
hd(cons(sK6,cons(sK57,app(sK59,sK60)))) = sK6,
inference(superposition,[status(thm)],[c_198773,c_174091]) ).
tcf(c_199890,plain,
hd(cons(sK6,cons(sK57,app(sK56,sK60)))) = sK6,
inference(superposition,[status(thm)],[c_199547,c_174091]) ).
tcf(c_200069,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_199870,c_223]) ).
tcf(c_200070,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_199870,c_212]) ).
tcf(c_200071,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_199870,c_206]) ).
tcf(c_200105,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,sK60) = nil )
| ( cons(sK6,sK60) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,sK60))
| ( hd(X0) != sK6 )
| ( tl(cons(sK6,sK60)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_199874,c_223]) ).
tcf(c_200106,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK6,sK60)))
| ( cons(sK6,sK60) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK6)
| ~ strictorderedP(cons(sK6,sK60))
| ~ ssList(cons(sK6,sK60)) ),
inference(superposition,[status(thm)],[c_199874,c_212]) ).
tcf(c_200107,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK6,sK60)))
| ( cons(sK6,sK60) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK6)
| ~ totalorderedP(cons(sK6,sK60))
| ~ ssList(cons(sK6,sK60)) ),
inference(superposition,[status(thm)],[c_199874,c_206]) ).
tcf(c_200129,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_199875,c_223]) ).
tcf(c_200130,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_199875,c_212]) ).
tcf(c_200131,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_199875,c_206]) ).
tcf(c_200153,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_199876,c_223]) ).
tcf(c_200154,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_199876,c_212]) ).
tcf(c_200155,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_199876,c_206]) ).
tcf(c_200380,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,sK60),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_199101,c_173]) ).
tcf(c_200381,plain,
! [X0: $i] :
( ( cons(sK57,sK60) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ ssList(cons(sK57,sK60))
| ~ frontsegP(X0,cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_199101,c_174]) ).
tcf(c_200382,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,sK60),X0)) = cons(sK57,sK60) )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_199101,c_63]) ).
tcf(c_200383,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(sK60)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_199101,c_178]) ).
tcf(c_200384,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK60,X1)
| ~ ssList(sK60)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_199101,c_179]) ).
tcf(c_200386,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,sK60),X0)) = cons(sK57,sK60) )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200382,c_199078]) ).
tcf(c_200390,plain,
! [X0: $i] :
( ( cons(sK57,sK60) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ frontsegP(X0,cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200381,c_199078]) ).
tcf(c_200395,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,sK60),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ frontsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200380,c_199078]) ).
tcf(c_200401,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK60,X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200384,c_12927,c_12925]) ).
tcf(c_200407,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200383,c_12927,c_12925]) ).
tcf(c_200413,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK60),X0),sK60)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK60),sK60))
| ~ ssList(app(app(sK12(cons(sK57,sK60),sK60),sK60),X0)) ),
inference(superposition,[status(thm)],[c_199444,c_67]) ).
tcf(c_200416,plain,
! [X0: $i] :
( memberP(sK60,X0)
| memberP(sK12(cons(sK57,sK60),sK60),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK60),X0)
| ~ ssList(sK12(cons(sK57,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_199444,c_167]) ).
tcf(c_200419,plain,
( frontsegP(cons(sK57,sK60),sK12(cons(sK57,sK60),sK60))
| ~ ssList(sK60)
| ~ ssList(sK12(cons(sK57,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_199444,c_378]) ).
tcf(c_200422,plain,
! [X0: $i] :
( ( sK12(cons(sK57,sK60),sK60) = X0 )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK60),sK60))
| ( app(X0,sK60) != cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_199444,c_225]) ).
tcf(c_200423,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK60),sK60))
| ( app(sK12(cons(sK57,sK60),sK60),X0) != cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_199444,c_226]) ).
tcf(c_200424,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK60),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK60),sK60))
| ~ frontsegP(sK12(cons(sK57,sK60),sK60),X0) ),
inference(superposition,[status(thm)],[c_199444,c_176]) ).
tcf(c_200425,plain,
! [X0: $i] :
( memberP(cons(sK57,sK60),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,sK60),sK60))
| ~ memberP(sK12(cons(sK57,sK60),sK60),X0) ),
inference(superposition,[status(thm)],[c_199444,c_165]) ).
tcf(c_200426,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK60),X1),X0)
| ~ ssList(sK60)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(sK12(cons(sK57,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_199444,c_193]) ).
tcf(c_200427,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK60),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ ssList(sK12(cons(sK57,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_199444,c_186]) ).
tcf(c_200428,plain,
! [X0: $i] :
( memberP(cons(sK57,sK60),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(sK12(cons(sK57,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_199444,c_166]) ).
tcf(c_200429,plain,
( ( sK12(cons(sK57,sK60),sK60) = iPr_def_12 )
| ~ ssList(sK12(cons(sK57,sK60),sK60))
| ( cons(sK57,sK60) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_199444,c_186318]) ).
tcf(c_200431,plain,
( frontsegP(cons(sK57,sK60),sK12(cons(sK57,sK60),sK60))
| ~ ssList(sK12(cons(sK57,sK60),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200419,c_12927]) ).
tcf(c_200439,plain,
! [X0: $i] :
( memberP(cons(sK57,sK60),X0)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,sK60),sK60))
| ~ memberP(sK12(cons(sK57,sK60),sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200425,c_12927]) ).
tcf(c_200444,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK60),X0)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK60),sK60))
| ~ frontsegP(sK12(cons(sK57,sK60),sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200424,c_12927]) ).
tcf(c_200450,plain,
! [X0: $i] :
( memberP(sK60,X0)
| memberP(sK12(cons(sK57,sK60),sK60),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK60),X0)
| ~ ssList(sK12(cons(sK57,sK60),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200416,c_12927]) ).
tcf(c_200456,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK60),sK60))
| ( app(sK12(cons(sK57,sK60),sK60),X0) != cons(sK57,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200423,c_12927]) ).
tcf(c_200461,plain,
! [X0: $i] :
( ( sK12(cons(sK57,sK60),sK60) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK60),sK60))
| ( app(X0,sK60) != cons(sK57,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200422,c_12927]) ).
tcf(c_200466,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK60),X0),sK60)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK60),sK60))
| ~ ssList(app(cons(sK57,sK60),X0)) ),
inference(light_normalisation,[status(thm)],[c_200413,c_199444]) ).
tcf(c_200467,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK60),X0),sK60)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK60),sK60))
| ~ ssList(app(cons(sK57,sK60),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200466,c_12927]) ).
tcf(c_200472,plain,
~ rearsegP(sK60,cons(sK57,sK60)),
inference(global_subsumption_just,[status(thm)],[c_199445,c_44376,c_44590]) ).
tcf(c_200474,plain,
rearsegP(cons(sK57,app(sK56,sK60)),sK60),
inference(global_subsumption_just,[status(thm)],[c_199479,c_44047,c_49784]) ).
tcf(c_200476,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK60)),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ ssList(cons(sK57,app(sK56,sK60))) ),
inference(superposition,[status(thm)],[c_200474,c_183]) ).
tcf(c_200477,plain,
( ( cons(sK57,app(sK56,sK60)) = sK60 )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,app(sK56,sK60)))
| ~ rearsegP(sK60,cons(sK57,app(sK56,sK60))) ),
inference(superposition,[status(thm)],[c_200474,c_184]) ).
tcf(c_200478,plain,
( ( app(sK12(cons(sK57,app(sK56,sK60)),sK60),sK60) = cons(sK57,app(sK56,sK60)) )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,app(sK56,sK60))) ),
inference(superposition,[status(thm)],[c_200474,c_66]) ).
tcf(c_200479,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK60)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200476,c_12927,c_199547]) ).
tcf(c_200483,plain,
app(sK12(cons(sK57,app(sK56,sK60)),sK60),sK60) = cons(sK57,app(sK56,sK60)),
inference(forward_subsumption_resolution,[status(thm)],[c_200478,c_12927,c_199547]) ).
tcf(c_200484,plain,
( ( cons(sK57,app(sK56,sK60)) = sK60 )
| ~ rearsegP(sK60,cons(sK57,app(sK56,sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200477,c_12927,c_199547]) ).
tcf(c_200487,plain,
frontsegP(cons(sK57,app(sK60,sK60)),cons(sK57,sK60)),
inference(global_subsumption_just,[status(thm)],[c_198359,c_43193,c_44373]) ).
tcf(c_200490,plain,
( ( cons(sK57,app(sK60,sK60)) = cons(sK57,sK60) )
| ~ ssList(cons(sK57,sK60))
| ~ ssList(cons(sK57,app(sK60,sK60)))
| ~ frontsegP(cons(sK57,sK60),cons(sK57,app(sK60,sK60))) ),
inference(superposition,[status(thm)],[c_200487,c_174]) ).
tcf(c_200491,plain,
( ( app(cons(sK57,sK60),sK11(cons(sK57,app(sK60,sK60)),cons(sK57,sK60))) = cons(sK57,app(sK60,sK60)) )
| ~ ssList(cons(sK57,sK60))
| ~ ssList(cons(sK57,app(sK60,sK60))) ),
inference(superposition,[status(thm)],[c_200487,c_63]) ).
tcf(c_200493,plain,
( frontsegP(app(sK60,sK60),sK60)
| ~ ssList(sK60)
| ~ ssItem(sK57)
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_200487,c_179]) ).
tcf(c_200494,plain,
( frontsegP(app(sK60,sK60),sK60)
| ~ ssList(app(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200493,c_12927,c_12925]) ).
tcf(c_200497,plain,
app(cons(sK57,sK60),sK11(cons(sK57,app(sK60,sK60)),cons(sK57,sK60))) = cons(sK57,app(sK60,sK60)),
inference(forward_subsumption_resolution,[status(thm)],[c_200491,c_199078,c_198436]) ).
tcf(c_200498,plain,
( ( cons(sK57,app(sK60,sK60)) = cons(sK57,sK60) )
| ~ frontsegP(cons(sK57,sK60),cons(sK57,app(sK60,sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200490,c_199078,c_198436]) ).
tcf(c_200505,plain,
! [X0: $i] :
( frontsegP(app(sK60,sK60),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ frontsegP(sK60,X0)
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_200494,c_173]) ).
tcf(c_200506,plain,
( ( app(sK60,sK60) = sK60 )
| ~ ssList(sK60)
| ~ ssList(app(sK60,sK60))
| ~ frontsegP(sK60,app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_200494,c_174]) ).
tcf(c_200507,plain,
( ( app(sK60,sK11(app(sK60,sK60),sK60)) = app(sK60,sK60) )
| ~ ssList(sK60)
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_200494,c_63]) ).
tcf(c_200508,plain,
( ( app(sK60,sK11(app(sK60,sK60),sK60)) = app(sK60,sK60) )
| ~ ssList(app(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200507,c_12927]) ).
tcf(c_200511,plain,
( ( app(sK60,sK60) = sK60 )
| ~ ssList(app(sK60,sK60))
| ~ frontsegP(sK60,app(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200506,c_12927]) ).
tcf(c_200515,plain,
! [X0: $i] :
( frontsegP(app(sK60,sK60),X0)
| ~ ssList(X0)
| ~ frontsegP(sK60,X0)
| ~ ssList(app(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200505,c_12927]) ).
tcf(c_200520,plain,
frontsegP(cons(sK57,app(sK59,sK60)),cons(sK57,sK59)),
inference(global_subsumption_just,[status(thm)],[c_198601,c_43791,c_45941]) ).
tcf(c_200523,plain,
( ( cons(sK57,app(sK59,sK60)) = cons(sK57,sK59) )
| ~ ssList(cons(sK57,sK59))
| ~ ssList(cons(sK57,app(sK59,sK60)))
| ~ frontsegP(cons(sK57,sK59),cons(sK57,app(sK59,sK60))) ),
inference(superposition,[status(thm)],[c_200520,c_174]) ).
tcf(c_200524,plain,
( ( app(cons(sK57,sK59),sK11(cons(sK57,app(sK59,sK60)),cons(sK57,sK59))) = cons(sK57,app(sK59,sK60)) )
| ~ ssList(cons(sK57,sK59))
| ~ ssList(cons(sK57,app(sK59,sK60))) ),
inference(superposition,[status(thm)],[c_200520,c_63]) ).
tcf(c_200526,plain,
( frontsegP(app(sK59,sK60),sK59)
| ~ ssList(sK59)
| ~ ssItem(sK57)
| ~ ssList(app(sK59,sK60)) ),
inference(superposition,[status(thm)],[c_200520,c_179]) ).
tcf(c_200527,plain,
( frontsegP(app(sK59,sK60),sK59)
| ~ ssList(app(sK59,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200526,c_12926,c_12925]) ).
tcf(c_200530,plain,
( ( app(cons(sK57,sK59),sK11(cons(sK57,app(sK59,sK60)),cons(sK57,sK59))) = cons(sK57,app(sK59,sK60)) )
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200524,c_198773]) ).
tcf(c_200533,plain,
( ( cons(sK57,app(sK59,sK60)) = cons(sK57,sK59) )
| ~ ssList(cons(sK57,sK59))
| ~ frontsegP(cons(sK57,sK59),cons(sK57,app(sK59,sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200523,c_198773]) ).
tcf(c_200541,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK60),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK60)) ),
inference(superposition,[status(thm)],[c_200527,c_173]) ).
tcf(c_200542,plain,
( ( app(sK59,sK60) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK60))
| ~ frontsegP(sK59,app(sK59,sK60)) ),
inference(superposition,[status(thm)],[c_200527,c_174]) ).
tcf(c_200543,plain,
( ( app(sK59,sK11(app(sK59,sK60),sK59)) = app(sK59,sK60) )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK60)) ),
inference(superposition,[status(thm)],[c_200527,c_63]) ).
tcf(c_200544,plain,
( ( app(sK59,sK11(app(sK59,sK60),sK59)) = app(sK59,sK60) )
| ~ ssList(app(sK59,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200543,c_12926]) ).
tcf(c_200547,plain,
( ( app(sK59,sK60) = sK59 )
| ~ ssList(app(sK59,sK60))
| ~ frontsegP(sK59,app(sK59,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200542,c_12926]) ).
tcf(c_200551,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK60),X0)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200541,c_12926]) ).
tcf(c_200778,plain,
! [X0: $i] :
( segmentP(app(sK49(tl(sK59)),X0),nil)
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK59)))
| ~ ssList(app(app(sK49(tl(sK59)),nil),X0)) ),
inference(superposition,[status(thm)],[c_175855,c_67]) ).
tcf(c_200784,plain,
( frontsegP(sK49(tl(sK59)),sK49(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(nil)
| ~ ssList(sK49(tl(sK59))) ),
inference(superposition,[status(thm)],[c_175855,c_378]) ).
tcf(c_200785,plain,
( rearsegP(sK49(tl(sK59)),nil)
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(nil)
| ~ ssList(sK49(tl(sK59))) ),
inference(superposition,[status(thm)],[c_175855,c_375]) ).
tcf(c_200787,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( sK49(tl(sK59)) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK59)))
| ( app(X0,nil) != sK49(tl(sK59)) ) ),
inference(superposition,[status(thm)],[c_175855,c_225]) ).
tcf(c_200788,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ( tl(sK59) = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK59)))
| ( app(sK49(tl(sK59)),X0) != sK49(tl(sK59)) ) ),
inference(superposition,[status(thm)],[c_175855,c_226]) ).
tcf(c_200791,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK49(tl(sK59)),X1),X0)
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK49(tl(sK59))) ),
inference(superposition,[status(thm)],[c_175855,c_193]) ).
tcf(c_200792,plain,
! [X0: $i] :
( rearsegP(sK49(tl(sK59)),X0)
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK49(tl(sK59))) ),
inference(superposition,[status(thm)],[c_175855,c_186]) ).
tcf(c_200797,plain,
( rearsegP(sK49(tl(sK59)),nil)
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(sK49(tl(sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200785,c_141]) ).
tcf(c_200802,plain,
( frontsegP(sK49(tl(sK59)),sK49(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(sK49(tl(sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200784,c_141]) ).
tcf(c_200807,plain,
! [X0: $i] :
( rearsegP(sK49(tl(sK59)),X0)
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK49(tl(sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200792,c_141]) ).
tcf(c_200814,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK49(tl(sK59)),X1),X0)
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK49(tl(sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200791,c_141]) ).
tcf(c_200822,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ( tl(sK59) = nil )
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK59)))
| ( app(sK49(tl(sK59)),X0) != sK49(tl(sK59)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200788,c_141]) ).
tcf(c_200829,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( sK49(tl(sK59)) = X0 )
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK59)))
| ( app(X0,nil) != sK49(tl(sK59)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200787,c_141]) ).
tcf(c_200836,plain,
! [X0: $i] :
( segmentP(app(sK49(tl(sK59)),X0),nil)
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK59)))
| ~ ssList(app(app(sK49(tl(sK59)),nil),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200778,c_141]) ).
tcf(c_200847,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_174092]) ).
tcf(c_200848,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_174092]) ).
tcf(c_200849,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK7,app(X0,X1))) = sK7 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_174092]) ).
tcf(c_200850,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_174092]) ).
tcf(c_200851,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_174092]) ).
tcf(c_200852,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_174092]) ).
tcf(c_200853,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_174092]) ).
tcf(c_200863,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK7,sK34(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_174092]) ).
tcf(c_200864,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK7,sK33(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_174092]) ).
tcf(c_200865,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK7,sK32(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_174092]) ).
tcf(c_200866,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK7,sK39(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_174092]) ).
tcf(c_200867,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK7,sK38(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_174092]) ).
tcf(c_200868,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK7,sK37(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_174092]) ).
tcf(c_200869,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK7,sK44(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_174092]) ).
tcf(c_200870,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK7,sK43(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_174092]) ).
tcf(c_200871,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK7,sK42(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_174092]) ).
tcf(c_200872,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(cons(sK7,sK48(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_174092]) ).
tcf(c_200873,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(cons(sK7,sK47(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_174092]) ).
tcf(c_200874,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK7,cons(X0,X1))) = sK7 )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_174092]) ).
tcf(c_200875,plain,
hd(cons(sK7,nil)) = sK7,
inference(superposition,[status(thm)],[c_141,c_174092]) ).
tcf(c_200876,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK7,sK49(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_174092]) ).
tcf(c_200877,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK7,tl(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_174092]) ).
tcf(c_200878,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK7,sK52(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_174092]) ).
tcf(c_200879,plain,
hd(cons(sK7,sK60)) = sK7,
inference(superposition,[status(thm)],[c_12927,c_174092]) ).
tcf(c_200880,plain,
hd(cons(sK7,sK59)) = sK7,
inference(superposition,[status(thm)],[c_12926,c_174092]) ).
tcf(c_200881,plain,
hd(cons(sK7,sK56)) = sK7,
inference(superposition,[status(thm)],[c_12924,c_174092]) ).
tcf(c_200882,plain,
hd(cons(sK7,iPr_def_13)) = sK7,
inference(superposition,[status(thm)],[c_172540,c_174092]) ).
tcf(c_200883,plain,
hd(cons(sK7,iPr_def_11)) = sK7,
inference(superposition,[status(thm)],[c_173202,c_174092]) ).
tcf(c_200884,plain,
hd(cons(sK7,iPr_def_12)) = sK7,
inference(superposition,[status(thm)],[c_173203,c_174092]) ).
tcf(c_200885,plain,
hd(cons(sK7,iPr_def_10)) = sK7,
inference(superposition,[status(thm)],[c_173031,c_174092]) ).
tcf(c_200886,plain,
hd(cons(sK7,cons(sK57,sK60))) = sK7,
inference(superposition,[status(thm)],[c_199078,c_174092]) ).
tcf(c_200887,plain,
( ( nil = sK60 )
| ( hd(cons(sK7,tl(sK60))) = sK7 ) ),
inference(superposition,[status(thm)],[c_175448,c_174092]) ).
tcf(c_200888,plain,
( ( nil = sK59 )
| ( hd(cons(sK7,tl(sK59))) = sK7 ) ),
inference(superposition,[status(thm)],[c_175843,c_174092]) ).
tcf(c_200889,plain,
( ( nil = sK56 )
| ( hd(cons(sK7,tl(sK56))) = sK7 ) ),
inference(superposition,[status(thm)],[c_175889,c_174092]) ).
tcf(c_200890,plain,
hd(cons(sK7,tl(iPr_def_13))) = sK7,
inference(superposition,[status(thm)],[c_182143,c_174092]) ).
tcf(c_200891,plain,
hd(cons(sK7,tl(iPr_def_11))) = sK7,
inference(superposition,[status(thm)],[c_182940,c_174092]) ).
tcf(c_200892,plain,
hd(cons(sK7,tl(iPr_def_12))) = sK7,
inference(superposition,[status(thm)],[c_184135,c_174092]) ).
tcf(c_200893,plain,
hd(cons(sK7,cons(sK57,app(sK60,sK60)))) = sK7,
inference(superposition,[status(thm)],[c_198436,c_174092]) ).
tcf(c_200894,plain,
hd(cons(sK7,cons(sK57,app(sK59,sK60)))) = sK7,
inference(superposition,[status(thm)],[c_198773,c_174092]) ).
tcf(c_200895,plain,
hd(cons(sK7,cons(sK57,app(sK56,sK60)))) = sK7,
inference(superposition,[status(thm)],[c_199547,c_174092]) ).
tcf(c_201064,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_200875,c_223]) ).
tcf(c_201065,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_200875,c_212]) ).
tcf(c_201066,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_200875,c_206]) ).
tcf(c_201088,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,sK60) = nil )
| ( cons(sK7,sK60) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,sK60))
| ( hd(X0) != sK7 )
| ( tl(cons(sK7,sK60)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_200879,c_223]) ).
tcf(c_201089,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK7,sK60)))
| ( cons(sK7,sK60) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK7)
| ~ strictorderedP(cons(sK7,sK60))
| ~ ssList(cons(sK7,sK60)) ),
inference(superposition,[status(thm)],[c_200879,c_212]) ).
tcf(c_201090,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK7,sK60)))
| ( cons(sK7,sK60) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK7)
| ~ totalorderedP(cons(sK7,sK60))
| ~ ssList(cons(sK7,sK60)) ),
inference(superposition,[status(thm)],[c_200879,c_206]) ).
tcf(c_201112,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_200880,c_223]) ).
tcf(c_201113,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_200880,c_212]) ).
tcf(c_201114,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_200880,c_206]) ).
tcf(c_201136,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,iPr_def_13) = nil )
| ( cons(sK6,iPr_def_13) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,iPr_def_13))
| ( hd(X0) != sK6 )
| ( tl(cons(sK6,iPr_def_13)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_199877,c_223]) ).
tcf(c_201137,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK6,iPr_def_13)))
| ( cons(sK6,iPr_def_13) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK6)
| ~ strictorderedP(cons(sK6,iPr_def_13))
| ~ ssList(cons(sK6,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_199877,c_212]) ).
tcf(c_201138,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK6,iPr_def_13)))
| ( cons(sK6,iPr_def_13) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK6)
| ~ totalorderedP(cons(sK6,iPr_def_13))
| ~ ssList(cons(sK6,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_199877,c_206]) ).
tcf(c_201160,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_199878,c_223]) ).
tcf(c_201161,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_199878,c_212]) ).
tcf(c_201162,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_199878,c_206]) ).
tcf(c_201184,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_199879,c_223]) ).
tcf(c_201185,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_199879,c_212]) ).
tcf(c_201186,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_199879,c_206]) ).
tcf(c_201208,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_199880,c_223]) ).
tcf(c_201209,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_199880,c_212]) ).
tcf(c_201210,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_199880,c_206]) ).
tcf(c_201232,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_200881,c_223]) ).
tcf(c_201233,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_200881,c_212]) ).
tcf(c_201234,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_200881,c_206]) ).
tcf(c_201254,plain,
frontsegP(cons(sK57,app(sK56,sK60)),cons(sK57,sK56)),
inference(global_subsumption_just,[status(thm)],[c_199482,c_44050,c_49784]) ).
tcf(c_201257,plain,
( ( cons(sK57,app(sK56,sK60)) = cons(sK57,sK56) )
| ~ ssList(cons(sK57,sK56))
| ~ ssList(cons(sK57,app(sK56,sK60)))
| ~ frontsegP(cons(sK57,sK56),cons(sK57,app(sK56,sK60))) ),
inference(superposition,[status(thm)],[c_201254,c_174]) ).
tcf(c_201258,plain,
( ( app(cons(sK57,sK56),sK11(cons(sK57,app(sK56,sK60)),cons(sK57,sK56))) = cons(sK57,app(sK56,sK60)) )
| ~ ssList(cons(sK57,sK56))
| ~ ssList(cons(sK57,app(sK56,sK60))) ),
inference(superposition,[status(thm)],[c_201254,c_63]) ).
tcf(c_201260,plain,
( frontsegP(app(sK56,sK60),sK56)
| ~ ssList(sK56)
| ~ ssItem(sK57)
| ~ ssList(app(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_201254,c_179]) ).
tcf(c_201261,plain,
( frontsegP(app(sK56,sK60),sK56)
| ~ ssList(app(sK56,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201260,c_12924,c_12925]) ).
tcf(c_201264,plain,
( ( app(cons(sK57,sK56),sK11(cons(sK57,app(sK56,sK60)),cons(sK57,sK56))) = cons(sK57,app(sK56,sK60)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201258,c_199547]) ).
tcf(c_201267,plain,
( ( cons(sK57,app(sK56,sK60)) = cons(sK57,sK56) )
| ~ ssList(cons(sK57,sK56))
| ~ frontsegP(cons(sK57,sK56),cons(sK57,app(sK56,sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201257,c_199547]) ).
tcf(c_201289,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK60),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_201261,c_173]) ).
tcf(c_201290,plain,
( ( app(sK56,sK60) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK60))
| ~ frontsegP(sK56,app(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_201261,c_174]) ).
tcf(c_201291,plain,
( ( app(sK56,sK11(app(sK56,sK60),sK56)) = app(sK56,sK60) )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_201261,c_63]) ).
tcf(c_201292,plain,
( ( app(sK56,sK11(app(sK56,sK60),sK56)) = app(sK56,sK60) )
| ~ ssList(app(sK56,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201291,c_12924]) ).
tcf(c_201295,plain,
( ( app(sK56,sK60) = sK56 )
| ~ ssList(app(sK56,sK60))
| ~ frontsegP(sK56,app(sK56,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201290,c_12924]) ).
tcf(c_201299,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK60),X0)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201289,c_12924]) ).
tcf(c_201310,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,app(sK60,sK60)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(cons(sK57,app(sK60,sK60))) ),
inference(superposition,[status(thm)],[c_199648,c_183]) ).
tcf(c_201311,plain,
! [X0: $i] :
( ( cons(sK57,app(sK60,sK60)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ ssList(cons(sK57,app(sK60,sK60)))
| ~ rearsegP(X0,cons(sK57,app(sK60,sK60))) ),
inference(superposition,[status(thm)],[c_199648,c_184]) ).
tcf(c_201312,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,app(sK60,sK60)),X0),X0) = cons(sK57,app(sK60,sK60)) )
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ ssList(cons(sK57,app(sK60,sK60))) ),
inference(superposition,[status(thm)],[c_199648,c_66]) ).
tcf(c_201313,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,app(sK60,sK60)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ rearsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201310,c_198436]) ).
tcf(c_201319,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,app(sK60,sK60)),X0),X0) = cons(sK57,app(sK60,sK60)) )
| ~ ssList(X0)
| ~ rearsegP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201312,c_198436]) ).
tcf(c_201323,plain,
! [X0: $i] :
( ( cons(sK57,app(sK60,sK60)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ rearsegP(X0,cons(sK57,app(sK60,sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201311,c_198436]) ).
tcf(c_201334,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,app(sK59,sK60)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(cons(sK57,app(sK59,sK60))) ),
inference(superposition,[status(thm)],[c_199732,c_183]) ).
tcf(c_201335,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK60)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ ssList(cons(sK57,app(sK59,sK60)))
| ~ rearsegP(X0,cons(sK57,app(sK59,sK60))) ),
inference(superposition,[status(thm)],[c_199732,c_184]) ).
tcf(c_201336,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,app(sK59,sK60)),X0),X0) = cons(sK57,app(sK59,sK60)) )
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ ssList(cons(sK57,app(sK59,sK60))) ),
inference(superposition,[status(thm)],[c_199732,c_66]) ).
tcf(c_201337,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,app(sK59,sK60)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ rearsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201334,c_198773]) ).
tcf(c_201343,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,app(sK59,sK60)),X0),X0) = cons(sK57,app(sK59,sK60)) )
| ~ ssList(X0)
| ~ rearsegP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201336,c_198773]) ).
tcf(c_201347,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK60)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ rearsegP(X0,cons(sK57,app(sK59,sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201335,c_198773]) ).
tcf(c_201358,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,app(sK56,sK60)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(cons(sK57,app(sK56,sK60))) ),
inference(superposition,[status(thm)],[c_200479,c_183]) ).
tcf(c_201359,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK60)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ ssList(cons(sK57,app(sK56,sK60)))
| ~ rearsegP(X0,cons(sK57,app(sK56,sK60))) ),
inference(superposition,[status(thm)],[c_200479,c_184]) ).
tcf(c_201360,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,app(sK56,sK60)),X0),X0) = cons(sK57,app(sK56,sK60)) )
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ ssList(cons(sK57,app(sK56,sK60))) ),
inference(superposition,[status(thm)],[c_200479,c_66]) ).
tcf(c_201361,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,app(sK56,sK60)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ rearsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201358,c_199547]) ).
tcf(c_201367,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,app(sK56,sK60)),X0),X0) = cons(sK57,app(sK56,sK60)) )
| ~ ssList(X0)
| ~ rearsegP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201360,c_199547]) ).
tcf(c_201371,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK60)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ rearsegP(X0,cons(sK57,app(sK56,sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201359,c_199547]) ).
tcf(c_201405,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_197764]) ).
tcf(c_201406,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_197764]) ).
tcf(c_201407,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_197764]) ).
tcf(c_201408,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_197764]) ).
tcf(c_201409,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_197764]) ).
tcf(c_201410,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_197764]) ).
tcf(c_201411,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_197764]) ).
tcf(c_201421,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_197764]) ).
tcf(c_201422,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_197764]) ).
tcf(c_201423,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_197764]) ).
tcf(c_201424,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_197764]) ).
tcf(c_201425,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_197764]) ).
tcf(c_201426,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_197764]) ).
tcf(c_201427,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_197764]) ).
tcf(c_201428,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_197764]) ).
tcf(c_201429,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_197764]) ).
tcf(c_201430,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_197764]) ).
tcf(c_201431,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_197764]) ).
tcf(c_201432,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_197764]) ).
tcf(c_201433,plain,
cons(sK57,app(nil,sK59)) = app(cons(sK57,nil),sK59),
inference(superposition,[status(thm)],[c_141,c_197764]) ).
tcf(c_201434,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_197764]) ).
tcf(c_201435,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_197764]) ).
tcf(c_201436,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_197764]) ).
tcf(c_201437,plain,
cons(sK57,app(sK60,sK59)) = app(cons(sK57,sK60),sK59),
inference(superposition,[status(thm)],[c_12927,c_197764]) ).
tcf(c_201438,plain,
cons(sK57,app(sK59,sK59)) = app(cons(sK57,sK59),sK59),
inference(superposition,[status(thm)],[c_12926,c_197764]) ).
tcf(c_201439,plain,
cons(sK57,app(sK56,sK59)) = app(cons(sK57,sK56),sK59),
inference(superposition,[status(thm)],[c_12924,c_197764]) ).
tcf(c_201440,plain,
cons(sK57,app(iPr_def_13,sK59)) = app(cons(sK57,iPr_def_13),sK59),
inference(superposition,[status(thm)],[c_172540,c_197764]) ).
tcf(c_201441,plain,
cons(sK57,app(iPr_def_11,sK59)) = app(cons(sK57,iPr_def_11),sK59),
inference(superposition,[status(thm)],[c_173202,c_197764]) ).
tcf(c_201442,plain,
cons(sK57,app(iPr_def_12,sK59)) = app(cons(sK57,iPr_def_12),sK59),
inference(superposition,[status(thm)],[c_173203,c_197764]) ).
tcf(c_201443,plain,
cons(sK57,app(iPr_def_10,sK59)) = app(cons(sK57,iPr_def_10),sK59),
inference(superposition,[status(thm)],[c_173031,c_197764]) ).
tcf(c_201444,plain,
cons(sK57,app(cons(sK57,sK60),sK59)) = app(cons(sK57,cons(sK57,sK60)),sK59),
inference(superposition,[status(thm)],[c_199078,c_197764]) ).
tcf(c_201445,plain,
( ( nil = sK60 )
| ( cons(sK57,app(tl(sK60),sK59)) = app(cons(sK57,tl(sK60)),sK59) ) ),
inference(superposition,[status(thm)],[c_175448,c_197764]) ).
tcf(c_201446,plain,
( ( nil = sK59 )
| ( cons(sK57,app(tl(sK59),sK59)) = app(cons(sK57,tl(sK59)),sK59) ) ),
inference(superposition,[status(thm)],[c_175843,c_197764]) ).
tcf(c_201447,plain,
( ( nil = sK56 )
| ( cons(sK57,app(tl(sK56),sK59)) = app(cons(sK57,tl(sK56)),sK59) ) ),
inference(superposition,[status(thm)],[c_175889,c_197764]) ).
tcf(c_201448,plain,
cons(sK57,app(tl(iPr_def_13),sK59)) = app(cons(sK57,tl(iPr_def_13)),sK59),
inference(superposition,[status(thm)],[c_182143,c_197764]) ).
tcf(c_201449,plain,
cons(sK57,app(tl(iPr_def_11),sK59)) = app(cons(sK57,tl(iPr_def_11)),sK59),
inference(superposition,[status(thm)],[c_182940,c_197764]) ).
tcf(c_201450,plain,
cons(sK57,app(tl(iPr_def_12),sK59)) = app(cons(sK57,tl(iPr_def_12)),sK59),
inference(superposition,[status(thm)],[c_184135,c_197764]) ).
tcf(c_201451,plain,
cons(sK57,app(cons(sK57,app(sK60,sK60)),sK59)) = app(cons(sK57,cons(sK57,app(sK60,sK60))),sK59),
inference(superposition,[status(thm)],[c_198436,c_197764]) ).
tcf(c_201452,plain,
cons(sK57,app(cons(sK57,app(sK59,sK60)),sK59)) = app(cons(sK57,cons(sK57,app(sK59,sK60))),sK59),
inference(superposition,[status(thm)],[c_198773,c_197764]) ).
tcf(c_201453,plain,
cons(sK57,app(cons(sK57,app(sK56,sK60)),sK59)) = app(cons(sK57,cons(sK57,app(sK56,sK60))),sK59),
inference(superposition,[status(thm)],[c_199547,c_197764]) ).
tcf(c_201454,plain,
cons(sK57,sK59) = app(iPr_def_10,sK59),
inference(light_normalisation,[status(thm)],[c_201433,c_172879,c_195876]) ).
tcf(c_201768,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK60,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ~ ssList(app(app(cons(sK57,sK60),sK59),X0)) ),
inference(superposition,[status(thm)],[c_201437,c_67]) ).
tcf(c_201771,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(cons(sK57,sK60),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK60))
| ~ memberP(cons(sK57,app(sK60,sK59)),X0) ),
inference(superposition,[status(thm)],[c_201437,c_167]) ).
tcf(c_201772,plain,
( ( cons(sK57,sK60) = nil )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_201437,c_231]) ).
tcf(c_201773,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_201437,c_230]) ).
tcf(c_201774,plain,
( frontsegP(cons(sK57,app(sK60,sK59)),cons(sK57,sK60))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_201437,c_378]) ).
tcf(c_201775,plain,
( rearsegP(cons(sK57,app(sK60,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_201437,c_375]) ).
tcf(c_201776,plain,
( ssList(cons(sK57,app(sK60,sK59)))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_201437,c_153]) ).
tcf(c_201777,plain,
! [X0: $i] :
( ( cons(sK57,sK60) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK59)) != app(X0,sK59) ) ),
inference(superposition,[status(thm)],[c_201437,c_225]) ).
tcf(c_201778,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ( app(cons(sK57,sK60),X0) != cons(sK57,app(sK60,sK59)) ) ),
inference(superposition,[status(thm)],[c_201437,c_226]) ).
tcf(c_201779,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK60,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ~ frontsegP(cons(sK57,sK60),X0) ),
inference(superposition,[status(thm)],[c_201437,c_176]) ).
tcf(c_201780,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK60,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK60))
| ~ memberP(cons(sK57,sK60),X0) ),
inference(superposition,[status(thm)],[c_201437,c_165]) ).
tcf(c_201781,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK60,sK59)),X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_201437,c_193]) ).
tcf(c_201782,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK60,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_201437,c_186]) ).
tcf(c_201783,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK60,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_201437,c_166]) ).
tcf(c_201784,plain,
( ( cons(sK57,sK60) = nil )
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_201437,c_186306]) ).
tcf(c_201785,plain,
ssList(cons(sK57,app(sK60,sK59))),
inference(forward_subsumption_resolution,[status(thm)],[c_201776,c_12926,c_199078]) ).
tcf(c_201786,plain,
rearsegP(cons(sK57,app(sK60,sK59)),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_201775,c_12926,c_199078]) ).
tcf(c_201787,plain,
frontsegP(cons(sK57,app(sK60,sK59)),cons(sK57,sK60)),
inference(forward_subsumption_resolution,[status(thm)],[c_201774,c_12926,c_199078]) ).
tcf(c_201788,plain,
cons(sK57,app(sK60,sK59)) != sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_201784,c_199088,c_199078]) ).
tcf(c_201792,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK60,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201783,c_12926,c_199078]) ).
tcf(c_201796,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK60,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201782,c_12926,c_199078]) ).
tcf(c_201800,plain,
cons(sK57,app(sK60,sK59)) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_201772,c_199088,c_12926,c_199078]) ).
tcf(c_201801,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK60,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201780,c_12926,c_199078]) ).
tcf(c_201805,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK60,sK59)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201779,c_12926,c_199078]) ).
tcf(c_201809,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK60,sK59)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201781,c_12926,c_199078]) ).
tcf(c_201814,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(cons(sK57,sK60),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK60,sK59)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201771,c_12926,c_199078]) ).
tcf(c_201819,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ( app(cons(sK57,sK60),X0) != cons(sK57,app(sK60,sK59)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201778,c_12926,c_199078]) ).
tcf(c_201823,plain,
! [X0: $i] :
( ( cons(sK57,sK60) = X0 )
| ~ ssList(X0)
| ( cons(sK57,app(sK60,sK59)) != app(X0,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201777,c_12926,c_199078]) ).
tcf(c_201827,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK60,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ~ ssList(app(cons(sK57,app(sK60,sK59)),X0)) ),
inference(light_normalisation,[status(thm)],[c_201768,c_201437]) ).
tcf(c_201828,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK60,sK59)),X0),sK59)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,app(sK60,sK59)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201827,c_12926,c_199078]) ).
tcf(c_201864,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,tl(sK59)),X0),nil)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK59)))
| ~ ssList(app(app(cons(sK57,tl(sK59)),nil),X0)) ),
inference(superposition,[status(thm)],[c_175857,c_67]) ).
tcf(c_201870,plain,
( frontsegP(cons(sK57,tl(sK59)),cons(sK57,tl(sK59)))
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(cons(sK57,tl(sK59))) ),
inference(superposition,[status(thm)],[c_175857,c_378]) ).
tcf(c_201871,plain,
( rearsegP(cons(sK57,tl(sK59)),nil)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(cons(sK57,tl(sK59))) ),
inference(superposition,[status(thm)],[c_175857,c_375]) ).
tcf(c_201873,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( cons(sK57,tl(sK59)) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK59)))
| ( cons(sK57,tl(sK59)) != app(X0,nil) ) ),
inference(superposition,[status(thm)],[c_175857,c_225]) ).
tcf(c_201874,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK59)))
| ( app(cons(sK57,tl(sK59)),X0) != cons(sK57,tl(sK59)) ) ),
inference(superposition,[status(thm)],[c_175857,c_226]) ).
tcf(c_201877,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,tl(sK59)),X1),X0)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK57,tl(sK59))) ),
inference(superposition,[status(thm)],[c_175857,c_193]) ).
tcf(c_201878,plain,
! [X0: $i] :
( rearsegP(cons(sK57,tl(sK59)),X0)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,tl(sK59))) ),
inference(superposition,[status(thm)],[c_175857,c_186]) ).
tcf(c_201883,plain,
( rearsegP(cons(sK57,tl(sK59)),nil)
| ( nil = sK59 )
| ~ ssList(cons(sK57,tl(sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201871,c_141]) ).
tcf(c_201887,plain,
( frontsegP(cons(sK57,tl(sK59)),cons(sK57,tl(sK59)))
| ( nil = sK59 )
| ~ ssList(cons(sK57,tl(sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201870,c_141]) ).
tcf(c_201891,plain,
! [X0: $i] :
( rearsegP(cons(sK57,tl(sK59)),X0)
| ( nil = sK59 )
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,tl(sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201878,c_141]) ).
tcf(c_201897,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,tl(sK59)),X1),X0)
| ( nil = sK59 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK57,tl(sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201877,c_141]) ).
tcf(c_201904,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK59)))
| ( app(cons(sK57,tl(sK59)),X0) != cons(sK57,tl(sK59)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201874,c_141]) ).
tcf(c_201910,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( cons(sK57,tl(sK59)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK59)))
| ( cons(sK57,tl(sK59)) != app(X0,nil) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201873,c_141]) ).
tcf(c_201916,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,tl(sK59)),X0),nil)
| ( nil = sK59 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK59)))
| ~ ssList(app(app(cons(sK57,tl(sK59)),nil),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201864,c_141]) ).
tcf(c_201942,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK57,app(sK60,sK59))) = app(X0,app(X1,cons(sK57,app(sK60,sK59)))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_201785,c_228]) ).
tcf(c_201943,plain,
cons(sK57,app(cons(sK57,app(sK60,sK59)),sK59)) = app(cons(sK57,cons(sK57,app(sK60,sK59))),sK59),
inference(superposition,[status(thm)],[c_201785,c_197764]) ).
tcf(c_201944,plain,
hd(cons(sK7,cons(sK57,app(sK60,sK59)))) = sK7,
inference(superposition,[status(thm)],[c_201785,c_174092]) ).
tcf(c_201945,plain,
hd(cons(sK6,cons(sK57,app(sK60,sK59)))) = sK6,
inference(superposition,[status(thm)],[c_201785,c_174091]) ).
tcf(c_201946,plain,
cons(sK57,app(cons(sK57,app(sK60,sK59)),sK60)) = app(cons(sK57,cons(sK57,app(sK60,sK59))),sK60),
inference(superposition,[status(thm)],[c_201785,c_197763]) ).
tcf(c_201947,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,app(sK60,sK59)))) = app(cons(sK57,X0),cons(sK57,app(sK60,sK59))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_201785,c_182224]) ).
tcf(c_201948,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK60,sK59))) = tl(app(sK56,cons(sK57,app(sK60,sK59)))) ) ),
inference(superposition,[status(thm)],[c_201785,c_181006]) ).
tcf(c_201949,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK60,sK59))) = tl(app(sK59,cons(sK57,app(sK60,sK59)))) ) ),
inference(superposition,[status(thm)],[c_201785,c_181005]) ).
tcf(c_201950,plain,
( ( nil = sK60 )
| ( app(tl(sK60),cons(sK57,app(sK60,sK59))) = tl(app(sK60,cons(sK57,app(sK60,sK59)))) ) ),
inference(superposition,[status(thm)],[c_201785,c_181004]) ).
tcf(c_201951,plain,
( duplicatefreeP(cons(sK57,app(sK60,sK59)))
| ( app(app(sK42(cons(sK57,app(sK60,sK59))),cons(sK40(cons(sK57,app(sK60,sK59))),sK43(cons(sK57,app(sK60,sK59))))),cons(sK41(cons(sK57,app(sK60,sK59))),sK44(cons(sK57,app(sK60,sK59))))) = cons(sK57,app(sK60,sK59)) ) ),
inference(superposition,[status(thm)],[c_201785,c_124]) ).
tcf(c_201952,plain,
( strictorderedP(cons(sK57,app(sK60,sK59)))
| ( app(app(sK37(cons(sK57,app(sK60,sK59))),cons(sK35(cons(sK57,app(sK60,sK59))),sK38(cons(sK57,app(sK60,sK59))))),cons(sK36(cons(sK57,app(sK60,sK59))),sK39(cons(sK57,app(sK60,sK59))))) = cons(sK57,app(sK60,sK59)) ) ),
inference(superposition,[status(thm)],[c_201785,c_116]) ).
tcf(c_201953,plain,
( totalorderedP(cons(sK57,app(sK60,sK59)))
| ( app(app(sK32(cons(sK57,app(sK60,sK59))),cons(sK30(cons(sK57,app(sK60,sK59))),sK33(cons(sK57,app(sK60,sK59))))),cons(sK31(cons(sK57,app(sK60,sK59))),sK34(cons(sK57,app(sK60,sK59))))) = cons(sK57,app(sK60,sK59)) ) ),
inference(superposition,[status(thm)],[c_201785,c_108]) ).
tcf(c_201954,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK60,sK59)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_201785,c_179266]) ).
tcf(c_201955,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK60,sK59)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_201785,c_179265]) ).
tcf(c_201956,plain,
( ( nil = sK60 )
| ( hd(app(sK60,cons(sK57,app(sK60,sK59)))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_201785,c_179264]) ).
tcf(c_201957,plain,
! [X0: $i] :
( ( cons(sK57,app(sK60,sK59)) = nil )
| ( app(tl(cons(sK57,app(sK60,sK59))),X0) = tl(app(cons(sK57,app(sK60,sK59)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_201785,c_234]) ).
tcf(c_201958,plain,
( equalelemsP(cons(sK57,app(sK60,sK59)))
| ( app(sK47(cons(sK57,app(sK60,sK59))),cons(sK45(cons(sK57,app(sK60,sK59))),cons(sK46(cons(sK57,app(sK60,sK59))),sK48(cons(sK57,app(sK60,sK59)))))) = cons(sK57,app(sK60,sK59)) ) ),
inference(superposition,[status(thm)],[c_201785,c_132]) ).
tcf(c_201959,plain,
! [X0: $i] :
( ( cons(sK57,app(sK60,sK59)) = nil )
| ( hd(app(cons(sK57,app(sK60,sK59)),X0)) = hd(cons(sK57,app(sK60,sK59))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_201785,c_233]) ).
tcf(c_201960,plain,
( ( cons(sK57,app(sK60,sK59)) = nil )
| ( cons(hd(cons(sK57,app(sK60,sK59))),tl(cons(sK57,app(sK60,sK59)))) = cons(sK57,app(sK60,sK59)) ) ),
inference(superposition,[status(thm)],[c_201785,c_224]) ).
tcf(c_201961,plain,
( ( cons(sK57,app(sK60,sK59)) = nil )
| ( cons(sK50(cons(sK57,app(sK60,sK59))),sK49(cons(sK57,app(sK60,sK59)))) = cons(sK57,app(sK60,sK59)) ) ),
inference(superposition,[status(thm)],[c_201785,c_147]) ).
tcf(c_201962,plain,
( ( cons(sK57,app(sK60,sK59)) = nil )
| ( tl(cons(sK57,app(sK60,sK59))) = sK52(cons(sK57,app(sK60,sK59))) ) ),
inference(superposition,[status(thm)],[c_201785,c_222]) ).
tcf(c_201963,plain,
( ( cons(sK57,app(sK60,sK59)) = nil )
| ( hd(cons(sK57,app(sK60,sK59))) = sK51(cons(sK57,app(sK60,sK59))) ) ),
inference(superposition,[status(thm)],[c_201785,c_220]) ).
tcf(c_201964,plain,
app(nil,cons(sK57,cons(sK57,app(sK60,sK59)))) = cons(sK57,cons(sK57,app(sK60,sK59))),
inference(superposition,[status(thm)],[c_201785,c_173594]) ).
tcf(c_201965,plain,
tl(cons(sK57,cons(sK57,app(sK60,sK59)))) = cons(sK57,app(sK60,sK59)),
inference(superposition,[status(thm)],[c_201785,c_174232]) ).
tcf(c_201966,plain,
hd(cons(sK57,cons(sK57,app(sK60,sK59)))) = sK57,
inference(superposition,[status(thm)],[c_201785,c_174111]) ).
tcf(c_201967,plain,
( ( cons(sK57,app(sK60,sK59)) = nil )
| ( app(sK49(cons(sK57,app(sK60,sK59))),nil) = sK49(cons(sK57,app(sK60,sK59))) ) ),
inference(superposition,[status(thm)],[c_201785,c_173044]) ).
tcf(c_201968,plain,
( duplicatefreeP(cons(sK57,app(sK60,sK59)))
| ( sK40(cons(sK57,app(sK60,sK59))) = sK41(cons(sK57,app(sK60,sK59))) ) ),
inference(superposition,[status(thm)],[c_201785,c_123]) ).
tcf(c_201969,plain,
app(cons(sK57,cons(sK57,app(sK60,sK59))),nil) = cons(sK57,cons(sK57,app(sK60,sK59))),
inference(superposition,[status(thm)],[c_201785,c_173094]) ).
tcf(c_201970,plain,
app(cons(sK57,app(sK60,sK59)),nil) = cons(sK57,app(sK60,sK59)),
inference(superposition,[status(thm)],[c_201785,c_232]) ).
tcf(c_201971,plain,
app(nil,cons(sK57,app(sK60,sK59))) = cons(sK57,app(sK60,sK59)),
inference(superposition,[status(thm)],[c_201785,c_155]) ).
tcf(c_202172,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK60,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,app(sK60,sK59))) ),
inference(superposition,[status(thm)],[c_201786,c_183]) ).
tcf(c_202173,plain,
( ( cons(sK57,app(sK60,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK60,sK59)))
| ~ rearsegP(sK59,cons(sK57,app(sK60,sK59))) ),
inference(superposition,[status(thm)],[c_201786,c_184]) ).
tcf(c_202174,plain,
( ( app(sK12(cons(sK57,app(sK60,sK59)),sK59),sK59) = cons(sK57,app(sK60,sK59)) )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK60,sK59))) ),
inference(superposition,[status(thm)],[c_201786,c_66]) ).
tcf(c_202176,plain,
app(sK12(cons(sK57,app(sK60,sK59)),sK59),sK59) = cons(sK57,app(sK60,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_202174,c_12926,c_201785]) ).
tcf(c_202177,plain,
( ( cons(sK57,app(sK60,sK59)) = sK59 )
| ~ rearsegP(sK59,cons(sK57,app(sK60,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202173,c_12926,c_201785]) ).
tcf(c_202190,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK60,sK59)),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ~ frontsegP(cons(sK57,sK60),X0)
| ~ ssList(cons(sK57,app(sK60,sK59))) ),
inference(superposition,[status(thm)],[c_201787,c_173]) ).
tcf(c_202191,plain,
( ( cons(sK57,app(sK60,sK59)) = cons(sK57,sK60) )
| ~ ssList(cons(sK57,sK60))
| ~ ssList(cons(sK57,app(sK60,sK59)))
| ~ frontsegP(cons(sK57,sK60),cons(sK57,app(sK60,sK59))) ),
inference(superposition,[status(thm)],[c_201787,c_174]) ).
tcf(c_202192,plain,
( ( app(cons(sK57,sK60),sK11(cons(sK57,app(sK60,sK59)),cons(sK57,sK60))) = cons(sK57,app(sK60,sK59)) )
| ~ ssList(cons(sK57,sK60))
| ~ ssList(cons(sK57,app(sK60,sK59))) ),
inference(superposition,[status(thm)],[c_201787,c_63]) ).
tcf(c_202194,plain,
( frontsegP(app(sK60,sK59),sK60)
| ~ ssList(sK60)
| ~ ssItem(sK57)
| ~ ssList(app(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_201787,c_179]) ).
tcf(c_202195,plain,
( frontsegP(app(sK60,sK59),sK60)
| ~ ssList(app(sK60,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202194,c_12927,c_12925]) ).
tcf(c_202199,plain,
app(cons(sK57,sK60),sK11(cons(sK57,app(sK60,sK59)),cons(sK57,sK60))) = cons(sK57,app(sK60,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_202192,c_199078,c_201785]) ).
tcf(c_202200,plain,
( ( cons(sK57,app(sK60,sK59)) = cons(sK57,sK60) )
| ~ frontsegP(cons(sK57,sK60),cons(sK57,app(sK60,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202191,c_199078,c_201785]) ).
tcf(c_202206,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,iPr_def_13) = nil )
| ( cons(sK7,iPr_def_13) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,iPr_def_13))
| ( hd(X0) != sK7 )
| ( tl(cons(sK7,iPr_def_13)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_200882,c_223]) ).
tcf(c_202207,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK7,iPr_def_13)))
| ( cons(sK7,iPr_def_13) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK7)
| ~ strictorderedP(cons(sK7,iPr_def_13))
| ~ ssList(cons(sK7,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_200882,c_212]) ).
tcf(c_202208,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK7,iPr_def_13)))
| ( cons(sK7,iPr_def_13) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK7)
| ~ totalorderedP(cons(sK7,iPr_def_13))
| ~ ssList(cons(sK7,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_200882,c_206]) ).
tcf(c_202233,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_200883,c_223]) ).
tcf(c_202234,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_200883,c_212]) ).
tcf(c_202235,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_200883,c_206]) ).
tcf(c_202273,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_200884,c_223]) ).
tcf(c_202274,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_200884,c_212]) ).
tcf(c_202275,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_200884,c_206]) ).
tcf(c_202301,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_200885,c_223]) ).
tcf(c_202302,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_200885,c_212]) ).
tcf(c_202303,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_200885,c_206]) ).
tcf(c_202365,plain,
! [X0: $i] :
( frontsegP(app(sK60,sK59),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ frontsegP(sK60,X0)
| ~ ssList(app(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_202195,c_173]) ).
tcf(c_202366,plain,
( ( app(sK60,sK59) = sK60 )
| ~ ssList(sK60)
| ~ ssList(app(sK60,sK59))
| ~ frontsegP(sK60,app(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_202195,c_174]) ).
tcf(c_202367,plain,
( ( app(sK60,sK11(app(sK60,sK59),sK60)) = app(sK60,sK59) )
| ~ ssList(sK60)
| ~ ssList(app(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_202195,c_63]) ).
tcf(c_202368,plain,
( ( app(sK60,sK11(app(sK60,sK59),sK60)) = app(sK60,sK59) )
| ~ ssList(app(sK60,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202367,c_12927]) ).
tcf(c_202371,plain,
( ( app(sK60,sK59) = sK60 )
| ~ ssList(app(sK60,sK59))
| ~ frontsegP(sK60,app(sK60,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202366,c_12927]) ).
tcf(c_202375,plain,
! [X0: $i] :
( frontsegP(app(sK60,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(sK60,X0)
| ~ ssList(app(sK60,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202365,c_12927]) ).
tcf(c_202455,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_201438,c_67]) ).
tcf(c_202458,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_201438,c_167]) ).
tcf(c_202459,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_201438,c_231]) ).
tcf(c_202460,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_201438,c_230]) ).
tcf(c_202461,plain,
( frontsegP(cons(sK57,app(sK59,sK59)),cons(sK57,sK59))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_201438,c_378]) ).
tcf(c_202462,plain,
( rearsegP(cons(sK57,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_201438,c_375]) ).
tcf(c_202463,plain,
( ssList(cons(sK57,app(sK59,sK59)))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_201438,c_153]) ).
tcf(c_202464,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_201438,c_225]) ).
tcf(c_202465,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_201438,c_226]) ).
tcf(c_202466,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_201438,c_176]) ).
tcf(c_202467,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_201438,c_165]) ).
tcf(c_202468,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_201438,c_193]) ).
tcf(c_202469,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_201438,c_186]) ).
tcf(c_202470,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_201438,c_166]) ).
tcf(c_202471,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_201438,c_186306]) ).
tcf(c_202472,plain,
( ssList(cons(sK57,app(sK59,sK59)))
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202463,c_12926]) ).
tcf(c_202475,plain,
( rearsegP(cons(sK57,app(sK59,sK59)),sK59)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202462,c_12926]) ).
tcf(c_202478,plain,
( frontsegP(cons(sK57,app(sK59,sK59)),cons(sK57,sK59))
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202461,c_12926]) ).
tcf(c_202484,plain,
( ( nil = sK59 )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202460,c_12926]) ).
tcf(c_202488,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202470,c_12926]) ).
tcf(c_202493,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202469,c_12926]) ).
tcf(c_202498,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202459,c_12926]) ).
tcf(c_202502,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK59))
| ~ memberP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202467,c_12926]) ).
tcf(c_202507,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ frontsegP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202466,c_12926]) ).
tcf(c_202512,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK59,sK59)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202468,c_12926]) ).
tcf(c_202518,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(cons(sK57,sK59),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK59))
| ~ memberP(cons(sK57,app(sK59,sK59)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202458,c_12926]) ).
tcf(c_202524,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ( app(cons(sK57,sK59),X0) != cons(sK57,app(sK59,sK59)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202465,c_12926]) ).
tcf(c_202529,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK59)) != app(X0,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202464,c_12926]) ).
tcf(c_202534,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_202455,c_201438]) ).
tcf(c_202535,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK59,sK59)),X0),sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ ssList(app(cons(sK57,app(sK59,sK59)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202534,c_12926]) ).
tcf(c_202549,plain,
ssList(cons(sK57,app(sK59,sK59))),
inference(global_subsumption_just,[status(thm)],[c_202472,c_46477]) ).
tcf(c_202551,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_202549,c_228]) ).
tcf(c_202552,plain,
cons(sK57,app(cons(sK57,app(sK59,sK59)),sK59)) = app(cons(sK57,cons(sK57,app(sK59,sK59))),sK59),
inference(superposition,[status(thm)],[c_202549,c_197764]) ).
tcf(c_202553,plain,
hd(cons(sK7,cons(sK57,app(sK59,sK59)))) = sK7,
inference(superposition,[status(thm)],[c_202549,c_174092]) ).
tcf(c_202554,plain,
hd(cons(sK6,cons(sK57,app(sK59,sK59)))) = sK6,
inference(superposition,[status(thm)],[c_202549,c_174091]) ).
tcf(c_202555,plain,
cons(sK57,app(cons(sK57,app(sK59,sK59)),sK60)) = app(cons(sK57,cons(sK57,app(sK59,sK59))),sK60),
inference(superposition,[status(thm)],[c_202549,c_197763]) ).
tcf(c_202556,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_202549,c_182224]) ).
tcf(c_202557,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK59,sK59))) = tl(app(sK56,cons(sK57,app(sK59,sK59)))) ) ),
inference(superposition,[status(thm)],[c_202549,c_181006]) ).
tcf(c_202558,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK59,sK59))) = tl(app(sK59,cons(sK57,app(sK59,sK59)))) ) ),
inference(superposition,[status(thm)],[c_202549,c_181005]) ).
tcf(c_202559,plain,
( ( nil = sK60 )
| ( app(tl(sK60),cons(sK57,app(sK59,sK59))) = tl(app(sK60,cons(sK57,app(sK59,sK59)))) ) ),
inference(superposition,[status(thm)],[c_202549,c_181004]) ).
tcf(c_202560,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_202549,c_124]) ).
tcf(c_202561,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_202549,c_116]) ).
tcf(c_202562,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_202549,c_108]) ).
tcf(c_202563,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK59,sK59)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_202549,c_179266]) ).
tcf(c_202564,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK59,sK59)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_202549,c_179265]) ).
tcf(c_202565,plain,
( ( nil = sK60 )
| ( hd(app(sK60,cons(sK57,app(sK59,sK59)))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_202549,c_179264]) ).
tcf(c_202566,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_202549,c_234]) ).
tcf(c_202567,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_202549,c_132]) ).
tcf(c_202568,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_202549,c_233]) ).
tcf(c_202569,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_202549,c_224]) ).
tcf(c_202570,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_202549,c_147]) ).
tcf(c_202571,plain,
( ( cons(sK57,app(sK59,sK59)) = nil )
| ( tl(cons(sK57,app(sK59,sK59))) = sK52(cons(sK57,app(sK59,sK59))) ) ),
inference(superposition,[status(thm)],[c_202549,c_222]) ).
tcf(c_202572,plain,
( ( cons(sK57,app(sK59,sK59)) = nil )
| ( hd(cons(sK57,app(sK59,sK59))) = sK51(cons(sK57,app(sK59,sK59))) ) ),
inference(superposition,[status(thm)],[c_202549,c_220]) ).
tcf(c_202573,plain,
app(nil,cons(sK57,cons(sK57,app(sK59,sK59)))) = cons(sK57,cons(sK57,app(sK59,sK59))),
inference(superposition,[status(thm)],[c_202549,c_173594]) ).
tcf(c_202574,plain,
tl(cons(sK57,cons(sK57,app(sK59,sK59)))) = cons(sK57,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_202549,c_174232]) ).
tcf(c_202575,plain,
hd(cons(sK57,cons(sK57,app(sK59,sK59)))) = sK57,
inference(superposition,[status(thm)],[c_202549,c_174111]) ).
tcf(c_202576,plain,
( ( cons(sK57,app(sK59,sK59)) = nil )
| ( app(sK49(cons(sK57,app(sK59,sK59))),nil) = sK49(cons(sK57,app(sK59,sK59))) ) ),
inference(superposition,[status(thm)],[c_202549,c_173044]) ).
tcf(c_202577,plain,
( duplicatefreeP(cons(sK57,app(sK59,sK59)))
| ( sK40(cons(sK57,app(sK59,sK59))) = sK41(cons(sK57,app(sK59,sK59))) ) ),
inference(superposition,[status(thm)],[c_202549,c_123]) ).
tcf(c_202578,plain,
app(cons(sK57,cons(sK57,app(sK59,sK59))),nil) = cons(sK57,cons(sK57,app(sK59,sK59))),
inference(superposition,[status(thm)],[c_202549,c_173094]) ).
tcf(c_202579,plain,
app(cons(sK57,app(sK59,sK59)),nil) = cons(sK57,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_202549,c_232]) ).
tcf(c_202580,plain,
app(nil,cons(sK57,app(sK59,sK59))) = cons(sK57,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_202549,c_155]) ).
tcf(c_202792,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_201439,c_67]) ).
tcf(c_202795,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_201439,c_167]) ).
tcf(c_202796,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_201439,c_231]) ).
tcf(c_202797,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_201439,c_230]) ).
tcf(c_202798,plain,
( frontsegP(cons(sK57,app(sK56,sK59)),cons(sK57,sK56))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_201439,c_378]) ).
tcf(c_202799,plain,
( rearsegP(cons(sK57,app(sK56,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_201439,c_375]) ).
tcf(c_202800,plain,
( ssList(cons(sK57,app(sK56,sK59)))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_201439,c_153]) ).
tcf(c_202801,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_201439,c_225]) ).
tcf(c_202802,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_201439,c_226]) ).
tcf(c_202803,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_201439,c_176]) ).
tcf(c_202804,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_201439,c_165]) ).
tcf(c_202805,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_201439,c_193]) ).
tcf(c_202806,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_201439,c_186]) ).
tcf(c_202807,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_201439,c_166]) ).
tcf(c_202808,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_201439,c_186306]) ).
tcf(c_202809,plain,
( ssList(cons(sK57,app(sK56,sK59)))
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202800,c_12926]) ).
tcf(c_202812,plain,
( rearsegP(cons(sK57,app(sK56,sK59)),sK59)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202799,c_12926]) ).
tcf(c_202815,plain,
( frontsegP(cons(sK57,app(sK56,sK59)),cons(sK57,sK56))
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202798,c_12926]) ).
tcf(c_202821,plain,
( ( nil = sK59 )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202797,c_12926]) ).
tcf(c_202825,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202807,c_12926]) ).
tcf(c_202830,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202806,c_12926]) ).
tcf(c_202835,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202796,c_12926]) ).
tcf(c_202839,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK56))
| ~ memberP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202804,c_12926]) ).
tcf(c_202844,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ frontsegP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202803,c_12926]) ).
tcf(c_202849,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK56,sK59)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202805,c_12926]) ).
tcf(c_202855,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(cons(sK57,sK56),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK56))
| ~ memberP(cons(sK57,app(sK56,sK59)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202795,c_12926]) ).
tcf(c_202861,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ( app(cons(sK57,sK56),X0) != cons(sK57,app(sK56,sK59)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202802,c_12926]) ).
tcf(c_202866,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK59)) != app(X0,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202801,c_12926]) ).
tcf(c_202871,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_202792,c_201439]) ).
tcf(c_202872,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK56,sK59)),X0),sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ ssList(app(cons(sK57,app(sK56,sK59)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202871,c_12926]) ).
tcf(c_202943,plain,
ssList(cons(sK57,app(sK56,sK59))),
inference(global_subsumption_just,[status(thm)],[c_202809,c_47053,c_49784]) ).
tcf(c_202945,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_202943,c_228]) ).
tcf(c_202946,plain,
cons(sK57,app(cons(sK57,app(sK56,sK59)),sK59)) = app(cons(sK57,cons(sK57,app(sK56,sK59))),sK59),
inference(superposition,[status(thm)],[c_202943,c_197764]) ).
tcf(c_202947,plain,
hd(cons(sK7,cons(sK57,app(sK56,sK59)))) = sK7,
inference(superposition,[status(thm)],[c_202943,c_174092]) ).
tcf(c_202948,plain,
hd(cons(sK6,cons(sK57,app(sK56,sK59)))) = sK6,
inference(superposition,[status(thm)],[c_202943,c_174091]) ).
tcf(c_202949,plain,
cons(sK57,app(cons(sK57,app(sK56,sK59)),sK60)) = app(cons(sK57,cons(sK57,app(sK56,sK59))),sK60),
inference(superposition,[status(thm)],[c_202943,c_197763]) ).
tcf(c_202950,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_202943,c_182224]) ).
tcf(c_202951,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK56,sK59))) = tl(app(sK56,cons(sK57,app(sK56,sK59)))) ) ),
inference(superposition,[status(thm)],[c_202943,c_181006]) ).
tcf(c_202952,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK56,sK59))) = tl(app(sK59,cons(sK57,app(sK56,sK59)))) ) ),
inference(superposition,[status(thm)],[c_202943,c_181005]) ).
tcf(c_202953,plain,
( ( nil = sK60 )
| ( app(tl(sK60),cons(sK57,app(sK56,sK59))) = tl(app(sK60,cons(sK57,app(sK56,sK59)))) ) ),
inference(superposition,[status(thm)],[c_202943,c_181004]) ).
tcf(c_202954,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_202943,c_124]) ).
tcf(c_202955,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_202943,c_116]) ).
tcf(c_202956,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_202943,c_108]) ).
tcf(c_202957,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK56,sK59)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_202943,c_179266]) ).
tcf(c_202958,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK56,sK59)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_202943,c_179265]) ).
tcf(c_202959,plain,
( ( nil = sK60 )
| ( hd(app(sK60,cons(sK57,app(sK56,sK59)))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_202943,c_179264]) ).
tcf(c_202960,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_202943,c_234]) ).
tcf(c_202961,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_202943,c_132]) ).
tcf(c_202962,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_202943,c_233]) ).
tcf(c_202963,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_202943,c_224]) ).
tcf(c_202964,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_202943,c_147]) ).
tcf(c_202965,plain,
( ( cons(sK57,app(sK56,sK59)) = nil )
| ( tl(cons(sK57,app(sK56,sK59))) = sK52(cons(sK57,app(sK56,sK59))) ) ),
inference(superposition,[status(thm)],[c_202943,c_222]) ).
tcf(c_202966,plain,
( ( cons(sK57,app(sK56,sK59)) = nil )
| ( hd(cons(sK57,app(sK56,sK59))) = sK51(cons(sK57,app(sK56,sK59))) ) ),
inference(superposition,[status(thm)],[c_202943,c_220]) ).
tcf(c_202967,plain,
app(nil,cons(sK57,cons(sK57,app(sK56,sK59)))) = cons(sK57,cons(sK57,app(sK56,sK59))),
inference(superposition,[status(thm)],[c_202943,c_173594]) ).
tcf(c_202968,plain,
tl(cons(sK57,cons(sK57,app(sK56,sK59)))) = cons(sK57,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_202943,c_174232]) ).
tcf(c_202969,plain,
hd(cons(sK57,cons(sK57,app(sK56,sK59)))) = sK57,
inference(superposition,[status(thm)],[c_202943,c_174111]) ).
tcf(c_202970,plain,
( ( cons(sK57,app(sK56,sK59)) = nil )
| ( app(sK49(cons(sK57,app(sK56,sK59))),nil) = sK49(cons(sK57,app(sK56,sK59))) ) ),
inference(superposition,[status(thm)],[c_202943,c_173044]) ).
tcf(c_202971,plain,
( duplicatefreeP(cons(sK57,app(sK56,sK59)))
| ( sK40(cons(sK57,app(sK56,sK59))) = sK41(cons(sK57,app(sK56,sK59))) ) ),
inference(superposition,[status(thm)],[c_202943,c_123]) ).
tcf(c_202972,plain,
app(cons(sK57,cons(sK57,app(sK56,sK59))),nil) = cons(sK57,cons(sK57,app(sK56,sK59))),
inference(superposition,[status(thm)],[c_202943,c_173094]) ).
tcf(c_202973,plain,
app(cons(sK57,app(sK56,sK59)),nil) = cons(sK57,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_202943,c_232]) ).
tcf(c_202974,plain,
app(nil,cons(sK57,app(sK56,sK59))) = cons(sK57,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_202943,c_155]) ).
tcf(c_203365,plain,
rearsegP(cons(sK57,app(sK59,sK59)),sK59),
inference(global_subsumption_just,[status(thm)],[c_202475,c_46478]) ).
tcf(c_203367,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_203365,c_183]) ).
tcf(c_203368,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_203365,c_184]) ).
tcf(c_203369,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_203365,c_66]) ).
tcf(c_203370,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203367,c_12926,c_202549]) ).
tcf(c_203374,plain,
app(sK12(cons(sK57,app(sK59,sK59)),sK59),sK59) = cons(sK57,app(sK59,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_203369,c_12926,c_202549]) ).
tcf(c_203375,plain,
( ( cons(sK57,app(sK59,sK59)) = sK59 )
| ~ rearsegP(sK59,cons(sK57,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203368,c_12926,c_202549]) ).
tcf(c_203380,plain,
rearsegP(cons(sK57,app(sK56,sK59)),sK59),
inference(global_subsumption_just,[status(thm)],[c_202812,c_47056,c_49784]) ).
tcf(c_203382,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_203380,c_183]) ).
tcf(c_203383,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_203380,c_184]) ).
tcf(c_203384,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_203380,c_66]) ).
tcf(c_203385,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203382,c_12926,c_202943]) ).
tcf(c_203389,plain,
app(sK12(cons(sK57,app(sK56,sK59)),sK59),sK59) = cons(sK57,app(sK56,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_203384,c_12926,c_202943]) ).
tcf(c_203390,plain,
( ( cons(sK57,app(sK56,sK59)) = sK59 )
| ~ rearsegP(sK59,cons(sK57,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203383,c_12926,c_202943]) ).
tcf(c_203408,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK60,sK59)),X0),cons(X0,sK9(cons(sK57,app(sK60,sK59)),X0))) = cons(sK57,app(sK60,sK59)) )
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(cons(sK57,app(sK60,sK59))) ),
inference(superposition,[status(thm)],[c_201792,c_57]) ).
tcf(c_203409,plain,
! [X0: $i] :
( memberP(app(sK60,sK59),X0)
| ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(app(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_201792,c_170]) ).
tcf(c_203410,plain,
! [X0: $i] :
( memberP(app(sK60,sK59),X0)
| ( X0 = sK57 )
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(app(sK60,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203409,c_12925]) ).
tcf(c_203416,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK60,sK59)),X0),cons(X0,sK9(cons(sK57,app(sK60,sK59)),X0))) = cons(sK57,app(sK60,sK59)) )
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203408,c_201785]) ).
tcf(c_203424,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_175858,c_67]) ).
tcf(c_203430,plain,
( frontsegP(tl(sK59),tl(sK59))
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(tl(sK59)) ),
inference(superposition,[status(thm)],[c_175858,c_378]) ).
tcf(c_203431,plain,
( rearsegP(tl(sK59),nil)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(tl(sK59)) ),
inference(superposition,[status(thm)],[c_175858,c_375]) ).
tcf(c_203433,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_175858,c_225]) ).
tcf(c_203434,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_175858,c_226]) ).
tcf(c_203437,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_175858,c_193]) ).
tcf(c_203438,plain,
! [X0: $i] :
( rearsegP(tl(sK59),X0)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_175858,c_186]) ).
tcf(c_203439,plain,
! [X0: $i] :
( memberP(tl(sK59),X0)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(tl(sK59))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_175858,c_166]) ).
tcf(c_203443,plain,
( rearsegP(tl(sK59),nil)
| ( nil = sK59 )
| ~ ssList(tl(sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203431,c_141]) ).
tcf(c_203447,plain,
( frontsegP(tl(sK59),tl(sK59))
| ( nil = sK59 )
| ~ ssList(tl(sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203430,c_141]) ).
tcf(c_203451,plain,
! [X0: $i] :
( memberP(tl(sK59),X0)
| ( nil = sK59 )
| ~ ssItem(X0)
| ~ ssList(tl(sK59))
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203439,c_141]) ).
tcf(c_203457,plain,
! [X0: $i] :
( rearsegP(tl(sK59),X0)
| ( nil = sK59 )
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203438,c_141]) ).
tcf(c_203463,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_203437,c_141]) ).
tcf(c_203470,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_203434,c_141]) ).
tcf(c_203476,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_203433,c_141]) ).
tcf(c_203482,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_203424,c_141]) ).
tcf(c_203539,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_174212]) ).
tcf(c_203540,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_174212]) ).
tcf(c_203541,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_174212]) ).
tcf(c_203542,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_174212]) ).
tcf(c_203543,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_174212]) ).
tcf(c_203544,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_174212]) ).
tcf(c_203545,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_174212]) ).
tcf(c_203555,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK6,sK34(X0))) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_174212]) ).
tcf(c_203556,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK6,sK33(X0))) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_174212]) ).
tcf(c_203557,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK6,sK32(X0))) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_174212]) ).
tcf(c_203558,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK6,sK39(X0))) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_174212]) ).
tcf(c_203559,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK6,sK38(X0))) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_174212]) ).
tcf(c_203560,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK6,sK37(X0))) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_174212]) ).
tcf(c_203561,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK6,sK44(X0))) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_174212]) ).
tcf(c_203562,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK6,sK43(X0))) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_174212]) ).
tcf(c_203563,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK6,sK42(X0))) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_174212]) ).
tcf(c_203564,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( tl(cons(sK6,sK48(X0))) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_174212]) ).
tcf(c_203565,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( tl(cons(sK6,sK47(X0))) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_174212]) ).
tcf(c_203566,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_174212]) ).
tcf(c_203567,plain,
tl(cons(sK6,nil)) = nil,
inference(superposition,[status(thm)],[c_141,c_174212]) ).
tcf(c_203568,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK6,sK49(X0))) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_174212]) ).
tcf(c_203569,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK6,tl(X0))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_174212]) ).
tcf(c_203570,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK6,sK52(X0))) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_174212]) ).
tcf(c_203571,plain,
tl(cons(sK6,sK60)) = sK60,
inference(superposition,[status(thm)],[c_12927,c_174212]) ).
tcf(c_203572,plain,
tl(cons(sK6,sK59)) = sK59,
inference(superposition,[status(thm)],[c_12926,c_174212]) ).
tcf(c_203573,plain,
tl(cons(sK6,sK56)) = sK56,
inference(superposition,[status(thm)],[c_12924,c_174212]) ).
tcf(c_203574,plain,
tl(cons(sK6,iPr_def_13)) = iPr_def_13,
inference(superposition,[status(thm)],[c_172540,c_174212]) ).
tcf(c_203575,plain,
tl(cons(sK6,iPr_def_11)) = iPr_def_11,
inference(superposition,[status(thm)],[c_173202,c_174212]) ).
tcf(c_203576,plain,
tl(cons(sK6,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_173203,c_174212]) ).
tcf(c_203577,plain,
tl(cons(sK6,iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_173031,c_174212]) ).
tcf(c_203578,plain,
tl(cons(sK6,cons(sK57,sK60))) = cons(sK57,sK60),
inference(superposition,[status(thm)],[c_199078,c_174212]) ).
tcf(c_203579,plain,
( ( nil = sK60 )
| ( tl(cons(sK6,tl(sK60))) = tl(sK60) ) ),
inference(superposition,[status(thm)],[c_175448,c_174212]) ).
tcf(c_203580,plain,
( ( nil = sK59 )
| ( tl(cons(sK6,tl(sK59))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_175843,c_174212]) ).
tcf(c_203581,plain,
( ( nil = sK56 )
| ( tl(cons(sK6,tl(sK56))) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_175889,c_174212]) ).
tcf(c_203582,plain,
tl(cons(sK6,tl(iPr_def_13))) = tl(iPr_def_13),
inference(superposition,[status(thm)],[c_182143,c_174212]) ).
tcf(c_203583,plain,
tl(cons(sK6,tl(iPr_def_11))) = tl(iPr_def_11),
inference(superposition,[status(thm)],[c_182940,c_174212]) ).
tcf(c_203584,plain,
tl(cons(sK6,tl(iPr_def_12))) = tl(iPr_def_12),
inference(superposition,[status(thm)],[c_184135,c_174212]) ).
tcf(c_203585,plain,
tl(cons(sK6,cons(sK57,app(sK60,sK60)))) = cons(sK57,app(sK60,sK60)),
inference(superposition,[status(thm)],[c_198436,c_174212]) ).
tcf(c_203586,plain,
tl(cons(sK6,cons(sK57,app(sK59,sK60)))) = cons(sK57,app(sK59,sK60)),
inference(superposition,[status(thm)],[c_198773,c_174212]) ).
tcf(c_203587,plain,
tl(cons(sK6,cons(sK57,app(sK56,sK60)))) = cons(sK57,app(sK56,sK60)),
inference(superposition,[status(thm)],[c_199547,c_174212]) ).
tcf(c_203588,plain,
tl(cons(sK6,cons(sK57,app(sK60,sK59)))) = cons(sK57,app(sK60,sK59)),
inference(superposition,[status(thm)],[c_201785,c_174212]) ).
tcf(c_203589,plain,
tl(cons(sK6,cons(sK57,app(sK59,sK59)))) = cons(sK57,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_202549,c_174212]) ).
tcf(c_203590,plain,
tl(cons(sK6,cons(sK57,app(sK56,sK59)))) = cons(sK57,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_202943,c_174212]) ).
tcf(c_203931,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,app(sK60,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(cons(sK57,app(sK60,sK59))) ),
inference(superposition,[status(thm)],[c_201796,c_183]) ).
tcf(c_203932,plain,
! [X0: $i] :
( ( cons(sK57,app(sK60,sK59)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,app(sK60,sK59)))
| ~ rearsegP(X0,cons(sK57,app(sK60,sK59))) ),
inference(superposition,[status(thm)],[c_201796,c_184]) ).
tcf(c_203933,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,app(sK60,sK59)),X0),X0) = cons(sK57,app(sK60,sK59)) )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,app(sK60,sK59))) ),
inference(superposition,[status(thm)],[c_201796,c_66]) ).
tcf(c_203934,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,app(sK60,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ rearsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203931,c_201785]) ).
tcf(c_203940,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,app(sK60,sK59)),X0),X0) = cons(sK57,app(sK60,sK59)) )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203933,c_201785]) ).
tcf(c_203944,plain,
! [X0: $i] :
( ( cons(sK57,app(sK60,sK59)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ rearsegP(X0,cons(sK57,app(sK60,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203932,c_201785]) ).
tcf(c_203949,plain,
frontsegP(cons(sK57,app(sK59,sK59)),cons(sK57,sK59)),
inference(global_subsumption_just,[status(thm)],[c_202478,c_46479]) ).
tcf(c_203952,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_203949,c_174]) ).
tcf(c_203953,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_203949,c_63]) ).
tcf(c_203955,plain,
( frontsegP(app(sK59,sK59),sK59)
| ~ ssList(sK59)
| ~ ssItem(sK57)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_203949,c_179]) ).
tcf(c_203956,plain,
( frontsegP(app(sK59,sK59),sK59)
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203955,c_12926,c_12925]) ).
tcf(c_203959,plain,
( ( app(cons(sK57,sK59),sK11(cons(sK57,app(sK59,sK59)),cons(sK57,sK59))) = cons(sK57,app(sK59,sK59)) )
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203953,c_202549]) ).
tcf(c_203962,plain,
( ( cons(sK57,app(sK59,sK59)) = cons(sK57,sK59) )
| ~ ssList(cons(sK57,sK59))
| ~ frontsegP(cons(sK57,sK59),cons(sK57,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203952,c_202549]) ).
tcf(c_204066,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK59),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_203956,c_173]) ).
tcf(c_204067,plain,
( ( app(sK59,sK59) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK59))
| ~ frontsegP(sK59,app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_203956,c_174]) ).
tcf(c_204068,plain,
( ( app(sK59,sK11(app(sK59,sK59),sK59)) = app(sK59,sK59) )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_203956,c_63]) ).
tcf(c_204069,plain,
( ( app(sK59,sK11(app(sK59,sK59),sK59)) = app(sK59,sK59) )
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204068,c_12926]) ).
tcf(c_204072,plain,
( ( app(sK59,sK59) = sK59 )
| ~ ssList(app(sK59,sK59))
| ~ frontsegP(sK59,app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204067,c_12926]) ).
tcf(c_204076,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204066,c_12926]) ).
tcf(c_204081,plain,
frontsegP(cons(sK57,app(sK56,sK59)),cons(sK57,sK56)),
inference(global_subsumption_just,[status(thm)],[c_202815,c_47059,c_49784]) ).
tcf(c_204084,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_204081,c_174]) ).
tcf(c_204085,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_204081,c_63]) ).
tcf(c_204087,plain,
( frontsegP(app(sK56,sK59),sK56)
| ~ ssList(sK56)
| ~ ssItem(sK57)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_204081,c_179]) ).
tcf(c_204088,plain,
( frontsegP(app(sK56,sK59),sK56)
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204087,c_12924,c_12925]) ).
tcf(c_204091,plain,
( ( app(cons(sK57,sK56),sK11(cons(sK57,app(sK56,sK59)),cons(sK57,sK56))) = cons(sK57,app(sK56,sK59)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204085,c_202943]) ).
tcf(c_204094,plain,
( ( cons(sK57,app(sK56,sK59)) = cons(sK57,sK56) )
| ~ ssList(cons(sK57,sK56))
| ~ frontsegP(cons(sK57,sK56),cons(sK57,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204084,c_202943]) ).
tcf(c_204102,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK59),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_204088,c_173]) ).
tcf(c_204103,plain,
( ( app(sK56,sK59) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK59))
| ~ frontsegP(sK56,app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_204088,c_174]) ).
tcf(c_204104,plain,
( ( app(sK56,sK11(app(sK56,sK59),sK56)) = app(sK56,sK59) )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_204088,c_63]) ).
tcf(c_204105,plain,
( ( app(sK56,sK11(app(sK56,sK59),sK56)) = app(sK56,sK59) )
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204104,c_12924]) ).
tcf(c_204108,plain,
( ( app(sK56,sK59) = sK56 )
| ~ ssList(app(sK56,sK59))
| ~ frontsegP(sK56,app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204103,c_12924]) ).
tcf(c_204112,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204102,c_12924]) ).
tcf(c_204123,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_203370,c_183]) ).
tcf(c_204124,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_203370,c_184]) ).
tcf(c_204125,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_203370,c_66]) ).
tcf(c_204126,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_204123,c_202549]) ).
tcf(c_204132,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_204125,c_202549]) ).
tcf(c_204136,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_204124,c_202549]) ).
tcf(c_204147,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_203385,c_183]) ).
tcf(c_204148,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_203385,c_184]) ).
tcf(c_204149,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_203385,c_66]) ).
tcf(c_204150,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_204147,c_202943]) ).
tcf(c_204156,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_204149,c_202943]) ).
tcf(c_204160,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_204148,c_202943]) ).
tcf(c_204169,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_197765]) ).
tcf(c_204170,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_197765]) ).
tcf(c_204171,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_197765]) ).
tcf(c_204172,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_197765]) ).
tcf(c_204173,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_197765]) ).
tcf(c_204174,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_197765]) ).
tcf(c_204175,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_197765]) ).
tcf(c_204185,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_197765]) ).
tcf(c_204186,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_197765]) ).
tcf(c_204187,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_197765]) ).
tcf(c_204188,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_197765]) ).
tcf(c_204189,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_197765]) ).
tcf(c_204190,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_197765]) ).
tcf(c_204191,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_197765]) ).
