%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC174+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n008.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 03:08:13 PM UTC 2026
% Result : Theorem 106.33s 17.46s
% Output : CNFRefutation 123.70s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f542ERROR: Could not build tree for root c_228320ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax1) ).
fof(f2,axiom,
? [X0] :
( ? [X1] :
( X0 != X1
& ssItem(X1) )
& ssItem(X0) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax3) ).
fof(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax14) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax20) ).
fof(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax21) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax22) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax23) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax25) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax27) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax30) ).
fof(f31,axiom,
! [X0] :
( ssItem(X0)
=> leq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax31) ).
fof(f32,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( geq(X0,X1)
<=> leq(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax32) ).
fof(f33,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
=> ~ lt(X1,X0) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax34) ).
fof(f35,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( gt(X0,X1)
<=> lt(X1,X0) ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax37) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax38) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax41) ).
fof(f42,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,X0) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax44) ).
fof(f45,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax45) ).
fof(f46,axiom,
! [X0] :
( ssList(X0)
=> ( frontsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax48) ).
fof(f49,axiom,
! [X0] :
( ssList(X0)
=> rearsegP(X0,X0) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax50) ).
fof(f51,axiom,
! [X0] :
( ssList(X0)
=> rearsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax51) ).
fof(f52,axiom,
! [X0] :
( ssList(X0)
=> ( rearsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax54) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax56) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax57) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax58) ).
fof(f59,axiom,
! [X0] :
( ssItem(X0)
=> cyclefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax59) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax60) ).
fof(f61,axiom,
! [X0] :
( ssItem(X0)
=> totalorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax61) ).
fof(f62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax62) ).
fof(f63,axiom,
! [X0] :
( ssItem(X0)
=> strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax63) ).
fof(f64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax64) ).
fof(f65,axiom,
! [X0] :
( ssItem(X0)
=> totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax65) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax67) ).
fof(f68,axiom,
! [X0] :
( ssItem(X0)
=> strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax68) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax70) ).
fof(f71,axiom,
! [X0] :
( ssItem(X0)
=> duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax71) ).
fof(f72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax72) ).
fof(f73,axiom,
! [X0] :
( ssItem(X0)
=> equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax73) ).
fof(f74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax74) ).
fof(f75,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ? [X1] :
( hd(X0) = X1
& ssItem(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax75) ).
fof(f76,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ? [X1] :
( tl(X0) = X1
& ssList(X1) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax77) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax83) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax88) ).
fof(f89,axiom,
! [X0] :
( ssItem(X0)
=> geq(X0,X0) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax93) ).
fof(f94,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( gt(X0,X1)
=> ~ gt(X1,X0) ) ) ),
file('/export/starexec/sandbox/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/sandbox/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)
=> ( neq(X4,X5)
| ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0 ) ) ) ) )
| ~ singletonP(X2)
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/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)
=> ( neq(X4,X5)
| ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> 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)
& ~ neq(X4,X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& 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)
& ~ neq(X4,X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& 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)
& ~ neq(sK57,sK58)
& ssList(sK59)
& ssList(sK60)
& 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,
~ neq(sK57,sK58),
inference(cnf_transformation,[],[f296]) ).
fof(f503,plain,
ssList(sK59),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
ssList(sK60),
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,
ssList(sK60),
inference(cnf_transformation,[],[f504]) ).
tcf(c_249,negated_conjecture,
ssList(sK59),
inference(cnf_transformation,[],[f503]) ).
tcf(c_250,negated_conjecture,
~ neq(sK57,sK58),
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_250]) ).
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_249]) ).
tcf(c_12927,negated_conjecture,
ssList(sK60),
inference(demodulation,[status(thm)],[c_248]) ).