tcf(c_204192,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_197765]) ).
tcf(c_204193,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_197765]) ).
tcf(c_204194,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_197765]) ).
tcf(c_204195,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_197765]) ).
tcf(c_204196,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_197765]) ).
tcf(c_204197,plain,
cons(sK57,app(nil,sK56)) = app(cons(sK57,nil),sK56),
inference(superposition,[status(thm)],[c_141,c_197765]) ).
tcf(c_204198,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_197765]) ).
tcf(c_204199,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_197765]) ).
tcf(c_204200,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_197765]) ).
tcf(c_204201,plain,
cons(sK57,app(sK60,sK56)) = app(cons(sK57,sK60),sK56),
inference(superposition,[status(thm)],[c_12927,c_197765]) ).
tcf(c_204202,plain,
cons(sK57,app(sK59,sK56)) = app(cons(sK57,sK59),sK56),
inference(superposition,[status(thm)],[c_12926,c_197765]) ).
tcf(c_204203,plain,
cons(sK57,app(sK56,sK56)) = app(cons(sK57,sK56),sK56),
inference(superposition,[status(thm)],[c_12924,c_197765]) ).
tcf(c_204204,plain,
cons(sK57,app(iPr_def_13,sK56)) = app(cons(sK57,iPr_def_13),sK56),
inference(superposition,[status(thm)],[c_172540,c_197765]) ).
tcf(c_204205,plain,
cons(sK57,app(iPr_def_11,sK56)) = app(cons(sK57,iPr_def_11),sK56),
inference(superposition,[status(thm)],[c_173202,c_197765]) ).
tcf(c_204206,plain,
cons(sK57,app(iPr_def_12,sK56)) = app(cons(sK57,iPr_def_12),sK56),
inference(superposition,[status(thm)],[c_173203,c_197765]) ).
tcf(c_204207,plain,
cons(sK57,app(iPr_def_10,sK56)) = app(cons(sK57,iPr_def_10),sK56),
inference(superposition,[status(thm)],[c_173031,c_197765]) ).
tcf(c_204208,plain,
cons(sK57,app(cons(sK57,sK60),sK56)) = app(cons(sK57,cons(sK57,sK60)),sK56),
inference(superposition,[status(thm)],[c_199078,c_197765]) ).
tcf(c_204209,plain,
( ( nil = sK60 )
| ( cons(sK57,app(tl(sK60),sK56)) = app(cons(sK57,tl(sK60)),sK56) ) ),
inference(superposition,[status(thm)],[c_175448,c_197765]) ).
tcf(c_204210,plain,
( ( nil = sK59 )
| ( cons(sK57,app(tl(sK59),sK56)) = app(cons(sK57,tl(sK59)),sK56) ) ),
inference(superposition,[status(thm)],[c_175843,c_197765]) ).
tcf(c_204211,plain,
( ( nil = sK56 )
| ( cons(sK57,app(tl(sK56),sK56)) = app(cons(sK57,tl(sK56)),sK56) ) ),
inference(superposition,[status(thm)],[c_175889,c_197765]) ).
tcf(c_204212,plain,
cons(sK57,app(tl(iPr_def_13),sK56)) = app(cons(sK57,tl(iPr_def_13)),sK56),
inference(superposition,[status(thm)],[c_182143,c_197765]) ).
tcf(c_204213,plain,
cons(sK57,app(tl(iPr_def_11),sK56)) = app(cons(sK57,tl(iPr_def_11)),sK56),
inference(superposition,[status(thm)],[c_182940,c_197765]) ).
tcf(c_204214,plain,
cons(sK57,app(tl(iPr_def_12),sK56)) = app(cons(sK57,tl(iPr_def_12)),sK56),
inference(superposition,[status(thm)],[c_184135,c_197765]) ).
tcf(c_204215,plain,
cons(sK57,app(cons(sK57,app(sK60,sK60)),sK56)) = app(cons(sK57,cons(sK57,app(sK60,sK60))),sK56),
inference(superposition,[status(thm)],[c_198436,c_197765]) ).
tcf(c_204216,plain,
cons(sK57,app(cons(sK57,app(sK59,sK60)),sK56)) = app(cons(sK57,cons(sK57,app(sK59,sK60))),sK56),
inference(superposition,[status(thm)],[c_198773,c_197765]) ).
tcf(c_204217,plain,
cons(sK57,app(cons(sK57,app(sK56,sK60)),sK56)) = app(cons(sK57,cons(sK57,app(sK56,sK60))),sK56),
inference(superposition,[status(thm)],[c_199547,c_197765]) ).
tcf(c_204218,plain,
cons(sK57,app(cons(sK57,app(sK60,sK59)),sK56)) = app(cons(sK57,cons(sK57,app(sK60,sK59))),sK56),
inference(superposition,[status(thm)],[c_201785,c_197765]) ).
tcf(c_204219,plain,
cons(sK57,app(cons(sK57,app(sK59,sK59)),sK56)) = app(cons(sK57,cons(sK57,app(sK59,sK59))),sK56),
inference(superposition,[status(thm)],[c_202549,c_197765]) ).
tcf(c_204220,plain,
cons(sK57,app(cons(sK57,app(sK56,sK59)),sK56)) = app(cons(sK57,cons(sK57,app(sK56,sK59))),sK56),
inference(superposition,[status(thm)],[c_202943,c_197765]) ).
tcf(c_204221,plain,
cons(sK57,sK56) = app(iPr_def_10,sK56),
inference(light_normalisation,[status(thm)],[c_204197,c_172880,c_195876]) ).
tcf(c_204618,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_175859,c_67]) ).
tcf(c_204624,plain,
( frontsegP(tl(sK59),nil)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(tl(sK59)) ),
inference(superposition,[status(thm)],[c_175859,c_378]) ).
tcf(c_204625,plain,
( rearsegP(tl(sK59),tl(sK59))
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(tl(sK59)) ),
inference(superposition,[status(thm)],[c_175859,c_375]) ).
tcf(c_204627,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_175859,c_225]) ).
tcf(c_204631,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_175859,c_226]) ).
tcf(c_204632,plain,
! [X0: $i] :
( frontsegP(tl(sK59),X0)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_175859,c_176]) ).
tcf(c_204634,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_175859,c_193]) ).
tcf(c_204637,plain,
( frontsegP(tl(sK59),nil)
| ( nil = sK59 )
| ~ ssList(tl(sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204624,c_141]) ).
tcf(c_204641,plain,
( rearsegP(tl(sK59),tl(sK59))
| ( nil = sK59 )
| ~ ssList(tl(sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204625,c_141]) ).
tcf(c_204645,plain,
! [X0: $i] :
( frontsegP(tl(sK59),X0)
| ( nil = sK59 )
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204632,c_141]) ).
tcf(c_204651,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_204631,c_141]) ).
tcf(c_204657,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_204627,c_141]) ).
tcf(c_204663,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_204634,c_141]) ).
tcf(c_204670,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_204618,c_141]) ).
tcf(c_204680,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_174213]) ).
tcf(c_204681,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_174213]) ).
tcf(c_204682,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_174213]) ).
tcf(c_204683,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_174213]) ).
tcf(c_204684,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_174213]) ).
tcf(c_204685,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_174213]) ).
tcf(c_204686,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_174213]) ).
tcf(c_204696,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK7,sK34(X0))) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_174213]) ).
tcf(c_204697,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK7,sK33(X0))) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_174213]) ).
tcf(c_204698,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK7,sK32(X0))) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_174213]) ).
tcf(c_204699,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK7,sK39(X0))) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_174213]) ).
tcf(c_204700,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK7,sK38(X0))) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_174213]) ).
tcf(c_204701,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK7,sK37(X0))) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_174213]) ).
tcf(c_204702,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK7,sK44(X0))) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_174213]) ).
tcf(c_204703,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK7,sK43(X0))) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_174213]) ).
tcf(c_204704,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK7,sK42(X0))) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_174213]) ).
tcf(c_204705,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( tl(cons(sK7,sK48(X0))) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_174213]) ).
tcf(c_204706,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( tl(cons(sK7,sK47(X0))) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_174213]) ).
tcf(c_204707,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_174213]) ).
tcf(c_204708,plain,
tl(cons(sK7,nil)) = nil,
inference(superposition,[status(thm)],[c_141,c_174213]) ).
tcf(c_204709,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK7,sK49(X0))) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_174213]) ).
tcf(c_204710,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK7,tl(X0))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_174213]) ).
tcf(c_204711,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK7,sK52(X0))) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_174213]) ).
tcf(c_204712,plain,
tl(cons(sK7,sK60)) = sK60,
inference(superposition,[status(thm)],[c_12927,c_174213]) ).
tcf(c_204713,plain,
tl(cons(sK7,sK59)) = sK59,
inference(superposition,[status(thm)],[c_12926,c_174213]) ).
tcf(c_204714,plain,
tl(cons(sK7,sK56)) = sK56,
inference(superposition,[status(thm)],[c_12924,c_174213]) ).
tcf(c_204715,plain,
tl(cons(sK7,iPr_def_13)) = iPr_def_13,
inference(superposition,[status(thm)],[c_172540,c_174213]) ).
tcf(c_204716,plain,
tl(cons(sK7,iPr_def_11)) = iPr_def_11,
inference(superposition,[status(thm)],[c_173202,c_174213]) ).
tcf(c_204717,plain,
tl(cons(sK7,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_173203,c_174213]) ).
tcf(c_204718,plain,
tl(cons(sK7,iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_173031,c_174213]) ).
tcf(c_204719,plain,
tl(cons(sK7,cons(sK57,sK60))) = cons(sK57,sK60),
inference(superposition,[status(thm)],[c_199078,c_174213]) ).
tcf(c_204720,plain,
( ( nil = sK60 )
| ( tl(cons(sK7,tl(sK60))) = tl(sK60) ) ),
inference(superposition,[status(thm)],[c_175448,c_174213]) ).
tcf(c_204721,plain,
( ( nil = sK59 )
| ( tl(cons(sK7,tl(sK59))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_175843,c_174213]) ).
tcf(c_204722,plain,
( ( nil = sK56 )
| ( tl(cons(sK7,tl(sK56))) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_175889,c_174213]) ).
tcf(c_204723,plain,
tl(cons(sK7,tl(iPr_def_13))) = tl(iPr_def_13),
inference(superposition,[status(thm)],[c_182143,c_174213]) ).
tcf(c_204724,plain,
tl(cons(sK7,tl(iPr_def_11))) = tl(iPr_def_11),
inference(superposition,[status(thm)],[c_182940,c_174213]) ).
tcf(c_204725,plain,
tl(cons(sK7,tl(iPr_def_12))) = tl(iPr_def_12),
inference(superposition,[status(thm)],[c_184135,c_174213]) ).
tcf(c_204726,plain,
tl(cons(sK7,cons(sK57,app(sK60,sK60)))) = cons(sK57,app(sK60,sK60)),
inference(superposition,[status(thm)],[c_198436,c_174213]) ).
tcf(c_204727,plain,
tl(cons(sK7,cons(sK57,app(sK59,sK60)))) = cons(sK57,app(sK59,sK60)),
inference(superposition,[status(thm)],[c_198773,c_174213]) ).
tcf(c_204728,plain,
tl(cons(sK7,cons(sK57,app(sK56,sK60)))) = cons(sK57,app(sK56,sK60)),
inference(superposition,[status(thm)],[c_199547,c_174213]) ).
tcf(c_204729,plain,
tl(cons(sK7,cons(sK57,app(sK60,sK59)))) = cons(sK57,app(sK60,sK59)),
inference(superposition,[status(thm)],[c_201785,c_174213]) ).
tcf(c_204730,plain,
tl(cons(sK7,cons(sK57,app(sK59,sK59)))) = cons(sK57,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_202549,c_174213]) ).
tcf(c_204731,plain,
tl(cons(sK7,cons(sK57,app(sK56,sK59)))) = cons(sK57,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_202943,c_174213]) ).
tcf(c_204904,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK60,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ~ ssList(app(app(cons(sK57,sK60),sK56),X0)) ),
inference(superposition,[status(thm)],[c_204201,c_67]) ).
tcf(c_204907,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(cons(sK57,sK60),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK60))
| ~ memberP(cons(sK57,app(sK60,sK56)),X0) ),
inference(superposition,[status(thm)],[c_204201,c_167]) ).
tcf(c_204908,plain,
( ( cons(sK57,sK60) = nil )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_204201,c_231]) ).
tcf(c_204909,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_204201,c_230]) ).
tcf(c_204910,plain,
( frontsegP(cons(sK57,app(sK60,sK56)),cons(sK57,sK60))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_204201,c_378]) ).
tcf(c_204911,plain,
( rearsegP(cons(sK57,app(sK60,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_204201,c_375]) ).
tcf(c_204912,plain,
( ssList(cons(sK57,app(sK60,sK56)))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_204201,c_153]) ).
tcf(c_204913,plain,
! [X0: $i] :
( ( cons(sK57,sK60) = X0 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK56)) != app(X0,sK56) ) ),
inference(superposition,[status(thm)],[c_204201,c_225]) ).
tcf(c_204914,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ( app(cons(sK57,sK60),X0) != cons(sK57,app(sK60,sK56)) ) ),
inference(superposition,[status(thm)],[c_204201,c_226]) ).
tcf(c_204915,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK60,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ~ frontsegP(cons(sK57,sK60),X0) ),
inference(superposition,[status(thm)],[c_204201,c_176]) ).
tcf(c_204916,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK60,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK60))
| ~ memberP(cons(sK57,sK60),X0) ),
inference(superposition,[status(thm)],[c_204201,c_165]) ).
tcf(c_204917,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK60,sK56)),X1),X0)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_204201,c_193]) ).
tcf(c_204918,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK60,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_204201,c_186]) ).
tcf(c_204919,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK60,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_204201,c_166]) ).
tcf(c_204920,plain,
( ( cons(sK57,sK60) = nil )
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_204201,c_186302]) ).
tcf(c_204921,plain,
ssList(cons(sK57,app(sK60,sK56))),
inference(forward_subsumption_resolution,[status(thm)],[c_204912,c_12924,c_199078]) ).
tcf(c_204922,plain,
rearsegP(cons(sK57,app(sK60,sK56)),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_204911,c_12924,c_199078]) ).
tcf(c_204923,plain,
frontsegP(cons(sK57,app(sK60,sK56)),cons(sK57,sK60)),
inference(forward_subsumption_resolution,[status(thm)],[c_204910,c_12924,c_199078]) ).
tcf(c_204924,plain,
cons(sK57,app(sK60,sK56)) != sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_204920,c_199088,c_199078]) ).
tcf(c_204928,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK60,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204919,c_12924,c_199078]) ).
tcf(c_204932,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK60,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204918,c_12924,c_199078]) ).
tcf(c_204936,plain,
cons(sK57,app(sK60,sK56)) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_204908,c_199088,c_12924,c_199078]) ).
tcf(c_204937,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK60,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204916,c_12924,c_199078]) ).
tcf(c_204941,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK60,sK56)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204915,c_12924,c_199078]) ).
tcf(c_204945,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK60,sK56)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204917,c_12924,c_199078]) ).
tcf(c_204950,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(cons(sK57,sK60),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK60,sK56)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204907,c_12924,c_199078]) ).
tcf(c_204955,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ( app(cons(sK57,sK60),X0) != cons(sK57,app(sK60,sK56)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204914,c_12924,c_199078]) ).
tcf(c_204959,plain,
! [X0: $i] :
( ( cons(sK57,sK60) = X0 )
| ~ ssList(X0)
| ( cons(sK57,app(sK60,sK56)) != app(X0,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204913,c_12924,c_199078]) ).
tcf(c_204963,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK60,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ~ ssList(app(cons(sK57,app(sK60,sK56)),X0)) ),
inference(light_normalisation,[status(thm)],[c_204904,c_204201]) ).
tcf(c_204964,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK60,sK56)),X0),sK56)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,app(sK60,sK56)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204963,c_12924,c_199078]) ).
tcf(c_205024,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK57,app(sK60,sK56))) = app(X0,app(X1,cons(sK57,app(sK60,sK56)))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_204921,c_228]) ).
tcf(c_205025,plain,
tl(cons(sK7,cons(sK57,app(sK60,sK56)))) = cons(sK57,app(sK60,sK56)),
inference(superposition,[status(thm)],[c_204921,c_174213]) ).
tcf(c_205026,plain,
cons(sK57,app(cons(sK57,app(sK60,sK56)),sK56)) = app(cons(sK57,cons(sK57,app(sK60,sK56))),sK56),
inference(superposition,[status(thm)],[c_204921,c_197765]) ).
tcf(c_205027,plain,
tl(cons(sK6,cons(sK57,app(sK60,sK56)))) = cons(sK57,app(sK60,sK56)),
inference(superposition,[status(thm)],[c_204921,c_174212]) ).
tcf(c_205028,plain,
cons(sK57,app(cons(sK57,app(sK60,sK56)),sK59)) = app(cons(sK57,cons(sK57,app(sK60,sK56))),sK59),
inference(superposition,[status(thm)],[c_204921,c_197764]) ).
tcf(c_205029,plain,
hd(cons(sK7,cons(sK57,app(sK60,sK56)))) = sK7,
inference(superposition,[status(thm)],[c_204921,c_174092]) ).
tcf(c_205030,plain,
hd(cons(sK6,cons(sK57,app(sK60,sK56)))) = sK6,
inference(superposition,[status(thm)],[c_204921,c_174091]) ).
tcf(c_205031,plain,
cons(sK57,app(cons(sK57,app(sK60,sK56)),sK60)) = app(cons(sK57,cons(sK57,app(sK60,sK56))),sK60),
inference(superposition,[status(thm)],[c_204921,c_197763]) ).
tcf(c_205032,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,app(sK60,sK56)))) = app(cons(sK57,X0),cons(sK57,app(sK60,sK56))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_204921,c_182224]) ).
tcf(c_205033,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK60,sK56))) = tl(app(sK56,cons(sK57,app(sK60,sK56)))) ) ),
inference(superposition,[status(thm)],[c_204921,c_181006]) ).
tcf(c_205034,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK60,sK56))) = tl(app(sK59,cons(sK57,app(sK60,sK56)))) ) ),
inference(superposition,[status(thm)],[c_204921,c_181005]) ).
tcf(c_205035,plain,
( ( nil = sK60 )
| ( app(tl(sK60),cons(sK57,app(sK60,sK56))) = tl(app(sK60,cons(sK57,app(sK60,sK56)))) ) ),
inference(superposition,[status(thm)],[c_204921,c_181004]) ).
tcf(c_205036,plain,
( duplicatefreeP(cons(sK57,app(sK60,sK56)))
| ( app(app(sK42(cons(sK57,app(sK60,sK56))),cons(sK40(cons(sK57,app(sK60,sK56))),sK43(cons(sK57,app(sK60,sK56))))),cons(sK41(cons(sK57,app(sK60,sK56))),sK44(cons(sK57,app(sK60,sK56))))) = cons(sK57,app(sK60,sK56)) ) ),
inference(superposition,[status(thm)],[c_204921,c_124]) ).
tcf(c_205037,plain,
( strictorderedP(cons(sK57,app(sK60,sK56)))
| ( app(app(sK37(cons(sK57,app(sK60,sK56))),cons(sK35(cons(sK57,app(sK60,sK56))),sK38(cons(sK57,app(sK60,sK56))))),cons(sK36(cons(sK57,app(sK60,sK56))),sK39(cons(sK57,app(sK60,sK56))))) = cons(sK57,app(sK60,sK56)) ) ),
inference(superposition,[status(thm)],[c_204921,c_116]) ).
tcf(c_205038,plain,
( totalorderedP(cons(sK57,app(sK60,sK56)))
| ( app(app(sK32(cons(sK57,app(sK60,sK56))),cons(sK30(cons(sK57,app(sK60,sK56))),sK33(cons(sK57,app(sK60,sK56))))),cons(sK31(cons(sK57,app(sK60,sK56))),sK34(cons(sK57,app(sK60,sK56))))) = cons(sK57,app(sK60,sK56)) ) ),
inference(superposition,[status(thm)],[c_204921,c_108]) ).
tcf(c_205039,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK60,sK56)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_204921,c_179266]) ).
tcf(c_205040,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK60,sK56)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_204921,c_179265]) ).
tcf(c_205041,plain,
( ( nil = sK60 )
| ( hd(app(sK60,cons(sK57,app(sK60,sK56)))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_204921,c_179264]) ).
tcf(c_205042,plain,
! [X0: $i] :
( ( cons(sK57,app(sK60,sK56)) = nil )
| ( app(tl(cons(sK57,app(sK60,sK56))),X0) = tl(app(cons(sK57,app(sK60,sK56)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_204921,c_234]) ).
tcf(c_205043,plain,
( equalelemsP(cons(sK57,app(sK60,sK56)))
| ( app(sK47(cons(sK57,app(sK60,sK56))),cons(sK45(cons(sK57,app(sK60,sK56))),cons(sK46(cons(sK57,app(sK60,sK56))),sK48(cons(sK57,app(sK60,sK56)))))) = cons(sK57,app(sK60,sK56)) ) ),
inference(superposition,[status(thm)],[c_204921,c_132]) ).
tcf(c_205044,plain,
! [X0: $i] :
( ( cons(sK57,app(sK60,sK56)) = nil )
| ( hd(app(cons(sK57,app(sK60,sK56)),X0)) = hd(cons(sK57,app(sK60,sK56))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_204921,c_233]) ).
tcf(c_205045,plain,
( ( cons(sK57,app(sK60,sK56)) = nil )
| ( cons(hd(cons(sK57,app(sK60,sK56))),tl(cons(sK57,app(sK60,sK56)))) = cons(sK57,app(sK60,sK56)) ) ),
inference(superposition,[status(thm)],[c_204921,c_224]) ).
tcf(c_205046,plain,
( ( cons(sK57,app(sK60,sK56)) = nil )
| ( cons(sK50(cons(sK57,app(sK60,sK56))),sK49(cons(sK57,app(sK60,sK56)))) = cons(sK57,app(sK60,sK56)) ) ),
inference(superposition,[status(thm)],[c_204921,c_147]) ).
tcf(c_205047,plain,
( ( cons(sK57,app(sK60,sK56)) = nil )
| ( tl(cons(sK57,app(sK60,sK56))) = sK52(cons(sK57,app(sK60,sK56))) ) ),
inference(superposition,[status(thm)],[c_204921,c_222]) ).
tcf(c_205048,plain,
( ( cons(sK57,app(sK60,sK56)) = nil )
| ( hd(cons(sK57,app(sK60,sK56))) = sK51(cons(sK57,app(sK60,sK56))) ) ),
inference(superposition,[status(thm)],[c_204921,c_220]) ).
tcf(c_205049,plain,
app(nil,cons(sK57,cons(sK57,app(sK60,sK56)))) = cons(sK57,cons(sK57,app(sK60,sK56))),
inference(superposition,[status(thm)],[c_204921,c_173594]) ).
tcf(c_205050,plain,
tl(cons(sK57,cons(sK57,app(sK60,sK56)))) = cons(sK57,app(sK60,sK56)),
inference(superposition,[status(thm)],[c_204921,c_174232]) ).
tcf(c_205051,plain,
hd(cons(sK57,cons(sK57,app(sK60,sK56)))) = sK57,
inference(superposition,[status(thm)],[c_204921,c_174111]) ).
tcf(c_205052,plain,
( ( cons(sK57,app(sK60,sK56)) = nil )
| ( app(sK49(cons(sK57,app(sK60,sK56))),nil) = sK49(cons(sK57,app(sK60,sK56))) ) ),
inference(superposition,[status(thm)],[c_204921,c_173044]) ).
tcf(c_205053,plain,
( duplicatefreeP(cons(sK57,app(sK60,sK56)))
| ( sK40(cons(sK57,app(sK60,sK56))) = sK41(cons(sK57,app(sK60,sK56))) ) ),
inference(superposition,[status(thm)],[c_204921,c_123]) ).
tcf(c_205054,plain,
app(cons(sK57,cons(sK57,app(sK60,sK56))),nil) = cons(sK57,cons(sK57,app(sK60,sK56))),
inference(superposition,[status(thm)],[c_204921,c_173094]) ).
tcf(c_205055,plain,
app(cons(sK57,app(sK60,sK56)),nil) = cons(sK57,app(sK60,sK56)),
inference(superposition,[status(thm)],[c_204921,c_232]) ).
tcf(c_205056,plain,
app(nil,cons(sK57,app(sK60,sK56))) = cons(sK57,app(sK60,sK56)),
inference(superposition,[status(thm)],[c_204921,c_155]) ).
tcf(c_205148,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK60,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK57,app(sK60,sK56))) ),
inference(superposition,[status(thm)],[c_204922,c_183]) ).
tcf(c_205149,plain,
( ( cons(sK57,app(sK60,sK56)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK60,sK56)))
| ~ rearsegP(sK56,cons(sK57,app(sK60,sK56))) ),
inference(superposition,[status(thm)],[c_204922,c_184]) ).
tcf(c_205150,plain,
( ( app(sK12(cons(sK57,app(sK60,sK56)),sK56),sK56) = cons(sK57,app(sK60,sK56)) )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK60,sK56))) ),
inference(superposition,[status(thm)],[c_204922,c_66]) ).
tcf(c_205152,plain,
app(sK12(cons(sK57,app(sK60,sK56)),sK56),sK56) = cons(sK57,app(sK60,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_205150,c_12924,c_204921]) ).
tcf(c_205153,plain,
( ( cons(sK57,app(sK60,sK56)) = sK56 )
| ~ rearsegP(sK56,cons(sK57,app(sK60,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205149,c_12924,c_204921]) ).
tcf(c_205156,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK60,sK56)),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ~ frontsegP(cons(sK57,sK60),X0)
| ~ ssList(cons(sK57,app(sK60,sK56))) ),
inference(superposition,[status(thm)],[c_204923,c_173]) ).
tcf(c_205157,plain,
( ( cons(sK57,app(sK60,sK56)) = cons(sK57,sK60) )
| ~ ssList(cons(sK57,sK60))
| ~ ssList(cons(sK57,app(sK60,sK56)))
| ~ frontsegP(cons(sK57,sK60),cons(sK57,app(sK60,sK56))) ),
inference(superposition,[status(thm)],[c_204923,c_174]) ).
tcf(c_205158,plain,
( ( app(cons(sK57,sK60),sK11(cons(sK57,app(sK60,sK56)),cons(sK57,sK60))) = cons(sK57,app(sK60,sK56)) )
| ~ ssList(cons(sK57,sK60))
| ~ ssList(cons(sK57,app(sK60,sK56))) ),
inference(superposition,[status(thm)],[c_204923,c_63]) ).
tcf(c_205160,plain,
( frontsegP(app(sK60,sK56),sK60)
| ~ ssList(sK60)
| ~ ssItem(sK57)
| ~ ssList(app(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_204923,c_179]) ).
tcf(c_205161,plain,
( frontsegP(app(sK60,sK56),sK60)
| ~ ssList(app(sK60,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205160,c_12927,c_12925]) ).
tcf(c_205165,plain,
app(cons(sK57,sK60),sK11(cons(sK57,app(sK60,sK56)),cons(sK57,sK60))) = cons(sK57,app(sK60,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_205158,c_199078,c_204921]) ).
tcf(c_205166,plain,
( ( cons(sK57,app(sK60,sK56)) = cons(sK57,sK60) )
| ~ frontsegP(cons(sK57,sK60),cons(sK57,app(sK60,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205157,c_199078,c_204921]) ).
tcf(c_205173,plain,
! [X0: $i] :
( frontsegP(app(sK60,sK56),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ frontsegP(sK60,X0)
| ~ ssList(app(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_205161,c_173]) ).
tcf(c_205174,plain,
( ( app(sK60,sK56) = sK60 )
| ~ ssList(sK60)
| ~ ssList(app(sK60,sK56))
| ~ frontsegP(sK60,app(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_205161,c_174]) ).
tcf(c_205175,plain,
( ( app(sK60,sK11(app(sK60,sK56),sK60)) = app(sK60,sK56) )
| ~ ssList(sK60)
| ~ ssList(app(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_205161,c_63]) ).
tcf(c_205176,plain,
( ( app(sK60,sK11(app(sK60,sK56),sK60)) = app(sK60,sK56) )
| ~ ssList(app(sK60,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205175,c_12927]) ).
tcf(c_205179,plain,
( ( app(sK60,sK56) = sK60 )
| ~ ssList(app(sK60,sK56))
| ~ frontsegP(sK60,app(sK60,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205174,c_12927]) ).
tcf(c_205183,plain,
! [X0: $i] :
( frontsegP(app(sK60,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(sK60,X0)
| ~ ssList(app(sK60,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205173,c_12927]) ).
tcf(c_205188,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_204202,c_67]) ).
tcf(c_205191,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_204202,c_167]) ).
tcf(c_205192,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_204202,c_231]) ).
tcf(c_205193,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_204202,c_230]) ).
tcf(c_205194,plain,
( frontsegP(cons(sK57,app(sK59,sK56)),cons(sK57,sK59))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_204202,c_378]) ).
tcf(c_205195,plain,
( rearsegP(cons(sK57,app(sK59,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_204202,c_375]) ).
tcf(c_205196,plain,
( ssList(cons(sK57,app(sK59,sK56)))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_204202,c_153]) ).
tcf(c_205197,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_204202,c_225]) ).
tcf(c_205198,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_204202,c_226]) ).
tcf(c_205199,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_204202,c_176]) ).
tcf(c_205200,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_204202,c_165]) ).
tcf(c_205201,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_204202,c_193]) ).
tcf(c_205202,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_204202,c_186]) ).
tcf(c_205203,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_204202,c_166]) ).
tcf(c_205204,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_204202,c_186302]) ).
tcf(c_205205,plain,
( ssList(cons(sK57,app(sK59,sK56)))
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205196,c_12924]) ).
tcf(c_205208,plain,
( rearsegP(cons(sK57,app(sK59,sK56)),sK56)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205195,c_12924]) ).
tcf(c_205211,plain,
( frontsegP(cons(sK57,app(sK59,sK56)),cons(sK57,sK59))
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205194,c_12924]) ).
tcf(c_205217,plain,
( ( nil = sK56 )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205193,c_12924]) ).
tcf(c_205221,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_205203,c_12924]) ).
tcf(c_205226,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_205202,c_12924]) ).
tcf(c_205231,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205192,c_12924]) ).
tcf(c_205235,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_205200,c_12924]) ).
tcf(c_205240,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_205199,c_12924]) ).
tcf(c_205245,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_205201,c_12924]) ).
tcf(c_205251,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_205191,c_12924]) ).
tcf(c_205257,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_205198,c_12924]) ).
tcf(c_205262,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_205197,c_12924]) ).
tcf(c_205267,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_205188,c_204202]) ).
tcf(c_205268,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_205267,c_12924]) ).
tcf(c_205349,plain,
ssList(cons(sK57,app(sK59,sK56))),
inference(global_subsumption_just,[status(thm)],[c_205205,c_50583]) ).
tcf(c_205351,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_205349,c_228]) ).
tcf(c_205352,plain,
tl(cons(sK7,cons(sK57,app(sK59,sK56)))) = cons(sK57,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_205349,c_174213]) ).
tcf(c_205353,plain,
cons(sK57,app(cons(sK57,app(sK59,sK56)),sK56)) = app(cons(sK57,cons(sK57,app(sK59,sK56))),sK56),
inference(superposition,[status(thm)],[c_205349,c_197765]) ).
tcf(c_205354,plain,
tl(cons(sK6,cons(sK57,app(sK59,sK56)))) = cons(sK57,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_205349,c_174212]) ).
tcf(c_205355,plain,
cons(sK57,app(cons(sK57,app(sK59,sK56)),sK59)) = app(cons(sK57,cons(sK57,app(sK59,sK56))),sK59),
inference(superposition,[status(thm)],[c_205349,c_197764]) ).
tcf(c_205356,plain,
hd(cons(sK7,cons(sK57,app(sK59,sK56)))) = sK7,
inference(superposition,[status(thm)],[c_205349,c_174092]) ).
tcf(c_205357,plain,
hd(cons(sK6,cons(sK57,app(sK59,sK56)))) = sK6,
inference(superposition,[status(thm)],[c_205349,c_174091]) ).
tcf(c_205358,plain,
cons(sK57,app(cons(sK57,app(sK59,sK56)),sK60)) = app(cons(sK57,cons(sK57,app(sK59,sK56))),sK60),
inference(superposition,[status(thm)],[c_205349,c_197763]) ).
tcf(c_205359,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_205349,c_182224]) ).
tcf(c_205360,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK59,sK56))) = tl(app(sK56,cons(sK57,app(sK59,sK56)))) ) ),
inference(superposition,[status(thm)],[c_205349,c_181006]) ).
tcf(c_205361,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK59,sK56))) = tl(app(sK59,cons(sK57,app(sK59,sK56)))) ) ),
inference(superposition,[status(thm)],[c_205349,c_181005]) ).
tcf(c_205362,plain,
( ( nil = sK60 )
| ( app(tl(sK60),cons(sK57,app(sK59,sK56))) = tl(app(sK60,cons(sK57,app(sK59,sK56)))) ) ),
inference(superposition,[status(thm)],[c_205349,c_181004]) ).
tcf(c_205363,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_205349,c_124]) ).
tcf(c_205364,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_205349,c_116]) ).
tcf(c_205365,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_205349,c_108]) ).
tcf(c_205366,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK59,sK56)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_205349,c_179266]) ).
tcf(c_205367,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK59,sK56)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_205349,c_179265]) ).
tcf(c_205368,plain,
( ( nil = sK60 )
| ( hd(app(sK60,cons(sK57,app(sK59,sK56)))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_205349,c_179264]) ).
tcf(c_205369,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_205349,c_234]) ).
tcf(c_205370,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_205349,c_132]) ).
tcf(c_205371,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_205349,c_233]) ).
tcf(c_205372,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_205349,c_224]) ).
tcf(c_205373,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_205349,c_147]) ).
tcf(c_205374,plain,
( ( cons(sK57,app(sK59,sK56)) = nil )
| ( tl(cons(sK57,app(sK59,sK56))) = sK52(cons(sK57,app(sK59,sK56))) ) ),
inference(superposition,[status(thm)],[c_205349,c_222]) ).
tcf(c_205375,plain,
( ( cons(sK57,app(sK59,sK56)) = nil )
| ( hd(cons(sK57,app(sK59,sK56))) = sK51(cons(sK57,app(sK59,sK56))) ) ),
inference(superposition,[status(thm)],[c_205349,c_220]) ).
tcf(c_205376,plain,
app(nil,cons(sK57,cons(sK57,app(sK59,sK56)))) = cons(sK57,cons(sK57,app(sK59,sK56))),
inference(superposition,[status(thm)],[c_205349,c_173594]) ).
tcf(c_205377,plain,
tl(cons(sK57,cons(sK57,app(sK59,sK56)))) = cons(sK57,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_205349,c_174232]) ).
tcf(c_205378,plain,
hd(cons(sK57,cons(sK57,app(sK59,sK56)))) = sK57,
inference(superposition,[status(thm)],[c_205349,c_174111]) ).
tcf(c_205379,plain,
( ( cons(sK57,app(sK59,sK56)) = nil )
| ( app(sK49(cons(sK57,app(sK59,sK56))),nil) = sK49(cons(sK57,app(sK59,sK56))) ) ),
inference(superposition,[status(thm)],[c_205349,c_173044]) ).
tcf(c_205380,plain,
( duplicatefreeP(cons(sK57,app(sK59,sK56)))
| ( sK40(cons(sK57,app(sK59,sK56))) = sK41(cons(sK57,app(sK59,sK56))) ) ),
inference(superposition,[status(thm)],[c_205349,c_123]) ).
tcf(c_205381,plain,
app(cons(sK57,cons(sK57,app(sK59,sK56))),nil) = cons(sK57,cons(sK57,app(sK59,sK56))),
inference(superposition,[status(thm)],[c_205349,c_173094]) ).
tcf(c_205382,plain,
app(cons(sK57,app(sK59,sK56)),nil) = cons(sK57,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_205349,c_232]) ).
tcf(c_205383,plain,
app(nil,cons(sK57,app(sK59,sK56))) = cons(sK57,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_205349,c_155]) ).
tcf(c_205493,plain,
( ssList(tl(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(tl(sK56)) ),
inference(superposition,[status(thm)],[c_175896,c_221]) ).
tcf(c_205576,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,tl(iPr_def_13)) = nil )
| ( cons(sK6,tl(iPr_def_13)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,tl(iPr_def_13)))
| ( hd(X0) != sK6 )
| ( tl(cons(sK6,tl(iPr_def_13))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_199885,c_223]) ).
tcf(c_205577,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK6,tl(iPr_def_13))))
| ( cons(sK6,tl(iPr_def_13)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK6)
| ~ strictorderedP(cons(sK6,tl(iPr_def_13)))
| ~ ssList(cons(sK6,tl(iPr_def_13))) ),
inference(superposition,[status(thm)],[c_199885,c_212]) ).
tcf(c_205578,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK6,tl(iPr_def_13))))
| ( cons(sK6,tl(iPr_def_13)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK6)
| ~ totalorderedP(cons(sK6,tl(iPr_def_13)))
| ~ ssList(cons(sK6,tl(iPr_def_13))) ),
inference(superposition,[status(thm)],[c_199885,c_206]) ).
tcf(c_205591,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,tl(iPr_def_13)) = nil )
| ( cons(sK6,tl(iPr_def_13)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,tl(iPr_def_13)))
| ( tl(X0) != tl(iPr_def_13) )
| ( hd(X0) != sK6 ) ),
inference(light_normalisation,[status(thm)],[c_205576,c_203582]) ).
tcf(c_205613,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,tl(iPr_def_11)) = nil )
| ( cons(sK6,tl(iPr_def_11)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,tl(iPr_def_11)))
| ( hd(X0) != sK6 )
| ( tl(cons(sK6,tl(iPr_def_11))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_199886,c_223]) ).
tcf(c_205614,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK6,tl(iPr_def_11))))
| ( cons(sK6,tl(iPr_def_11)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK6)
| ~ strictorderedP(cons(sK6,tl(iPr_def_11)))
| ~ ssList(cons(sK6,tl(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_199886,c_212]) ).
tcf(c_205615,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK6,tl(iPr_def_11))))
| ( cons(sK6,tl(iPr_def_11)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK6)
| ~ totalorderedP(cons(sK6,tl(iPr_def_11)))
| ~ ssList(cons(sK6,tl(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_199886,c_206]) ).
tcf(c_205628,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,tl(iPr_def_11)) = nil )
| ( cons(sK6,tl(iPr_def_11)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,tl(iPr_def_11)))
| ( tl(X0) != tl(iPr_def_11) )
| ( hd(X0) != sK6 ) ),
inference(light_normalisation,[status(thm)],[c_205613,c_203583]) ).
tcf(c_205739,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_204203,c_67]) ).
tcf(c_205742,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_204203,c_167]) ).
tcf(c_205743,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_204203,c_231]) ).
tcf(c_205744,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_204203,c_230]) ).
tcf(c_205745,plain,
( frontsegP(cons(sK57,app(sK56,sK56)),cons(sK57,sK56))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_204203,c_378]) ).
tcf(c_205746,plain,
( rearsegP(cons(sK57,app(sK56,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_204203,c_375]) ).
tcf(c_205747,plain,
( ssList(cons(sK57,app(sK56,sK56)))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_204203,c_153]) ).
tcf(c_205748,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_204203,c_225]) ).
tcf(c_205749,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_204203,c_226]) ).
tcf(c_205750,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_204203,c_176]) ).
tcf(c_205751,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_204203,c_165]) ).
tcf(c_205752,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_204203,c_193]) ).
tcf(c_205753,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_204203,c_186]) ).
tcf(c_205754,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_204203,c_166]) ).
tcf(c_205755,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_204203,c_186302]) ).
tcf(c_205756,plain,
( ssList(cons(sK57,app(sK56,sK56)))
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205747,c_12924]) ).
tcf(c_205759,plain,
( rearsegP(cons(sK57,app(sK56,sK56)),sK56)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205746,c_12924]) ).
tcf(c_205762,plain,
( frontsegP(cons(sK57,app(sK56,sK56)),cons(sK57,sK56))
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205745,c_12924]) ).
tcf(c_205768,plain,
( ( nil = sK56 )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205744,c_12924]) ).
tcf(c_205772,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_205754,c_12924]) ).
tcf(c_205777,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_205753,c_12924]) ).
tcf(c_205782,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205743,c_12924]) ).
tcf(c_205786,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_205751,c_12924]) ).
tcf(c_205791,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_205750,c_12924]) ).
tcf(c_205796,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_205752,c_12924]) ).
tcf(c_205802,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_205742,c_12924]) ).
tcf(c_205808,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_205749,c_12924]) ).
tcf(c_205813,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_205748,c_12924]) ).
tcf(c_205818,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_205739,c_204203]) ).
tcf(c_205819,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_205818,c_12924]) ).
tcf(c_205833,plain,
ssList(cons(sK57,app(sK56,sK56))),
inference(global_subsumption_just,[status(thm)],[c_205756,c_50946]) ).
tcf(c_205835,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_205833,c_228]) ).
tcf(c_205836,plain,
tl(cons(sK7,cons(sK57,app(sK56,sK56)))) = cons(sK57,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_205833,c_174213]) ).
tcf(c_205837,plain,
cons(sK57,app(cons(sK57,app(sK56,sK56)),sK56)) = app(cons(sK57,cons(sK57,app(sK56,sK56))),sK56),
inference(superposition,[status(thm)],[c_205833,c_197765]) ).
tcf(c_205838,plain,
tl(cons(sK6,cons(sK57,app(sK56,sK56)))) = cons(sK57,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_205833,c_174212]) ).
tcf(c_205839,plain,
cons(sK57,app(cons(sK57,app(sK56,sK56)),sK59)) = app(cons(sK57,cons(sK57,app(sK56,sK56))),sK59),
inference(superposition,[status(thm)],[c_205833,c_197764]) ).
tcf(c_205840,plain,
hd(cons(sK7,cons(sK57,app(sK56,sK56)))) = sK7,
inference(superposition,[status(thm)],[c_205833,c_174092]) ).
tcf(c_205841,plain,
hd(cons(sK6,cons(sK57,app(sK56,sK56)))) = sK6,
inference(superposition,[status(thm)],[c_205833,c_174091]) ).
tcf(c_205842,plain,
cons(sK57,app(cons(sK57,app(sK56,sK56)),sK60)) = app(cons(sK57,cons(sK57,app(sK56,sK56))),sK60),
inference(superposition,[status(thm)],[c_205833,c_197763]) ).
tcf(c_205843,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_205833,c_182224]) ).
tcf(c_205844,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK56,sK56))) = tl(app(sK56,cons(sK57,app(sK56,sK56)))) ) ),
inference(superposition,[status(thm)],[c_205833,c_181006]) ).
tcf(c_205845,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK56,sK56))) = tl(app(sK59,cons(sK57,app(sK56,sK56)))) ) ),
inference(superposition,[status(thm)],[c_205833,c_181005]) ).
tcf(c_205846,plain,
( ( nil = sK60 )
| ( app(tl(sK60),cons(sK57,app(sK56,sK56))) = tl(app(sK60,cons(sK57,app(sK56,sK56)))) ) ),
inference(superposition,[status(thm)],[c_205833,c_181004]) ).
tcf(c_205847,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_205833,c_124]) ).
tcf(c_205848,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_205833,c_116]) ).
tcf(c_205849,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_205833,c_108]) ).
tcf(c_205850,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK56,sK56)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_205833,c_179266]) ).
tcf(c_205851,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK56,sK56)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_205833,c_179265]) ).
tcf(c_205852,plain,
( ( nil = sK60 )
| ( hd(app(sK60,cons(sK57,app(sK56,sK56)))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_205833,c_179264]) ).
tcf(c_205853,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_205833,c_234]) ).
tcf(c_205854,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_205833,c_132]) ).
tcf(c_205855,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_205833,c_233]) ).
tcf(c_205856,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_205833,c_224]) ).
tcf(c_205857,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_205833,c_147]) ).
tcf(c_205858,plain,
( ( cons(sK57,app(sK56,sK56)) = nil )
| ( tl(cons(sK57,app(sK56,sK56))) = sK52(cons(sK57,app(sK56,sK56))) ) ),
inference(superposition,[status(thm)],[c_205833,c_222]) ).
tcf(c_205859,plain,
( ( cons(sK57,app(sK56,sK56)) = nil )
| ( hd(cons(sK57,app(sK56,sK56))) = sK51(cons(sK57,app(sK56,sK56))) ) ),
inference(superposition,[status(thm)],[c_205833,c_220]) ).
tcf(c_205860,plain,
app(nil,cons(sK57,cons(sK57,app(sK56,sK56)))) = cons(sK57,cons(sK57,app(sK56,sK56))),
inference(superposition,[status(thm)],[c_205833,c_173594]) ).
tcf(c_205861,plain,
tl(cons(sK57,cons(sK57,app(sK56,sK56)))) = cons(sK57,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_205833,c_174232]) ).
tcf(c_205862,plain,
hd(cons(sK57,cons(sK57,app(sK56,sK56)))) = sK57,
inference(superposition,[status(thm)],[c_205833,c_174111]) ).
tcf(c_205863,plain,
( ( cons(sK57,app(sK56,sK56)) = nil )
| ( app(sK49(cons(sK57,app(sK56,sK56))),nil) = sK49(cons(sK57,app(sK56,sK56))) ) ),
inference(superposition,[status(thm)],[c_205833,c_173044]) ).
tcf(c_205864,plain,
( duplicatefreeP(cons(sK57,app(sK56,sK56)))
| ( sK40(cons(sK57,app(sK56,sK56))) = sK41(cons(sK57,app(sK56,sK56))) ) ),
inference(superposition,[status(thm)],[c_205833,c_123]) ).
tcf(c_205865,plain,
app(cons(sK57,cons(sK57,app(sK56,sK56))),nil) = cons(sK57,cons(sK57,app(sK56,sK56))),
inference(superposition,[status(thm)],[c_205833,c_173094]) ).
tcf(c_205866,plain,
app(cons(sK57,app(sK56,sK56)),nil) = cons(sK57,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_205833,c_232]) ).
tcf(c_205867,plain,
app(nil,cons(sK57,app(sK56,sK56))) = cons(sK57,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_205833,c_155]) ).
tcf(c_206052,plain,
rearsegP(cons(sK57,app(sK59,sK56)),sK56),
inference(global_subsumption_just,[status(thm)],[c_205208,c_50584]) ).
tcf(c_206054,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_206052,c_183]) ).
tcf(c_206055,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_206052,c_184]) ).
tcf(c_206056,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_206052,c_66]) ).
tcf(c_206057,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206054,c_12924,c_205349]) ).
tcf(c_206061,plain,
app(sK12(cons(sK57,app(sK59,sK56)),sK56),sK56) = cons(sK57,app(sK59,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_206056,c_12924,c_205349]) ).
tcf(c_206062,plain,
( ( cons(sK57,app(sK59,sK56)) = sK56 )
| ~ rearsegP(sK56,cons(sK57,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206055,c_12924,c_205349]) ).
tcf(c_206065,plain,
rearsegP(cons(sK57,app(sK56,sK56)),sK56),
inference(global_subsumption_just,[status(thm)],[c_205759,c_50947]) ).
tcf(c_206067,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_206065,c_183]) ).
tcf(c_206068,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_206065,c_184]) ).
tcf(c_206069,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_206065,c_66]) ).
tcf(c_206070,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206067,c_12924,c_205833]) ).
tcf(c_206074,plain,
app(sK12(cons(sK57,app(sK56,sK56)),sK56),sK56) = cons(sK57,app(sK56,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_206069,c_12924,c_205833]) ).
tcf(c_206075,plain,
( ( cons(sK57,app(sK56,sK56)) = sK56 )
| ~ rearsegP(sK56,cons(sK57,app(sK56,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206068,c_12924,c_205833]) ).
tcf(c_206157,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK60,sK56)),X0),cons(X0,sK9(cons(sK57,app(sK60,sK56)),X0))) = cons(sK57,app(sK60,sK56)) )
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(cons(sK57,app(sK60,sK56))) ),
inference(superposition,[status(thm)],[c_204928,c_57]) ).
tcf(c_206158,plain,
! [X0: $i] :
( memberP(app(sK60,sK56),X0)
| ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(app(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_204928,c_170]) ).
tcf(c_206159,plain,
! [X0: $i] :
( memberP(app(sK60,sK56),X0)
| ( X0 = sK57 )
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(app(sK60,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206158,c_12925]) ).
tcf(c_206165,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK60,sK56)),X0),cons(X0,sK9(cons(sK57,app(sK60,sK56)),X0))) = cons(sK57,app(sK60,sK56)) )
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206157,c_204921]) ).
tcf(c_206175,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,app(sK60,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(cons(sK57,app(sK60,sK56))) ),
inference(superposition,[status(thm)],[c_204932,c_183]) ).
tcf(c_206176,plain,
! [X0: $i] :
( ( cons(sK57,app(sK60,sK56)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK57,app(sK60,sK56)))
| ~ rearsegP(X0,cons(sK57,app(sK60,sK56))) ),
inference(superposition,[status(thm)],[c_204932,c_184]) ).
tcf(c_206177,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,app(sK60,sK56)),X0),X0) = cons(sK57,app(sK60,sK56)) )
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK57,app(sK60,sK56))) ),
inference(superposition,[status(thm)],[c_204932,c_66]) ).
tcf(c_206178,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,app(sK60,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ rearsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206175,c_204921]) ).
tcf(c_206184,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,app(sK60,sK56)),X0),X0) = cons(sK57,app(sK60,sK56)) )
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206177,c_204921]) ).
tcf(c_206188,plain,
! [X0: $i] :
( ( cons(sK57,app(sK60,sK56)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ rearsegP(X0,cons(sK57,app(sK60,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206176,c_204921]) ).
tcf(c_206267,plain,
frontsegP(cons(sK57,app(sK59,sK56)),cons(sK57,sK59)),
inference(global_subsumption_just,[status(thm)],[c_205211,c_50585]) ).
tcf(c_206270,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_206267,c_174]) ).
tcf(c_206271,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_206267,c_63]) ).
tcf(c_206273,plain,
( frontsegP(app(sK59,sK56),sK59)
| ~ ssList(sK59)
| ~ ssItem(sK57)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_206267,c_179]) ).
tcf(c_206274,plain,
( frontsegP(app(sK59,sK56),sK59)
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206273,c_12926,c_12925]) ).
tcf(c_206277,plain,
( ( app(cons(sK57,sK59),sK11(cons(sK57,app(sK59,sK56)),cons(sK57,sK59))) = cons(sK57,app(sK59,sK56)) )
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206271,c_205349]) ).
tcf(c_206280,plain,
( ( cons(sK57,app(sK59,sK56)) = cons(sK57,sK59) )
| ~ ssList(cons(sK57,sK59))
| ~ frontsegP(cons(sK57,sK59),cons(sK57,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206270,c_205349]) ).
tcf(c_206288,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK56),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_206274,c_173]) ).
tcf(c_206289,plain,
( ( app(sK59,sK56) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK56))
| ~ frontsegP(sK59,app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_206274,c_174]) ).
tcf(c_206290,plain,
( ( app(sK59,sK11(app(sK59,sK56),sK59)) = app(sK59,sK56) )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_206274,c_63]) ).
tcf(c_206291,plain,
( ( app(sK59,sK11(app(sK59,sK56),sK59)) = app(sK59,sK56) )
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206290,c_12926]) ).
tcf(c_206294,plain,
( ( app(sK59,sK56) = sK59 )
| ~ ssList(app(sK59,sK56))
| ~ frontsegP(sK59,app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206289,c_12926]) ).
tcf(c_206298,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206288,c_12926]) ).
tcf(c_206309,plain,
( ssItem(hd(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(tl(sK56)) ),
inference(superposition,[status(thm)],[c_175897,c_219]) ).
tcf(c_206314,plain,
frontsegP(cons(sK57,sK60),nil),
inference(global_subsumption_just,[status(thm)],[c_174830,c_18138,c_44373]) ).
tcf(c_206317,plain,
( ( cons(sK57,sK60) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK60))
| ~ frontsegP(nil,cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_206314,c_174]) ).
tcf(c_206318,plain,
( ( app(nil,sK11(cons(sK57,sK60),nil)) = cons(sK57,sK60) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_206314,c_63]) ).
tcf(c_206319,plain,
app(nil,sK11(cons(sK57,sK60),nil)) = cons(sK57,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_206318,c_141,c_199078]) ).
tcf(c_206320,plain,
~ frontsegP(nil,cons(sK57,sK60)),
inference(forward_subsumption_resolution,[status(thm)],[c_206317,c_199088,c_141,c_199078]) ).
tcf(c_206321,plain,
frontsegP(cons(sK57,sK59),nil),
inference(global_subsumption_just,[status(thm)],[c_174844,c_18156,c_45941]) ).
tcf(c_206324,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59))
| ~ frontsegP(nil,cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_206321,c_174]) ).
tcf(c_206325,plain,
( ( app(nil,sK11(cons(sK57,sK59),nil)) = cons(sK57,sK59) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_206321,c_63]) ).
tcf(c_206326,plain,
( ( app(nil,sK11(cons(sK57,sK59),nil)) = cons(sK57,sK59) )
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206325,c_141]) ).
tcf(c_206329,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(cons(sK57,sK59))
| ~ frontsegP(nil,cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206324,c_141]) ).
tcf(c_206333,plain,
frontsegP(cons(sK57,sK56),nil),
inference(global_subsumption_just,[status(thm)],[c_174858,c_18176,c_49784]) ).
tcf(c_206336,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56))
| ~ frontsegP(nil,cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_206333,c_174]) ).
tcf(c_206337,plain,
( ( app(nil,sK11(cons(sK57,sK56),nil)) = cons(sK57,sK56) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_206333,c_63]) ).
tcf(c_206338,plain,
( ( app(nil,sK11(cons(sK57,sK56),nil)) = cons(sK57,sK56) )
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206337,c_141]) ).
tcf(c_206341,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(cons(sK57,sK56))
| ~ frontsegP(nil,cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206336,c_141]) ).
tcf(c_206347,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_199887,c_223]) ).
tcf(c_206348,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_199887,c_212]) ).
tcf(c_206349,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_199887,c_206]) ).
tcf(c_206362,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_206347,c_203584]) ).
tcf(c_206372,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,tl(iPr_def_13)) = nil )
| ( cons(sK7,tl(iPr_def_13)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,tl(iPr_def_13)))
| ( hd(X0) != sK7 )
| ( tl(cons(sK7,tl(iPr_def_13))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_200890,c_223]) ).
tcf(c_206373,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK7,tl(iPr_def_13))))
| ( cons(sK7,tl(iPr_def_13)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK7)
| ~ strictorderedP(cons(sK7,tl(iPr_def_13)))
| ~ ssList(cons(sK7,tl(iPr_def_13))) ),
inference(superposition,[status(thm)],[c_200890,c_212]) ).
tcf(c_206374,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK7,tl(iPr_def_13))))
| ( cons(sK7,tl(iPr_def_13)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK7)
| ~ totalorderedP(cons(sK7,tl(iPr_def_13)))
| ~ ssList(cons(sK7,tl(iPr_def_13))) ),
inference(superposition,[status(thm)],[c_200890,c_206]) ).
tcf(c_206387,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,tl(iPr_def_13)) = nil )
| ( cons(sK7,tl(iPr_def_13)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,tl(iPr_def_13)))
| ( tl(X0) != tl(iPr_def_13) )
| ( hd(X0) != sK7 ) ),
inference(light_normalisation,[status(thm)],[c_206372,c_204723]) ).
tcf(c_206397,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,tl(iPr_def_11)) = nil )
| ( cons(sK7,tl(iPr_def_11)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,tl(iPr_def_11)))
| ( hd(X0) != sK7 )
| ( tl(cons(sK7,tl(iPr_def_11))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_200891,c_223]) ).
tcf(c_206398,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK7,tl(iPr_def_11))))
| ( cons(sK7,tl(iPr_def_11)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK7)
| ~ strictorderedP(cons(sK7,tl(iPr_def_11)))
| ~ ssList(cons(sK7,tl(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_200891,c_212]) ).
tcf(c_206399,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK7,tl(iPr_def_11))))
| ( cons(sK7,tl(iPr_def_11)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK7)
| ~ totalorderedP(cons(sK7,tl(iPr_def_11)))
| ~ ssList(cons(sK7,tl(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_200891,c_206]) ).
tcf(c_206412,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,tl(iPr_def_11)) = nil )
| ( cons(sK7,tl(iPr_def_11)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,tl(iPr_def_11)))
| ( tl(X0) != tl(iPr_def_11) )
| ( hd(X0) != sK7 ) ),
inference(light_normalisation,[status(thm)],[c_206397,c_204724]) ).
tcf(c_206562,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_200892,c_223]) ).
tcf(c_206563,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_200892,c_212]) ).
tcf(c_206564,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_200892,c_206]) ).
tcf(c_206577,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_206562,c_204725]) ).
tcf(c_206585,plain,
frontsegP(cons(sK57,app(sK56,sK56)),cons(sK57,sK56)),
inference(global_subsumption_just,[status(thm)],[c_205762,c_50948]) ).
tcf(c_206588,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_206585,c_174]) ).
tcf(c_206589,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_206585,c_63]) ).
tcf(c_206591,plain,
( frontsegP(app(sK56,sK56),sK56)
| ~ ssList(sK56)
| ~ ssItem(sK57)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_206585,c_179]) ).
tcf(c_206592,plain,
( frontsegP(app(sK56,sK56),sK56)
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206591,c_12924,c_12925]) ).
tcf(c_206595,plain,
( ( app(cons(sK57,sK56),sK11(cons(sK57,app(sK56,sK56)),cons(sK57,sK56))) = cons(sK57,app(sK56,sK56)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206589,c_205833]) ).
tcf(c_206598,plain,
( ( cons(sK57,app(sK56,sK56)) = cons(sK57,sK56) )
| ~ ssList(cons(sK57,sK56))
| ~ frontsegP(cons(sK57,sK56),cons(sK57,app(sK56,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206588,c_205833]) ).
tcf(c_206606,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK56),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_206592,c_173]) ).
tcf(c_206607,plain,
( ( app(sK56,sK56) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK56))
| ~ frontsegP(sK56,app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_206592,c_174]) ).
tcf(c_206608,plain,
( ( app(sK56,sK11(app(sK56,sK56),sK56)) = app(sK56,sK56) )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_206592,c_63]) ).
tcf(c_206609,plain,
( ( app(sK56,sK11(app(sK56,sK56),sK56)) = app(sK56,sK56) )
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206608,c_12924]) ).
tcf(c_206612,plain,
( ( app(sK56,sK56) = sK56 )
| ~ ssList(app(sK56,sK56))
| ~ frontsegP(sK56,app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206607,c_12924]) ).
tcf(c_206616,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206606,c_12924]) ).
tcf(c_206627,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_206057,c_183]) ).
tcf(c_206628,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_206057,c_184]) ).
tcf(c_206629,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_206057,c_66]) ).
tcf(c_206630,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_206627,c_205349]) ).
tcf(c_206636,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_206629,c_205349]) ).
tcf(c_206640,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_206628,c_205349]) ).
tcf(c_206651,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_206070,c_183]) ).
tcf(c_206652,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_206070,c_184]) ).
tcf(c_206653,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_206070,c_66]) ).
tcf(c_206654,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_206651,c_205833]) ).
tcf(c_206660,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_206653,c_205833]) ).
tcf(c_206664,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_206652,c_205833]) ).
tcf(c_206688,plain,
( ( nil = sK60 )
| ~ ssList(nil)
| ( cons(sK57,sK60) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_173058,c_199110]) ).
tcf(c_206689,plain,
( ( sK11(iPr_def_10,iPr_def_10) = sK60 )
| ~ ssList(sK11(iPr_def_10,iPr_def_10))
| ( cons(sK57,sK60) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_177492,c_199110]) ).
tcf(c_206691,plain,
( ( nil = sK60 )
| ( cons(sK57,sK60) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206688,c_141]) ).
tcf(c_206703,plain,
( ( iPr_def_10 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ( cons(sK57,sK60) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_12920,c_199114]) ).
tcf(c_206705,plain,
( ( sK12(iPr_def_13,sK60) = iPr_def_10 )
| ~ ssList(sK12(iPr_def_13,sK60))
| ( cons(sK57,sK60) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_177563,c_199114]) ).
tcf(c_206706,plain,
( ( cons(sK57,sK60) = iPr_def_10 )
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK60)) != cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_198075,c_199114]) ).
tcf(c_206707,plain,
( ( cons(sK57,sK59) = iPr_def_10 )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK60)) != cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_198076,c_199114]) ).
tcf(c_206708,plain,
( ( cons(sK57,sK56) = iPr_def_10 )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK60)) != cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_198077,c_199114]) ).
tcf(c_206710,plain,
( ( sK12(cons(sK57,sK60),sK60) = iPr_def_10 )
| ~ ssList(sK12(cons(sK57,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_199444,c_199114]) ).
tcf(c_206723,plain,
( ( cons(sK57,sK60) = iPr_def_10 )
| ( cons(sK57,app(sK60,sK60)) != cons(sK57,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206706,c_199078]) ).
tcf(c_206726,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK60,sK60)),X0),sK60)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60))
| ~ ssList(app(app(sK12(cons(sK57,app(sK60,sK60)),sK60),sK60),X0)) ),
inference(superposition,[status(thm)],[c_199652,c_67]) ).
tcf(c_206729,plain,
! [X0: $i] :
( memberP(sK60,X0)
| memberP(sK12(cons(sK57,app(sK60,sK60)),sK60),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK60,sK60)),X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60)) ),
inference(superposition,[status(thm)],[c_199652,c_167]) ).
tcf(c_206730,plain,
( ( sK12(cons(sK57,app(sK60,sK60)),sK60) = nil )
| ~ ssList(sK60)
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60))
| ( cons(sK57,app(sK60,sK60)) != nil ) ),
inference(superposition,[status(thm)],[c_199652,c_231]) ).
tcf(c_206731,plain,
( ( nil = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60))
| ( cons(sK57,app(sK60,sK60)) != nil ) ),
inference(superposition,[status(thm)],[c_199652,c_230]) ).
tcf(c_206732,plain,
( frontsegP(cons(sK57,app(sK60,sK60)),sK12(cons(sK57,app(sK60,sK60)),sK60))
| ~ ssList(sK60)
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60)) ),
inference(superposition,[status(thm)],[c_199652,c_378]) ).
tcf(c_206735,plain,
! [X0: $i] :
( ( sK12(cons(sK57,app(sK60,sK60)),sK60) = X0 )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60))
| ( cons(sK57,app(sK60,sK60)) != app(X0,sK60) ) ),
inference(superposition,[status(thm)],[c_199652,c_225]) ).
tcf(c_206736,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60))
| ( app(sK12(cons(sK57,app(sK60,sK60)),sK60),X0) != cons(sK57,app(sK60,sK60)) ) ),
inference(superposition,[status(thm)],[c_199652,c_226]) ).
tcf(c_206737,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK60,sK60)),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60))
| ~ frontsegP(sK12(cons(sK57,app(sK60,sK60)),sK60),X0) ),
inference(superposition,[status(thm)],[c_199652,c_176]) ).
tcf(c_206738,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK60,sK60)),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60))
| ~ memberP(sK12(cons(sK57,app(sK60,sK60)),sK60),X0) ),
inference(superposition,[status(thm)],[c_199652,c_165]) ).
tcf(c_206739,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK60,sK60)),X1),X0)
| ~ ssList(sK60)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60)) ),
inference(superposition,[status(thm)],[c_199652,c_193]) ).
tcf(c_206740,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK60,sK60)),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60)) ),
inference(superposition,[status(thm)],[c_199652,c_186]) ).
tcf(c_206741,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK60,sK60)),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60)) ),
inference(superposition,[status(thm)],[c_199652,c_166]) ).
tcf(c_206742,plain,
( ( sK12(cons(sK57,app(sK60,sK60)),sK60) = iPr_def_10 )
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60))
| ( cons(sK57,app(sK60,sK60)) != cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_199652,c_199114]) ).
tcf(c_206743,plain,
( ( sK12(cons(sK57,app(sK60,sK60)),sK60) = iPr_def_12 )
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60))
| ( cons(sK57,app(sK60,sK60)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_199652,c_186318]) ).
tcf(c_206744,plain,
( ( sK12(cons(sK57,app(sK60,sK60)),sK60) = nil )
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60))
| ( cons(sK57,app(sK60,sK60)) != sK60 ) ),
inference(superposition,[status(thm)],[c_199652,c_186310]) ).
tcf(c_206745,plain,
( frontsegP(cons(sK57,app(sK60,sK60)),sK12(cons(sK57,app(sK60,sK60)),sK60))
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206732,c_12927]) ).
tcf(c_206748,plain,
( ( nil = sK60 )
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60))
| ( cons(sK57,app(sK60,sK60)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206731,c_12927]) ).
tcf(c_206752,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK60,sK60)),X0)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206741,c_12927]) ).
tcf(c_206767,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK60,sK60)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206739,c_12927]) ).
tcf(c_206773,plain,
( ( sK12(cons(sK57,app(sK60,sK60)),sK60) = nil )
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60))
| ( cons(sK57,app(sK60,sK60)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206730,c_12927]) ).
tcf(c_206777,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK60,sK60)),X0)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60))
| ~ memberP(sK12(cons(sK57,app(sK60,sK60)),sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206738,c_12927]) ).
tcf(c_206782,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK60,sK60)),X0)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60))
| ~ frontsegP(sK12(cons(sK57,app(sK60,sK60)),sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206737,c_12927]) ).
tcf(c_206787,plain,
! [X0: $i] :
( memberP(sK60,X0)
| memberP(sK12(cons(sK57,app(sK60,sK60)),sK60),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK60,sK60)),X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206729,c_12927]) ).
tcf(c_206793,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60))
| ( app(sK12(cons(sK57,app(sK60,sK60)),sK60),X0) != cons(sK57,app(sK60,sK60)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206736,c_12927]) ).
tcf(c_206798,plain,
! [X0: $i] :
( ( sK12(cons(sK57,app(sK60,sK60)),sK60) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60))
| ( cons(sK57,app(sK60,sK60)) != app(X0,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206735,c_12927]) ).
tcf(c_206803,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK60,sK60)),X0),sK60)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60))
| ~ ssList(app(cons(sK57,app(sK60,sK60)),X0)) ),
inference(light_normalisation,[status(thm)],[c_206726,c_199652]) ).
tcf(c_206804,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK60,sK60)),X0),sK60)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60))
| ~ ssList(app(cons(sK57,app(sK60,sK60)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206803,c_12927]) ).
tcf(c_206846,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK56))
| ~ ssList(app(cons(sK57,tl(sK56)),cons(X0,X1)))
| ~ strictorderedP(app(app(nil,cons(sK57,tl(sK56))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_175898,c_122]) ).
tcf(c_206847,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK56))
| ~ ssList(app(cons(sK57,tl(sK56)),cons(X0,X1)))
| ~ totalorderedP(app(app(nil,cons(sK57,tl(sK56))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_175898,c_114]) ).
tcf(c_206848,plain,
! [X0: $i] :
( ( nil = sK56 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ ssList(app(cons(sK57,tl(sK56)),cons(sK57,X0)))
| ~ duplicatefreeP(app(app(nil,cons(sK57,tl(sK56))),cons(sK57,X0))) ),
inference(superposition,[status(thm)],[c_175898,c_130]) ).
tcf(c_206852,plain,
( memberP(cons(sK57,tl(sK56)),sK57)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(tl(sK56))
| ~ ssList(app(nil,cons(sK57,tl(sK56)))) ),
inference(superposition,[status(thm)],[c_175898,c_54]) ).
tcf(c_206853,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,tl(sK56)),X0),cons(sK57,tl(sK56)))
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK56)))
| ~ ssList(app(app(nil,cons(sK57,tl(sK56))),X0)) ),
inference(superposition,[status(thm)],[c_175898,c_67]) ).
tcf(c_206859,plain,
( frontsegP(cons(sK57,tl(sK56)),nil)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(cons(sK57,tl(sK56))) ),
inference(superposition,[status(thm)],[c_175898,c_378]) ).
tcf(c_206860,plain,
( rearsegP(cons(sK57,tl(sK56)),cons(sK57,tl(sK56)))
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(cons(sK57,tl(sK56))) ),
inference(superposition,[status(thm)],[c_175898,c_375]) ).
tcf(c_206862,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK56)))
| ( app(X0,cons(sK57,tl(sK56))) != cons(sK57,tl(sK56)) ) ),
inference(superposition,[status(thm)],[c_175898,c_225]) ).
tcf(c_206866,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( cons(sK57,tl(sK56)) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK56)))
| ( cons(sK57,tl(sK56)) != app(nil,X0) ) ),
inference(superposition,[status(thm)],[c_175898,c_226]) ).
tcf(c_206867,plain,
! [X0: $i] :
( frontsegP(cons(sK57,tl(sK56)),X0)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,tl(sK56))) ),
inference(superposition,[status(thm)],[c_175898,c_176]) ).
tcf(c_206869,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,tl(sK56)),X1),X0)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK56)))
| ~ segmentP(cons(sK57,tl(sK56)),X0) ),
inference(superposition,[status(thm)],[c_175898,c_193]) ).
tcf(c_206872,plain,
( frontsegP(cons(sK57,tl(sK56)),nil)
| ( nil = sK56 )
| ~ ssList(cons(sK57,tl(sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206859,c_141]) ).
tcf(c_206876,plain,
( rearsegP(cons(sK57,tl(sK56)),cons(sK57,tl(sK56)))
| ( nil = sK56 )
| ~ ssList(cons(sK57,tl(sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206860,c_141]) ).
tcf(c_206880,plain,
! [X0: $i] :
( frontsegP(cons(sK57,tl(sK56)),X0)
| ( nil = sK56 )
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,tl(sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206867,c_141]) ).
tcf(c_206886,plain,
( memberP(cons(sK57,tl(sK56)),sK57)
| ( nil = sK56 )
| ~ ssList(tl(sK56))
| ~ ssList(app(nil,cons(sK57,tl(sK56)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206852,c_141,c_12925]) ).
tcf(c_206891,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( cons(sK57,tl(sK56)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK56)))
| ( cons(sK57,tl(sK56)) != app(nil,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206866,c_141]) ).
tcf(c_206897,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK56)))
| ( app(X0,cons(sK57,tl(sK56))) != cons(sK57,tl(sK56)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206862,c_141]) ).
tcf(c_206903,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,tl(sK56)),X1),X0)
| ( nil = sK56 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK56)))
| ~ segmentP(cons(sK57,tl(sK56)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206869,c_141]) ).
tcf(c_206926,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,tl(sK56)),X0),cons(sK57,tl(sK56)))
| ( nil = sK56 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK56)))
| ~ ssList(app(app(nil,cons(sK57,tl(sK56))),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206853,c_141]) ).
tcf(c_206940,plain,
! [X0: $i] :
( ( nil = sK56 )
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ ssList(app(cons(sK57,tl(sK56)),cons(sK57,X0)))
| ~ duplicatefreeP(app(app(nil,cons(sK57,tl(sK56))),cons(sK57,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206848,c_141,c_12925]) ).
tcf(c_206946,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ( nil = sK56 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK56))
| ~ ssList(app(cons(sK57,tl(sK56)),cons(X0,X1)))
| ~ totalorderedP(app(app(nil,cons(sK57,tl(sK56))),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206847,c_141,c_12925]) ).
tcf(c_206954,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ( nil = sK56 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK56))
| ~ ssList(app(cons(sK57,tl(sK56)),cons(X0,X1)))
| ~ strictorderedP(app(app(nil,cons(sK57,tl(sK56))),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206846,c_141,c_12925]) ).
tcf(c_207103,plain,
frontsegP(cons(sK57,iPr_def_13),nil),
inference(global_subsumption_just,[status(thm)],[c_177384,c_20987,c_71011]) ).
tcf(c_207106,plain,
( ( cons(sK57,iPr_def_13) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_13))
| ~ frontsegP(nil,cons(sK57,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_207103,c_174]) ).
tcf(c_207107,plain,
( ( app(nil,sK11(cons(sK57,iPr_def_13),nil)) = cons(sK57,iPr_def_13) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_207103,c_63]) ).
tcf(c_207108,plain,
( ( app(nil,sK11(cons(sK57,iPr_def_13),nil)) = cons(sK57,iPr_def_13) )
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207107,c_141]) ).
tcf(c_207111,plain,
( ( cons(sK57,iPr_def_13) = nil )
| ~ ssList(cons(sK57,iPr_def_13))
| ~ frontsegP(nil,cons(sK57,iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207106,c_141]) ).
tcf(c_207126,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ~ rearsegP(sK11(sK56,nil),X0) ),
inference(superposition,[status(thm)],[c_177746,c_183]) ).
tcf(c_207127,plain,
( ( sK11(sK56,nil) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(sK56,nil))
| ~ rearsegP(sK11(sK56,nil),sK56) ),
inference(superposition,[status(thm)],[c_177746,c_184]) ).
tcf(c_207128,plain,
( ( app(sK12(sK56,sK11(sK56,nil)),sK11(sK56,nil)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(sK56,nil)) ),
inference(superposition,[status(thm)],[c_177746,c_66]) ).
tcf(c_207129,plain,
( ( app(sK12(sK56,sK11(sK56,nil)),sK11(sK56,nil)) = sK56 )
| ~ ssList(sK11(sK56,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207128,c_12924]) ).
tcf(c_207138,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ~ rearsegP(sK11(sK59,nil),X0) ),
inference(superposition,[status(thm)],[c_177758,c_183]) ).
tcf(c_207139,plain,
( ( sK11(sK59,nil) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(sK59,nil))
| ~ rearsegP(sK11(sK59,nil),sK59) ),
inference(superposition,[status(thm)],[c_177758,c_184]) ).
tcf(c_207140,plain,
( ( app(sK12(sK59,sK11(sK59,nil)),sK11(sK59,nil)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(sK59,nil)) ),
inference(superposition,[status(thm)],[c_177758,c_66]) ).
tcf(c_207141,plain,
( ( app(sK12(sK59,sK11(sK59,nil)),sK11(sK59,nil)) = sK59 )
| ~ ssList(sK11(sK59,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207140,c_12926]) ).
tcf(c_207150,plain,
! [X0: $i] :
( rearsegP(sK60,X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK11(sK60,nil))
| ~ rearsegP(sK11(sK60,nil),X0) ),
inference(superposition,[status(thm)],[c_177770,c_183]) ).
tcf(c_207151,plain,
( ( sK11(sK60,nil) = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK11(sK60,nil))
| ~ rearsegP(sK11(sK60,nil),sK60) ),
inference(superposition,[status(thm)],[c_177770,c_184]) ).
tcf(c_207152,plain,
( ( app(sK12(sK60,sK11(sK60,nil)),sK11(sK60,nil)) = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK11(sK60,nil)) ),
inference(superposition,[status(thm)],[c_177770,c_66]) ).
tcf(c_207153,plain,
( rearsegP(iPr_def_13,sK11(sK60,nil))
| ~ ssList(sK11(sK60,nil)) ),
inference(superposition,[status(thm)],[c_177770,c_178981]) ).
tcf(c_207156,plain,
( ( app(sK12(sK60,sK11(sK60,nil)),sK11(sK60,nil)) = sK60 )
| ~ ssList(sK11(sK60,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207152,c_12927]) ).
tcf(c_207161,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK59),X0),sK59)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_10,sK59),X0)) ),
inference(superposition,[status(thm)],[c_201454,c_67]) ).
tcf(c_207164,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| memberP(sK59,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK59),X0) ),
inference(superposition,[status(thm)],[c_201454,c_167]) ).
tcf(c_207165,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ( cons(sK57,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_201454,c_231]) ).
tcf(c_207166,plain,
( ( nil = sK59 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ( cons(sK57,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_201454,c_230]) ).
tcf(c_207167,plain,
( frontsegP(cons(sK57,sK59),iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_201454,c_378]) ).
tcf(c_207168,plain,
( rearsegP(cons(sK57,sK59),sK59)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_201454,c_375]) ).
tcf(c_207169,plain,
( ssList(cons(sK57,sK59))
| ~ ssList(iPr_def_10)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_201454,c_153]) ).
tcf(c_207170,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ( app(X0,sK59) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_201454,c_225]) ).
tcf(c_207171,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_201454,c_226]) ).
tcf(c_207172,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK59),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_201454,c_176]) ).
tcf(c_207173,plain,
! [X0: $i] :
( memberP(cons(sK57,sK59),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_201454,c_165]) ).
tcf(c_207174,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK59),X1),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_201454,c_193]) ).
tcf(c_207175,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK59),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(superposition,[status(thm)],[c_201454,c_186]) ).
tcf(c_207176,plain,
! [X0: $i] :
( memberP(cons(sK57,sK59),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(superposition,[status(thm)],[c_201454,c_166]) ).
tcf(c_207177,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( cons(sK57,sK59) != sK59 ) ),
inference(superposition,[status(thm)],[c_201454,c_186306]) ).
tcf(c_207178,plain,
( ( sK59 = sK60 )
| ~ ssList(sK59)
| ( cons(sK57,sK59) != cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_201454,c_199110]) ).
tcf(c_207179,plain,
ssList(cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_207169,c_173031,c_12926]) ).
tcf(c_207180,plain,
rearsegP(cons(sK57,sK59),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_207168,c_173031,c_12926]) ).
tcf(c_207181,plain,
frontsegP(cons(sK57,sK59),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_207167,c_173031,c_12926]) ).
tcf(c_207182,plain,
cons(sK57,sK59) != sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_207177,c_174077,c_173031]) ).
tcf(c_207183,plain,
( ( sK59 = sK60 )
| ( cons(sK57,sK59) != cons(sK57,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207178,c_12926]) ).
tcf(c_207189,plain,
cons(sK57,sK59) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_207165,c_174077,c_173031,c_12926]) ).
tcf(c_207190,plain,
! [X0: $i] :
( memberP(cons(sK57,sK59),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207176,c_173031,c_12926]) ).
tcf(c_207194,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK59),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207175,c_173031,c_12926]) ).
tcf(c_207198,plain,
! [X0: $i] :
( memberP(cons(sK57,sK59),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207173,c_173031,c_12926]) ).
tcf(c_207202,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207172,c_173031,c_12926]) ).
tcf(c_207206,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| memberP(sK59,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207164,c_173031,c_12926]) ).
tcf(c_207211,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207171,c_173031,c_12926]) ).
tcf(c_207215,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(X0,sK59) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207170,c_173031,c_12926]) ).
tcf(c_207219,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_207174,c_173031,c_12926]) ).
tcf(c_207224,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK59),X0),sK59)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK59),X0)) ),
inference(light_normalisation,[status(thm)],[c_207161,c_201454]) ).
tcf(c_207225,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_207224,c_173031,c_12926]) ).
tcf(c_207245,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_207179,c_228]) ).
tcf(c_207246,plain,
tl(cons(sK7,cons(sK57,sK59))) = cons(sK57,sK59),
inference(superposition,[status(thm)],[c_207179,c_174213]) ).
tcf(c_207247,plain,
cons(sK57,app(cons(sK57,sK59),sK56)) = app(cons(sK57,cons(sK57,sK59)),sK56),
inference(superposition,[status(thm)],[c_207179,c_197765]) ).
tcf(c_207248,plain,
tl(cons(sK6,cons(sK57,sK59))) = cons(sK57,sK59),
inference(superposition,[status(thm)],[c_207179,c_174212]) ).
tcf(c_207249,plain,
cons(sK57,app(cons(sK57,sK59),sK59)) = app(cons(sK57,cons(sK57,sK59)),sK59),
inference(superposition,[status(thm)],[c_207179,c_197764]) ).
tcf(c_207250,plain,
hd(cons(sK7,cons(sK57,sK59))) = sK7,
inference(superposition,[status(thm)],[c_207179,c_174092]) ).
tcf(c_207251,plain,
hd(cons(sK6,cons(sK57,sK59))) = sK6,
inference(superposition,[status(thm)],[c_207179,c_174091]) ).
tcf(c_207252,plain,
cons(sK57,app(cons(sK57,sK59),sK60)) = app(cons(sK57,cons(sK57,sK59)),sK60),
inference(superposition,[status(thm)],[c_207179,c_197763]) ).
tcf(c_207253,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,sK59))) = app(cons(sK57,X0),cons(sK57,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_207179,c_182224]) ).
tcf(c_207254,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,sK59)) = tl(app(sK56,cons(sK57,sK59))) ) ),
inference(superposition,[status(thm)],[c_207179,c_181006]) ).
tcf(c_207255,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,sK59)) = tl(app(sK59,cons(sK57,sK59))) ) ),
inference(superposition,[status(thm)],[c_207179,c_181005]) ).
tcf(c_207256,plain,
( ( nil = sK60 )
| ( app(tl(sK60),cons(sK57,sK59)) = tl(app(sK60,cons(sK57,sK59))) ) ),
inference(superposition,[status(thm)],[c_207179,c_181004]) ).
tcf(c_207257,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_207179,c_124]) ).
tcf(c_207258,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_207179,c_116]) ).
tcf(c_207259,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_207179,c_108]) ).
tcf(c_207260,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,sK59))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_207179,c_179266]) ).
tcf(c_207261,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,sK59))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_207179,c_179265]) ).
tcf(c_207262,plain,
( ( nil = sK60 )
| ( hd(app(sK60,cons(sK57,sK59))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_207179,c_179264]) ).
tcf(c_207263,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_207179,c_234]) ).
tcf(c_207264,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_207179,c_132]) ).
tcf(c_207265,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = nil )
| ( hd(app(cons(sK57,sK59),X0)) = hd(cons(sK57,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_207179,c_233]) ).
tcf(c_207266,plain,
( ( cons(sK57,sK59) = nil )
| ( cons(hd(cons(sK57,sK59)),tl(cons(sK57,sK59))) = cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_207179,c_224]) ).
tcf(c_207267,plain,
( ( cons(sK57,sK59) = nil )
| ( cons(sK50(cons(sK57,sK59)),sK49(cons(sK57,sK59))) = cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_207179,c_147]) ).
tcf(c_207268,plain,
( ( cons(sK57,sK59) = nil )
| ( tl(cons(sK57,sK59)) = sK52(cons(sK57,sK59)) ) ),
inference(superposition,[status(thm)],[c_207179,c_222]) ).
tcf(c_207269,plain,
( ( cons(sK57,sK59) = nil )
| ( hd(cons(sK57,sK59)) = sK51(cons(sK57,sK59)) ) ),
inference(superposition,[status(thm)],[c_207179,c_220]) ).
tcf(c_207270,plain,
app(nil,cons(sK57,cons(sK57,sK59))) = cons(sK57,cons(sK57,sK59)),
inference(superposition,[status(thm)],[c_207179,c_173594]) ).
tcf(c_207271,plain,
tl(cons(sK57,cons(sK57,sK59))) = cons(sK57,sK59),
inference(superposition,[status(thm)],[c_207179,c_174232]) ).
tcf(c_207272,plain,
hd(cons(sK57,cons(sK57,sK59))) = sK57,
inference(superposition,[status(thm)],[c_207179,c_174111]) ).
tcf(c_207273,plain,
( ( cons(sK57,sK59) = nil )
| ( app(sK49(cons(sK57,sK59)),nil) = sK49(cons(sK57,sK59)) ) ),
inference(superposition,[status(thm)],[c_207179,c_173044]) ).
tcf(c_207274,plain,
( duplicatefreeP(cons(sK57,sK59))
| ( sK40(cons(sK57,sK59)) = sK41(cons(sK57,sK59)) ) ),
inference(superposition,[status(thm)],[c_207179,c_123]) ).
tcf(c_207275,plain,
app(cons(sK57,cons(sK57,sK59)),nil) = cons(sK57,cons(sK57,sK59)),
inference(superposition,[status(thm)],[c_207179,c_173094]) ).
tcf(c_207286,plain,
( ( cons(sK57,sK59) = nil )
| ( sK51(cons(sK57,sK59)) = sK57 ) ),
inference(light_normalisation,[status(thm)],[c_207269,c_174358]) ).
tcf(c_207289,plain,
( ( cons(sK57,sK59) = nil )
| ( sK52(cons(sK57,sK59)) = sK59 ) ),
inference(light_normalisation,[status(thm)],[c_207268,c_174505]) ).
tcf(c_207292,plain,
cons(sK57,cons(sK57,app(sK59,sK60))) = app(cons(sK57,cons(sK57,sK59)),sK60),
inference(light_normalisation,[status(thm)],[c_207252,c_198076]) ).
tcf(c_207293,plain,
cons(sK57,cons(sK57,app(sK59,sK59))) = app(cons(sK57,cons(sK57,sK59)),sK59),
inference(light_normalisation,[status(thm)],[c_207249,c_201438]) ).
tcf(c_207294,plain,
cons(sK57,cons(sK57,app(sK59,sK56))) = app(cons(sK57,cons(sK57,sK59)),sK56),
inference(light_normalisation,[status(thm)],[c_207247,c_204202]) ).
tcf(c_207308,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = nil )
| ( hd(app(cons(sK57,sK59),X0)) = sK57 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_207265,c_174358]) ).
tcf(c_207315,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = nil )
| ( tl(app(cons(sK57,sK59),X0)) = app(sK59,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_207263,c_174505]) ).
tcf(c_207503,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK59),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_207180,c_183]) ).
tcf(c_207504,plain,
( ( cons(sK57,sK59) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59))
| ~ rearsegP(sK59,cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_207180,c_184]) ).
tcf(c_207505,plain,
( ( app(sK12(cons(sK57,sK59),sK59),sK59) = cons(sK57,sK59) )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_207180,c_66]) ).
tcf(c_207506,plain,
app(sK12(cons(sK57,sK59),sK59),sK59) = cons(sK57,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_207505,c_12926,c_207179]) ).
tcf(c_207507,plain,
( ( cons(sK57,sK59) = sK59 )
| ~ rearsegP(sK59,cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207504,c_12926,c_207179]) ).
tcf(c_207511,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK59),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_207181,c_173]) ).
tcf(c_207512,plain,
( ( cons(sK57,sK59) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK57,sK59))
| ~ frontsegP(iPr_def_10,cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_207181,c_174]) ).
tcf(c_207513,plain,
( ( app(iPr_def_10,sK11(cons(sK57,sK59),iPr_def_10)) = cons(sK57,sK59) )
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_207181,c_63]) ).
tcf(c_207515,plain,
app(iPr_def_10,sK11(cons(sK57,sK59),iPr_def_10)) = cons(sK57,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_207513,c_173031,c_207179]) ).
tcf(c_207516,plain,
( ( cons(sK57,sK59) = iPr_def_10 )
| ~ frontsegP(iPr_def_10,cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207512,c_173031,c_207179]) ).
tcf(c_207541,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_207190,c_57]) ).
tcf(c_207543,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_207541,c_207179]) ).
tcf(c_207553,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_207194,c_183]) ).
tcf(c_207554,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_207194,c_184]) ).
tcf(c_207555,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_207194,c_66]) ).
tcf(c_207556,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_207555,c_207179]) ).
tcf(c_207560,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ rearsegP(X0,cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207554,c_207179]) ).
tcf(c_207565,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_207553,c_207179]) ).
tcf(c_207596,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,sK59),X0),cons(X0,sK9(cons(sK57,sK59),X0))) = cons(sK57,sK59) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_207198,c_57]) ).
tcf(c_207597,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ( X0 = sK57 )
| ~ ssList(sK59)
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_207198,c_170]) ).
tcf(c_207599,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,sK59),X0),cons(X0,sK9(cons(sK57,sK59),X0))) = cons(sK57,sK59) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207596,c_207179]) ).
tcf(c_207609,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,sK59),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_207202,c_173]) ).
tcf(c_207610,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ ssList(cons(sK57,sK59))
| ~ frontsegP(X0,cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_207202,c_174]) ).
tcf(c_207611,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,sK59),X0)) = cons(sK57,sK59) )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_207202,c_63]) ).
tcf(c_207612,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(sK59)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_207202,c_178]) ).
tcf(c_207613,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK59,X1)
| ~ ssList(sK59)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_207202,c_179]) ).
tcf(c_207615,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,sK59),X0)) = cons(sK57,sK59) )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207611,c_207179]) ).
tcf(c_207619,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ frontsegP(X0,cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207610,c_207179]) ).
tcf(c_207624,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,sK59),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ frontsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207609,c_207179]) ).
tcf(c_207630,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_207613,c_12926,c_12925]) ).
tcf(c_207637,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_207506,c_67]) ).
tcf(c_207640,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_207506,c_167]) ).
tcf(c_207643,plain,
( frontsegP(cons(sK57,sK59),sK12(cons(sK57,sK59),sK59))
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK57,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_207506,c_378]) ).
tcf(c_207646,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_207506,c_225]) ).
tcf(c_207647,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_207506,c_226]) ).
tcf(c_207648,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_207506,c_176]) ).
tcf(c_207649,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_207506,c_165]) ).
tcf(c_207650,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_207506,c_193]) ).
tcf(c_207651,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_207506,c_186]) ).
tcf(c_207652,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_207506,c_166]) ).
tcf(c_207654,plain,
( frontsegP(cons(sK57,sK59),sK12(cons(sK57,sK59),sK59))
| ~ ssList(sK12(cons(sK57,sK59),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207643,c_12926]) ).
tcf(c_207659,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_207649,c_12926]) ).
tcf(c_207664,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_207648,c_12926]) ).
tcf(c_207670,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_207640,c_12926]) ).
tcf(c_207676,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_207647,c_12926]) ).
tcf(c_207681,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_207646,c_12926]) ).
tcf(c_207686,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_207637,c_207506]) ).
tcf(c_207687,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_207686,c_12926]) ).
tcf(c_207720,plain,
~ rearsegP(sK59,cons(sK57,sK59)),
inference(global_subsumption_just,[status(thm)],[c_207507,c_45944,c_46224]) ).
tcf(c_207731,plain,
frontsegP(cons(sK57,iPr_def_11),nil),
inference(global_subsumption_just,[status(thm)],[c_177842,c_21392,c_83430]) ).
tcf(c_207734,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_207731,c_174]) ).
tcf(c_207735,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_207731,c_63]) ).
tcf(c_207736,plain,
( ( app(nil,sK11(cons(sK57,iPr_def_11),nil)) = cons(sK57,iPr_def_11) )
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207735,c_141]) ).
tcf(c_207739,plain,
( ( cons(sK57,iPr_def_11) = nil )
| ~ ssList(cons(sK57,iPr_def_11))
| ~ frontsegP(nil,cons(sK57,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207734,c_141]) ).
tcf(c_207762,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_178196,c_184]) ).
tcf(c_207763,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_178196,c_66]) ).
tcf(c_207764,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_207763,c_173203]) ).
tcf(c_207767,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_207762,c_173203]) ).
tcf(c_207771,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK56),X0),sK56)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_10,sK56),X0)) ),
inference(superposition,[status(thm)],[c_204221,c_67]) ).
tcf(c_207774,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| memberP(sK56,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK56),X0) ),
inference(superposition,[status(thm)],[c_204221,c_167]) ).
tcf(c_207775,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ( cons(sK57,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_204221,c_231]) ).
tcf(c_207776,plain,
( ( nil = sK56 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ( cons(sK57,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_204221,c_230]) ).
tcf(c_207777,plain,
( frontsegP(cons(sK57,sK56),iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_204221,c_378]) ).
tcf(c_207778,plain,
( rearsegP(cons(sK57,sK56),sK56)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_204221,c_375]) ).
tcf(c_207779,plain,
( ssList(cons(sK57,sK56))
| ~ ssList(iPr_def_10)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_204221,c_153]) ).
tcf(c_207780,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ~ ssList(X0)
| ( app(X0,sK56) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_204221,c_225]) ).
tcf(c_207781,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_204221,c_226]) ).
tcf(c_207782,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK56),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_204221,c_176]) ).
tcf(c_207783,plain,
! [X0: $i] :
( memberP(cons(sK57,sK56),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_204221,c_165]) ).
tcf(c_207784,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK56),X1),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_204221,c_193]) ).
tcf(c_207785,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK56),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(superposition,[status(thm)],[c_204221,c_186]) ).
tcf(c_207786,plain,
! [X0: $i] :
( memberP(cons(sK57,sK56),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(superposition,[status(thm)],[c_204221,c_166]) ).
tcf(c_207787,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( cons(sK57,sK56) != sK56 ) ),
inference(superposition,[status(thm)],[c_204221,c_186302]) ).
tcf(c_207788,plain,
( ( sK60 = sK56 )
| ~ ssList(sK56)
| ( cons(sK57,sK60) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_204221,c_199110]) ).
tcf(c_207789,plain,
ssList(cons(sK57,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_207779,c_173031,c_12924]) ).
tcf(c_207790,plain,
rearsegP(cons(sK57,sK56),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_207778,c_173031,c_12924]) ).
tcf(c_207791,plain,
frontsegP(cons(sK57,sK56),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_207777,c_173031,c_12924]) ).
tcf(c_207792,plain,
cons(sK57,sK56) != sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_207787,c_174077,c_173031]) ).
tcf(c_207793,plain,
( ( sK60 = sK56 )
| ( cons(sK57,sK60) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207788,c_12924]) ).
tcf(c_207799,plain,
cons(sK57,sK56) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_207775,c_174077,c_173031,c_12924]) ).
tcf(c_207800,plain,
! [X0: $i] :
( memberP(cons(sK57,sK56),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207786,c_173031,c_12924]) ).
tcf(c_207804,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK56),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207785,c_173031,c_12924]) ).
tcf(c_207808,plain,
! [X0: $i] :
( memberP(cons(sK57,sK56),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207783,c_173031,c_12924]) ).
tcf(c_207812,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207782,c_173031,c_12924]) ).
tcf(c_207816,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| memberP(sK56,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207774,c_173031,c_12924]) ).
tcf(c_207821,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207781,c_173031,c_12924]) ).
tcf(c_207825,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(X0,sK56) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207780,c_173031,c_12924]) ).
tcf(c_207829,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_207784,c_173031,c_12924]) ).
tcf(c_207834,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK56),X0),sK56)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK56),X0)) ),
inference(light_normalisation,[status(thm)],[c_207771,c_204221]) ).
tcf(c_207835,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_207834,c_173031,c_12924]) ).
tcf(c_207893,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_207789,c_228]) ).
tcf(c_207894,plain,
tl(cons(sK7,cons(sK57,sK56))) = cons(sK57,sK56),
inference(superposition,[status(thm)],[c_207789,c_174213]) ).
tcf(c_207895,plain,
cons(sK57,app(cons(sK57,sK56),sK56)) = app(cons(sK57,cons(sK57,sK56)),sK56),
inference(superposition,[status(thm)],[c_207789,c_197765]) ).
tcf(c_207896,plain,
tl(cons(sK6,cons(sK57,sK56))) = cons(sK57,sK56),
inference(superposition,[status(thm)],[c_207789,c_174212]) ).
tcf(c_207897,plain,
cons(sK57,app(cons(sK57,sK56),sK59)) = app(cons(sK57,cons(sK57,sK56)),sK59),
inference(superposition,[status(thm)],[c_207789,c_197764]) ).
tcf(c_207898,plain,
hd(cons(sK7,cons(sK57,sK56))) = sK7,
inference(superposition,[status(thm)],[c_207789,c_174092]) ).
tcf(c_207899,plain,
hd(cons(sK6,cons(sK57,sK56))) = sK6,
inference(superposition,[status(thm)],[c_207789,c_174091]) ).
tcf(c_207900,plain,
cons(sK57,app(cons(sK57,sK56),sK60)) = app(cons(sK57,cons(sK57,sK56)),sK60),
inference(superposition,[status(thm)],[c_207789,c_197763]) ).
tcf(c_207901,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,sK56))) = app(cons(sK57,X0),cons(sK57,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_207789,c_182224]) ).
tcf(c_207902,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,sK56)) = tl(app(sK56,cons(sK57,sK56))) ) ),
inference(superposition,[status(thm)],[c_207789,c_181006]) ).
tcf(c_207903,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,sK56)) = tl(app(sK59,cons(sK57,sK56))) ) ),
inference(superposition,[status(thm)],[c_207789,c_181005]) ).
tcf(c_207904,plain,
( ( nil = sK60 )
| ( app(tl(sK60),cons(sK57,sK56)) = tl(app(sK60,cons(sK57,sK56))) ) ),
inference(superposition,[status(thm)],[c_207789,c_181004]) ).
tcf(c_207905,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_207789,c_124]) ).
tcf(c_207906,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_207789,c_116]) ).
tcf(c_207907,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_207789,c_108]) ).
tcf(c_207908,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,sK56))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_207789,c_179266]) ).
tcf(c_207909,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,sK56))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_207789,c_179265]) ).
tcf(c_207910,plain,
( ( nil = sK60 )
| ( hd(app(sK60,cons(sK57,sK56))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_207789,c_179264]) ).
tcf(c_207911,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_207789,c_234]) ).
tcf(c_207912,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_207789,c_132]) ).
tcf(c_207913,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = nil )
| ( hd(app(cons(sK57,sK56),X0)) = hd(cons(sK57,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_207789,c_233]) ).
tcf(c_207914,plain,
( ( cons(sK57,sK56) = nil )
| ( cons(hd(cons(sK57,sK56)),tl(cons(sK57,sK56))) = cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_207789,c_224]) ).
tcf(c_207915,plain,
( ( cons(sK57,sK56) = nil )
| ( cons(sK50(cons(sK57,sK56)),sK49(cons(sK57,sK56))) = cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_207789,c_147]) ).
tcf(c_207916,plain,
( ( cons(sK57,sK56) = nil )
| ( tl(cons(sK57,sK56)) = sK52(cons(sK57,sK56)) ) ),
inference(superposition,[status(thm)],[c_207789,c_222]) ).
tcf(c_207917,plain,
( ( cons(sK57,sK56) = nil )
| ( hd(cons(sK57,sK56)) = sK51(cons(sK57,sK56)) ) ),
inference(superposition,[status(thm)],[c_207789,c_220]) ).
tcf(c_207918,plain,
app(nil,cons(sK57,cons(sK57,sK56))) = cons(sK57,cons(sK57,sK56)),
inference(superposition,[status(thm)],[c_207789,c_173594]) ).
tcf(c_207919,plain,
tl(cons(sK57,cons(sK57,sK56))) = cons(sK57,sK56),
inference(superposition,[status(thm)],[c_207789,c_174232]) ).
tcf(c_207920,plain,
hd(cons(sK57,cons(sK57,sK56))) = sK57,
inference(superposition,[status(thm)],[c_207789,c_174111]) ).
tcf(c_207921,plain,
( ( cons(sK57,sK56) = nil )
| ( app(sK49(cons(sK57,sK56)),nil) = sK49(cons(sK57,sK56)) ) ),
inference(superposition,[status(thm)],[c_207789,c_173044]) ).
tcf(c_207922,plain,
( duplicatefreeP(cons(sK57,sK56))
| ( sK40(cons(sK57,sK56)) = sK41(cons(sK57,sK56)) ) ),
inference(superposition,[status(thm)],[c_207789,c_123]) ).
tcf(c_207923,plain,
app(cons(sK57,cons(sK57,sK56)),nil) = cons(sK57,cons(sK57,sK56)),
inference(superposition,[status(thm)],[c_207789,c_173094]) ).
tcf(c_207934,plain,
( ( cons(sK57,sK56) = nil )
| ( sK51(cons(sK57,sK56)) = sK57 ) ),
inference(light_normalisation,[status(thm)],[c_207917,c_174359]) ).
tcf(c_207937,plain,
( ( cons(sK57,sK56) = nil )
| ( sK52(cons(sK57,sK56)) = sK56 ) ),
inference(light_normalisation,[status(thm)],[c_207916,c_174506]) ).
tcf(c_207940,plain,
cons(sK57,cons(sK57,app(sK56,sK60))) = app(cons(sK57,cons(sK57,sK56)),sK60),
inference(light_normalisation,[status(thm)],[c_207900,c_198077]) ).
tcf(c_207941,plain,
cons(sK57,cons(sK57,app(sK56,sK59))) = app(cons(sK57,cons(sK57,sK56)),sK59),
inference(light_normalisation,[status(thm)],[c_207897,c_201439]) ).
tcf(c_207942,plain,
cons(sK57,cons(sK57,app(sK56,sK56))) = app(cons(sK57,cons(sK57,sK56)),sK56),
inference(light_normalisation,[status(thm)],[c_207895,c_204203]) ).
tcf(c_207956,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = nil )
| ( hd(app(cons(sK57,sK56),X0)) = sK57 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_207913,c_174359]) ).
tcf(c_207963,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = nil )
| ( tl(app(cons(sK57,sK56),X0)) = app(sK56,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_207911,c_174506]) ).
tcf(c_208135,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK56),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_207790,c_183]) ).
tcf(c_208136,plain,
( ( cons(sK57,sK56) = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56))
| ~ rearsegP(sK56,cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_207790,c_184]) ).
tcf(c_208137,plain,
( ( app(sK12(cons(sK57,sK56),sK56),sK56) = cons(sK57,sK56) )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_207790,c_66]) ).
tcf(c_208138,plain,
app(sK12(cons(sK57,sK56),sK56),sK56) = cons(sK57,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_208137,c_12924,c_207789]) ).
tcf(c_208139,plain,
( ( cons(sK57,sK56) = sK56 )
| ~ rearsegP(sK56,cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208136,c_12924,c_207789]) ).
tcf(c_208210,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK56),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_207791,c_173]) ).
tcf(c_208211,plain,
( ( cons(sK57,sK56) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK57,sK56))
| ~ frontsegP(iPr_def_10,cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_207791,c_174]) ).
tcf(c_208212,plain,
( ( app(iPr_def_10,sK11(cons(sK57,sK56),iPr_def_10)) = cons(sK57,sK56) )
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_207791,c_63]) ).
tcf(c_208214,plain,
app(iPr_def_10,sK11(cons(sK57,sK56),iPr_def_10)) = cons(sK57,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_208212,c_173031,c_207789]) ).
tcf(c_208215,plain,
( ( cons(sK57,sK56) = iPr_def_10 )
| ~ frontsegP(iPr_def_10,cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208211,c_173031,c_207789]) ).
tcf(c_208225,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_207800,c_57]) ).
tcf(c_208227,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_208225,c_207789]) ).
tcf(c_208237,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_207804,c_183]) ).
tcf(c_208238,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_207804,c_184]) ).
tcf(c_208239,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_207804,c_66]) ).
tcf(c_208240,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_208239,c_207789]) ).
tcf(c_208244,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ rearsegP(X0,cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208238,c_207789]) ).
tcf(c_208249,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_208237,c_207789]) ).
tcf(c_208265,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,sK56),X0),cons(X0,sK9(cons(sK57,sK56),X0))) = cons(sK57,sK56) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_207808,c_57]) ).
tcf(c_208266,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ( X0 = sK57 )
| ~ ssList(sK56)
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_207808,c_170]) ).
tcf(c_208268,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,sK56),X0),cons(X0,sK9(cons(sK57,sK56),X0))) = cons(sK57,sK56) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208265,c_207789]) ).
tcf(c_208278,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,sK56),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_207812,c_173]) ).
tcf(c_208279,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ ssList(cons(sK57,sK56))
| ~ frontsegP(X0,cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_207812,c_174]) ).
tcf(c_208280,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,sK56),X0)) = cons(sK57,sK56) )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_207812,c_63]) ).
tcf(c_208281,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(sK56)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_207812,c_178]) ).
tcf(c_208282,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK56,X1)
| ~ ssList(sK56)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_207812,c_179]) ).
tcf(c_208284,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,sK56),X0)) = cons(sK57,sK56) )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208280,c_207789]) ).
tcf(c_208288,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ frontsegP(X0,cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208279,c_207789]) ).
tcf(c_208293,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,sK56),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ frontsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208278,c_207789]) ).
tcf(c_208299,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_208282,c_12924,c_12925]) ).
tcf(c_208400,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_208138,c_67]) ).
tcf(c_208403,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_208138,c_167]) ).
tcf(c_208406,plain,
( frontsegP(cons(sK57,sK56),sK12(cons(sK57,sK56),sK56))
| ~ ssList(sK56)
| ~ ssList(sK12(cons(sK57,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_208138,c_378]) ).
tcf(c_208409,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_208138,c_225]) ).
tcf(c_208410,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_208138,c_226]) ).
tcf(c_208411,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_208138,c_176]) ).
tcf(c_208412,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_208138,c_165]) ).
tcf(c_208413,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_208138,c_193]) ).
tcf(c_208414,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_208138,c_186]) ).
tcf(c_208415,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_208138,c_166]) ).
tcf(c_208417,plain,
( frontsegP(cons(sK57,sK56),sK12(cons(sK57,sK56),sK56))
| ~ ssList(sK12(cons(sK57,sK56),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208406,c_12924]) ).
tcf(c_208422,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_208412,c_12924]) ).
tcf(c_208427,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_208411,c_12924]) ).
tcf(c_208433,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_208403,c_12924]) ).
tcf(c_208439,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_208410,c_12924]) ).
tcf(c_208444,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_208409,c_12924]) ).
tcf(c_208449,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_208400,c_208138]) ).
tcf(c_208450,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_208449,c_12924]) ).
tcf(c_208455,plain,
~ rearsegP(sK56,cons(sK57,sK56)),
inference(global_subsumption_just,[status(thm)],[c_208139,c_49787,c_50060]) ).
tcf(c_208463,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_175900,c_223]) ).
tcf(c_208464,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_175900,c_212]) ).
tcf(c_208465,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_175900,c_206]) ).
tcf(c_208492,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ~ frontsegP(sK12(sK56,nil),X0) ),
inference(superposition,[status(thm)],[c_178249,c_173]) ).
tcf(c_208493,plain,
( ( sK12(sK56,nil) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK12(sK56,nil))
| ~ frontsegP(sK12(sK56,nil),sK56) ),
inference(superposition,[status(thm)],[c_178249,c_174]) ).
tcf(c_208494,plain,
( ( app(sK12(sK56,nil),sK11(sK56,sK12(sK56,nil))) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK12(sK56,nil)) ),
inference(superposition,[status(thm)],[c_178249,c_63]) ).
tcf(c_208495,plain,
( ( app(sK12(sK56,nil),sK11(sK56,sK12(sK56,nil))) = sK56 )
| ~ ssList(sK12(sK56,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208494,c_12924]) ).
tcf(c_208504,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ~ frontsegP(sK12(sK59,nil),X0) ),
inference(superposition,[status(thm)],[c_178268,c_173]) ).
tcf(c_208505,plain,
( ( sK12(sK59,nil) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK12(sK59,nil))
| ~ frontsegP(sK12(sK59,nil),sK59) ),
inference(superposition,[status(thm)],[c_178268,c_174]) ).
tcf(c_208506,plain,
( ( app(sK12(sK59,nil),sK11(sK59,sK12(sK59,nil))) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK12(sK59,nil)) ),
inference(superposition,[status(thm)],[c_178268,c_63]) ).
tcf(c_208507,plain,
( frontsegP(iPr_def_11,sK12(sK59,nil))
| ~ ssList(sK12(sK59,nil)) ),
inference(superposition,[status(thm)],[c_178268,c_178547]) ).
tcf(c_208510,plain,
( ( app(sK12(sK59,nil),sK11(sK59,sK12(sK59,nil))) = sK59 )
| ~ ssList(sK12(sK59,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208506,c_12926]) ).
tcf(c_208519,plain,
! [X0: $i] :
( frontsegP(sK60,X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(sK60,nil))
| ~ frontsegP(sK12(sK60,nil),X0) ),
inference(superposition,[status(thm)],[c_178287,c_173]) ).
tcf(c_208520,plain,
( ( sK12(sK60,nil) = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK12(sK60,nil))
| ~ frontsegP(sK12(sK60,nil),sK60) ),
inference(superposition,[status(thm)],[c_178287,c_174]) ).
tcf(c_208521,plain,
( ( app(sK12(sK60,nil),sK11(sK60,sK12(sK60,nil))) = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK12(sK60,nil)) ),
inference(superposition,[status(thm)],[c_178287,c_63]) ).
tcf(c_208522,plain,
( ( app(sK12(sK60,nil),sK11(sK60,sK12(sK60,nil))) = sK60 )
| ~ ssList(sK12(sK60,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208521,c_12927]) ).
tcf(c_208527,plain,
frontsegP(cons(sK57,iPr_def_12),nil),
inference(global_subsumption_just,[status(thm)],[c_178361,c_22090,c_86120]) ).
tcf(c_208530,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_208527,c_174]) ).
tcf(c_208531,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_208527,c_63]) ).
tcf(c_208532,plain,
( ( app(nil,sK11(cons(sK57,iPr_def_12),nil)) = cons(sK57,iPr_def_12) )
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208531,c_141]) ).
tcf(c_208535,plain,
( ( cons(sK57,iPr_def_12) = nil )
| ~ ssList(cons(sK57,iPr_def_12))
| ~ frontsegP(nil,cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208530,c_141]) ).
tcf(c_208541,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,cons(sK57,sK60)) = nil )
| ( cons(sK57,cons(sK57,sK60)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,cons(sK57,sK60)))
| ( hd(X0) != sK57 )
| ( tl(cons(sK57,cons(sK57,sK60))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_199149,c_223]) ).
tcf(c_208542,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK57,cons(sK57,sK60))))
| ( cons(sK57,cons(sK57,sK60)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(cons(sK57,cons(sK57,sK60)))
| ~ ssList(cons(sK57,cons(sK57,sK60))) ),
inference(superposition,[status(thm)],[c_199149,c_212]) ).
tcf(c_208543,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK57,cons(sK57,sK60))))
| ( cons(sK57,cons(sK57,sK60)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(cons(sK57,cons(sK57,sK60)))
| ~ ssList(cons(sK57,cons(sK57,sK60))) ),
inference(superposition,[status(thm)],[c_199149,c_206]) ).
tcf(c_208556,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,cons(sK57,sK60)) = nil )
| ( cons(sK57,cons(sK57,sK60)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,cons(sK57,sK60)))
| ( hd(X0) != sK57 )
| ( cons(sK57,sK60) != tl(X0) ) ),
inference(light_normalisation,[status(thm)],[c_208541,c_199148]) ).
tcf(c_208566,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,cons(sK57,sK60)) = nil )
| ( cons(sK6,cons(sK57,sK60)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,cons(sK57,sK60)))
| ( hd(X0) != sK6 )
| ( tl(cons(sK6,cons(sK57,sK60))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_199881,c_223]) ).
tcf(c_208567,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK6,cons(sK57,sK60))))
| ( cons(sK6,cons(sK57,sK60)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK6)
| ~ strictorderedP(cons(sK6,cons(sK57,sK60)))
| ~ ssList(cons(sK6,cons(sK57,sK60))) ),
inference(superposition,[status(thm)],[c_199881,c_212]) ).
tcf(c_208568,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK6,cons(sK57,sK60))))
| ( cons(sK6,cons(sK57,sK60)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK6)
| ~ totalorderedP(cons(sK6,cons(sK57,sK60)))
| ~ ssList(cons(sK6,cons(sK57,sK60))) ),
inference(superposition,[status(thm)],[c_199881,c_206]) ).
tcf(c_208581,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,cons(sK57,sK60)) = nil )
| ( cons(sK6,cons(sK57,sK60)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,cons(sK57,sK60)))
| ( hd(X0) != sK6 )
| ( cons(sK57,sK60) != tl(X0) ) ),
inference(light_normalisation,[status(thm)],[c_208566,c_203578]) ).
tcf(c_208591,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,cons(sK57,sK60)) = nil )
| ( cons(sK7,cons(sK57,sK60)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,cons(sK57,sK60)))
| ( hd(X0) != sK7 )
| ( tl(cons(sK7,cons(sK57,sK60))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_200886,c_223]) ).
tcf(c_208592,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK7,cons(sK57,sK60))))
| ( cons(sK7,cons(sK57,sK60)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK7)
| ~ strictorderedP(cons(sK7,cons(sK57,sK60)))
| ~ ssList(cons(sK7,cons(sK57,sK60))) ),
inference(superposition,[status(thm)],[c_200886,c_212]) ).
tcf(c_208593,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK7,cons(sK57,sK60))))
| ( cons(sK7,cons(sK57,sK60)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK7)
| ~ totalorderedP(cons(sK7,cons(sK57,sK60)))
| ~ ssList(cons(sK7,cons(sK57,sK60))) ),
inference(superposition,[status(thm)],[c_200886,c_206]) ).
tcf(c_208606,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,cons(sK57,sK60)) = nil )
| ( cons(sK7,cons(sK57,sK60)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,cons(sK57,sK60)))
| ( hd(X0) != sK7 )
| ( cons(sK57,sK60) != tl(X0) ) ),
inference(light_normalisation,[status(thm)],[c_208591,c_204719]) ).
tcf(c_208644,plain,
~ rearsegP(sK60,cons(sK57,app(sK60,sK60))),
inference(global_subsumption_just,[status(thm)],[c_199653,c_43186,c_44373,c_44383,c_44920]) ).
tcf(c_208646,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK59,sK60)),X0),sK60)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60))
| ~ ssList(app(app(sK12(cons(sK57,app(sK59,sK60)),sK60),sK60),X0)) ),
inference(superposition,[status(thm)],[c_199736,c_67]) ).
tcf(c_208649,plain,
! [X0: $i] :
( memberP(sK60,X0)
| memberP(sK12(cons(sK57,app(sK59,sK60)),sK60),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK59,sK60)),X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60)) ),
inference(superposition,[status(thm)],[c_199736,c_167]) ).
tcf(c_208650,plain,
( ( sK12(cons(sK57,app(sK59,sK60)),sK60) = nil )
| ~ ssList(sK60)
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60))
| ( cons(sK57,app(sK59,sK60)) != nil ) ),
inference(superposition,[status(thm)],[c_199736,c_231]) ).
tcf(c_208651,plain,
( ( nil = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60))
| ( cons(sK57,app(sK59,sK60)) != nil ) ),
inference(superposition,[status(thm)],[c_199736,c_230]) ).
tcf(c_208652,plain,
( frontsegP(cons(sK57,app(sK59,sK60)),sK12(cons(sK57,app(sK59,sK60)),sK60))
| ~ ssList(sK60)
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60)) ),
inference(superposition,[status(thm)],[c_199736,c_378]) ).
tcf(c_208655,plain,
! [X0: $i] :
( ( sK12(cons(sK57,app(sK59,sK60)),sK60) = X0 )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60))
| ( cons(sK57,app(sK59,sK60)) != app(X0,sK60) ) ),
inference(superposition,[status(thm)],[c_199736,c_225]) ).
tcf(c_208656,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60))
| ( app(sK12(cons(sK57,app(sK59,sK60)),sK60),X0) != cons(sK57,app(sK59,sK60)) ) ),
inference(superposition,[status(thm)],[c_199736,c_226]) ).
tcf(c_208657,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK59,sK60)),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60))
| ~ frontsegP(sK12(cons(sK57,app(sK59,sK60)),sK60),X0) ),
inference(superposition,[status(thm)],[c_199736,c_176]) ).
tcf(c_208658,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK60)),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60))
| ~ memberP(sK12(cons(sK57,app(sK59,sK60)),sK60),X0) ),
inference(superposition,[status(thm)],[c_199736,c_165]) ).
tcf(c_208659,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK59,sK60)),X1),X0)
| ~ ssList(sK60)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60)) ),
inference(superposition,[status(thm)],[c_199736,c_193]) ).
tcf(c_208660,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK60)),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60)) ),
inference(superposition,[status(thm)],[c_199736,c_186]) ).
tcf(c_208661,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK60)),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60)) ),
inference(superposition,[status(thm)],[c_199736,c_166]) ).
tcf(c_208662,plain,
( ( sK12(cons(sK57,app(sK59,sK60)),sK60) = iPr_def_10 )
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60))
| ( cons(sK57,app(sK59,sK60)) != cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_199736,c_199114]) ).
tcf(c_208663,plain,
( ( sK12(cons(sK57,app(sK59,sK60)),sK60) = iPr_def_12 )
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60))
| ( cons(sK57,app(sK59,sK60)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_199736,c_186318]) ).
tcf(c_208664,plain,
( ( sK12(cons(sK57,app(sK59,sK60)),sK60) = nil )
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60))
| ( cons(sK57,app(sK59,sK60)) != sK60 ) ),
inference(superposition,[status(thm)],[c_199736,c_186310]) ).
tcf(c_208665,plain,
( frontsegP(cons(sK57,app(sK59,sK60)),sK12(cons(sK57,app(sK59,sK60)),sK60))
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208652,c_12927]) ).
tcf(c_208668,plain,
( ( nil = sK60 )
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60))
| ( cons(sK57,app(sK59,sK60)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208651,c_12927]) ).
tcf(c_208672,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK60)),X0)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208661,c_12927]) ).
tcf(c_208687,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK59,sK60)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208659,c_12927]) ).
tcf(c_208693,plain,
( ( sK12(cons(sK57,app(sK59,sK60)),sK60) = nil )
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60))
| ( cons(sK57,app(sK59,sK60)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208650,c_12927]) ).
tcf(c_208697,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK60)),X0)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60))
| ~ memberP(sK12(cons(sK57,app(sK59,sK60)),sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208658,c_12927]) ).
tcf(c_208702,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK59,sK60)),X0)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60))
| ~ frontsegP(sK12(cons(sK57,app(sK59,sK60)),sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208657,c_12927]) ).
tcf(c_208707,plain,
! [X0: $i] :
( memberP(sK60,X0)
| memberP(sK12(cons(sK57,app(sK59,sK60)),sK60),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK59,sK60)),X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208649,c_12927]) ).
tcf(c_208713,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60))
| ( app(sK12(cons(sK57,app(sK59,sK60)),sK60),X0) != cons(sK57,app(sK59,sK60)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208656,c_12927]) ).
tcf(c_208718,plain,
! [X0: $i] :
( ( sK12(cons(sK57,app(sK59,sK60)),sK60) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60))
| ( cons(sK57,app(sK59,sK60)) != app(X0,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208655,c_12927]) ).
tcf(c_208723,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK59,sK60)),X0),sK60)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60))
| ~ ssList(app(cons(sK57,app(sK59,sK60)),X0)) ),
inference(light_normalisation,[status(thm)],[c_208646,c_199736]) ).
tcf(c_208724,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK59,sK60)),X0),sK60)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60))
| ~ ssList(app(cons(sK57,app(sK59,sK60)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208723,c_12927]) ).
tcf(c_208768,plain,
~ rearsegP(sK60,cons(sK57,app(sK59,sK60))),
inference(global_subsumption_just,[status(thm)],[c_199737,c_43785,c_43784,c_44936,c_45941,c_45948]) ).
tcf(c_208774,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK60),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK60))
| ~ ssList(sK12(cons(sK57,sK60),sK60))
| ~ frontsegP(sK12(cons(sK57,sK60),sK60),X0) ),
inference(superposition,[status(thm)],[c_200431,c_173]) ).
tcf(c_208775,plain,
( ( sK12(cons(sK57,sK60),sK60) = cons(sK57,sK60) )
| ~ ssList(cons(sK57,sK60))
| ~ ssList(sK12(cons(sK57,sK60),sK60))
| ~ frontsegP(sK12(cons(sK57,sK60),sK60),cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_200431,c_174]) ).
tcf(c_208776,plain,
( ( app(sK12(cons(sK57,sK60),sK60),sK11(cons(sK57,sK60),sK12(cons(sK57,sK60),sK60))) = cons(sK57,sK60) )
| ~ ssList(cons(sK57,sK60))
| ~ ssList(sK12(cons(sK57,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_200431,c_63]) ).
tcf(c_208778,plain,
( ( app(sK12(cons(sK57,sK60),sK60),sK11(cons(sK57,sK60),sK12(cons(sK57,sK60),sK60))) = cons(sK57,sK60) )
| ~ ssList(sK12(cons(sK57,sK60),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208776,c_199078]) ).
tcf(c_208781,plain,
( ( sK12(cons(sK57,sK60),sK60) = cons(sK57,sK60) )
| ~ ssList(sK12(cons(sK57,sK60),sK60))
| ~ frontsegP(sK12(cons(sK57,sK60),sK60),cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208775,c_199078]) ).
tcf(c_208972,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK56,sK60)),X0),sK60)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60))
| ~ ssList(app(app(sK12(cons(sK57,app(sK56,sK60)),sK60),sK60),X0)) ),
inference(superposition,[status(thm)],[c_200483,c_67]) ).
tcf(c_208975,plain,
! [X0: $i] :
( memberP(sK60,X0)
| memberP(sK12(cons(sK57,app(sK56,sK60)),sK60),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK56,sK60)),X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60)) ),
inference(superposition,[status(thm)],[c_200483,c_167]) ).
tcf(c_208976,plain,
( ( sK12(cons(sK57,app(sK56,sK60)),sK60) = nil )
| ~ ssList(sK60)
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60))
| ( cons(sK57,app(sK56,sK60)) != nil ) ),
inference(superposition,[status(thm)],[c_200483,c_231]) ).
tcf(c_208977,plain,
( ( nil = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60))
| ( cons(sK57,app(sK56,sK60)) != nil ) ),
inference(superposition,[status(thm)],[c_200483,c_230]) ).
tcf(c_208978,plain,
( frontsegP(cons(sK57,app(sK56,sK60)),sK12(cons(sK57,app(sK56,sK60)),sK60))
| ~ ssList(sK60)
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60)) ),
inference(superposition,[status(thm)],[c_200483,c_378]) ).
tcf(c_208981,plain,
! [X0: $i] :
( ( sK12(cons(sK57,app(sK56,sK60)),sK60) = X0 )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60))
| ( cons(sK57,app(sK56,sK60)) != app(X0,sK60) ) ),
inference(superposition,[status(thm)],[c_200483,c_225]) ).
tcf(c_208982,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60))
| ( app(sK12(cons(sK57,app(sK56,sK60)),sK60),X0) != cons(sK57,app(sK56,sK60)) ) ),
inference(superposition,[status(thm)],[c_200483,c_226]) ).
tcf(c_208983,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK56,sK60)),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60))
| ~ frontsegP(sK12(cons(sK57,app(sK56,sK60)),sK60),X0) ),
inference(superposition,[status(thm)],[c_200483,c_176]) ).
tcf(c_208984,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK60)),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60))
| ~ memberP(sK12(cons(sK57,app(sK56,sK60)),sK60),X0) ),
inference(superposition,[status(thm)],[c_200483,c_165]) ).
tcf(c_208985,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK56,sK60)),X1),X0)
| ~ ssList(sK60)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60)) ),
inference(superposition,[status(thm)],[c_200483,c_193]) ).
tcf(c_208986,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK60)),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60)) ),
inference(superposition,[status(thm)],[c_200483,c_186]) ).
tcf(c_208987,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK60)),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60)) ),
inference(superposition,[status(thm)],[c_200483,c_166]) ).
tcf(c_208988,plain,
( ( sK12(cons(sK57,app(sK56,sK60)),sK60) = iPr_def_10 )
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60))
| ( cons(sK57,app(sK56,sK60)) != cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_200483,c_199114]) ).
tcf(c_208989,plain,
( ( sK12(cons(sK57,app(sK56,sK60)),sK60) = iPr_def_12 )
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60))
| ( cons(sK57,app(sK56,sK60)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_200483,c_186318]) ).
tcf(c_208990,plain,
( ( sK12(cons(sK57,app(sK56,sK60)),sK60) = nil )
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60))
| ( cons(sK57,app(sK56,sK60)) != sK60 ) ),
inference(superposition,[status(thm)],[c_200483,c_186310]) ).
tcf(c_208991,plain,
( frontsegP(cons(sK57,app(sK56,sK60)),sK12(cons(sK57,app(sK56,sK60)),sK60))
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208978,c_12927]) ).
tcf(c_208994,plain,
( ( nil = sK60 )
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60))
| ( cons(sK57,app(sK56,sK60)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208977,c_12927]) ).
tcf(c_208998,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK60)),X0)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208987,c_12927]) ).
tcf(c_209013,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK56,sK60)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208985,c_12927]) ).
tcf(c_209019,plain,
( ( sK12(cons(sK57,app(sK56,sK60)),sK60) = nil )
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60))
| ( cons(sK57,app(sK56,sK60)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208976,c_12927]) ).
tcf(c_209023,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK60)),X0)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60))
| ~ memberP(sK12(cons(sK57,app(sK56,sK60)),sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208984,c_12927]) ).
tcf(c_209028,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK56,sK60)),X0)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60))
| ~ frontsegP(sK12(cons(sK57,app(sK56,sK60)),sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208983,c_12927]) ).
tcf(c_209033,plain,
! [X0: $i] :
( memberP(sK60,X0)
| memberP(sK12(cons(sK57,app(sK56,sK60)),sK60),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK56,sK60)),X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208975,c_12927]) ).
tcf(c_209039,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60))
| ( app(sK12(cons(sK57,app(sK56,sK60)),sK60),X0) != cons(sK57,app(sK56,sK60)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208982,c_12927]) ).
tcf(c_209044,plain,
! [X0: $i] :
( ( sK12(cons(sK57,app(sK56,sK60)),sK60) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60))
| ( cons(sK57,app(sK56,sK60)) != app(X0,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208981,c_12927]) ).
tcf(c_209049,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK56,sK60)),X0),sK60)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60))
| ~ ssList(app(cons(sK57,app(sK56,sK60)),X0)) ),
inference(light_normalisation,[status(thm)],[c_208972,c_200483]) ).
tcf(c_209050,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK56,sK60)),X0),sK60)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60))
| ~ ssList(app(cons(sK57,app(sK56,sK60)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209049,c_12927]) ).
tcf(c_209077,plain,
! [X0: $i] :
( segmentP(app(sK49(tl(sK56)),X0),nil)
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK56)))
| ~ ssList(app(app(sK49(tl(sK56)),nil),X0)) ),
inference(superposition,[status(thm)],[c_175901,c_67]) ).
tcf(c_209083,plain,
( frontsegP(sK49(tl(sK56)),sK49(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(nil)
| ~ ssList(sK49(tl(sK56))) ),
inference(superposition,[status(thm)],[c_175901,c_378]) ).
tcf(c_209084,plain,
( rearsegP(sK49(tl(sK56)),nil)
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(nil)
| ~ ssList(sK49(tl(sK56))) ),
inference(superposition,[status(thm)],[c_175901,c_375]) ).
tcf(c_209086,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( sK49(tl(sK56)) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK56)))
| ( app(X0,nil) != sK49(tl(sK56)) ) ),
inference(superposition,[status(thm)],[c_175901,c_225]) ).
tcf(c_209087,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( tl(sK56) = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK56)))
| ( app(sK49(tl(sK56)),X0) != sK49(tl(sK56)) ) ),
inference(superposition,[status(thm)],[c_175901,c_226]) ).
tcf(c_209090,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK49(tl(sK56)),X1),X0)
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK49(tl(sK56))) ),
inference(superposition,[status(thm)],[c_175901,c_193]) ).
tcf(c_209091,plain,
! [X0: $i] :
( rearsegP(sK49(tl(sK56)),X0)
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK49(tl(sK56))) ),
inference(superposition,[status(thm)],[c_175901,c_186]) ).
tcf(c_209096,plain,
( rearsegP(sK49(tl(sK56)),nil)
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(sK49(tl(sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209084,c_141]) ).
tcf(c_209101,plain,
( frontsegP(sK49(tl(sK56)),sK49(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(sK49(tl(sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209083,c_141]) ).
tcf(c_209106,plain,
! [X0: $i] :
( rearsegP(sK49(tl(sK56)),X0)
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK49(tl(sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209091,c_141]) ).
tcf(c_209113,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK49(tl(sK56)),X1),X0)
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK49(tl(sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209090,c_141]) ).
tcf(c_209121,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( tl(sK56) = nil )
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK56)))
| ( app(sK49(tl(sK56)),X0) != sK49(tl(sK56)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209087,c_141]) ).
tcf(c_209128,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( sK49(tl(sK56)) = X0 )
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK56)))
| ( app(X0,nil) != sK49(tl(sK56)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209086,c_141]) ).
tcf(c_209135,plain,
! [X0: $i] :
( segmentP(app(sK49(tl(sK56)),X0),nil)
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK56)))
| ~ ssList(app(app(sK49(tl(sK56)),nil),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209077,c_141]) ).
tcf(c_209251,plain,
~ rearsegP(sK60,cons(sK57,app(sK56,sK60))),
inference(global_subsumption_just,[status(thm)],[c_200484,c_44044,c_44043,c_44953,c_49784,c_49791]) ).
tcf(c_209259,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK60,sK59)),X0),cons(X0,sK9(cons(sK57,app(sK60,sK59)),X0))) = cons(sK57,app(sK60,sK59)) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK60),X0)
| ~ ssList(cons(sK57,app(sK60,sK59))) ),
inference(superposition,[status(thm)],[c_201801,c_57]) ).
tcf(c_209260,plain,
! [X0: $i] :
( memberP(app(sK60,sK59),X0)
| ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ ssList(app(sK60,sK59))
| ~ memberP(cons(sK57,sK60),X0) ),
inference(superposition,[status(thm)],[c_201801,c_170]) ).
tcf(c_209261,plain,
! [X0: $i] :
( memberP(app(sK60,sK59),X0)
| ( X0 = sK57 )
| ~ ssItem(X0)
| ~ ssList(app(sK60,sK59))
| ~ memberP(cons(sK57,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209260,c_12925]) ).
tcf(c_209267,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK60,sK59)),X0),cons(X0,sK9(cons(sK57,app(sK60,sK59)),X0))) = cons(sK57,app(sK60,sK59)) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209259,c_201785]) ).
tcf(c_209280,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,app(sK60,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ frontsegP(cons(sK57,sK60),X0)
| ~ ssList(cons(sK57,app(sK60,sK59))) ),
inference(superposition,[status(thm)],[c_201805,c_173]) ).
tcf(c_209281,plain,
! [X0: $i] :
( ( cons(sK57,app(sK60,sK59)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK60),X0)
| ~ ssList(cons(sK57,app(sK60,sK59)))
| ~ frontsegP(X0,cons(sK57,app(sK60,sK59))) ),
inference(superposition,[status(thm)],[c_201805,c_174]) ).
tcf(c_209282,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,app(sK60,sK59)),X0)) = cons(sK57,app(sK60,sK59)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK60),X0)
| ~ ssList(cons(sK57,app(sK60,sK59))) ),
inference(superposition,[status(thm)],[c_201805,c_63]) ).
tcf(c_209283,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK60,sK59))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK60),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_201805,c_178]) ).
tcf(c_209284,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK60,sK59),X1)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK60,sK59))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK60),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_201805,c_179]) ).
tcf(c_209286,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,app(sK60,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ frontsegP(cons(sK57,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209280,c_201785]) ).
tcf(c_209292,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK60,sK59))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK60),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209283,c_12925]) ).
tcf(c_209299,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK60,sK59),X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK60,sK59))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK60),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209284,c_12925]) ).
tcf(c_209306,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,app(sK60,sK59)),X0)) = cons(sK57,app(sK60,sK59)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209282,c_201785]) ).
tcf(c_209310,plain,
! [X0: $i] :
( ( cons(sK57,app(sK60,sK59)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK60),X0)
| ~ frontsegP(X0,cons(sK57,app(sK60,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209281,c_201785]) ).
tcf(c_209402,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK60,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK59)),sK59))
| ~ ssList(app(app(sK12(cons(sK57,app(sK60,sK59)),sK59),sK59),X0)) ),
inference(superposition,[status(thm)],[c_202176,c_67]) ).
tcf(c_209405,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK12(cons(sK57,app(sK60,sK59)),sK59),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK60,sK59)),X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK59)),sK59)) ),
inference(superposition,[status(thm)],[c_202176,c_167]) ).
tcf(c_209408,plain,
( frontsegP(cons(sK57,app(sK60,sK59)),sK12(cons(sK57,app(sK60,sK59)),sK59))
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK57,app(sK60,sK59)),sK59)) ),
inference(superposition,[status(thm)],[c_202176,c_378]) ).
tcf(c_209411,plain,
! [X0: $i] :
( ( sK12(cons(sK57,app(sK60,sK59)),sK59) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK59)),sK59))
| ( cons(sK57,app(sK60,sK59)) != app(X0,sK59) ) ),
inference(superposition,[status(thm)],[c_202176,c_225]) ).
tcf(c_209412,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK59)),sK59))
| ( app(sK12(cons(sK57,app(sK60,sK59)),sK59),X0) != cons(sK57,app(sK60,sK59)) ) ),
inference(superposition,[status(thm)],[c_202176,c_226]) ).
tcf(c_209413,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK60,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK59)),sK59))
| ~ frontsegP(sK12(cons(sK57,app(sK60,sK59)),sK59),X0) ),
inference(superposition,[status(thm)],[c_202176,c_176]) ).
tcf(c_209414,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK60,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK59)),sK59))
| ~ memberP(sK12(cons(sK57,app(sK60,sK59)),sK59),X0) ),
inference(superposition,[status(thm)],[c_202176,c_165]) ).
tcf(c_209415,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK60,sK59)),X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK59)),sK59)) ),
inference(superposition,[status(thm)],[c_202176,c_193]) ).
tcf(c_209416,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK60,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK59)),sK59)) ),
inference(superposition,[status(thm)],[c_202176,c_186]) ).
tcf(c_209417,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK60,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK59)),sK59)) ),
inference(superposition,[status(thm)],[c_202176,c_166]) ).
tcf(c_209419,plain,
( frontsegP(cons(sK57,app(sK60,sK59)),sK12(cons(sK57,app(sK60,sK59)),sK59))
| ~ ssList(sK12(cons(sK57,app(sK60,sK59)),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209408,c_12926]) ).
tcf(c_209425,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK60,sK59)),X0)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK59)),sK59))
| ~ memberP(sK12(cons(sK57,app(sK60,sK59)),sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209414,c_12926]) ).
tcf(c_209430,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK60,sK59)),X0)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK59)),sK59))
| ~ frontsegP(sK12(cons(sK57,app(sK60,sK59)),sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209413,c_12926]) ).
tcf(c_209435,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK12(cons(sK57,app(sK60,sK59)),sK59),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK60,sK59)),X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK59)),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209405,c_12926]) ).
tcf(c_209441,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK59)),sK59))
| ( app(sK12(cons(sK57,app(sK60,sK59)),sK59),X0) != cons(sK57,app(sK60,sK59)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209412,c_12926]) ).
tcf(c_209446,plain,
! [X0: $i] :
( ( sK12(cons(sK57,app(sK60,sK59)),sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK59)),sK59))
| ( cons(sK57,app(sK60,sK59)) != app(X0,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209411,c_12926]) ).
tcf(c_209451,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK60,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK59)),sK59))
| ~ ssList(app(cons(sK57,app(sK60,sK59)),X0)) ),
inference(light_normalisation,[status(thm)],[c_209402,c_202176]) ).
tcf(c_209452,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK60,sK59)),X0),sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK59)),sK59))
| ~ ssList(app(cons(sK57,app(sK60,sK59)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209451,c_12926]) ).
tcf(c_209457,plain,
~ rearsegP(sK59,cons(sK57,app(sK60,sK59))),
inference(global_subsumption_just,[status(thm)],[c_202177,c_45658,c_45893]) ).
tcf(c_209459,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_203374,c_67]) ).
tcf(c_209462,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_203374,c_167]) ).
tcf(c_209463,plain,
( ( sK12(cons(sK57,app(sK59,sK59)),sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59))
| ( cons(sK57,app(sK59,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_203374,c_231]) ).
tcf(c_209464,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59))
| ( cons(sK57,app(sK59,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_203374,c_230]) ).
tcf(c_209465,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_203374,c_378]) ).
tcf(c_209468,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_203374,c_225]) ).
tcf(c_209469,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_203374,c_226]) ).
tcf(c_209470,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_203374,c_176]) ).
tcf(c_209471,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_203374,c_165]) ).
tcf(c_209472,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_203374,c_193]) ).
tcf(c_209473,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_203374,c_186]) ).
tcf(c_209474,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_203374,c_166]) ).
tcf(c_209475,plain,
( ( sK12(cons(sK57,app(sK59,sK59)),sK59) = nil )
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59))
| ( cons(sK57,app(sK59,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_203374,c_186306]) ).
tcf(c_209476,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_209465,c_12926]) ).
tcf(c_209479,plain,
( ( nil = sK59 )
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59))
| ( cons(sK57,app(sK59,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209464,c_12926]) ).
tcf(c_209483,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209474,c_12926]) ).
tcf(c_209492,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK59,sK59)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209472,c_12926]) ).
tcf(c_209498,plain,
( ( sK12(cons(sK57,app(sK59,sK59)),sK59) = nil )
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59))
| ( cons(sK57,app(sK59,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209463,c_12926]) ).
tcf(c_209502,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_209471,c_12926]) ).
tcf(c_209507,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_209470,c_12926]) ).
tcf(c_209512,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_209462,c_12926]) ).
tcf(c_209518,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_209469,c_12926]) ).
tcf(c_209523,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_209468,c_12926]) ).
tcf(c_209528,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_209459,c_203374]) ).
tcf(c_209529,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_209528,c_12926]) ).
tcf(c_209534,plain,
~ rearsegP(sK59,cons(sK57,app(sK59,sK59))),
inference(global_subsumption_just,[status(thm)],[c_203375,c_46480,c_46819]) ).
tcf(c_209536,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_203389,c_67]) ).
tcf(c_209539,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_203389,c_167]) ).
tcf(c_209540,plain,
( ( sK12(cons(sK57,app(sK56,sK59)),sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59))
| ( cons(sK57,app(sK56,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_203389,c_231]) ).
tcf(c_209541,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59))
| ( cons(sK57,app(sK56,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_203389,c_230]) ).
tcf(c_209542,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_203389,c_378]) ).
tcf(c_209545,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_203389,c_225]) ).
tcf(c_209546,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_203389,c_226]) ).
tcf(c_209547,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_203389,c_176]) ).
tcf(c_209548,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_203389,c_165]) ).
tcf(c_209549,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_203389,c_193]) ).
tcf(c_209550,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_203389,c_186]) ).
tcf(c_209551,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_203389,c_166]) ).
tcf(c_209552,plain,
( ( sK12(cons(sK57,app(sK56,sK59)),sK59) = nil )
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59))
| ( cons(sK57,app(sK56,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_203389,c_186306]) ).
tcf(c_209553,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_209542,c_12926]) ).
tcf(c_209556,plain,
( ( nil = sK59 )
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59))
| ( cons(sK57,app(sK56,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209541,c_12926]) ).
tcf(c_209560,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209551,c_12926]) ).
tcf(c_209569,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK56,sK59)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209549,c_12926]) ).
tcf(c_209575,plain,
( ( sK12(cons(sK57,app(sK56,sK59)),sK59) = nil )
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59))
| ( cons(sK57,app(sK56,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209540,c_12926]) ).
tcf(c_209579,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_209548,c_12926]) ).
tcf(c_209584,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_209547,c_12926]) ).
tcf(c_209589,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_209539,c_12926]) ).
tcf(c_209595,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_209546,c_12926]) ).
tcf(c_209600,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_209545,c_12926]) ).
tcf(c_209605,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_209536,c_203389]) ).
tcf(c_209606,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_209605,c_12926]) ).
tcf(c_209615,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,tl(sK56)),X0),nil)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK56)))
| ~ ssList(app(app(cons(sK57,tl(sK56)),nil),X0)) ),
inference(superposition,[status(thm)],[c_175903,c_67]) ).
tcf(c_209621,plain,
( frontsegP(cons(sK57,tl(sK56)),cons(sK57,tl(sK56)))
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(cons(sK57,tl(sK56))) ),
inference(superposition,[status(thm)],[c_175903,c_378]) ).
tcf(c_209622,plain,
( rearsegP(cons(sK57,tl(sK56)),nil)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(cons(sK57,tl(sK56))) ),
inference(superposition,[status(thm)],[c_175903,c_375]) ).
tcf(c_209624,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( cons(sK57,tl(sK56)) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK56)))
| ( cons(sK57,tl(sK56)) != app(X0,nil) ) ),
inference(superposition,[status(thm)],[c_175903,c_225]) ).
tcf(c_209625,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK56)))
| ( app(cons(sK57,tl(sK56)),X0) != cons(sK57,tl(sK56)) ) ),
inference(superposition,[status(thm)],[c_175903,c_226]) ).
tcf(c_209628,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,tl(sK56)),X1),X0)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK57,tl(sK56))) ),
inference(superposition,[status(thm)],[c_175903,c_193]) ).
tcf(c_209629,plain,
! [X0: $i] :
( rearsegP(cons(sK57,tl(sK56)),X0)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,tl(sK56))) ),
inference(superposition,[status(thm)],[c_175903,c_186]) ).
tcf(c_209634,plain,
( rearsegP(cons(sK57,tl(sK56)),nil)
| ( nil = sK56 )
| ~ ssList(cons(sK57,tl(sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209622,c_141]) ).
tcf(c_209638,plain,
( frontsegP(cons(sK57,tl(sK56)),cons(sK57,tl(sK56)))
| ( nil = sK56 )
| ~ ssList(cons(sK57,tl(sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209621,c_141]) ).
tcf(c_209642,plain,
! [X0: $i] :
( rearsegP(cons(sK57,tl(sK56)),X0)
| ( nil = sK56 )
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,tl(sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209629,c_141]) ).
tcf(c_209648,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,tl(sK56)),X1),X0)
| ( nil = sK56 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK57,tl(sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209628,c_141]) ).
tcf(c_209655,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK56)))
| ( app(cons(sK57,tl(sK56)),X0) != cons(sK57,tl(sK56)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209625,c_141]) ).
tcf(c_209661,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( cons(sK57,tl(sK56)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK56)))
| ( cons(sK57,tl(sK56)) != app(X0,nil) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209624,c_141]) ).
tcf(c_209667,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,tl(sK56)),X0),nil)
| ( nil = sK56 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK56)))
| ~ ssList(app(app(cons(sK57,tl(sK56)),nil),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209615,c_141]) ).
tcf(c_209681,plain,
( frontsegP(iPr_def_12,sK59)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_173981,c_178543]) ).
tcf(c_209684,plain,
frontsegP(iPr_def_12,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_209681,c_12926]) ).
tcf(c_209712,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0) ),
inference(superposition,[status(thm)],[c_209684,c_173]) ).
tcf(c_209713,plain,
( ( sK59 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ~ frontsegP(sK59,iPr_def_12) ),
inference(superposition,[status(thm)],[c_209684,c_174]) ).
tcf(c_209714,plain,
( ( app(sK59,sK11(iPr_def_12,sK59)) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_209684,c_63]) ).
tcf(c_209715,plain,
( frontsegP(iPr_def_13,sK59)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_209684,c_178539]) ).
tcf(c_209716,plain,
frontsegP(iPr_def_13,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_209715,c_12926]) ).
tcf(c_209717,plain,
app(sK59,sK11(iPr_def_12,sK59)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_209714,c_173203,c_12926]) ).
tcf(c_209718,plain,
( ( sK59 = iPr_def_12 )
| ~ frontsegP(sK59,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209713,c_173203,c_12926]) ).
tcf(c_209721,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209712,c_173203,c_12926]) ).
tcf(c_209751,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0) ),
inference(superposition,[status(thm)],[c_209716,c_173]) ).
tcf(c_209752,plain,
( ( sK59 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK59)
| ~ frontsegP(sK59,iPr_def_13) ),
inference(superposition,[status(thm)],[c_209716,c_174]) ).
tcf(c_209753,plain,
( ( app(sK59,sK11(iPr_def_13,sK59)) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_209716,c_63]) ).
tcf(c_209754,plain,
app(sK59,sK11(iPr_def_13,sK59)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_209753,c_172540,c_12926]) ).
tcf(c_209755,plain,
( ( sK59 = iPr_def_13 )
| ~ frontsegP(sK59,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209752,c_172540,c_12926]) ).
tcf(c_209758,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209751,c_172540,c_12926]) ).
tcf(c_209782,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),sK11(iPr_def_12,sK59))
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,sK59))
| ~ ssList(app(app(sK59,sK11(iPr_def_12,sK59)),X0)) ),
inference(superposition,[status(thm)],[c_209717,c_67]) ).
tcf(c_209785,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK11(iPr_def_12,sK59),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0)
| ~ ssList(sK11(iPr_def_12,sK59)) ),
inference(superposition,[status(thm)],[c_209717,c_167]) ).
tcf(c_209789,plain,
( rearsegP(iPr_def_12,sK11(iPr_def_12,sK59))
| ~ ssList(sK59)
| ~ ssList(sK11(iPr_def_12,sK59)) ),
inference(superposition,[status(thm)],[c_209717,c_375]) ).
tcf(c_209791,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,sK59))
| ( app(X0,sK11(iPr_def_12,sK59)) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_209717,c_225]) ).
tcf(c_209792,plain,
! [X0: $i] :
( ( sK11(iPr_def_12,sK59) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,sK59))
| ( app(sK59,X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_209717,c_226]) ).
tcf(c_209793,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(sK11(iPr_def_12,sK59)) ),
inference(superposition,[status(thm)],[c_209717,c_176]) ).
tcf(c_209794,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK11(iPr_def_12,sK59)) ),
inference(superposition,[status(thm)],[c_209717,c_165]) ).
tcf(c_209795,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,sK59))
| ~ segmentP(sK11(iPr_def_12,sK59),X0) ),
inference(superposition,[status(thm)],[c_209717,c_193]) ).
tcf(c_209796,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,sK59))
| ~ rearsegP(sK11(iPr_def_12,sK59),X0) ),
inference(superposition,[status(thm)],[c_209717,c_186]) ).
tcf(c_209797,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_12,sK59))
| ~ memberP(sK11(iPr_def_12,sK59),X0) ),
inference(superposition,[status(thm)],[c_209717,c_166]) ).
tcf(c_209799,plain,
( ( sK11(iPr_def_12,sK59) = nil )
| ~ ssList(sK11(iPr_def_12,sK59))
| ( sK59 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_209717,c_186947]) ).
tcf(c_209800,plain,
( segmentP(iPr_def_12,sK59)
| ~ ssList(sK11(iPr_def_12,sK59))
| ~ ssList(app(sK59,sK11(iPr_def_12,sK59))) ),
inference(superposition,[status(thm)],[c_209717,c_188126]) ).
tcf(c_209801,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK11(iPr_def_12,sK59)) ),
inference(superposition,[status(thm)],[c_209717,c_189077]) ).
tcf(c_209802,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(iPr_def_12,sK59)) ),
inference(superposition,[status(thm)],[c_209717,c_189057]) ).
tcf(c_209803,plain,
( rearsegP(iPr_def_12,sK11(iPr_def_12,sK59))
| ~ ssList(sK11(iPr_def_12,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209789,c_12926]) ).
tcf(c_209814,plain,
( segmentP(iPr_def_12,sK59)
| ~ ssList(iPr_def_12)
| ~ ssList(sK11(iPr_def_12,sK59)) ),
inference(light_normalisation,[status(thm)],[c_209800,c_209717]) ).
tcf(c_209815,plain,
( segmentP(iPr_def_12,sK59)
| ~ ssList(sK11(iPr_def_12,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209814,c_173203]) ).
tcf(c_209821,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK11(iPr_def_12,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209794,c_12926]) ).
tcf(c_209827,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_12,sK59))
| ~ memberP(sK11(iPr_def_12,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209797,c_12926]) ).
tcf(c_209832,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,sK59))
| ~ rearsegP(sK11(iPr_def_12,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209796,c_12926]) ).
tcf(c_209837,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK11(iPr_def_12,sK59),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0)
| ~ ssList(sK11(iPr_def_12,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209785,c_12926]) ).
tcf(c_209843,plain,
! [X0: $i] :
( ( sK11(iPr_def_12,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,sK59))
| ( app(sK59,X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209792,c_12926]) ).
tcf(c_209848,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,sK59))
| ( app(X0,sK11(iPr_def_12,sK59)) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209791,c_12926]) ).
tcf(c_209853,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,sK59))
| ~ segmentP(sK11(iPr_def_12,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209795,c_12926]) ).
tcf(c_209859,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),sK11(iPr_def_12,sK59))
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,sK59))
| ~ ssList(app(iPr_def_12,X0)) ),
inference(light_normalisation,[status(thm)],[c_209782,c_209717]) ).
tcf(c_209860,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),sK11(iPr_def_12,sK59))
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,sK59))
| ~ ssList(app(iPr_def_12,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209859,c_12926]) ).
tcf(c_210152,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sK11(iPr_def_13,sK59))
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,sK59))
| ~ ssList(app(app(sK59,sK11(iPr_def_13,sK59)),X0)) ),
inference(superposition,[status(thm)],[c_209754,c_67]) ).
tcf(c_210155,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK11(iPr_def_13,sK59),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0)
| ~ ssList(sK11(iPr_def_13,sK59)) ),
inference(superposition,[status(thm)],[c_209754,c_167]) ).
tcf(c_210159,plain,
( rearsegP(iPr_def_13,sK11(iPr_def_13,sK59))
| ~ ssList(sK59)
| ~ ssList(sK11(iPr_def_13,sK59)) ),
inference(superposition,[status(thm)],[c_209754,c_375]) ).
tcf(c_210161,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,sK59))
| ( app(X0,sK11(iPr_def_13,sK59)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_209754,c_225]) ).
tcf(c_210162,plain,
! [X0: $i] :
( ( sK11(iPr_def_13,sK59) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,sK59))
| ( app(sK59,X0) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_209754,c_226]) ).
tcf(c_210163,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(sK11(iPr_def_13,sK59)) ),
inference(superposition,[status(thm)],[c_209754,c_176]) ).
tcf(c_210164,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK11(iPr_def_13,sK59)) ),
inference(superposition,[status(thm)],[c_209754,c_165]) ).
tcf(c_210165,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,sK59))
| ~ segmentP(sK11(iPr_def_13,sK59),X0) ),
inference(superposition,[status(thm)],[c_209754,c_193]) ).
tcf(c_210166,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,sK59))
| ~ rearsegP(sK11(iPr_def_13,sK59),X0) ),
inference(superposition,[status(thm)],[c_209754,c_186]) ).
tcf(c_210167,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_13,sK59))
| ~ memberP(sK11(iPr_def_13,sK59),X0) ),
inference(superposition,[status(thm)],[c_209754,c_166]) ).
tcf(c_210168,plain,
( ( sK11(iPr_def_13,sK59) = iPr_def_10 )
| ~ ssList(sK11(iPr_def_13,sK59))
| ( iPr_def_11 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_209754,c_186983]) ).
tcf(c_210169,plain,
( ( sK11(iPr_def_13,sK59) = nil )
| ~ ssList(sK11(iPr_def_13,sK59))
| ( sK59 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_209754,c_186947]) ).
tcf(c_210170,plain,
( segmentP(iPr_def_13,sK59)
| ~ ssList(sK11(iPr_def_13,sK59))
| ~ ssList(app(sK59,sK11(iPr_def_13,sK59))) ),
inference(superposition,[status(thm)],[c_209754,c_188126]) ).
tcf(c_210171,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK11(iPr_def_13,sK59)) ),
inference(superposition,[status(thm)],[c_209754,c_189077]) ).
tcf(c_210173,plain,
( rearsegP(iPr_def_13,sK11(iPr_def_13,sK59))
| ~ ssList(sK11(iPr_def_13,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210159,c_12926]) ).
tcf(c_210180,plain,
( segmentP(iPr_def_13,sK59)
| ~ ssList(iPr_def_13)
| ~ ssList(sK11(iPr_def_13,sK59)) ),
inference(light_normalisation,[status(thm)],[c_210170,c_209754]) ).
tcf(c_210181,plain,
( segmentP(iPr_def_13,sK59)
| ~ ssList(sK11(iPr_def_13,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210180,c_172540]) ).
tcf(c_210190,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK11(iPr_def_13,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210164,c_12926]) ).
tcf(c_210196,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_13,sK59))
| ~ memberP(sK11(iPr_def_13,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210167,c_12926]) ).
tcf(c_210201,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,sK59))
| ~ rearsegP(sK11(iPr_def_13,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210166,c_12926]) ).
tcf(c_210206,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK11(iPr_def_13,sK59),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0)
| ~ ssList(sK11(iPr_def_13,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210155,c_12926]) ).
tcf(c_210212,plain,
! [X0: $i] :
( ( sK11(iPr_def_13,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,sK59))
| ( app(sK59,X0) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210162,c_12926]) ).
tcf(c_210217,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,sK59))
| ( app(X0,sK11(iPr_def_13,sK59)) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210161,c_12926]) ).
tcf(c_210222,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,sK59))
| ~ segmentP(sK11(iPr_def_13,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210165,c_12926]) ).
tcf(c_210228,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sK11(iPr_def_13,sK59))
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,sK59))
| ~ ssList(app(iPr_def_13,X0)) ),
inference(light_normalisation,[status(thm)],[c_210152,c_209754]) ).
tcf(c_210229,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sK11(iPr_def_13,sK59))
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,sK59))
| ~ ssList(app(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210228,c_12926]) ).
tcf(c_210349,plain,
( frontsegP(iPr_def_12,sK12(sK59,nil))
| ~ ssList(sK12(sK59,nil)) ),
inference(superposition,[status(thm)],[c_178268,c_209721]) ).
tcf(c_210362,plain,
( frontsegP(iPr_def_13,sK12(sK59,nil))
| ~ ssList(sK12(sK59,nil)) ),
inference(superposition,[status(thm)],[c_178268,c_209758]) ).
tcf(c_210369,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,sK59))
| ~ rearsegP(sK11(iPr_def_12,sK59),X0) ),
inference(superposition,[status(thm)],[c_209803,c_183]) ).
tcf(c_210370,plain,
( ( sK11(iPr_def_12,sK59) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK11(iPr_def_12,sK59))
| ~ rearsegP(sK11(iPr_def_12,sK59),iPr_def_12) ),
inference(superposition,[status(thm)],[c_209803,c_184]) ).
tcf(c_210371,plain,
( ( app(sK12(iPr_def_12,sK11(iPr_def_12,sK59)),sK11(iPr_def_12,sK59)) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK11(iPr_def_12,sK59)) ),
inference(superposition,[status(thm)],[c_209803,c_66]) ).
tcf(c_210372,plain,
( ( app(sK12(iPr_def_12,sK11(iPr_def_12,sK59)),sK11(iPr_def_12,sK59)) = iPr_def_12 )
| ~ ssList(sK11(iPr_def_12,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210371,c_173203]) ).
tcf(c_210375,plain,
( ( sK11(iPr_def_12,sK59) = iPr_def_12 )
| ~ ssList(sK11(iPr_def_12,sK59))
| ~ rearsegP(sK11(iPr_def_12,sK59),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210370,c_173203]) ).
tcf(c_210384,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,sK59))
| ~ rearsegP(sK11(iPr_def_13,sK59),X0) ),
inference(superposition,[status(thm)],[c_210173,c_183]) ).
tcf(c_210385,plain,
( ( sK11(iPr_def_13,sK59) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK11(iPr_def_13,sK59))
| ~ rearsegP(sK11(iPr_def_13,sK59),iPr_def_13) ),
inference(superposition,[status(thm)],[c_210173,c_184]) ).
tcf(c_210386,plain,
( ( app(sK12(iPr_def_13,sK11(iPr_def_13,sK59)),sK11(iPr_def_13,sK59)) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK11(iPr_def_13,sK59)) ),
inference(superposition,[status(thm)],[c_210173,c_66]) ).
tcf(c_210387,plain,
( ( app(sK12(iPr_def_13,sK11(iPr_def_13,sK59)),sK11(iPr_def_13,sK59)) = iPr_def_13 )
| ~ ssList(sK11(iPr_def_13,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210386,c_172540]) ).
tcf(c_210390,plain,
( ( sK11(iPr_def_13,sK59) = iPr_def_13 )
| ~ ssList(sK11(iPr_def_13,sK59))
| ~ rearsegP(sK11(iPr_def_13,sK59),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210385,c_172540]) ).
tcf(c_210395,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(global_subsumption_just,[status(thm)],[c_209821,c_58505]) ).
tcf(c_210403,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(global_subsumption_just,[status(thm)],[c_210190,c_58514]) ).
tcf(c_210415,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_175904,c_67]) ).
tcf(c_210421,plain,
( frontsegP(tl(sK56),tl(sK56))
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(tl(sK56)) ),
inference(superposition,[status(thm)],[c_175904,c_378]) ).
tcf(c_210422,plain,
( rearsegP(tl(sK56),nil)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(tl(sK56)) ),
inference(superposition,[status(thm)],[c_175904,c_375]) ).
tcf(c_210424,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_175904,c_225]) ).
tcf(c_210425,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_175904,c_226]) ).
tcf(c_210428,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_175904,c_193]) ).
tcf(c_210429,plain,
! [X0: $i] :
( rearsegP(tl(sK56),X0)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_175904,c_186]) ).
tcf(c_210430,plain,
! [X0: $i] :
( memberP(tl(sK56),X0)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(tl(sK56))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_175904,c_166]) ).
tcf(c_210434,plain,
( rearsegP(tl(sK56),nil)
| ( nil = sK56 )
| ~ ssList(tl(sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210422,c_141]) ).
tcf(c_210438,plain,
( frontsegP(tl(sK56),tl(sK56))
| ( nil = sK56 )
| ~ ssList(tl(sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210421,c_141]) ).
tcf(c_210442,plain,
! [X0: $i] :
( memberP(tl(sK56),X0)
| ( nil = sK56 )
| ~ ssItem(X0)
| ~ ssList(tl(sK56))
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210430,c_141]) ).
tcf(c_210448,plain,
! [X0: $i] :
( rearsegP(tl(sK56),X0)
| ( nil = sK56 )
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210429,c_141]) ).
tcf(c_210454,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_210428,c_141]) ).
tcf(c_210461,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_210425,c_141]) ).
tcf(c_210467,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_210424,c_141]) ).
tcf(c_210473,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_210415,c_141]) ).
tcf(c_210498,plain,
frontsegP(cons(sK57,iPr_def_10),nil),
inference(global_subsumption_just,[status(thm)],[c_179186,c_22816,c_86947]) ).
tcf(c_210501,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_210498,c_174]) ).
tcf(c_210502,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_210498,c_63]) ).
tcf(c_210503,plain,
( ( app(nil,sK11(cons(sK57,iPr_def_10),nil)) = cons(sK57,iPr_def_10) )
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210502,c_141]) ).
tcf(c_210506,plain,
( ( cons(sK57,iPr_def_10) = nil )
| ~ ssList(cons(sK57,iPr_def_10))
| ~ frontsegP(nil,cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210501,c_141]) ).
tcf(c_210514,plain,
! [X0: $i,X1: $i] :
( ( hd(app(iPr_def_10,sK8(X0,X1))) = sK57 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_179275]) ).
tcf(c_210515,plain,
! [X0: $i,X1: $i] :
( ( hd(app(iPr_def_10,sK9(X0,X1))) = sK57 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_179275]) ).
tcf(c_210516,plain,
! [X0: $i,X1: $i] :
( ( hd(app(iPr_def_10,app(X0,X1))) = sK57 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_179275]) ).
tcf(c_210517,plain,
! [X0: $i,X1: $i] :
( ( hd(app(iPr_def_10,sK11(X0,X1))) = sK57 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_179275]) ).
tcf(c_210518,plain,
! [X0: $i,X1: $i] :
( ( hd(app(iPr_def_10,sK12(X0,X1))) = sK57 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_179275]) ).
tcf(c_210519,plain,
! [X0: $i,X1: $i] :
( ( hd(app(iPr_def_10,sK13(X0,X1))) = sK57 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_179275]) ).
tcf(c_210520,plain,
! [X0: $i,X1: $i] :
( ( hd(app(iPr_def_10,sK14(X0,X1))) = sK57 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_179275]) ).
tcf(c_210530,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(app(iPr_def_10,sK34(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_179275]) ).
tcf(c_210531,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(app(iPr_def_10,sK33(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_179275]) ).
tcf(c_210532,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(app(iPr_def_10,sK32(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_179275]) ).
tcf(c_210533,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(app(iPr_def_10,sK39(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_179275]) ).
tcf(c_210534,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(app(iPr_def_10,sK38(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_179275]) ).
tcf(c_210535,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(app(iPr_def_10,sK37(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_179275]) ).
tcf(c_210536,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(app(iPr_def_10,sK44(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_179275]) ).
tcf(c_210537,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(app(iPr_def_10,sK43(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_179275]) ).
tcf(c_210538,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(app(iPr_def_10,sK42(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_179275]) ).
tcf(c_210539,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(app(iPr_def_10,sK48(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_179275]) ).
tcf(c_210540,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(app(iPr_def_10,sK47(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_179275]) ).
tcf(c_210541,plain,
! [X0: $i,X1: $i] :
( ( hd(app(iPr_def_10,cons(X0,X1))) = sK57 )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_179275]) ).
tcf(c_210542,plain,
hd(app(iPr_def_10,nil)) = sK57,
inference(superposition,[status(thm)],[c_141,c_179275]) ).
tcf(c_210543,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(app(iPr_def_10,sK49(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_179275]) ).
tcf(c_210544,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(app(iPr_def_10,tl(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_179275]) ).
tcf(c_210545,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(app(iPr_def_10,sK52(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_179275]) ).
tcf(c_210546,plain,
hd(app(iPr_def_10,sK60)) = sK57,
inference(superposition,[status(thm)],[c_12927,c_179275]) ).
tcf(c_210547,plain,
hd(app(iPr_def_10,sK59)) = sK57,
inference(superposition,[status(thm)],[c_12926,c_179275]) ).
tcf(c_210548,plain,
hd(app(iPr_def_10,sK56)) = sK57,
inference(superposition,[status(thm)],[c_12924,c_179275]) ).
tcf(c_210549,plain,
hd(app(iPr_def_10,iPr_def_13)) = sK57,
inference(superposition,[status(thm)],[c_172540,c_179275]) ).
tcf(c_210550,plain,
hd(app(iPr_def_10,iPr_def_11)) = sK57,
inference(superposition,[status(thm)],[c_173202,c_179275]) ).
tcf(c_210551,plain,
hd(app(iPr_def_10,iPr_def_12)) = sK57,
inference(superposition,[status(thm)],[c_173203,c_179275]) ).
tcf(c_210552,plain,
hd(app(iPr_def_10,iPr_def_10)) = sK57,
inference(superposition,[status(thm)],[c_173031,c_179275]) ).
tcf(c_210553,plain,
hd(app(iPr_def_10,cons(sK57,sK60))) = sK57,
inference(superposition,[status(thm)],[c_199078,c_179275]) ).
tcf(c_210554,plain,
hd(app(iPr_def_10,cons(sK57,sK59))) = sK57,
inference(superposition,[status(thm)],[c_207179,c_179275]) ).
tcf(c_210555,plain,
hd(app(iPr_def_10,cons(sK57,sK56))) = sK57,
inference(superposition,[status(thm)],[c_207789,c_179275]) ).
tcf(c_210556,plain,
( ( nil = sK60 )
| ( hd(app(iPr_def_10,tl(sK60))) = sK57 ) ),
inference(superposition,[status(thm)],[c_175448,c_179275]) ).
tcf(c_210557,plain,
( ( nil = sK59 )
| ( hd(app(iPr_def_10,tl(sK59))) = sK57 ) ),
inference(superposition,[status(thm)],[c_175843,c_179275]) ).
tcf(c_210558,plain,
( ( nil = sK56 )
| ( hd(app(iPr_def_10,tl(sK56))) = sK57 ) ),
inference(superposition,[status(thm)],[c_175889,c_179275]) ).
tcf(c_210559,plain,
hd(app(iPr_def_10,tl(iPr_def_13))) = sK57,
inference(superposition,[status(thm)],[c_182143,c_179275]) ).
tcf(c_210560,plain,
hd(app(iPr_def_10,tl(iPr_def_11))) = sK57,
inference(superposition,[status(thm)],[c_182940,c_179275]) ).
tcf(c_210561,plain,
hd(app(iPr_def_10,tl(iPr_def_12))) = sK57,
inference(superposition,[status(thm)],[c_184135,c_179275]) ).
tcf(c_210562,plain,
hd(app(iPr_def_10,cons(sK57,app(sK60,sK60)))) = sK57,
inference(superposition,[status(thm)],[c_198436,c_179275]) ).
tcf(c_210563,plain,
hd(app(iPr_def_10,cons(sK57,app(sK59,sK60)))) = sK57,
inference(superposition,[status(thm)],[c_198773,c_179275]) ).
tcf(c_210564,plain,
hd(app(iPr_def_10,cons(sK57,app(sK56,sK60)))) = sK57,
inference(superposition,[status(thm)],[c_199547,c_179275]) ).
tcf(c_210565,plain,
hd(app(iPr_def_10,cons(sK57,app(sK60,sK59)))) = sK57,
inference(superposition,[status(thm)],[c_201785,c_179275]) ).
tcf(c_210566,plain,
hd(app(iPr_def_10,cons(sK57,app(sK59,sK59)))) = sK57,
inference(superposition,[status(thm)],[c_202549,c_179275]) ).
tcf(c_210567,plain,
hd(app(iPr_def_10,cons(sK57,app(sK56,sK59)))) = sK57,
inference(superposition,[status(thm)],[c_202943,c_179275]) ).
tcf(c_210568,plain,
hd(app(iPr_def_10,cons(sK57,app(sK60,sK56)))) = sK57,
inference(superposition,[status(thm)],[c_204921,c_179275]) ).
tcf(c_210569,plain,
hd(app(iPr_def_10,cons(sK57,app(sK59,sK56)))) = sK57,
inference(superposition,[status(thm)],[c_205349,c_179275]) ).
tcf(c_210570,plain,
hd(app(iPr_def_10,cons(sK57,app(sK56,sK56)))) = sK57,
inference(superposition,[status(thm)],[c_205833,c_179275]) ).
tcf(c_210993,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(iPr_def_10,iPr_def_13) = nil )
| ( app(iPr_def_10,iPr_def_13) = X0 )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,iPr_def_13))
| ( hd(X0) != sK57 )
| ( tl(app(iPr_def_10,iPr_def_13)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_210549,c_223]) ).
tcf(c_210994,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_10,iPr_def_13)))
| ( app(iPr_def_10,iPr_def_13) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(app(iPr_def_10,iPr_def_13))
| ~ ssList(app(iPr_def_10,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_210549,c_212]) ).
tcf(c_210995,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_10,iPr_def_13)))
| ( app(iPr_def_10,iPr_def_13) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(app(iPr_def_10,iPr_def_13))
| ~ ssList(app(iPr_def_10,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_210549,c_206]) ).
tcf(c_211017,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(iPr_def_10,iPr_def_11) = nil )
| ( app(iPr_def_10,iPr_def_11) = X0 )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,iPr_def_11))
| ( hd(X0) != sK57 )
| ( tl(app(iPr_def_10,iPr_def_11)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_210550,c_223]) ).
tcf(c_211018,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_10,iPr_def_11)))
| ( app(iPr_def_10,iPr_def_11) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(app(iPr_def_10,iPr_def_11))
| ~ ssList(app(iPr_def_10,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_210550,c_212]) ).
tcf(c_211019,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_10,iPr_def_11)))
| ( app(iPr_def_10,iPr_def_11) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(app(iPr_def_10,iPr_def_11))
| ~ ssList(app(iPr_def_10,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_210550,c_206]) ).
tcf(c_211041,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(iPr_def_10,iPr_def_12) = nil )
| ( app(iPr_def_10,iPr_def_12) = X0 )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,iPr_def_12))
| ( hd(X0) != sK57 )
| ( tl(app(iPr_def_10,iPr_def_12)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_210551,c_223]) ).
tcf(c_211042,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_10,iPr_def_12)))
| ( app(iPr_def_10,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(app(iPr_def_10,iPr_def_12))
| ~ ssList(app(iPr_def_10,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_210551,c_212]) ).
tcf(c_211043,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_10,iPr_def_12)))
| ( app(iPr_def_10,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(app(iPr_def_10,iPr_def_12))
| ~ ssList(app(iPr_def_10,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_210551,c_206]) ).
tcf(c_211065,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(iPr_def_10,iPr_def_10) = nil )
| ( app(iPr_def_10,iPr_def_10) = X0 )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,iPr_def_10))
| ( hd(X0) != sK57 )
| ( tl(app(iPr_def_10,iPr_def_10)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_210552,c_223]) ).
tcf(c_211066,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_10,iPr_def_10)))
| ( app(iPr_def_10,iPr_def_10) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(app(iPr_def_10,iPr_def_10))
| ~ ssList(app(iPr_def_10,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_210552,c_212]) ).
tcf(c_211067,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_10,iPr_def_10)))
| ( app(iPr_def_10,iPr_def_10) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(app(iPr_def_10,iPr_def_10))
| ~ ssList(app(iPr_def_10,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_210552,c_206]) ).
tcf(c_211087,plain,
~ rearsegP(sK59,cons(sK57,app(sK56,sK59))),
inference(global_subsumption_just,[status(thm)],[c_203390,c_47053,c_47052,c_48253,c_49784,c_49791]) ).
tcf(c_211095,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK60,sK56)),X0),cons(X0,sK9(cons(sK57,app(sK60,sK56)),X0))) = cons(sK57,app(sK60,sK56)) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK60),X0)
| ~ ssList(cons(sK57,app(sK60,sK56))) ),
inference(superposition,[status(thm)],[c_204937,c_57]) ).
tcf(c_211096,plain,
! [X0: $i] :
( memberP(app(sK60,sK56),X0)
| ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ ssList(app(sK60,sK56))
| ~ memberP(cons(sK57,sK60),X0) ),
inference(superposition,[status(thm)],[c_204937,c_170]) ).