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_172129,plain,
ssList(iPr_def_13),
inference(light_normalisation,[status(thm)],[c_12923,c_12921]) ).
tcf(c_172130,plain,
singletonP(iPr_def_13),
inference(light_normalisation,[status(thm)],[c_12928,c_12921]) ).
tcf(c_172237,plain,
( totalorderedP(iPr_def_10)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_12917,c_203]) ).
tcf(c_172238,plain,
totalorderedP(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_172237,c_12925]) ).
tcf(c_172243,plain,
( strictorderedP(iPr_def_10)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_12917,c_209]) ).
tcf(c_172244,plain,
strictorderedP(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_172243,c_12925]) ).
tcf(c_172249,plain,
( duplicatefreeP(iPr_def_10)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_12917,c_215]) ).
tcf(c_172250,plain,
duplicatefreeP(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_172249,c_12925]) ).
tcf(c_172261,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_172262,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_172261,c_12917]) ).
tcf(c_172263,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_172262,c_141,c_12925]) ).
tcf(c_172271,plain,
( equalelemsP(iPr_def_10)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_12917,c_217]) ).
tcf(c_172272,plain,
equalelemsP(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_172271,c_12925]) ).
tcf(c_172299,plain,
( memberP(iPr_def_11,sK57)
| ~ ssList(sK59)
| ~ ssList(app(sK59,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_12918,c_172263]) ).
tcf(c_172300,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_172263]) ).
tcf(c_172301,plain,
( memberP(iPr_def_12,sK57)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_172300,c_12919]) ).
tcf(c_172305,plain,
( memberP(iPr_def_11,sK57)
| ~ ssList(iPr_def_11)
| ~ ssList(sK59) ),
inference(light_normalisation,[status(thm)],[c_172299,c_12918]) ).
tcf(c_172306,plain,
( memberP(iPr_def_11,sK57)
| ~ ssList(iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172305,c_12926]) ).
tcf(c_172309,plain,
memberP(iPr_def_11,sK57),
inference(global_subsumption_just,[status(thm)],[c_172306,c_15926,c_16421]) ).
tcf(c_172311,plain,
memberP(iPr_def_12,sK57),
inference(global_subsumption_just,[status(thm)],[c_172301,c_15921,c_16422,c_16421]) ).
tcf(c_172445,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_172455,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(nil,sK34(X0)) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_155]) ).
tcf(c_172456,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(nil,sK33(X0)) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_155]) ).
tcf(c_172457,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(nil,sK32(X0)) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_155]) ).
tcf(c_172458,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(nil,sK39(X0)) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_155]) ).
tcf(c_172459,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(nil,sK38(X0)) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_155]) ).
tcf(c_172460,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(nil,sK37(X0)) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_155]) ).
tcf(c_172461,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(nil,sK44(X0)) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_155]) ).
tcf(c_172462,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(nil,sK43(X0)) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_155]) ).
tcf(c_172463,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(nil,sK42(X0)) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_155]) ).
tcf(c_172464,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(nil,sK48(X0)) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_155]) ).
tcf(c_172465,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(nil,sK47(X0)) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_155]) ).
tcf(c_172467,plain,
app(nil,sK60) = sK60,
inference(superposition,[status(thm)],[c_12927,c_155]) ).
tcf(c_172468,plain,
app(nil,sK59) = sK59,
inference(superposition,[status(thm)],[c_12926,c_155]) ).
tcf(c_172469,plain,
app(nil,sK56) = sK56,
inference(superposition,[status(thm)],[c_12924,c_155]) ).
tcf(c_172470,plain,
app(nil,iPr_def_13) = iPr_def_13,
inference(superposition,[status(thm)],[c_172129,c_155]) ).
tcf(c_172530,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_172540,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK34(X0),nil) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_232]) ).
tcf(c_172541,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK33(X0),nil) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_232]) ).
tcf(c_172542,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK32(X0),nil) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_232]) ).
tcf(c_172543,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK39(X0),nil) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_232]) ).
tcf(c_172544,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK38(X0),nil) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_232]) ).
tcf(c_172545,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK37(X0),nil) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_232]) ).
tcf(c_172546,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK44(X0),nil) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_232]) ).
tcf(c_172547,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK43(X0),nil) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_232]) ).
tcf(c_172548,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK42(X0),nil) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_232]) ).
tcf(c_172549,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(sK48(X0),nil) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_232]) ).
tcf(c_172550,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(sK47(X0),nil) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_232]) ).
tcf(c_172552,plain,
app(sK60,nil) = sK60,
inference(superposition,[status(thm)],[c_12927,c_232]) ).
tcf(c_172553,plain,
app(sK59,nil) = sK59,
inference(superposition,[status(thm)],[c_12926,c_232]) ).
tcf(c_172554,plain,
app(sK56,nil) = sK56,
inference(superposition,[status(thm)],[c_12924,c_232]) ).
tcf(c_172555,plain,
app(iPr_def_13,nil) = iPr_def_13,
inference(superposition,[status(thm)],[c_172129,c_232]) ).