tcf(c_211097,plain,
! [X0: $i] :
( memberP(app(sK60,sK56),X0)
| ( X0 = sK57 )
| ~ ssItem(X0)
| ~ ssList(app(sK60,sK56))
| ~ memberP(cons(sK57,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211096,c_12925]) ).
tcf(c_211103,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK60,sK56)),X0),cons(X0,sK9(cons(sK57,app(sK60,sK56)),X0))) = cons(sK57,app(sK60,sK56)) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211095,c_204921]) ).
tcf(c_211113,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,app(sK60,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ frontsegP(cons(sK57,sK60),X0)
| ~ ssList(cons(sK57,app(sK60,sK56))) ),
inference(superposition,[status(thm)],[c_204941,c_173]) ).
tcf(c_211114,plain,
! [X0: $i] :
( ( cons(sK57,app(sK60,sK56)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK60),X0)
| ~ ssList(cons(sK57,app(sK60,sK56)))
| ~ frontsegP(X0,cons(sK57,app(sK60,sK56))) ),
inference(superposition,[status(thm)],[c_204941,c_174]) ).
tcf(c_211115,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,app(sK60,sK56)),X0)) = cons(sK57,app(sK60,sK56)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK60),X0)
| ~ ssList(cons(sK57,app(sK60,sK56))) ),
inference(superposition,[status(thm)],[c_204941,c_63]) ).
tcf(c_211116,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK60,sK56))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK60),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_204941,c_178]) ).
tcf(c_211117,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK60,sK56),X1)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK60,sK56))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK60),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_204941,c_179]) ).
tcf(c_211119,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,app(sK60,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ frontsegP(cons(sK57,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211113,c_204921]) ).
tcf(c_211125,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK60,sK56))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK60),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211116,c_12925]) ).
tcf(c_211132,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK60,sK56),X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK60,sK56))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK60),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211117,c_12925]) ).
tcf(c_211139,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,app(sK60,sK56)),X0)) = cons(sK57,app(sK60,sK56)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211115,c_204921]) ).
tcf(c_211143,plain,
! [X0: $i] :
( ( cons(sK57,app(sK60,sK56)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK60),X0)
| ~ frontsegP(X0,cons(sK57,app(sK60,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211114,c_204921]) ).
tcf(c_211148,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK60,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK56)),sK56))
| ~ ssList(app(app(sK12(cons(sK57,app(sK60,sK56)),sK56),sK56),X0)) ),
inference(superposition,[status(thm)],[c_205152,c_67]) ).
tcf(c_211151,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(sK12(cons(sK57,app(sK60,sK56)),sK56),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK60,sK56)),X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK56)),sK56)) ),
inference(superposition,[status(thm)],[c_205152,c_167]) ).
tcf(c_211154,plain,
( frontsegP(cons(sK57,app(sK60,sK56)),sK12(cons(sK57,app(sK60,sK56)),sK56))
| ~ ssList(sK56)
| ~ ssList(sK12(cons(sK57,app(sK60,sK56)),sK56)) ),
inference(superposition,[status(thm)],[c_205152,c_378]) ).
tcf(c_211157,plain,
! [X0: $i] :
( ( sK12(cons(sK57,app(sK60,sK56)),sK56) = X0 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK56)),sK56))
| ( cons(sK57,app(sK60,sK56)) != app(X0,sK56) ) ),
inference(superposition,[status(thm)],[c_205152,c_225]) ).
tcf(c_211158,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK56)),sK56))
| ( app(sK12(cons(sK57,app(sK60,sK56)),sK56),X0) != cons(sK57,app(sK60,sK56)) ) ),
inference(superposition,[status(thm)],[c_205152,c_226]) ).
tcf(c_211159,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK60,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK56)),sK56))
| ~ frontsegP(sK12(cons(sK57,app(sK60,sK56)),sK56),X0) ),
inference(superposition,[status(thm)],[c_205152,c_176]) ).
tcf(c_211160,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK60,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK56)),sK56))
| ~ memberP(sK12(cons(sK57,app(sK60,sK56)),sK56),X0) ),
inference(superposition,[status(thm)],[c_205152,c_165]) ).
tcf(c_211161,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK60,sK56)),X1),X0)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK56)),sK56)) ),
inference(superposition,[status(thm)],[c_205152,c_193]) ).
tcf(c_211162,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK60,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK56)),sK56)) ),
inference(superposition,[status(thm)],[c_205152,c_186]) ).
tcf(c_211163,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK60,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK56)),sK56)) ),
inference(superposition,[status(thm)],[c_205152,c_166]) ).
tcf(c_211165,plain,
( frontsegP(cons(sK57,app(sK60,sK56)),sK12(cons(sK57,app(sK60,sK56)),sK56))
| ~ ssList(sK12(cons(sK57,app(sK60,sK56)),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211154,c_12924]) ).
tcf(c_211171,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK60,sK56)),X0)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK56)),sK56))
| ~ memberP(sK12(cons(sK57,app(sK60,sK56)),sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211160,c_12924]) ).
tcf(c_211176,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK60,sK56)),X0)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK56)),sK56))
| ~ frontsegP(sK12(cons(sK57,app(sK60,sK56)),sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211159,c_12924]) ).
tcf(c_211181,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(sK12(cons(sK57,app(sK60,sK56)),sK56),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK60,sK56)),X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK56)),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211151,c_12924]) ).
tcf(c_211187,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK56)),sK56))
| ( app(sK12(cons(sK57,app(sK60,sK56)),sK56),X0) != cons(sK57,app(sK60,sK56)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211158,c_12924]) ).
tcf(c_211192,plain,
! [X0: $i] :
( ( sK12(cons(sK57,app(sK60,sK56)),sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK56)),sK56))
| ( cons(sK57,app(sK60,sK56)) != app(X0,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211157,c_12924]) ).
tcf(c_211197,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK60,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK56)),sK56))
| ~ ssList(app(cons(sK57,app(sK60,sK56)),X0)) ),
inference(light_normalisation,[status(thm)],[c_211148,c_205152]) ).
tcf(c_211198,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK60,sK56)),X0),sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK60,sK56)),sK56))
| ~ ssList(app(cons(sK57,app(sK60,sK56)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211197,c_12924]) ).
tcf(c_211203,plain,
~ rearsegP(sK56,cons(sK57,app(sK60,sK56))),
inference(global_subsumption_just,[status(thm)],[c_205153,c_49427,c_49689]) ).
tcf(c_211205,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_206061,c_67]) ).
tcf(c_211208,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_206061,c_167]) ).
tcf(c_211209,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_206061,c_231]) ).
tcf(c_211210,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56))
| ( cons(sK57,app(sK59,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_206061,c_230]) ).
tcf(c_211211,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_206061,c_378]) ).
tcf(c_211214,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_206061,c_225]) ).
tcf(c_211215,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_206061,c_226]) ).
tcf(c_211216,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_206061,c_176]) ).
tcf(c_211217,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_206061,c_165]) ).
tcf(c_211218,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_206061,c_193]) ).
tcf(c_211219,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_206061,c_186]) ).
tcf(c_211220,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_206061,c_166]) ).
tcf(c_211221,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_206061,c_186302]) ).
tcf(c_211222,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_211211,c_12924]) ).
tcf(c_211225,plain,
( ( nil = sK56 )
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56))
| ( cons(sK57,app(sK59,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211210,c_12924]) ).
tcf(c_211229,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_211220,c_12924]) ).
tcf(c_211238,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_211218,c_12924]) ).
tcf(c_211244,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_211209,c_12924]) ).
tcf(c_211248,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_211217,c_12924]) ).
tcf(c_211253,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_211216,c_12924]) ).
tcf(c_211258,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_211208,c_12924]) ).
tcf(c_211264,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_211215,c_12924]) ).
tcf(c_211269,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_211214,c_12924]) ).
tcf(c_211274,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_211205,c_206061]) ).
tcf(c_211275,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_211274,c_12924]) ).
tcf(c_211300,plain,
~ rearsegP(sK56,cons(sK57,app(sK59,sK56))),
inference(global_subsumption_just,[status(thm)],[c_206062,c_50586,c_50869]) ).
tcf(c_211302,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_206074,c_67]) ).
tcf(c_211305,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_206074,c_167]) ).
tcf(c_211306,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_206074,c_231]) ).
tcf(c_211307,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56))
| ( cons(sK57,app(sK56,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_206074,c_230]) ).
tcf(c_211308,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_206074,c_378]) ).
tcf(c_211311,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_206074,c_225]) ).
tcf(c_211312,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_206074,c_226]) ).
tcf(c_211313,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_206074,c_176]) ).
tcf(c_211314,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_206074,c_165]) ).
tcf(c_211315,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_206074,c_193]) ).
tcf(c_211316,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_206074,c_186]) ).
tcf(c_211317,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_206074,c_166]) ).
tcf(c_211318,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_206074,c_186302]) ).
tcf(c_211319,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_211308,c_12924]) ).
tcf(c_211322,plain,
( ( nil = sK56 )
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56))
| ( cons(sK57,app(sK56,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211307,c_12924]) ).
tcf(c_211326,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_211317,c_12924]) ).
tcf(c_211335,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_211315,c_12924]) ).
tcf(c_211341,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_211306,c_12924]) ).
tcf(c_211345,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_211314,c_12924]) ).
tcf(c_211350,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_211313,c_12924]) ).
tcf(c_211355,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_211305,c_12924]) ).
tcf(c_211361,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_211312,c_12924]) ).
tcf(c_211366,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_211311,c_12924]) ).
tcf(c_211371,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_211302,c_206074]) ).
tcf(c_211372,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_211371,c_12924]) ).
tcf(c_211489,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_175905,c_67]) ).
tcf(c_211495,plain,
( frontsegP(tl(sK56),nil)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(tl(sK56)) ),
inference(superposition,[status(thm)],[c_175905,c_378]) ).
tcf(c_211496,plain,
( rearsegP(tl(sK56),tl(sK56))
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(tl(sK56)) ),
inference(superposition,[status(thm)],[c_175905,c_375]) ).
tcf(c_211498,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_175905,c_225]) ).
tcf(c_211502,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_175905,c_226]) ).
tcf(c_211503,plain,
! [X0: $i] :
( frontsegP(tl(sK56),X0)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_175905,c_176]) ).
tcf(c_211505,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_175905,c_193]) ).
tcf(c_211508,plain,
( frontsegP(tl(sK56),nil)
| ( nil = sK56 )
| ~ ssList(tl(sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211495,c_141]) ).
tcf(c_211512,plain,
( rearsegP(tl(sK56),tl(sK56))
| ( nil = sK56 )
| ~ ssList(tl(sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211496,c_141]) ).
tcf(c_211516,plain,
! [X0: $i] :
( frontsegP(tl(sK56),X0)
| ( nil = sK56 )
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211503,c_141]) ).
tcf(c_211522,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_211502,c_141]) ).
tcf(c_211528,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_211498,c_141]) ).
tcf(c_211534,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_211505,c_141]) ).
tcf(c_211541,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_211489,c_141]) ).
tcf(c_211613,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_180110,c_184]) ).
tcf(c_211614,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_180110,c_66]) ).
tcf(c_211615,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_211614,c_173202]) ).
tcf(c_211618,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_211613,c_173202]) ).
tcf(c_211627,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_180132,c_184]) ).
tcf(c_211628,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_180132,c_66]) ).
tcf(c_211629,plain,
( rearsegP(iPr_def_12,sK11(iPr_def_10,iPr_def_10))
| ~ ssList(sK11(iPr_def_10,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_180132,c_178985]) ).
tcf(c_211630,plain,
( rearsegP(iPr_def_11,sK11(iPr_def_10,iPr_def_10))
| ~ ssList(sK11(iPr_def_10,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_180132,c_178989]) ).
tcf(c_211635,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_211628,c_173031]) ).
tcf(c_211638,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_211627,c_173031]) ).
tcf(c_211647,plain,
( ( sK11(iPr_def_13,iPr_def_13) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK11(iPr_def_13,iPr_def_13))
| ~ rearsegP(sK11(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_180163,c_184]) ).
tcf(c_211648,plain,
( ( app(sK12(iPr_def_13,sK11(iPr_def_13,iPr_def_13)),sK11(iPr_def_13,iPr_def_13)) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK11(iPr_def_13,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_180163,c_66]) ).
tcf(c_211649,plain,
( ( app(sK12(iPr_def_13,sK11(iPr_def_13,iPr_def_13)),sK11(iPr_def_13,iPr_def_13)) = iPr_def_13 )
| ~ ssList(sK11(iPr_def_13,iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211648,c_172540]) ).
tcf(c_211652,plain,
( ( sK11(iPr_def_13,iPr_def_13) = iPr_def_13 )
| ~ ssList(sK11(iPr_def_13,iPr_def_13))
| ~ rearsegP(sK11(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211647,c_172540]) ).
tcf(c_211656,plain,
rearsegP(nil,sK11(nil,nil)),
inference(global_subsumption_just,[status(thm)],[c_180474,c_141,c_181,c_324,c_25015]) ).
tcf(c_211659,plain,
( ( sK11(nil,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),nil) ),
inference(superposition,[status(thm)],[c_211656,c_184]) ).
tcf(c_211660,plain,
( ( app(sK12(nil,sK11(nil,nil)),sK11(nil,nil)) = nil )
| ~ ssList(nil)
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_211656,c_66]) ).
tcf(c_211661,plain,
( rearsegP(iPr_def_13,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_211656,c_178965]) ).
tcf(c_211662,plain,
( rearsegP(iPr_def_10,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_211656,c_178961]) ).
tcf(c_211663,plain,
( rearsegP(iPr_def_11,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_211656,c_178957]) ).
tcf(c_211664,plain,
( rearsegP(iPr_def_12,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_211656,c_178953]) ).
tcf(c_211665,plain,
( rearsegP(sK60,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_211656,c_178977]) ).
tcf(c_211666,plain,
( rearsegP(sK59,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_211656,c_178973]) ).
tcf(c_211667,plain,
( rearsegP(sK56,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_211656,c_178969]) ).
tcf(c_211683,plain,
( ( app(sK12(nil,sK11(nil,nil)),sK11(nil,nil)) = nil )
| ~ ssList(sK11(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211660,c_141]) ).
tcf(c_211687,plain,
segmentP(iPr_def_12,sK59),
inference(global_subsumption_just,[status(thm)],[c_209815,c_59075]) ).
tcf(c_211689,plain,
( ( app(app(sK13(iPr_def_12,sK59),sK59),sK14(iPr_def_12,sK59)) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_211687,c_70]) ).
tcf(c_211690,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_211687,c_190]) ).
tcf(c_211691,plain,
( ( sK59 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ~ segmentP(sK59,iPr_def_12) ),
inference(superposition,[status(thm)],[c_211687,c_191]) ).
tcf(c_211692,plain,
( ( sK59 = iPr_def_12 )
| ~ segmentP(sK59,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211691,c_173203,c_12926]) ).
tcf(c_211695,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211690,c_173203,c_12926]) ).
tcf(c_211699,plain,
app(app(sK13(iPr_def_12,sK59),sK59),sK14(iPr_def_12,sK59)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_211689,c_173203,c_12926]) ).
tcf(c_211700,plain,
segmentP(iPr_def_13,sK59),
inference(global_subsumption_just,[status(thm)],[c_210181,c_59093]) ).
tcf(c_211702,plain,
( ( app(app(sK13(iPr_def_13,sK59),sK59),sK14(iPr_def_13,sK59)) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_211700,c_70]) ).
tcf(c_211703,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_211700,c_190]) ).
tcf(c_211704,plain,
( ( sK59 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK59)
| ~ segmentP(sK59,iPr_def_13) ),
inference(superposition,[status(thm)],[c_211700,c_191]) ).
tcf(c_211705,plain,
( ( sK59 = iPr_def_13 )
| ~ segmentP(sK59,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211704,c_172540,c_12926]) ).
tcf(c_211708,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211703,c_172540,c_12926]) ).
tcf(c_211712,plain,
app(app(sK13(iPr_def_13,sK59),sK59),sK14(iPr_def_13,sK59)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_211702,c_172540,c_12926]) ).
tcf(c_211715,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(iPr_def_10,tl(iPr_def_13)) = nil )
| ( app(iPr_def_10,tl(iPr_def_13)) = X0 )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,tl(iPr_def_13)))
| ( hd(X0) != sK57 )
| ( tl(app(iPr_def_10,tl(iPr_def_13))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_210559,c_223]) ).
tcf(c_211716,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_10,tl(iPr_def_13))))
| ( app(iPr_def_10,tl(iPr_def_13)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(app(iPr_def_10,tl(iPr_def_13)))
| ~ ssList(app(iPr_def_10,tl(iPr_def_13))) ),
inference(superposition,[status(thm)],[c_210559,c_212]) ).
tcf(c_211717,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_10,tl(iPr_def_13))))
| ( app(iPr_def_10,tl(iPr_def_13)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(app(iPr_def_10,tl(iPr_def_13)))
| ~ ssList(app(iPr_def_10,tl(iPr_def_13))) ),
inference(superposition,[status(thm)],[c_210559,c_206]) ).
tcf(c_211739,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(iPr_def_10,tl(iPr_def_11)) = nil )
| ( app(iPr_def_10,tl(iPr_def_11)) = X0 )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,tl(iPr_def_11)))
| ( hd(X0) != sK57 )
| ( tl(app(iPr_def_10,tl(iPr_def_11))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_210560,c_223]) ).
tcf(c_211740,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_10,tl(iPr_def_11))))
| ( app(iPr_def_10,tl(iPr_def_11)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(app(iPr_def_10,tl(iPr_def_11)))
| ~ ssList(app(iPr_def_10,tl(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_210560,c_212]) ).
tcf(c_211741,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_10,tl(iPr_def_11))))
| ( app(iPr_def_10,tl(iPr_def_11)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(app(iPr_def_10,tl(iPr_def_11)))
| ~ ssList(app(iPr_def_10,tl(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_210560,c_206]) ).
tcf(c_211776,plain,
( segmentP(iPr_def_12,nil)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_194,c_211695]) ).
tcf(c_211778,plain,
segmentP(iPr_def_12,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_211776,c_12926,c_141]) ).
tcf(c_211779,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_211778,c_70]) ).
tcf(c_211780,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_211778,c_190]) ).
tcf(c_211781,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ segmentP(nil,iPr_def_12) ),
inference(superposition,[status(thm)],[c_211778,c_191]) ).
tcf(c_211782,plain,
~ segmentP(nil,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_211781,c_177323,c_173203,c_141]) ).
tcf(c_211783,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211780,c_173203,c_141]) ).
tcf(c_211787,plain,
app(app(sK13(iPr_def_12,nil),nil),sK14(iPr_def_12,nil)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_211779,c_173203,c_141]) ).
tcf(c_211797,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),sK14(iPr_def_12,sK59))
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_12,sK59))
| ~ ssList(app(sK13(iPr_def_12,sK59),sK59))
| ~ ssList(app(app(app(sK13(iPr_def_12,sK59),sK59),sK14(iPr_def_12,sK59)),X0)) ),
inference(superposition,[status(thm)],[c_211699,c_67]) ).
tcf(c_211800,plain,
! [X0: $i] :
( memberP(sK14(iPr_def_12,sK59),X0)
| memberP(app(sK13(iPr_def_12,sK59),sK59),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0)
| ~ ssList(sK14(iPr_def_12,sK59))
| ~ ssList(app(sK13(iPr_def_12,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_211699,c_167]) ).
tcf(c_211803,plain,
( frontsegP(iPr_def_12,app(sK13(iPr_def_12,sK59),sK59))
| ~ ssList(sK14(iPr_def_12,sK59))
| ~ ssList(app(sK13(iPr_def_12,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_211699,c_378]) ).
tcf(c_211804,plain,
( rearsegP(iPr_def_12,sK14(iPr_def_12,sK59))
| ~ ssList(sK14(iPr_def_12,sK59))
| ~ ssList(app(sK13(iPr_def_12,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_211699,c_375]) ).
tcf(c_211806,plain,
! [X0: $i] :
( ( app(sK13(iPr_def_12,sK59),sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_12,sK59))
| ~ ssList(app(sK13(iPr_def_12,sK59),sK59))
| ( app(X0,sK14(iPr_def_12,sK59)) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_211699,c_225]) ).
tcf(c_211808,plain,
! [X0: $i] :
( ( sK14(iPr_def_12,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_12,sK59))
| ~ ssList(app(sK13(iPr_def_12,sK59),sK59))
| ( app(app(sK13(iPr_def_12,sK59),sK59),X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_211699,c_226]) ).
tcf(c_211809,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_12,sK59))
| ~ ssList(app(sK13(iPr_def_12,sK59),sK59))
| ~ frontsegP(app(sK13(iPr_def_12,sK59),sK59),X0) ),
inference(superposition,[status(thm)],[c_211699,c_176]) ).
tcf(c_211810,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ ssList(sK14(iPr_def_12,sK59))
| ~ ssList(app(sK13(iPr_def_12,sK59),sK59))
| ~ memberP(app(sK13(iPr_def_12,sK59),sK59),X0) ),
inference(superposition,[status(thm)],[c_211699,c_165]) ).
tcf(c_211811,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_12,sK59))
| ~ segmentP(sK14(iPr_def_12,sK59),X0)
| ~ ssList(app(sK13(iPr_def_12,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_211699,c_193]) ).
tcf(c_211812,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_12,sK59))
| ~ rearsegP(sK14(iPr_def_12,sK59),X0)
| ~ ssList(app(sK13(iPr_def_12,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_211699,c_186]) ).
tcf(c_211813,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ ssList(sK14(iPr_def_12,sK59))
| ~ memberP(sK14(iPr_def_12,sK59),X0)
| ~ ssList(app(sK13(iPr_def_12,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_211699,c_166]) ).
tcf(c_211814,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK14(iPr_def_12,sK59))
| ~ ssList(sK13(iPr_def_12,sK59)) ),
inference(superposition,[status(thm)],[c_211699,c_193]) ).
tcf(c_211864,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),sK14(iPr_def_12,sK59))
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_12,sK59))
| ~ ssList(app(iPr_def_12,X0))
| ~ ssList(app(sK13(iPr_def_12,sK59),sK59)) ),
inference(light_normalisation,[status(thm)],[c_211797,c_211699]) ).
tcf(c_212097,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sK14(iPr_def_13,sK59))
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_13,sK59))
| ~ ssList(app(sK13(iPr_def_13,sK59),sK59))
| ~ ssList(app(app(app(sK13(iPr_def_13,sK59),sK59),sK14(iPr_def_13,sK59)),X0)) ),
inference(superposition,[status(thm)],[c_211712,c_67]) ).
tcf(c_212100,plain,
! [X0: $i] :
( memberP(sK14(iPr_def_13,sK59),X0)
| memberP(app(sK13(iPr_def_13,sK59),sK59),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0)
| ~ ssList(sK14(iPr_def_13,sK59))
| ~ ssList(app(sK13(iPr_def_13,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_211712,c_167]) ).
tcf(c_212103,plain,
( frontsegP(iPr_def_13,app(sK13(iPr_def_13,sK59),sK59))
| ~ ssList(sK14(iPr_def_13,sK59))
| ~ ssList(app(sK13(iPr_def_13,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_211712,c_378]) ).
tcf(c_212104,plain,
( rearsegP(iPr_def_13,sK14(iPr_def_13,sK59))
| ~ ssList(sK14(iPr_def_13,sK59))
| ~ ssList(app(sK13(iPr_def_13,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_211712,c_375]) ).
tcf(c_212106,plain,
! [X0: $i] :
( ( app(sK13(iPr_def_13,sK59),sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_13,sK59))
| ~ ssList(app(sK13(iPr_def_13,sK59),sK59))
| ( app(X0,sK14(iPr_def_13,sK59)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_211712,c_225]) ).
tcf(c_212108,plain,
! [X0: $i] :
( ( sK14(iPr_def_13,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_13,sK59))
| ~ ssList(app(sK13(iPr_def_13,sK59),sK59))
| ( app(app(sK13(iPr_def_13,sK59),sK59),X0) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_211712,c_226]) ).
tcf(c_212109,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_13,sK59))
| ~ ssList(app(sK13(iPr_def_13,sK59),sK59))
| ~ frontsegP(app(sK13(iPr_def_13,sK59),sK59),X0) ),
inference(superposition,[status(thm)],[c_211712,c_176]) ).
tcf(c_212110,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ ssList(sK14(iPr_def_13,sK59))
| ~ ssList(app(sK13(iPr_def_13,sK59),sK59))
| ~ memberP(app(sK13(iPr_def_13,sK59),sK59),X0) ),
inference(superposition,[status(thm)],[c_211712,c_165]) ).
tcf(c_212111,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_13,sK59))
| ~ segmentP(sK14(iPr_def_13,sK59),X0)
| ~ ssList(app(sK13(iPr_def_13,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_211712,c_193]) ).
tcf(c_212112,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_13,sK59))
| ~ rearsegP(sK14(iPr_def_13,sK59),X0)
| ~ ssList(app(sK13(iPr_def_13,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_211712,c_186]) ).
tcf(c_212113,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ ssList(sK14(iPr_def_13,sK59))
| ~ memberP(sK14(iPr_def_13,sK59),X0)
| ~ ssList(app(sK13(iPr_def_13,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_211712,c_166]) ).
tcf(c_212114,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK14(iPr_def_13,sK59))
| ~ ssList(sK13(iPr_def_13,sK59)) ),
inference(superposition,[status(thm)],[c_211712,c_193]) ).
tcf(c_212164,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sK14(iPr_def_13,sK59))
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_13,sK59))
| ~ ssList(app(iPr_def_13,X0))
| ~ ssList(app(sK13(iPr_def_13,sK59),sK59)) ),
inference(light_normalisation,[status(thm)],[c_212097,c_211712]) ).
tcf(c_212280,plain,
~ rearsegP(sK56,cons(sK57,app(sK56,sK56))),
inference(global_subsumption_just,[status(thm)],[c_206075,c_50949,c_51461]) ).
tcf(c_212282,plain,
cons(sK50(iPr_def_13),sK49(iPr_def_13)) = iPr_def_13,
inference(global_subsumption_just,[status(thm)],[c_176054,c_19620,c_21048]) ).
tcf(c_212284,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ ssList(app(app(X0,cons(sK50(iPr_def_13),X1)),iPr_def_13))
| ~ duplicatefreeP(app(app(X0,cons(sK50(iPr_def_13),X1)),cons(sK50(iPr_def_13),sK49(iPr_def_13)))) ),
inference(superposition,[status(thm)],[c_212282,c_130]) ).
tcf(c_212285,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK50(iPr_def_13),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ ssList(app(app(X0,iPr_def_13),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(sK50(iPr_def_13),sK49(iPr_def_13))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_212282,c_122]) ).
tcf(c_212286,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK50(iPr_def_13),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ ssList(app(app(X0,iPr_def_13),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(sK50(iPr_def_13),sK49(iPr_def_13))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_212282,c_114]) ).
tcf(c_212287,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ ssList(app(app(X0,iPr_def_13),cons(sK50(iPr_def_13),X1)))
| ~ duplicatefreeP(app(app(X0,cons(sK50(iPr_def_13),sK49(iPr_def_13))),cons(sK50(iPr_def_13),X1))) ),
inference(superposition,[status(thm)],[c_212282,c_130]) ).
tcf(c_212291,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_13),sK50(iPr_def_13))
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ ssList(app(X0,cons(sK50(iPr_def_13),sK49(iPr_def_13)))) ),
inference(superposition,[status(thm)],[c_212282,c_54]) ).
tcf(c_212292,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(iPr_def_13))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_13))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(sK50(iPr_def_13),sK49(iPr_def_13)))) ),
inference(superposition,[status(thm)],[c_212282,c_122]) ).
tcf(c_212293,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(iPr_def_13))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_13))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(sK50(iPr_def_13),sK49(iPr_def_13)))) ),
inference(superposition,[status(thm)],[c_212282,c_114]) ).
tcf(c_212297,plain,
! [X0: $i,X1: $i] :
( ( sK50(iPr_def_13) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ ssList(app(X0,cons(X1,iPr_def_13)))
| ~ equalelemsP(app(X0,cons(X1,cons(sK50(iPr_def_13),sK49(iPr_def_13))))) ),
inference(superposition,[status(thm)],[c_212282,c_137]) ).
tcf(c_212300,plain,
! [X0: $i,X1: $i] :
( ( sK50(iPr_def_13) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ frontsegP(cons(X0,X1),iPr_def_13) ),
inference(superposition,[status(thm)],[c_212282,c_178]) ).
tcf(c_212301,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,sK49(iPr_def_13))
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ frontsegP(cons(X0,X1),iPr_def_13) ),
inference(superposition,[status(thm)],[c_212282,c_179]) ).
tcf(c_212302,plain,
( ( sK49(iPr_def_13) = nil )
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ( iPr_def_10 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_212282,c_190118]) ).
tcf(c_212303,plain,
( ( sK50(iPr_def_13) = sK57 )
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ( iPr_def_10 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_212282,c_189982]) ).
tcf(c_212304,plain,
( ( sK50(iPr_def_13) = sK57 )
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_212282,c_189539]) ).
tcf(c_212305,plain,
( ( sK50(iPr_def_13) = sK57 )
| ~ frontsegP(iPr_def_13,iPr_def_10)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_212282,c_189534]) ).
tcf(c_212306,plain,
( frontsegP(nil,sK49(iPr_def_13))
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_212282,c_188786]) ).
tcf(c_212307,plain,
! [X0: $i,X1: $i] :
( ( sK49(iPr_def_13) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ( cons(X0,X1) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_212282,c_144]) ).
tcf(c_212308,plain,
! [X0: $i,X1: $i] :
( ( sK50(iPr_def_13) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ( cons(X0,X1) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_212282,c_143]) ).
tcf(c_212309,plain,
! [X0: $i,X1: $i] :
( ( sK50(iPr_def_13) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ frontsegP(iPr_def_13,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_212282,c_178]) ).
tcf(c_212310,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK49(iPr_def_13),X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ frontsegP(iPr_def_13,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_212282,c_179]) ).
tcf(c_212311,plain,
! [X0: $i] :
( memberP(sK49(iPr_def_13),X0)
| ( sK50(iPr_def_13) = X0 )
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ memberP(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_212282,c_170]) ).
tcf(c_212312,plain,
( lt(sK50(iPr_def_13),hd(sK49(iPr_def_13)))
| ( sK49(iPr_def_13) = nil )
| ~ strictorderedP(iPr_def_13)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_212282,c_214]) ).
tcf(c_212313,plain,
( leq(sK50(iPr_def_13),hd(sK49(iPr_def_13)))
| ( sK49(iPr_def_13) = nil )
| ~ totalorderedP(iPr_def_13)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_212282,c_208]) ).
tcf(c_212314,plain,
( strictorderedP(sK49(iPr_def_13))
| ( sK49(iPr_def_13) = nil )
| ~ strictorderedP(iPr_def_13)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_212282,c_213]) ).
tcf(c_212315,plain,
( totalorderedP(sK49(iPr_def_13))
| ( sK49(iPr_def_13) = nil )
| ~ totalorderedP(iPr_def_13)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_212282,c_207]) ).
tcf(c_212317,plain,
( ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ( sK49(iPr_def_13) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_212282,c_142]) ).
tcf(c_212318,plain,
( memberP(iPr_def_13,sK50(iPr_def_13))
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_212282,c_168]) ).
tcf(c_212320,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,cons(sK50(iPr_def_13),X0))
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ frontsegP(sK49(iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_212282,c_177]) ).
tcf(c_212321,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ memberP(sK49(iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_212282,c_169]) ).
tcf(c_212322,plain,
! [X0: $i] :
( frontsegP(cons(sK50(iPr_def_13),X0),iPr_def_13)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ frontsegP(X0,sK49(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_212282,c_177]) ).
tcf(c_212354,plain,
( totalorderedP(sK49(iPr_def_13))
| ( sK49(iPr_def_13) = nil )
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212315,c_176575]) ).
tcf(c_212359,plain,
( strictorderedP(sK49(iPr_def_13))
| ( sK49(iPr_def_13) = nil )
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212314,c_176569]) ).
tcf(c_212374,plain,
( leq(sK50(iPr_def_13),hd(sK49(iPr_def_13)))
| ( sK49(iPr_def_13) = nil )
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212313,c_176575]) ).
tcf(c_212379,plain,
( lt(sK50(iPr_def_13),hd(sK49(iPr_def_13)))
| ( sK49(iPr_def_13) = nil )
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212312,c_176569]) ).
tcf(c_212426,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_13),sK50(iPr_def_13))
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ ssList(app(X0,iPr_def_13)) ),
inference(light_normalisation,[status(thm)],[c_212291,c_212282]) ).
tcf(c_212480,plain,
! [X0: $i,X1: $i] :
( ( sK50(iPr_def_13) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ equalelemsP(app(X0,cons(X1,iPr_def_13)))
| ~ ssList(app(X0,cons(X1,iPr_def_13))) ),
inference(light_normalisation,[status(thm)],[c_212297,c_212282]) ).
tcf(c_212488,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ duplicatefreeP(app(app(X0,iPr_def_13),cons(sK50(iPr_def_13),X1)))
| ~ ssList(app(app(X0,iPr_def_13),cons(sK50(iPr_def_13),X1))) ),
inference(light_normalisation,[status(thm)],[c_212287,c_212282]) ).
tcf(c_212495,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ duplicatefreeP(app(app(X0,cons(sK50(iPr_def_13),X1)),iPr_def_13))
| ~ ssList(app(app(X0,cons(sK50(iPr_def_13),X1)),iPr_def_13)) ),
inference(light_normalisation,[status(thm)],[c_212284,c_212282]) ).
tcf(c_212502,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(iPr_def_13))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_13))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(light_normalisation,[status(thm)],[c_212293,c_212282]) ).
tcf(c_212511,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(iPr_def_13))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_13))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(light_normalisation,[status(thm)],[c_212292,c_212282]) ).
tcf(c_212520,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK50(iPr_def_13),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ totalorderedP(app(app(X0,iPr_def_13),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_212286,c_212282]) ).
tcf(c_212529,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK50(iPr_def_13),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ strictorderedP(app(app(X0,iPr_def_13),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_212285,c_212282]) ).
tcf(c_212862,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_180499,c_183]) ).
tcf(c_212863,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_180499,c_184]) ).
tcf(c_212864,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_180499,c_66]) ).
tcf(c_212865,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_212864,c_173203]) ).
tcf(c_212868,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_212863,c_173203]) ).
tcf(c_212877,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_180522,c_183]) ).
tcf(c_212878,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_180522,c_184]) ).
tcf(c_212879,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_180522,c_66]) ).
tcf(c_212880,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_212879,c_173202]) ).
tcf(c_212883,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_212878,c_173202]) ).
tcf(c_212901,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(iPr_def_10,tl(iPr_def_12)) = nil )
| ( app(iPr_def_10,tl(iPr_def_12)) = X0 )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,tl(iPr_def_12)))
| ( hd(X0) != sK57 )
| ( tl(app(iPr_def_10,tl(iPr_def_12))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_210561,c_223]) ).
tcf(c_212902,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_10,tl(iPr_def_12))))
| ( app(iPr_def_10,tl(iPr_def_12)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(app(iPr_def_10,tl(iPr_def_12)))
| ~ ssList(app(iPr_def_10,tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_210561,c_212]) ).
tcf(c_212903,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_10,tl(iPr_def_12))))
| ( app(iPr_def_10,tl(iPr_def_12)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(app(iPr_def_10,tl(iPr_def_12)))
| ~ ssList(app(iPr_def_10,tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_210561,c_206]) ).
tcf(c_212932,plain,
( ( nil = sK59 )
| ~ ssList(nil)
| ( cons(sK57,sK59) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_173058,c_207211]) ).
tcf(c_212933,plain,
( ( sK11(iPr_def_10,iPr_def_10) = sK59 )
| ~ ssList(sK11(iPr_def_10,iPr_def_10))
| ( cons(sK57,sK59) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_177492,c_207211]) ).
tcf(c_212934,plain,
( ( sK59 = sK60 )
| ~ ssList(sK60)
| ( cons(sK57,sK59) != cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_198089,c_207211]) ).
tcf(c_212936,plain,
( ( sK59 = sK56 )
| ~ ssList(sK56)
| ( cons(sK57,sK59) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_204221,c_207211]) ).
tcf(c_212937,plain,
( ( nil = sK59 )
| ( cons(sK57,sK59) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212932,c_141]) ).
tcf(c_212940,plain,
( ( sK59 = sK56 )
| ( cons(sK57,sK59) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212936,c_12924]) ).
tcf(c_212958,plain,
( ( cons(sK57,sK60) = iPr_def_10 )
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_201437,c_207215]) ).
tcf(c_212959,plain,
( ( cons(sK57,sK59) = iPr_def_10 )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_201438,c_207215]) ).
tcf(c_212960,plain,
( ( cons(sK57,sK56) = iPr_def_10 )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_201439,c_207215]) ).
tcf(c_212962,plain,
( ( sK12(cons(sK57,app(sK60,sK59)),sK59) = iPr_def_10 )
| ~ ssList(sK12(cons(sK57,app(sK60,sK59)),sK59))
| ( cons(sK57,app(sK60,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_202176,c_207215]) ).
tcf(c_212963,plain,
( ( sK12(cons(sK57,sK59),sK59) = iPr_def_10 )
| ~ ssList(sK12(cons(sK57,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_207506,c_207215]) ).
tcf(c_212964,plain,
( ( sK12(cons(sK57,app(sK59,sK59)),sK59) = iPr_def_10 )
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59))
| ( cons(sK57,app(sK59,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_203374,c_207215]) ).
tcf(c_212965,plain,
( ( sK12(cons(sK57,app(sK56,sK59)),sK59) = iPr_def_10 )
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59))
| ( cons(sK57,app(sK56,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_203389,c_207215]) ).
tcf(c_212968,plain,
( ( cons(sK57,sK56) = iPr_def_10 )
| ( cons(sK57,app(sK56,sK59)) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212960,c_207789]) ).
tcf(c_212971,plain,
( ( cons(sK57,sK59) = iPr_def_10 )
| ( cons(sK57,app(sK59,sK59)) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212959,c_207179]) ).
tcf(c_212974,plain,
( ( cons(sK57,sK60) = iPr_def_10 )
| ( cons(sK57,app(sK60,sK59)) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212958,c_199078]) ).
tcf(c_213097,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_207654,c_173]) ).
tcf(c_213098,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_207654,c_174]) ).
tcf(c_213099,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_207654,c_63]) ).
tcf(c_213101,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_213099,c_207179]) ).
tcf(c_213104,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_213098,c_207179]) ).
tcf(c_213114,plain,
( ( nil = sK56 )
| ~ ssList(nil)
| ( cons(sK57,sK56) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_173058,c_207821]) ).
tcf(c_213115,plain,
( ( sK11(iPr_def_10,iPr_def_10) = sK56 )
| ~ ssList(sK11(iPr_def_10,iPr_def_10))
| ( cons(sK57,sK56) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_177492,c_207821]) ).
tcf(c_213116,plain,
( ( sK60 = sK56 )
| ~ ssList(sK60)
| ( cons(sK57,sK60) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_198089,c_207821]) ).
tcf(c_213117,plain,
( ( sK59 = sK56 )
| ~ ssList(sK59)
| ( cons(sK57,sK59) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_201454,c_207821]) ).
tcf(c_213119,plain,
( ( nil = sK56 )
| ( cons(sK57,sK56) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213114,c_141]) ).
tcf(c_213134,plain,
( ( cons(sK57,sK60) = iPr_def_10 )
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK56)) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_204201,c_207825]) ).
tcf(c_213135,plain,
( ( cons(sK57,sK59) = iPr_def_10 )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK56)) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_204202,c_207825]) ).
tcf(c_213136,plain,
( ( cons(sK57,sK56) = iPr_def_10 )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK56)) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_204203,c_207825]) ).
tcf(c_213138,plain,
( ( sK12(cons(sK57,app(sK60,sK56)),sK56) = iPr_def_10 )
| ~ ssList(sK12(cons(sK57,app(sK60,sK56)),sK56))
| ( cons(sK57,app(sK60,sK56)) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_205152,c_207825]) ).
tcf(c_213139,plain,
( ( sK12(cons(sK57,sK56),sK56) = iPr_def_10 )
| ~ ssList(sK12(cons(sK57,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_208138,c_207825]) ).
tcf(c_213140,plain,
( ( sK12(cons(sK57,app(sK59,sK56)),sK56) = iPr_def_10 )
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56))
| ( cons(sK57,app(sK59,sK56)) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_206061,c_207825]) ).
tcf(c_213141,plain,
( ( sK12(cons(sK57,app(sK56,sK56)),sK56) = iPr_def_10 )
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56))
| ( cons(sK57,app(sK56,sK56)) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_206074,c_207825]) ).
tcf(c_213144,plain,
( ( cons(sK57,sK56) = iPr_def_10 )
| ( cons(sK57,app(sK56,sK56)) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213136,c_207789]) ).
tcf(c_213147,plain,
( ( cons(sK57,sK59) = iPr_def_10 )
| ( cons(sK57,app(sK59,sK56)) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213135,c_207179]) ).
tcf(c_213150,plain,
( ( cons(sK57,sK60) = iPr_def_10 )
| ( cons(sK57,app(sK60,sK56)) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213134,c_199078]) ).
tcf(c_213194,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_208417,c_173]) ).
tcf(c_213195,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_208417,c_174]) ).
tcf(c_213196,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_208417,c_63]) ).
tcf(c_213198,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_213196,c_207789]) ).
tcf(c_213201,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_213195,c_207789]) ).
tcf(c_213213,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK60),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(superposition,[status(thm)],[c_173272,c_199118]) ).
tcf(c_213214,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK60,sK60)),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(superposition,[status(thm)],[c_198075,c_199118]) ).
tcf(c_213215,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK60,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(superposition,[status(thm)],[c_201437,c_199118]) ).
tcf(c_213216,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK60,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(superposition,[status(thm)],[c_204201,c_199118]) ).
tcf(c_213217,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK13(app(cons(sK57,sK60),X0),X1),X1),sK14(app(cons(sK57,sK60),X0),X1)) = app(cons(sK57,sK60),X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X1)
| ~ ssList(app(cons(sK57,sK60),X0)) ),
inference(superposition,[status(thm)],[c_199118,c_70]) ).
tcf(c_213218,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(cons(sK57,sK60),X0),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X1)
| ~ segmentP(X1,X2)
| ~ ssList(app(cons(sK57,sK60),X0)) ),
inference(superposition,[status(thm)],[c_199118,c_190]) ).
tcf(c_213219,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sK57,sK60),X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(app(cons(sK57,sK60),X1))
| ~ segmentP(X0,app(cons(sK57,sK60),X1)) ),
inference(superposition,[status(thm)],[c_199118,c_191]) ).
tcf(c_213220,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK60),X0)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213213,c_141]) ).
tcf(c_213224,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK60,sK56)),X0)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213216,c_12924]) ).
tcf(c_213228,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK60,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213215,c_12926]) ).
tcf(c_213232,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK60,sK60)),X0)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213214,c_12927]) ).
tcf(c_213263,plain,
cons(sK50(iPr_def_11),sK49(iPr_def_11)) = iPr_def_11,
inference(global_subsumption_just,[status(thm)],[c_176055,c_19621,c_20882]) ).
tcf(c_213265,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_213263,c_130]) ).
tcf(c_213266,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_213263,c_122]) ).
tcf(c_213267,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_213263,c_114]) ).
tcf(c_213268,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_213263,c_130]) ).
tcf(c_213272,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_213263,c_54]) ).
tcf(c_213273,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_213263,c_122]) ).
tcf(c_213274,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_213263,c_114]) ).
tcf(c_213278,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_213263,c_137]) ).
tcf(c_213281,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_213263,c_178]) ).
tcf(c_213282,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_213263,c_179]) ).
tcf(c_213283,plain,
( ( sK49(iPr_def_11) = nil )
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ( iPr_def_10 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_213263,c_190118]) ).
tcf(c_213284,plain,
( ( sK50(iPr_def_11) = sK57 )
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ( iPr_def_10 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_213263,c_189982]) ).
tcf(c_213285,plain,
( ( sK50(iPr_def_11) = sK57 )
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_213263,c_189539]) ).
tcf(c_213286,plain,
( ( sK50(iPr_def_11) = sK57 )
| ~ frontsegP(iPr_def_11,iPr_def_10)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_213263,c_189534]) ).
tcf(c_213287,plain,
( frontsegP(nil,sK49(iPr_def_11))
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_213263,c_188786]) ).
tcf(c_213288,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_213263,c_144]) ).
tcf(c_213289,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_213263,c_143]) ).
tcf(c_213290,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_213263,c_178]) ).
tcf(c_213291,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_213263,c_179]) ).
tcf(c_213292,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_213263,c_170]) ).
tcf(c_213293,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_213263,c_214]) ).
tcf(c_213294,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_213263,c_208]) ).
tcf(c_213295,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_213263,c_213]) ).
tcf(c_213296,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_213263,c_207]) ).
tcf(c_213298,plain,
( ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ( sK49(iPr_def_11) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_213263,c_142]) ).
tcf(c_213299,plain,
( memberP(iPr_def_11,sK50(iPr_def_11))
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_213263,c_168]) ).
tcf(c_213301,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_213263,c_177]) ).
tcf(c_213302,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_213263,c_169]) ).
tcf(c_213303,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_213263,c_177]) ).
tcf(c_213407,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_213272,c_213263]) ).
tcf(c_213461,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_213278,c_213263]) ).
tcf(c_213469,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_213268,c_213263]) ).
tcf(c_213476,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_213265,c_213263]) ).
tcf(c_213483,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_213274,c_213263]) ).
tcf(c_213492,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_213273,c_213263]) ).
tcf(c_213501,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_213267,c_213263]) ).
tcf(c_213510,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_213266,c_213263]) ).
tcf(c_213620,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,nil))
| ~ rearsegP(sK11(iPr_def_13,nil),X0) ),
inference(superposition,[status(thm)],[c_181431,c_183]) ).
tcf(c_213621,plain,
( ( sK11(iPr_def_13,nil) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK11(iPr_def_13,nil))
| ~ rearsegP(sK11(iPr_def_13,nil),iPr_def_13) ),
inference(superposition,[status(thm)],[c_181431,c_184]) ).
tcf(c_213622,plain,
( ( app(sK12(iPr_def_13,sK11(iPr_def_13,nil)),sK11(iPr_def_13,nil)) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK11(iPr_def_13,nil)) ),
inference(superposition,[status(thm)],[c_181431,c_66]) ).
tcf(c_213623,plain,
( ( app(sK12(iPr_def_13,sK11(iPr_def_13,nil)),sK11(iPr_def_13,nil)) = iPr_def_13 )
| ~ ssList(sK11(iPr_def_13,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213622,c_172540]) ).
tcf(c_213626,plain,
( ( sK11(iPr_def_13,nil) = iPr_def_13 )
| ~ ssList(sK11(iPr_def_13,nil))
| ~ rearsegP(sK11(iPr_def_13,nil),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213621,c_172540]) ).
tcf(c_213635,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_181454,c_183]) ).
tcf(c_213636,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_181454,c_184]) ).
tcf(c_213637,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_181454,c_66]) ).
tcf(c_213638,plain,
( rearsegP(iPr_def_12,sK11(iPr_def_10,nil))
| ~ ssList(sK11(iPr_def_10,nil)) ),
inference(superposition,[status(thm)],[c_181454,c_178985]) ).
tcf(c_213639,plain,
( rearsegP(iPr_def_11,sK11(iPr_def_10,nil))
| ~ ssList(sK11(iPr_def_10,nil)) ),
inference(superposition,[status(thm)],[c_181454,c_178989]) ).
tcf(c_213644,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_213637,c_173031]) ).
tcf(c_213647,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_213636,c_173031]) ).
tcf(c_213656,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_12))
| ~ rearsegP(sK11(iPr_def_13,iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_182461,c_183]) ).
tcf(c_213657,plain,
( ( sK11(iPr_def_13,iPr_def_12) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK11(iPr_def_13,iPr_def_12))
| ~ rearsegP(sK11(iPr_def_13,iPr_def_12),iPr_def_13) ),
inference(superposition,[status(thm)],[c_182461,c_184]) ).
tcf(c_213658,plain,
( ( app(sK12(iPr_def_13,sK11(iPr_def_13,iPr_def_12)),sK11(iPr_def_13,iPr_def_12)) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK11(iPr_def_13,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_182461,c_66]) ).
tcf(c_213659,plain,
( ( app(sK12(iPr_def_13,sK11(iPr_def_13,iPr_def_12)),sK11(iPr_def_13,iPr_def_12)) = iPr_def_13 )
| ~ ssList(sK11(iPr_def_13,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213658,c_172540]) ).
tcf(c_213662,plain,
( ( sK11(iPr_def_13,iPr_def_12) = iPr_def_13 )
| ~ ssList(sK11(iPr_def_13,iPr_def_12))
| ~ rearsegP(sK11(iPr_def_13,iPr_def_12),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213657,c_172540]) ).
tcf(c_213733,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_11))
| ~ rearsegP(sK11(iPr_def_12,iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_182485,c_183]) ).
tcf(c_213734,plain,
( ( sK11(iPr_def_12,iPr_def_11) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK11(iPr_def_12,iPr_def_11))
| ~ rearsegP(sK11(iPr_def_12,iPr_def_11),iPr_def_12) ),
inference(superposition,[status(thm)],[c_182485,c_184]) ).
tcf(c_213735,plain,
( ( app(sK12(iPr_def_12,sK11(iPr_def_12,iPr_def_11)),sK11(iPr_def_12,iPr_def_11)) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK11(iPr_def_12,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_182485,c_66]) ).
tcf(c_213736,plain,
( ( app(sK12(iPr_def_12,sK11(iPr_def_12,iPr_def_11)),sK11(iPr_def_12,iPr_def_11)) = iPr_def_12 )
| ~ ssList(sK11(iPr_def_12,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213735,c_173203]) ).
tcf(c_213739,plain,
( ( sK11(iPr_def_12,iPr_def_11) = iPr_def_12 )
| ~ ssList(sK11(iPr_def_12,iPr_def_11))
| ~ rearsegP(sK11(iPr_def_12,iPr_def_11),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213734,c_173203]) ).
tcf(c_213746,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_207250,c_223]) ).
tcf(c_213747,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_207250,c_212]) ).
tcf(c_213748,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_207250,c_206]) ).
tcf(c_213761,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_213746,c_207246]) ).
tcf(c_213771,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_207251,c_223]) ).
tcf(c_213772,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_207251,c_212]) ).
tcf(c_213773,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_207251,c_206]) ).
tcf(c_213786,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_213771,c_207248]) ).
tcf(c_213809,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_207272,c_223]) ).
tcf(c_213810,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_207272,c_212]) ).
tcf(c_213811,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_207272,c_206]) ).
tcf(c_213824,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_213809,c_207271]) ).
tcf(c_213838,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK57,app(sK60,sK56)),X0),X0),sK14(cons(sK57,app(sK60,sK56)),X0)) = cons(sK57,app(sK60,sK56)) )
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(cons(sK57,app(sK60,sK56))) ),
inference(superposition,[status(thm)],[c_213224,c_70]) ).
tcf(c_213839,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK57,app(sK60,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ segmentP(X0,X1)
| ~ ssList(cons(sK57,app(sK60,sK56))) ),
inference(superposition,[status(thm)],[c_213224,c_190]) ).
tcf(c_213840,plain,
! [X0: $i] :
( ( cons(sK57,app(sK60,sK56)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(cons(sK57,app(sK60,sK56)))
| ~ segmentP(X0,cons(sK57,app(sK60,sK56))) ),
inference(superposition,[status(thm)],[c_213224,c_191]) ).
tcf(c_213841,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK57,app(sK60,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ segmentP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213839,c_204921]) ).
tcf(c_213847,plain,
! [X0: $i] :
( ( cons(sK57,app(sK60,sK56)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ segmentP(X0,cons(sK57,app(sK60,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213840,c_204921]) ).
tcf(c_213852,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK57,app(sK60,sK56)),X0),X0),sK14(cons(sK57,app(sK60,sK56)),X0)) = cons(sK57,app(sK60,sK56)) )
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213838,c_204921]) ).
tcf(c_213880,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK57,app(sK60,sK59)),X0),X0),sK14(cons(sK57,app(sK60,sK59)),X0)) = cons(sK57,app(sK60,sK59)) )
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(cons(sK57,app(sK60,sK59))) ),
inference(superposition,[status(thm)],[c_213228,c_70]) ).
tcf(c_213881,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK57,app(sK60,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ segmentP(X0,X1)
| ~ ssList(cons(sK57,app(sK60,sK59))) ),
inference(superposition,[status(thm)],[c_213228,c_190]) ).
tcf(c_213882,plain,
! [X0: $i] :
( ( cons(sK57,app(sK60,sK59)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(cons(sK57,app(sK60,sK59)))
| ~ segmentP(X0,cons(sK57,app(sK60,sK59))) ),
inference(superposition,[status(thm)],[c_213228,c_191]) ).
tcf(c_213883,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK57,app(sK60,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ segmentP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213881,c_201785]) ).
tcf(c_213889,plain,
! [X0: $i] :
( ( cons(sK57,app(sK60,sK59)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ segmentP(X0,cons(sK57,app(sK60,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213882,c_201785]) ).
tcf(c_213894,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK57,app(sK60,sK59)),X0),X0),sK14(cons(sK57,app(sK60,sK59)),X0)) = cons(sK57,app(sK60,sK59)) )
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213880,c_201785]) ).
tcf(c_213904,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK57,app(sK60,sK60)),X0),X0),sK14(cons(sK57,app(sK60,sK60)),X0)) = cons(sK57,app(sK60,sK60)) )
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(cons(sK57,app(sK60,sK60))) ),
inference(superposition,[status(thm)],[c_213232,c_70]) ).
tcf(c_213905,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK57,app(sK60,sK60)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ segmentP(X0,X1)
| ~ ssList(cons(sK57,app(sK60,sK60))) ),
inference(superposition,[status(thm)],[c_213232,c_190]) ).
tcf(c_213906,plain,
! [X0: $i] :
( ( cons(sK57,app(sK60,sK60)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(cons(sK57,app(sK60,sK60)))
| ~ segmentP(X0,cons(sK57,app(sK60,sK60))) ),
inference(superposition,[status(thm)],[c_213232,c_191]) ).
tcf(c_213907,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK57,app(sK60,sK60)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ segmentP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213905,c_198436]) ).
tcf(c_213913,plain,
! [X0: $i] :
( ( cons(sK57,app(sK60,sK60)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ segmentP(X0,cons(sK57,app(sK60,sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213906,c_198436]) ).
tcf(c_213918,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK57,app(sK60,sK60)),X0),X0),sK14(cons(sK57,app(sK60,sK60)),X0)) = cons(sK57,app(sK60,sK60)) )
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213904,c_198436]) ).
tcf(c_213928,plain,
( segmentP(cons(sK57,sK60),sK60)
| ~ ssList(nil)
| ~ ssList(app(cons(sK57,sK60),nil)) ),
inference(superposition,[status(thm)],[c_173272,c_199124]) ).
tcf(c_213929,plain,
( segmentP(cons(sK57,app(sK60,sK60)),sK60)
| ~ ssList(sK60)
| ~ ssList(app(cons(sK57,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_198075,c_199124]) ).
tcf(c_213930,plain,
( segmentP(cons(sK57,app(sK60,sK59)),sK60)
| ~ ssList(sK59)
| ~ ssList(app(cons(sK57,sK60),sK59)) ),
inference(superposition,[status(thm)],[c_201437,c_199124]) ).
tcf(c_213931,plain,
( segmentP(cons(sK57,app(sK60,sK56)),sK60)
| ~ ssList(sK56)
| ~ ssList(app(cons(sK57,sK60),sK56)) ),
inference(superposition,[status(thm)],[c_204201,c_199124]) ).
tcf(c_213932,plain,
! [X0: $i] :
( ( app(app(sK13(app(cons(sK57,sK60),X0),sK60),sK60),sK14(app(cons(sK57,sK60),X0),sK60)) = app(cons(sK57,sK60),X0) )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK60),X0)) ),
inference(superposition,[status(thm)],[c_199124,c_70]) ).
tcf(c_213933,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK60),X0),X1)
| ~ ssList(sK60)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X1)
| ~ ssList(app(cons(sK57,sK60),X0)) ),
inference(superposition,[status(thm)],[c_199124,c_190]) ).
tcf(c_213934,plain,
! [X0: $i] :
( ( app(cons(sK57,sK60),X0) = sK60 )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK60),X0))
| ~ segmentP(sK60,app(cons(sK57,sK60),X0)) ),
inference(superposition,[status(thm)],[c_199124,c_191]) ).
tcf(c_213935,plain,
( segmentP(cons(sK57,sK60),sK60)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK60)) ),
inference(light_normalisation,[status(thm)],[c_213928,c_173272]) ).
tcf(c_213936,plain,
segmentP(cons(sK57,sK60),sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_213935,c_141,c_199078]) ).
tcf(c_213937,plain,
( segmentP(cons(sK57,app(sK60,sK56)),sK60)
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK60,sK56))) ),
inference(light_normalisation,[status(thm)],[c_213931,c_204201]) ).
tcf(c_213938,plain,
segmentP(cons(sK57,app(sK60,sK56)),sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_213937,c_12924,c_204921]) ).
tcf(c_213939,plain,
( segmentP(cons(sK57,app(sK60,sK59)),sK60)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK60,sK59))) ),
inference(light_normalisation,[status(thm)],[c_213930,c_201437]) ).
tcf(c_213940,plain,
segmentP(cons(sK57,app(sK60,sK59)),sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_213939,c_12926,c_201785]) ).
tcf(c_213941,plain,
( segmentP(cons(sK57,app(sK60,sK60)),sK60)
| ~ ssList(sK60)
| ~ ssList(cons(sK57,app(sK60,sK60))) ),
inference(light_normalisation,[status(thm)],[c_213929,c_198075]) ).
tcf(c_213942,plain,
segmentP(cons(sK57,app(sK60,sK60)),sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_213941,c_12927,c_198436]) ).
tcf(c_213943,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK60),X0),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X1)
| ~ ssList(app(cons(sK57,sK60),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213933,c_12927]) ).
tcf(c_213949,plain,
! [X0: $i] :
( ( app(cons(sK57,sK60),X0) = sK60 )
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK60),X0))
| ~ segmentP(sK60,app(cons(sK57,sK60),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213934,c_12927]) ).
tcf(c_213954,plain,
! [X0: $i] :
( ( app(app(sK13(app(cons(sK57,sK60),X0),sK60),sK60),sK14(app(cons(sK57,sK60),X0),sK60)) = app(cons(sK57,sK60),X0) )
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK60),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213932,c_12927]) ).
tcf(c_213976,plain,
( ( app(app(sK13(cons(sK57,app(sK60,sK56)),sK60),sK60),sK14(cons(sK57,app(sK60,sK56)),sK60)) = cons(sK57,app(sK60,sK56)) )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,app(sK60,sK56))) ),
inference(superposition,[status(thm)],[c_213938,c_70]) ).
tcf(c_213977,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK60,sK56)),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(cons(sK57,app(sK60,sK56))) ),
inference(superposition,[status(thm)],[c_213938,c_190]) ).
tcf(c_213978,plain,
( ( cons(sK57,app(sK60,sK56)) = sK60 )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,app(sK60,sK56)))
| ~ segmentP(sK60,cons(sK57,app(sK60,sK56))) ),
inference(superposition,[status(thm)],[c_213938,c_191]) ).
tcf(c_213980,plain,
( ( cons(sK57,app(sK60,sK56)) = sK60 )
| ~ segmentP(sK60,cons(sK57,app(sK60,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213978,c_12927,c_204921]) ).
tcf(c_213983,plain,
app(app(sK13(cons(sK57,app(sK60,sK56)),sK60),sK60),sK14(cons(sK57,app(sK60,sK56)),sK60)) = cons(sK57,app(sK60,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_213976,c_12927,c_204921]) ).
tcf(c_213984,plain,
( ( app(app(sK13(cons(sK57,app(sK60,sK59)),sK60),sK60),sK14(cons(sK57,app(sK60,sK59)),sK60)) = cons(sK57,app(sK60,sK59)) )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,app(sK60,sK59))) ),
inference(superposition,[status(thm)],[c_213940,c_70]) ).
tcf(c_213985,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK60,sK59)),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(cons(sK57,app(sK60,sK59))) ),
inference(superposition,[status(thm)],[c_213940,c_190]) ).
tcf(c_213986,plain,
( ( cons(sK57,app(sK60,sK59)) = sK60 )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,app(sK60,sK59)))
| ~ segmentP(sK60,cons(sK57,app(sK60,sK59))) ),
inference(superposition,[status(thm)],[c_213940,c_191]) ).
tcf(c_213988,plain,
( ( cons(sK57,app(sK60,sK59)) = sK60 )
| ~ segmentP(sK60,cons(sK57,app(sK60,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213986,c_12927,c_201785]) ).
tcf(c_213991,plain,
app(app(sK13(cons(sK57,app(sK60,sK59)),sK60),sK60),sK14(cons(sK57,app(sK60,sK59)),sK60)) = cons(sK57,app(sK60,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_213984,c_12927,c_201785]) ).
tcf(c_213992,plain,
( ( app(app(sK13(cons(sK57,app(sK60,sK60)),sK60),sK60),sK14(cons(sK57,app(sK60,sK60)),sK60)) = cons(sK57,app(sK60,sK60)) )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,app(sK60,sK60))) ),
inference(superposition,[status(thm)],[c_213942,c_70]) ).
tcf(c_213993,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK60,sK60)),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(cons(sK57,app(sK60,sK60))) ),
inference(superposition,[status(thm)],[c_213942,c_190]) ).
tcf(c_213994,plain,
( ( cons(sK57,app(sK60,sK60)) = sK60 )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,app(sK60,sK60)))
| ~ segmentP(sK60,cons(sK57,app(sK60,sK60))) ),
inference(superposition,[status(thm)],[c_213942,c_191]) ).
tcf(c_213996,plain,
( ( cons(sK57,app(sK60,sK60)) = sK60 )
| ~ segmentP(sK60,cons(sK57,app(sK60,sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213994,c_12927,c_198436]) ).
tcf(c_213999,plain,
app(app(sK13(cons(sK57,app(sK60,sK60)),sK60),sK60),sK14(cons(sK57,app(sK60,sK60)),sK60)) = cons(sK57,app(sK60,sK60)),
inference(forward_subsumption_resolution,[status(thm)],[c_213992,c_12927,c_198436]) ).
tcf(c_214004,plain,
cons(sK50(iPr_def_12),sK49(iPr_def_12)) = iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_176056,c_19622,c_20881]) ).
tcf(c_214006,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_214004,c_130]) ).
tcf(c_214007,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_214004,c_122]) ).
tcf(c_214008,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_214004,c_114]) ).
tcf(c_214009,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_214004,c_130]) ).
tcf(c_214013,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_214004,c_54]) ).
tcf(c_214014,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_214004,c_122]) ).
tcf(c_214015,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_214004,c_114]) ).
tcf(c_214019,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_214004,c_137]) ).
tcf(c_214022,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_214004,c_178]) ).
tcf(c_214023,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_214004,c_179]) ).
tcf(c_214024,plain,
( ( sK49(iPr_def_12) = nil )
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ( iPr_def_10 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_214004,c_190118]) ).
tcf(c_214025,plain,
( ( sK50(iPr_def_12) = sK57 )
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ( iPr_def_10 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_214004,c_189982]) ).
tcf(c_214026,plain,
( ( sK50(iPr_def_12) = sK57 )
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_214004,c_189539]) ).
tcf(c_214027,plain,
( ( sK50(iPr_def_12) = sK57 )
| ~ frontsegP(iPr_def_12,iPr_def_10)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_214004,c_189534]) ).
tcf(c_214028,plain,
( frontsegP(nil,sK49(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_214004,c_188786]) ).
tcf(c_214029,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_214004,c_144]) ).
tcf(c_214030,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_214004,c_143]) ).
tcf(c_214031,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_214004,c_178]) ).
tcf(c_214032,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_214004,c_179]) ).
tcf(c_214033,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_214004,c_170]) ).
tcf(c_214034,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_214004,c_214]) ).
tcf(c_214035,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_214004,c_208]) ).
tcf(c_214036,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_214004,c_213]) ).
tcf(c_214037,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_214004,c_207]) ).
tcf(c_214039,plain,
( ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ( sK49(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_214004,c_142]) ).
tcf(c_214040,plain,
( memberP(iPr_def_12,sK50(iPr_def_12))
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_214004,c_168]) ).
tcf(c_214042,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_214004,c_177]) ).
tcf(c_214043,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_214004,c_169]) ).
tcf(c_214044,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_214004,c_177]) ).
tcf(c_214148,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_214013,c_214004]) ).
tcf(c_214202,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_214019,c_214004]) ).
tcf(c_214210,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_214009,c_214004]) ).
tcf(c_214217,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_214006,c_214004]) ).
tcf(c_214224,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_214015,c_214004]) ).
tcf(c_214233,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_214014,c_214004]) ).
tcf(c_214242,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_214008,c_214004]) ).
tcf(c_214251,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_214007,c_214004]) ).
tcf(c_214429,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_182509,c_174]) ).
tcf(c_214430,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_182509,c_63]) ).
tcf(c_214431,plain,
( frontsegP(iPr_def_13,sK12(iPr_def_12,iPr_def_12))
| ~ ssList(sK12(iPr_def_12,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_182509,c_178539]) ).
tcf(c_214434,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_214430,c_173203]) ).
tcf(c_214437,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_214429,c_173203]) ).
tcf(c_214473,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_183788,c_174]) ).
tcf(c_214474,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_183788,c_63]) ).
tcf(c_214475,plain,
( frontsegP(iPr_def_13,sK12(iPr_def_11,iPr_def_11))
| ~ ssList(sK12(iPr_def_11,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_183788,c_181375]) ).
tcf(c_214476,plain,
( frontsegP(iPr_def_12,sK12(iPr_def_11,iPr_def_11))
| ~ ssList(sK12(iPr_def_11,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_183788,c_178543]) ).
tcf(c_214481,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_214474,c_173202]) ).
tcf(c_214484,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_214473,c_173202]) ).
tcf(c_214493,plain,
( ( sK12(iPr_def_13,iPr_def_13) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK12(iPr_def_13,iPr_def_13))
| ~ frontsegP(sK12(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_183811,c_174]) ).
tcf(c_214494,plain,
( ( app(sK12(iPr_def_13,iPr_def_13),sK11(iPr_def_13,sK12(iPr_def_13,iPr_def_13))) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK12(iPr_def_13,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_183811,c_63]) ).
tcf(c_214495,plain,
( ( app(sK12(iPr_def_13,iPr_def_13),sK11(iPr_def_13,sK12(iPr_def_13,iPr_def_13))) = iPr_def_13 )
| ~ ssList(sK12(iPr_def_13,iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214494,c_172540]) ).
tcf(c_214498,plain,
( ( sK12(iPr_def_13,iPr_def_13) = iPr_def_13 )
| ~ ssList(sK12(iPr_def_13,iPr_def_13))
| ~ frontsegP(sK12(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214493,c_172540]) ).
tcf(c_214520,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_183835,c_174]) ).
tcf(c_214521,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_183835,c_63]) ).
tcf(c_214522,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_214521,c_173031]) ).
tcf(c_214525,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_214520,c_173031]) ).
tcf(c_214529,plain,
( ( app(app(sK13(cons(sK57,sK60),sK60),sK60),sK14(cons(sK57,sK60),sK60)) = cons(sK57,sK60) )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_213936,c_70]) ).
tcf(c_214530,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK60),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_213936,c_190]) ).
tcf(c_214531,plain,
( ( cons(sK57,sK60) = sK60 )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK60))
| ~ segmentP(sK60,cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_213936,c_191]) ).
tcf(c_214532,plain,
~ segmentP(sK60,cons(sK57,sK60)),
inference(forward_subsumption_resolution,[status(thm)],[c_214531,c_199081,c_12927,c_199078]) ).
tcf(c_214534,plain,
app(app(sK13(cons(sK57,sK60),sK60),sK60),sK14(cons(sK57,sK60),sK60)) = cons(sK57,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_214529,c_12927,c_199078]) ).
tcf(c_214568,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_207898,c_223]) ).
tcf(c_214569,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_207898,c_212]) ).
tcf(c_214570,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_207898,c_206]) ).
tcf(c_214583,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_214568,c_207894]) ).
tcf(c_214593,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_207899,c_223]) ).
tcf(c_214594,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_207899,c_212]) ).
tcf(c_214595,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_207899,c_206]) ).
tcf(c_214608,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_214593,c_207896]) ).
tcf(c_214620,plain,
~ segmentP(sK60,cons(sK57,app(sK60,sK60))),
inference(global_subsumption_just,[status(thm)],[c_213996,c_43186,c_44373,c_44383,c_57360]) ).
tcf(c_214622,plain,
app(sK60,sK11(app(sK60,sK60),sK60)) = app(sK60,sK60),
inference(global_subsumption_just,[status(thm)],[c_200508,c_57401]) ).
tcf(c_214624,plain,
! [X0: $i] :
( segmentP(app(app(sK60,sK60),X0),sK11(app(sK60,sK60),sK60))
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK60),sK60))
| ~ ssList(app(app(sK60,sK11(app(sK60,sK60),sK60)),X0)) ),
inference(superposition,[status(thm)],[c_214622,c_67]) ).
tcf(c_214627,plain,
! [X0: $i] :
( memberP(sK60,X0)
| memberP(sK11(app(sK60,sK60),sK60),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ memberP(app(sK60,sK60),X0)
| ~ ssList(sK11(app(sK60,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_214622,c_167]) ).
tcf(c_214628,plain,
( ( nil = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK60),sK60))
| ( app(sK60,sK60) != nil ) ),
inference(superposition,[status(thm)],[c_214622,c_231]) ).
tcf(c_214629,plain,
( ( sK11(app(sK60,sK60),sK60) = nil )
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK60),sK60))
| ( app(sK60,sK60) != nil ) ),
inference(superposition,[status(thm)],[c_214622,c_230]) ).
tcf(c_214630,plain,
( frontsegP(app(sK60,sK60),sK60)
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_214622,c_378]) ).
tcf(c_214631,plain,
( rearsegP(app(sK60,sK60),sK11(app(sK60,sK60),sK60))
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_214622,c_375]) ).
tcf(c_214632,plain,
( ssList(app(sK60,sK60))
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_214622,c_153]) ).
tcf(c_214633,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK60),sK60))
| ( app(X0,sK11(app(sK60,sK60),sK60)) != app(sK60,sK60) ) ),
inference(superposition,[status(thm)],[c_214622,c_225]) ).
tcf(c_214634,plain,
! [X0: $i] :
( ( sK11(app(sK60,sK60),sK60) = X0 )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK60),sK60))
| ( app(sK60,X0) != app(sK60,sK60) ) ),
inference(superposition,[status(thm)],[c_214622,c_226]) ).
tcf(c_214635,plain,
! [X0: $i] :
( frontsegP(app(sK60,sK60),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ frontsegP(sK60,X0)
| ~ ssList(sK11(app(sK60,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_214622,c_176]) ).
tcf(c_214636,plain,
! [X0: $i] :
( memberP(app(sK60,sK60),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(sK11(app(sK60,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_214622,c_165]) ).
tcf(c_214637,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK60,sK60),X1),X0)
| ~ ssList(sK60)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK60),sK60))
| ~ segmentP(sK11(app(sK60,sK60),sK60),X0) ),
inference(superposition,[status(thm)],[c_214622,c_193]) ).
tcf(c_214638,plain,
! [X0: $i] :
( rearsegP(app(sK60,sK60),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK60),sK60))
| ~ rearsegP(sK11(app(sK60,sK60),sK60),X0) ),
inference(superposition,[status(thm)],[c_214622,c_186]) ).
tcf(c_214639,plain,
! [X0: $i] :
( memberP(app(sK60,sK60),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ ssList(sK11(app(sK60,sK60),sK60))
| ~ memberP(sK11(app(sK60,sK60),sK60),X0) ),
inference(superposition,[status(thm)],[c_214622,c_166]) ).
tcf(c_214640,plain,
( ( sK11(app(sK60,sK60),sK60) = nil )
| ~ ssList(sK11(app(sK60,sK60),sK60))
| ( app(sK60,sK60) != sK60 ) ),
inference(superposition,[status(thm)],[c_214622,c_186951]) ).
tcf(c_214641,plain,
( segmentP(app(sK60,sK60),sK60)
| ~ ssList(sK11(app(sK60,sK60),sK60))
| ~ ssList(app(sK60,sK11(app(sK60,sK60),sK60))) ),
inference(superposition,[status(thm)],[c_214622,c_188131]) ).
tcf(c_214642,plain,
! [X0: $i] :
( segmentP(app(sK60,sK60),X0)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(sK11(app(sK60,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_214622,c_189082]) ).
tcf(c_214643,plain,
! [X0: $i] :
( segmentP(app(sK60,sK60),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK60,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_214622,c_189062]) ).
tcf(c_214644,plain,
( ssList(app(sK60,sK60))
| ~ ssList(sK11(app(sK60,sK60),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214632,c_12927]) ).
tcf(c_214647,plain,
( frontsegP(app(sK60,sK60),sK60)
| ~ ssList(sK11(app(sK60,sK60),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214630,c_12927]) ).
tcf(c_214658,plain,
( rearsegP(app(sK60,sK60),sK11(app(sK60,sK60),sK60))
| ~ ssList(sK11(app(sK60,sK60),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214631,c_12927]) ).
tcf(c_214661,plain,
( segmentP(app(sK60,sK60),sK60)
| ~ ssList(app(sK60,sK60))
| ~ ssList(sK11(app(sK60,sK60),sK60)) ),
inference(light_normalisation,[status(thm)],[c_214641,c_214622]) ).
tcf(c_214665,plain,
( ( nil = sK60 )
| ~ ssList(sK11(app(sK60,sK60),sK60))
| ( app(sK60,sK60) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214628,c_12927]) ).
tcf(c_214672,plain,
! [X0: $i] :
( memberP(app(sK60,sK60),X0)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(sK11(app(sK60,sK60),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214636,c_12927]) ).
tcf(c_214677,plain,
! [X0: $i] :
( frontsegP(app(sK60,sK60),X0)
| ~ ssList(X0)
| ~ frontsegP(sK60,X0)
| ~ ssList(sK11(app(sK60,sK60),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214635,c_12927]) ).
tcf(c_214682,plain,
( ( sK11(app(sK60,sK60),sK60) = nil )
| ~ ssList(sK11(app(sK60,sK60),sK60))
| ( app(sK60,sK60) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214629,c_12927]) ).
tcf(c_214686,plain,
! [X0: $i] :
( memberP(app(sK60,sK60),X0)
| ~ ssItem(X0)
| ~ ssList(sK11(app(sK60,sK60),sK60))
| ~ memberP(sK11(app(sK60,sK60),sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214639,c_12927]) ).
tcf(c_214691,plain,
! [X0: $i] :
( rearsegP(app(sK60,sK60),X0)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK60),sK60))
| ~ rearsegP(sK11(app(sK60,sK60),sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214638,c_12927]) ).
tcf(c_214696,plain,
! [X0: $i] :
( memberP(sK60,X0)
| memberP(sK11(app(sK60,sK60),sK60),X0)
| ~ ssItem(X0)
| ~ memberP(app(sK60,sK60),X0)
| ~ ssList(sK11(app(sK60,sK60),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214627,c_12927]) ).
tcf(c_214702,plain,
! [X0: $i] :
( ( sK11(app(sK60,sK60),sK60) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK60),sK60))
| ( app(sK60,X0) != app(sK60,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214634,c_12927]) ).
tcf(c_214707,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK60),sK60))
| ( app(X0,sK11(app(sK60,sK60),sK60)) != app(sK60,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214633,c_12927]) ).
tcf(c_214712,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK60,sK60),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK60),sK60))
| ~ segmentP(sK11(app(sK60,sK60),sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214637,c_12927]) ).
tcf(c_214718,plain,
! [X0: $i] :
( segmentP(app(app(sK60,sK60),X0),sK11(app(sK60,sK60),sK60))
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK60),sK60))
| ~ ssList(app(app(sK60,sK60),X0)) ),
inference(light_normalisation,[status(thm)],[c_214624,c_214622]) ).
tcf(c_214719,plain,
! [X0: $i] :
( segmentP(app(app(sK60,sK60),X0),sK11(app(sK60,sK60),sK60))
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK60),sK60))
| ~ ssList(app(app(sK60,sK60),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214718,c_12927]) ).
tcf(c_214978,plain,
! [X0: $i] :
( rearsegP(app(sK60,sK60),X0)
| ~ ssList(X0)
| ~ ssList(app(sK60,sK60))
| ~ ssList(sK11(app(sK60,sK60),sK60))
| ~ rearsegP(sK11(app(sK60,sK60),sK60),X0) ),
inference(superposition,[status(thm)],[c_214658,c_183]) ).
tcf(c_214979,plain,
( ( sK11(app(sK60,sK60),sK60) = app(sK60,sK60) )
| ~ ssList(app(sK60,sK60))
| ~ ssList(sK11(app(sK60,sK60),sK60))
| ~ rearsegP(sK11(app(sK60,sK60),sK60),app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_214658,c_184]) ).
tcf(c_214980,plain,
( ( app(sK12(app(sK60,sK60),sK11(app(sK60,sK60),sK60)),sK11(app(sK60,sK60),sK60)) = app(sK60,sK60) )
| ~ ssList(app(sK60,sK60))
| ~ ssList(sK11(app(sK60,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_214658,c_66]) ).
tcf(c_215007,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK60,sK60),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sK60,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_200515,c_173]) ).
tcf(c_215008,plain,
! [X0: $i] :
( ( app(sK60,sK60) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sK60,X0)
| ~ ssList(app(sK60,sK60))
| ~ frontsegP(X0,app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_200515,c_174]) ).
tcf(c_215009,plain,
! [X0: $i] :
( ( app(X0,sK11(app(sK60,sK60),X0)) = app(sK60,sK60) )
| ~ ssList(X0)
| ~ frontsegP(sK60,X0)
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_200515,c_63]) ).
tcf(c_215031,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60)))
| ~ ssList(app(app(X0,cons(sK50(tl(sK60)),X1)),tl(sK60)))
| ~ duplicatefreeP(app(app(X0,cons(sK50(tl(sK60)),X1)),cons(sK50(tl(sK60)),sK49(tl(sK60))))) ),
inference(superposition,[status(thm)],[c_176058,c_130]) ).
tcf(c_215032,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK50(tl(sK60)),X1)
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60)))
| ~ ssList(app(app(X0,tl(sK60)),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(sK50(tl(sK60)),sK49(tl(sK60)))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_176058,c_122]) ).
tcf(c_215033,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK50(tl(sK60)),X1)
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60)))
| ~ ssList(app(app(X0,tl(sK60)),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(sK50(tl(sK60)),sK49(tl(sK60)))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_176058,c_114]) ).
tcf(c_215034,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60)))
| ~ ssList(app(app(X0,tl(sK60)),cons(sK50(tl(sK60)),X1)))
| ~ duplicatefreeP(app(app(X0,cons(sK50(tl(sK60)),sK49(tl(sK60)))),cons(sK50(tl(sK60)),X1))) ),
inference(superposition,[status(thm)],[c_176058,c_130]) ).
tcf(c_215038,plain,
! [X0: $i] :
( memberP(app(X0,tl(sK60)),sK50(tl(sK60)))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60)))
| ~ ssList(app(X0,cons(sK50(tl(sK60)),sK49(tl(sK60))))) ),
inference(superposition,[status(thm)],[c_176058,c_54]) ).
tcf(c_215039,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(tl(sK60)))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60)))
| ~ ssList(app(app(X0,cons(X1,X2)),tl(sK60)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(sK50(tl(sK60)),sK49(tl(sK60))))) ),
inference(superposition,[status(thm)],[c_176058,c_122]) ).
tcf(c_215040,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(tl(sK60)))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60)))
| ~ ssList(app(app(X0,cons(X1,X2)),tl(sK60)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(sK50(tl(sK60)),sK49(tl(sK60))))) ),
inference(superposition,[status(thm)],[c_176058,c_114]) ).
tcf(c_215044,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( sK50(tl(sK60)) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60)))
| ~ ssList(app(X0,cons(X1,tl(sK60))))
| ~ equalelemsP(app(X0,cons(X1,cons(sK50(tl(sK60)),sK49(tl(sK60)))))) ),
inference(superposition,[status(thm)],[c_176058,c_137]) ).
tcf(c_215047,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( sK50(tl(sK60)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60)))
| ~ frontsegP(cons(X0,X1),tl(sK60)) ),
inference(superposition,[status(thm)],[c_176058,c_178]) ).
tcf(c_215048,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,sK49(tl(sK60)))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60)))
| ~ frontsegP(cons(X0,X1),tl(sK60)) ),
inference(superposition,[status(thm)],[c_176058,c_179]) ).
tcf(c_215049,plain,
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( sK49(tl(sK60)) = nil )
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60)))
| ( tl(sK60) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_176058,c_190118]) ).
tcf(c_215050,plain,
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( sK50(tl(sK60)) = sK57 )
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60)))
| ( tl(sK60) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_176058,c_189982]) ).
tcf(c_215051,plain,
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( sK50(tl(sK60)) = sK57 )
| ~ frontsegP(iPr_def_10,tl(sK60))
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60))) ),
inference(superposition,[status(thm)],[c_176058,c_189539]) ).
tcf(c_215052,plain,
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( sK50(tl(sK60)) = sK57 )
| ~ frontsegP(tl(sK60),iPr_def_10)
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60))) ),
inference(superposition,[status(thm)],[c_176058,c_189534]) ).
tcf(c_215053,plain,
( frontsegP(nil,sK49(tl(sK60)))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ frontsegP(iPr_def_10,tl(sK60))
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60))) ),
inference(superposition,[status(thm)],[c_176058,c_188786]) ).
tcf(c_215054,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( sK49(tl(sK60)) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60)))
| ( cons(X0,X1) != tl(sK60) ) ),
inference(superposition,[status(thm)],[c_176058,c_144]) ).
tcf(c_215055,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( sK50(tl(sK60)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60)))
| ( cons(X0,X1) != tl(sK60) ) ),
inference(superposition,[status(thm)],[c_176058,c_143]) ).
tcf(c_215056,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( sK50(tl(sK60)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60)))
| ~ frontsegP(tl(sK60),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_176058,c_178]) ).
tcf(c_215057,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK49(tl(sK60)),X1)
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60)))
| ~ frontsegP(tl(sK60),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_176058,c_179]) ).
tcf(c_215058,plain,
! [X0: $i] :
( memberP(sK49(tl(sK60)),X0)
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ( sK50(tl(sK60)) = X0 )
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60)))
| ~ memberP(tl(sK60),X0) ),
inference(superposition,[status(thm)],[c_176058,c_170]) ).
tcf(c_215059,plain,
( lt(sK50(tl(sK60)),hd(sK49(tl(sK60))))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ( sK49(tl(sK60)) = nil )
| ~ strictorderedP(tl(sK60))
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60))) ),
inference(superposition,[status(thm)],[c_176058,c_214]) ).
tcf(c_215060,plain,
( leq(sK50(tl(sK60)),hd(sK49(tl(sK60))))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ( sK49(tl(sK60)) = nil )
| ~ totalorderedP(tl(sK60))
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60))) ),
inference(superposition,[status(thm)],[c_176058,c_208]) ).
tcf(c_215061,plain,
( strictorderedP(sK49(tl(sK60)))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ( sK49(tl(sK60)) = nil )
| ~ strictorderedP(tl(sK60))
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60))) ),
inference(superposition,[status(thm)],[c_176058,c_213]) ).
tcf(c_215062,plain,
( totalorderedP(sK49(tl(sK60)))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ( sK49(tl(sK60)) = nil )
| ~ totalorderedP(tl(sK60))
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60))) ),
inference(superposition,[status(thm)],[c_176058,c_207]) ).
tcf(c_215064,plain,
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60)))
| ( sK49(tl(sK60)) != tl(sK60) ) ),
inference(superposition,[status(thm)],[c_176058,c_142]) ).
tcf(c_215065,plain,
( memberP(tl(sK60),sK50(tl(sK60)))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60))) ),
inference(superposition,[status(thm)],[c_176058,c_168]) ).
tcf(c_215067,plain,
! [X0: $i] :
( frontsegP(tl(sK60),cons(sK50(tl(sK60)),X0))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60)))
| ~ frontsegP(sK49(tl(sK60)),X0) ),
inference(superposition,[status(thm)],[c_176058,c_177]) ).
tcf(c_215068,plain,
! [X0: $i] :
( memberP(tl(sK60),X0)
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60)))
| ~ memberP(sK49(tl(sK60)),X0) ),
inference(superposition,[status(thm)],[c_176058,c_169]) ).
tcf(c_215069,plain,
! [X0: $i] :
( frontsegP(cons(sK50(tl(sK60)),X0),tl(sK60))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60)))
| ~ frontsegP(X0,sK49(tl(sK60))) ),
inference(superposition,[status(thm)],[c_176058,c_177]) ).
tcf(c_215419,plain,
frontsegP(nil,sK12(nil,nil)),
inference(global_subsumption_just,[status(thm)],[c_185570,c_141,c_188,c_323,c_31072]) ).
tcf(c_215422,plain,
( ( sK12(nil,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK12(nil,nil))
| ~ frontsegP(sK12(nil,nil),nil) ),
inference(superposition,[status(thm)],[c_215419,c_174]) ).
tcf(c_215423,plain,
( ( app(sK12(nil,nil),sK11(nil,sK12(nil,nil))) = nil )
| ~ ssList(nil)
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_215419,c_63]) ).
tcf(c_215424,plain,
( frontsegP(iPr_def_10,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_215419,c_178535]) ).
tcf(c_215425,plain,
( frontsegP(iPr_def_13,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_215419,c_178519]) ).
tcf(c_215426,plain,
( frontsegP(iPr_def_11,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_215419,c_178515]) ).
tcf(c_215427,plain,
( frontsegP(iPr_def_12,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_215419,c_178511]) ).
tcf(c_215428,plain,
( frontsegP(sK60,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_215419,c_178531]) ).
tcf(c_215429,plain,
( frontsegP(sK59,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_215419,c_178527]) ).
tcf(c_215430,plain,
( frontsegP(sK56,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_215419,c_178523]) ).
tcf(c_215446,plain,
( ( app(sK12(nil,nil),sK11(nil,sK12(nil,nil))) = nil )
| ~ ssList(sK12(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215423,c_141]) ).
tcf(c_215454,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_185596,c_173]) ).
tcf(c_215455,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_185596,c_174]) ).
tcf(c_215456,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_185596,c_63]) ).
tcf(c_215457,plain,
( frontsegP(iPr_def_13,sK12(iPr_def_12,nil))
| ~ ssList(sK12(iPr_def_12,nil)) ),
inference(superposition,[status(thm)],[c_185596,c_178539]) ).
tcf(c_215460,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_215456,c_173203]) ).
tcf(c_215463,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_215455,c_173203]) ).
tcf(c_215551,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_185626,c_173]) ).
tcf(c_215552,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_185626,c_174]) ).
tcf(c_215553,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_185626,c_63]) ).
tcf(c_215554,plain,
( frontsegP(iPr_def_13,sK12(iPr_def_11,nil))
| ~ ssList(sK12(iPr_def_11,nil)) ),
inference(superposition,[status(thm)],[c_185626,c_181375]) ).
tcf(c_215555,plain,
( frontsegP(iPr_def_12,sK12(iPr_def_11,nil))
| ~ ssList(sK12(iPr_def_11,nil)) ),
inference(superposition,[status(thm)],[c_185626,c_178543]) ).
tcf(c_215560,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_215553,c_173202]) ).
tcf(c_215563,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_215552,c_173202]) ).
tcf(c_215617,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_187370,c_173]) ).
tcf(c_215618,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_187370,c_174]) ).
tcf(c_215619,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_187370,c_63]) ).
tcf(c_215620,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_215619,c_173031]) ).
tcf(c_215623,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_215618,c_173031]) ).
tcf(c_215691,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_207920,c_223]) ).
tcf(c_215692,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_207920,c_212]) ).
tcf(c_215693,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_207920,c_206]) ).
tcf(c_215706,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_215691,c_207919]) ).
tcf(c_215716,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(iPr_def_10,cons(sK57,sK60)) = nil )
| ( app(iPr_def_10,cons(sK57,sK60)) = X0 )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,cons(sK57,sK60)))
| ( hd(X0) != sK57 )
| ( tl(app(iPr_def_10,cons(sK57,sK60))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_210553,c_223]) ).
tcf(c_215717,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_10,cons(sK57,sK60))))
| ( app(iPr_def_10,cons(sK57,sK60)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(app(iPr_def_10,cons(sK57,sK60)))
| ~ ssList(app(iPr_def_10,cons(sK57,sK60))) ),
inference(superposition,[status(thm)],[c_210553,c_212]) ).
tcf(c_215718,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_10,cons(sK57,sK60))))
| ( app(iPr_def_10,cons(sK57,sK60)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(app(iPr_def_10,cons(sK57,sK60)))
| ~ ssList(app(iPr_def_10,cons(sK57,sK60))) ),
inference(superposition,[status(thm)],[c_210553,c_206]) ).
tcf(c_215740,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(iPr_def_10,cons(sK57,sK59)) = nil )
| ( app(iPr_def_10,cons(sK57,sK59)) = X0 )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,cons(sK57,sK59)))
| ( hd(X0) != sK57 )
| ( tl(app(iPr_def_10,cons(sK57,sK59))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_210554,c_223]) ).
tcf(c_215741,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_10,cons(sK57,sK59))))
| ( app(iPr_def_10,cons(sK57,sK59)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(app(iPr_def_10,cons(sK57,sK59)))
| ~ ssList(app(iPr_def_10,cons(sK57,sK59))) ),
inference(superposition,[status(thm)],[c_210554,c_212]) ).
tcf(c_215742,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_10,cons(sK57,sK59))))
| ( app(iPr_def_10,cons(sK57,sK59)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(app(iPr_def_10,cons(sK57,sK59)))
| ~ ssList(app(iPr_def_10,cons(sK57,sK59))) ),
inference(superposition,[status(thm)],[c_210554,c_206]) ).
tcf(c_215764,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(iPr_def_10,cons(sK57,sK56)) = nil )
| ( app(iPr_def_10,cons(sK57,sK56)) = X0 )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,cons(sK57,sK56)))
| ( hd(X0) != sK57 )
| ( tl(app(iPr_def_10,cons(sK57,sK56))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_210555,c_223]) ).
tcf(c_215765,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_10,cons(sK57,sK56))))
| ( app(iPr_def_10,cons(sK57,sK56)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(app(iPr_def_10,cons(sK57,sK56)))
| ~ ssList(app(iPr_def_10,cons(sK57,sK56))) ),
inference(superposition,[status(thm)],[c_210555,c_212]) ).
tcf(c_215766,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_10,cons(sK57,sK56))))
| ( app(iPr_def_10,cons(sK57,sK56)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(app(iPr_def_10,cons(sK57,sK56)))
| ~ ssList(app(iPr_def_10,cons(sK57,sK56))) ),
inference(superposition,[status(thm)],[c_210555,c_206]) ).
tcf(c_215786,plain,
app(sK59,sK11(app(sK59,sK60),sK59)) = app(sK59,sK60),
inference(global_subsumption_just,[status(thm)],[c_200544,c_63272]) ).
tcf(c_215788,plain,
! [X0: $i] :
( segmentP(app(app(sK59,sK60),X0),sK11(app(sK59,sK60),sK59))
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK60),sK59))
| ~ ssList(app(app(sK59,sK11(app(sK59,sK60),sK59)),X0)) ),
inference(superposition,[status(thm)],[c_215786,c_67]) ).
tcf(c_215791,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK11(app(sK59,sK60),sK59),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(app(sK59,sK60),X0)
| ~ ssList(sK11(app(sK59,sK60),sK59)) ),
inference(superposition,[status(thm)],[c_215786,c_167]) ).
tcf(c_215792,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK60),sK59))
| ( app(sK59,sK60) != nil ) ),
inference(superposition,[status(thm)],[c_215786,c_231]) ).
tcf(c_215793,plain,
( ( sK11(app(sK59,sK60),sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK60),sK59))
| ( app(sK59,sK60) != nil ) ),
inference(superposition,[status(thm)],[c_215786,c_230]) ).
tcf(c_215794,plain,
( frontsegP(app(sK59,sK60),sK59)
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK60),sK59)) ),
inference(superposition,[status(thm)],[c_215786,c_378]) ).
tcf(c_215795,plain,
( rearsegP(app(sK59,sK60),sK11(app(sK59,sK60),sK59))
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK60),sK59)) ),
inference(superposition,[status(thm)],[c_215786,c_375]) ).
tcf(c_215796,plain,
( ssList(app(sK59,sK60))
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK60),sK59)) ),
inference(superposition,[status(thm)],[c_215786,c_153]) ).
tcf(c_215797,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK60),sK59))
| ( app(X0,sK11(app(sK59,sK60),sK59)) != app(sK59,sK60) ) ),
inference(superposition,[status(thm)],[c_215786,c_225]) ).
tcf(c_215798,plain,
! [X0: $i] :
( ( sK11(app(sK59,sK60),sK59) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK60),sK59))
| ( app(sK59,X0) != app(sK59,sK60) ) ),
inference(superposition,[status(thm)],[c_215786,c_226]) ).
tcf(c_215799,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK60),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(sK11(app(sK59,sK60),sK59)) ),
inference(superposition,[status(thm)],[c_215786,c_176]) ).
tcf(c_215800,plain,
! [X0: $i] :
( memberP(app(sK59,sK60),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK11(app(sK59,sK60),sK59)) ),
inference(superposition,[status(thm)],[c_215786,c_165]) ).
tcf(c_215801,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK59,sK60),X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK60),sK59))
| ~ segmentP(sK11(app(sK59,sK60),sK59),X0) ),
inference(superposition,[status(thm)],[c_215786,c_193]) ).
tcf(c_215802,plain,
! [X0: $i] :
( rearsegP(app(sK59,sK60),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK60),sK59))
| ~ rearsegP(sK11(app(sK59,sK60),sK59),X0) ),
inference(superposition,[status(thm)],[c_215786,c_186]) ).
tcf(c_215803,plain,
! [X0: $i] :
( memberP(app(sK59,sK60),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(sK11(app(sK59,sK60),sK59))
| ~ memberP(sK11(app(sK59,sK60),sK59),X0) ),
inference(superposition,[status(thm)],[c_215786,c_166]) ).
tcf(c_215804,plain,
( ( sK11(app(sK59,sK60),sK59) = iPr_def_10 )
| ~ ssList(sK11(app(sK59,sK60),sK59))
| ( app(sK59,sK60) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_215786,c_186983]) ).
tcf(c_215805,plain,
( ( sK11(app(sK59,sK60),sK59) = nil )
| ~ ssList(sK11(app(sK59,sK60),sK59))
| ( app(sK59,sK60) != sK59 ) ),
inference(superposition,[status(thm)],[c_215786,c_186947]) ).
tcf(c_215806,plain,
( segmentP(app(sK59,sK60),sK59)
| ~ ssList(sK11(app(sK59,sK60),sK59))
| ~ ssList(app(sK59,sK11(app(sK59,sK60),sK59))) ),
inference(superposition,[status(thm)],[c_215786,c_188126]) ).
tcf(c_215807,plain,
! [X0: $i] :
( segmentP(app(sK59,sK60),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK11(app(sK59,sK60),sK59)) ),
inference(superposition,[status(thm)],[c_215786,c_189077]) ).
tcf(c_215808,plain,
! [X0: $i] :
( segmentP(app(sK59,sK60),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK59,sK60),sK59)) ),
inference(superposition,[status(thm)],[c_215786,c_189057]) ).
tcf(c_215809,plain,
( ssList(app(sK59,sK60))
| ~ ssList(sK11(app(sK59,sK60),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215796,c_12926]) ).
tcf(c_215812,plain,
( frontsegP(app(sK59,sK60),sK59)
| ~ ssList(sK11(app(sK59,sK60),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215794,c_12926]) ).
tcf(c_215823,plain,
( rearsegP(app(sK59,sK60),sK11(app(sK59,sK60),sK59))
| ~ ssList(sK11(app(sK59,sK60),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215795,c_12926]) ).
tcf(c_215826,plain,
( segmentP(app(sK59,sK60),sK59)
| ~ ssList(app(sK59,sK60))
| ~ ssList(sK11(app(sK59,sK60),sK59)) ),
inference(light_normalisation,[status(thm)],[c_215806,c_215786]) ).
tcf(c_215830,plain,
( ( nil = sK59 )
| ~ ssList(sK11(app(sK59,sK60),sK59))
| ( app(sK59,sK60) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215792,c_12926]) ).
tcf(c_215840,plain,
! [X0: $i] :
( memberP(app(sK59,sK60),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK11(app(sK59,sK60),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215800,c_12926]) ).
tcf(c_215845,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK60),X0)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(sK11(app(sK59,sK60),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215799,c_12926]) ).
tcf(c_215850,plain,
( ( sK11(app(sK59,sK60),sK59) = nil )
| ~ ssList(sK11(app(sK59,sK60),sK59))
| ( app(sK59,sK60) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215793,c_12926]) ).
tcf(c_215854,plain,
! [X0: $i] :
( memberP(app(sK59,sK60),X0)
| ~ ssItem(X0)
| ~ ssList(sK11(app(sK59,sK60),sK59))
| ~ memberP(sK11(app(sK59,sK60),sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215803,c_12926]) ).
tcf(c_215859,plain,
! [X0: $i] :
( rearsegP(app(sK59,sK60),X0)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK60),sK59))
| ~ rearsegP(sK11(app(sK59,sK60),sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215802,c_12926]) ).
tcf(c_215864,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK11(app(sK59,sK60),sK59),X0)
| ~ ssItem(X0)
| ~ memberP(app(sK59,sK60),X0)
| ~ ssList(sK11(app(sK59,sK60),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215791,c_12926]) ).
tcf(c_215870,plain,
! [X0: $i] :
( ( sK11(app(sK59,sK60),sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK60),sK59))
| ( app(sK59,X0) != app(sK59,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215798,c_12926]) ).
tcf(c_215875,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK60),sK59))
| ( app(X0,sK11(app(sK59,sK60),sK59)) != app(sK59,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215797,c_12926]) ).
tcf(c_215880,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK59,sK60),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK60),sK59))
| ~ segmentP(sK11(app(sK59,sK60),sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215801,c_12926]) ).
tcf(c_215886,plain,
! [X0: $i] :
( segmentP(app(app(sK59,sK60),X0),sK11(app(sK59,sK60),sK59))
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK60),sK59))
| ~ ssList(app(app(sK59,sK60),X0)) ),
inference(light_normalisation,[status(thm)],[c_215788,c_215786]) ).
tcf(c_215887,plain,
! [X0: $i] :
( segmentP(app(app(sK59,sK60),X0),sK11(app(sK59,sK60),sK59))
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK60),sK59))
| ~ ssList(app(app(sK59,sK60),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215886,c_12926]) ).
tcf(c_215923,plain,
! [X0: $i] :
( rearsegP(app(sK59,sK60),X0)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK60))
| ~ ssList(sK11(app(sK59,sK60),sK59))
| ~ rearsegP(sK11(app(sK59,sK60),sK59),X0) ),
inference(superposition,[status(thm)],[c_215823,c_183]) ).
tcf(c_215924,plain,
( ( sK11(app(sK59,sK60),sK59) = app(sK59,sK60) )
| ~ ssList(app(sK59,sK60))
| ~ ssList(sK11(app(sK59,sK60),sK59))
| ~ rearsegP(sK11(app(sK59,sK60),sK59),app(sK59,sK60)) ),
inference(superposition,[status(thm)],[c_215823,c_184]) ).
tcf(c_215925,plain,
( ( app(sK12(app(sK59,sK60),sK11(app(sK59,sK60),sK59)),sK11(app(sK59,sK60),sK59)) = app(sK59,sK60) )
| ~ ssList(app(sK59,sK60))
| ~ ssList(sK11(app(sK59,sK60),sK59)) ),
inference(superposition,[status(thm)],[c_215823,c_66]) ).
tcf(c_215952,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK59,sK60),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(app(sK59,sK60)) ),
inference(superposition,[status(thm)],[c_200551,c_173]) ).
tcf(c_215953,plain,
! [X0: $i] :
( ( app(sK59,sK60) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK60))
| ~ frontsegP(X0,app(sK59,sK60)) ),
inference(superposition,[status(thm)],[c_200551,c_174]) ).
tcf(c_215954,plain,
! [X0: $i] :
( ( app(X0,sK11(app(sK59,sK60),X0)) = app(sK59,sK60) )
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK60)) ),
inference(superposition,[status(thm)],[c_200551,c_63]) ).
tcf(c_216065,plain,
app(sK56,sK11(app(sK56,sK60),sK56)) = app(sK56,sK60),
inference(global_subsumption_just,[status(thm)],[c_201292,c_68899]) ).
tcf(c_216067,plain,
! [X0: $i] :
( segmentP(app(app(sK56,sK60),X0),sK11(app(sK56,sK60),sK56))
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK60),sK56))
| ~ ssList(app(app(sK56,sK11(app(sK56,sK60),sK56)),X0)) ),
inference(superposition,[status(thm)],[c_216065,c_67]) ).
tcf(c_216070,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(sK11(app(sK56,sK60),sK56),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(app(sK56,sK60),X0)
| ~ ssList(sK11(app(sK56,sK60),sK56)) ),
inference(superposition,[status(thm)],[c_216065,c_167]) ).
tcf(c_216071,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK60),sK56))
| ( app(sK56,sK60) != nil ) ),
inference(superposition,[status(thm)],[c_216065,c_231]) ).
tcf(c_216072,plain,
( ( sK11(app(sK56,sK60),sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK60),sK56))
| ( app(sK56,sK60) != nil ) ),
inference(superposition,[status(thm)],[c_216065,c_230]) ).
tcf(c_216073,plain,
( frontsegP(app(sK56,sK60),sK56)
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK60),sK56)) ),
inference(superposition,[status(thm)],[c_216065,c_378]) ).
tcf(c_216074,plain,
( rearsegP(app(sK56,sK60),sK11(app(sK56,sK60),sK56))
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK60),sK56)) ),
inference(superposition,[status(thm)],[c_216065,c_375]) ).
tcf(c_216075,plain,
( ssList(app(sK56,sK60))
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK60),sK56)) ),
inference(superposition,[status(thm)],[c_216065,c_153]) ).
tcf(c_216076,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK60),sK56))
| ( app(X0,sK11(app(sK56,sK60),sK56)) != app(sK56,sK60) ) ),
inference(superposition,[status(thm)],[c_216065,c_225]) ).
tcf(c_216077,plain,
! [X0: $i] :
( ( sK11(app(sK56,sK60),sK56) = X0 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK60),sK56))
| ( app(sK56,X0) != app(sK56,sK60) ) ),
inference(superposition,[status(thm)],[c_216065,c_226]) ).
tcf(c_216078,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK60),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(sK11(app(sK56,sK60),sK56)) ),
inference(superposition,[status(thm)],[c_216065,c_176]) ).
tcf(c_216079,plain,
! [X0: $i] :
( memberP(app(sK56,sK60),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK11(app(sK56,sK60),sK56)) ),
inference(superposition,[status(thm)],[c_216065,c_165]) ).
tcf(c_216080,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK56,sK60),X1),X0)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK60),sK56))
| ~ segmentP(sK11(app(sK56,sK60),sK56),X0) ),
inference(superposition,[status(thm)],[c_216065,c_193]) ).
tcf(c_216081,plain,
! [X0: $i] :
( rearsegP(app(sK56,sK60),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK60),sK56))
| ~ rearsegP(sK11(app(sK56,sK60),sK56),X0) ),
inference(superposition,[status(thm)],[c_216065,c_186]) ).
tcf(c_216082,plain,
! [X0: $i] :
( memberP(app(sK56,sK60),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(sK11(app(sK56,sK60),sK56))
| ~ memberP(sK11(app(sK56,sK60),sK56),X0) ),
inference(superposition,[status(thm)],[c_216065,c_166]) ).
tcf(c_216083,plain,
( ( sK11(app(sK56,sK60),sK56) = nil )
| ~ ssList(sK11(app(sK56,sK60),sK56))
| ( app(sK56,sK60) != sK56 ) ),
inference(superposition,[status(thm)],[c_216065,c_186943]) ).
tcf(c_216084,plain,
( segmentP(app(sK56,sK60),sK56)
| ~ ssList(sK11(app(sK56,sK60),sK56))
| ~ ssList(app(sK56,sK11(app(sK56,sK60),sK56))) ),
inference(superposition,[status(thm)],[c_216065,c_188121]) ).
tcf(c_216085,plain,
! [X0: $i] :
( segmentP(app(sK56,sK60),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(sK11(app(sK56,sK60),sK56)) ),
inference(superposition,[status(thm)],[c_216065,c_189072]) ).
tcf(c_216086,plain,
! [X0: $i] :
( segmentP(app(sK56,sK60),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK56,sK60),sK56)) ),
inference(superposition,[status(thm)],[c_216065,c_189052]) ).
tcf(c_216087,plain,
( ssList(app(sK56,sK60))
| ~ ssList(sK11(app(sK56,sK60),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216075,c_12924]) ).
tcf(c_216090,plain,
( frontsegP(app(sK56,sK60),sK56)
| ~ ssList(sK11(app(sK56,sK60),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216073,c_12924]) ).
tcf(c_216101,plain,
( rearsegP(app(sK56,sK60),sK11(app(sK56,sK60),sK56))
| ~ ssList(sK11(app(sK56,sK60),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216074,c_12924]) ).
tcf(c_216104,plain,
( segmentP(app(sK56,sK60),sK56)
| ~ ssList(app(sK56,sK60))
| ~ ssList(sK11(app(sK56,sK60),sK56)) ),
inference(light_normalisation,[status(thm)],[c_216084,c_216065]) ).
tcf(c_216108,plain,
( ( nil = sK56 )
| ~ ssList(sK11(app(sK56,sK60),sK56))
| ( app(sK56,sK60) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216071,c_12924]) ).
tcf(c_216115,plain,
! [X0: $i] :
( memberP(app(sK56,sK60),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK11(app(sK56,sK60),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216079,c_12924]) ).
tcf(c_216120,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK60),X0)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(sK11(app(sK56,sK60),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216078,c_12924]) ).
tcf(c_216125,plain,
( ( sK11(app(sK56,sK60),sK56) = nil )
| ~ ssList(sK11(app(sK56,sK60),sK56))
| ( app(sK56,sK60) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216072,c_12924]) ).
tcf(c_216129,plain,
! [X0: $i] :
( memberP(app(sK56,sK60),X0)
| ~ ssItem(X0)
| ~ ssList(sK11(app(sK56,sK60),sK56))
| ~ memberP(sK11(app(sK56,sK60),sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216082,c_12924]) ).
tcf(c_216134,plain,
! [X0: $i] :
( rearsegP(app(sK56,sK60),X0)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK60),sK56))
| ~ rearsegP(sK11(app(sK56,sK60),sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216081,c_12924]) ).
tcf(c_216139,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(sK11(app(sK56,sK60),sK56),X0)
| ~ ssItem(X0)
| ~ memberP(app(sK56,sK60),X0)
| ~ ssList(sK11(app(sK56,sK60),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216070,c_12924]) ).
tcf(c_216145,plain,
! [X0: $i] :
( ( sK11(app(sK56,sK60),sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK60),sK56))
| ( app(sK56,X0) != app(sK56,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216077,c_12924]) ).
tcf(c_216150,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK60),sK56))
| ( app(X0,sK11(app(sK56,sK60),sK56)) != app(sK56,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216076,c_12924]) ).
tcf(c_216155,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK56,sK60),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK60),sK56))
| ~ segmentP(sK11(app(sK56,sK60),sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216080,c_12924]) ).
tcf(c_216161,plain,
! [X0: $i] :
( segmentP(app(app(sK56,sK60),X0),sK11(app(sK56,sK60),sK56))
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK60),sK56))
| ~ ssList(app(app(sK56,sK60),X0)) ),
inference(light_normalisation,[status(thm)],[c_216067,c_216065]) ).
tcf(c_216162,plain,
! [X0: $i] :
( segmentP(app(app(sK56,sK60),X0),sK11(app(sK56,sK60),sK56))
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK60),sK56))
| ~ ssList(app(app(sK56,sK60),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216161,c_12924]) ).
tcf(c_216210,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_176059,c_130]) ).
tcf(c_216211,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_176059,c_122]) ).
tcf(c_216212,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_176059,c_114]) ).
tcf(c_216213,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_176059,c_130]) ).
tcf(c_216217,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_176059,c_54]) ).
tcf(c_216218,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_176059,c_122]) ).
tcf(c_216219,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_176059,c_114]) ).
tcf(c_216223,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_176059,c_137]) ).
tcf(c_216226,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_176059,c_178]) ).
tcf(c_216227,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_176059,c_179]) ).
tcf(c_216228,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( sK49(tl(sK59)) = nil )
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ( tl(sK59) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_176059,c_190118]) ).
tcf(c_216229,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( sK50(tl(sK59)) = sK57 )
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ( tl(sK59) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_176059,c_189982]) ).
tcf(c_216230,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( sK50(tl(sK59)) = sK57 )
| ~ frontsegP(iPr_def_10,tl(sK59))
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59))) ),
inference(superposition,[status(thm)],[c_176059,c_189539]) ).
tcf(c_216231,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( sK50(tl(sK59)) = sK57 )
| ~ frontsegP(tl(sK59),iPr_def_10)
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59))) ),
inference(superposition,[status(thm)],[c_176059,c_189534]) ).
tcf(c_216232,plain,
( frontsegP(nil,sK49(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ frontsegP(iPr_def_10,tl(sK59))
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59))) ),
inference(superposition,[status(thm)],[c_176059,c_188786]) ).
tcf(c_216233,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_176059,c_144]) ).
tcf(c_216234,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_176059,c_143]) ).
tcf(c_216235,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_176059,c_178]) ).
tcf(c_216236,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_176059,c_179]) ).
tcf(c_216237,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_176059,c_170]) ).
tcf(c_216238,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_176059,c_214]) ).
tcf(c_216239,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_176059,c_208]) ).
tcf(c_216240,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_176059,c_213]) ).
tcf(c_216241,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_176059,c_207]) ).
tcf(c_216243,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ( sK49(tl(sK59)) != tl(sK59) ) ),
inference(superposition,[status(thm)],[c_176059,c_142]) ).
tcf(c_216244,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_176059,c_168]) ).
tcf(c_216246,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_176059,c_177]) ).
tcf(c_216247,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_176059,c_169]) ).
tcf(c_216248,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_176059,c_177]) ).
tcf(c_216768,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_13,nil))
| ~ frontsegP(sK12(iPr_def_13,nil),X0) ),
inference(superposition,[status(thm)],[c_187523,c_173]) ).
tcf(c_216769,plain,
( ( sK12(iPr_def_13,nil) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK12(iPr_def_13,nil))
| ~ frontsegP(sK12(iPr_def_13,nil),iPr_def_13) ),
inference(superposition,[status(thm)],[c_187523,c_174]) ).
tcf(c_216770,plain,
( ( app(sK12(iPr_def_13,nil),sK11(iPr_def_13,sK12(iPr_def_13,nil))) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK12(iPr_def_13,nil)) ),
inference(superposition,[status(thm)],[c_187523,c_63]) ).
tcf(c_216771,plain,
( ( app(sK12(iPr_def_13,nil),sK11(iPr_def_13,sK12(iPr_def_13,nil))) = iPr_def_13 )
| ~ ssList(sK12(iPr_def_13,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216770,c_172540]) ).
tcf(c_216774,plain,
( ( sK12(iPr_def_13,nil) = iPr_def_13 )
| ~ ssList(sK12(iPr_def_13,nil))
| ~ frontsegP(sK12(iPr_def_13,nil),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216769,c_172540]) ).
tcf(c_216783,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_10))
| ~ frontsegP(sK12(iPr_def_12,iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_187568,c_173]) ).
tcf(c_216784,plain,
( ( sK12(iPr_def_12,iPr_def_10) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK12(iPr_def_12,iPr_def_10))
| ~ frontsegP(sK12(iPr_def_12,iPr_def_10),iPr_def_12) ),
inference(superposition,[status(thm)],[c_187568,c_174]) ).
tcf(c_216785,plain,
( ( app(sK12(iPr_def_12,iPr_def_10),sK11(iPr_def_12,sK12(iPr_def_12,iPr_def_10))) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK12(iPr_def_12,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_187568,c_63]) ).
tcf(c_216786,plain,
( frontsegP(iPr_def_13,sK12(iPr_def_12,iPr_def_10))
| ~ ssList(sK12(iPr_def_12,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_187568,c_178539]) ).
tcf(c_216789,plain,
( ( app(sK12(iPr_def_12,iPr_def_10),sK11(iPr_def_12,sK12(iPr_def_12,iPr_def_10))) = iPr_def_12 )
| ~ ssList(sK12(iPr_def_12,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216785,c_173203]) ).
tcf(c_216792,plain,
( ( sK12(iPr_def_12,iPr_def_10) = iPr_def_12 )
| ~ ssList(sK12(iPr_def_12,iPr_def_10))
| ~ frontsegP(sK12(iPr_def_12,iPr_def_10),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216784,c_173203]) ).
tcf(c_216863,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_10))
| ~ frontsegP(sK12(iPr_def_11,iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_187614,c_173]) ).
tcf(c_216864,plain,
( ( sK12(iPr_def_11,iPr_def_10) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK12(iPr_def_11,iPr_def_10))
| ~ frontsegP(sK12(iPr_def_11,iPr_def_10),iPr_def_11) ),
inference(superposition,[status(thm)],[c_187614,c_174]) ).
tcf(c_216865,plain,
( ( app(sK12(iPr_def_11,iPr_def_10),sK11(iPr_def_11,sK12(iPr_def_11,iPr_def_10))) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK12(iPr_def_11,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_187614,c_63]) ).
tcf(c_216866,plain,
( frontsegP(iPr_def_13,sK12(iPr_def_11,iPr_def_10))
| ~ ssList(sK12(iPr_def_11,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_187614,c_181375]) ).
tcf(c_216867,plain,
( frontsegP(iPr_def_12,sK12(iPr_def_11,iPr_def_10))
| ~ ssList(sK12(iPr_def_11,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_187614,c_178543]) ).
tcf(c_216872,plain,
( ( app(sK12(iPr_def_11,iPr_def_10),sK11(iPr_def_11,sK12(iPr_def_11,iPr_def_10))) = iPr_def_11 )
| ~ ssList(sK12(iPr_def_11,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216865,c_173202]) ).
tcf(c_216875,plain,
( ( sK12(iPr_def_11,iPr_def_10) = iPr_def_11 )
| ~ ssList(sK12(iPr_def_11,iPr_def_10))
| ~ frontsegP(sK12(iPr_def_11,iPr_def_10),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216864,c_173202]) ).
tcf(c_216884,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_13,iPr_def_11))
| ~ rearsegP(sK11(iPr_def_13,iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_191216,c_183]) ).
tcf(c_216885,plain,
( ( sK11(iPr_def_13,iPr_def_11) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK11(iPr_def_13,iPr_def_11))
| ~ rearsegP(sK11(iPr_def_13,iPr_def_11),iPr_def_13) ),
inference(superposition,[status(thm)],[c_191216,c_184]) ).
tcf(c_216886,plain,
( ( app(sK12(iPr_def_13,sK11(iPr_def_13,iPr_def_11)),sK11(iPr_def_13,iPr_def_11)) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK11(iPr_def_13,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_191216,c_66]) ).
tcf(c_216887,plain,
( ( app(sK12(iPr_def_13,sK11(iPr_def_13,iPr_def_11)),sK11(iPr_def_13,iPr_def_11)) = iPr_def_13 )
| ~ ssList(sK11(iPr_def_13,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216886,c_172540]) ).
tcf(c_216890,plain,
( ( sK11(iPr_def_13,iPr_def_11) = iPr_def_13 )
| ~ ssList(sK11(iPr_def_13,iPr_def_11))
| ~ rearsegP(sK11(iPr_def_13,iPr_def_11),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216885,c_172540]) ).
tcf(c_216920,plain,
( frontsegP(iPr_def_11,nil)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_180567,c_185663]) ).
tcf(c_216921,plain,
( rearsegP(iPr_def_13,nil)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_180607,c_184127]) ).
tcf(c_216928,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = sK59 )
| ( X0 = nil )
| ~ ssList(sK59)
| ~ ssList(X0)
| ( tl(X0) != tl(sK59) )
| ( hd(X0) != hd(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_181813,c_223]) ).
tcf(c_216929,plain,
! [X0: $i] :
( strictorderedP(cons(X0,sK59))
| ( nil = sK59 )
| ~ strictorderedP(sK59)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ lt(X0,hd(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_181813,c_212]) ).
tcf(c_216930,plain,
! [X0: $i] :
( totalorderedP(cons(X0,sK59))
| ( nil = sK59 )
| ~ totalorderedP(sK59)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ leq(X0,hd(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_181813,c_206]) ).
tcf(c_216931,plain,
( ( nil = sK59 )
| ( cons(hd(iPr_def_11),tl(sK59)) = sK59 ) ),
inference(superposition,[status(thm)],[c_181813,c_176243]) ).
tcf(c_216935,plain,
! [X0: $i] :
( totalorderedP(cons(X0,sK59))
| ( nil = sK59 )
| ~ totalorderedP(sK59)
| ~ ssItem(X0)
| ~ leq(X0,hd(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216930,c_12926]) ).
tcf(c_216941,plain,
! [X0: $i] :
( strictorderedP(cons(X0,sK59))
| ( nil = sK59 )
| ~ strictorderedP(sK59)
| ~ ssItem(X0)
| ~ lt(X0,hd(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216929,c_12926]) ).
tcf(c_216947,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = sK59 )
| ( X0 = nil )
| ~ ssList(X0)
| ( tl(X0) != tl(sK59) )
| ( hd(X0) != hd(iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216928,c_12926]) ).
tcf(c_216972,plain,
! [X0: $i] :
( rearsegP(app(sK56,sK60),X0)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK60))
| ~ ssList(sK11(app(sK56,sK60),sK56))
| ~ rearsegP(sK11(app(sK56,sK60),sK56),X0) ),
inference(superposition,[status(thm)],[c_216101,c_183]) ).
tcf(c_216973,plain,
( ( sK11(app(sK56,sK60),sK56) = app(sK56,sK60) )
| ~ ssList(app(sK56,sK60))
| ~ ssList(sK11(app(sK56,sK60),sK56))
| ~ rearsegP(sK11(app(sK56,sK60),sK56),app(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_216101,c_184]) ).
tcf(c_216974,plain,
( ( app(sK12(app(sK56,sK60),sK11(app(sK56,sK60),sK56)),sK11(app(sK56,sK60),sK56)) = app(sK56,sK60) )
| ~ ssList(app(sK56,sK60))
| ~ ssList(sK11(app(sK56,sK60),sK56)) ),
inference(superposition,[status(thm)],[c_216101,c_66]) ).
tcf(c_217001,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK56,sK60),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(app(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_201299,c_173]) ).
tcf(c_217002,plain,
! [X0: $i] :
( ( app(sK56,sK60) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK60))
| ~ frontsegP(X0,app(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_201299,c_174]) ).
tcf(c_217003,plain,
! [X0: $i] :
( ( app(X0,sK11(app(sK56,sK60),X0)) = app(sK56,sK60) )
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_201299,c_63]) ).
tcf(c_217019,plain,
app(sK60,sK11(app(sK60,sK59),sK60)) = app(sK60,sK59),
inference(global_subsumption_just,[status(thm)],[c_202368,c_61417]) ).
tcf(c_217021,plain,
! [X0: $i] :
( segmentP(app(app(sK60,sK59),X0),sK11(app(sK60,sK59),sK60))
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK59),sK60))
| ~ ssList(app(app(sK60,sK11(app(sK60,sK59),sK60)),X0)) ),
inference(superposition,[status(thm)],[c_217019,c_67]) ).
tcf(c_217024,plain,
! [X0: $i] :
( memberP(sK60,X0)
| memberP(sK11(app(sK60,sK59),sK60),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ memberP(app(sK60,sK59),X0)
| ~ ssList(sK11(app(sK60,sK59),sK60)) ),
inference(superposition,[status(thm)],[c_217019,c_167]) ).
tcf(c_217025,plain,
( ( nil = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK59),sK60))
| ( app(sK60,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_217019,c_231]) ).
tcf(c_217026,plain,
( ( sK11(app(sK60,sK59),sK60) = nil )
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK59),sK60))
| ( app(sK60,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_217019,c_230]) ).
tcf(c_217027,plain,
( frontsegP(app(sK60,sK59),sK60)
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK59),sK60)) ),
inference(superposition,[status(thm)],[c_217019,c_378]) ).
tcf(c_217028,plain,
( rearsegP(app(sK60,sK59),sK11(app(sK60,sK59),sK60))
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK59),sK60)) ),
inference(superposition,[status(thm)],[c_217019,c_375]) ).
tcf(c_217029,plain,
( ssList(app(sK60,sK59))
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK59),sK60)) ),
inference(superposition,[status(thm)],[c_217019,c_153]) ).
tcf(c_217030,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK59),sK60))
| ( app(X0,sK11(app(sK60,sK59),sK60)) != app(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_217019,c_225]) ).
tcf(c_217031,plain,
! [X0: $i] :
( ( sK11(app(sK60,sK59),sK60) = X0 )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK59),sK60))
| ( app(sK60,X0) != app(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_217019,c_226]) ).
tcf(c_217032,plain,
! [X0: $i] :
( frontsegP(app(sK60,sK59),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ frontsegP(sK60,X0)
| ~ ssList(sK11(app(sK60,sK59),sK60)) ),
inference(superposition,[status(thm)],[c_217019,c_176]) ).
tcf(c_217033,plain,
! [X0: $i] :
( memberP(app(sK60,sK59),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(sK11(app(sK60,sK59),sK60)) ),
inference(superposition,[status(thm)],[c_217019,c_165]) ).
tcf(c_217034,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK60,sK59),X1),X0)
| ~ ssList(sK60)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK59),sK60))
| ~ segmentP(sK11(app(sK60,sK59),sK60),X0) ),
inference(superposition,[status(thm)],[c_217019,c_193]) ).
tcf(c_217035,plain,
! [X0: $i] :
( rearsegP(app(sK60,sK59),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK59),sK60))
| ~ rearsegP(sK11(app(sK60,sK59),sK60),X0) ),
inference(superposition,[status(thm)],[c_217019,c_186]) ).
tcf(c_217036,plain,
! [X0: $i] :
( memberP(app(sK60,sK59),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ ssList(sK11(app(sK60,sK59),sK60))
| ~ memberP(sK11(app(sK60,sK59),sK60),X0) ),
inference(superposition,[status(thm)],[c_217019,c_166]) ).
tcf(c_217037,plain,
( ( sK11(app(sK60,sK59),sK60) = nil )
| ~ ssList(sK11(app(sK60,sK59),sK60))
| ( app(sK60,sK59) != sK60 ) ),
inference(superposition,[status(thm)],[c_217019,c_186951]) ).
tcf(c_217038,plain,
( segmentP(app(sK60,sK59),sK60)
| ~ ssList(sK11(app(sK60,sK59),sK60))
| ~ ssList(app(sK60,sK11(app(sK60,sK59),sK60))) ),
inference(superposition,[status(thm)],[c_217019,c_188131]) ).
tcf(c_217039,plain,
! [X0: $i] :
( segmentP(app(sK60,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(sK11(app(sK60,sK59),sK60)) ),
inference(superposition,[status(thm)],[c_217019,c_189082]) ).
tcf(c_217040,plain,
! [X0: $i] :
( segmentP(app(sK60,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK60,sK59),sK60)) ),
inference(superposition,[status(thm)],[c_217019,c_189062]) ).
tcf(c_217041,plain,
( ssList(app(sK60,sK59))
| ~ ssList(sK11(app(sK60,sK59),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217029,c_12927]) ).
tcf(c_217044,plain,
( frontsegP(app(sK60,sK59),sK60)
| ~ ssList(sK11(app(sK60,sK59),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217027,c_12927]) ).
tcf(c_217055,plain,
( rearsegP(app(sK60,sK59),sK11(app(sK60,sK59),sK60))
| ~ ssList(sK11(app(sK60,sK59),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217028,c_12927]) ).
tcf(c_217058,plain,
( segmentP(app(sK60,sK59),sK60)
| ~ ssList(app(sK60,sK59))
| ~ ssList(sK11(app(sK60,sK59),sK60)) ),
inference(light_normalisation,[status(thm)],[c_217038,c_217019]) ).
tcf(c_217062,plain,
( ( nil = sK60 )
| ~ ssList(sK11(app(sK60,sK59),sK60))
| ( app(sK60,sK59) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217025,c_12927]) ).
tcf(c_217069,plain,
! [X0: $i] :
( memberP(app(sK60,sK59),X0)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(sK11(app(sK60,sK59),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217033,c_12927]) ).
tcf(c_217074,plain,
! [X0: $i] :
( frontsegP(app(sK60,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(sK60,X0)
| ~ ssList(sK11(app(sK60,sK59),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217032,c_12927]) ).
tcf(c_217079,plain,
( ( sK11(app(sK60,sK59),sK60) = nil )
| ~ ssList(sK11(app(sK60,sK59),sK60))
| ( app(sK60,sK59) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217026,c_12927]) ).
tcf(c_217083,plain,
! [X0: $i] :
( memberP(app(sK60,sK59),X0)
| ~ ssItem(X0)
| ~ ssList(sK11(app(sK60,sK59),sK60))
| ~ memberP(sK11(app(sK60,sK59),sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217036,c_12927]) ).
tcf(c_217088,plain,
! [X0: $i] :
( rearsegP(app(sK60,sK59),X0)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK59),sK60))
| ~ rearsegP(sK11(app(sK60,sK59),sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217035,c_12927]) ).
tcf(c_217093,plain,
! [X0: $i] :
( memberP(sK60,X0)
| memberP(sK11(app(sK60,sK59),sK60),X0)
| ~ ssItem(X0)
| ~ memberP(app(sK60,sK59),X0)
| ~ ssList(sK11(app(sK60,sK59),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217024,c_12927]) ).
tcf(c_217099,plain,
! [X0: $i] :
( ( sK11(app(sK60,sK59),sK60) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK59),sK60))
| ( app(sK60,X0) != app(sK60,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217031,c_12927]) ).
tcf(c_217104,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK59),sK60))
| ( app(X0,sK11(app(sK60,sK59),sK60)) != app(sK60,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217030,c_12927]) ).
tcf(c_217109,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK60,sK59),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK59),sK60))
| ~ segmentP(sK11(app(sK60,sK59),sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217034,c_12927]) ).
tcf(c_217115,plain,
! [X0: $i] :
( segmentP(app(app(sK60,sK59),X0),sK11(app(sK60,sK59),sK60))
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK59),sK60))
| ~ ssList(app(app(sK60,sK59),X0)) ),
inference(light_normalisation,[status(thm)],[c_217021,c_217019]) ).
tcf(c_217116,plain,
! [X0: $i] :
( segmentP(app(app(sK60,sK59),X0),sK11(app(sK60,sK59),sK60))
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK59),sK60))
| ~ ssList(app(app(sK60,sK59),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217115,c_12927]) ).
tcf(c_217174,plain,
! [X0: $i] :
( rearsegP(app(sK60,sK59),X0)
| ~ ssList(X0)
| ~ ssList(app(sK60,sK59))
| ~ ssList(sK11(app(sK60,sK59),sK60))
| ~ rearsegP(sK11(app(sK60,sK59),sK60),X0) ),
inference(superposition,[status(thm)],[c_217055,c_183]) ).
tcf(c_217175,plain,
( ( sK11(app(sK60,sK59),sK60) = app(sK60,sK59) )
| ~ ssList(app(sK60,sK59))
| ~ ssList(sK11(app(sK60,sK59),sK60))
| ~ rearsegP(sK11(app(sK60,sK59),sK60),app(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_217055,c_184]) ).
tcf(c_217176,plain,
( ( app(sK12(app(sK60,sK59),sK11(app(sK60,sK59),sK60)),sK11(app(sK60,sK59),sK60)) = app(sK60,sK59) )
| ~ ssList(app(sK60,sK59))
| ~ ssList(sK11(app(sK60,sK59),sK60)) ),
inference(superposition,[status(thm)],[c_217055,c_66]) ).
tcf(c_217195,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_176060,c_130]) ).
tcf(c_217196,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_176060,c_122]) ).
tcf(c_217197,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_176060,c_114]) ).
tcf(c_217198,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_176060,c_130]) ).
tcf(c_217202,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_176060,c_54]) ).
tcf(c_217203,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_176060,c_122]) ).
tcf(c_217204,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_176060,c_114]) ).
tcf(c_217208,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_176060,c_137]) ).
tcf(c_217211,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_176060,c_178]) ).
tcf(c_217212,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_176060,c_179]) ).
tcf(c_217213,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( sK49(tl(sK56)) = nil )
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ( tl(sK56) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_176060,c_190118]) ).
tcf(c_217214,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( sK50(tl(sK56)) = sK57 )
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ( tl(sK56) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_176060,c_189982]) ).
tcf(c_217215,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( sK50(tl(sK56)) = sK57 )
| ~ frontsegP(iPr_def_10,tl(sK56))
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56))) ),
inference(superposition,[status(thm)],[c_176060,c_189539]) ).
tcf(c_217216,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( sK50(tl(sK56)) = sK57 )
| ~ frontsegP(tl(sK56),iPr_def_10)
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56))) ),
inference(superposition,[status(thm)],[c_176060,c_189534]) ).
tcf(c_217217,plain,
( frontsegP(nil,sK49(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ frontsegP(iPr_def_10,tl(sK56))
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56))) ),
inference(superposition,[status(thm)],[c_176060,c_188786]) ).
tcf(c_217218,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_176060,c_144]) ).
tcf(c_217219,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_176060,c_143]) ).
tcf(c_217220,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_176060,c_178]) ).
tcf(c_217221,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_176060,c_179]) ).
tcf(c_217222,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_176060,c_170]) ).
tcf(c_217223,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_176060,c_214]) ).
tcf(c_217224,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_176060,c_208]) ).
tcf(c_217225,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_176060,c_213]) ).
tcf(c_217226,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_176060,c_207]) ).
tcf(c_217228,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ( sK49(tl(sK56)) != tl(sK56) ) ),
inference(superposition,[status(thm)],[c_176060,c_142]) ).
tcf(c_217229,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_176060,c_168]) ).
tcf(c_217231,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_176060,c_177]) ).
tcf(c_217232,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_176060,c_169]) ).
tcf(c_217233,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_176060,c_177]) ).
tcf(c_217658,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_13),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(tl(iPr_def_13),nil))
| ~ ssList(app(app(sK12(tl(iPr_def_13),nil),nil),X0)) ),
inference(superposition,[status(thm)],[c_194192,c_67]) ).
tcf(c_217661,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK12(tl(iPr_def_13),nil),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(tl(iPr_def_13),X0)
| ~ ssList(sK12(tl(iPr_def_13),nil)) ),
inference(superposition,[status(thm)],[c_194192,c_167]) ).
tcf(c_217662,plain,
( ( sK12(tl(iPr_def_13),nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK12(tl(iPr_def_13),nil))
| ( tl(iPr_def_13) != nil ) ),
inference(superposition,[status(thm)],[c_194192,c_231]) ).
tcf(c_217664,plain,
( frontsegP(tl(iPr_def_13),sK12(tl(iPr_def_13),nil))
| ~ ssList(nil)
| ~ ssList(sK12(tl(iPr_def_13),nil)) ),
inference(superposition,[status(thm)],[c_194192,c_378]) ).
tcf(c_217667,plain,
! [X0: $i] :
( ( sK12(tl(iPr_def_13),nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(tl(iPr_def_13),nil))
| ( app(X0,nil) != tl(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_194192,c_225]) ).
tcf(c_217668,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(tl(iPr_def_13),nil))
| ( app(sK12(tl(iPr_def_13),nil),X0) != tl(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_194192,c_226]) ).
tcf(c_217669,plain,
! [X0: $i] :
( frontsegP(tl(iPr_def_13),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(tl(iPr_def_13),nil))
| ~ frontsegP(sK12(tl(iPr_def_13),nil),X0) ),
inference(superposition,[status(thm)],[c_194192,c_176]) ).
tcf(c_217670,plain,
! [X0: $i] :
( memberP(tl(iPr_def_13),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK12(tl(iPr_def_13),nil))
| ~ memberP(sK12(tl(iPr_def_13),nil),X0) ),
inference(superposition,[status(thm)],[c_194192,c_165]) ).
tcf(c_217671,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(iPr_def_13),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK12(tl(iPr_def_13),nil)) ),
inference(superposition,[status(thm)],[c_194192,c_193]) ).
tcf(c_217672,plain,
! [X0: $i] :
( rearsegP(tl(iPr_def_13),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK12(tl(iPr_def_13),nil)) ),
inference(superposition,[status(thm)],[c_194192,c_186]) ).
tcf(c_217674,plain,
( ( sK12(tl(iPr_def_13),nil) = sK60 )
| ~ ssList(sK12(tl(iPr_def_13),nil))
| ( tl(iPr_def_13) != sK60 ) ),
inference(superposition,[status(thm)],[c_194192,c_186294]) ).
tcf(c_217675,plain,
( ( sK12(tl(iPr_def_13),nil) = sK59 )
| ~ ssList(sK12(tl(iPr_def_13),nil))
| ( tl(iPr_def_13) != sK59 ) ),
inference(superposition,[status(thm)],[c_194192,c_186290]) ).
tcf(c_217676,plain,
( ( sK12(tl(iPr_def_13),nil) = sK56 )
| ~ ssList(sK12(tl(iPr_def_13),nil))
| ( tl(iPr_def_13) != sK56 ) ),
inference(superposition,[status(thm)],[c_194192,c_186286]) ).
tcf(c_217677,plain,
( frontsegP(tl(iPr_def_13),sK12(tl(iPr_def_13),nil))
| ~ ssList(sK12(tl(iPr_def_13),nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217664,c_141]) ).
tcf(c_217690,plain,
( ( sK12(tl(iPr_def_13),nil) = nil )
| ~ ssList(sK12(tl(iPr_def_13),nil))
| ( tl(iPr_def_13) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217662,c_141]) ).
tcf(c_217694,plain,
! [X0: $i] :
( memberP(tl(iPr_def_13),X0)
| ~ ssItem(X0)
| ~ ssList(sK12(tl(iPr_def_13),nil))
| ~ memberP(sK12(tl(iPr_def_13),nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217670,c_141]) ).
tcf(c_217699,plain,
! [X0: $i] :
( frontsegP(tl(iPr_def_13),X0)
| ~ ssList(X0)
| ~ ssList(sK12(tl(iPr_def_13),nil))
| ~ frontsegP(sK12(tl(iPr_def_13),nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217669,c_141]) ).
tcf(c_217705,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK12(tl(iPr_def_13),nil),X0)
| ~ ssItem(X0)
| ~ memberP(tl(iPr_def_13),X0)
| ~ ssList(sK12(tl(iPr_def_13),nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217661,c_141]) ).
tcf(c_217711,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK12(tl(iPr_def_13),nil))
| ( app(sK12(tl(iPr_def_13),nil),X0) != tl(iPr_def_13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217668,c_141]) ).
tcf(c_217716,plain,
! [X0: $i] :
( ( sK12(tl(iPr_def_13),nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(tl(iPr_def_13),nil))
| ( app(X0,nil) != tl(iPr_def_13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217667,c_141]) ).
tcf(c_217721,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_13),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(tl(iPr_def_13),nil))
| ~ ssList(app(tl(iPr_def_13),X0)) ),
inference(light_normalisation,[status(thm)],[c_217658,c_194192]) ).
tcf(c_217722,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_13),X0),nil)
| ~ ssList(X0)
| ~ ssList(sK12(tl(iPr_def_13),nil))
| ~ ssList(app(tl(iPr_def_13),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217721,c_141]) ).
tcf(c_217791,plain,
( segmentP(sK56,nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_192,c_194486]) ).
tcf(c_217794,plain,
segmentP(sK56,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_217791,c_141]) ).
tcf(c_217795,plain,
( ( app(app(sK13(sK56,nil),nil),sK14(sK56,nil)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_217794,c_70]) ).
tcf(c_217796,plain,
! [X0: $i] :
( segmentP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_217794,c_190]) ).
tcf(c_217797,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ segmentP(nil,sK56) ),
inference(superposition,[status(thm)],[c_217794,c_191]) ).
tcf(c_217798,plain,
( ( nil = sK56 )
| ~ segmentP(nil,sK56) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217797,c_12924,c_141]) ).
tcf(c_217802,plain,
app(app(sK13(sK56,nil),nil),sK14(sK56,nil)) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_217795,c_12924,c_141]) ).
tcf(c_217807,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_217802,c_67]) ).
tcf(c_217810,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_217802,c_167]) ).
tcf(c_217811,plain,
( ( app(sK13(sK56,nil),nil) = nil )
| ~ ssList(sK14(sK56,nil))
| ~ ssList(app(sK13(sK56,nil),nil))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_217802,c_231]) ).
tcf(c_217812,plain,
( ( sK14(sK56,nil) = nil )
| ~ ssList(sK14(sK56,nil))
| ~ ssList(app(sK13(sK56,nil),nil))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_217802,c_230]) ).
tcf(c_217813,plain,
( frontsegP(sK56,app(sK13(sK56,nil),nil))
| ~ ssList(sK14(sK56,nil))
| ~ ssList(app(sK13(sK56,nil),nil)) ),
inference(superposition,[status(thm)],[c_217802,c_378]) ).
tcf(c_217814,plain,
( rearsegP(sK56,sK14(sK56,nil))
| ~ ssList(sK14(sK56,nil))
| ~ ssList(app(sK13(sK56,nil),nil)) ),
inference(superposition,[status(thm)],[c_217802,c_375]) ).
tcf(c_217816,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_217802,c_225]) ).
tcf(c_217818,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_217802,c_226]) ).
tcf(c_217819,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_217802,c_176]) ).
tcf(c_217820,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_217802,c_165]) ).
tcf(c_217821,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_217802,c_193]) ).
tcf(c_217822,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_217802,c_186]) ).
tcf(c_217823,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_217802,c_166]) ).
tcf(c_217824,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_217802,c_193]) ).
tcf(c_217882,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_217807,c_217802]) ).
tcf(c_217966,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK60,sK59),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sK60,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(app(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_202375,c_173]) ).
tcf(c_217967,plain,
! [X0: $i] :
( ( app(sK60,sK59) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sK60,X0)
| ~ ssList(app(sK60,sK59))
| ~ frontsegP(X0,app(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_202375,c_174]) ).
tcf(c_217968,plain,
! [X0: $i] :
( ( app(X0,sK11(app(sK60,sK59),X0)) = app(sK60,sK59) )
| ~ ssList(X0)
| ~ frontsegP(sK60,X0)
| ~ ssList(app(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_202375,c_63]) ).
tcf(c_218015,plain,
app(sK59,sK11(app(sK59,sK59),sK59)) = app(sK59,sK59),
inference(global_subsumption_just,[status(thm)],[c_204069,c_62372]) ).
tcf(c_218017,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_218015,c_67]) ).
tcf(c_218020,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_218015,c_167]) ).
tcf(c_218021,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ( app(sK59,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_218015,c_231]) ).
tcf(c_218022,plain,
( ( sK11(app(sK59,sK59),sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ( app(sK59,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_218015,c_230]) ).
tcf(c_218023,plain,
( frontsegP(app(sK59,sK59),sK59)
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_218015,c_378]) ).
tcf(c_218024,plain,
( rearsegP(app(sK59,sK59),sK11(app(sK59,sK59),sK59))
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_218015,c_375]) ).
tcf(c_218025,plain,
( ssList(app(sK59,sK59))
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_218015,c_153]) ).
tcf(c_218026,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_218015,c_225]) ).
tcf(c_218027,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_218015,c_226]) ).
tcf(c_218028,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_218015,c_176]) ).
tcf(c_218029,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_218015,c_165]) ).
tcf(c_218030,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_218015,c_193]) ).
tcf(c_218031,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_218015,c_186]) ).
tcf(c_218032,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_218015,c_166]) ).
tcf(c_218033,plain,
( ( sK11(app(sK59,sK59),sK59) = iPr_def_10 )
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ( app(sK59,sK59) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_218015,c_186983]) ).
tcf(c_218034,plain,
( ( sK11(app(sK59,sK59),sK59) = nil )
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ( app(sK59,sK59) != sK59 ) ),
inference(superposition,[status(thm)],[c_218015,c_186947]) ).
tcf(c_218035,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_218015,c_188126]) ).
tcf(c_218036,plain,
! [X0: $i] :
( segmentP(app(sK59,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_218015,c_189077]) ).
tcf(c_218037,plain,
! [X0: $i] :
( segmentP(app(sK59,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_218015,c_189057]) ).
tcf(c_218038,plain,
( ssList(app(sK59,sK59))
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218025,c_12926]) ).
tcf(c_218041,plain,
( frontsegP(app(sK59,sK59),sK59)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218023,c_12926]) ).
tcf(c_218052,plain,
( rearsegP(app(sK59,sK59),sK11(app(sK59,sK59),sK59))
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218024,c_12926]) ).
tcf(c_218055,plain,
( segmentP(app(sK59,sK59),sK59)
| ~ ssList(app(sK59,sK59))
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(light_normalisation,[status(thm)],[c_218035,c_218015]) ).
tcf(c_218059,plain,
( ( nil = sK59 )
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ( app(sK59,sK59) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218021,c_12926]) ).
tcf(c_218069,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_218029,c_12926]) ).
tcf(c_218074,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_218028,c_12926]) ).
tcf(c_218079,plain,
( ( sK11(app(sK59,sK59),sK59) = nil )
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ( app(sK59,sK59) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218022,c_12926]) ).
tcf(c_218083,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_218032,c_12926]) ).
tcf(c_218088,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_218031,c_12926]) ).
tcf(c_218093,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_218020,c_12926]) ).
tcf(c_218099,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_218027,c_12926]) ).
tcf(c_218104,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_218026,c_12926]) ).
tcf(c_218109,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_218030,c_12926]) ).
tcf(c_218115,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_218017,c_218015]) ).
tcf(c_218116,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_218115,c_12926]) ).
tcf(c_218272,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_218052,c_183]) ).
tcf(c_218273,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_218052,c_184]) ).
tcf(c_218274,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_218052,c_66]) ).
tcf(c_218295,plain,
cons(hd(iPr_def_13),tl(iPr_def_13)) = iPr_def_13,
inference(global_subsumption_just,[status(thm)],[c_176245,c_20121,c_21048]) ).
tcf(c_218297,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(app(app(X0,cons(hd(iPr_def_13),X1)),iPr_def_13))
| ~ duplicatefreeP(app(app(X0,cons(hd(iPr_def_13),X1)),cons(hd(iPr_def_13),tl(iPr_def_13)))) ),
inference(superposition,[status(thm)],[c_218295,c_130]) ).
tcf(c_218298,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(hd(iPr_def_13),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(app(app(X0,iPr_def_13),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(hd(iPr_def_13),tl(iPr_def_13))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_218295,c_122]) ).
tcf(c_218299,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(hd(iPr_def_13),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(app(app(X0,iPr_def_13),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(hd(iPr_def_13),tl(iPr_def_13))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_218295,c_114]) ).
tcf(c_218300,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(app(app(X0,iPr_def_13),cons(hd(iPr_def_13),X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(iPr_def_13),tl(iPr_def_13))),cons(hd(iPr_def_13),X1))) ),
inference(superposition,[status(thm)],[c_218295,c_130]) ).
tcf(c_218304,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_13),hd(iPr_def_13))
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(app(X0,cons(hd(iPr_def_13),tl(iPr_def_13)))) ),
inference(superposition,[status(thm)],[c_218295,c_54]) ).
tcf(c_218305,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_13))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_13))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(iPr_def_13),tl(iPr_def_13)))) ),
inference(superposition,[status(thm)],[c_218295,c_122]) ).
tcf(c_218306,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_13))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_13))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(iPr_def_13),tl(iPr_def_13)))) ),
inference(superposition,[status(thm)],[c_218295,c_114]) ).
tcf(c_218310,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_13) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(app(X0,cons(X1,iPr_def_13)))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(iPr_def_13),tl(iPr_def_13))))) ),
inference(superposition,[status(thm)],[c_218295,c_137]) ).
tcf(c_218313,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_13) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ frontsegP(cons(X0,X1),iPr_def_13) ),
inference(superposition,[status(thm)],[c_218295,c_178]) ).
tcf(c_218314,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,tl(iPr_def_13))
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ frontsegP(cons(X0,X1),iPr_def_13) ),
inference(superposition,[status(thm)],[c_218295,c_179]) ).
tcf(c_218315,plain,
( ( tl(iPr_def_13) = nil )
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ( iPr_def_10 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_218295,c_190118]) ).
tcf(c_218316,plain,
( ( hd(iPr_def_13) = sK57 )
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ( iPr_def_10 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_218295,c_189982]) ).
tcf(c_218317,plain,
( ( hd(iPr_def_13) = sK57 )
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218295,c_189539]) ).
tcf(c_218318,plain,
( ( hd(iPr_def_13) = sK57 )
| ~ frontsegP(iPr_def_13,iPr_def_10)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218295,c_189534]) ).
tcf(c_218319,plain,
( frontsegP(nil,tl(iPr_def_13))
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218295,c_188786]) ).
tcf(c_218320,plain,
! [X0: $i,X1: $i] :
( ( tl(iPr_def_13) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ( cons(X0,X1) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_218295,c_144]) ).
tcf(c_218321,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_13) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ( cons(X0,X1) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_218295,c_143]) ).
tcf(c_218322,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_13) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ frontsegP(iPr_def_13,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_218295,c_178]) ).
tcf(c_218323,plain,
! [X0: $i,X1: $i] :
( frontsegP(tl(iPr_def_13),X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ frontsegP(iPr_def_13,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_218295,c_179]) ).
tcf(c_218324,plain,
! [X0: $i] :
( memberP(tl(iPr_def_13),X0)
| ( hd(iPr_def_13) = X0 )
| ~ ssItem(X0)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ memberP(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_218295,c_170]) ).
tcf(c_218325,plain,
( lt(hd(iPr_def_13),hd(tl(iPr_def_13)))
| ( tl(iPr_def_13) = nil )
| ~ strictorderedP(iPr_def_13)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218295,c_214]) ).
tcf(c_218326,plain,
( leq(hd(iPr_def_13),hd(tl(iPr_def_13)))
| ( tl(iPr_def_13) = nil )
| ~ totalorderedP(iPr_def_13)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218295,c_208]) ).
tcf(c_218327,plain,
( strictorderedP(tl(iPr_def_13))
| ( tl(iPr_def_13) = nil )
| ~ strictorderedP(iPr_def_13)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218295,c_213]) ).
tcf(c_218328,plain,
( totalorderedP(tl(iPr_def_13))
| ( tl(iPr_def_13) = nil )
| ~ totalorderedP(iPr_def_13)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218295,c_207]) ).
tcf(c_218330,plain,
( ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ( tl(iPr_def_13) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_218295,c_142]) ).
tcf(c_218331,plain,
( memberP(iPr_def_13,hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218295,c_168]) ).
tcf(c_218333,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,cons(hd(iPr_def_13),X0))
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ frontsegP(tl(iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_218295,c_177]) ).
tcf(c_218334,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ memberP(tl(iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_218295,c_169]) ).
tcf(c_218335,plain,
! [X0: $i] :
( frontsegP(cons(hd(iPr_def_13),X0),iPr_def_13)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ frontsegP(X0,tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218295,c_177]) ).
tcf(c_218336,plain,
memberP(iPr_def_13,hd(iPr_def_13)),
inference(forward_subsumption_resolution,[status(thm)],[c_218331,c_182143,c_179676]) ).
tcf(c_218337,plain,
tl(iPr_def_13) != iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_218330,c_182143,c_179676]) ).
tcf(c_218338,plain,
( frontsegP(nil,tl(iPr_def_13))
| ~ frontsegP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218319,c_182143,c_179676]) ).
tcf(c_218341,plain,
( ( hd(iPr_def_13) = sK57 )
| ~ frontsegP(iPr_def_13,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218318,c_182143,c_179676]) ).
tcf(c_218344,plain,
( ( hd(iPr_def_13) = sK57 )
| ~ frontsegP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218317,c_182143,c_179676]) ).
tcf(c_218347,plain,
( ( hd(iPr_def_13) = sK57 )
| ( iPr_def_10 != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218316,c_182143,c_179676]) ).
tcf(c_218350,plain,
( ( tl(iPr_def_13) = nil )
| ( iPr_def_10 != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218315,c_182143,c_179676]) ).
tcf(c_218353,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ memberP(tl(iPr_def_13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218334,c_182143,c_179676]) ).
tcf(c_218357,plain,
( totalorderedP(tl(iPr_def_13))
| ( tl(iPr_def_13) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218328,c_176575,c_182143,c_179676]) ).
tcf(c_218360,plain,
( strictorderedP(tl(iPr_def_13))
| ( tl(iPr_def_13) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218327,c_176569,c_182143,c_179676]) ).
tcf(c_218363,plain,
! [X0: $i] :
( frontsegP(cons(hd(iPr_def_13),X0),iPr_def_13)
| ~ ssList(X0)
| ~ frontsegP(X0,tl(iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218335,c_182143,c_179676]) ).
tcf(c_218367,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,cons(hd(iPr_def_13),X0))
| ~ ssList(X0)
| ~ frontsegP(tl(iPr_def_13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218333,c_182143,c_179676]) ).
tcf(c_218371,plain,
( leq(hd(iPr_def_13),hd(tl(iPr_def_13)))
| ( tl(iPr_def_13) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218326,c_176575,c_182143,c_179676]) ).
tcf(c_218374,plain,
( lt(hd(iPr_def_13),hd(tl(iPr_def_13)))
| ( tl(iPr_def_13) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218325,c_176569,c_182143,c_179676]) ).
tcf(c_218377,plain,
! [X0: $i] :
( memberP(tl(iPr_def_13),X0)
| ( hd(iPr_def_13) = X0 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218324,c_182143,c_179676]) ).
tcf(c_218382,plain,
! [X0: $i,X1: $i] :
( frontsegP(tl(iPr_def_13),X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(iPr_def_13,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218323,c_182143,c_179676]) ).
tcf(c_218387,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,tl(iPr_def_13))
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(cons(X0,X1),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218314,c_182143,c_179676]) ).
tcf(c_218392,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_13) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(iPr_def_13,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218322,c_182143,c_179676]) ).
tcf(c_218397,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_13) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(cons(X0,X1),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218313,c_182143,c_179676]) ).
tcf(c_218402,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_13) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218321,c_182143,c_179676]) ).
tcf(c_218407,plain,
! [X0: $i,X1: $i] :
( ( tl(iPr_def_13) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218320,c_182143,c_179676]) ).
tcf(c_218412,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_13),hd(iPr_def_13))
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(app(X0,iPr_def_13)) ),
inference(light_normalisation,[status(thm)],[c_218304,c_218295]) ).
tcf(c_218413,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_13),hd(iPr_def_13))
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218412,c_182143,c_179676]) ).
tcf(c_218459,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_13) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ equalelemsP(app(X0,cons(X1,iPr_def_13)))
| ~ ssList(app(X0,cons(X1,iPr_def_13))) ),
inference(light_normalisation,[status(thm)],[c_218310,c_218295]) ).
tcf(c_218460,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_13) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ equalelemsP(app(X0,cons(X1,iPr_def_13)))
| ~ ssList(app(X0,cons(X1,iPr_def_13))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218459,c_182143,c_179676]) ).
tcf(c_218466,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ duplicatefreeP(app(app(X0,iPr_def_13),cons(hd(iPr_def_13),X1)))
| ~ ssList(app(app(X0,iPr_def_13),cons(hd(iPr_def_13),X1))) ),
inference(light_normalisation,[status(thm)],[c_218300,c_218295]) ).
tcf(c_218467,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,iPr_def_13),cons(hd(iPr_def_13),X1)))
| ~ ssList(app(app(X0,iPr_def_13),cons(hd(iPr_def_13),X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218466,c_182143,c_179676]) ).
tcf(c_218472,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ duplicatefreeP(app(app(X0,cons(hd(iPr_def_13),X1)),iPr_def_13))
| ~ ssList(app(app(X0,cons(hd(iPr_def_13),X1)),iPr_def_13)) ),
inference(light_normalisation,[status(thm)],[c_218297,c_218295]) ).
tcf(c_218473,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,cons(hd(iPr_def_13),X1)),iPr_def_13))
| ~ ssList(app(app(X0,cons(hd(iPr_def_13),X1)),iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218472,c_182143,c_179676]) ).
tcf(c_218478,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_13))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_13))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(light_normalisation,[status(thm)],[c_218306,c_218295]) ).
tcf(c_218479,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_13))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_13))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218478,c_182143,c_179676]) ).
tcf(c_218486,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_13))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_13))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(light_normalisation,[status(thm)],[c_218305,c_218295]) ).
tcf(c_218487,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_13))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_13))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218486,c_182143,c_179676]) ).
tcf(c_218494,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(hd(iPr_def_13),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ totalorderedP(app(app(X0,iPr_def_13),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_218299,c_218295]) ).
tcf(c_218495,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(hd(iPr_def_13),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ totalorderedP(app(app(X0,iPr_def_13),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218494,c_182143,c_179676]) ).
tcf(c_218502,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(hd(iPr_def_13),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ strictorderedP(app(app(X0,iPr_def_13),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_218298,c_218295]) ).
tcf(c_218503,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(hd(iPr_def_13),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ strictorderedP(app(app(X0,iPr_def_13),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218502,c_182143,c_179676]) ).
tcf(c_218780,plain,
( ( app(sK8(iPr_def_13,hd(iPr_def_13)),cons(hd(iPr_def_13),sK9(iPr_def_13,hd(iPr_def_13)))) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssItem(hd(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218336,c_57]) ).
tcf(c_218781,plain,
( memberP(iPr_def_12,hd(iPr_def_13))
| memberP(sK60,hd(iPr_def_13))
| ~ ssItem(hd(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218336,c_183021]) ).
tcf(c_218782,plain,
( memberP(iPr_def_12,hd(iPr_def_13))
| memberP(sK60,hd(iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218781,c_179676]) ).
tcf(c_218785,plain,
app(sK8(iPr_def_13,hd(iPr_def_13)),cons(hd(iPr_def_13),sK9(iPr_def_13,hd(iPr_def_13)))) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_218780,c_172540,c_179676]) ).
tcf(c_218798,plain,
! [X0: $i] :
( frontsegP(nil,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13))
| ~ frontsegP(tl(iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_218338,c_173]) ).
tcf(c_218799,plain,
( ( tl(iPr_def_13) = nil )
| ~ ssList(nil)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13))
| ~ frontsegP(tl(iPr_def_13),nil) ),
inference(superposition,[status(thm)],[c_218338,c_174]) ).
tcf(c_218800,plain,
( ( app(tl(iPr_def_13),sK11(nil,tl(iPr_def_13))) = nil )
| ~ ssList(nil)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218338,c_63]) ).
tcf(c_218801,plain,
( frontsegP(iPr_def_10,tl(iPr_def_13))
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218338,c_178535]) ).
tcf(c_218802,plain,
( frontsegP(iPr_def_13,tl(iPr_def_13))
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218338,c_178519]) ).
tcf(c_218803,plain,
( frontsegP(iPr_def_11,tl(iPr_def_13))
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218338,c_178515]) ).
tcf(c_218804,plain,
( frontsegP(iPr_def_12,tl(iPr_def_13))
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218338,c_178511]) ).
tcf(c_218805,plain,
( frontsegP(sK60,tl(iPr_def_13))
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218338,c_178531]) ).
tcf(c_218806,plain,
( frontsegP(sK59,tl(iPr_def_13))
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218338,c_178527]) ).
tcf(c_218807,plain,
( frontsegP(sK56,tl(iPr_def_13))
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218338,c_178523]) ).
tcf(c_218808,plain,
( ( tl(iPr_def_13) = nil )
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218338,c_182]) ).
tcf(c_218809,plain,
( frontsegP(sK56,tl(iPr_def_13))
| ~ frontsegP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218807,c_182143]) ).
tcf(c_218812,plain,
( frontsegP(sK59,tl(iPr_def_13))
| ~ frontsegP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218806,c_182143]) ).
tcf(c_218815,plain,
( frontsegP(sK60,tl(iPr_def_13))
| ~ frontsegP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218805,c_182143]) ).
tcf(c_218818,plain,
( frontsegP(iPr_def_12,tl(iPr_def_13))
| ~ frontsegP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218804,c_182143]) ).
tcf(c_218821,plain,
( frontsegP(iPr_def_11,tl(iPr_def_13))
| ~ frontsegP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218803,c_182143]) ).
tcf(c_218824,plain,
( frontsegP(iPr_def_13,tl(iPr_def_13))
| ~ frontsegP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218802,c_182143]) ).
tcf(c_218827,plain,
( frontsegP(iPr_def_10,tl(iPr_def_13))
| ~ frontsegP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218801,c_182143]) ).
tcf(c_218830,plain,
( ( tl(iPr_def_13) = nil )
| ~ frontsegP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218808,c_182143]) ).
tcf(c_218833,plain,
( ( app(tl(iPr_def_13),sK11(nil,tl(iPr_def_13))) = nil )
| ~ frontsegP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218800,c_141,c_182143]) ).
tcf(c_218837,plain,
! [X0: $i] :
( frontsegP(nil,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ frontsegP(tl(iPr_def_13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218798,c_141,c_182143]) ).
tcf(c_218846,plain,
( memberP(iPr_def_12,hd(iPr_def_13))
| ( app(sK8(sK60,hd(iPr_def_13)),cons(hd(iPr_def_13),sK9(sK60,hd(iPr_def_13)))) = sK60 )
| ~ ssList(sK60)
| ~ ssItem(hd(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218782,c_57]) ).
tcf(c_218848,plain,
( memberP(iPr_def_12,hd(iPr_def_13))
| ( app(sK8(sK60,hd(iPr_def_13)),cons(hd(iPr_def_13),sK9(sK60,hd(iPr_def_13)))) = sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218846,c_12927,c_179676]) ).
tcf(c_218855,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13))
| ~ frontsegP(tl(iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_218809,c_173]) ).
tcf(c_218856,plain,
( ( tl(iPr_def_13) = sK56 )
| ~ ssList(sK56)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13))
| ~ frontsegP(tl(iPr_def_13),sK56) ),
inference(superposition,[status(thm)],[c_218809,c_174]) ).
tcf(c_218857,plain,
( ( app(tl(iPr_def_13),sK11(sK56,tl(iPr_def_13))) = sK56 )
| ~ ssList(sK56)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218809,c_63]) ).
tcf(c_218858,plain,
( ( app(tl(iPr_def_13),sK11(sK56,tl(iPr_def_13))) = sK56 )
| ~ frontsegP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218857,c_12924,c_182143]) ).
tcf(c_218861,plain,
( ( tl(iPr_def_13) = sK56 )
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ frontsegP(tl(iPr_def_13),sK56) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218856,c_12924,c_182143]) ).
tcf(c_218865,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ frontsegP(tl(iPr_def_13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218855,c_12924,c_182143]) ).
tcf(c_218874,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13))
| ~ frontsegP(tl(iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_218812,c_173]) ).
tcf(c_218875,plain,
( ( tl(iPr_def_13) = sK59 )
| ~ ssList(sK59)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13))
| ~ frontsegP(tl(iPr_def_13),sK59) ),
inference(superposition,[status(thm)],[c_218812,c_174]) ).
tcf(c_218876,plain,
( ( app(tl(iPr_def_13),sK11(sK59,tl(iPr_def_13))) = sK59 )
| ~ ssList(sK59)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218812,c_63]) ).
tcf(c_218880,plain,
( ( app(tl(iPr_def_13),sK11(sK59,tl(iPr_def_13))) = sK59 )
| ~ frontsegP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218876,c_12926,c_182143]) ).
tcf(c_218883,plain,
( ( tl(iPr_def_13) = sK59 )
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ frontsegP(tl(iPr_def_13),sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218875,c_12926,c_182143]) ).
tcf(c_218887,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ frontsegP(tl(iPr_def_13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218874,c_12926,c_182143]) ).
tcf(c_218959,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_204076,c_173]) ).
tcf(c_218960,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_204076,c_174]) ).
tcf(c_218961,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_204076,c_63]) ).
tcf(c_218977,plain,
app(sK56,sK11(app(sK56,sK59),sK56)) = app(sK56,sK59),
inference(global_subsumption_just,[status(thm)],[c_204105,c_68240]) ).
tcf(c_218979,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_218977,c_67]) ).
tcf(c_218982,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_218977,c_167]) ).
tcf(c_218983,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ( app(sK56,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_218977,c_231]) ).
tcf(c_218984,plain,
( ( sK11(app(sK56,sK59),sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ( app(sK56,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_218977,c_230]) ).
tcf(c_218985,plain,
( frontsegP(app(sK56,sK59),sK56)
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_218977,c_378]) ).
tcf(c_218986,plain,
( rearsegP(app(sK56,sK59),sK11(app(sK56,sK59),sK56))
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_218977,c_375]) ).
tcf(c_218987,plain,
( ssList(app(sK56,sK59))
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_218977,c_153]) ).
tcf(c_218988,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_218977,c_225]) ).
tcf(c_218989,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_218977,c_226]) ).
tcf(c_218990,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_218977,c_176]) ).
tcf(c_218991,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_218977,c_165]) ).
tcf(c_218992,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_218977,c_193]) ).
tcf(c_218993,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_218977,c_186]) ).
tcf(c_218994,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_218977,c_166]) ).
tcf(c_218995,plain,
( ( sK11(app(sK56,sK59),sK56) = nil )
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ( app(sK56,sK59) != sK56 ) ),
inference(superposition,[status(thm)],[c_218977,c_186943]) ).
tcf(c_218996,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_218977,c_188121]) ).
tcf(c_218997,plain,
! [X0: $i] :
( segmentP(app(sK56,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_218977,c_189072]) ).
tcf(c_218998,plain,
! [X0: $i] :
( segmentP(app(sK56,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_218977,c_189052]) ).
tcf(c_218999,plain,
( ssList(app(sK56,sK59))
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218987,c_12924]) ).
tcf(c_219002,plain,
( frontsegP(app(sK56,sK59),sK56)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218985,c_12924]) ).
tcf(c_219013,plain,
( rearsegP(app(sK56,sK59),sK11(app(sK56,sK59),sK56))
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218986,c_12924]) ).
tcf(c_219016,plain,
( segmentP(app(sK56,sK59),sK56)
| ~ ssList(app(sK56,sK59))
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(light_normalisation,[status(thm)],[c_218996,c_218977]) ).
tcf(c_219020,plain,
( ( nil = sK56 )
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ( app(sK56,sK59) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218983,c_12924]) ).
tcf(c_219027,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_218991,c_12924]) ).
tcf(c_219032,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_218990,c_12924]) ).
tcf(c_219037,plain,
( ( sK11(app(sK56,sK59),sK56) = nil )
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ( app(sK56,sK59) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218984,c_12924]) ).
tcf(c_219041,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_218994,c_12924]) ).
tcf(c_219046,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_218993,c_12924]) ).
tcf(c_219051,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_218982,c_12924]) ).
tcf(c_219057,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_218989,c_12924]) ).
tcf(c_219062,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_218988,c_12924]) ).
tcf(c_219067,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_218992,c_12924]) ).
tcf(c_219073,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_218979,c_218977]) ).
tcf(c_219074,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_219073,c_12924]) ).
tcf(c_219127,plain,
cons(hd(iPr_def_11),tl(iPr_def_11)) = iPr_def_11,
inference(global_subsumption_just,[status(thm)],[c_176246,c_20122,c_20882]) ).
tcf(c_219129,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ~ ssList(app(app(X0,cons(hd(iPr_def_11),X1)),iPr_def_11))
| ~ duplicatefreeP(app(app(X0,cons(hd(iPr_def_11),X1)),cons(hd(iPr_def_11),tl(iPr_def_11)))) ),
inference(superposition,[status(thm)],[c_219127,c_130]) ).
tcf(c_219130,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(hd(iPr_def_11),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ~ ssList(app(app(X0,iPr_def_11),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(hd(iPr_def_11),tl(iPr_def_11))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_219127,c_122]) ).
tcf(c_219131,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(hd(iPr_def_11),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ~ ssList(app(app(X0,iPr_def_11),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(hd(iPr_def_11),tl(iPr_def_11))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_219127,c_114]) ).
tcf(c_219132,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ~ ssList(app(app(X0,iPr_def_11),cons(hd(iPr_def_11),X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(iPr_def_11),tl(iPr_def_11))),cons(hd(iPr_def_11),X1))) ),
inference(superposition,[status(thm)],[c_219127,c_130]) ).
tcf(c_219136,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_11),hd(iPr_def_11))
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ~ ssList(app(X0,cons(hd(iPr_def_11),tl(iPr_def_11)))) ),
inference(superposition,[status(thm)],[c_219127,c_54]) ).
tcf(c_219137,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_11))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_11))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(iPr_def_11),tl(iPr_def_11)))) ),
inference(superposition,[status(thm)],[c_219127,c_122]) ).
tcf(c_219138,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_11))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_11))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(iPr_def_11),tl(iPr_def_11)))) ),
inference(superposition,[status(thm)],[c_219127,c_114]) ).
tcf(c_219142,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_11) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ~ ssList(app(X0,cons(X1,iPr_def_11)))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(iPr_def_11),tl(iPr_def_11))))) ),
inference(superposition,[status(thm)],[c_219127,c_137]) ).
tcf(c_219145,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_11) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ~ frontsegP(cons(X0,X1),iPr_def_11) ),
inference(superposition,[status(thm)],[c_219127,c_178]) ).
tcf(c_219146,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,tl(iPr_def_11))
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ~ frontsegP(cons(X0,X1),iPr_def_11) ),
inference(superposition,[status(thm)],[c_219127,c_179]) ).
tcf(c_219147,plain,
( ( tl(iPr_def_11) = nil )
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ( iPr_def_10 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_219127,c_190118]) ).
tcf(c_219148,plain,
( ( hd(iPr_def_11) = sK57 )
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ( iPr_def_10 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_219127,c_189982]) ).
tcf(c_219149,plain,
( ( hd(iPr_def_11) = sK57 )
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_219127,c_189539]) ).
tcf(c_219150,plain,
( ( hd(iPr_def_11) = sK57 )
| ~ frontsegP(iPr_def_11,iPr_def_10)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_219127,c_189534]) ).
tcf(c_219151,plain,
( frontsegP(nil,tl(iPr_def_11))
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_219127,c_188786]) ).
tcf(c_219152,plain,
! [X0: $i,X1: $i] :
( ( tl(iPr_def_11) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ( cons(X0,X1) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_219127,c_144]) ).
tcf(c_219153,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_11) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ( cons(X0,X1) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_219127,c_143]) ).
tcf(c_219154,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_11) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ~ frontsegP(iPr_def_11,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_219127,c_178]) ).
tcf(c_219155,plain,
! [X0: $i,X1: $i] :
( frontsegP(tl(iPr_def_11),X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ~ frontsegP(iPr_def_11,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_219127,c_179]) ).
tcf(c_219156,plain,
! [X0: $i] :
( memberP(tl(iPr_def_11),X0)
| ( hd(iPr_def_11) = X0 )
| ~ ssItem(X0)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ~ memberP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_219127,c_170]) ).
tcf(c_219157,plain,
( lt(hd(iPr_def_11),hd(tl(iPr_def_11)))
| ( tl(iPr_def_11) = nil )
| ~ strictorderedP(iPr_def_11)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_219127,c_214]) ).
tcf(c_219158,plain,
( leq(hd(iPr_def_11),hd(tl(iPr_def_11)))
| ( tl(iPr_def_11) = nil )
| ~ totalorderedP(iPr_def_11)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_219127,c_208]) ).
tcf(c_219159,plain,
( strictorderedP(tl(iPr_def_11))
| ( tl(iPr_def_11) = nil )
| ~ strictorderedP(iPr_def_11)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_219127,c_213]) ).
tcf(c_219160,plain,
( totalorderedP(tl(iPr_def_11))
| ( tl(iPr_def_11) = nil )
| ~ totalorderedP(iPr_def_11)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_219127,c_207]) ).
tcf(c_219162,plain,
( ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ( tl(iPr_def_11) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_219127,c_142]) ).
tcf(c_219163,plain,
( memberP(iPr_def_11,hd(iPr_def_11))
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_219127,c_168]) ).
tcf(c_219165,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,cons(hd(iPr_def_11),X0))
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ~ frontsegP(tl(iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_219127,c_177]) ).
tcf(c_219166,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssItem(X0)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ~ memberP(tl(iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_219127,c_169]) ).
tcf(c_219167,plain,
! [X0: $i] :
( frontsegP(cons(hd(iPr_def_11),X0),iPr_def_11)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ~ frontsegP(X0,tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_219127,c_177]) ).
tcf(c_219168,plain,
memberP(iPr_def_11,hd(iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_219163,c_182940,c_180254]) ).
tcf(c_219169,plain,
tl(iPr_def_11) != iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_219162,c_182940,c_180254]) ).