tcf(c_172617,plain,
( ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_12917,c_140]) ).
tcf(c_172618,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_172619,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_172620,plain,
ssList(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_172617,c_141,c_12925]) ).
tcf(c_172633,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(sK49(X0),nil) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_232]) ).
tcf(c_172634,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,sK49(X0)) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_155]) ).
tcf(c_172647,plain,
app(iPr_def_10,nil) = iPr_def_10,
inference(superposition,[status(thm)],[c_172620,c_232]) ).
tcf(c_172648,plain,
app(nil,iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_172620,c_155]) ).
tcf(c_172649,plain,
( memberP(iPr_def_10,sK57)
| ~ ssList(nil)
| ~ ssList(app(nil,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_172648,c_172263]) ).
tcf(c_172650,plain,
( memberP(iPr_def_10,sK57)
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_172649,c_172648]) ).
tcf(c_172651,plain,
memberP(iPr_def_10,sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_172650,c_172620,c_141]) ).
tcf(c_172664,plain,
! [X0: $i] :
( ( app(cons(sK6,X0),nil) = cons(sK6,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_51,c_172618]) ).
tcf(c_172665,plain,
! [X0: $i] :
( ( app(cons(sK7,X0),nil) = cons(sK7,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_52,c_172618]) ).
tcf(c_172666,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_172618]) ).
tcf(c_172673,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_172618]) ).
tcf(c_172674,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_172618]) ).
tcf(c_172675,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_172618]) ).
tcf(c_172676,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_172618]) ).
tcf(c_172677,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_172618]) ).
tcf(c_172678,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_172618]) ).
tcf(c_172679,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_172618]) ).
tcf(c_172680,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_172618]) ).
tcf(c_172681,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_172618]) ).
tcf(c_172682,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_172618]) ).
tcf(c_172683,plain,
! [X0: $i] :
( ( app(cons(sK57,X0),nil) = cons(sK57,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12925,c_172618]) ).
tcf(c_172758,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(tl(X0),nil) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_232]) ).
tcf(c_172759,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,tl(X0)) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_155]) ).
tcf(c_172773,plain,
( ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_12918,c_153]) ).
tcf(c_172774,plain,
( ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_12919,c_153]) ).
tcf(c_172786,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_172787,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_172788,plain,
( ssList(iPr_def_12)
| ~ ssList(iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172774,c_172620]) ).
tcf(c_172791,plain,
ssList(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_172773,c_172620,c_12926]) ).
tcf(c_172792,plain,
ssList(iPr_def_12),
inference(backward_subsumption_resolution,[status(thm)],[c_172788,c_172791]) ).
tcf(c_172805,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_172618]) ).
tcf(c_172816,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(sK52(X0),nil) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_232]) ).
tcf(c_172817,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,sK52(X0)) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_155]) ).
tcf(c_172824,plain,
app(iPr_def_11,nil) = iPr_def_11,
inference(superposition,[status(thm)],[c_172791,c_232]) ).
tcf(c_172825,plain,
app(nil,iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_172791,c_155]) ).
tcf(c_172826,plain,
app(iPr_def_12,nil) = iPr_def_12,
inference(superposition,[status(thm)],[c_172792,c_232]) ).
tcf(c_172827,plain,
app(nil,iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_172792,c_155]) ).
tcf(c_172834,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_172683]) ).
tcf(c_172835,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_172683]) ).
tcf(c_172845,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(cons(sK57,sK34(X0)),nil) = cons(sK57,sK34(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_172683]) ).
tcf(c_172846,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(cons(sK57,sK33(X0)),nil) = cons(sK57,sK33(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_172683]) ).
tcf(c_172847,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(cons(sK57,sK32(X0)),nil) = cons(sK57,sK32(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_172683]) ).
tcf(c_172848,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(cons(sK57,sK39(X0)),nil) = cons(sK57,sK39(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_172683]) ).
tcf(c_172849,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(cons(sK57,sK38(X0)),nil) = cons(sK57,sK38(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_172683]) ).
tcf(c_172850,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(cons(sK57,sK37(X0)),nil) = cons(sK57,sK37(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_172683]) ).
tcf(c_172851,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(cons(sK57,sK44(X0)),nil) = cons(sK57,sK44(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_172683]) ).
tcf(c_172852,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(cons(sK57,sK43(X0)),nil) = cons(sK57,sK43(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_172683]) ).