tcf(c_219170,plain,
( frontsegP(nil,tl(iPr_def_11))
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219151,c_182940,c_180254]) ).
tcf(c_219173,plain,
( ( hd(iPr_def_11) = sK57 )
| ~ frontsegP(iPr_def_11,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219150,c_182940,c_180254]) ).
tcf(c_219176,plain,
( ( hd(iPr_def_11) = sK57 )
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219149,c_182940,c_180254]) ).
tcf(c_219179,plain,
( ( hd(iPr_def_11) = sK57 )
| ( iPr_def_10 != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219148,c_182940,c_180254]) ).
tcf(c_219182,plain,
( ( tl(iPr_def_11) = nil )
| ( iPr_def_10 != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219147,c_182940,c_180254]) ).
tcf(c_219185,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssItem(X0)
| ~ memberP(tl(iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219166,c_182940,c_180254]) ).
tcf(c_219189,plain,
( totalorderedP(tl(iPr_def_11))
| ( tl(iPr_def_11) = nil )
| ~ totalorderedP(iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219160,c_182940,c_180254]) ).
tcf(c_219193,plain,
( strictorderedP(tl(iPr_def_11))
| ( tl(iPr_def_11) = nil )
| ~ strictorderedP(iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219159,c_182940,c_180254]) ).
tcf(c_219197,plain,
! [X0: $i] :
( frontsegP(cons(hd(iPr_def_11),X0),iPr_def_11)
| ~ ssList(X0)
| ~ frontsegP(X0,tl(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219167,c_182940,c_180254]) ).
tcf(c_219201,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,cons(hd(iPr_def_11),X0))
| ~ ssList(X0)
| ~ frontsegP(tl(iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219165,c_182940,c_180254]) ).
tcf(c_219205,plain,
( leq(hd(iPr_def_11),hd(tl(iPr_def_11)))
| ( tl(iPr_def_11) = nil )
| ~ totalorderedP(iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219158,c_182940,c_180254]) ).
tcf(c_219209,plain,
( lt(hd(iPr_def_11),hd(tl(iPr_def_11)))
| ( tl(iPr_def_11) = nil )
| ~ strictorderedP(iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219157,c_182940,c_180254]) ).
tcf(c_219213,plain,
! [X0: $i] :
( memberP(tl(iPr_def_11),X0)
| ( hd(iPr_def_11) = X0 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219156,c_182940,c_180254]) ).
tcf(c_219218,plain,
! [X0: $i,X1: $i] :
( frontsegP(tl(iPr_def_11),X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(iPr_def_11,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219155,c_182940,c_180254]) ).
tcf(c_219223,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,tl(iPr_def_11))
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(cons(X0,X1),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219146,c_182940,c_180254]) ).
tcf(c_219228,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_11) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(iPr_def_11,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219154,c_182940,c_180254]) ).
tcf(c_219233,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_11) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(cons(X0,X1),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219145,c_182940,c_180254]) ).
tcf(c_219238,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_11) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219153,c_182940,c_180254]) ).
tcf(c_219243,plain,
! [X0: $i,X1: $i] :
( ( tl(iPr_def_11) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219152,c_182940,c_180254]) ).
tcf(c_219248,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_11),hd(iPr_def_11))
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ~ ssList(app(X0,iPr_def_11)) ),
inference(light_normalisation,[status(thm)],[c_219136,c_219127]) ).
tcf(c_219249,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_11),hd(iPr_def_11))
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219248,c_182940,c_180254]) ).
tcf(c_219295,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_11) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(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_219142,c_219127]) ).
tcf(c_219296,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_11) = X1 )
| ~ 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_219295,c_182940,c_180254]) ).
tcf(c_219302,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ~ duplicatefreeP(app(app(X0,iPr_def_11),cons(hd(iPr_def_11),X1)))
| ~ ssList(app(app(X0,iPr_def_11),cons(hd(iPr_def_11),X1))) ),
inference(light_normalisation,[status(thm)],[c_219132,c_219127]) ).
tcf(c_219303,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,iPr_def_11),cons(hd(iPr_def_11),X1)))
| ~ ssList(app(app(X0,iPr_def_11),cons(hd(iPr_def_11),X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219302,c_182940,c_180254]) ).
tcf(c_219308,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ~ duplicatefreeP(app(app(X0,cons(hd(iPr_def_11),X1)),iPr_def_11))
| ~ ssList(app(app(X0,cons(hd(iPr_def_11),X1)),iPr_def_11)) ),
inference(light_normalisation,[status(thm)],[c_219129,c_219127]) ).
tcf(c_219309,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,cons(hd(iPr_def_11),X1)),iPr_def_11))
| ~ ssList(app(app(X0,cons(hd(iPr_def_11),X1)),iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219308,c_182940,c_180254]) ).
tcf(c_219314,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_11))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(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_219138,c_219127]) ).
tcf(c_219315,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_11))
| ~ 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_219314,c_182940,c_180254]) ).
tcf(c_219322,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_11))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(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_219137,c_219127]) ).
tcf(c_219323,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_11))
| ~ 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_219322,c_182940,c_180254]) ).
tcf(c_219330,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(hd(iPr_def_11),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(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_219131,c_219127]) ).
tcf(c_219331,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(hd(iPr_def_11),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_219330,c_182940,c_180254]) ).
tcf(c_219338,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(hd(iPr_def_11),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(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_219130,c_219127]) ).
tcf(c_219339,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(hd(iPr_def_11),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_219338,c_182940,c_180254]) ).
tcf(c_219538,plain,
( ( app(sK8(iPr_def_11,hd(iPr_def_11)),cons(hd(iPr_def_11),sK9(iPr_def_11,hd(iPr_def_11)))) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssItem(hd(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_219168,c_57]) ).
tcf(c_219539,plain,
( memberP(iPr_def_12,hd(iPr_def_11))
| ~ ssItem(hd(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_219168,c_177934]) ).
tcf(c_219540,plain,
( memberP(iPr_def_10,hd(iPr_def_11))
| memberP(sK59,hd(iPr_def_11))
| ~ ssItem(hd(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_219168,c_183031]) ).
tcf(c_219541,plain,
memberP(iPr_def_12,hd(iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_219539,c_180254]) ).
tcf(c_219542,plain,
( memberP(iPr_def_10,hd(iPr_def_11))
| memberP(sK59,hd(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219540,c_180254]) ).
tcf(c_219545,plain,
app(sK8(iPr_def_11,hd(iPr_def_11)),cons(hd(iPr_def_11),sK9(iPr_def_11,hd(iPr_def_11)))) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_219538,c_173202,c_180254]) ).
tcf(c_219550,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_13),X0),sK11(tl(iPr_def_13),nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_13),nil))
| ~ ssList(app(app(nil,sK11(tl(iPr_def_13),nil)),X0)) ),
inference(superposition,[status(thm)],[c_194625,c_67]) ).
tcf(c_219553,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK11(tl(iPr_def_13),nil),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(tl(iPr_def_13),X0)
| ~ ssList(sK11(tl(iPr_def_13),nil)) ),
inference(superposition,[status(thm)],[c_194625,c_167]) ).
tcf(c_219555,plain,
( ( sK11(tl(iPr_def_13),nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK11(tl(iPr_def_13),nil))
| ( tl(iPr_def_13) != nil ) ),
inference(superposition,[status(thm)],[c_194625,c_230]) ).
tcf(c_219557,plain,
( rearsegP(tl(iPr_def_13),sK11(tl(iPr_def_13),nil))
| ~ ssList(nil)
| ~ ssList(sK11(tl(iPr_def_13),nil)) ),
inference(superposition,[status(thm)],[c_194625,c_375]) ).
tcf(c_219559,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_13),nil))
| ( app(X0,sK11(tl(iPr_def_13),nil)) != tl(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_194625,c_225]) ).
tcf(c_219560,plain,
( ( sK11(tl(iPr_def_13),nil) = sK60 )
| ~ ssList(sK11(tl(iPr_def_13),nil))
| ( tl(iPr_def_13) != sK60 ) ),
inference(superposition,[status(thm)],[c_194625,c_186967]) ).
tcf(c_219561,plain,
( ( sK11(tl(iPr_def_13),nil) = sK59 )
| ~ ssList(sK11(tl(iPr_def_13),nil))
| ( tl(iPr_def_13) != sK59 ) ),
inference(superposition,[status(thm)],[c_194625,c_186963]) ).
tcf(c_219562,plain,
( ( sK11(tl(iPr_def_13),nil) = sK56 )
| ~ ssList(sK11(tl(iPr_def_13),nil))
| ( tl(iPr_def_13) != sK56 ) ),
inference(superposition,[status(thm)],[c_194625,c_186959]) ).
tcf(c_219563,plain,
! [X0: $i] :
( ( sK11(tl(iPr_def_13),nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_13),nil))
| ( app(nil,X0) != tl(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_194625,c_226]) ).
tcf(c_219564,plain,
! [X0: $i] :
( frontsegP(tl(iPr_def_13),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK11(tl(iPr_def_13),nil)) ),
inference(superposition,[status(thm)],[c_194625,c_176]) ).
tcf(c_219566,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(iPr_def_13),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_13),nil))
| ~ segmentP(sK11(tl(iPr_def_13),nil),X0) ),
inference(superposition,[status(thm)],[c_194625,c_193]) ).
tcf(c_219567,plain,
! [X0: $i] :
( rearsegP(tl(iPr_def_13),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_13),nil))
| ~ rearsegP(sK11(tl(iPr_def_13),nil),X0) ),
inference(superposition,[status(thm)],[c_194625,c_186]) ).
tcf(c_219568,plain,
! [X0: $i] :
( memberP(tl(iPr_def_13),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK11(tl(iPr_def_13),nil))
| ~ memberP(sK11(tl(iPr_def_13),nil),X0) ),
inference(superposition,[status(thm)],[c_194625,c_166]) ).
tcf(c_219569,plain,
( rearsegP(tl(iPr_def_13),sK11(tl(iPr_def_13),nil))
| ~ ssList(sK11(tl(iPr_def_13),nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219557,c_141]) ).
tcf(c_219582,plain,
( ( sK11(tl(iPr_def_13),nil) = nil )
| ~ ssList(sK11(tl(iPr_def_13),nil))
| ( tl(iPr_def_13) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219555,c_141]) ).
tcf(c_219586,plain,
! [X0: $i] :
( memberP(tl(iPr_def_13),X0)
| ~ ssItem(X0)
| ~ ssList(sK11(tl(iPr_def_13),nil))
| ~ memberP(sK11(tl(iPr_def_13),nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219568,c_141]) ).
tcf(c_219591,plain,
! [X0: $i] :
( rearsegP(tl(iPr_def_13),X0)
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_13),nil))
| ~ rearsegP(sK11(tl(iPr_def_13),nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219567,c_141]) ).
tcf(c_219596,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK11(tl(iPr_def_13),nil),X0)
| ~ ssItem(X0)
| ~ memberP(tl(iPr_def_13),X0)
| ~ ssList(sK11(tl(iPr_def_13),nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219553,c_141]) ).
tcf(c_219602,plain,
! [X0: $i] :
( ( sK11(tl(iPr_def_13),nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_13),nil))
| ( app(nil,X0) != tl(iPr_def_13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219563,c_141]) ).
tcf(c_219607,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_13),nil))
| ( app(X0,sK11(tl(iPr_def_13),nil)) != tl(iPr_def_13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219559,c_141]) ).
tcf(c_219612,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(iPr_def_13),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_13),nil))
| ~ segmentP(sK11(tl(iPr_def_13),nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219566,c_141]) ).
tcf(c_219618,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_13),X0),sK11(tl(iPr_def_13),nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_13),nil))
| ~ ssList(app(tl(iPr_def_13),X0)) ),
inference(light_normalisation,[status(thm)],[c_219550,c_194625]) ).
tcf(c_219619,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_13),X0),sK11(tl(iPr_def_13),nil))
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_13),nil))
| ~ ssList(app(tl(iPr_def_13),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219618,c_141]) ).
tcf(c_219836,plain,
( ( app(sK8(iPr_def_12,hd(iPr_def_11)),cons(hd(iPr_def_11),sK9(iPr_def_12,hd(iPr_def_11)))) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssItem(hd(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_219541,c_57]) ).
tcf(c_219837,plain,
( memberP(iPr_def_13,hd(iPr_def_11))
| ~ ssItem(hd(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_219541,c_177930]) ).
tcf(c_219838,plain,
memberP(iPr_def_13,hd(iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_219837,c_180254]) ).
tcf(c_219839,plain,
app(sK8(iPr_def_12,hd(iPr_def_11)),cons(hd(iPr_def_11),sK9(iPr_def_12,hd(iPr_def_11)))) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_219836,c_173203,c_180254]) ).
tcf(c_219840,plain,
( ( app(sK8(iPr_def_13,hd(iPr_def_11)),cons(hd(iPr_def_11),sK9(iPr_def_13,hd(iPr_def_11)))) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssItem(hd(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_219838,c_57]) ).
tcf(c_219842,plain,
app(sK8(iPr_def_13,hd(iPr_def_11)),cons(hd(iPr_def_11),sK9(iPr_def_13,hd(iPr_def_11)))) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_219840,c_172540,c_180254]) ).
tcf(c_219847,plain,
! [X0: $i] :
( frontsegP(sK60,X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13))
| ~ frontsegP(tl(iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_218815,c_173]) ).
tcf(c_219848,plain,
( ( tl(iPr_def_13) = sK60 )
| ~ ssList(sK60)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13))
| ~ frontsegP(tl(iPr_def_13),sK60) ),
inference(superposition,[status(thm)],[c_218815,c_174]) ).
tcf(c_219849,plain,
( ( app(tl(iPr_def_13),sK11(sK60,tl(iPr_def_13))) = sK60 )
| ~ ssList(sK60)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218815,c_63]) ).
tcf(c_219850,plain,
( ( app(tl(iPr_def_13),sK11(sK60,tl(iPr_def_13))) = sK60 )
| ~ frontsegP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219849,c_12927,c_182143]) ).
tcf(c_219853,plain,
( ( tl(iPr_def_13) = sK60 )
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ frontsegP(tl(iPr_def_13),sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219848,c_12927,c_182143]) ).
tcf(c_219857,plain,
! [X0: $i] :
( frontsegP(sK60,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ frontsegP(tl(iPr_def_13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219847,c_12927,c_182143]) ).
tcf(c_219931,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13))
| ~ frontsegP(tl(iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_218818,c_173]) ).
tcf(c_219932,plain,
( ( tl(iPr_def_13) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13))
| ~ frontsegP(tl(iPr_def_13),iPr_def_12) ),
inference(superposition,[status(thm)],[c_218818,c_174]) ).
tcf(c_219933,plain,
( ( app(tl(iPr_def_13),sK11(iPr_def_12,tl(iPr_def_13))) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218818,c_63]) ).
tcf(c_219935,plain,
( ( app(tl(iPr_def_13),sK11(iPr_def_12,tl(iPr_def_13))) = iPr_def_12 )
| ~ frontsegP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219933,c_173203,c_182143]) ).
tcf(c_219938,plain,
( ( tl(iPr_def_13) = iPr_def_12 )
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ frontsegP(tl(iPr_def_13),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219932,c_173203,c_182143]) ).
tcf(c_219942,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ frontsegP(tl(iPr_def_13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219931,c_173203,c_182143]) ).
tcf(c_219983,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_219013,c_183]) ).
tcf(c_219984,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_219013,c_184]) ).
tcf(c_219985,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_219013,c_66]) ).
tcf(c_220012,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_204112,c_173]) ).
tcf(c_220013,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_204112,c_174]) ).
tcf(c_220014,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_204112,c_63]) ).
tcf(c_220030,plain,
cons(hd(iPr_def_12),tl(iPr_def_12)) = iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_176247,c_20123,c_20881]) ).
tcf(c_220032,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_220030,c_130]) ).
tcf(c_220033,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_220030,c_122]) ).
tcf(c_220034,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_220030,c_114]) ).
tcf(c_220035,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_220030,c_130]) ).
tcf(c_220039,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_220030,c_54]) ).
tcf(c_220040,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_220030,c_122]) ).
tcf(c_220041,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_220030,c_114]) ).
tcf(c_220045,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_220030,c_137]) ).
tcf(c_220048,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_220030,c_178]) ).
tcf(c_220049,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_220030,c_179]) ).
tcf(c_220050,plain,
( ( tl(iPr_def_12) = nil )
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ( iPr_def_10 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_220030,c_190118]) ).
tcf(c_220051,plain,
( ( hd(iPr_def_12) = sK57 )
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ( iPr_def_10 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_220030,c_189982]) ).
tcf(c_220052,plain,
( ( hd(iPr_def_12) = sK57 )
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_220030,c_189539]) ).
tcf(c_220053,plain,
( ( hd(iPr_def_12) = sK57 )
| ~ frontsegP(iPr_def_12,iPr_def_10)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_220030,c_189534]) ).
tcf(c_220054,plain,
( frontsegP(nil,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_220030,c_188786]) ).
tcf(c_220055,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_220030,c_144]) ).
tcf(c_220056,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_220030,c_143]) ).
tcf(c_220057,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_220030,c_178]) ).
tcf(c_220058,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_220030,c_179]) ).
tcf(c_220059,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_220030,c_170]) ).
tcf(c_220060,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_220030,c_214]) ).
tcf(c_220061,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_220030,c_208]) ).
tcf(c_220062,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_220030,c_213]) ).
tcf(c_220063,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_220030,c_207]) ).
tcf(c_220065,plain,
( ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ( tl(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_220030,c_142]) ).
tcf(c_220066,plain,
( memberP(iPr_def_12,hd(iPr_def_12))
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_220030,c_168]) ).
tcf(c_220068,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_220030,c_177]) ).
tcf(c_220069,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_220030,c_169]) ).
tcf(c_220070,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_220030,c_177]) ).
tcf(c_220071,plain,
memberP(iPr_def_12,hd(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_220066,c_184135,c_180623]) ).
tcf(c_220072,plain,
tl(iPr_def_12) != iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_220065,c_184135,c_180623]) ).
tcf(c_220073,plain,
( frontsegP(nil,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220054,c_184135,c_180623]) ).
tcf(c_220076,plain,
( ( hd(iPr_def_12) = sK57 )
| ~ frontsegP(iPr_def_12,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220053,c_184135,c_180623]) ).
tcf(c_220079,plain,
( ( hd(iPr_def_12) = sK57 )
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220052,c_184135,c_180623]) ).
tcf(c_220082,plain,
( ( hd(iPr_def_12) = sK57 )
| ( iPr_def_10 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220051,c_184135,c_180623]) ).
tcf(c_220085,plain,
( ( tl(iPr_def_12) = nil )
| ( iPr_def_10 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220050,c_184135,c_180623]) ).
tcf(c_220088,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(tl(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220069,c_184135,c_180623]) ).
tcf(c_220092,plain,
( totalorderedP(tl(iPr_def_12))
| ( tl(iPr_def_12) = nil )
| ~ totalorderedP(iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220063,c_184135,c_180623]) ).
tcf(c_220096,plain,
( strictorderedP(tl(iPr_def_12))
| ( tl(iPr_def_12) = nil )
| ~ strictorderedP(iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220062,c_184135,c_180623]) ).
tcf(c_220100,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_220070,c_184135,c_180623]) ).
tcf(c_220104,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_220068,c_184135,c_180623]) ).
tcf(c_220108,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_220061,c_184135,c_180623]) ).
tcf(c_220112,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_220060,c_184135,c_180623]) ).
tcf(c_220116,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_220059,c_184135,c_180623]) ).
tcf(c_220121,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_220058,c_184135,c_180623]) ).
tcf(c_220126,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_220049,c_184135,c_180623]) ).
tcf(c_220131,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_220057,c_184135,c_180623]) ).
tcf(c_220136,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_220048,c_184135,c_180623]) ).
tcf(c_220141,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_220056,c_184135,c_180623]) ).
tcf(c_220146,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_220055,c_184135,c_180623]) ).
tcf(c_220151,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_220039,c_220030]) ).
tcf(c_220152,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_220151,c_184135,c_180623]) ).
tcf(c_220198,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_220045,c_220030]) ).
tcf(c_220199,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_220198,c_184135,c_180623]) ).
tcf(c_220205,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_220035,c_220030]) ).
tcf(c_220206,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_220205,c_184135,c_180623]) ).
tcf(c_220211,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_220032,c_220030]) ).
tcf(c_220212,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_220211,c_184135,c_180623]) ).
tcf(c_220217,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_220041,c_220030]) ).
tcf(c_220218,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_220217,c_184135,c_180623]) ).
tcf(c_220225,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_220040,c_220030]) ).
tcf(c_220226,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_220225,c_184135,c_180623]) ).
tcf(c_220233,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_220034,c_220030]) ).
tcf(c_220234,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_220233,c_184135,c_180623]) ).
tcf(c_220241,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_220033,c_220030]) ).
tcf(c_220242,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_220241,c_184135,c_180623]) ).
tcf(c_220473,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_220071,c_57]) ).
tcf(c_220474,plain,
( memberP(iPr_def_13,hd(iPr_def_12))
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_220071,c_177930]) ).
tcf(c_220475,plain,
memberP(iPr_def_13,hd(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_220474,c_180623]) ).
tcf(c_220476,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_220473,c_173203,c_180623]) ).
tcf(c_220482,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_11),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(tl(iPr_def_11),nil))
| ~ ssList(app(app(sK12(tl(iPr_def_11),nil),nil),X0)) ),
inference(superposition,[status(thm)],[c_194705,c_67]) ).
tcf(c_220485,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK12(tl(iPr_def_11),nil),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(tl(iPr_def_11),X0)
| ~ ssList(sK12(tl(iPr_def_11),nil)) ),
inference(superposition,[status(thm)],[c_194705,c_167]) ).
tcf(c_220486,plain,
( ( sK12(tl(iPr_def_11),nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK12(tl(iPr_def_11),nil))
| ( tl(iPr_def_11) != nil ) ),
inference(superposition,[status(thm)],[c_194705,c_231]) ).
tcf(c_220488,plain,
( frontsegP(tl(iPr_def_11),sK12(tl(iPr_def_11),nil))
| ~ ssList(nil)
| ~ ssList(sK12(tl(iPr_def_11),nil)) ),
inference(superposition,[status(thm)],[c_194705,c_378]) ).
tcf(c_220491,plain,
! [X0: $i] :
( ( sK12(tl(iPr_def_11),nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(tl(iPr_def_11),nil))
| ( app(X0,nil) != tl(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_194705,c_225]) ).
tcf(c_220492,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(tl(iPr_def_11),nil))
| ( app(sK12(tl(iPr_def_11),nil),X0) != tl(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_194705,c_226]) ).
tcf(c_220493,plain,
! [X0: $i] :
( frontsegP(tl(iPr_def_11),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(tl(iPr_def_11),nil))
| ~ frontsegP(sK12(tl(iPr_def_11),nil),X0) ),
inference(superposition,[status(thm)],[c_194705,c_176]) ).
tcf(c_220494,plain,
! [X0: $i] :
( memberP(tl(iPr_def_11),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK12(tl(iPr_def_11),nil))
| ~ memberP(sK12(tl(iPr_def_11),nil),X0) ),
inference(superposition,[status(thm)],[c_194705,c_165]) ).
tcf(c_220495,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(iPr_def_11),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK12(tl(iPr_def_11),nil)) ),
inference(superposition,[status(thm)],[c_194705,c_193]) ).
tcf(c_220496,plain,
! [X0: $i] :
( rearsegP(tl(iPr_def_11),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK12(tl(iPr_def_11),nil)) ),
inference(superposition,[status(thm)],[c_194705,c_186]) ).
tcf(c_220498,plain,
( ( sK12(tl(iPr_def_11),nil) = sK60 )
| ~ ssList(sK12(tl(iPr_def_11),nil))
| ( tl(iPr_def_11) != sK60 ) ),
inference(superposition,[status(thm)],[c_194705,c_186294]) ).
tcf(c_220499,plain,
( ( sK12(tl(iPr_def_11),nil) = sK59 )
| ~ ssList(sK12(tl(iPr_def_11),nil))
| ( tl(iPr_def_11) != sK59 ) ),
inference(superposition,[status(thm)],[c_194705,c_186290]) ).
tcf(c_220500,plain,
( ( sK12(tl(iPr_def_11),nil) = sK56 )
| ~ ssList(sK12(tl(iPr_def_11),nil))
| ( tl(iPr_def_11) != sK56 ) ),
inference(superposition,[status(thm)],[c_194705,c_186286]) ).
tcf(c_220501,plain,
( frontsegP(tl(iPr_def_11),sK12(tl(iPr_def_11),nil))
| ~ ssList(sK12(tl(iPr_def_11),nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220488,c_141]) ).
tcf(c_220514,plain,
( ( sK12(tl(iPr_def_11),nil) = nil )
| ~ ssList(sK12(tl(iPr_def_11),nil))
| ( tl(iPr_def_11) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220486,c_141]) ).
tcf(c_220518,plain,
! [X0: $i] :
( memberP(tl(iPr_def_11),X0)
| ~ ssItem(X0)
| ~ ssList(sK12(tl(iPr_def_11),nil))
| ~ memberP(sK12(tl(iPr_def_11),nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220494,c_141]) ).
tcf(c_220523,plain,
! [X0: $i] :
( frontsegP(tl(iPr_def_11),X0)
| ~ ssList(X0)
| ~ ssList(sK12(tl(iPr_def_11),nil))
| ~ frontsegP(sK12(tl(iPr_def_11),nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220493,c_141]) ).
tcf(c_220529,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK12(tl(iPr_def_11),nil),X0)
| ~ ssItem(X0)
| ~ memberP(tl(iPr_def_11),X0)
| ~ ssList(sK12(tl(iPr_def_11),nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220485,c_141]) ).
tcf(c_220535,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK12(tl(iPr_def_11),nil))
| ( app(sK12(tl(iPr_def_11),nil),X0) != tl(iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220492,c_141]) ).
tcf(c_220540,plain,
! [X0: $i] :
( ( sK12(tl(iPr_def_11),nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(tl(iPr_def_11),nil))
| ( app(X0,nil) != tl(iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220491,c_141]) ).
tcf(c_220545,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_11),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(tl(iPr_def_11),nil))
| ~ ssList(app(tl(iPr_def_11),X0)) ),
inference(light_normalisation,[status(thm)],[c_220482,c_194705]) ).
tcf(c_220546,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_11),X0),nil)
| ~ ssList(X0)
| ~ ssList(sK12(tl(iPr_def_11),nil))
| ~ ssList(app(tl(iPr_def_11),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220545,c_141]) ).
tcf(c_220570,plain,
( ( app(sK8(iPr_def_13,hd(iPr_def_12)),cons(hd(iPr_def_12),sK9(iPr_def_13,hd(iPr_def_12)))) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_220475,c_57]) ).
tcf(c_220572,plain,
app(sK8(iPr_def_13,hd(iPr_def_12)),cons(hd(iPr_def_12),sK9(iPr_def_13,hd(iPr_def_12)))) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_220570,c_172540,c_180623]) ).
tcf(c_220577,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13))
| ~ frontsegP(tl(iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_218821,c_173]) ).
tcf(c_220578,plain,
( ( tl(iPr_def_13) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13))
| ~ frontsegP(tl(iPr_def_13),iPr_def_11) ),
inference(superposition,[status(thm)],[c_218821,c_174]) ).
tcf(c_220579,plain,
( ( app(tl(iPr_def_13),sK11(iPr_def_11,tl(iPr_def_13))) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218821,c_63]) ).
tcf(c_220582,plain,
( ( app(tl(iPr_def_13),sK11(iPr_def_11,tl(iPr_def_13))) = iPr_def_11 )
| ~ frontsegP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220579,c_173202,c_182143]) ).
tcf(c_220585,plain,
( ( tl(iPr_def_13) = iPr_def_11 )
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ frontsegP(tl(iPr_def_13),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220578,c_173202,c_182143]) ).
tcf(c_220589,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ frontsegP(tl(iPr_def_13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220577,c_173202,c_182143]) ).
tcf(c_220598,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13))
| ~ frontsegP(tl(iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_218824,c_173]) ).
tcf(c_220599,plain,
( ( tl(iPr_def_13) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13))
| ~ frontsegP(tl(iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_218824,c_174]) ).
tcf(c_220600,plain,
( ( app(tl(iPr_def_13),sK11(iPr_def_13,tl(iPr_def_13))) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218824,c_63]) ).
tcf(c_220601,plain,
( ( app(tl(iPr_def_13),sK11(iPr_def_13,tl(iPr_def_13))) = iPr_def_13 )
| ~ frontsegP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220600,c_172540,c_182143]) ).
tcf(c_220604,plain,
( ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ frontsegP(tl(iPr_def_13),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220599,c_218337,c_172540,c_182143]) ).
tcf(c_220607,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ frontsegP(tl(iPr_def_13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220598,c_172540,c_182143]) ).
tcf(c_220616,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13))
| ~ frontsegP(tl(iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_218827,c_173]) ).
tcf(c_220617,plain,
( ( tl(iPr_def_13) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13))
| ~ frontsegP(tl(iPr_def_13),iPr_def_10) ),
inference(superposition,[status(thm)],[c_218827,c_174]) ).
tcf(c_220618,plain,
( ( app(tl(iPr_def_13),sK11(iPr_def_10,tl(iPr_def_13))) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218827,c_63]) ).
tcf(c_220619,plain,
( ( app(tl(iPr_def_13),sK11(iPr_def_10,tl(iPr_def_13))) = iPr_def_10 )
| ~ frontsegP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220618,c_173031,c_182143]) ).
tcf(c_220622,plain,
( ( tl(iPr_def_13) = iPr_def_10 )
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ frontsegP(tl(iPr_def_13),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220617,c_173031,c_182143]) ).
tcf(c_220626,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ frontsegP(tl(iPr_def_13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220616,c_173031,c_182143]) ).
tcf(c_220631,plain,
app(sK60,sK11(app(sK60,sK56),sK60)) = app(sK60,sK56),
inference(global_subsumption_just,[status(thm)],[c_205176,c_64432]) ).
tcf(c_220633,plain,
! [X0: $i] :
( segmentP(app(app(sK60,sK56),X0),sK11(app(sK60,sK56),sK60))
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK56),sK60))
| ~ ssList(app(app(sK60,sK11(app(sK60,sK56),sK60)),X0)) ),
inference(superposition,[status(thm)],[c_220631,c_67]) ).
tcf(c_220636,plain,
! [X0: $i] :
( memberP(sK60,X0)
| memberP(sK11(app(sK60,sK56),sK60),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ memberP(app(sK60,sK56),X0)
| ~ ssList(sK11(app(sK60,sK56),sK60)) ),
inference(superposition,[status(thm)],[c_220631,c_167]) ).
tcf(c_220637,plain,
( ( nil = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK56),sK60))
| ( app(sK60,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_220631,c_231]) ).
tcf(c_220638,plain,
( ( sK11(app(sK60,sK56),sK60) = nil )
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK56),sK60))
| ( app(sK60,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_220631,c_230]) ).
tcf(c_220639,plain,
( frontsegP(app(sK60,sK56),sK60)
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK56),sK60)) ),
inference(superposition,[status(thm)],[c_220631,c_378]) ).
tcf(c_220640,plain,
( rearsegP(app(sK60,sK56),sK11(app(sK60,sK56),sK60))
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK56),sK60)) ),
inference(superposition,[status(thm)],[c_220631,c_375]) ).
tcf(c_220641,plain,
( ssList(app(sK60,sK56))
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK56),sK60)) ),
inference(superposition,[status(thm)],[c_220631,c_153]) ).
tcf(c_220642,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK56),sK60))
| ( app(X0,sK11(app(sK60,sK56),sK60)) != app(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_220631,c_225]) ).
tcf(c_220643,plain,
! [X0: $i] :
( ( sK11(app(sK60,sK56),sK60) = X0 )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK56),sK60))
| ( app(sK60,X0) != app(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_220631,c_226]) ).
tcf(c_220644,plain,
! [X0: $i] :
( frontsegP(app(sK60,sK56),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ frontsegP(sK60,X0)
| ~ ssList(sK11(app(sK60,sK56),sK60)) ),
inference(superposition,[status(thm)],[c_220631,c_176]) ).
tcf(c_220645,plain,
! [X0: $i] :
( memberP(app(sK60,sK56),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(sK11(app(sK60,sK56),sK60)) ),
inference(superposition,[status(thm)],[c_220631,c_165]) ).
tcf(c_220646,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK60,sK56),X1),X0)
| ~ ssList(sK60)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK56),sK60))
| ~ segmentP(sK11(app(sK60,sK56),sK60),X0) ),
inference(superposition,[status(thm)],[c_220631,c_193]) ).
tcf(c_220647,plain,
! [X0: $i] :
( rearsegP(app(sK60,sK56),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK56),sK60))
| ~ rearsegP(sK11(app(sK60,sK56),sK60),X0) ),
inference(superposition,[status(thm)],[c_220631,c_186]) ).
tcf(c_220648,plain,
! [X0: $i] :
( memberP(app(sK60,sK56),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ ssList(sK11(app(sK60,sK56),sK60))
| ~ memberP(sK11(app(sK60,sK56),sK60),X0) ),
inference(superposition,[status(thm)],[c_220631,c_166]) ).
tcf(c_220649,plain,
( ( sK11(app(sK60,sK56),sK60) = nil )
| ~ ssList(sK11(app(sK60,sK56),sK60))
| ( app(sK60,sK56) != sK60 ) ),
inference(superposition,[status(thm)],[c_220631,c_186951]) ).
tcf(c_220650,plain,
( segmentP(app(sK60,sK56),sK60)
| ~ ssList(sK11(app(sK60,sK56),sK60))
| ~ ssList(app(sK60,sK11(app(sK60,sK56),sK60))) ),
inference(superposition,[status(thm)],[c_220631,c_188131]) ).
tcf(c_220651,plain,
! [X0: $i] :
( segmentP(app(sK60,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(sK11(app(sK60,sK56),sK60)) ),
inference(superposition,[status(thm)],[c_220631,c_189082]) ).
tcf(c_220652,plain,
! [X0: $i] :
( segmentP(app(sK60,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK60,sK56),sK60)) ),
inference(superposition,[status(thm)],[c_220631,c_189062]) ).
tcf(c_220653,plain,
( ssList(app(sK60,sK56))
| ~ ssList(sK11(app(sK60,sK56),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220641,c_12927]) ).
tcf(c_220656,plain,
( frontsegP(app(sK60,sK56),sK60)
| ~ ssList(sK11(app(sK60,sK56),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220639,c_12927]) ).
tcf(c_220667,plain,
( rearsegP(app(sK60,sK56),sK11(app(sK60,sK56),sK60))
| ~ ssList(sK11(app(sK60,sK56),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220640,c_12927]) ).
tcf(c_220670,plain,
( segmentP(app(sK60,sK56),sK60)
| ~ ssList(app(sK60,sK56))
| ~ ssList(sK11(app(sK60,sK56),sK60)) ),
inference(light_normalisation,[status(thm)],[c_220650,c_220631]) ).
tcf(c_220674,plain,
( ( nil = sK60 )
| ~ ssList(sK11(app(sK60,sK56),sK60))
| ( app(sK60,sK56) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220637,c_12927]) ).
tcf(c_220681,plain,
! [X0: $i] :
( memberP(app(sK60,sK56),X0)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(sK11(app(sK60,sK56),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220645,c_12927]) ).
tcf(c_220686,plain,
! [X0: $i] :
( frontsegP(app(sK60,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(sK60,X0)
| ~ ssList(sK11(app(sK60,sK56),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220644,c_12927]) ).
tcf(c_220691,plain,
( ( sK11(app(sK60,sK56),sK60) = nil )
| ~ ssList(sK11(app(sK60,sK56),sK60))
| ( app(sK60,sK56) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220638,c_12927]) ).
tcf(c_220695,plain,
! [X0: $i] :
( memberP(app(sK60,sK56),X0)
| ~ ssItem(X0)
| ~ ssList(sK11(app(sK60,sK56),sK60))
| ~ memberP(sK11(app(sK60,sK56),sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220648,c_12927]) ).
tcf(c_220700,plain,
! [X0: $i] :
( rearsegP(app(sK60,sK56),X0)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK56),sK60))
| ~ rearsegP(sK11(app(sK60,sK56),sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220647,c_12927]) ).
tcf(c_220705,plain,
! [X0: $i] :
( memberP(sK60,X0)
| memberP(sK11(app(sK60,sK56),sK60),X0)
| ~ ssItem(X0)
| ~ memberP(app(sK60,sK56),X0)
| ~ ssList(sK11(app(sK60,sK56),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220636,c_12927]) ).
tcf(c_220711,plain,
! [X0: $i] :
( ( sK11(app(sK60,sK56),sK60) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK56),sK60))
| ( app(sK60,X0) != app(sK60,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220643,c_12927]) ).
tcf(c_220716,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK56),sK60))
| ( app(X0,sK11(app(sK60,sK56),sK60)) != app(sK60,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220642,c_12927]) ).
tcf(c_220721,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK60,sK56),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK56),sK60))
| ~ segmentP(sK11(app(sK60,sK56),sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220646,c_12927]) ).
tcf(c_220727,plain,
! [X0: $i] :
( segmentP(app(app(sK60,sK56),X0),sK11(app(sK60,sK56),sK60))
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK56),sK60))
| ~ ssList(app(app(sK60,sK56),X0)) ),
inference(light_normalisation,[status(thm)],[c_220633,c_220631]) ).
tcf(c_220728,plain,
! [X0: $i] :
( segmentP(app(app(sK60,sK56),X0),sK11(app(sK60,sK56),sK60))
| ~ ssList(X0)
| ~ ssList(sK11(app(sK60,sK56),sK60))
| ~ ssList(app(app(sK60,sK56),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220727,c_12927]) ).
tcf(c_221342,plain,
! [X0: $i] :
( rearsegP(app(sK60,sK56),X0)
| ~ ssList(X0)
| ~ ssList(app(sK60,sK56))
| ~ ssList(sK11(app(sK60,sK56),sK60))
| ~ rearsegP(sK11(app(sK60,sK56),sK60),X0) ),
inference(superposition,[status(thm)],[c_220667,c_183]) ).
tcf(c_221343,plain,
( ( sK11(app(sK60,sK56),sK60) = app(sK60,sK56) )
| ~ ssList(app(sK60,sK56))
| ~ ssList(sK11(app(sK60,sK56),sK60))
| ~ rearsegP(sK11(app(sK60,sK56),sK60),app(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_220667,c_184]) ).
tcf(c_221344,plain,
( ( app(sK12(app(sK60,sK56),sK11(app(sK60,sK56),sK60)),sK11(app(sK60,sK56),sK60)) = app(sK60,sK56) )
| ~ ssList(app(sK60,sK56))
| ~ ssList(sK11(app(sK60,sK56),sK60)) ),
inference(superposition,[status(thm)],[c_220667,c_66]) ).
tcf(c_221607,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK60,sK56),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sK60,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(app(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_205183,c_173]) ).
tcf(c_221608,plain,
! [X0: $i] :
( ( app(sK60,sK56) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sK60,X0)
| ~ ssList(app(sK60,sK56))
| ~ frontsegP(X0,app(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_205183,c_174]) ).
tcf(c_221609,plain,
! [X0: $i] :
( ( app(X0,sK11(app(sK60,sK56),X0)) = app(sK60,sK56) )
| ~ ssList(X0)
| ~ frontsegP(sK60,X0)
| ~ ssList(app(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_205183,c_63]) ).
tcf(c_221625,plain,
app(sK59,sK11(app(sK59,sK56),sK59)) = app(sK59,sK56),
inference(global_subsumption_just,[status(thm)],[c_206291,c_67117]) ).
tcf(c_221627,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_221625,c_67]) ).
tcf(c_221630,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_221625,c_167]) ).
tcf(c_221631,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ( app(sK59,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_221625,c_231]) ).
tcf(c_221632,plain,
( ( sK11(app(sK59,sK56),sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ( app(sK59,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_221625,c_230]) ).
tcf(c_221633,plain,
( frontsegP(app(sK59,sK56),sK59)
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_221625,c_378]) ).
tcf(c_221634,plain,
( rearsegP(app(sK59,sK56),sK11(app(sK59,sK56),sK59))
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_221625,c_375]) ).
tcf(c_221635,plain,
( ssList(app(sK59,sK56))
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_221625,c_153]) ).
tcf(c_221636,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_221625,c_225]) ).
tcf(c_221637,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_221625,c_226]) ).
tcf(c_221638,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_221625,c_176]) ).
tcf(c_221639,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_221625,c_165]) ).
tcf(c_221640,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_221625,c_193]) ).
tcf(c_221641,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_221625,c_186]) ).
tcf(c_221642,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_221625,c_166]) ).
tcf(c_221643,plain,
( ( sK11(app(sK59,sK56),sK59) = iPr_def_10 )
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ( app(sK59,sK56) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_221625,c_186983]) ).
tcf(c_221644,plain,
( ( sK11(app(sK59,sK56),sK59) = nil )
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ( app(sK59,sK56) != sK59 ) ),
inference(superposition,[status(thm)],[c_221625,c_186947]) ).
tcf(c_221645,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_221625,c_188126]) ).
tcf(c_221646,plain,
! [X0: $i] :
( segmentP(app(sK59,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_221625,c_189077]) ).
tcf(c_221647,plain,
! [X0: $i] :
( segmentP(app(sK59,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_221625,c_189057]) ).
tcf(c_221648,plain,
( ssList(app(sK59,sK56))
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221635,c_12926]) ).
tcf(c_221651,plain,
( frontsegP(app(sK59,sK56),sK59)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221633,c_12926]) ).
tcf(c_221662,plain,
( rearsegP(app(sK59,sK56),sK11(app(sK59,sK56),sK59))
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221634,c_12926]) ).
tcf(c_221665,plain,
( segmentP(app(sK59,sK56),sK59)
| ~ ssList(app(sK59,sK56))
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(light_normalisation,[status(thm)],[c_221645,c_221625]) ).
tcf(c_221669,plain,
( ( nil = sK59 )
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ( app(sK59,sK56) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221631,c_12926]) ).
tcf(c_221679,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_221639,c_12926]) ).
tcf(c_221684,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_221638,c_12926]) ).
tcf(c_221689,plain,
( ( sK11(app(sK59,sK56),sK59) = nil )
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ( app(sK59,sK56) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221632,c_12926]) ).
tcf(c_221693,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_221642,c_12926]) ).
tcf(c_221698,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_221641,c_12926]) ).
tcf(c_221703,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_221630,c_12926]) ).
tcf(c_221709,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_221637,c_12926]) ).
tcf(c_221714,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_221636,c_12926]) ).
tcf(c_221719,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_221640,c_12926]) ).
tcf(c_221725,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_221627,c_221625]) ).
tcf(c_221726,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_221725,c_12926]) ).
tcf(c_221855,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60)))
| ~ ssList(app(app(X0,cons(hd(tl(sK60)),X1)),tl(sK60)))
| ~ duplicatefreeP(app(app(X0,cons(hd(tl(sK60)),X1)),cons(hd(tl(sK60)),tl(tl(sK60))))) ),
inference(superposition,[status(thm)],[c_176249,c_130]) ).
tcf(c_221856,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(hd(tl(sK60)),X1)
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60)))
| ~ ssList(app(app(X0,tl(sK60)),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(hd(tl(sK60)),tl(tl(sK60)))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_176249,c_122]) ).
tcf(c_221857,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(hd(tl(sK60)),X1)
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60)))
| ~ ssList(app(app(X0,tl(sK60)),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(hd(tl(sK60)),tl(tl(sK60)))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_176249,c_114]) ).
tcf(c_221858,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60)))
| ~ ssList(app(app(X0,tl(sK60)),cons(hd(tl(sK60)),X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(tl(sK60)),tl(tl(sK60)))),cons(hd(tl(sK60)),X1))) ),
inference(superposition,[status(thm)],[c_176249,c_130]) ).
tcf(c_221862,plain,
! [X0: $i] :
( memberP(app(X0,tl(sK60)),hd(tl(sK60)))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X0)
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60)))
| ~ ssList(app(X0,cons(hd(tl(sK60)),tl(tl(sK60))))) ),
inference(superposition,[status(thm)],[c_176249,c_54]) ).
tcf(c_221863,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(tl(sK60)))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60)))
| ~ ssList(app(app(X0,cons(X1,X2)),tl(sK60)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(tl(sK60)),tl(tl(sK60))))) ),
inference(superposition,[status(thm)],[c_176249,c_122]) ).
tcf(c_221864,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(tl(sK60)))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60)))
| ~ ssList(app(app(X0,cons(X1,X2)),tl(sK60)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(tl(sK60)),tl(tl(sK60))))) ),
inference(superposition,[status(thm)],[c_176249,c_114]) ).
tcf(c_221868,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( hd(tl(sK60)) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60)))
| ~ ssList(app(X0,cons(X1,tl(sK60))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(tl(sK60)),tl(tl(sK60)))))) ),
inference(superposition,[status(thm)],[c_176249,c_137]) ).
tcf(c_221871,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( hd(tl(sK60)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60)))
| ~ frontsegP(cons(X0,X1),tl(sK60)) ),
inference(superposition,[status(thm)],[c_176249,c_178]) ).
tcf(c_221872,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,tl(tl(sK60)))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60)))
| ~ frontsegP(cons(X0,X1),tl(sK60)) ),
inference(superposition,[status(thm)],[c_176249,c_179]) ).
tcf(c_221873,plain,
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( tl(tl(sK60)) = nil )
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60)))
| ( tl(sK60) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_176249,c_190118]) ).
tcf(c_221874,plain,
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( hd(tl(sK60)) = sK57 )
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60)))
| ( tl(sK60) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_176249,c_189982]) ).
tcf(c_221875,plain,
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( hd(tl(sK60)) = sK57 )
| ~ frontsegP(iPr_def_10,tl(sK60))
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60))) ),
inference(superposition,[status(thm)],[c_176249,c_189539]) ).
tcf(c_221876,plain,
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( hd(tl(sK60)) = sK57 )
| ~ frontsegP(tl(sK60),iPr_def_10)
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60))) ),
inference(superposition,[status(thm)],[c_176249,c_189534]) ).
tcf(c_221877,plain,
( frontsegP(nil,tl(tl(sK60)))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ frontsegP(iPr_def_10,tl(sK60))
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60))) ),
inference(superposition,[status(thm)],[c_176249,c_188786]) ).
tcf(c_221878,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( tl(tl(sK60)) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60)))
| ( cons(X0,X1) != tl(sK60) ) ),
inference(superposition,[status(thm)],[c_176249,c_144]) ).
tcf(c_221879,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( hd(tl(sK60)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60)))
| ( cons(X0,X1) != tl(sK60) ) ),
inference(superposition,[status(thm)],[c_176249,c_143]) ).
tcf(c_221880,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( hd(tl(sK60)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60)))
| ~ frontsegP(tl(sK60),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_176249,c_178]) ).
tcf(c_221881,plain,
! [X0: $i,X1: $i] :
( frontsegP(tl(tl(sK60)),X1)
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60)))
| ~ frontsegP(tl(sK60),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_176249,c_179]) ).
tcf(c_221882,plain,
! [X0: $i] :
( memberP(tl(tl(sK60)),X0)
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ( hd(tl(sK60)) = X0 )
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60)))
| ~ memberP(tl(sK60),X0) ),
inference(superposition,[status(thm)],[c_176249,c_170]) ).
tcf(c_221883,plain,
( lt(hd(tl(sK60)),hd(tl(tl(sK60))))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ( tl(tl(sK60)) = nil )
| ~ strictorderedP(tl(sK60))
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60))) ),
inference(superposition,[status(thm)],[c_176249,c_214]) ).
tcf(c_221884,plain,
( leq(hd(tl(sK60)),hd(tl(tl(sK60))))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ( tl(tl(sK60)) = nil )
| ~ totalorderedP(tl(sK60))
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60))) ),
inference(superposition,[status(thm)],[c_176249,c_208]) ).
tcf(c_221885,plain,
( strictorderedP(tl(tl(sK60)))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ( tl(tl(sK60)) = nil )
| ~ strictorderedP(tl(sK60))
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60))) ),
inference(superposition,[status(thm)],[c_176249,c_213]) ).
tcf(c_221886,plain,
( totalorderedP(tl(tl(sK60)))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ( tl(tl(sK60)) = nil )
| ~ totalorderedP(tl(sK60))
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60))) ),
inference(superposition,[status(thm)],[c_176249,c_207]) ).
tcf(c_221888,plain,
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60)))
| ( tl(tl(sK60)) != tl(sK60) ) ),
inference(superposition,[status(thm)],[c_176249,c_142]) ).
tcf(c_221889,plain,
( memberP(tl(sK60),hd(tl(sK60)))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60))) ),
inference(superposition,[status(thm)],[c_176249,c_168]) ).
tcf(c_221891,plain,
! [X0: $i] :
( frontsegP(tl(sK60),cons(hd(tl(sK60)),X0))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X0)
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60)))
| ~ frontsegP(tl(tl(sK60)),X0) ),
inference(superposition,[status(thm)],[c_176249,c_177]) ).
tcf(c_221892,plain,
! [X0: $i] :
( memberP(tl(sK60),X0)
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60)))
| ~ memberP(tl(tl(sK60)),X0) ),
inference(superposition,[status(thm)],[c_176249,c_169]) ).
tcf(c_221893,plain,
! [X0: $i] :
( frontsegP(cons(hd(tl(sK60)),X0),tl(sK60))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X0)
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60)))
| ~ frontsegP(X0,tl(tl(sK60))) ),
inference(superposition,[status(thm)],[c_176249,c_177]) ).
tcf(c_222179,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_11),X0),sK11(tl(iPr_def_11),nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_11),nil))
| ~ ssList(app(app(nil,sK11(tl(iPr_def_11),nil)),X0)) ),
inference(superposition,[status(thm)],[c_195342,c_67]) ).
tcf(c_222182,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK11(tl(iPr_def_11),nil),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(tl(iPr_def_11),X0)
| ~ ssList(sK11(tl(iPr_def_11),nil)) ),
inference(superposition,[status(thm)],[c_195342,c_167]) ).
tcf(c_222184,plain,
( ( sK11(tl(iPr_def_11),nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK11(tl(iPr_def_11),nil))
| ( tl(iPr_def_11) != nil ) ),
inference(superposition,[status(thm)],[c_195342,c_230]) ).
tcf(c_222186,plain,
( rearsegP(tl(iPr_def_11),sK11(tl(iPr_def_11),nil))
| ~ ssList(nil)
| ~ ssList(sK11(tl(iPr_def_11),nil)) ),
inference(superposition,[status(thm)],[c_195342,c_375]) ).
tcf(c_222188,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_11),nil))
| ( app(X0,sK11(tl(iPr_def_11),nil)) != tl(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_195342,c_225]) ).
tcf(c_222189,plain,
( ( sK11(tl(iPr_def_11),nil) = sK60 )
| ~ ssList(sK11(tl(iPr_def_11),nil))
| ( tl(iPr_def_11) != sK60 ) ),
inference(superposition,[status(thm)],[c_195342,c_186967]) ).
tcf(c_222190,plain,
( ( sK11(tl(iPr_def_11),nil) = sK59 )
| ~ ssList(sK11(tl(iPr_def_11),nil))
| ( tl(iPr_def_11) != sK59 ) ),
inference(superposition,[status(thm)],[c_195342,c_186963]) ).
tcf(c_222191,plain,
( ( sK11(tl(iPr_def_11),nil) = sK56 )
| ~ ssList(sK11(tl(iPr_def_11),nil))
| ( tl(iPr_def_11) != sK56 ) ),
inference(superposition,[status(thm)],[c_195342,c_186959]) ).
tcf(c_222192,plain,
! [X0: $i] :
( ( sK11(tl(iPr_def_11),nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_11),nil))
| ( app(nil,X0) != tl(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_195342,c_226]) ).
tcf(c_222193,plain,
! [X0: $i] :
( frontsegP(tl(iPr_def_11),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK11(tl(iPr_def_11),nil)) ),
inference(superposition,[status(thm)],[c_195342,c_176]) ).
tcf(c_222195,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(iPr_def_11),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_11),nil))
| ~ segmentP(sK11(tl(iPr_def_11),nil),X0) ),
inference(superposition,[status(thm)],[c_195342,c_193]) ).
tcf(c_222196,plain,
! [X0: $i] :
( rearsegP(tl(iPr_def_11),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_11),nil))
| ~ rearsegP(sK11(tl(iPr_def_11),nil),X0) ),
inference(superposition,[status(thm)],[c_195342,c_186]) ).
tcf(c_222197,plain,
! [X0: $i] :
( memberP(tl(iPr_def_11),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK11(tl(iPr_def_11),nil))
| ~ memberP(sK11(tl(iPr_def_11),nil),X0) ),
inference(superposition,[status(thm)],[c_195342,c_166]) ).
tcf(c_222198,plain,
( rearsegP(tl(iPr_def_11),sK11(tl(iPr_def_11),nil))
| ~ ssList(sK11(tl(iPr_def_11),nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222186,c_141]) ).
tcf(c_222211,plain,
( ( sK11(tl(iPr_def_11),nil) = nil )
| ~ ssList(sK11(tl(iPr_def_11),nil))
| ( tl(iPr_def_11) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222184,c_141]) ).
tcf(c_222215,plain,
! [X0: $i] :
( memberP(tl(iPr_def_11),X0)
| ~ ssItem(X0)
| ~ ssList(sK11(tl(iPr_def_11),nil))
| ~ memberP(sK11(tl(iPr_def_11),nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222197,c_141]) ).
tcf(c_222220,plain,
! [X0: $i] :
( rearsegP(tl(iPr_def_11),X0)
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_11),nil))
| ~ rearsegP(sK11(tl(iPr_def_11),nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222196,c_141]) ).
tcf(c_222225,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK11(tl(iPr_def_11),nil),X0)
| ~ ssItem(X0)
| ~ memberP(tl(iPr_def_11),X0)
| ~ ssList(sK11(tl(iPr_def_11),nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222182,c_141]) ).
tcf(c_222231,plain,
! [X0: $i] :
( ( sK11(tl(iPr_def_11),nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_11),nil))
| ( app(nil,X0) != tl(iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222192,c_141]) ).
tcf(c_222236,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_11),nil))
| ( app(X0,sK11(tl(iPr_def_11),nil)) != tl(iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222188,c_141]) ).
tcf(c_222241,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(iPr_def_11),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_11),nil))
| ~ segmentP(sK11(tl(iPr_def_11),nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222195,c_141]) ).
tcf(c_222247,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_11),X0),sK11(tl(iPr_def_11),nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_11),nil))
| ~ ssList(app(tl(iPr_def_11),X0)) ),
inference(light_normalisation,[status(thm)],[c_222179,c_195342]) ).
tcf(c_222248,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_11),X0),sK11(tl(iPr_def_11),nil))
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_11),nil))
| ~ ssList(app(tl(iPr_def_11),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222247,c_141]) ).
tcf(c_222273,plain,
! [X0: $i] :
( frontsegP(nil,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11))
| ~ frontsegP(tl(iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_219170,c_173]) ).
tcf(c_222274,plain,
( ( tl(iPr_def_11) = nil )
| ~ ssList(nil)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11))
| ~ frontsegP(tl(iPr_def_11),nil) ),
inference(superposition,[status(thm)],[c_219170,c_174]) ).
tcf(c_222275,plain,
( ( app(tl(iPr_def_11),sK11(nil,tl(iPr_def_11))) = nil )
| ~ ssList(nil)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_219170,c_63]) ).
tcf(c_222276,plain,
( frontsegP(iPr_def_10,tl(iPr_def_11))
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_219170,c_178535]) ).
tcf(c_222277,plain,
( frontsegP(iPr_def_13,tl(iPr_def_11))
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_219170,c_178519]) ).
tcf(c_222278,plain,
( frontsegP(iPr_def_11,tl(iPr_def_11))
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_219170,c_178515]) ).
tcf(c_222279,plain,
( frontsegP(iPr_def_12,tl(iPr_def_11))
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_219170,c_178511]) ).
tcf(c_222280,plain,
( frontsegP(sK60,tl(iPr_def_11))
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_219170,c_178531]) ).
tcf(c_222281,plain,
( frontsegP(sK59,tl(iPr_def_11))
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_219170,c_178527]) ).
tcf(c_222282,plain,
( frontsegP(sK56,tl(iPr_def_11))
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_219170,c_178523]) ).
tcf(c_222284,plain,
( ( tl(iPr_def_11) = nil )
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_219170,c_195343]) ).
tcf(c_222287,plain,
( frontsegP(sK56,tl(iPr_def_11))
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222282,c_182940]) ).
tcf(c_222290,plain,
( frontsegP(sK59,tl(iPr_def_11))
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222281,c_182940]) ).
tcf(c_222293,plain,
( frontsegP(sK60,tl(iPr_def_11))
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222280,c_182940]) ).
tcf(c_222296,plain,
( frontsegP(iPr_def_12,tl(iPr_def_11))
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222279,c_182940]) ).
tcf(c_222299,plain,
( frontsegP(iPr_def_11,tl(iPr_def_11))
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222278,c_182940]) ).
tcf(c_222302,plain,
( frontsegP(iPr_def_13,tl(iPr_def_11))
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222277,c_182940]) ).
tcf(c_222305,plain,
( frontsegP(iPr_def_10,tl(iPr_def_11))
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222276,c_182940]) ).
tcf(c_222308,plain,
( ( app(tl(iPr_def_11),sK11(nil,tl(iPr_def_11))) = nil )
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222275,c_141,c_182940]) ).
tcf(c_222312,plain,
! [X0: $i] :
( frontsegP(nil,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ frontsegP(tl(iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222273,c_141,c_182940]) ).
tcf(c_222329,plain,
( memberP(iPr_def_10,hd(iPr_def_11))
| ( app(sK8(sK59,hd(iPr_def_11)),cons(hd(iPr_def_11),sK9(sK59,hd(iPr_def_11)))) = sK59 )
| ~ ssList(sK59)
| ~ ssItem(hd(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_219542,c_57]) ).
tcf(c_222333,plain,
( memberP(iPr_def_10,hd(iPr_def_11))
| ( app(sK8(sK59,hd(iPr_def_11)),cons(hd(iPr_def_11),sK9(sK59,hd(iPr_def_11)))) = sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222329,c_12926,c_180254]) ).
tcf(c_222351,plain,
! [X0: $i] :
( frontsegP(nil,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_220073,c_173]) ).
tcf(c_222352,plain,
( ( tl(iPr_def_12) = nil )
| ~ ssList(nil)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),nil) ),
inference(superposition,[status(thm)],[c_220073,c_174]) ).
tcf(c_222353,plain,
( ( app(tl(iPr_def_12),sK11(nil,tl(iPr_def_12))) = nil )
| ~ ssList(nil)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_220073,c_63]) ).
tcf(c_222354,plain,
( frontsegP(iPr_def_10,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_220073,c_178535]) ).
tcf(c_222355,plain,
( frontsegP(iPr_def_13,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_220073,c_178519]) ).
tcf(c_222356,plain,
( frontsegP(iPr_def_11,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_220073,c_178515]) ).
tcf(c_222357,plain,
( frontsegP(iPr_def_12,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_220073,c_178511]) ).
tcf(c_222358,plain,
( frontsegP(sK60,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_220073,c_178531]) ).
tcf(c_222359,plain,
( frontsegP(sK59,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_220073,c_178527]) ).
tcf(c_222360,plain,
( frontsegP(sK56,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_220073,c_178523]) ).
tcf(c_222361,plain,
( ( tl(iPr_def_12) = nil )
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_220073,c_182]) ).
tcf(c_222362,plain,
( frontsegP(sK56,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222360,c_184135]) ).
tcf(c_222365,plain,
( frontsegP(sK59,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222359,c_184135]) ).
tcf(c_222368,plain,
( frontsegP(sK60,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222358,c_184135]) ).
tcf(c_222371,plain,
( frontsegP(iPr_def_12,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222357,c_184135]) ).
tcf(c_222374,plain,
( frontsegP(iPr_def_11,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222356,c_184135]) ).
tcf(c_222377,plain,
( frontsegP(iPr_def_13,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222355,c_184135]) ).
tcf(c_222380,plain,
( frontsegP(iPr_def_10,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222354,c_184135]) ).
tcf(c_222383,plain,
( ( tl(iPr_def_12) = nil )
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222361,c_184135]) ).
tcf(c_222386,plain,
( ( app(tl(iPr_def_12),sK11(nil,tl(iPr_def_12))) = nil )
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222353,c_141,c_184135]) ).
tcf(c_222390,plain,
! [X0: $i] :
( frontsegP(nil,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222351,c_141,c_184135]) ).
tcf(c_222498,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11))
| ~ frontsegP(tl(iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_222287,c_173]) ).
tcf(c_222499,plain,
( ( tl(iPr_def_11) = sK56 )
| ~ ssList(sK56)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11))
| ~ frontsegP(tl(iPr_def_11),sK56) ),
inference(superposition,[status(thm)],[c_222287,c_174]) ).
tcf(c_222500,plain,
( ( app(tl(iPr_def_11),sK11(sK56,tl(iPr_def_11))) = sK56 )
| ~ ssList(sK56)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_222287,c_63]) ).
tcf(c_222501,plain,
( ( app(tl(iPr_def_11),sK11(sK56,tl(iPr_def_11))) = sK56 )
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222500,c_12924,c_182940]) ).
tcf(c_222504,plain,
( ( tl(iPr_def_11) = sK56 )
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ frontsegP(tl(iPr_def_11),sK56) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222499,c_12924,c_182940]) ).
tcf(c_222508,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ frontsegP(tl(iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222498,c_12924,c_182940]) ).
tcf(c_222544,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_221662,c_183]) ).
tcf(c_222545,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_221662,c_184]) ).
tcf(c_222546,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_221662,c_66]) ).
tcf(c_222573,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_206298,c_173]) ).
tcf(c_222574,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_206298,c_174]) ).
tcf(c_222575,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_206298,c_63]) ).
tcf(c_222591,plain,
app(sK56,sK11(app(sK56,sK56),sK56)) = app(sK56,sK56),
inference(global_subsumption_just,[status(thm)],[c_206609,c_67728]) ).
tcf(c_222593,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_222591,c_67]) ).
tcf(c_222596,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_222591,c_167]) ).
tcf(c_222597,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ( app(sK56,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_222591,c_231]) ).
tcf(c_222598,plain,
( ( sK11(app(sK56,sK56),sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ( app(sK56,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_222591,c_230]) ).
tcf(c_222599,plain,
( frontsegP(app(sK56,sK56),sK56)
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_222591,c_378]) ).
tcf(c_222600,plain,
( rearsegP(app(sK56,sK56),sK11(app(sK56,sK56),sK56))
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_222591,c_375]) ).
tcf(c_222601,plain,
( ssList(app(sK56,sK56))
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_222591,c_153]) ).
tcf(c_222602,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_222591,c_225]) ).
tcf(c_222603,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_222591,c_226]) ).
tcf(c_222604,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_222591,c_176]) ).
tcf(c_222605,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_222591,c_165]) ).
tcf(c_222606,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_222591,c_193]) ).
tcf(c_222607,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_222591,c_186]) ).
tcf(c_222608,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_222591,c_166]) ).
tcf(c_222609,plain,
( ( sK11(app(sK56,sK56),sK56) = nil )
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ( app(sK56,sK56) != sK56 ) ),
inference(superposition,[status(thm)],[c_222591,c_186943]) ).
tcf(c_222610,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_222591,c_188121]) ).
tcf(c_222611,plain,
! [X0: $i] :
( segmentP(app(sK56,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_222591,c_189072]) ).
tcf(c_222612,plain,
! [X0: $i] :
( segmentP(app(sK56,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_222591,c_189052]) ).
tcf(c_222613,plain,
( ssList(app(sK56,sK56))
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222601,c_12924]) ).
tcf(c_222616,plain,
( frontsegP(app(sK56,sK56),sK56)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222599,c_12924]) ).
tcf(c_222627,plain,
( rearsegP(app(sK56,sK56),sK11(app(sK56,sK56),sK56))
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222600,c_12924]) ).
tcf(c_222630,plain,
( segmentP(app(sK56,sK56),sK56)
| ~ ssList(app(sK56,sK56))
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(light_normalisation,[status(thm)],[c_222610,c_222591]) ).
tcf(c_222634,plain,
( ( nil = sK56 )
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ( app(sK56,sK56) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222597,c_12924]) ).
tcf(c_222641,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_222605,c_12924]) ).
tcf(c_222646,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_222604,c_12924]) ).
tcf(c_222651,plain,
( ( sK11(app(sK56,sK56),sK56) = nil )
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ( app(sK56,sK56) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222598,c_12924]) ).
tcf(c_222655,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_222608,c_12924]) ).
tcf(c_222660,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_222607,c_12924]) ).
tcf(c_222665,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_222596,c_12924]) ).
tcf(c_222671,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_222603,c_12924]) ).
tcf(c_222676,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_222602,c_12924]) ).
tcf(c_222681,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_222606,c_12924]) ).
tcf(c_222687,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_222593,c_222591]) ).
tcf(c_222688,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_222687,c_12924]) ).
tcf(c_222699,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_176250,c_130]) ).
tcf(c_222700,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_176250,c_122]) ).
tcf(c_222701,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_176250,c_114]) ).
tcf(c_222702,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_176250,c_130]) ).
tcf(c_222706,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_176250,c_54]) ).
tcf(c_222707,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_176250,c_122]) ).
tcf(c_222708,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_176250,c_114]) ).
tcf(c_222712,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_176250,c_137]) ).
tcf(c_222715,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_176250,c_178]) ).
tcf(c_222716,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_176250,c_179]) ).
tcf(c_222717,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( tl(tl(sK59)) = nil )
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ( tl(sK59) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_176250,c_190118]) ).
tcf(c_222718,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( hd(tl(sK59)) = sK57 )
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ( tl(sK59) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_176250,c_189982]) ).
tcf(c_222719,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( hd(tl(sK59)) = sK57 )
| ~ frontsegP(iPr_def_10,tl(sK59))
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59))) ),
inference(superposition,[status(thm)],[c_176250,c_189539]) ).
tcf(c_222720,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( hd(tl(sK59)) = sK57 )
| ~ frontsegP(tl(sK59),iPr_def_10)
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59))) ),
inference(superposition,[status(thm)],[c_176250,c_189534]) ).
tcf(c_222721,plain,
( frontsegP(nil,tl(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ frontsegP(iPr_def_10,tl(sK59))
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59))) ),
inference(superposition,[status(thm)],[c_176250,c_188786]) ).
tcf(c_222722,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_176250,c_144]) ).
tcf(c_222723,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_176250,c_143]) ).
tcf(c_222724,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_176250,c_178]) ).
tcf(c_222725,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_176250,c_179]) ).
tcf(c_222726,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_176250,c_170]) ).
tcf(c_222727,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_176250,c_214]) ).
tcf(c_222728,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_176250,c_208]) ).
tcf(c_222729,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_176250,c_213]) ).
tcf(c_222730,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_176250,c_207]) ).
tcf(c_222732,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ( tl(tl(sK59)) != tl(sK59) ) ),
inference(superposition,[status(thm)],[c_176250,c_142]) ).
tcf(c_222733,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_176250,c_168]) ).
tcf(c_222735,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_176250,c_177]) ).
tcf(c_222736,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_176250,c_169]) ).
tcf(c_222737,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_176250,c_177]) ).
tcf(c_223233,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_195422,c_67]) ).
tcf(c_223236,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_195422,c_167]) ).
tcf(c_223237,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_195422,c_231]) ).
tcf(c_223239,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_195422,c_378]) ).
tcf(c_223242,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_195422,c_225]) ).
tcf(c_223243,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_195422,c_226]) ).
tcf(c_223244,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_195422,c_176]) ).
tcf(c_223245,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_195422,c_165]) ).
tcf(c_223246,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_195422,c_193]) ).
tcf(c_223247,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_195422,c_186]) ).
tcf(c_223249,plain,
( ( sK12(tl(iPr_def_12),nil) = sK60 )
| ~ ssList(sK12(tl(iPr_def_12),nil))
| ( tl(iPr_def_12) != sK60 ) ),
inference(superposition,[status(thm)],[c_195422,c_186294]) ).
tcf(c_223250,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_195422,c_186290]) ).
tcf(c_223251,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_195422,c_186286]) ).
tcf(c_223252,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_223239,c_141]) ).
tcf(c_223265,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_223237,c_141]) ).
tcf(c_223269,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_223245,c_141]) ).
tcf(c_223274,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_223244,c_141]) ).
tcf(c_223280,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_223236,c_141]) ).
tcf(c_223286,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_223243,c_141]) ).
tcf(c_223291,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_223242,c_141]) ).
tcf(c_223296,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_223233,c_195422]) ).
tcf(c_223297,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_223296,c_141]) ).
tcf(c_223338,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_195690,c_67]) ).
tcf(c_223341,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_195690,c_167]) ).
tcf(c_223343,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_195690,c_230]) ).
tcf(c_223345,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_195690,c_375]) ).
tcf(c_223347,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_195690,c_225]) ).
tcf(c_223348,plain,
( ( sK11(tl(iPr_def_12),nil) = sK60 )
| ~ ssList(sK11(tl(iPr_def_12),nil))
| ( tl(iPr_def_12) != sK60 ) ),
inference(superposition,[status(thm)],[c_195690,c_186967]) ).
tcf(c_223349,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_195690,c_186963]) ).
tcf(c_223350,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_195690,c_186959]) ).
tcf(c_223351,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_195690,c_226]) ).
tcf(c_223352,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_195690,c_176]) ).
tcf(c_223354,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_195690,c_193]) ).
tcf(c_223355,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_195690,c_186]) ).
tcf(c_223356,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_195690,c_166]) ).
tcf(c_223357,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_223345,c_141]) ).
tcf(c_223370,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_223343,c_141]) ).
tcf(c_223374,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_223356,c_141]) ).
tcf(c_223379,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_223355,c_141]) ).
tcf(c_223384,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_223341,c_141]) ).
tcf(c_223390,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_223351,c_141]) ).
tcf(c_223395,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_223347,c_141]) ).
tcf(c_223400,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_223354,c_141]) ).
tcf(c_223406,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_223338,c_195690]) ).
tcf(c_223407,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_223406,c_141]) ).
tcf(c_223442,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11))
| ~ frontsegP(tl(iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_222290,c_173]) ).
tcf(c_223443,plain,
( ( tl(iPr_def_11) = sK59 )
| ~ ssList(sK59)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11))
| ~ frontsegP(tl(iPr_def_11),sK59) ),
inference(superposition,[status(thm)],[c_222290,c_174]) ).
tcf(c_223444,plain,
( ( app(tl(iPr_def_11),sK11(sK59,tl(iPr_def_11))) = sK59 )
| ~ ssList(sK59)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_222290,c_63]) ).
tcf(c_223448,plain,
( ( app(tl(iPr_def_11),sK11(sK59,tl(iPr_def_11))) = sK59 )
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223444,c_12926,c_182940]) ).
tcf(c_223451,plain,
( ( tl(iPr_def_11) = sK59 )
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ frontsegP(tl(iPr_def_11),sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223443,c_12926,c_182940]) ).
tcf(c_223455,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ frontsegP(tl(iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223442,c_12926,c_182940]) ).
tcf(c_223468,plain,
! [X0: $i] :
( frontsegP(sK60,X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11))
| ~ frontsegP(tl(iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_222293,c_173]) ).
tcf(c_223469,plain,
( ( tl(iPr_def_11) = sK60 )
| ~ ssList(sK60)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11))
| ~ frontsegP(tl(iPr_def_11),sK60) ),
inference(superposition,[status(thm)],[c_222293,c_174]) ).
tcf(c_223470,plain,
( ( app(tl(iPr_def_11),sK11(sK60,tl(iPr_def_11))) = sK60 )
| ~ ssList(sK60)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_222293,c_63]) ).
tcf(c_223471,plain,
( ( app(tl(iPr_def_11),sK11(sK60,tl(iPr_def_11))) = sK60 )
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223470,c_12927,c_182940]) ).
tcf(c_223474,plain,
( ( tl(iPr_def_11) = sK60 )
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ frontsegP(tl(iPr_def_11),sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223469,c_12927,c_182940]) ).
tcf(c_223478,plain,
! [X0: $i] :
( frontsegP(sK60,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ frontsegP(tl(iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223468,c_12927,c_182940]) ).
tcf(c_223540,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11))
| ~ frontsegP(tl(iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_222296,c_173]) ).
tcf(c_223541,plain,
( ( tl(iPr_def_11) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11))
| ~ frontsegP(tl(iPr_def_11),iPr_def_12) ),
inference(superposition,[status(thm)],[c_222296,c_174]) ).
tcf(c_223542,plain,
( ( app(tl(iPr_def_11),sK11(iPr_def_12,tl(iPr_def_11))) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_222296,c_63]) ).
tcf(c_223544,plain,
( ( app(tl(iPr_def_11),sK11(iPr_def_12,tl(iPr_def_11))) = iPr_def_12 )
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223542,c_173203,c_182940]) ).
tcf(c_223547,plain,
( ( tl(iPr_def_11) = iPr_def_12 )
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ frontsegP(tl(iPr_def_11),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223541,c_173203,c_182940]) ).
tcf(c_223551,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ frontsegP(tl(iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223540,c_173203,c_182940]) ).
tcf(c_223560,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11))
| ~ frontsegP(tl(iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_222299,c_173]) ).
tcf(c_223561,plain,
( ( tl(iPr_def_11) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11))
| ~ frontsegP(tl(iPr_def_11),iPr_def_11) ),
inference(superposition,[status(thm)],[c_222299,c_174]) ).
tcf(c_223562,plain,
( ( app(tl(iPr_def_11),sK11(iPr_def_11,tl(iPr_def_11))) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_222299,c_63]) ).
tcf(c_223565,plain,
( ( app(tl(iPr_def_11),sK11(iPr_def_11,tl(iPr_def_11))) = iPr_def_11 )
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223562,c_173202,c_182940]) ).
tcf(c_223568,plain,
( ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ frontsegP(tl(iPr_def_11),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223561,c_219169,c_173202,c_182940]) ).
tcf(c_223571,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ frontsegP(tl(iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223560,c_173202,c_182940]) ).
tcf(c_223664,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_176251,c_130]) ).
tcf(c_223665,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_176251,c_122]) ).
tcf(c_223666,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_176251,c_114]) ).
tcf(c_223667,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_176251,c_130]) ).
tcf(c_223671,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_176251,c_54]) ).
tcf(c_223672,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_176251,c_122]) ).
tcf(c_223673,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_176251,c_114]) ).
tcf(c_223677,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_176251,c_137]) ).
tcf(c_223680,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_176251,c_178]) ).
tcf(c_223681,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_176251,c_179]) ).
tcf(c_223682,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( tl(tl(sK56)) = nil )
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ( tl(sK56) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_176251,c_190118]) ).
tcf(c_223683,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( hd(tl(sK56)) = sK57 )
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ( tl(sK56) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_176251,c_189982]) ).
tcf(c_223684,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( hd(tl(sK56)) = sK57 )
| ~ frontsegP(iPr_def_10,tl(sK56))
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56))) ),
inference(superposition,[status(thm)],[c_176251,c_189539]) ).
tcf(c_223685,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( hd(tl(sK56)) = sK57 )
| ~ frontsegP(tl(sK56),iPr_def_10)
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56))) ),
inference(superposition,[status(thm)],[c_176251,c_189534]) ).
tcf(c_223686,plain,
( frontsegP(nil,tl(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ frontsegP(iPr_def_10,tl(sK56))
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56))) ),
inference(superposition,[status(thm)],[c_176251,c_188786]) ).
tcf(c_223687,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_176251,c_144]) ).
tcf(c_223688,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_176251,c_143]) ).
tcf(c_223689,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_176251,c_178]) ).
tcf(c_223690,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_176251,c_179]) ).
tcf(c_223691,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_176251,c_170]) ).
tcf(c_223692,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_176251,c_214]) ).
tcf(c_223693,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_176251,c_208]) ).
tcf(c_223694,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_176251,c_213]) ).
tcf(c_223695,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_176251,c_207]) ).
tcf(c_223697,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ( tl(tl(sK56)) != tl(sK56) ) ),
inference(superposition,[status(thm)],[c_176251,c_142]) ).
tcf(c_223698,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_176251,c_168]) ).
tcf(c_223700,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_176251,c_177]) ).
tcf(c_223701,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_176251,c_169]) ).
tcf(c_223702,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_176251,c_177]) ).
tcf(c_224129,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11))
| ~ frontsegP(tl(iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_222302,c_173]) ).
tcf(c_224130,plain,
( ( tl(iPr_def_11) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11))
| ~ frontsegP(tl(iPr_def_11),iPr_def_13) ),
inference(superposition,[status(thm)],[c_222302,c_174]) ).
tcf(c_224131,plain,
( ( app(tl(iPr_def_11),sK11(iPr_def_13,tl(iPr_def_11))) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_222302,c_63]) ).
tcf(c_224132,plain,
( ( app(tl(iPr_def_11),sK11(iPr_def_13,tl(iPr_def_11))) = iPr_def_13 )
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224131,c_172540,c_182940]) ).
tcf(c_224135,plain,
( ( tl(iPr_def_11) = iPr_def_13 )
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ frontsegP(tl(iPr_def_11),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224130,c_172540,c_182940]) ).
tcf(c_224139,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ frontsegP(tl(iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224129,c_172540,c_182940]) ).
tcf(c_224183,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11))
| ~ frontsegP(tl(iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_222305,c_173]) ).
tcf(c_224184,plain,
( ( tl(iPr_def_11) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11))
| ~ frontsegP(tl(iPr_def_11),iPr_def_10) ),
inference(superposition,[status(thm)],[c_222305,c_174]) ).
tcf(c_224185,plain,
( ( app(tl(iPr_def_11),sK11(iPr_def_10,tl(iPr_def_11))) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_222305,c_63]) ).
tcf(c_224186,plain,
( ( app(tl(iPr_def_11),sK11(iPr_def_10,tl(iPr_def_11))) = iPr_def_10 )
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224185,c_173031,c_182940]) ).
tcf(c_224189,plain,
( ( tl(iPr_def_11) = iPr_def_10 )
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ frontsegP(tl(iPr_def_11),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224184,c_173031,c_182940]) ).
tcf(c_224193,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ frontsegP(tl(iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224183,c_173031,c_182940]) ).
tcf(c_224202,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_222362,c_173]) ).
tcf(c_224203,plain,
( ( tl(iPr_def_12) = sK56 )
| ~ ssList(sK56)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),sK56) ),
inference(superposition,[status(thm)],[c_222362,c_174]) ).
tcf(c_224204,plain,
( ( app(tl(iPr_def_12),sK11(sK56,tl(iPr_def_12))) = sK56 )
| ~ ssList(sK56)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_222362,c_63]) ).
tcf(c_224205,plain,
( ( app(tl(iPr_def_12),sK11(sK56,tl(iPr_def_12))) = sK56 )
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224204,c_12924,c_184135]) ).
tcf(c_224208,plain,
( ( tl(iPr_def_12) = sK56 )
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),sK56) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224203,c_12924,c_184135]) ).
tcf(c_224212,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224202,c_12924,c_184135]) ).
tcf(c_224221,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_222365,c_173]) ).
tcf(c_224222,plain,
( ( tl(iPr_def_12) = sK59 )
| ~ ssList(sK59)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),sK59) ),
inference(superposition,[status(thm)],[c_222365,c_174]) ).
tcf(c_224223,plain,
( ( app(tl(iPr_def_12),sK11(sK59,tl(iPr_def_12))) = sK59 )
| ~ ssList(sK59)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_222365,c_63]) ).
tcf(c_224227,plain,
( ( app(tl(iPr_def_12),sK11(sK59,tl(iPr_def_12))) = sK59 )
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224223,c_12926,c_184135]) ).
tcf(c_224230,plain,
( ( tl(iPr_def_12) = sK59 )
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224222,c_12926,c_184135]) ).
tcf(c_224234,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224221,c_12926,c_184135]) ).
tcf(c_224420,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_222627,c_183]) ).
tcf(c_224421,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_222627,c_184]) ).
tcf(c_224422,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_222627,c_66]) ).
tcf(c_224453,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ( app(sK60,iPr_def_13) = nil )
| ( app(sK60,iPr_def_13) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK60,iPr_def_13))
| ( hd(X0) != hd(sK60) )
| ( tl(app(sK60,iPr_def_13)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_181564,c_223]) ).
tcf(c_224454,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK60,iPr_def_13)))
| ( nil = sK60 )
| ( app(sK60,iPr_def_13) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sK60,iPr_def_13))
| ~ ssList(app(sK60,iPr_def_13))
| ~ lt(X0,hd(sK60)) ),
inference(superposition,[status(thm)],[c_181564,c_212]) ).
tcf(c_224455,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK60,iPr_def_13)))
| ( nil = sK60 )
| ( app(sK60,iPr_def_13) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sK60,iPr_def_13))
| ~ ssList(app(sK60,iPr_def_13))
| ~ leq(X0,hd(sK60)) ),
inference(superposition,[status(thm)],[c_181564,c_206]) ).
tcf(c_224571,plain,
! [X0: $i] :
( frontsegP(sK60,X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_222368,c_173]) ).
tcf(c_224572,plain,
( ( tl(iPr_def_12) = sK60 )
| ~ ssList(sK60)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),sK60) ),
inference(superposition,[status(thm)],[c_222368,c_174]) ).
tcf(c_224573,plain,
( ( app(tl(iPr_def_12),sK11(sK60,tl(iPr_def_12))) = sK60 )
| ~ ssList(sK60)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_222368,c_63]) ).
tcf(c_224574,plain,
( ( app(tl(iPr_def_12),sK11(sK60,tl(iPr_def_12))) = sK60 )
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224573,c_12927,c_184135]) ).
tcf(c_224577,plain,
( ( tl(iPr_def_12) = sK60 )
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224572,c_12927,c_184135]) ).
tcf(c_224581,plain,
! [X0: $i] :
( frontsegP(sK60,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224571,c_12927,c_184135]) ).
tcf(c_224590,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_222371,c_173]) ).
tcf(c_224591,plain,
( ( tl(iPr_def_12) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),iPr_def_12) ),
inference(superposition,[status(thm)],[c_222371,c_174]) ).
tcf(c_224592,plain,
( ( app(tl(iPr_def_12),sK11(iPr_def_12,tl(iPr_def_12))) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_222371,c_63]) ).
tcf(c_224594,plain,
( ( app(tl(iPr_def_12),sK11(iPr_def_12,tl(iPr_def_12))) = iPr_def_12 )
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224592,c_173203,c_184135]) ).
tcf(c_224597,plain,
( ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224591,c_220072,c_173203,c_184135]) ).
tcf(c_224600,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224590,c_173203,c_184135]) ).
tcf(c_224637,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_222374,c_173]) ).
tcf(c_224638,plain,
( ( tl(iPr_def_12) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),iPr_def_11) ),
inference(superposition,[status(thm)],[c_222374,c_174]) ).
tcf(c_224639,plain,
( ( app(tl(iPr_def_12),sK11(iPr_def_11,tl(iPr_def_12))) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_222374,c_63]) ).
tcf(c_224642,plain,
( ( app(tl(iPr_def_12),sK11(iPr_def_11,tl(iPr_def_12))) = iPr_def_11 )
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224639,c_173202,c_184135]) ).
tcf(c_224645,plain,
( ( tl(iPr_def_12) = iPr_def_11 )
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224638,c_173202,c_184135]) ).
tcf(c_224649,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224637,c_173202,c_184135]) ).
tcf(c_224658,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_222377,c_173]) ).
tcf(c_224659,plain,
( ( tl(iPr_def_12) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),iPr_def_13) ),
inference(superposition,[status(thm)],[c_222377,c_174]) ).
tcf(c_224660,plain,
( ( app(tl(iPr_def_12),sK11(iPr_def_13,tl(iPr_def_12))) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_222377,c_63]) ).
tcf(c_224661,plain,
( ( app(tl(iPr_def_12),sK11(iPr_def_13,tl(iPr_def_12))) = iPr_def_13 )
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224660,c_172540,c_184135]) ).
tcf(c_224664,plain,
( ( tl(iPr_def_12) = iPr_def_13 )
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224659,c_172540,c_184135]) ).
tcf(c_224668,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224658,c_172540,c_184135]) ).
tcf(c_224895,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_206616,c_173]) ).
tcf(c_224896,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_206616,c_174]) ).
tcf(c_224897,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_206616,c_63]) ).
tcf(c_224913,plain,
app(sK12(sK56,sK11(sK56,nil)),sK11(sK56,nil)) = sK56,
inference(global_subsumption_just,[status(thm)],[c_207129,c_69520]) ).
tcf(c_224915,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_224913,c_67]) ).
tcf(c_224918,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_224913,c_167]) ).
tcf(c_224919,plain,
( ( sK12(sK56,sK11(sK56,nil)) = nil )
| ~ ssList(sK11(sK56,nil))
| ~ ssList(sK12(sK56,sK11(sK56,nil)))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_224913,c_231]) ).
tcf(c_224920,plain,
( ( sK11(sK56,nil) = nil )
| ~ ssList(sK11(sK56,nil))
| ~ ssList(sK12(sK56,sK11(sK56,nil)))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_224913,c_230]) ).
tcf(c_224921,plain,
( frontsegP(sK56,sK12(sK56,sK11(sK56,nil)))
| ~ ssList(sK11(sK56,nil))
| ~ ssList(sK12(sK56,sK11(sK56,nil))) ),
inference(superposition,[status(thm)],[c_224913,c_378]) ).
tcf(c_224924,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_224913,c_225]) ).
tcf(c_224925,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_224913,c_226]) ).
tcf(c_224926,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_224913,c_176]) ).
tcf(c_224927,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_224913,c_165]) ).
tcf(c_224969,plain,
app(sK12(sK59,sK11(sK59,nil)),sK11(sK59,nil)) = sK59,
inference(global_subsumption_just,[status(thm)],[c_207141,c_69584]) ).
tcf(c_224971,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_224969,c_67]) ).
tcf(c_224974,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_224969,c_167]) ).
tcf(c_224975,plain,
( ( sK12(sK59,sK11(sK59,nil)) = nil )
| ~ ssList(sK11(sK59,nil))
| ~ ssList(sK12(sK59,sK11(sK59,nil)))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_224969,c_231]) ).
tcf(c_224976,plain,
( ( sK11(sK59,nil) = nil )
| ~ ssList(sK11(sK59,nil))
| ~ ssList(sK12(sK59,sK11(sK59,nil)))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_224969,c_230]) ).
tcf(c_224977,plain,
( frontsegP(sK59,sK12(sK59,sK11(sK59,nil)))
| ~ ssList(sK11(sK59,nil))
| ~ ssList(sK12(sK59,sK11(sK59,nil))) ),
inference(superposition,[status(thm)],[c_224969,c_378]) ).
tcf(c_224980,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_224969,c_225]) ).
tcf(c_224981,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_224969,c_226]) ).
tcf(c_224982,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_224969,c_176]) ).
tcf(c_224983,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_224969,c_165]) ).
tcf(c_225226,plain,
app(sK12(sK60,sK11(sK60,nil)),sK11(sK60,nil)) = sK60,
inference(global_subsumption_just,[status(thm)],[c_207156,c_69691]) ).
tcf(c_225228,plain,
! [X0: $i] :
( segmentP(app(sK60,X0),sK11(sK60,nil))
| ~ ssList(X0)
| ~ ssList(sK11(sK60,nil))
| ~ ssList(sK12(sK60,sK11(sK60,nil)))
| ~ ssList(app(app(sK12(sK60,sK11(sK60,nil)),sK11(sK60,nil)),X0)) ),
inference(superposition,[status(thm)],[c_225226,c_67]) ).
tcf(c_225231,plain,
! [X0: $i] :
( memberP(sK11(sK60,nil),X0)
| memberP(sK12(sK60,sK11(sK60,nil)),X0)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(sK11(sK60,nil))
| ~ ssList(sK12(sK60,sK11(sK60,nil))) ),
inference(superposition,[status(thm)],[c_225226,c_167]) ).
tcf(c_225232,plain,
( ( sK12(sK60,sK11(sK60,nil)) = nil )
| ~ ssList(sK11(sK60,nil))
| ~ ssList(sK12(sK60,sK11(sK60,nil)))
| ( nil != sK60 ) ),
inference(superposition,[status(thm)],[c_225226,c_231]) ).
tcf(c_225233,plain,
( ( sK11(sK60,nil) = nil )
| ~ ssList(sK11(sK60,nil))
| ~ ssList(sK12(sK60,sK11(sK60,nil)))
| ( nil != sK60 ) ),
inference(superposition,[status(thm)],[c_225226,c_230]) ).
tcf(c_225234,plain,
( frontsegP(sK60,sK12(sK60,sK11(sK60,nil)))
| ~ ssList(sK11(sK60,nil))
| ~ ssList(sK12(sK60,sK11(sK60,nil))) ),
inference(superposition,[status(thm)],[c_225226,c_378]) ).
tcf(c_225237,plain,
! [X0: $i] :
( ( sK12(sK60,sK11(sK60,nil)) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK60,nil))
| ~ ssList(sK12(sK60,sK11(sK60,nil)))
| ( app(X0,sK11(sK60,nil)) != sK60 ) ),
inference(superposition,[status(thm)],[c_225226,c_225]) ).
tcf(c_225238,plain,
! [X0: $i] :
( ( sK11(sK60,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK60,nil))
| ~ ssList(sK12(sK60,sK11(sK60,nil)))
| ( app(sK12(sK60,sK11(sK60,nil)),X0) != sK60 ) ),
inference(superposition,[status(thm)],[c_225226,c_226]) ).
tcf(c_225239,plain,
! [X0: $i] :
( frontsegP(sK60,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK60,nil))
| ~ ssList(sK12(sK60,sK11(sK60,nil)))
| ~ frontsegP(sK12(sK60,sK11(sK60,nil)),X0) ),
inference(superposition,[status(thm)],[c_225226,c_176]) ).
tcf(c_225240,plain,
! [X0: $i] :
( memberP(sK60,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK60,nil))
| ~ ssList(sK12(sK60,sK11(sK60,nil)))
| ~ memberP(sK12(sK60,sK11(sK60,nil)),X0) ),
inference(superposition,[status(thm)],[c_225226,c_165]) ).
tcf(c_225290,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK59),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_173273,c_207219]) ).
tcf(c_225291,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK59,sK60)),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_198076,c_207219]) ).
tcf(c_225292,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_201438,c_207219]) ).
tcf(c_225293,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_204202,c_207219]) ).
tcf(c_225294,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_207219,c_70]) ).
tcf(c_225295,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_207219,c_190]) ).
tcf(c_225296,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_207219,c_191]) ).
tcf(c_225297,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225290,c_141]) ).
tcf(c_225301,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225293,c_12924]) ).
tcf(c_225305,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225292,c_12926]) ).
tcf(c_225309,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK59,sK60)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225291,c_12927]) ).
tcf(c_225337,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ( app(sK60,iPr_def_11) = nil )
| ( app(sK60,iPr_def_11) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK60,iPr_def_11))
| ( hd(X0) != hd(sK60) )
| ( tl(app(sK60,iPr_def_11)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_181565,c_223]) ).
tcf(c_225338,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK60,iPr_def_11)))
| ( nil = sK60 )
| ( app(sK60,iPr_def_11) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sK60,iPr_def_11))
| ~ ssList(app(sK60,iPr_def_11))
| ~ lt(X0,hd(sK60)) ),
inference(superposition,[status(thm)],[c_181565,c_212]) ).
tcf(c_225339,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK60,iPr_def_11)))
| ( nil = sK60 )
| ( app(sK60,iPr_def_11) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sK60,iPr_def_11))
| ~ ssList(app(sK60,iPr_def_11))
| ~ leq(X0,hd(sK60)) ),
inference(superposition,[status(thm)],[c_181565,c_206]) ).
tcf(c_225417,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_222380,c_173]) ).
tcf(c_225418,plain,
( ( tl(iPr_def_12) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),iPr_def_10) ),
inference(superposition,[status(thm)],[c_222380,c_174]) ).
tcf(c_225419,plain,
( ( app(tl(iPr_def_12),sK11(iPr_def_10,tl(iPr_def_12))) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_222380,c_63]) ).
tcf(c_225420,plain,
( ( app(tl(iPr_def_12),sK11(iPr_def_10,tl(iPr_def_12))) = iPr_def_10 )
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225419,c_173031,c_184135]) ).
tcf(c_225423,plain,
( ( tl(iPr_def_12) = iPr_def_10 )
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225418,c_173031,c_184135]) ).
tcf(c_225427,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225417,c_173031,c_184135]) ).
tcf(c_225480,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_225301,c_70]) ).
tcf(c_225481,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_225301,c_190]) ).
tcf(c_225482,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_225301,c_191]) ).
tcf(c_225483,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_225481,c_205349]) ).
tcf(c_225489,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_225482,c_205349]) ).
tcf(c_225494,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_225480,c_205349]) ).
tcf(c_225504,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_225305,c_70]) ).
tcf(c_225505,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_225305,c_190]) ).
tcf(c_225506,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_225305,c_191]) ).
tcf(c_225507,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_225505,c_202549]) ).
tcf(c_225513,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_225506,c_202549]) ).
tcf(c_225518,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_225504,c_202549]) ).
tcf(c_225528,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK57,app(sK59,sK60)),X0),X0),sK14(cons(sK57,app(sK59,sK60)),X0)) = cons(sK57,app(sK59,sK60)) )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK57,app(sK59,sK60))) ),
inference(superposition,[status(thm)],[c_225309,c_70]) ).
tcf(c_225529,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK57,app(sK59,sK60)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,X1)
| ~ ssList(cons(sK57,app(sK59,sK60))) ),
inference(superposition,[status(thm)],[c_225309,c_190]) ).
tcf(c_225530,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK60)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK57,app(sK59,sK60)))
| ~ segmentP(X0,cons(sK57,app(sK59,sK60))) ),
inference(superposition,[status(thm)],[c_225309,c_191]) ).
tcf(c_225531,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK57,app(sK59,sK60)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225529,c_198773]) ).
tcf(c_225537,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK60)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,cons(sK57,app(sK59,sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225530,c_198773]) ).
tcf(c_225542,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK57,app(sK59,sK60)),X0),X0),sK14(cons(sK57,app(sK59,sK60)),X0)) = cons(sK57,app(sK59,sK60)) )
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225528,c_198773]) ).
tcf(c_225552,plain,
( segmentP(cons(sK57,sK59),sK59)
| ~ ssList(nil)
| ~ ssList(app(cons(sK57,sK59),nil)) ),
inference(superposition,[status(thm)],[c_173273,c_207225]) ).
tcf(c_225553,plain,
( segmentP(cons(sK57,app(sK59,sK60)),sK59)
| ~ ssList(sK60)
| ~ ssList(app(cons(sK57,sK59),sK60)) ),
inference(superposition,[status(thm)],[c_198076,c_207225]) ).
tcf(c_225554,plain,
( segmentP(cons(sK57,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(app(cons(sK57,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_201438,c_207225]) ).
tcf(c_225555,plain,
( segmentP(cons(sK57,app(sK59,sK56)),sK59)
| ~ ssList(sK56)
| ~ ssList(app(cons(sK57,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_204202,c_207225]) ).
tcf(c_225556,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_207225,c_70]) ).
tcf(c_225557,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_207225,c_190]) ).
tcf(c_225558,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_207225,c_191]) ).
tcf(c_225559,plain,
( segmentP(cons(sK57,sK59),sK59)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(light_normalisation,[status(thm)],[c_225552,c_173273]) ).
tcf(c_225560,plain,
segmentP(cons(sK57,sK59),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_225559,c_141,c_207179]) ).
tcf(c_225561,plain,
( segmentP(cons(sK57,app(sK59,sK56)),sK59)
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK59,sK56))) ),
inference(light_normalisation,[status(thm)],[c_225555,c_204202]) ).
tcf(c_225562,plain,
segmentP(cons(sK57,app(sK59,sK56)),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_225561,c_12924,c_205349]) ).
tcf(c_225563,plain,
( segmentP(cons(sK57,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK59,sK59))) ),
inference(light_normalisation,[status(thm)],[c_225554,c_201438]) ).
tcf(c_225564,plain,
segmentP(cons(sK57,app(sK59,sK59)),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_225563,c_12926,c_202549]) ).
tcf(c_225565,plain,
( segmentP(cons(sK57,app(sK59,sK60)),sK59)
| ~ ssList(sK60)
| ~ ssList(cons(sK57,app(sK59,sK60))) ),
inference(light_normalisation,[status(thm)],[c_225553,c_198076]) ).
tcf(c_225566,plain,
segmentP(cons(sK57,app(sK59,sK60)),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_225565,c_12927,c_198773]) ).
tcf(c_225567,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_225557,c_12926]) ).
tcf(c_225573,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_225558,c_12926]) ).
tcf(c_225578,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_225556,c_12926]) ).
tcf(c_225582,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_225562,c_70]) ).
tcf(c_225583,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_225562,c_190]) ).
tcf(c_225584,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_225562,c_191]) ).
tcf(c_225586,plain,
( ( cons(sK57,app(sK59,sK56)) = sK59 )
| ~ segmentP(sK59,cons(sK57,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225584,c_12926,c_205349]) ).
tcf(c_225589,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_225582,c_12926,c_205349]) ).
tcf(c_225590,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_225564,c_70]) ).
tcf(c_225591,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_225564,c_190]) ).
tcf(c_225592,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_225564,c_191]) ).
tcf(c_225594,plain,
( ( cons(sK57,app(sK59,sK59)) = sK59 )
| ~ segmentP(sK59,cons(sK57,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225592,c_12926,c_202549]) ).
tcf(c_225597,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_225590,c_12926,c_202549]) ).
tcf(c_225598,plain,
( ( app(app(sK13(cons(sK57,app(sK59,sK60)),sK59),sK59),sK14(cons(sK57,app(sK59,sK60)),sK59)) = cons(sK57,app(sK59,sK60)) )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK59,sK60))) ),
inference(superposition,[status(thm)],[c_225566,c_70]) ).
tcf(c_225599,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK59,sK60)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK57,app(sK59,sK60))) ),
inference(superposition,[status(thm)],[c_225566,c_190]) ).
tcf(c_225600,plain,
( ( cons(sK57,app(sK59,sK60)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK59,sK60)))
| ~ segmentP(sK59,cons(sK57,app(sK59,sK60))) ),
inference(superposition,[status(thm)],[c_225566,c_191]) ).
tcf(c_225602,plain,
( ( cons(sK57,app(sK59,sK60)) = sK59 )
| ~ segmentP(sK59,cons(sK57,app(sK59,sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225600,c_12926,c_198773]) ).
tcf(c_225605,plain,
app(app(sK13(cons(sK57,app(sK59,sK60)),sK59),sK59),sK14(cons(sK57,app(sK59,sK60)),sK59)) = cons(sK57,app(sK59,sK60)),
inference(forward_subsumption_resolution,[status(thm)],[c_225598,c_12926,c_198773]) ).
tcf(c_225646,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ( app(sK60,iPr_def_12) = nil )
| ( app(sK60,iPr_def_12) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK60,iPr_def_12))
| ( hd(X0) != hd(sK60) )
| ( tl(app(sK60,iPr_def_12)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_181566,c_223]) ).
tcf(c_225647,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK60,iPr_def_12)))
| ( nil = sK60 )
| ( app(sK60,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sK60,iPr_def_12))
| ~ ssList(app(sK60,iPr_def_12))
| ~ lt(X0,hd(sK60)) ),
inference(superposition,[status(thm)],[c_181566,c_212]) ).
tcf(c_225648,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK60,iPr_def_12)))
| ( nil = sK60 )
| ( app(sK60,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sK60,iPr_def_12))
| ~ ssList(app(sK60,iPr_def_12))
| ~ leq(X0,hd(sK60)) ),
inference(superposition,[status(thm)],[c_181566,c_206]) ).
tcf(c_225723,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_225560,c_70]) ).
tcf(c_225724,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK59),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_225560,c_190]) ).
tcf(c_225725,plain,
( ( cons(sK57,sK59) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59))
| ~ segmentP(sK59,cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_225560,c_191]) ).
tcf(c_225726,plain,
~ segmentP(sK59,cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_225725,c_207182,c_12926,c_207179]) ).
tcf(c_225728,plain,
app(app(sK13(cons(sK57,sK59),sK59),sK59),sK14(cons(sK57,sK59),sK59)) = cons(sK57,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_225723,c_12926,c_207179]) ).
tcf(c_225737,plain,
~ segmentP(sK59,cons(sK57,app(sK59,sK59))),
inference(global_subsumption_just,[status(thm)],[c_225594,c_60867]) ).
tcf(c_225751,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK56),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_173274,c_207829]) ).
tcf(c_225752,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK56,sK60)),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_198077,c_207829]) ).
tcf(c_225753,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_201439,c_207829]) ).
tcf(c_225754,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_204203,c_207829]) ).
tcf(c_225755,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_207829,c_70]) ).
tcf(c_225756,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_207829,c_190]) ).
tcf(c_225757,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_207829,c_191]) ).
tcf(c_225758,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225751,c_141]) ).
tcf(c_225762,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225754,c_12924]) ).
tcf(c_225766,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225753,c_12926]) ).
tcf(c_225770,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK56,sK60)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225752,c_12927]) ).
tcf(c_225798,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_225762,c_70]) ).
tcf(c_225799,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_225762,c_190]) ).
tcf(c_225800,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_225762,c_191]) ).
tcf(c_225801,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_225799,c_205833]) ).
tcf(c_225807,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_225800,c_205833]) ).
tcf(c_225812,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_225798,c_205833]) ).
tcf(c_225822,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_225766,c_70]) ).
tcf(c_225823,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_225766,c_190]) ).
tcf(c_225824,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_225766,c_191]) ).
tcf(c_225825,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_225823,c_202943]) ).
tcf(c_225831,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_225824,c_202943]) ).
tcf(c_225836,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_225822,c_202943]) ).
tcf(c_225846,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK57,app(sK56,sK60)),X0),X0),sK14(cons(sK57,app(sK56,sK60)),X0)) = cons(sK57,app(sK56,sK60)) )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(cons(sK57,app(sK56,sK60))) ),
inference(superposition,[status(thm)],[c_225770,c_70]) ).
tcf(c_225847,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK57,app(sK56,sK60)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ segmentP(X0,X1)
| ~ ssList(cons(sK57,app(sK56,sK60))) ),
inference(superposition,[status(thm)],[c_225770,c_190]) ).
tcf(c_225848,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK60)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(cons(sK57,app(sK56,sK60)))
| ~ segmentP(X0,cons(sK57,app(sK56,sK60))) ),
inference(superposition,[status(thm)],[c_225770,c_191]) ).
tcf(c_225849,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK57,app(sK56,sK60)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ segmentP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225847,c_199547]) ).
tcf(c_225855,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK60)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ segmentP(X0,cons(sK57,app(sK56,sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225848,c_199547]) ).
tcf(c_225860,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK57,app(sK56,sK60)),X0),X0),sK14(cons(sK57,app(sK56,sK60)),X0)) = cons(sK57,app(sK56,sK60)) )
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225846,c_199547]) ).
tcf(c_225892,plain,
( segmentP(cons(sK57,sK56),sK56)
| ~ ssList(nil)
| ~ ssList(app(cons(sK57,sK56),nil)) ),
inference(superposition,[status(thm)],[c_173274,c_207835]) ).
tcf(c_225893,plain,
( segmentP(cons(sK57,app(sK56,sK60)),sK56)
| ~ ssList(sK60)
| ~ ssList(app(cons(sK57,sK56),sK60)) ),
inference(superposition,[status(thm)],[c_198077,c_207835]) ).
tcf(c_225894,plain,
( segmentP(cons(sK57,app(sK56,sK59)),sK56)
| ~ ssList(sK59)
| ~ ssList(app(cons(sK57,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_201439,c_207835]) ).
tcf(c_225895,plain,
( segmentP(cons(sK57,app(sK56,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(app(cons(sK57,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_204203,c_207835]) ).
tcf(c_225896,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_207835,c_70]) ).
tcf(c_225897,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_207835,c_190]) ).
tcf(c_225898,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_207835,c_191]) ).
tcf(c_225899,plain,
( segmentP(cons(sK57,sK56),sK56)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(light_normalisation,[status(thm)],[c_225892,c_173274]) ).
tcf(c_225900,plain,
segmentP(cons(sK57,sK56),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_225899,c_141,c_207789]) ).
tcf(c_225901,plain,
( segmentP(cons(sK57,app(sK56,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK56,sK56))) ),
inference(light_normalisation,[status(thm)],[c_225895,c_204203]) ).
tcf(c_225902,plain,
segmentP(cons(sK57,app(sK56,sK56)),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_225901,c_12924,c_205833]) ).
tcf(c_225903,plain,
( segmentP(cons(sK57,app(sK56,sK59)),sK56)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK56,sK59))) ),
inference(light_normalisation,[status(thm)],[c_225894,c_201439]) ).
tcf(c_225904,plain,
segmentP(cons(sK57,app(sK56,sK59)),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_225903,c_12926,c_202943]) ).
tcf(c_225905,plain,
( segmentP(cons(sK57,app(sK56,sK60)),sK56)
| ~ ssList(sK60)
| ~ ssList(cons(sK57,app(sK56,sK60))) ),
inference(light_normalisation,[status(thm)],[c_225893,c_198077]) ).
tcf(c_225906,plain,
segmentP(cons(sK57,app(sK56,sK60)),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_225905,c_12927,c_199547]) ).
tcf(c_225907,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_225897,c_12924]) ).
tcf(c_225913,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_225898,c_12924]) ).
tcf(c_225918,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_225896,c_12924]) ).
tcf(c_225984,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_225902,c_70]) ).
tcf(c_225985,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_225902,c_190]) ).
tcf(c_225986,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_225902,c_191]) ).
tcf(c_225988,plain,
( ( cons(sK57,app(sK56,sK56)) = sK56 )
| ~ segmentP(sK56,cons(sK57,app(sK56,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225986,c_12924,c_205833]) ).
tcf(c_225991,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_225984,c_12924,c_205833]) ).
tcf(c_225998,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ( app(sK60,iPr_def_10) = nil )
| ( app(sK60,iPr_def_10) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK60,iPr_def_10))
| ( hd(X0) != hd(sK60) )
| ( tl(app(sK60,iPr_def_10)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_181567,c_223]) ).
tcf(c_225999,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK60,iPr_def_10)))
| ( nil = sK60 )
| ( app(sK60,iPr_def_10) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sK60,iPr_def_10))
| ~ ssList(app(sK60,iPr_def_10))
| ~ lt(X0,hd(sK60)) ),
inference(superposition,[status(thm)],[c_181567,c_212]) ).
tcf(c_226000,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK60,iPr_def_10)))
| ( nil = sK60 )
| ( app(sK60,iPr_def_10) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sK60,iPr_def_10))
| ~ ssList(app(sK60,iPr_def_10))
| ~ leq(X0,hd(sK60)) ),
inference(superposition,[status(thm)],[c_181567,c_206]) ).
tcf(c_226110,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_225900,c_70]) ).
tcf(c_226111,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK56),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_225900,c_190]) ).
tcf(c_226112,plain,
( ( cons(sK57,sK56) = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56))
| ~ segmentP(sK56,cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_225900,c_191]) ).
tcf(c_226113,plain,
~ segmentP(sK56,cons(sK57,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_226112,c_207792,c_12924,c_207789]) ).
tcf(c_226115,plain,
app(app(sK13(cons(sK57,sK56),sK56),sK56),sK14(cons(sK57,sK56),sK56)) = cons(sK57,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_226110,c_12924,c_207789]) ).
tcf(c_226122,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_225904,c_70]) ).
tcf(c_226123,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_225904,c_190]) ).
tcf(c_226124,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_225904,c_191]) ).
tcf(c_226126,plain,
( ( cons(sK57,app(sK56,sK59)) = sK56 )
| ~ segmentP(sK56,cons(sK57,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226124,c_12924,c_202943]) ).
tcf(c_226129,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_226122,c_12924,c_202943]) ).
tcf(c_226130,plain,
( ( app(app(sK13(cons(sK57,app(sK56,sK60)),sK56),sK56),sK14(cons(sK57,app(sK56,sK60)),sK56)) = cons(sK57,app(sK56,sK60)) )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK56,sK60))) ),
inference(superposition,[status(thm)],[c_225906,c_70]) ).
tcf(c_226131,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK56,sK60)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(cons(sK57,app(sK56,sK60))) ),
inference(superposition,[status(thm)],[c_225906,c_190]) ).
tcf(c_226132,plain,
( ( cons(sK57,app(sK56,sK60)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK56,sK60)))
| ~ segmentP(sK56,cons(sK57,app(sK56,sK60))) ),
inference(superposition,[status(thm)],[c_225906,c_191]) ).
tcf(c_226134,plain,
( ( cons(sK57,app(sK56,sK60)) = sK56 )
| ~ segmentP(sK56,cons(sK57,app(sK56,sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226132,c_12924,c_199547]) ).
tcf(c_226137,plain,
app(app(sK13(cons(sK57,app(sK56,sK60)),sK56),sK56),sK14(cons(sK57,app(sK56,sK60)),sK56)) = cons(sK57,app(sK56,sK60)),
inference(forward_subsumption_resolution,[status(thm)],[c_226130,c_12924,c_199547]) ).
tcf(c_226162,plain,
~ segmentP(sK56,cons(sK57,app(sK56,sK56))),
inference(global_subsumption_just,[status(thm)],[c_225988,c_66844]) ).
tcf(c_226172,plain,
app(sK12(sK56,nil),sK11(sK56,sK12(sK56,nil))) = sK56,
inference(global_subsumption_just,[status(thm)],[c_208495,c_69755]) ).
tcf(c_226174,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_226172,c_67]) ).
tcf(c_226177,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_226172,c_167]) ).
tcf(c_226178,plain,
( ( sK12(sK56,nil) = nil )
| ~ ssList(sK12(sK56,nil))
| ~ ssList(sK11(sK56,sK12(sK56,nil)))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_226172,c_231]) ).
tcf(c_226179,plain,
( ( sK11(sK56,sK12(sK56,nil)) = nil )
| ~ ssList(sK12(sK56,nil))
| ~ ssList(sK11(sK56,sK12(sK56,nil)))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_226172,c_230]) ).
tcf(c_226181,plain,
( rearsegP(sK56,sK11(sK56,sK12(sK56,nil)))
| ~ ssList(sK12(sK56,nil))
| ~ ssList(sK11(sK56,sK12(sK56,nil))) ),
inference(superposition,[status(thm)],[c_226172,c_375]) ).
tcf(c_226183,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_226172,c_225]) ).
tcf(c_226184,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_226172,c_226]) ).
tcf(c_226187,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_226172,c_193]) ).
tcf(c_226188,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_226172,c_186]) ).
tcf(c_226189,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_226172,c_166]) ).
tcf(c_226233,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_226174,c_226172]) ).
tcf(c_226277,plain,
app(sK12(sK59,nil),sK11(sK59,sK12(sK59,nil))) = sK59,
inference(global_subsumption_just,[status(thm)],[c_208510,c_70304]) ).
tcf(c_226279,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_226277,c_67]) ).
tcf(c_226282,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_226277,c_167]) ).
tcf(c_226283,plain,
( ( sK12(sK59,nil) = nil )
| ~ ssList(sK12(sK59,nil))
| ~ ssList(sK11(sK59,sK12(sK59,nil)))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_226277,c_231]) ).
tcf(c_226284,plain,
( ( sK11(sK59,sK12(sK59,nil)) = nil )
| ~ ssList(sK12(sK59,nil))
| ~ ssList(sK11(sK59,sK12(sK59,nil)))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_226277,c_230]) ).
tcf(c_226286,plain,
( rearsegP(sK59,sK11(sK59,sK12(sK59,nil)))
| ~ ssList(sK12(sK59,nil))
| ~ ssList(sK11(sK59,sK12(sK59,nil))) ),
inference(superposition,[status(thm)],[c_226277,c_375]) ).
tcf(c_226288,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_226277,c_225]) ).
tcf(c_226289,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_226277,c_226]) ).
tcf(c_226292,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_226277,c_193]) ).
tcf(c_226293,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_226277,c_186]) ).
tcf(c_226294,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_226277,c_166]) ).
tcf(c_226338,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_226279,c_226277]) ).
tcf(c_226344,plain,
app(sK12(sK60,nil),sK11(sK60,sK12(sK60,nil))) = sK60,
inference(global_subsumption_just,[status(thm)],[c_208522,c_70740]) ).
tcf(c_226346,plain,
! [X0: $i] :
( segmentP(app(sK60,X0),sK11(sK60,sK12(sK60,nil)))
| ~ ssList(X0)
| ~ ssList(sK12(sK60,nil))
| ~ ssList(sK11(sK60,sK12(sK60,nil)))
| ~ ssList(app(app(sK12(sK60,nil),sK11(sK60,sK12(sK60,nil))),X0)) ),
inference(superposition,[status(thm)],[c_226344,c_67]) ).
tcf(c_226349,plain,
! [X0: $i] :
( memberP(sK12(sK60,nil),X0)
| memberP(sK11(sK60,sK12(sK60,nil)),X0)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(sK12(sK60,nil))
| ~ ssList(sK11(sK60,sK12(sK60,nil))) ),
inference(superposition,[status(thm)],[c_226344,c_167]) ).
tcf(c_226350,plain,
( ( sK12(sK60,nil) = nil )
| ~ ssList(sK12(sK60,nil))
| ~ ssList(sK11(sK60,sK12(sK60,nil)))
| ( nil != sK60 ) ),
inference(superposition,[status(thm)],[c_226344,c_231]) ).
tcf(c_226351,plain,
( ( sK11(sK60,sK12(sK60,nil)) = nil )
| ~ ssList(sK12(sK60,nil))
| ~ ssList(sK11(sK60,sK12(sK60,nil)))
| ( nil != sK60 ) ),
inference(superposition,[status(thm)],[c_226344,c_230]) ).
tcf(c_226353,plain,
( rearsegP(sK60,sK11(sK60,sK12(sK60,nil)))
| ~ ssList(sK12(sK60,nil))
| ~ ssList(sK11(sK60,sK12(sK60,nil))) ),
inference(superposition,[status(thm)],[c_226344,c_375]) ).
tcf(c_226355,plain,
! [X0: $i] :
( ( sK12(sK60,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK60,nil))
| ~ ssList(sK11(sK60,sK12(sK60,nil)))
| ( app(X0,sK11(sK60,sK12(sK60,nil))) != sK60 ) ),
inference(superposition,[status(thm)],[c_226344,c_225]) ).
tcf(c_226356,plain,
! [X0: $i] :
( ( sK11(sK60,sK12(sK60,nil)) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK60,nil))
| ~ ssList(sK11(sK60,sK12(sK60,nil)))
| ( app(sK12(sK60,nil),X0) != sK60 ) ),
inference(superposition,[status(thm)],[c_226344,c_226]) ).
tcf(c_226359,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK60,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK12(sK60,nil))
| ~ ssList(sK11(sK60,sK12(sK60,nil)))
| ~ segmentP(sK11(sK60,sK12(sK60,nil)),X0) ),
inference(superposition,[status(thm)],[c_226344,c_193]) ).
tcf(c_226360,plain,
! [X0: $i] :
( rearsegP(sK60,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK60,nil))
| ~ ssList(sK11(sK60,sK12(sK60,nil)))
| ~ rearsegP(sK11(sK60,sK12(sK60,nil)),X0) ),
inference(superposition,[status(thm)],[c_226344,c_186]) ).
tcf(c_226361,plain,
! [X0: $i] :
( memberP(sK60,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK60,nil))
| ~ ssList(sK11(sK60,sK12(sK60,nil)))
| ~ memberP(sK11(sK60,sK12(sK60,nil)),X0) ),
inference(superposition,[status(thm)],[c_226344,c_166]) ).
tcf(c_226405,plain,
! [X0: $i] :
( segmentP(app(sK60,X0),sK11(sK60,sK12(sK60,nil)))
| ~ ssList(X0)
| ~ ssList(sK12(sK60,nil))
| ~ ssList(app(sK60,X0))
| ~ ssList(sK11(sK60,sK12(sK60,nil))) ),
inference(light_normalisation,[status(thm)],[c_226346,c_226344]) ).
tcf(c_226435,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ( app(sK60,tl(sK60)) = nil )
| ( app(sK60,tl(sK60)) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK60,tl(sK60)))
| ( hd(X0) != hd(sK60) )
| ( tl(app(sK60,tl(sK60))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_181568,c_223]) ).
tcf(c_226436,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK60,tl(sK60))))
| ( nil = sK60 )
| ( app(sK60,tl(sK60)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,hd(sK60))
| ~ strictorderedP(app(sK60,tl(sK60)))
| ~ ssList(app(sK60,tl(sK60))) ),
inference(superposition,[status(thm)],[c_181568,c_212]) ).
tcf(c_226437,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK60,tl(sK60))))
| ( nil = sK60 )
| ( app(sK60,tl(sK60)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,hd(sK60))
| ~ totalorderedP(app(sK60,tl(sK60)))
| ~ ssList(app(sK60,tl(sK60))) ),
inference(superposition,[status(thm)],[c_181568,c_206]) ).
tcf(c_226551,plain,
( segmentP(sK59,nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_192,c_194723]) ).
tcf(c_226554,plain,
segmentP(sK59,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_226551,c_141]) ).
tcf(c_226555,plain,
( ( app(app(sK13(sK59,nil),nil),sK14(sK59,nil)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_226554,c_70]) ).
tcf(c_226556,plain,
! [X0: $i] :
( segmentP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_226554,c_190]) ).
tcf(c_226557,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ segmentP(nil,sK59) ),
inference(superposition,[status(thm)],[c_226554,c_191]) ).
tcf(c_226561,plain,
( ( nil = sK59 )
| ~ segmentP(nil,sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226557,c_12926,c_141]) ).
tcf(c_226565,plain,
app(app(sK13(sK59,nil),nil),sK14(sK59,nil)) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_226555,c_12926,c_141]) ).
tcf(c_226570,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_226565,c_67]) ).
tcf(c_226573,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_226565,c_167]) ).
tcf(c_226574,plain,
( ( app(sK13(sK59,nil),nil) = nil )
| ~ ssList(sK14(sK59,nil))
| ~ ssList(app(sK13(sK59,nil),nil))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_226565,c_231]) ).
tcf(c_226575,plain,
( ( sK14(sK59,nil) = nil )
| ~ ssList(sK14(sK59,nil))
| ~ ssList(app(sK13(sK59,nil),nil))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_226565,c_230]) ).
tcf(c_226576,plain,
( frontsegP(sK59,app(sK13(sK59,nil),nil))
| ~ ssList(sK14(sK59,nil))
| ~ ssList(app(sK13(sK59,nil),nil)) ),
inference(superposition,[status(thm)],[c_226565,c_378]) ).
tcf(c_226577,plain,
( rearsegP(sK59,sK14(sK59,nil))
| ~ ssList(sK14(sK59,nil))
| ~ ssList(app(sK13(sK59,nil),nil)) ),
inference(superposition,[status(thm)],[c_226565,c_375]) ).
tcf(c_226579,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_226565,c_225]) ).
tcf(c_226581,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_226565,c_226]) ).
tcf(c_226582,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_226565,c_176]) ).
tcf(c_226583,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_226565,c_165]) ).
tcf(c_226584,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_226565,c_193]) ).
tcf(c_226585,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_226565,c_186]) ).
tcf(c_226586,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_226565,c_166]) ).
tcf(c_226587,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_226565,c_193]) ).
tcf(c_226645,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_226570,c_226565]) ).
tcf(c_226883,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK8(X0,X1),X2),sK60) = app(sK8(X0,X1),app(X2,sK60)) )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_183167]) ).
tcf(c_226884,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK9(X0,X1),X2),sK60) = app(sK9(X0,X1),app(X2,sK60)) )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_183167]) ).
tcf(c_226885,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(app(X0,X1),X2),sK60) = app(app(X0,X1),app(X2,sK60)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_183167]) ).
tcf(c_226886,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK11(X0,X1),X2),sK60) = app(sK11(X0,X1),app(X2,sK60)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_183167]) ).
tcf(c_226887,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK12(X0,X1),X2),sK60) = app(sK12(X0,X1),app(X2,sK60)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_183167]) ).
tcf(c_226888,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK13(X0,X1),X2),sK60) = app(sK13(X0,X1),app(X2,sK60)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_183167]) ).
tcf(c_226889,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK14(X0,X1),X2),sK60) = app(sK14(X0,X1),app(X2,sK60)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_183167]) ).
tcf(c_226899,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( app(app(sK34(X0),X1),sK60) = app(sK34(X0),app(X1,sK60)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_183167]) ).
tcf(c_226900,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( app(app(sK33(X0),X1),sK60) = app(sK33(X0),app(X1,sK60)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_183167]) ).
tcf(c_226901,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( app(app(sK32(X0),X1),sK60) = app(sK32(X0),app(X1,sK60)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_183167]) ).
tcf(c_226902,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( app(app(sK39(X0),X1),sK60) = app(sK39(X0),app(X1,sK60)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_183167]) ).
tcf(c_226903,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( app(app(sK38(X0),X1),sK60) = app(sK38(X0),app(X1,sK60)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_183167]) ).
tcf(c_226904,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( app(app(sK37(X0),X1),sK60) = app(sK37(X0),app(X1,sK60)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_183167]) ).
tcf(c_226905,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( app(app(sK44(X0),X1),sK60) = app(sK44(X0),app(X1,sK60)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_183167]) ).
tcf(c_226906,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( app(app(sK43(X0),X1),sK60) = app(sK43(X0),app(X1,sK60)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_183167]) ).
tcf(c_226907,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( app(app(sK42(X0),X1),sK60) = app(sK42(X0),app(X1,sK60)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_183167]) ).
tcf(c_226908,plain,
! [X0: $i,X1: $i] :
( equalelemsP(X0)
| ( app(app(sK48(X0),X1),sK60) = app(sK48(X0),app(X1,sK60)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_183167]) ).
tcf(c_226909,plain,
! [X0: $i,X1: $i] :
( equalelemsP(X0)
| ( app(app(sK47(X0),X1),sK60) = app(sK47(X0),app(X1,sK60)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_183167]) ).
tcf(c_226910,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(cons(X0,X1),X2),sK60) = app(cons(X0,X1),app(X2,sK60)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_183167]) ).
tcf(c_226911,plain,
! [X0: $i] :
( ( app(app(nil,X0),sK60) = app(nil,app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_141,c_183167]) ).
tcf(c_226912,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( app(app(sK49(X0),X1),sK60) = app(sK49(X0),app(X1,sK60)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_183167]) ).
tcf(c_226913,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( app(app(tl(X0),X1),sK60) = app(tl(X0),app(X1,sK60)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_183167]) ).
tcf(c_226914,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( app(app(sK52(X0),X1),sK60) = app(sK52(X0),app(X1,sK60)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_183167]) ).
tcf(c_226915,plain,
! [X0: $i] :
( ( app(app(sK60,X0),sK60) = app(sK60,app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12927,c_183167]) ).
tcf(c_226916,plain,
! [X0: $i] :
( ( app(app(sK59,X0),sK60) = app(sK59,app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12926,c_183167]) ).
tcf(c_226917,plain,
! [X0: $i] :
( ( app(app(sK56,X0),sK60) = app(sK56,app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12924,c_183167]) ).
tcf(c_226918,plain,
! [X0: $i] :
( ( app(app(iPr_def_13,X0),sK60) = app(iPr_def_13,app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_172540,c_183167]) ).
tcf(c_226919,plain,
! [X0: $i] :
( ( app(app(iPr_def_11,X0),sK60) = app(iPr_def_11,app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_173202,c_183167]) ).
tcf(c_226920,plain,
! [X0: $i] :
( ( app(app(iPr_def_12,X0),sK60) = app(iPr_def_12,app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_173203,c_183167]) ).
tcf(c_226921,plain,
! [X0: $i] :
( ( app(app(iPr_def_10,X0),sK60) = app(iPr_def_10,app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_173031,c_183167]) ).
tcf(c_226922,plain,
! [X0: $i] :
( ( app(app(cons(sK57,sK60),X0),sK60) = app(cons(sK57,sK60),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_199078,c_183167]) ).
tcf(c_226923,plain,
! [X0: $i] :
( ( app(app(cons(sK57,sK59),X0),sK60) = app(cons(sK57,sK59),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_207179,c_183167]) ).
tcf(c_226924,plain,
! [X0: $i] :
( ( app(app(cons(sK57,sK56),X0),sK60) = app(cons(sK57,sK56),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_207789,c_183167]) ).
tcf(c_226925,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( app(app(tl(sK60),X0),sK60) = app(tl(sK60),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175448,c_183167]) ).
tcf(c_226926,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( app(app(tl(sK59),X0),sK60) = app(tl(sK59),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175843,c_183167]) ).
tcf(c_226927,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( app(app(tl(sK56),X0),sK60) = app(tl(sK56),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175889,c_183167]) ).
tcf(c_226928,plain,
! [X0: $i] :
( ( app(app(tl(iPr_def_13),X0),sK60) = app(tl(iPr_def_13),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_182143,c_183167]) ).
tcf(c_226929,plain,
! [X0: $i] :
( ( app(app(tl(iPr_def_11),X0),sK60) = app(tl(iPr_def_11),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_182940,c_183167]) ).
tcf(c_226930,plain,
! [X0: $i] :
( ( app(app(tl(iPr_def_12),X0),sK60) = app(tl(iPr_def_12),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_184135,c_183167]) ).
tcf(c_226931,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK60,sK60)),X0),sK60) = app(cons(sK57,app(sK60,sK60)),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_198436,c_183167]) ).
tcf(c_226932,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK59,sK60)),X0),sK60) = app(cons(sK57,app(sK59,sK60)),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_198773,c_183167]) ).
tcf(c_226933,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK56,sK60)),X0),sK60) = app(cons(sK57,app(sK56,sK60)),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_199547,c_183167]) ).
tcf(c_226934,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK60,sK59)),X0),sK60) = app(cons(sK57,app(sK60,sK59)),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_201785,c_183167]) ).
tcf(c_226935,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK59,sK59)),X0),sK60) = app(cons(sK57,app(sK59,sK59)),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_202549,c_183167]) ).
tcf(c_226936,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK56,sK59)),X0),sK60) = app(cons(sK57,app(sK56,sK59)),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_202943,c_183167]) ).
tcf(c_226937,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK60,sK56)),X0),sK60) = app(cons(sK57,app(sK60,sK56)),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_204921,c_183167]) ).
tcf(c_226938,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK59,sK56)),X0),sK60) = app(cons(sK57,app(sK59,sK56)),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_205349,c_183167]) ).
tcf(c_226939,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK56,sK56)),X0),sK60) = app(cons(sK57,app(sK56,sK56)),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_205833,c_183167]) ).
tcf(c_227197,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK60,sK8(X0,X1)),sK60) = app(sK60,app(sK8(X0,X1),sK60)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_226915]) ).
tcf(c_227198,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK60,sK9(X0,X1)),sK60) = app(sK60,app(sK9(X0,X1),sK60)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_226915]) ).
tcf(c_227199,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK60,app(X0,X1)),sK60) = app(sK60,app(app(X0,X1),sK60)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_226915]) ).
tcf(c_227200,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK60,sK11(X0,X1)),sK60) = app(sK60,app(sK11(X0,X1),sK60)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_226915]) ).
tcf(c_227201,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK60,sK12(X0,X1)),sK60) = app(sK60,app(sK12(X0,X1),sK60)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_226915]) ).
tcf(c_227202,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK60,sK13(X0,X1)),sK60) = app(sK60,app(sK13(X0,X1),sK60)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_226915]) ).
tcf(c_227203,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK60,sK14(X0,X1)),sK60) = app(sK60,app(sK14(X0,X1),sK60)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_226915]) ).
tcf(c_227213,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK60,sK34(X0)),sK60) = app(sK60,app(sK34(X0),sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_226915]) ).
tcf(c_227214,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK60,sK33(X0)),sK60) = app(sK60,app(sK33(X0),sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_226915]) ).
tcf(c_227215,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK60,sK32(X0)),sK60) = app(sK60,app(sK32(X0),sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_226915]) ).
tcf(c_227216,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK60,sK39(X0)),sK60) = app(sK60,app(sK39(X0),sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_226915]) ).
tcf(c_227217,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK60,sK38(X0)),sK60) = app(sK60,app(sK38(X0),sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_226915]) ).
tcf(c_227218,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK60,sK37(X0)),sK60) = app(sK60,app(sK37(X0),sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_226915]) ).
tcf(c_227219,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK60,sK44(X0)),sK60) = app(sK60,app(sK44(X0),sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_226915]) ).
tcf(c_227220,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK60,sK43(X0)),sK60) = app(sK60,app(sK43(X0),sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_226915]) ).
tcf(c_227221,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK60,sK42(X0)),sK60) = app(sK60,app(sK42(X0),sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_226915]) ).
tcf(c_227222,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(app(sK60,sK48(X0)),sK60) = app(sK60,app(sK48(X0),sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_226915]) ).
tcf(c_227223,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(app(sK60,sK47(X0)),sK60) = app(sK60,app(sK47(X0),sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_226915]) ).
tcf(c_227224,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK60,cons(X0,X1)),sK60) = app(sK60,app(cons(X0,X1),sK60)) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_226915]) ).
tcf(c_227225,plain,
app(app(sK60,nil),sK60) = app(sK60,app(nil,sK60)),
inference(superposition,[status(thm)],[c_141,c_226915]) ).
tcf(c_227226,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK60,sK49(X0)),sK60) = app(sK60,app(sK49(X0),sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_226915]) ).
tcf(c_227227,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK60,tl(X0)),sK60) = app(sK60,app(tl(X0),sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_226915]) ).
tcf(c_227228,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK60,sK52(X0)),sK60) = app(sK60,app(sK52(X0),sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_226915]) ).
tcf(c_227229,plain,
app(app(sK60,sK60),sK60) = app(sK60,app(sK60,sK60)),
inference(superposition,[status(thm)],[c_12927,c_226915]) ).
tcf(c_227230,plain,
app(app(sK60,sK59),sK60) = app(sK60,app(sK59,sK60)),
inference(superposition,[status(thm)],[c_12926,c_226915]) ).
tcf(c_227231,plain,
app(app(sK60,sK56),sK60) = app(sK60,app(sK56,sK60)),
inference(superposition,[status(thm)],[c_12924,c_226915]) ).
tcf(c_227232,plain,
app(app(sK60,iPr_def_13),sK60) = app(sK60,app(iPr_def_13,sK60)),
inference(superposition,[status(thm)],[c_172540,c_226915]) ).
tcf(c_227233,plain,
app(app(sK60,iPr_def_11),sK60) = app(sK60,app(iPr_def_11,sK60)),
inference(superposition,[status(thm)],[c_173202,c_226915]) ).
tcf(c_227234,plain,
app(app(sK60,iPr_def_12),sK60) = app(sK60,app(iPr_def_12,sK60)),
inference(superposition,[status(thm)],[c_173203,c_226915]) ).
tcf(c_227235,plain,
app(app(sK60,iPr_def_10),sK60) = app(sK60,app(iPr_def_10,sK60)),
inference(superposition,[status(thm)],[c_173031,c_226915]) ).
tcf(c_227236,plain,
app(app(sK60,cons(sK57,sK60)),sK60) = app(sK60,app(cons(sK57,sK60),sK60)),
inference(superposition,[status(thm)],[c_199078,c_226915]) ).
tcf(c_227237,plain,
app(app(sK60,cons(sK57,sK59)),sK60) = app(sK60,app(cons(sK57,sK59),sK60)),
inference(superposition,[status(thm)],[c_207179,c_226915]) ).
tcf(c_227238,plain,
app(app(sK60,cons(sK57,sK56)),sK60) = app(sK60,app(cons(sK57,sK56),sK60)),
inference(superposition,[status(thm)],[c_207789,c_226915]) ).
tcf(c_227239,plain,
( ( nil = sK60 )
| ( app(app(sK60,tl(sK60)),sK60) = app(sK60,app(tl(sK60),sK60)) ) ),
inference(superposition,[status(thm)],[c_175448,c_226915]) ).
tcf(c_227240,plain,
( ( nil = sK59 )
| ( app(app(sK60,tl(sK59)),sK60) = app(sK60,app(tl(sK59),sK60)) ) ),
inference(superposition,[status(thm)],[c_175843,c_226915]) ).
tcf(c_227241,plain,
( ( nil = sK56 )
| ( app(app(sK60,tl(sK56)),sK60) = app(sK60,app(tl(sK56),sK60)) ) ),
inference(superposition,[status(thm)],[c_175889,c_226915]) ).
tcf(c_227242,plain,
app(app(sK60,tl(iPr_def_13)),sK60) = app(sK60,app(tl(iPr_def_13),sK60)),
inference(superposition,[status(thm)],[c_182143,c_226915]) ).
tcf(c_227243,plain,
app(app(sK60,tl(iPr_def_11)),sK60) = app(sK60,app(tl(iPr_def_11),sK60)),
inference(superposition,[status(thm)],[c_182940,c_226915]) ).
tcf(c_227244,plain,
app(app(sK60,tl(iPr_def_12)),sK60) = app(sK60,app(tl(iPr_def_12),sK60)),
inference(superposition,[status(thm)],[c_184135,c_226915]) ).
tcf(c_227245,plain,
app(app(sK60,cons(sK57,app(sK60,sK60))),sK60) = app(sK60,app(cons(sK57,app(sK60,sK60)),sK60)),
inference(superposition,[status(thm)],[c_198436,c_226915]) ).
tcf(c_227246,plain,
app(app(sK60,cons(sK57,app(sK59,sK60))),sK60) = app(sK60,app(cons(sK57,app(sK59,sK60)),sK60)),
inference(superposition,[status(thm)],[c_198773,c_226915]) ).
tcf(c_227247,plain,
app(app(sK60,cons(sK57,app(sK56,sK60))),sK60) = app(sK60,app(cons(sK57,app(sK56,sK60)),sK60)),
inference(superposition,[status(thm)],[c_199547,c_226915]) ).
tcf(c_227248,plain,
app(app(sK60,cons(sK57,app(sK60,sK59))),sK60) = app(sK60,app(cons(sK57,app(sK60,sK59)),sK60)),
inference(superposition,[status(thm)],[c_201785,c_226915]) ).
tcf(c_227249,plain,
app(app(sK60,cons(sK57,app(sK59,sK59))),sK60) = app(sK60,app(cons(sK57,app(sK59,sK59)),sK60)),
inference(superposition,[status(thm)],[c_202549,c_226915]) ).
tcf(c_227250,plain,
app(app(sK60,cons(sK57,app(sK56,sK59))),sK60) = app(sK60,app(cons(sK57,app(sK56,sK59)),sK60)),
inference(superposition,[status(thm)],[c_202943,c_226915]) ).
tcf(c_227251,plain,
app(app(sK60,cons(sK57,app(sK60,sK56))),sK60) = app(sK60,app(cons(sK57,app(sK60,sK56)),sK60)),
inference(superposition,[status(thm)],[c_204921,c_226915]) ).
tcf(c_227252,plain,
app(app(sK60,cons(sK57,app(sK59,sK56))),sK60) = app(sK60,app(cons(sK57,app(sK59,sK56)),sK60)),
inference(superposition,[status(thm)],[c_205349,c_226915]) ).
tcf(c_227253,plain,
app(app(sK60,cons(sK57,app(sK56,sK56))),sK60) = app(sK60,app(cons(sK57,app(sK56,sK56)),sK60)),
inference(superposition,[status(thm)],[c_205833,c_226915]) ).
tcf(c_227254,plain,
app(app(sK60,iPr_def_10),sK60) = app(sK60,cons(sK57,sK60)),
inference(light_normalisation,[status(thm)],[c_227235,c_198089]) ).
tcf(c_227255,plain,
app(app(sK60,iPr_def_12),sK60) = app(sK60,iPr_def_13),
inference(light_normalisation,[status(thm)],[c_227234,c_12920]) ).
tcf(c_227257,plain,
app(app(sK60,cons(sK57,sK56)),sK60) = app(sK60,cons(sK57,app(sK56,sK60))),
inference(light_normalisation,[status(thm)],[c_227238,c_198077]) ).
tcf(c_227258,plain,
app(app(sK60,cons(sK57,sK59)),sK60) = app(sK60,cons(sK57,app(sK59,sK60))),
inference(light_normalisation,[status(thm)],[c_227237,c_198076]) ).
tcf(c_227259,plain,
app(app(sK60,cons(sK57,sK60)),sK60) = app(sK60,cons(sK57,app(sK60,sK60))),
inference(light_normalisation,[status(thm)],[c_227236,c_198075]) ).
tcf(c_227631,plain,
! [X0: $i] :
( segmentP(app(app(sK60,app(sK60,sK60)),X0),sK60)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(app(sK60,sK60))
| ~ ssList(app(app(app(sK60,sK60),sK60),X0)) ),
inference(superposition,[status(thm)],[c_227229,c_67]) ).
tcf(c_227634,plain,
! [X0: $i] :
( memberP(sK60,X0)
| memberP(app(sK60,sK60),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ ssList(app(sK60,sK60))
| ~ memberP(app(sK60,app(sK60,sK60)),X0) ),
inference(superposition,[status(thm)],[c_227229,c_167]) ).
tcf(c_227635,plain,
( ( app(sK60,sK60) = nil )
| ~ ssList(sK60)
| ~ ssList(app(sK60,sK60))
| ( app(sK60,app(sK60,sK60)) != nil ) ),
inference(superposition,[status(thm)],[c_227229,c_231]) ).
tcf(c_227636,plain,
( ( nil = sK60 )
| ~ ssList(sK60)
| ~ ssList(app(sK60,sK60))
| ( app(sK60,app(sK60,sK60)) != nil ) ),
inference(superposition,[status(thm)],[c_227229,c_230]) ).
tcf(c_227637,plain,
( frontsegP(app(sK60,app(sK60,sK60)),app(sK60,sK60))
| ~ ssList(sK60)
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227229,c_378]) ).
tcf(c_227638,plain,
( rearsegP(app(sK60,app(sK60,sK60)),sK60)
| ~ ssList(sK60)
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227229,c_375]) ).
tcf(c_227639,plain,
( ssList(app(sK60,app(sK60,sK60)))
| ~ ssList(sK60)
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227229,c_153]) ).
tcf(c_227640,plain,
! [X0: $i] :
( ( app(sK60,sK60) = X0 )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(app(sK60,sK60))
| ( app(sK60,app(sK60,sK60)) != app(X0,sK60) ) ),
inference(superposition,[status(thm)],[c_227229,c_225]) ).
tcf(c_227641,plain,
( segmentP(app(sK60,app(sK60,sK60)),sK60)
| ~ ssList(sK60)
| ~ ssList(app(app(sK60,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_227229,c_67]) ).
tcf(c_227642,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(app(sK60,sK60))
| ( app(app(sK60,sK60),X0) != app(sK60,app(sK60,sK60)) ) ),
inference(superposition,[status(thm)],[c_227229,c_226]) ).
tcf(c_227643,plain,
! [X0: $i] :
( frontsegP(app(sK60,app(sK60,sK60)),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(app(sK60,sK60))
| ~ frontsegP(app(sK60,sK60),X0) ),
inference(superposition,[status(thm)],[c_227229,c_176]) ).
tcf(c_227644,plain,
! [X0: $i] :
( memberP(app(sK60,app(sK60,sK60)),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ ssList(app(sK60,sK60))
| ~ memberP(app(sK60,sK60),X0) ),
inference(superposition,[status(thm)],[c_227229,c_165]) ).
tcf(c_227645,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK60,app(sK60,sK60)),X1),X0)
| ~ ssList(sK60)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227229,c_193]) ).
tcf(c_227646,plain,
! [X0: $i] :
( rearsegP(app(sK60,app(sK60,sK60)),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227229,c_186]) ).
tcf(c_227647,plain,
! [X0: $i] :
( memberP(app(sK60,app(sK60,sK60)),X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227229,c_166]) ).
tcf(c_227648,plain,
! [X0: $i] :
( segmentP(app(sK60,app(sK60,sK60)),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(superposition,[status(thm)],[c_227229,c_193]) ).
tcf(c_227649,plain,
( ( app(sK60,sK60) = iPr_def_10 )
| ~ ssList(app(sK60,sK60))
| ( app(sK60,app(sK60,sK60)) != cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_227229,c_199114]) ).
tcf(c_227650,plain,
( ( app(sK60,sK60) = iPr_def_12 )
| ~ ssList(app(sK60,sK60))
| ( app(sK60,app(sK60,sK60)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_227229,c_186318]) ).
tcf(c_227651,plain,
( ( app(sK60,sK60) = nil )
| ~ ssList(app(sK60,sK60))
| ( app(sK60,app(sK60,sK60)) != sK60 ) ),
inference(superposition,[status(thm)],[c_227229,c_186310]) ).
tcf(c_227652,plain,
( ssList(app(sK60,app(sK60,sK60)))
| ~ ssList(app(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227639,c_12927]) ).
tcf(c_227655,plain,
( rearsegP(app(sK60,app(sK60,sK60)),sK60)
| ~ ssList(app(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227638,c_12927]) ).
tcf(c_227658,plain,
! [X0: $i] :
( segmentP(app(sK60,app(sK60,sK60)),X0)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227648,c_12927]) ).
tcf(c_227662,plain,
( segmentP(app(sK60,app(sK60,sK60)),sK60)
| ~ ssList(sK60)
| ~ ssList(app(sK60,app(sK60,sK60))) ),
inference(light_normalisation,[status(thm)],[c_227641,c_227229]) ).
tcf(c_227663,plain,
( segmentP(app(sK60,app(sK60,sK60)),sK60)
| ~ ssList(app(sK60,app(sK60,sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227662,c_12927]) ).
tcf(c_227666,plain,
( frontsegP(app(sK60,app(sK60,sK60)),app(sK60,sK60))
| ~ ssList(app(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227637,c_12927]) ).
tcf(c_227675,plain,
( ( nil = sK60 )
| ~ ssList(app(sK60,sK60))
| ( app(sK60,app(sK60,sK60)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227636,c_12927]) ).
tcf(c_227682,plain,
! [X0: $i] :
( memberP(app(sK60,app(sK60,sK60)),X0)
| ~ ssItem(X0)
| ~ memberP(sK60,X0)
| ~ ssList(app(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227647,c_12927]) ).
tcf(c_227687,plain,
! [X0: $i] :
( rearsegP(app(sK60,app(sK60,sK60)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ ssList(app(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227646,c_12927]) ).
tcf(c_227692,plain,
( ( app(sK60,sK60) = nil )
| ~ ssList(app(sK60,sK60))
| ( app(sK60,app(sK60,sK60)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227635,c_12927]) ).
tcf(c_227696,plain,
! [X0: $i] :
( memberP(app(sK60,app(sK60,sK60)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK60,sK60))
| ~ memberP(app(sK60,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227644,c_12927]) ).
tcf(c_227701,plain,
! [X0: $i] :
( frontsegP(app(sK60,app(sK60,sK60)),X0)
| ~ ssList(X0)
| ~ ssList(app(sK60,sK60))
| ~ frontsegP(app(sK60,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227643,c_12927]) ).
tcf(c_227706,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK60,app(sK60,sK60)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(app(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227645,c_12927]) ).
tcf(c_227712,plain,
! [X0: $i] :
( memberP(sK60,X0)
| memberP(app(sK60,sK60),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK60,sK60))
| ~ memberP(app(sK60,app(sK60,sK60)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227634,c_12927]) ).
tcf(c_227718,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(X0)
| ~ ssList(app(sK60,sK60))
| ( app(app(sK60,sK60),X0) != app(sK60,app(sK60,sK60)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227642,c_12927]) ).
tcf(c_227723,plain,
! [X0: $i] :
( ( app(sK60,sK60) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK60,sK60))
| ( app(sK60,app(sK60,sK60)) != app(X0,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227640,c_12927]) ).
tcf(c_227728,plain,
! [X0: $i] :
( segmentP(app(app(sK60,app(sK60,sK60)),X0),sK60)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(app(sK60,sK60))
| ~ ssList(app(app(sK60,app(sK60,sK60)),X0)) ),
inference(light_normalisation,[status(thm)],[c_227631,c_227229]) ).
tcf(c_227729,plain,
! [X0: $i] :
( segmentP(app(app(sK60,app(sK60,sK60)),X0),sK60)
| ~ ssList(X0)
| ~ ssList(app(sK60,sK60))
| ~ ssList(app(app(sK60,app(sK60,sK60)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227728,c_12927]) ).
tcf(c_227853,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),app(sK60,app(sK60,sK60))) = app(X0,app(X1,app(sK60,app(sK60,sK60)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_228]) ).
tcf(c_227854,plain,
( ( app(app(sK60,app(sK60,app(sK60,sK60))),sK60) = app(sK60,app(app(sK60,app(sK60,sK60)),sK60)) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_226915]) ).
tcf(c_227855,plain,
! [X0: $i] :
( ( app(app(app(sK60,app(sK60,sK60)),X0),sK60) = app(app(sK60,app(sK60,sK60)),app(X0,sK60)) )
| ~ ssList(X0)
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_183167]) ).
tcf(c_227856,plain,
( ( hd(app(iPr_def_10,app(sK60,app(sK60,sK60)))) = sK57 )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_179275]) ).
tcf(c_227857,plain,
( ( tl(cons(sK7,app(sK60,app(sK60,sK60)))) = app(sK60,app(sK60,sK60)) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_174213]) ).
tcf(c_227858,plain,
( ( cons(sK57,app(app(sK60,app(sK60,sK60)),sK56)) = app(cons(sK57,app(sK60,app(sK60,sK60))),sK56) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_197765]) ).
tcf(c_227859,plain,
( ( tl(cons(sK6,app(sK60,app(sK60,sK60)))) = app(sK60,app(sK60,sK60)) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_174212]) ).
tcf(c_227860,plain,
( ( cons(sK57,app(app(sK60,app(sK60,sK60)),sK59)) = app(cons(sK57,app(sK60,app(sK60,sK60))),sK59) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_197764]) ).
tcf(c_227861,plain,
( ( hd(cons(sK7,app(sK60,app(sK60,sK60)))) = sK7 )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_174092]) ).
tcf(c_227862,plain,
( ( hd(cons(sK6,app(sK60,app(sK60,sK60)))) = sK6 )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_174091]) ).
tcf(c_227863,plain,
( ( cons(sK57,app(app(sK60,app(sK60,sK60)),sK60)) = app(cons(sK57,app(sK60,app(sK60,sK60))),sK60) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_197763]) ).
tcf(c_227864,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,app(sK60,app(sK60,sK60)))) = app(cons(sK57,X0),app(sK60,app(sK60,sK60))) )
| ~ ssList(X0)
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_182224]) ).
tcf(c_227865,plain,
( ( nil = sK56 )
| ( app(tl(sK56),app(sK60,app(sK60,sK60))) = tl(app(sK56,app(sK60,app(sK60,sK60)))) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_181006]) ).
tcf(c_227866,plain,
( ( nil = sK59 )
| ( app(tl(sK59),app(sK60,app(sK60,sK60))) = tl(app(sK59,app(sK60,app(sK60,sK60)))) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_181005]) ).
tcf(c_227867,plain,
( ( nil = sK60 )
| ( app(tl(sK60),app(sK60,app(sK60,sK60))) = tl(app(sK60,app(sK60,app(sK60,sK60)))) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_181004]) ).
tcf(c_227868,plain,
( duplicatefreeP(app(sK60,app(sK60,sK60)))
| ( app(app(sK42(app(sK60,app(sK60,sK60))),cons(sK40(app(sK60,app(sK60,sK60))),sK43(app(sK60,app(sK60,sK60))))),cons(sK41(app(sK60,app(sK60,sK60))),sK44(app(sK60,app(sK60,sK60))))) = app(sK60,app(sK60,sK60)) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_124]) ).
tcf(c_227869,plain,
( strictorderedP(app(sK60,app(sK60,sK60)))
| ( app(app(sK37(app(sK60,app(sK60,sK60))),cons(sK35(app(sK60,app(sK60,sK60))),sK38(app(sK60,app(sK60,sK60))))),cons(sK36(app(sK60,app(sK60,sK60))),sK39(app(sK60,app(sK60,sK60))))) = app(sK60,app(sK60,sK60)) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_116]) ).
tcf(c_227870,plain,
( totalorderedP(app(sK60,app(sK60,sK60)))
| ( app(app(sK32(app(sK60,app(sK60,sK60))),cons(sK30(app(sK60,app(sK60,sK60))),sK33(app(sK60,app(sK60,sK60))))),cons(sK31(app(sK60,app(sK60,sK60))),sK34(app(sK60,app(sK60,sK60))))) = app(sK60,app(sK60,sK60)) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_108]) ).
tcf(c_227871,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK60,app(sK60,sK60)))) = hd(sK56) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_179266]) ).
tcf(c_227872,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK60,app(sK60,sK60)))) = hd(sK59) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_179265]) ).
tcf(c_227873,plain,
( ( nil = sK60 )
| ( hd(app(sK60,app(sK60,app(sK60,sK60)))) = hd(sK60) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_179264]) ).
tcf(c_227874,plain,
! [X0: $i] :
( ( app(sK60,app(sK60,sK60)) = nil )
| ( app(tl(app(sK60,app(sK60,sK60))),X0) = tl(app(app(sK60,app(sK60,sK60)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_234]) ).
tcf(c_227875,plain,
( equalelemsP(app(sK60,app(sK60,sK60)))
| ( app(sK47(app(sK60,app(sK60,sK60))),cons(sK45(app(sK60,app(sK60,sK60))),cons(sK46(app(sK60,app(sK60,sK60))),sK48(app(sK60,app(sK60,sK60)))))) = app(sK60,app(sK60,sK60)) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_132]) ).
tcf(c_227876,plain,
! [X0: $i] :
( ( app(sK60,app(sK60,sK60)) = nil )
| ( hd(app(app(sK60,app(sK60,sK60)),X0)) = hd(app(sK60,app(sK60,sK60))) )
| ~ ssList(X0)
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_233]) ).
tcf(c_227877,plain,
( ( app(sK60,app(sK60,sK60)) = nil )
| ( cons(hd(app(sK60,app(sK60,sK60))),tl(app(sK60,app(sK60,sK60)))) = app(sK60,app(sK60,sK60)) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_224]) ).
tcf(c_227878,plain,
( ( app(sK60,app(sK60,sK60)) = nil )
| ( cons(sK50(app(sK60,app(sK60,sK60))),sK49(app(sK60,app(sK60,sK60)))) = app(sK60,app(sK60,sK60)) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_147]) ).
tcf(c_227879,plain,
( ( app(sK60,app(sK60,sK60)) = nil )
| ( tl(app(sK60,app(sK60,sK60))) = sK52(app(sK60,app(sK60,sK60))) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_222]) ).
tcf(c_227880,plain,
( ( app(sK60,app(sK60,sK60)) = nil )
| ( hd(app(sK60,app(sK60,sK60))) = sK51(app(sK60,app(sK60,sK60))) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_220]) ).
tcf(c_227881,plain,
( ( app(nil,cons(sK57,app(sK60,app(sK60,sK60)))) = cons(sK57,app(sK60,app(sK60,sK60))) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_173594]) ).
tcf(c_227882,plain,
( ( tl(cons(sK57,app(sK60,app(sK60,sK60)))) = app(sK60,app(sK60,sK60)) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_174232]) ).
tcf(c_227883,plain,
( ( hd(cons(sK57,app(sK60,app(sK60,sK60)))) = sK57 )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_174111]) ).
tcf(c_227884,plain,
( ( app(sK60,app(sK60,sK60)) = nil )
| ( app(sK49(app(sK60,app(sK60,sK60))),nil) = sK49(app(sK60,app(sK60,sK60))) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_173044]) ).
tcf(c_227885,plain,
( duplicatefreeP(app(sK60,app(sK60,sK60)))
| ( sK40(app(sK60,app(sK60,sK60))) = sK41(app(sK60,app(sK60,sK60))) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_123]) ).
tcf(c_227886,plain,
( ( app(cons(sK57,app(sK60,app(sK60,sK60))),nil) = cons(sK57,app(sK60,app(sK60,sK60))) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_173094]) ).
tcf(c_227887,plain,
( ( app(app(sK60,app(sK60,sK60)),nil) = app(sK60,app(sK60,sK60)) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_232]) ).
tcf(c_227888,plain,
( ( app(nil,app(sK60,app(sK60,sK60))) = app(sK60,app(sK60,sK60)) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227652,c_155]) ).
tcf(c_228383,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( nil = sK59 )
| ( X0 = nil )
| ( app(sK60,tl(sK59)) = nil )
| ( app(sK60,tl(sK59)) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK60,tl(sK59)))
| ( hd(X0) != hd(sK60) )
| ( tl(app(sK60,tl(sK59))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_181569,c_223]) ).
tcf(c_228384,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK60,tl(sK59))))
| ( nil = sK60 )
| ( nil = sK59 )
| ( app(sK60,tl(sK59)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,hd(sK60))
| ~ strictorderedP(app(sK60,tl(sK59)))
| ~ ssList(app(sK60,tl(sK59))) ),
inference(superposition,[status(thm)],[c_181569,c_212]) ).
tcf(c_228385,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK60,tl(sK59))))
| ( nil = sK60 )
| ( nil = sK59 )
| ( app(sK60,tl(sK59)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,hd(sK60))
| ~ totalorderedP(app(sK60,tl(sK59)))
| ~ ssList(app(sK60,tl(sK59))) ),
inference(superposition,[status(thm)],[c_181569,c_206]) ).
tcf(c_228474,plain,
( segmentP(sK60,nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_192,c_194776]) ).
tcf(c_228477,plain,
segmentP(sK60,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_228474,c_141]) ).
fof(f223,definition,
! [X0] :
( sP0(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ leq(X2,X1)
| ~ leq(X1,X2) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f224,definition,
! [X0] :
( ~ sP1(X0)
| ( cyclefreeP(X0)
<=> sP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f225,plain,
! [X0] :
( ~ ssList(X0)
| sP1(X0) ),
inference(definition_folding,[],[f105,f224,f223]) ).
fof(f226,definition,
! [X0] :
( sP2(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| leq(X2,X1)
| leq(X1,X2) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f227,definition,
! [X0] :
( ~ sP3(X0)
| ( totalorderP(X0)
<=> sP2(X0) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f228,plain,
! [X0] :
( ~ ssList(X0)
| sP3(X0) ),
inference(definition_folding,[],[f107,f227,f226]) ).
fof(f229,definition,
! [X0] :
( sP4(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| lt(X2,X1)
| lt(X1,X2) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f230,definition,
! [X0] :
( ~ sP5(X0)
| ( strictorderP(X0)
<=> sP4(X0) ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f231,plain,
! [X0] :
( ~ ssList(X0)
| sP5(X0) ),
inference(definition_folding,[],[f109,f230,f229]) ).
fof(f250,plain,
! [X0] :
( ( ~ sP0(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ leq(X2,X1)
| ~ leq(X1,X2) ) ) ) ) ) )
& ( ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& leq(X2,X1)
& leq(X1,X2) ) ) ) ) )
| sP0(X0) ) ),
inference(nnf_transformation,[],[f223]) ).
fof(f251,plain,
! [X0] :
( ( ~ sP0(X0)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ leq(X7,X6)
| ~ leq(X6,X7) ) ) ) ) ) )
& ( ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& leq(X2,X1)
& leq(X1,X2) ) ) ) ) )
| sP0(X0) ) ),
inference(rectify,[],[f250]) ).
fof(f252,plain,
! [X0] :
( ( ~ sP0(X0)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ leq(X7,X6)
| ~ leq(X6,X7) ) ) ) ) ) )
& ( ( ssItem(sK15(X0))
& ssItem(sK16(X0))
& ssList(sK17(X0))
& ssList(sK18(X0))
& ssList(sK19(X0))
& app(app(sK17(X0),cons(sK15(X0),sK18(X0))),cons(sK16(X0),sK19(X0))) = X0
& leq(sK16(X0),sK15(X0))
& leq(sK15(X0),sK16(X0)) )
| sP0(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18,sK19]),skolemize(X1,sK15(X0)),skolemize(X2,sK16(X0)),skolemize(X3,sK17(X0)),skolemize(X4,sK18(X0)),skolemize(X5,sK19(X0))],[f251]) ).
fof(f254,plain,
! [X0] :
( ( ~ sP2(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| leq(X2,X1)
| leq(X1,X2) ) ) ) ) ) )
& ( ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ~ leq(X2,X1)
& ~ leq(X1,X2) ) ) ) ) )
| sP2(X0) ) ),
inference(nnf_transformation,[],[f226]) ).
fof(f255,plain,
! [X0] :
( ( ~ sP2(X0)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| leq(X7,X6)
| leq(X6,X7) ) ) ) ) ) )
& ( ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ~ leq(X2,X1)
& ~ leq(X1,X2) ) ) ) ) )
| sP2(X0) ) ),
inference(rectify,[],[f254]) ).
fof(f256,plain,
! [X0] :
( ( ~ sP2(X0)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| leq(X7,X6)
| leq(X6,X7) ) ) ) ) ) )
& ( ( ssItem(sK20(X0))
& ssItem(sK21(X0))
& ssList(sK22(X0))
& ssList(sK23(X0))
& ssList(sK24(X0))
& app(app(sK22(X0),cons(sK20(X0),sK23(X0))),cons(sK21(X0),sK24(X0))) = X0
& ~ leq(sK21(X0),sK20(X0))
& ~ leq(sK20(X0),sK21(X0)) )
| sP2(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24]),skolemize(X1,sK20(X0)),skolemize(X2,sK21(X0)),skolemize(X3,sK22(X0)),skolemize(X4,sK23(X0)),skolemize(X5,sK24(X0))],[f255]) ).
fof(f258,plain,
! [X0] :
( ( ~ sP4(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| lt(X2,X1)
| lt(X1,X2) ) ) ) ) ) )
& ( ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ~ lt(X2,X1)
& ~ lt(X1,X2) ) ) ) ) )
| sP4(X0) ) ),
inference(nnf_transformation,[],[f229]) ).
fof(f259,plain,
! [X0] :
( ( ~ sP4(X0)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| lt(X7,X6)
| lt(X6,X7) ) ) ) ) ) )
& ( ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ~ lt(X2,X1)
& ~ lt(X1,X2) ) ) ) ) )
| sP4(X0) ) ),
inference(rectify,[],[f258]) ).
fof(f260,plain,
! [X0] :
( ( ~ sP4(X0)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| lt(X7,X6)
| lt(X6,X7) ) ) ) ) ) )
& ( ( ssItem(sK25(X0))
& ssItem(sK26(X0))
& ssList(sK27(X0))
& ssList(sK28(X0))
& ssList(sK29(X0))
& app(app(sK27(X0),cons(sK25(X0),sK28(X0))),cons(sK26(X0),sK29(X0))) = X0
& ~ lt(sK26(X0),sK25(X0))
& ~ lt(sK25(X0),sK26(X0)) )
| sP4(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26,sK27,sK28,sK29]),skolemize(X1,sK25(X0)),skolemize(X2,sK26(X0)),skolemize(X3,sK27(X0)),skolemize(X4,sK28(X0)),skolemize(X5,sK29(X0))],[f259]) ).
fof(f321,plain,
! [X10,X0,X8,X6,X9,X7] :
( ~ sP0(X0)
| ~ ssItem(X6)
| ~ ssItem(X7)
| ~ ssList(X8)
| ~ ssList(X9)
| ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ leq(X7,X6)
| ~ leq(X6,X7) ),
inference(cnf_transformation,[],[f252]) ).
fof(f322,plain,
! [X0] :
( ssItem(sK15(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f323,plain,
! [X0] :
( ssItem(sK16(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f324,plain,
! [X0] :
( ssList(sK17(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f325,plain,
! [X0] :
( ssList(sK18(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f326,plain,
! [X0] :
( ssList(sK19(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f327,plain,
! [X0] :
( app(app(sK17(X0),cons(sK15(X0),sK18(X0))),cons(sK16(X0),sK19(X0))) = X0
| sP0(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f328,plain,
! [X0] :
( leq(sK16(X0),sK15(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f329,plain,
! [X0] :
( leq(sK15(X0),sK16(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f333,plain,
! [X10,X0,X8,X6,X9,X7] :
( ~ sP2(X0)
| ~ ssItem(X6)
| ~ ssItem(X7)
| ~ ssList(X8)
| ~ ssList(X9)
| ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| leq(X7,X6)
| leq(X6,X7) ),
inference(cnf_transformation,[],[f256]) ).
fof(f334,plain,
! [X0] :
( ssItem(sK20(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f335,plain,
! [X0] :
( ssItem(sK21(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f336,plain,
! [X0] :
( ssList(sK22(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f337,plain,
! [X0] :
( ssList(sK23(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f338,plain,
! [X0] :
( ssList(sK24(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f339,plain,
! [X0] :
( app(app(sK22(X0),cons(sK20(X0),sK23(X0))),cons(sK21(X0),sK24(X0))) = X0
| sP2(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f340,plain,
! [X0] :
( ~ leq(sK21(X0),sK20(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f341,plain,
! [X0] :
( ~ leq(sK20(X0),sK21(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f345,plain,
! [X10,X0,X8,X6,X9,X7] :
( ~ sP4(X0)
| ~ ssItem(X6)
| ~ ssItem(X7)
| ~ ssList(X8)
| ~ ssList(X9)
| ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| lt(X7,X6)
| lt(X6,X7) ),
inference(cnf_transformation,[],[f260]) ).
fof(f346,plain,
! [X0] :
( ssItem(sK25(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f347,plain,
! [X0] :
( ssItem(sK26(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f348,plain,
! [X0] :
( ssList(sK27(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f349,plain,
! [X0] :
( ssList(sK28(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f350,plain,
! [X0] :
( ssList(sK29(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f351,plain,
! [X0] :
( app(app(sK27(X0),cons(sK25(X0),sK28(X0))),cons(sK26(X0),sK29(X0))) = X0
| sP4(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f352,plain,
! [X0] :
( ~ lt(sK26(X0),sK25(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f353,plain,
! [X0] :
( ~ lt(sK25(X0),sK26(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f518,plain,
! [X10,X8,X6,X9,X7] :
( ~ sP0(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ ssItem(X6)
| ~ ssItem(X7)
| ~ ssList(X8)
| ~ ssList(X9)
| ~ ssList(X10)
| ~ leq(X7,X6)
| ~ leq(X6,X7) ),
inference(equality_resolution,[],[f321]) ).
fof(f519,plain,
! [X10,X8,X6,X9,X7] :
( ~ sP2(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ ssItem(X6)
| ~ ssItem(X7)
| ~ ssList(X8)
| ~ ssList(X9)
| ~ ssList(X10)
| leq(X7,X6)
| leq(X6,X7) ),
inference(equality_resolution,[],[f333]) ).
fof(f520,plain,
! [X10,X8,X6,X9,X7] :
( ~ sP4(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ ssItem(X6)
| ~ ssItem(X7)
| ~ ssList(X8)
| ~ ssList(X9)
| ~ ssList(X10)
| lt(X7,X6)
| lt(X6,X7) ),
inference(equality_resolution,[],[f345]) ).
tcf(c_73,plain,
! [X0: $i] :
( sP0(X0)
| leq(sK15(X0),sK16(X0)) ),
inference(cnf_transformation,[],[f329]) ).
tcf(c_74,plain,
! [X0: $i] :
( sP0(X0)
| leq(sK16(X0),sK15(X0)) ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_75,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK17(X0),cons(sK15(X0),sK18(X0))),cons(sK16(X0),sK19(X0))) = X0 ) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_76,plain,
! [X0: $i] :
( sP0(X0)
| ssList(sK19(X0)) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_77,plain,
! [X0: $i] :
( sP0(X0)
| ssList(sK18(X0)) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_78,plain,
! [X0: $i] :
( sP0(X0)
| ssList(sK17(X0)) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_79,plain,
! [X0: $i] :
( sP0(X0)
| ssItem(sK16(X0)) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_80,plain,
! [X0: $i] :
( sP0(X0)
| ssItem(sK15(X0)) ),
inference(cnf_transformation,[],[f322]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ leq(X3,X1)
| ~ leq(X1,X3)
| ~ sP0(app(app(X0,cons(X1,X2)),cons(X3,X4))) ),
inference(cnf_transformation,[],[f518]) ).
tcf(c_85,plain,
! [X0: $i] :
( sP2(X0)
| ~ leq(sK20(X0),sK21(X0)) ),
inference(cnf_transformation,[],[f341]) ).
tcf(c_86,plain,
! [X0: $i] :
( sP2(X0)
| ~ leq(sK21(X0),sK20(X0)) ),
inference(cnf_transformation,[],[f340]) ).
tcf(c_87,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK22(X0),cons(sK20(X0),sK23(X0))),cons(sK21(X0),sK24(X0))) = X0 ) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_88,plain,
! [X0: $i] :
( sP2(X0)
| ssList(sK24(X0)) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_89,plain,
! [X0: $i] :
( sP2(X0)
| ssList(sK23(X0)) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_90,plain,
! [X0: $i] :
( sP2(X0)
| ssList(sK22(X0)) ),
inference(cnf_transformation,[],[f336]) ).
tcf(c_91,plain,
! [X0: $i] :
( sP2(X0)
| ssItem(sK21(X0)) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_92,plain,
! [X0: $i] :
( sP2(X0)
| ssItem(sK20(X0)) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X3,X1)
| leq(X1,X3)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ sP2(app(app(X0,cons(X1,X2)),cons(X3,X4))) ),
inference(cnf_transformation,[],[f519]) ).
tcf(c_97,plain,
! [X0: $i] :
( sP4(X0)
| ~ lt(sK25(X0),sK26(X0)) ),
inference(cnf_transformation,[],[f353]) ).
tcf(c_98,plain,
! [X0: $i] :
( sP4(X0)
| ~ lt(sK26(X0),sK25(X0)) ),
inference(cnf_transformation,[],[f352]) ).
tcf(c_99,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK27(X0),cons(sK25(X0),sK28(X0))),cons(sK26(X0),sK29(X0))) = X0 ) ),
inference(cnf_transformation,[],[f351]) ).
tcf(c_100,plain,
! [X0: $i] :
( sP4(X0)
| ssList(sK29(X0)) ),
inference(cnf_transformation,[],[f350]) ).
tcf(c_101,plain,
! [X0: $i] :
( sP4(X0)
| ssList(sK28(X0)) ),
inference(cnf_transformation,[],[f349]) ).
tcf(c_102,plain,
! [X0: $i] :
( sP4(X0)
| ssList(sK27(X0)) ),
inference(cnf_transformation,[],[f348]) ).
tcf(c_103,plain,
! [X0: $i] :
( sP4(X0)
| ssItem(sK26(X0)) ),
inference(cnf_transformation,[],[f347]) ).
tcf(c_104,plain,
! [X0: $i] :
( sP4(X0)
| ssItem(sK25(X0)) ),
inference(cnf_transformation,[],[f346]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X3,X1)
| lt(X1,X3)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ sP4(app(app(X0,cons(X1,X2)),cons(X3,X4))) ),
inference(cnf_transformation,[],[f520]) ).
tcf(c_172857,plain,
! [X0: $i] :
( sP0(X0)
| ( app(nil,sK19(X0)) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_155]) ).
tcf(c_172858,plain,
! [X0: $i] :
( sP0(X0)
| ( app(nil,sK18(X0)) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_155]) ).
tcf(c_172859,plain,
! [X0: $i] :
( sP0(X0)
| ( app(nil,sK17(X0)) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_155]) ).
tcf(c_172860,plain,
! [X0: $i] :
( sP2(X0)
| ( app(nil,sK24(X0)) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_155]) ).
tcf(c_172861,plain,
! [X0: $i] :
( sP2(X0)
| ( app(nil,sK23(X0)) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_155]) ).
tcf(c_172862,plain,
! [X0: $i] :
( sP2(X0)
| ( app(nil,sK22(X0)) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_155]) ).
tcf(c_172863,plain,
! [X0: $i] :
( sP4(X0)
| ( app(nil,sK29(X0)) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_155]) ).
tcf(c_172864,plain,
! [X0: $i] :
( sP4(X0)
| ( app(nil,sK28(X0)) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_155]) ).
tcf(c_172865,plain,
! [X0: $i] :
( sP4(X0)
| ( app(nil,sK27(X0)) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_155]) ).
tcf(c_172942,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK19(X0),nil) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_232]) ).
tcf(c_172943,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK18(X0),nil) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_232]) ).
tcf(c_172944,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK17(X0),nil) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_232]) ).
tcf(c_172945,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK24(X0),nil) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_232]) ).
tcf(c_172946,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK23(X0),nil) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_232]) ).
tcf(c_172947,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK22(X0),nil) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_232]) ).
tcf(c_172948,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK29(X0),nil) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_232]) ).
tcf(c_172949,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK28(X0),nil) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_232]) ).
tcf(c_172950,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK27(X0),nil) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_232]) ).
tcf(c_173078,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( app(cons(sK16(X1),X0),nil) = cons(sK16(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79,c_173029]) ).
tcf(c_173079,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( app(cons(sK15(X1),X0),nil) = cons(sK15(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_80,c_173029]) ).
tcf(c_173080,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( app(cons(sK21(X1),X0),nil) = cons(sK21(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_91,c_173029]) ).
tcf(c_173081,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( app(cons(sK20(X1),X0),nil) = cons(sK20(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_92,c_173029]) ).
tcf(c_173082,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( app(cons(sK26(X1),X0),nil) = cons(sK26(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_103,c_173029]) ).
tcf(c_173083,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( app(cons(sK25(X1),X0),nil) = cons(sK25(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_104,c_173029]) ).
tcf(c_173247,plain,
! [X0: $i] :
( sP0(X0)
| ( app(cons(sK57,sK19(X0)),nil) = cons(sK57,sK19(X0)) ) ),
inference(superposition,[status(thm)],[c_76,c_173094]) ).
tcf(c_173248,plain,
! [X0: $i] :
( sP0(X0)
| ( app(cons(sK57,sK18(X0)),nil) = cons(sK57,sK18(X0)) ) ),
inference(superposition,[status(thm)],[c_77,c_173094]) ).
tcf(c_173249,plain,
! [X0: $i] :
( sP0(X0)
| ( app(cons(sK57,sK17(X0)),nil) = cons(sK57,sK17(X0)) ) ),
inference(superposition,[status(thm)],[c_78,c_173094]) ).
tcf(c_173250,plain,
! [X0: $i] :
( sP2(X0)
| ( app(cons(sK57,sK24(X0)),nil) = cons(sK57,sK24(X0)) ) ),
inference(superposition,[status(thm)],[c_88,c_173094]) ).
tcf(c_173251,plain,
! [X0: $i] :
( sP2(X0)
| ( app(cons(sK57,sK23(X0)),nil) = cons(sK57,sK23(X0)) ) ),
inference(superposition,[status(thm)],[c_89,c_173094]) ).
tcf(c_173252,plain,
! [X0: $i] :
( sP2(X0)
| ( app(cons(sK57,sK22(X0)),nil) = cons(sK57,sK22(X0)) ) ),
inference(superposition,[status(thm)],[c_90,c_173094]) ).
tcf(c_173253,plain,
! [X0: $i] :
( sP4(X0)
| ( app(cons(sK57,sK29(X0)),nil) = cons(sK57,sK29(X0)) ) ),
inference(superposition,[status(thm)],[c_100,c_173094]) ).
tcf(c_173254,plain,
! [X0: $i] :
( sP4(X0)
| ( app(cons(sK57,sK28(X0)),nil) = cons(sK57,sK28(X0)) ) ),
inference(superposition,[status(thm)],[c_101,c_173094]) ).
tcf(c_173255,plain,
! [X0: $i] :
( sP4(X0)
| ( app(cons(sK57,sK27(X0)),nil) = cons(sK57,sK27(X0)) ) ),
inference(superposition,[status(thm)],[c_102,c_173094]) ).
tcf(c_173378,plain,
! [X0: $i] :
( sP0(X0)
| duplicatefreeP(sK19(X0))
| ( sK40(sK19(X0)) = sK41(sK19(X0)) ) ),
inference(superposition,[status(thm)],[c_76,c_123]) ).
tcf(c_173379,plain,
! [X0: $i] :
( sP0(X0)
| duplicatefreeP(sK18(X0))
| ( sK40(sK18(X0)) = sK41(sK18(X0)) ) ),
inference(superposition,[status(thm)],[c_77,c_123]) ).
tcf(c_173380,plain,
! [X0: $i] :
( sP0(X0)
| duplicatefreeP(sK17(X0))
| ( sK40(sK17(X0)) = sK41(sK17(X0)) ) ),
inference(superposition,[status(thm)],[c_78,c_123]) ).
tcf(c_173381,plain,
! [X0: $i] :
( sP2(X0)
| duplicatefreeP(sK24(X0))
| ( sK40(sK24(X0)) = sK41(sK24(X0)) ) ),
inference(superposition,[status(thm)],[c_88,c_123]) ).
tcf(c_173382,plain,
! [X0: $i] :
( sP2(X0)
| duplicatefreeP(sK23(X0))
| ( sK40(sK23(X0)) = sK41(sK23(X0)) ) ),
inference(superposition,[status(thm)],[c_89,c_123]) ).
tcf(c_173383,plain,
! [X0: $i] :
( sP2(X0)
| duplicatefreeP(sK22(X0))
| ( sK40(sK22(X0)) = sK41(sK22(X0)) ) ),
inference(superposition,[status(thm)],[c_90,c_123]) ).
tcf(c_173384,plain,
! [X0: $i] :
( sP4(X0)
| duplicatefreeP(sK29(X0))
| ( sK40(sK29(X0)) = sK41(sK29(X0)) ) ),
inference(superposition,[status(thm)],[c_100,c_123]) ).
tcf(c_173385,plain,
! [X0: $i] :
( sP4(X0)
| duplicatefreeP(sK28(X0))
| ( sK40(sK28(X0)) = sK41(sK28(X0)) ) ),
inference(superposition,[status(thm)],[c_101,c_123]) ).
tcf(c_173386,plain,
! [X0: $i] :
( sP4(X0)
| duplicatefreeP(sK27(X0))
| ( sK40(sK27(X0)) = sK41(sK27(X0)) ) ),
inference(superposition,[status(thm)],[c_102,c_123]) ).
tcf(c_173577,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( app(nil,cons(sK16(X1),X0)) = cons(sK16(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79,c_173030]) ).
tcf(c_173578,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( app(nil,cons(sK15(X1),X0)) = cons(sK15(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_80,c_173030]) ).
tcf(c_173579,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( app(nil,cons(sK21(X1),X0)) = cons(sK21(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_91,c_173030]) ).
tcf(c_173580,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( app(nil,cons(sK20(X1),X0)) = cons(sK20(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_92,c_173030]) ).
tcf(c_173581,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( app(nil,cons(sK26(X1),X0)) = cons(sK26(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_103,c_173030]) ).
tcf(c_173582,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( app(nil,cons(sK25(X1),X0)) = cons(sK25(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_104,c_173030]) ).
tcf(c_173771,plain,
! [X0: $i] :
( sP0(X0)
| ( sK19(X0) = nil )
| ( app(sK49(sK19(X0)),nil) = sK49(sK19(X0)) ) ),
inference(superposition,[status(thm)],[c_76,c_173044]) ).
tcf(c_173772,plain,
! [X0: $i] :
( sP0(X0)
| ( sK18(X0) = nil )
| ( app(sK49(sK18(X0)),nil) = sK49(sK18(X0)) ) ),
inference(superposition,[status(thm)],[c_77,c_173044]) ).
tcf(c_173773,plain,
! [X0: $i] :
( sP0(X0)
| ( sK17(X0) = nil )
| ( app(sK49(sK17(X0)),nil) = sK49(sK17(X0)) ) ),
inference(superposition,[status(thm)],[c_78,c_173044]) ).
tcf(c_173774,plain,
! [X0: $i] :
( sP2(X0)
| ( sK24(X0) = nil )
| ( app(sK49(sK24(X0)),nil) = sK49(sK24(X0)) ) ),
inference(superposition,[status(thm)],[c_88,c_173044]) ).
tcf(c_173775,plain,
! [X0: $i] :
( sP2(X0)
| ( sK23(X0) = nil )
| ( app(sK49(sK23(X0)),nil) = sK49(sK23(X0)) ) ),
inference(superposition,[status(thm)],[c_89,c_173044]) ).
tcf(c_173776,plain,
! [X0: $i] :
( sP2(X0)
| ( sK22(X0) = nil )
| ( app(sK49(sK22(X0)),nil) = sK49(sK22(X0)) ) ),
inference(superposition,[status(thm)],[c_90,c_173044]) ).
tcf(c_173777,plain,
! [X0: $i] :
( sP4(X0)
| ( sK29(X0) = nil )
| ( app(sK49(sK29(X0)),nil) = sK49(sK29(X0)) ) ),
inference(superposition,[status(thm)],[c_100,c_173044]) ).
tcf(c_173778,plain,
! [X0: $i] :
( sP4(X0)
| ( sK28(X0) = nil )
| ( app(sK49(sK28(X0)),nil) = sK49(sK28(X0)) ) ),
inference(superposition,[status(thm)],[c_101,c_173044]) ).
tcf(c_173779,plain,
! [X0: $i] :
( sP4(X0)
| ( sK27(X0) = nil )
| ( app(sK49(sK27(X0)),nil) = sK49(sK27(X0)) ) ),
inference(superposition,[status(thm)],[c_102,c_173044]) ).
tcf(c_174094,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_174095,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_174096,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_174097,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_174098,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_174099,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_174215,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_174216,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_174217,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_174218,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_174219,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_174220,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_174332,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK57,sK19(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_76,c_174111]) ).
tcf(c_174333,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK57,sK18(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_77,c_174111]) ).
tcf(c_174334,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK57,sK17(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_78,c_174111]) ).
tcf(c_174335,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK57,sK24(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_88,c_174111]) ).
tcf(c_174336,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK57,sK23(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_89,c_174111]) ).
tcf(c_174337,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK57,sK22(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_90,c_174111]) ).
tcf(c_174338,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK57,sK29(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_100,c_174111]) ).
tcf(c_174339,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK57,sK28(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_101,c_174111]) ).
tcf(c_174340,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK57,sK27(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_102,c_174111]) ).
tcf(c_174479,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK57,sK19(X0))) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_174232]) ).
tcf(c_174480,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK57,sK18(X0))) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_174232]) ).
tcf(c_174481,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK57,sK17(X0))) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_174232]) ).
tcf(c_174482,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK57,sK24(X0))) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_174232]) ).
tcf(c_174483,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK57,sK23(X0))) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_174232]) ).
tcf(c_174484,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK57,sK22(X0))) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_174232]) ).
tcf(c_174485,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK57,sK29(X0))) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_174232]) ).
tcf(c_174486,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK57,sK28(X0))) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_174232]) ).
tcf(c_174487,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK57,sK27(X0))) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_174232]) ).
tcf(c_174635,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_174636,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_174693,plain,
! [X0: $i] :
( sP0(X0)
| ( app(nil,cons(sK57,sK19(X0))) = cons(sK57,sK19(X0)) ) ),
inference(superposition,[status(thm)],[c_76,c_173594]) ).
tcf(c_174694,plain,
! [X0: $i] :
( sP0(X0)
| ( app(nil,cons(sK57,sK18(X0))) = cons(sK57,sK18(X0)) ) ),
inference(superposition,[status(thm)],[c_77,c_173594]) ).
tcf(c_174695,plain,
! [X0: $i] :
( sP0(X0)
| ( app(nil,cons(sK57,sK17(X0))) = cons(sK57,sK17(X0)) ) ),
inference(superposition,[status(thm)],[c_78,c_173594]) ).
tcf(c_174696,plain,
! [X0: $i] :
( sP2(X0)
| ( app(nil,cons(sK57,sK24(X0))) = cons(sK57,sK24(X0)) ) ),
inference(superposition,[status(thm)],[c_88,c_173594]) ).
tcf(c_174697,plain,
! [X0: $i] :
( sP2(X0)
| ( app(nil,cons(sK57,sK23(X0))) = cons(sK57,sK23(X0)) ) ),
inference(superposition,[status(thm)],[c_89,c_173594]) ).
tcf(c_174698,plain,
! [X0: $i] :
( sP2(X0)
| ( app(nil,cons(sK57,sK22(X0))) = cons(sK57,sK22(X0)) ) ),
inference(superposition,[status(thm)],[c_90,c_173594]) ).
tcf(c_174699,plain,
! [X0: $i] :
( sP4(X0)
| ( app(nil,cons(sK57,sK29(X0))) = cons(sK57,sK29(X0)) ) ),
inference(superposition,[status(thm)],[c_100,c_173594]) ).
tcf(c_174700,plain,
! [X0: $i] :
( sP4(X0)
| ( app(nil,cons(sK57,sK28(X0))) = cons(sK57,sK28(X0)) ) ),
inference(superposition,[status(thm)],[c_101,c_173594]) ).
tcf(c_174701,plain,
! [X0: $i] :
( sP4(X0)
| ( app(nil,cons(sK57,sK27(X0))) = cons(sK57,sK27(X0)) ) ),
inference(superposition,[status(thm)],[c_102,c_173594]) ).
tcf(c_174891,plain,
! [X0: $i] :
( sP0(X0)
| ( sK19(X0) = nil )
| ( hd(sK19(X0)) = sK51(sK19(X0)) ) ),
inference(superposition,[status(thm)],[c_76,c_220]) ).
tcf(c_174892,plain,
! [X0: $i] :
( sP0(X0)
| ( sK18(X0) = nil )
| ( hd(sK18(X0)) = sK51(sK18(X0)) ) ),
inference(superposition,[status(thm)],[c_77,c_220]) ).
tcf(c_174893,plain,
! [X0: $i] :
( sP0(X0)
| ( sK17(X0) = nil )
| ( hd(sK17(X0)) = sK51(sK17(X0)) ) ),
inference(superposition,[status(thm)],[c_78,c_220]) ).
tcf(c_174894,plain,
! [X0: $i] :
( sP2(X0)
| ( sK24(X0) = nil )
| ( hd(sK24(X0)) = sK51(sK24(X0)) ) ),
inference(superposition,[status(thm)],[c_88,c_220]) ).
tcf(c_174895,plain,
! [X0: $i] :
( sP2(X0)
| ( sK23(X0) = nil )
| ( hd(sK23(X0)) = sK51(sK23(X0)) ) ),
inference(superposition,[status(thm)],[c_89,c_220]) ).
tcf(c_174896,plain,
! [X0: $i] :
( sP2(X0)
| ( sK22(X0) = nil )
| ( hd(sK22(X0)) = sK51(sK22(X0)) ) ),
inference(superposition,[status(thm)],[c_90,c_220]) ).
tcf(c_174897,plain,
! [X0: $i] :
( sP4(X0)
| ( sK29(X0) = nil )
| ( hd(sK29(X0)) = sK51(sK29(X0)) ) ),
inference(superposition,[status(thm)],[c_100,c_220]) ).
tcf(c_174898,plain,
! [X0: $i] :
( sP4(X0)
| ( sK28(X0) = nil )
| ( hd(sK28(X0)) = sK51(sK28(X0)) ) ),
inference(superposition,[status(thm)],[c_101,c_220]) ).
tcf(c_174899,plain,
! [X0: $i] :
( sP4(X0)
| ( sK27(X0) = nil )
| ( hd(sK27(X0)) = sK51(sK27(X0)) ) ),
inference(superposition,[status(thm)],[c_102,c_220]) ).
tcf(c_175080,plain,
! [X0: $i] :
( sP0(X0)
| ( sK19(X0) = nil )
| ( tl(sK19(X0)) = sK52(sK19(X0)) ) ),
inference(superposition,[status(thm)],[c_76,c_222]) ).
tcf(c_175081,plain,
! [X0: $i] :
( sP0(X0)
| ( sK18(X0) = nil )
| ( tl(sK18(X0)) = sK52(sK18(X0)) ) ),
inference(superposition,[status(thm)],[c_77,c_222]) ).
tcf(c_175082,plain,
! [X0: $i] :
( sP0(X0)
| ( sK17(X0) = nil )
| ( tl(sK17(X0)) = sK52(sK17(X0)) ) ),
inference(superposition,[status(thm)],[c_78,c_222]) ).
tcf(c_175083,plain,
! [X0: $i] :
( sP2(X0)
| ( sK24(X0) = nil )
| ( tl(sK24(X0)) = sK52(sK24(X0)) ) ),
inference(superposition,[status(thm)],[c_88,c_222]) ).
tcf(c_175084,plain,
! [X0: $i] :
( sP2(X0)
| ( sK23(X0) = nil )
| ( tl(sK23(X0)) = sK52(sK23(X0)) ) ),
inference(superposition,[status(thm)],[c_89,c_222]) ).
tcf(c_175085,plain,
! [X0: $i] :
( sP2(X0)
| ( sK22(X0) = nil )
| ( tl(sK22(X0)) = sK52(sK22(X0)) ) ),
inference(superposition,[status(thm)],[c_90,c_222]) ).
tcf(c_175086,plain,
! [X0: $i] :
( sP4(X0)
| ( sK29(X0) = nil )
| ( tl(sK29(X0)) = sK52(sK29(X0)) ) ),
inference(superposition,[status(thm)],[c_100,c_222]) ).
tcf(c_175087,plain,
! [X0: $i] :
( sP4(X0)
| ( sK28(X0) = nil )
| ( tl(sK28(X0)) = sK52(sK28(X0)) ) ),
inference(superposition,[status(thm)],[c_101,c_222]) ).
tcf(c_175088,plain,
! [X0: $i] :
( sP4(X0)
| ( sK27(X0) = nil )
| ( tl(sK27(X0)) = sK52(sK27(X0)) ) ),
inference(superposition,[status(thm)],[c_102,c_222]) ).
tcf(c_176026,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_176027,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_176028,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_176029,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_176030,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_176031,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_176032,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_176033,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_176034,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_176217,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_176218,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_176219,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_176220,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_176221,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_176222,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_176223,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_176224,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_176225,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_176800,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_176801,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_176802,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_176803,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_176804,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_176805,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_177448,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_177449,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_177862,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_177863,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_179239,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_179240,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_179241,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_179242,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_179243,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_179244,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_179245,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_179246,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_179247,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_179698,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_179699,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_179700,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_179701,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_179702,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_179703,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_179704,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_179705,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_179706,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_180362,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_180363,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_180979,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_180980,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_180981,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_180982,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_180983,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_180984,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_180985,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_180986,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_180987,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_181536,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK19(X0))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_76,c_179264]) ).
tcf(c_181537,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK18(X0))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_77,c_179264]) ).
tcf(c_181538,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK17(X0))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_78,c_179264]) ).
tcf(c_181539,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK24(X0))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_88,c_179264]) ).
tcf(c_181540,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK23(X0))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_89,c_179264]) ).
tcf(c_181541,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK22(X0))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_90,c_179264]) ).
tcf(c_181542,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK29(X0))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_100,c_179264]) ).
tcf(c_181543,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK28(X0))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_101,c_179264]) ).
tcf(c_181544,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK27(X0))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_102,c_179264]) ).
tcf(c_181778,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK19(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_76,c_179265]) ).
tcf(c_181779,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK18(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_77,c_179265]) ).
tcf(c_181780,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK17(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_78,c_179265]) ).
tcf(c_181781,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK24(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_88,c_179265]) ).
tcf(c_181782,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK23(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_89,c_179265]) ).
tcf(c_181783,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK22(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_90,c_179265]) ).
tcf(c_181784,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK29(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_100,c_179265]) ).
tcf(c_181785,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK28(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_101,c_179265]) ).
tcf(c_181786,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK27(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_102,c_179265]) ).
tcf(c_182169,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_182170,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_182207,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_182208,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_182209,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_182210,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_182211,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_182212,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_182646,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK19(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_76,c_179266]) ).
tcf(c_182647,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK18(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_77,c_179266]) ).
tcf(c_182648,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK17(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_78,c_179266]) ).
tcf(c_182649,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK24(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_88,c_179266]) ).
tcf(c_182650,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK23(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_89,c_179266]) ).
tcf(c_182651,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK22(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_90,c_179266]) ).
tcf(c_182652,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK29(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_100,c_179266]) ).
tcf(c_182653,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK28(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_101,c_179266]) ).
tcf(c_182654,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK27(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_102,c_179266]) ).
tcf(c_183142,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_183143,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_183144,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_183145,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_183146,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_183147,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_183148,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_183149,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_183150,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_184149,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_184150,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_184151,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_184152,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_184153,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_184154,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_184155,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_184156,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_184157,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_184809,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_184810,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_184811,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_184812,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_184813,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_184814,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_184815,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_184816,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_184817,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_185031,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_185032,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_185033,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_185034,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_185035,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_185036,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_185037,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_185038,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_185039,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_190307,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_190308,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_174336,c_93]) ).
tcf(c_190309,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_174335,c_93]) ).
tcf(c_190310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( app(cons(sK57,sK22(app(app(X2,cons(X0,X3)),cons(X1,X4)))),nil) = cons(sK57,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_173252,c_93]) ).
tcf(c_190311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( app(cons(sK57,sK23(app(app(X2,cons(X0,X3)),cons(X1,X4)))),nil) = cons(sK57,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_173251,c_93]) ).
tcf(c_190312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( app(cons(sK57,sK24(app(app(X2,cons(X0,X3)),cons(X1,X4)))),nil) = cons(sK57,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_173250,c_93]) ).
tcf(c_190313,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP2(app(cons(sK57,sK60),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_174718,c_93]) ).
tcf(c_190314,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_174719,c_93]) ).
tcf(c_190315,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_174720,c_93]) ).
tcf(c_190316,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP2(app(cons(sK57,iPr_def_13),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_174721,c_93]) ).
tcf(c_190317,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_174722,c_93]) ).
tcf(c_190318,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_174723,c_93]) ).
tcf(c_190319,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_174724,c_93]) ).
tcf(c_190320,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK60))
| ~ sP2(app(cons(sK57,tl(sK60)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_175806,c_93]) ).
tcf(c_190321,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_183614,c_93]) ).
tcf(c_190322,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_183613,c_93]) ).
tcf(c_190323,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_183612,c_93]) ).
tcf(c_190324,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_13,sK57))
| ~ ssList(sK8(iPr_def_13,sK57))
| ~ sP2(app(iPr_def_13,cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_183611,c_93]) ).
tcf(c_190325,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_10),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_12917,c_93]) ).
tcf(c_190326,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK10(iPr_def_13))
| leq(sK10(iPr_def_13),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_13))
| ~ sP2(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_174042,c_93]) ).
tcf(c_190327,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_174048,c_93]) ).
tcf(c_190328,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(sK60))
| leq(sK50(sK60),X1)
| ( nil = sK60 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ~ sP2(app(app(X0,sK60),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_176051,c_93]) ).
tcf(c_190329,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_176052,c_93]) ).
tcf(c_190330,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_176053,c_93]) ).
tcf(c_190331,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_176061,c_93]) ).
tcf(c_190332,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(sK60))
| leq(hd(sK60),X1)
| ( nil = sK60 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ~ sP2(app(app(X0,sK60),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_176242,c_93]) ).
tcf(c_190333,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_176243,c_93]) ).
tcf(c_190334,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_176244,c_93]) ).
tcf(c_190335,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_10)) ),
inference(superposition,[status(thm)],[c_12917,c_93]) ).
tcf(c_190336,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK10(iPr_def_13))
| leq(sK10(iPr_def_13),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_13))
| ~ sP2(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(superposition,[status(thm)],[c_174042,c_93]) ).
tcf(c_190337,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_174048,c_93]) ).
tcf(c_190338,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(sK60))
| leq(sK50(sK60),X1)
| ( nil = sK60 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ~ sP2(app(app(X0,cons(X1,X2)),sK60)) ),
inference(superposition,[status(thm)],[c_176051,c_93]) ).
tcf(c_190339,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_176052,c_93]) ).
tcf(c_190340,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_176053,c_93]) ).
tcf(c_190341,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_176061,c_93]) ).
tcf(c_190342,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(sK60))
| leq(hd(sK60),X1)
| ( nil = sK60 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ~ sP2(app(app(X0,cons(X1,X2)),sK60)) ),
inference(superposition,[status(thm)],[c_176242,c_93]) ).
tcf(c_190343,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_176243,c_93]) ).
tcf(c_190344,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_176244,c_93]) ).
tcf(c_190345,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_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190335,c_141,c_12925]) ).
tcf(c_190352,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_10),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190325,c_141,c_12925]) ).
tcf(c_190359,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_190319,c_173031,c_141,c_12925]) ).
tcf(c_190365,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_190318,c_173203,c_141,c_12925]) ).
tcf(c_190371,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_190317,c_173202,c_141,c_12925]) ).
tcf(c_190377,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP2(app(cons(sK57,iPr_def_13),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190316,c_172540,c_141,c_12925]) ).
tcf(c_190383,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_190315,c_12924,c_141,c_12925]) ).
tcf(c_190389,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_190314,c_12926,c_141,c_12925]) ).
tcf(c_190395,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP2(app(cons(sK57,sK60),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190313,c_12927,c_141,c_12925]) ).
tcf(c_190401,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_13,sK57))
| ~ ssList(sK8(iPr_def_13,sK57))
| ~ sP2(app(iPr_def_13,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190324,c_12925]) ).
tcf(c_190409,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_190323,c_12925]) ).
tcf(c_190417,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_190322,c_12925]) ).
tcf(c_190425,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_190321,c_12925]) ).
tcf(c_190433,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_190337,c_141]) ).
tcf(c_190441,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK10(iPr_def_13))
| leq(sK10(iPr_def_13),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_13))
| ~ sP2(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190336,c_141]) ).
tcf(c_190449,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_190327,c_141]) ).
tcf(c_190457,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK10(iPr_def_13))
| leq(sK10(iPr_def_13),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_13))
| ~ sP2(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190326,c_141]) ).
tcf(c_190481,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ( nil = sK60 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK60))
| ~ sP2(app(cons(sK57,tl(sK60)),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190320,c_141,c_12925]) ).
tcf(c_190801,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_190802,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP4(app(cons(sK57,sK60),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_174718,c_105]) ).
tcf(c_190803,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_174719,c_105]) ).
tcf(c_190804,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_174720,c_105]) ).
tcf(c_190805,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP4(app(cons(sK57,iPr_def_13),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_174721,c_105]) ).
tcf(c_190806,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_174722,c_105]) ).
tcf(c_190807,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_174723,c_105]) ).
tcf(c_190808,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_174724,c_105]) ).
tcf(c_190809,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK60))
| ~ sP4(app(cons(sK57,tl(sK60)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_175806,c_105]) ).
tcf(c_190810,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_183614,c_105]) ).
tcf(c_190811,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_183613,c_105]) ).
tcf(c_190812,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_183612,c_105]) ).
tcf(c_190813,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_13,sK57))
| ~ ssList(sK8(iPr_def_13,sK57))
| ~ sP4(app(iPr_def_13,cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_183611,c_105]) ).
tcf(c_190814,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_10),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_12917,c_105]) ).
tcf(c_190815,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK10(iPr_def_13))
| lt(sK10(iPr_def_13),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_13))
| ~ sP4(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_174042,c_105]) ).
tcf(c_190816,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_174048,c_105]) ).
tcf(c_190817,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(sK60))
| lt(sK50(sK60),X1)
| ( nil = sK60 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ~ sP4(app(app(X0,sK60),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_176051,c_105]) ).
tcf(c_190818,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_176052,c_105]) ).
tcf(c_190819,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_176053,c_105]) ).
tcf(c_190820,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_176061,c_105]) ).
tcf(c_190821,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(sK60))
| lt(hd(sK60),X1)
| ( nil = sK60 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ~ sP4(app(app(X0,sK60),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_176242,c_105]) ).
tcf(c_190822,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_176243,c_105]) ).
tcf(c_190823,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_176244,c_105]) ).
tcf(c_190824,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_10)) ),
inference(superposition,[status(thm)],[c_12917,c_105]) ).
tcf(c_190825,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK10(iPr_def_13))
| lt(sK10(iPr_def_13),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_13))
| ~ sP4(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(superposition,[status(thm)],[c_174042,c_105]) ).
tcf(c_190826,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_174048,c_105]) ).
tcf(c_190827,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(sK60))
| lt(sK50(sK60),X1)
| ( nil = sK60 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ~ sP4(app(app(X0,cons(X1,X2)),sK60)) ),
inference(superposition,[status(thm)],[c_176051,c_105]) ).
tcf(c_190828,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_176052,c_105]) ).
tcf(c_190829,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_176053,c_105]) ).
tcf(c_190830,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_176061,c_105]) ).
tcf(c_190831,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(sK60))
| lt(hd(sK60),X1)
| ( nil = sK60 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ~ sP4(app(app(X0,cons(X1,X2)),sK60)) ),
inference(superposition,[status(thm)],[c_176242,c_105]) ).
tcf(c_190832,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_176243,c_105]) ).
tcf(c_190833,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_176244,c_105]) ).
tcf(c_190834,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_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190824,c_141,c_12925]) ).
tcf(c_190841,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_10),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190814,c_141,c_12925]) ).
tcf(c_190848,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_190808,c_173031,c_141,c_12925]) ).
tcf(c_190854,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_190807,c_173203,c_141,c_12925]) ).
tcf(c_190860,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_190806,c_173202,c_141,c_12925]) ).
tcf(c_190866,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP4(app(cons(sK57,iPr_def_13),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190805,c_172540,c_141,c_12925]) ).
tcf(c_190872,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_190804,c_12924,c_141,c_12925]) ).
tcf(c_190878,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_190803,c_12926,c_141,c_12925]) ).
tcf(c_190884,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP4(app(cons(sK57,sK60),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190802,c_12927,c_141,c_12925]) ).
tcf(c_190890,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_13,sK57))
| ~ ssList(sK8(iPr_def_13,sK57))
| ~ sP4(app(iPr_def_13,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190813,c_12925]) ).
tcf(c_190898,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_190812,c_12925]) ).
tcf(c_190906,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_190811,c_12925]) ).
tcf(c_190914,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_190810,c_12925]) ).
tcf(c_190922,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_190826,c_141]) ).
tcf(c_190930,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK10(iPr_def_13))
| lt(sK10(iPr_def_13),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_13))
| ~ sP4(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190825,c_141]) ).
tcf(c_190938,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_190816,c_141]) ).
tcf(c_190946,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK10(iPr_def_13))
| lt(sK10(iPr_def_13),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_13))
| ~ sP4(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190815,c_141]) ).
tcf(c_190970,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ( nil = sK60 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK60))
| ~ sP4(app(cons(sK57,tl(sK60)),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190809,c_141,c_12925]) ).
tcf(c_191861,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_191862,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_174334,c_81]) ).
tcf(c_191863,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_174333,c_81]) ).
tcf(c_191864,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_174332,c_81]) ).
tcf(c_191865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( app(cons(sK57,sK17(app(app(X2,cons(X0,X3)),cons(X1,X4)))),nil) = cons(sK57,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_173249,c_81]) ).
tcf(c_191866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( app(cons(sK57,sK18(app(app(X2,cons(X0,X3)),cons(X1,X4)))),nil) = cons(sK57,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_173248,c_81]) ).
tcf(c_191867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( app(cons(sK57,sK19(app(app(X2,cons(X0,X3)),cons(X1,X4)))),nil) = cons(sK57,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_173247,c_81]) ).
tcf(c_191868,plain,
! [X0: $i,X1: $i] :
( ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ sP0(app(cons(sK57,sK60),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_174718,c_81]) ).
tcf(c_191869,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_174719,c_81]) ).
tcf(c_191870,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_174720,c_81]) ).
tcf(c_191871,plain,
! [X0: $i,X1: $i] :
( ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ sP0(app(cons(sK57,iPr_def_13),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_174721,c_81]) ).
tcf(c_191872,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_174722,c_81]) ).
tcf(c_191873,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_174723,c_81]) ).
tcf(c_191874,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_174724,c_81]) ).
tcf(c_191875,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK60))
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ sP0(app(cons(sK57,tl(sK60)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_175806,c_81]) ).
tcf(c_191876,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_183614,c_81]) ).
tcf(c_191877,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_183613,c_81]) ).
tcf(c_191878,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_183612,c_81]) ).
tcf(c_191879,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ ssList(sK9(iPr_def_13,sK57))
| ~ ssList(sK8(iPr_def_13,sK57))
| ~ sP0(app(iPr_def_13,cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_183611,c_81]) ).
tcf(c_191880,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_10),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_12917,c_81]) ).
tcf(c_191881,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_13))
| ~ leq(X1,sK10(iPr_def_13))
| ~ leq(sK10(iPr_def_13),X1)
| ~ sP0(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_174042,c_81]) ).
tcf(c_191882,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_174048,c_81]) ).
tcf(c_191883,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK60 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ~ leq(X1,sK50(sK60))
| ~ leq(sK50(sK60),X1)
| ~ sP0(app(app(X0,sK60),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_176051,c_81]) ).
tcf(c_191884,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_176052,c_81]) ).
tcf(c_191885,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_176053,c_81]) ).
tcf(c_191886,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_176061,c_81]) ).
tcf(c_191887,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK60 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ~ leq(X1,hd(sK60))
| ~ leq(hd(sK60),X1)
| ~ sP0(app(app(X0,sK60),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_176242,c_81]) ).
tcf(c_191888,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_176243,c_81]) ).
tcf(c_191889,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_176244,c_81]) ).
tcf(c_191890,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_10)) ),
inference(superposition,[status(thm)],[c_12917,c_81]) ).
tcf(c_191891,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_13))
| ~ leq(X1,sK10(iPr_def_13))
| ~ leq(sK10(iPr_def_13),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(superposition,[status(thm)],[c_174042,c_81]) ).
tcf(c_191892,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_174048,c_81]) ).
tcf(c_191893,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK60 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ~ leq(X1,sK50(sK60))
| ~ leq(sK50(sK60),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),sK60)) ),
inference(superposition,[status(thm)],[c_176051,c_81]) ).
tcf(c_191894,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_176052,c_81]) ).
tcf(c_191895,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_176053,c_81]) ).
tcf(c_191896,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_176061,c_81]) ).
tcf(c_191897,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK60 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ~ leq(X1,hd(sK60))
| ~ leq(hd(sK60),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),sK60)) ),
inference(superposition,[status(thm)],[c_176242,c_81]) ).
tcf(c_191898,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_176243,c_81]) ).
tcf(c_191899,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_176244,c_81]) ).
tcf(c_191900,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_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191890,c_141,c_12925]) ).
tcf(c_191907,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_10),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191880,c_141,c_12925]) ).
tcf(c_191914,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_191874,c_173031,c_141,c_12925]) ).
tcf(c_191920,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_191873,c_173203,c_141,c_12925]) ).
tcf(c_191926,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_191872,c_173202,c_141,c_12925]) ).
tcf(c_191932,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ sP0(app(cons(sK57,iPr_def_13),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191871,c_172540,c_141,c_12925]) ).
tcf(c_191938,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_191870,c_12924,c_141,c_12925]) ).
tcf(c_191944,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_191869,c_12926,c_141,c_12925]) ).
tcf(c_191950,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ sP0(app(cons(sK57,sK60),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191868,c_12927,c_141,c_12925]) ).
tcf(c_191956,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ ssList(sK9(iPr_def_13,sK57))
| ~ ssList(sK8(iPr_def_13,sK57))
| ~ sP0(app(iPr_def_13,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191879,c_12925]) ).
tcf(c_191964,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_191878,c_12925]) ).
tcf(c_191972,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_191877,c_12925]) ).
tcf(c_191980,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_191876,c_12925]) ).
tcf(c_191988,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_191892,c_141]) ).
tcf(c_191996,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_13))
| ~ leq(X1,sK10(iPr_def_13))
| ~ leq(sK10(iPr_def_13),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191891,c_141]) ).
tcf(c_192004,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_191882,c_141]) ).
tcf(c_192012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_13))
| ~ leq(X1,sK10(iPr_def_13))
| ~ leq(sK10(iPr_def_13),X1)
| ~ sP0(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191881,c_141]) ).
tcf(c_192036,plain,
! [X0: $i,X1: $i] :
( ( nil = sK60 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK60))
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ sP0(app(cons(sK57,tl(sK60)),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191875,c_141,c_12925]) ).
tcf(c_195922,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_172857,c_81]) ).
tcf(c_195935,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_172858,c_81]) ).
tcf(c_195948,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_172859,c_81]) ).
tcf(c_196013,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_172860,c_93]) ).
tcf(c_196045,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK19(X0)) = tl(app(sK60,sK19(X0))) ) ),
inference(superposition,[status(thm)],[c_76,c_181004]) ).
tcf(c_196046,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK18(X0)) = tl(app(sK60,sK18(X0))) ) ),
inference(superposition,[status(thm)],[c_77,c_181004]) ).
tcf(c_196047,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK17(X0)) = tl(app(sK60,sK17(X0))) ) ),
inference(superposition,[status(thm)],[c_78,c_181004]) ).
tcf(c_196048,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK24(X0)) = tl(app(sK60,sK24(X0))) ) ),
inference(superposition,[status(thm)],[c_88,c_181004]) ).
tcf(c_196049,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK23(X0)) = tl(app(sK60,sK23(X0))) ) ),
inference(superposition,[status(thm)],[c_89,c_181004]) ).
tcf(c_196050,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK22(X0)) = tl(app(sK60,sK22(X0))) ) ),
inference(superposition,[status(thm)],[c_90,c_181004]) ).
tcf(c_196051,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK29(X0)) = tl(app(sK60,sK29(X0))) ) ),
inference(superposition,[status(thm)],[c_100,c_181004]) ).
tcf(c_196052,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK28(X0)) = tl(app(sK60,sK28(X0))) ) ),
inference(superposition,[status(thm)],[c_101,c_181004]) ).
tcf(c_196053,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK27(X0)) = tl(app(sK60,sK27(X0))) ) ),
inference(superposition,[status(thm)],[c_102,c_181004]) ).
tcf(c_196371,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_172861,c_93]) ).
tcf(c_196384,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_172862,c_93]) ).
tcf(c_196397,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_172863,c_105]) ).
tcf(c_196410,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_172864,c_105]) ).
tcf(c_196445,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_172865,c_105]) ).
tcf(c_196458,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_172942,c_81]) ).
tcf(c_196471,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_172943,c_81]) ).
tcf(c_196484,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_172944,c_81]) ).
tcf(c_196506,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK19(X0)) = tl(app(sK59,sK19(X0))) ) ),
inference(superposition,[status(thm)],[c_76,c_181005]) ).
tcf(c_196507,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK18(X0)) = tl(app(sK59,sK18(X0))) ) ),
inference(superposition,[status(thm)],[c_77,c_181005]) ).
tcf(c_196508,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK17(X0)) = tl(app(sK59,sK17(X0))) ) ),
inference(superposition,[status(thm)],[c_78,c_181005]) ).
tcf(c_196509,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK24(X0)) = tl(app(sK59,sK24(X0))) ) ),
inference(superposition,[status(thm)],[c_88,c_181005]) ).
tcf(c_196510,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK23(X0)) = tl(app(sK59,sK23(X0))) ) ),
inference(superposition,[status(thm)],[c_89,c_181005]) ).
tcf(c_196511,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK22(X0)) = tl(app(sK59,sK22(X0))) ) ),
inference(superposition,[status(thm)],[c_90,c_181005]) ).
tcf(c_196512,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK29(X0)) = tl(app(sK59,sK29(X0))) ) ),
inference(superposition,[status(thm)],[c_100,c_181005]) ).
tcf(c_196513,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK28(X0)) = tl(app(sK59,sK28(X0))) ) ),
inference(superposition,[status(thm)],[c_101,c_181005]) ).
tcf(c_196514,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK27(X0)) = tl(app(sK59,sK27(X0))) ) ),
inference(superposition,[status(thm)],[c_102,c_181005]) ).
tcf(c_196879,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK19(X0)) = tl(app(sK56,sK19(X0))) ) ),
inference(superposition,[status(thm)],[c_76,c_181006]) ).
tcf(c_196880,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK18(X0)) = tl(app(sK56,sK18(X0))) ) ),
inference(superposition,[status(thm)],[c_77,c_181006]) ).
tcf(c_196881,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK17(X0)) = tl(app(sK56,sK17(X0))) ) ),
inference(superposition,[status(thm)],[c_78,c_181006]) ).
tcf(c_196882,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK24(X0)) = tl(app(sK56,sK24(X0))) ) ),
inference(superposition,[status(thm)],[c_88,c_181006]) ).
tcf(c_196883,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK23(X0)) = tl(app(sK56,sK23(X0))) ) ),
inference(superposition,[status(thm)],[c_89,c_181006]) ).
tcf(c_196884,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK22(X0)) = tl(app(sK56,sK22(X0))) ) ),
inference(superposition,[status(thm)],[c_90,c_181006]) ).
tcf(c_196885,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK29(X0)) = tl(app(sK56,sK29(X0))) ) ),
inference(superposition,[status(thm)],[c_100,c_181006]) ).
tcf(c_196886,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK28(X0)) = tl(app(sK56,sK28(X0))) ) ),
inference(superposition,[status(thm)],[c_101,c_181006]) ).
tcf(c_196887,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK27(X0)) = tl(app(sK56,sK27(X0))) ) ),
inference(superposition,[status(thm)],[c_102,c_181006]) ).
tcf(c_197247,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK59))
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ sP0(app(cons(sK57,tl(sK59)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_175852,c_81]) ).
tcf(c_197248,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK59))
| ~ sP4(app(cons(sK57,tl(sK59)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_175852,c_105]) ).
tcf(c_197249,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK59))
| ~ sP2(app(cons(sK57,tl(sK59)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_175852,c_93]) ).
tcf(c_197308,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ( nil = sK59 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK59))
| ~ sP2(app(cons(sK57,tl(sK59)),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197249,c_141,c_12925]) ).
tcf(c_197316,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ( nil = sK59 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK59))
| ~ sP4(app(cons(sK57,tl(sK59)),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197248,c_141,c_12925]) ).
tcf(c_197330,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK59))
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ sP0(app(cons(sK57,tl(sK59)),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197247,c_141,c_12925]) ).
tcf(c_197470,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_172945,c_93]) ).
tcf(c_197483,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_172946,c_93]) ).
tcf(c_197496,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_172947,c_93]) ).
tcf(c_197509,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_172948,c_105]) ).
tcf(c_197522,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_172949,c_105]) ).
tcf(c_197535,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_172950,c_105]) ).
tcf(c_197738,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_182224]) ).
tcf(c_197739,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_182224]) ).
tcf(c_197740,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_182224]) ).
tcf(c_197741,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_182224]) ).
tcf(c_197742,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_182224]) ).
tcf(c_197743,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_182224]) ).
tcf(c_197744,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_182224]) ).
tcf(c_197745,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_182224]) ).
tcf(c_197746,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_182224]) ).
tcf(c_198050,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK19(X0),sK60)) = app(cons(sK57,sK19(X0)),sK60) ) ),
inference(superposition,[status(thm)],[c_76,c_197763]) ).
tcf(c_198051,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK18(X0),sK60)) = app(cons(sK57,sK18(X0)),sK60) ) ),
inference(superposition,[status(thm)],[c_77,c_197763]) ).
tcf(c_198052,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK17(X0),sK60)) = app(cons(sK57,sK17(X0)),sK60) ) ),
inference(superposition,[status(thm)],[c_78,c_197763]) ).
tcf(c_198053,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK24(X0),sK60)) = app(cons(sK57,sK24(X0)),sK60) ) ),
inference(superposition,[status(thm)],[c_88,c_197763]) ).
tcf(c_198054,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK23(X0),sK60)) = app(cons(sK57,sK23(X0)),sK60) ) ),
inference(superposition,[status(thm)],[c_89,c_197763]) ).
tcf(c_198055,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK22(X0),sK60)) = app(cons(sK57,sK22(X0)),sK60) ) ),
inference(superposition,[status(thm)],[c_90,c_197763]) ).
tcf(c_198056,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK29(X0),sK60)) = app(cons(sK57,sK29(X0)),sK60) ) ),
inference(superposition,[status(thm)],[c_100,c_197763]) ).
tcf(c_198057,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK28(X0),sK60)) = app(cons(sK57,sK28(X0)),sK60) ) ),
inference(superposition,[status(thm)],[c_101,c_197763]) ).
tcf(c_198058,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK27(X0),sK60)) = app(cons(sK57,sK27(X0)),sK60) ) ),
inference(superposition,[status(thm)],[c_102,c_197763]) ).
tcf(c_199849,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK6,sK19(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_76,c_174091]) ).
tcf(c_199850,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK6,sK18(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_77,c_174091]) ).
tcf(c_199851,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK6,sK17(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_78,c_174091]) ).
tcf(c_199852,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK6,sK24(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_88,c_174091]) ).
tcf(c_199853,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK6,sK23(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_89,c_174091]) ).
tcf(c_199854,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK6,sK22(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_90,c_174091]) ).
tcf(c_199855,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK6,sK29(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_100,c_174091]) ).
tcf(c_199856,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK6,sK28(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_101,c_174091]) ).
tcf(c_199857,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK6,sK27(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_102,c_174091]) ).
tcf(c_200854,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK7,sK19(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_76,c_174092]) ).
tcf(c_200855,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK7,sK18(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_77,c_174092]) ).
tcf(c_200856,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK7,sK17(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_78,c_174092]) ).
tcf(c_200857,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK7,sK24(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_88,c_174092]) ).
tcf(c_200858,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK7,sK23(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_89,c_174092]) ).
tcf(c_200859,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK7,sK22(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_90,c_174092]) ).
tcf(c_200860,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK7,sK29(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_100,c_174092]) ).
tcf(c_200861,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK7,sK28(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_101,c_174092]) ).
tcf(c_200862,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK7,sK27(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_102,c_174092]) ).
tcf(c_201412,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK19(X0),sK59)) = app(cons(sK57,sK19(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_76,c_197764]) ).
tcf(c_201413,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK18(X0),sK59)) = app(cons(sK57,sK18(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_77,c_197764]) ).
tcf(c_201414,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK17(X0),sK59)) = app(cons(sK57,sK17(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_78,c_197764]) ).
tcf(c_201415,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK24(X0),sK59)) = app(cons(sK57,sK24(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_88,c_197764]) ).
tcf(c_201416,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK23(X0),sK59)) = app(cons(sK57,sK23(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_89,c_197764]) ).
tcf(c_201417,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK22(X0),sK59)) = app(cons(sK57,sK22(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_90,c_197764]) ).
tcf(c_201418,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK29(X0),sK59)) = app(cons(sK57,sK29(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_100,c_197764]) ).
tcf(c_201419,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK28(X0),sK59)) = app(cons(sK57,sK28(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_101,c_197764]) ).
tcf(c_201420,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK27(X0),sK59)) = app(cons(sK57,sK27(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_102,c_197764]) ).
tcf(c_203546,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK6,sK19(X0))) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_174212]) ).
tcf(c_203547,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK6,sK18(X0))) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_174212]) ).
tcf(c_203548,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK6,sK17(X0))) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_174212]) ).
tcf(c_203549,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK6,sK24(X0))) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_174212]) ).
tcf(c_203550,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK6,sK23(X0))) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_174212]) ).
tcf(c_203551,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK6,sK22(X0))) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_174212]) ).
tcf(c_203552,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK6,sK29(X0))) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_174212]) ).
tcf(c_203553,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK6,sK28(X0))) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_174212]) ).
tcf(c_203554,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK6,sK27(X0))) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_174212]) ).
tcf(c_204176,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK19(X0),sK56)) = app(cons(sK57,sK19(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_76,c_197765]) ).
tcf(c_204177,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK18(X0),sK56)) = app(cons(sK57,sK18(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_77,c_197765]) ).
tcf(c_204178,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK17(X0),sK56)) = app(cons(sK57,sK17(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_78,c_197765]) ).
tcf(c_204179,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK24(X0),sK56)) = app(cons(sK57,sK24(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_88,c_197765]) ).
tcf(c_204180,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK23(X0),sK56)) = app(cons(sK57,sK23(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_89,c_197765]) ).
tcf(c_204181,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK22(X0),sK56)) = app(cons(sK57,sK22(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_90,c_197765]) ).
tcf(c_204182,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK29(X0),sK56)) = app(cons(sK57,sK29(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_100,c_197765]) ).
tcf(c_204183,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK28(X0),sK56)) = app(cons(sK57,sK28(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_101,c_197765]) ).
tcf(c_204184,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK27(X0),sK56)) = app(cons(sK57,sK27(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_102,c_197765]) ).
tcf(c_204687,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK7,sK19(X0))) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_174213]) ).
tcf(c_204688,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK7,sK18(X0))) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_174213]) ).
tcf(c_204689,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK7,sK17(X0))) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_174213]) ).
tcf(c_204690,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK7,sK24(X0))) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_174213]) ).
tcf(c_204691,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK7,sK23(X0))) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_174213]) ).
tcf(c_204692,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK7,sK22(X0))) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_174213]) ).
tcf(c_204693,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK7,sK29(X0))) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_174213]) ).
tcf(c_204694,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK7,sK28(X0))) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_174213]) ).
tcf(c_204695,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK7,sK27(X0))) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_174213]) ).
tcf(c_205502,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_174337,c_93]) ).
tcf(c_205527,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_174338,c_105]) ).
tcf(c_205540,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_174339,c_105]) ).
tcf(c_205553,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_174340,c_105]) ).
tcf(c_206849,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK56))
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ sP0(app(cons(sK57,tl(sK56)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_175898,c_81]) ).
tcf(c_206850,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK56))
| ~ sP4(app(cons(sK57,tl(sK56)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_175898,c_105]) ).
tcf(c_206851,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK56))
| ~ sP2(app(cons(sK57,tl(sK56)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_175898,c_93]) ).
tcf(c_206910,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ( nil = sK56 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK56))
| ~ sP2(app(cons(sK57,tl(sK56)),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206851,c_141,c_12925]) ).
tcf(c_206918,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ( nil = sK56 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK56))
| ~ sP4(app(cons(sK57,tl(sK56)),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206850,c_141,c_12925]) ).
tcf(c_206932,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK56))
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ sP0(app(cons(sK57,tl(sK56)),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206849,c_141,c_12925]) ).
tcf(c_210521,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(app(iPr_def_10,sK19(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_76,c_179275]) ).
tcf(c_210522,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(app(iPr_def_10,sK18(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_77,c_179275]) ).
tcf(c_210523,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(app(iPr_def_10,sK17(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_78,c_179275]) ).
tcf(c_210524,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(app(iPr_def_10,sK24(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_88,c_179275]) ).
tcf(c_210525,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(app(iPr_def_10,sK23(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_89,c_179275]) ).
tcf(c_210526,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(app(iPr_def_10,sK22(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_90,c_179275]) ).
tcf(c_210527,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(app(iPr_def_10,sK29(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_100,c_179275]) ).
tcf(c_210528,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(app(iPr_def_10,sK28(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_101,c_179275]) ).
tcf(c_210529,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(app(iPr_def_10,sK27(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_102,c_179275]) ).
tcf(c_212288,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ leq(X1,sK50(iPr_def_13))
| ~ leq(sK50(iPr_def_13),X1)
| ~ sP0(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_212282,c_81]) ).
tcf(c_212289,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(iPr_def_13))
| lt(sK50(iPr_def_13),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ sP4(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_212282,c_105]) ).
tcf(c_212290,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(iPr_def_13))
| leq(sK50(iPr_def_13),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ sP2(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_212282,c_93]) ).
tcf(c_212294,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ leq(X1,sK50(iPr_def_13))
| ~ leq(sK50(iPr_def_13),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(superposition,[status(thm)],[c_212282,c_81]) ).
tcf(c_212295,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(iPr_def_13))
| lt(sK50(iPr_def_13),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ sP4(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(superposition,[status(thm)],[c_212282,c_105]) ).
tcf(c_212296,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(iPr_def_13))
| leq(sK50(iPr_def_13),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ~ sP2(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(superposition,[status(thm)],[c_212282,c_93]) ).
tcf(c_213269,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_213263,c_81]) ).
tcf(c_213270,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_213263,c_105]) ).
tcf(c_213271,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_213263,c_93]) ).
tcf(c_213275,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_213263,c_81]) ).
tcf(c_213276,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_213263,c_105]) ).
tcf(c_213277,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_213263,c_93]) ).
tcf(c_214010,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_214004,c_81]) ).
tcf(c_214011,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_214004,c_105]) ).
tcf(c_214012,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_214004,c_93]) ).
tcf(c_214016,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_214004,c_81]) ).
tcf(c_214017,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_214004,c_105]) ).
tcf(c_214018,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_214004,c_93]) ).
tcf(c_215035,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60)))
| ~ leq(X1,sK50(tl(sK60)))
| ~ leq(sK50(tl(sK60)),X1)
| ~ sP0(app(app(X0,tl(sK60)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_176058,c_81]) ).
tcf(c_215036,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(tl(sK60)))
| lt(sK50(tl(sK60)),X1)
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60)))
| ~ sP4(app(app(X0,tl(sK60)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_176058,c_105]) ).
tcf(c_215037,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(tl(sK60)))
| leq(sK50(tl(sK60)),X1)
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60)))
| ~ sP2(app(app(X0,tl(sK60)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_176058,c_93]) ).
tcf(c_215041,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60)))
| ~ leq(X1,sK50(tl(sK60)))
| ~ leq(sK50(tl(sK60)),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),tl(sK60))) ),
inference(superposition,[status(thm)],[c_176058,c_81]) ).
tcf(c_215042,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(tl(sK60)))
| lt(sK50(tl(sK60)),X1)
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60)))
| ~ sP4(app(app(X0,cons(X1,X2)),tl(sK60))) ),
inference(superposition,[status(thm)],[c_176058,c_105]) ).
tcf(c_215043,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(tl(sK60)))
| leq(sK50(tl(sK60)),X1)
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60)))
| ~ sP2(app(app(X0,cons(X1,X2)),tl(sK60))) ),
inference(superposition,[status(thm)],[c_176058,c_93]) ).
tcf(c_216214,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_176059,c_81]) ).
tcf(c_216215,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_176059,c_105]) ).
tcf(c_216216,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_176059,c_93]) ).
tcf(c_216220,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_176059,c_81]) ).
tcf(c_216221,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_176059,c_105]) ).
tcf(c_216222,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_176059,c_93]) ).
tcf(c_217199,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_176060,c_81]) ).
tcf(c_217200,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_176060,c_105]) ).
tcf(c_217201,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_176060,c_93]) ).
tcf(c_217205,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_176060,c_81]) ).
tcf(c_217206,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_176060,c_105]) ).
tcf(c_217207,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_176060,c_93]) ).
tcf(c_218301,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ leq(X1,hd(iPr_def_13))
| ~ leq(hd(iPr_def_13),X1)
| ~ sP0(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_218295,c_81]) ).
tcf(c_218302,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_13))
| lt(hd(iPr_def_13),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ sP4(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_218295,c_105]) ).
tcf(c_218303,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_13))
| leq(hd(iPr_def_13),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ sP2(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_218295,c_93]) ).
tcf(c_218307,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ leq(X1,hd(iPr_def_13))
| ~ leq(hd(iPr_def_13),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218295,c_81]) ).
tcf(c_218308,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_13))
| lt(hd(iPr_def_13),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ sP4(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218295,c_105]) ).
tcf(c_218309,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_13))
| leq(hd(iPr_def_13),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ sP2(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(superposition,[status(thm)],[c_218295,c_93]) ).
tcf(c_218417,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_13))
| leq(hd(iPr_def_13),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP2(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218309,c_182143,c_179676]) ).
tcf(c_218424,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_13))
| lt(hd(iPr_def_13),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP4(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218308,c_182143,c_179676]) ).
tcf(c_218431,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_13))
| leq(hd(iPr_def_13),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP2(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218303,c_182143,c_179676]) ).
tcf(c_218438,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_13))
| lt(hd(iPr_def_13),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP4(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218302,c_182143,c_179676]) ).
tcf(c_218445,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ leq(X1,hd(iPr_def_13))
| ~ leq(hd(iPr_def_13),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218307,c_182143,c_179676]) ).
tcf(c_218452,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ leq(X1,hd(iPr_def_13))
| ~ leq(hd(iPr_def_13),X1)
| ~ sP0(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218301,c_182143,c_179676]) ).
tcf(c_219133,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ~ leq(X1,hd(iPr_def_11))
| ~ leq(hd(iPr_def_11),X1)
| ~ sP0(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_219127,c_81]) ).
tcf(c_219134,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_11))
| lt(hd(iPr_def_11),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ~ sP4(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_219127,c_105]) ).
tcf(c_219135,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_11))
| leq(hd(iPr_def_11),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ~ sP2(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_219127,c_93]) ).
tcf(c_219139,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ~ leq(X1,hd(iPr_def_11))
| ~ leq(hd(iPr_def_11),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(superposition,[status(thm)],[c_219127,c_81]) ).
tcf(c_219140,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_11))
| lt(hd(iPr_def_11),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ~ sP4(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(superposition,[status(thm)],[c_219127,c_105]) ).
tcf(c_219141,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_11))
| leq(hd(iPr_def_11),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ~ sP2(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(superposition,[status(thm)],[c_219127,c_93]) ).
tcf(c_219253,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_11))
| leq(hd(iPr_def_11),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP2(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219141,c_182940,c_180254]) ).
tcf(c_219260,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_11))
| lt(hd(iPr_def_11),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP4(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219140,c_182940,c_180254]) ).
tcf(c_219267,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_11))
| leq(hd(iPr_def_11),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP2(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219135,c_182940,c_180254]) ).
tcf(c_219274,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_11))
| lt(hd(iPr_def_11),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP4(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219134,c_182940,c_180254]) ).
tcf(c_219281,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ leq(X1,hd(iPr_def_11))
| ~ leq(hd(iPr_def_11),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219139,c_182940,c_180254]) ).
tcf(c_219288,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ leq(X1,hd(iPr_def_11))
| ~ leq(hd(iPr_def_11),X1)
| ~ sP0(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219133,c_182940,c_180254]) ).
tcf(c_220036,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_220030,c_81]) ).
tcf(c_220037,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_220030,c_105]) ).
tcf(c_220038,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_220030,c_93]) ).
tcf(c_220042,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_220030,c_81]) ).
tcf(c_220043,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_220030,c_105]) ).
tcf(c_220044,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_220030,c_93]) ).
tcf(c_220156,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_220044,c_184135,c_180623]) ).
tcf(c_220163,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_220043,c_184135,c_180623]) ).
tcf(c_220170,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_220038,c_184135,c_180623]) ).
tcf(c_220177,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_220037,c_184135,c_180623]) ).
tcf(c_220184,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_220042,c_184135,c_180623]) ).
tcf(c_220191,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_220036,c_184135,c_180623]) ).
tcf(c_221859,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60)))
| ~ leq(X1,hd(tl(sK60)))
| ~ leq(hd(tl(sK60)),X1)
| ~ sP0(app(app(X0,tl(sK60)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_176249,c_81]) ).
tcf(c_221860,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(tl(sK60)))
| lt(hd(tl(sK60)),X1)
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60)))
| ~ sP4(app(app(X0,tl(sK60)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_176249,c_105]) ).
tcf(c_221861,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(tl(sK60)))
| leq(hd(tl(sK60)),X1)
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60)))
| ~ sP2(app(app(X0,tl(sK60)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_176249,c_93]) ).
tcf(c_221865,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60)))
| ~ leq(X1,hd(tl(sK60)))
| ~ leq(hd(tl(sK60)),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),tl(sK60))) ),
inference(superposition,[status(thm)],[c_176249,c_81]) ).
tcf(c_221866,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(tl(sK60)))
| lt(hd(tl(sK60)),X1)
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60)))
| ~ sP4(app(app(X0,cons(X1,X2)),tl(sK60))) ),
inference(superposition,[status(thm)],[c_176249,c_105]) ).
tcf(c_221867,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(tl(sK60)))
| leq(hd(tl(sK60)),X1)
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60)))
| ~ sP2(app(app(X0,cons(X1,X2)),tl(sK60))) ),
inference(superposition,[status(thm)],[c_176249,c_93]) ).
tcf(c_222703,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_176250,c_81]) ).
tcf(c_222704,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_176250,c_105]) ).
tcf(c_222705,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_176250,c_93]) ).
tcf(c_222709,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_176250,c_81]) ).
tcf(c_222710,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_176250,c_105]) ).
tcf(c_222711,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_176250,c_93]) ).
tcf(c_223668,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_176251,c_81]) ).
tcf(c_223669,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_176251,c_105]) ).
tcf(c_223670,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_176251,c_93]) ).
tcf(c_223674,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_176251,c_81]) ).
tcf(c_223675,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_176251,c_105]) ).
tcf(c_223676,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_176251,c_93]) ).
tcf(c_224116,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_199849,c_81]) ).
tcf(c_224519,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_199850,c_81]) ).
tcf(c_224532,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_199851,c_81]) ).
tcf(c_224545,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_199852,c_93]) ).
tcf(c_224558,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_199853,c_93]) ).
tcf(c_225378,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_199854,c_93]) ).
tcf(c_225391,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_199855,c_105]) ).
tcf(c_225404,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_199856,c_105]) ).
tcf(c_225675,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_199857,c_105]) ).
tcf(c_225688,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_200854,c_81]) ).
tcf(c_225701,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_200855,c_81]) ).
tcf(c_225714,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_200856,c_81]) ).
tcf(c_226062,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_200857,c_93]) ).
tcf(c_226075,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_200858,c_93]) ).
tcf(c_226088,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_200859,c_93]) ).
tcf(c_226101,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_200860,c_105]) ).
tcf(c_226489,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_200861,c_105]) ).
tcf(c_226502,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_200862,c_105]) ).
tcf(c_226515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hd(app(iPr_def_10,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_210521,c_81]) ).
tcf(c_226528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hd(app(iPr_def_10,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_210522,c_81]) ).
tcf(c_226890,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( app(app(sK19(X1),X0),sK60) = app(sK19(X1),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_76,c_183167]) ).
tcf(c_226891,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( app(app(sK18(X1),X0),sK60) = app(sK18(X1),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_77,c_183167]) ).
tcf(c_226892,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( app(app(sK17(X1),X0),sK60) = app(sK17(X1),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_78,c_183167]) ).
tcf(c_226893,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( app(app(sK24(X1),X0),sK60) = app(sK24(X1),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_88,c_183167]) ).
tcf(c_226894,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( app(app(sK23(X1),X0),sK60) = app(sK23(X1),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89,c_183167]) ).
tcf(c_226895,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( app(app(sK22(X1),X0),sK60) = app(sK22(X1),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_90,c_183167]) ).
tcf(c_226896,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( app(app(sK29(X1),X0),sK60) = app(sK29(X1),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_100,c_183167]) ).
tcf(c_226897,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( app(app(sK28(X1),X0),sK60) = app(sK28(X1),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_101,c_183167]) ).
tcf(c_226898,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( app(app(sK27(X1),X0),sK60) = app(sK27(X1),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_102,c_183167]) ).
tcf(c_227204,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK60,sK19(X0)),sK60) = app(sK60,app(sK19(X0),sK60)) ) ),
inference(superposition,[status(thm)],[c_76,c_226915]) ).
tcf(c_227205,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK60,sK18(X0)),sK60) = app(sK60,app(sK18(X0),sK60)) ) ),
inference(superposition,[status(thm)],[c_77,c_226915]) ).
tcf(c_227206,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK60,sK17(X0)),sK60) = app(sK60,app(sK17(X0),sK60)) ) ),
inference(superposition,[status(thm)],[c_78,c_226915]) ).
tcf(c_227207,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK60,sK24(X0)),sK60) = app(sK60,app(sK24(X0),sK60)) ) ),
inference(superposition,[status(thm)],[c_88,c_226915]) ).
tcf(c_227208,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK60,sK23(X0)),sK60) = app(sK60,app(sK23(X0),sK60)) ) ),
inference(superposition,[status(thm)],[c_89,c_226915]) ).
tcf(c_227209,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK60,sK22(X0)),sK60) = app(sK60,app(sK22(X0),sK60)) ) ),
inference(superposition,[status(thm)],[c_90,c_226915]) ).
tcf(c_227210,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK60,sK29(X0)),sK60) = app(sK60,app(sK29(X0),sK60)) ) ),
inference(superposition,[status(thm)],[c_100,c_226915]) ).
tcf(c_227211,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK60,sK28(X0)),sK60) = app(sK60,app(sK28(X0),sK60)) ) ),
inference(superposition,[status(thm)],[c_101,c_226915]) ).
tcf(c_227212,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK60,sK27(X0)),sK60) = app(sK60,app(sK27(X0),sK60)) ) ),
inference(superposition,[status(thm)],[c_102,c_226915]) ).
tcf(c_228415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hd(app(iPr_def_10,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_210523,c_81]) ).
tcf(c_228428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( hd(app(iPr_def_10,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_210524,c_93]) ).
tcf(c_228446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( hd(app(iPr_def_10,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_210525,c_93]) ).
tcf(c_228459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( hd(app(iPr_def_10,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_210526,c_93]) ).
tcf(c_228731,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_225988,c_225594,c_216920,c_211341,c_211335,c_211326,c_211322,c_211318,c_211307,c_211306,c_211244,c_211238,c_211229,c_211225,c_211221,c_211210,c_211209,c_210506,c_210503,c_210502,c_210501,c_210498,c_209498,c_209492,c_209483,c_209479,c_209475,c_209464,c_209463,c_208535,c_208532,c_208531,c_208530,c_208527,c_207739,c_207736,c_207735,c_207734,c_207731,c_207294,c_207111,c_207108,c_207107,c_206598,c_206595,c_206341,c_206338,c_206329,c_206326,c_206280,c_206277,c_205819,c_205813,c_205808,c_205802,c_205796,c_205791,c_205786,c_205782,c_205777,c_205772,c_205768,c_205762,c_205759,c_205756,c_205628,c_205591,c_205268,c_205262,c_205257,c_205251,c_205245,c_205240,c_205235,c_205231,c_205226,c_205221,c_205217,c_205211,c_205208,c_205205,c_204094,c_204091,c_203962,c_203959,c_202535,c_202529,c_202524,c_202518,c_202512,c_202507,c_202502,c_202498,c_202493,c_202488,c_202484,c_202478,c_202475,c_202472,c_201267,c_201264,c_200533,c_200530,c_199020,c_199017,c_199016,c_199015,c_199012,c_199008,c_199005,c_199004,c_199003,c_199000,c_198996,c_198993,c_198992,c_198991,c_198988,c_198984,c_198981,c_198980,c_198979,c_198976,c_197590,c_197587,c_197586,c_197585,c_197582,c_197552,c_197549,c_197548,c_197547,c_197544,c_191193,c_190311,c_190310,c_195898,c_216921,c_195893,c_196030,c_196025,c_195903,c_207106,c_207103,c_178173,c_195801,c_195878,c_195805,c_195803,c_195789,c_195787,c_195785,c_195526,c_195525,c_195524,c_195523,c_185686,c_185685,c_187814,c_181468,c_180231,c_185668,c_185663,c_185658,c_184127,c_179657,c_184122,c_228459,c_228446,c_228428,c_228415,c_226528,c_226515,c_226502,c_226489,c_226101,c_182932,c_227888,c_227887,c_227886,c_227885,c_227884,c_227883,c_227882,c_227881,c_227880,c_227879,c_227878,c_227877,c_227876,c_227875,c_227874,c_227873,c_227872,c_227871,c_227870,c_227869,c_227868,c_227867,c_227866,c_227865,c_227864,c_227863,c_227860,c_227862,c_227861,c_227858,c_227859,c_227857,c_227856,c_227855,c_227854,c_227853,c_226088,c_226075,c_226062,c_225714,c_225701,c_225688,c_225675,c_225404,c_227729,c_227728,c_227723,c_227718,c_227712,c_227706,c_227701,c_227696,c_227692,c_227687,c_227682,c_227675,c_227666,c_227663,c_227662,c_227658,c_227655,c_227652,c_227651,c_227650,c_227649,c_227648,c_227647,c_227646,c_227645,c_227644,c_227643,c_227641,c_227639,c_227638,c_227637,c_227636,c_227635,c_227634,c_227640,c_227642,c_227631,c_227259,c_227258,c_227257,c_227255,c_227254,c_227253,c_227252,c_227251,c_227250,c_227249,c_227248,c_227247,c_227246,c_227245,c_227244,c_227243,c_227242,c_227241,c_227240,c_227239,c_227238,c_227237,c_227236,c_227235,c_227234,c_227233,c_227232,c_227231,c_227230,c_227229,c_227228,c_227227,c_227226,c_227225,c_227224,c_227223,c_227222,c_227221,c_227220,c_227219,c_227218,c_227217,c_227216,c_227215,c_227214,c_227213,c_227212,c_227211,c_227210,c_227209,c_227208,c_227207,c_227206,c_227205,c_227204,c_227203,c_227202,c_227201,c_227200,c_227199,c_227198,c_227197,c_226939,c_226938,c_226937,c_226936,c_226935,c_226934,c_226933,c_226932,c_226931,c_226930,c_226929,c_226928,c_226927,c_226926,c_226925,c_226924,c_226923,c_226922,c_226921,c_226920,c_226919,c_226918,c_226917,c_226916,c_226915,c_226914,c_226913,c_226912,c_226911,c_226910,c_226909,c_226908,c_226907,c_226906,c_226905,c_226904,c_226903,c_226902,c_226901,c_226900,c_226899,c_226898,c_226897,c_226896,c_226895,c_226894,c_226893,c_226892,c_226891,c_226890,c_226889,c_226888,c_226887,c_226886,c_226885,c_226884,c_226883,c_225391,c_225378,c_224558,c_224545,c_178329,c_224532,c_224519,c_226405,c_226361,c_226360,c_226359,c_226353,c_226351,c_226350,c_226349,c_226355,c_226356,c_226346,c_226344,c_226338,c_226294,c_226293,c_226292,c_226286,c_226284,c_226283,c_226282,c_226288,c_226289,c_226279,c_226277,c_226645,c_226587,c_226586,c_226585,c_226584,c_226583,c_226582,c_226577,c_226576,c_226575,c_226574,c_226573,c_226579,c_226581,c_226570,c_217882,c_217824,c_217823,c_217822,c_217821,c_217820,c_217819,c_217814,c_217813,c_217812,c_217811,c_217810,c_217816,c_217818,c_217807,c_228477,c_228474,c_226565,c_226561,c_226557,c_226556,c_226555,c_226554,c_226551,c_224116,c_217802,c_217798,c_217797,c_217796,c_217795,c_226233,c_226189,c_226188,c_226187,c_226181,c_226179,c_226178,c_226177,c_226183,c_226184,c_226174,c_226172,c_225240,c_225239,c_225234,c_225233,c_225232,c_225231,c_225237,c_225238,c_225228,c_225226,c_224983,c_224982,c_224977,c_224976,c_224975,c_224974,c_224980,c_224981,c_224971,c_224969,c_224927,c_224926,c_224921,c_224920,c_224919,c_224918,c_224924,c_224925,c_224915,c_224913,c_217794,c_217791,c_216947,c_216941,c_216935,c_216931,c_216930,c_216929,c_216928,c_223407,c_223406,c_223400,c_223395,c_223390,c_223384,c_223379,c_223374,c_223370,c_223357,c_223356,c_223355,c_223354,c_223352,c_223350,c_223349,c_223348,c_223345,c_223343,c_223341,c_223347,c_223351,c_223338,c_223297,c_223296,c_223291,c_223286,c_223280,c_223274,c_223269,c_223265,c_223252,c_223251,c_223250,c_223249,c_223247,c_223246,c_223245,c_223244,c_223239,c_223237,c_223236,c_223242,c_223243,c_223233,c_217003,c_217002,c_217001,c_216974,c_216973,c_216972,c_216162,c_216161,c_216155,c_216150,c_216145,c_216139,c_216134,c_216129,c_216125,c_216120,c_216115,c_216108,c_216104,c_216101,c_216090,c_216087,c_216086,c_216085,c_216084,c_216083,c_216082,c_216081,c_216080,c_216079,c_216078,c_216075,c_216074,c_216073,c_216072,c_216071,c_216070,c_216076,c_216077,c_216067,c_216065,c_220014,c_220013,c_220012,c_222248,c_222247,c_222241,c_222236,c_222231,c_222225,c_222220,c_222215,c_222211,c_222198,c_222197,c_222196,c_222195,c_222193,c_222191,c_222190,c_222189,c_222186,c_222184,c_222182,c_222188,c_222192,c_222179,c_220546,c_220545,c_220540,c_220535,c_220529,c_220523,c_220518,c_220514,c_220501,c_220500,c_220499,c_220498,c_220496,c_220495,c_220494,c_220493,c_220488,c_220486,c_220485,c_220491,c_220492,c_220482,c_228385,c_228384,c_228383,c_219985,c_219984,c_219983,c_219074,c_219073,c_219067,c_219062,c_219057,c_219051,c_219046,c_219041,c_219037,c_219032,c_219027,c_219020,c_219016,c_219013,c_219002,c_218999,c_218998,c_218997,c_218996,c_218995,c_218994,c_218993,c_218992,c_218991,c_218990,c_218987,c_218986,c_218985,c_218984,c_218983,c_218982,c_218988,c_218989,c_218979,c_218977,c_224897,c_224896,c_224895,c_215766,c_215765,c_215764,c_215742,c_215741,c_215740,c_219619,c_219618,c_219612,c_219607,c_219602,c_219596,c_219591,c_219586,c_219582,c_219569,c_219568,c_219567,c_219566,c_219564,c_219562,c_219561,c_219560,c_219557,c_219555,c_219553,c_219559,c_219563,c_219550,c_217722,c_217721,c_217716,c_217711,c_217705,c_217699,c_217694,c_217690,c_217677,c_217676,c_217675,c_217674,c_217672,c_217671,c_217670,c_217669,c_217664,c_217662,c_217661,c_217667,c_217668,c_217658,c_226437,c_226436,c_226435,c_224422,c_224421,c_224420,c_222688,c_222687,c_222681,c_222676,c_222671,c_222665,c_222660,c_222655,c_222651,c_222646,c_222641,c_222634,c_222630,c_222627,c_222616,c_222613,c_222612,c_222611,c_222610,c_222609,c_222608,c_222607,c_222606,c_222605,c_222604,c_222601,c_222600,c_222599,c_222598,c_222597,c_222596,c_222602,c_222603,c_222593,c_222591,c_222575,c_222574,c_222573,c_222546,c_222545,c_222544,c_215718,c_215717,c_215716,c_225427,c_225423,c_225420,c_225419,c_225418,c_225417,c_224668,c_224664,c_224661,c_224660,c_224659,c_224658,c_216890,c_216887,c_216886,c_216885,c_216884,c_226000,c_225999,c_225998,c_224649,c_224645,c_224642,c_224639,c_224638,c_224637,c_224600,c_224597,c_224594,c_224592,c_224591,c_224590,c_224581,c_224577,c_224574,c_224573,c_224572,c_224571,c_224234,c_224230,c_224227,c_224223,c_224222,c_224221,c_216875,c_216872,c_216867,c_216866,c_216865,c_216864,c_216863,c_216792,c_216789,c_216786,c_216785,c_216784,c_216783,c_225648,c_225647,c_225646,c_221726,c_221725,c_221719,c_221714,c_221709,c_221703,c_221698,c_221693,c_221689,c_221684,c_221679,c_221669,c_221665,c_221662,c_221651,c_221648,c_221647,c_221646,c_221645,c_221644,c_221643,c_221642,c_221641,c_221640,c_221639,c_221638,c_221635,c_221634,c_221633,c_221632,c_221631,c_221630,c_221636,c_221637,c_221627,c_221625,c_224212,c_224208,c_224205,c_224204,c_224203,c_224202,c_226137,c_226134,c_226132,c_226131,c_226130,c_226115,c_226113,c_226112,c_226111,c_226110,c_216774,c_216771,c_216770,c_216769,c_216768,c_215623,c_215620,c_215619,c_215618,c_215617,c_215563,c_215560,c_215555,c_215554,c_215553,c_215552,c_215551,c_225339,c_225338,c_225337,c_226129,c_226126,c_226124,c_226123,c_226122,c_225991,c_226162,c_225986,c_225985,c_225984,c_225918,c_225913,c_225907,c_225906,c_225905,c_225904,c_225903,c_225902,c_225901,c_225900,c_225899,c_225898,c_225897,c_225896,c_225895,c_225894,c_225893,c_225892,c_225860,c_225855,c_225849,c_225848,c_225847,c_225846,c_225836,c_225831,c_225825,c_225824,c_225823,c_225822,c_225812,c_225807,c_225801,c_225800,c_225799,c_225798,c_225770,c_225766,c_225762,c_225758,c_225757,c_225756,c_225755,c_225754,c_225753,c_225752,c_225751,c_224193,c_224189,c_224186,c_224185,c_224184,c_224183,c_224139,c_224135,c_224132,c_224131,c_224130,c_224129,c_223571,c_223568,c_223565,c_223562,c_223561,c_223560,c_223551,c_223547,c_223544,c_223542,c_223541,c_223540,c_215463,c_215460,c_215457,c_215456,c_215455,c_215454,c_215446,c_215430,c_215429,c_215428,c_215427,c_215426,c_215425,c_215424,c_215423,c_215422,c_215419,c_214525,c_214522,c_214521,c_214520,c_214498,c_214495,c_214494,c_214493,c_224455,c_224454,c_224453,c_223478,c_223474,c_223471,c_223470,c_223469,c_223468,c_223455,c_223451,c_223448,c_223444,c_223443,c_223442,c_222508,c_222504,c_222501,c_222500,c_222499,c_222498,c_220626,c_220622,c_220619,c_220618,c_220617,c_220616,c_214484,c_214481,c_214476,c_214475,c_214474,c_214473,c_214437,c_214434,c_214431,c_214430,c_214429,c_213739,c_213736,c_213735,c_213734,c_213733,c_223702,c_223701,c_223700,c_223698,c_223697,c_223695,c_223694,c_223693,c_223692,c_223691,c_223690,c_223689,c_223686,c_223685,c_223684,c_223683,c_223682,c_223681,c_223680,c_223688,c_223687,c_223677,c_223676,c_223675,c_223674,c_223673,c_223672,c_223671,c_223670,c_223669,c_223668,c_223667,c_223666,c_223665,c_223664,c_221609,c_221608,c_221607,c_221344,c_221343,c_221342,c_220607,c_22060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c_173799,c_173798,c_173797,c_173796,c_173795,c_173794,c_173793,c_173791,c_173790,c_173789,c_173788,c_173787,c_173786,c_173785,c_173784,c_173783,c_173782,c_173781,c_173780,c_173779,c_173778,c_173777,c_173776,c_173775,c_173774,c_173773,c_173772,c_173771,c_173770,c_173769,c_173760,c_173757,c_173754,c_173751,c_173748,c_173745,c_173742,c_173741,c_173740,c_173739,c_173738,c_173737,c_173736,c_173735,c_173734,c_173733,c_173732,c_173731,c_173730,c_173729,c_173728,c_173727,c_173726,c_173725,c_173724,c_173723,c_173722,c_173721,c_173720,c_173719,c_173718,c_173717,c_173716,c_173715,c_173714,c_173713,c_173712,c_173711,c_173710,c_173709,c_173708,c_173707,c_173706,c_173705,c_173704,c_173703,c_173702,c_173701,c_173594,c_173593,c_173592,c_173591,c_173590,c_173589,c_173588,c_173587,c_173586,c_173585,c_173584,c_173583,c_173582,c_173581,c_173580,c_173579,c_173578,c_173577,c_173576,c_173575,c_173574,c_173408,c_173407,c_173406,c_173405,c_173404,c_173403,c_173402,c_173401,c_173400,c_173398,c_173397,c_173396,c_173395,c_173394,c_173393,c_173392,c_173391,c_173390,c_173389,c_173388,c_173387,c_173386,c_173385,c_173384,c_173383,c_173382,c_173381,c_173380,c_173379,c_173378,c_173377,c_173376,c_173278,c_173277,c_173276,c_173275,c_173274,c_173273,c_173272,c_173271,c_173270,c_173269,c_173268,c_173267,c_173266,c_173265,c_173264,c_173263,c_173262,c_173261,c_173260,c_173259,c_173258,c_173257,c_173256,c_173255,c_173254,c_173253,c_173252,c_173251,c_173250,c_173249,c_173248,c_173247,c_173246,c_173245,c_173238,c_173237,c_173236,c_173235,c_173228,c_173227,c_173216,c_172722,c_172720,c_173203,c_173202,c_173198,c_173197,c_173185,c_173184,c_173170,c_173169,c_173094,c_173093,c_173092,c_173091,c_173090,c_173089,c_173088,c_173087,c_173086,c_173085,c_173084,c_173083,c_173082,c_173081,c_173080,c_173079,c_173078,c_173077,c_173076,c_173075,c_173062,c_173061,c_173060,c_173059,c_173058,c_173045,c_173044,c_173031,c_173030,c_173029,c_173028,c_172966,c_172965,c_172964,c_172963,c_172961,c_172960,c_172959,c_172958,c_172957,c_172956,c_172955,c_172954,c_172953,c_172952,c_172951,c_172950,c_172949,c_172948,c_172947,c_172946,c_172945,c_172944,c_172943,c_172942,c_172941,c_172881,c_172880,c_172879,c_172878,c_172876,c_172875,c_172874,c_172873,c_172872,c_172871,c_172870,c_172869,c_172868,c_172867,c_172866,c_172865,c_172864,c_172863,c_172862,c_172861,c_172860,c_172859,c_172858,c_172857,c_172856,c_172717,c_172716,c_172712,c_172711,c_172710,c_172683,c_172682,c_172674,c_172673,c_172672,c_172661,c_172660,c_172655,c_172654,c_172649,c_172648,c_172541,c_172540,c_12921,c_12920,c_12919,c_12918,c_12917,c_190801,c_190307,c_191861,c_12922,c_174040,c_3149,c_3136,c_3124,c_3111,c_3099,c_3086,c_378,c_375,c_369,c_367,c_365,c_363,c_12923,c_12924,c_12925,c_12926,c_12927,c_12928,c_245,c_244,c_243,c_241,c_239,c_242,c_237,c_236,c_235,c_234,c_233,c_232,c_231,c_230,c_228,c_227,c_226,c_225,c_224,c_223,c_222,c_221,c_220,c_219,c_218,c_217,c_216,c_215,c_214,c_213,c_212,c_210,c_209,c_208,c_207,c_206,c_204,c_203,c_196,c_194,c_193,c_192,c_191,c_190,c_189,c_187,c_186,c_185,c_184,c_183,c_182,c_180,c_179,c_178,c_177,c_176,c_175,c_174,c_173,c_172,c_171,c_170,c_169,c_168,c_167,c_166,c_165,c_164,c_163,c_162,c_161,c_160,c_159,c_158,c_157,c_156,c_155,c_154,c_153,c_152,c_151,c_150,c_149,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_141,c_140,c_137,c_136,c_135,c_134,c_133,c_132,c_131,c_130,c_129,c_128,c_127,c_126,c_125,c_124,c_123,c_122,c_121,c_120,c_119,c_118,c_117,c_116,c_115,c_114,c_113,c_112,c_111,c_110,c_109,c_108,c_107,c_105,c_104,c_103,c_102,c_101,c_100,c_99,c_98,c_97,c_93,c_92,c_91,c_90,c_89,c_88,c_87,c_86,c_85,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_70,c_69,c_68,c_67,c_66,c_65,c_63,c_62,c_60,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC166+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 16:50:12 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 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
% 0.14/0.44
% 0.14/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.44
% 0.14/0.44 % Detected problem language: tptp
% 0.14/0.46 % Proving...
% 64.28/16.92 % SZS status Started for theBenchmark.p
% 64.28/16.92 % SZS status Theorem for theBenchmark.p
% 64.28/16.92
% 64.28/16.92 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 64.28/16.92
% 64.28/16.92 % ------ iProver source info
% 64.28/16.92
% 64.28/16.92 % git: date: 2026-07-19 20:42:38 +0200
% 64.28/16.92 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 64.28/16.92 % git: non_committed_changes: false
% 64.28/16.92
% 64.28/16.92 % ------ Parsing...
% 64.28/16.92 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 64.28/16.92
% 64.28/16.92 % ------ 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: 3 sf_s rm: 5 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e %
% 64.28/16.92
% 64.28/16.92 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 64.28/16.92
% 64.28/16.92 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 64.28/16.92 % ------ Proving...
% 64.28/16.92 % ------ Problem Properties
% 64.28/16.92
% 64.28/16.92 %
% 64.28/16.92 % clauses 192
% 64.28/16.92 % conjectures 6
% 64.28/16.92 % EPR 57
% 64.28/16.92 % Horn 124
% 64.28/16.92 % unary 28
% 64.28/16.92 % binary 40
% 64.28/16.92 % lits 630
% 64.28/16.92 % lits eq 84
% 64.28/16.92 % fd_pure 0
% 64.28/16.92 % fd_pseudo 0
% 64.28/16.92 % fd_cond 21
% 64.28/16.92 % fd_pseudo_cond 14
% 64.28/16.92 % AC symbols 0
% 64.28/16.92
% 64.28/16.92 % ------ Schedule dynamic 5 is on
% 64.28/16.92
% 64.28/16.92 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 64.28/16.92
% 64.28/16.92
% 64.28/16.92 % ------
% 64.28/16.92 % Current options:
% 64.28/16.92 % ------
% 64.28/16.92
% 64.28/16.92
% 64.28/16.92 %
% 64.28/16.92
% 64.28/16.92 % ------ Proving...
% 64.28/16.92 % Proof_search_loop: time out after: 6432 full_loop iterations
% 64.28/16.92
% 64.28/16.92 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 64.28/16.92
% 64.28/16.92
% 64.28/16.92 % ------
% 64.28/16.92 % Current options:
% 64.28/16.92 % ------
% 64.28/16.92
% 64.28/16.92
% 64.28/16.92 %
% 64.28/16.92
% 64.28/16.92 % ------ Proving...
% 64.28/16.92 %
% 64.28/16.92
% 64.28/16.92 % SZS status Theorem for theBenchmark.p
% 64.28/16.92
% 64.28/16.92 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 113.81/17.06
% 113.81/17.06
%------------------------------------------------------------------------------