tcf(c_172853,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(cons(sK57,sK42(X0)),nil) = cons(sK57,sK42(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_172683]) ).
tcf(c_172854,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(cons(sK57,sK48(X0)),nil) = cons(sK57,sK48(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_172683]) ).
tcf(c_172855,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(cons(sK57,sK47(X0)),nil) = cons(sK57,sK47(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_172683]) ).
tcf(c_172856,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_172683]) ).
tcf(c_172857,plain,
app(cons(sK57,nil),nil) = cons(sK57,nil),
inference(superposition,[status(thm)],[c_141,c_172683]) ).
tcf(c_172858,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(cons(sK57,sK49(X0)),nil) = cons(sK57,sK49(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_172683]) ).
tcf(c_172859,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(cons(sK57,tl(X0)),nil) = cons(sK57,tl(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_172683]) ).
tcf(c_172860,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(cons(sK57,sK52(X0)),nil) = cons(sK57,sK52(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_172683]) ).
tcf(c_172861,plain,
app(cons(sK57,sK60),nil) = cons(sK57,sK60),
inference(superposition,[status(thm)],[c_12927,c_172683]) ).
tcf(c_172862,plain,
app(cons(sK57,sK59),nil) = cons(sK57,sK59),
inference(superposition,[status(thm)],[c_12926,c_172683]) ).
tcf(c_172863,plain,
app(cons(sK57,sK56),nil) = cons(sK57,sK56),
inference(superposition,[status(thm)],[c_12924,c_172683]) ).
tcf(c_172864,plain,
app(cons(sK57,iPr_def_13),nil) = cons(sK57,iPr_def_13),
inference(superposition,[status(thm)],[c_172129,c_172683]) ).
tcf(c_172865,plain,
app(cons(sK57,iPr_def_11),nil) = cons(sK57,iPr_def_11),
inference(superposition,[status(thm)],[c_172791,c_172683]) ).
tcf(c_172866,plain,
app(cons(sK57,iPr_def_12),nil) = cons(sK57,iPr_def_12),
inference(superposition,[status(thm)],[c_172792,c_172683]) ).
tcf(c_172867,plain,
app(cons(sK57,iPr_def_10),nil) = cons(sK57,iPr_def_10),
inference(superposition,[status(thm)],[c_172620,c_172683]) ).
tcf(c_172965,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_172966,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_172976,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_172977,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_172978,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_172979,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_172980,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_172981,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_172982,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_172983,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_172984,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_172985,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_172986,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_172987,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_172989,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_172990,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_172991,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_172992,plain,
( duplicatefreeP(sK60)
| ( sK40(sK60) = sK41(sK60) ) ),
inference(superposition,[status(thm)],[c_12927,c_123]) ).
tcf(c_172993,plain,
( duplicatefreeP(sK59)
| ( sK40(sK59) = sK41(sK59) ) ),
inference(superposition,[status(thm)],[c_12926,c_123]) ).
tcf(c_172994,plain,
( duplicatefreeP(sK56)
| ( sK40(sK56) = sK41(sK56) ) ),
inference(superposition,[status(thm)],[c_12924,c_123]) ).
tcf(c_172995,plain,
( duplicatefreeP(iPr_def_13)
| ( sK40(iPr_def_13) = sK41(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_172129,c_123]) ).
tcf(c_172996,plain,
( duplicatefreeP(iPr_def_11)
| ( sK40(iPr_def_11) = sK41(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_172791,c_123]) ).
tcf(c_172997,plain,
( duplicatefreeP(iPr_def_12)
| ( sK40(iPr_def_12) = sK41(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_172792,c_123]) ).
tcf(c_173127,plain,
duplicatefreeP(iPr_def_13),
inference(global_subsumption_just,[status(thm)],[c_172995,c_20311]) ).
tcf(c_173163,plain,
! [X0: $i] :
( ( app(nil,cons(sK6,X0)) = cons(sK6,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_51,c_172619]) ).
tcf(c_173164,plain,
! [X0: $i] :
( ( app(nil,cons(sK7,X0)) = cons(sK7,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_52,c_172619]) ).
tcf(c_173165,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_172619]) ).
tcf(c_173172,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_172619]) ).
tcf(c_173173,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_172619]) ).
tcf(c_173174,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_172619]) ).
tcf(c_173175,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_172619]) ).
tcf(c_173176,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_172619]) ).
tcf(c_173177,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_172619]) ).
tcf(c_173178,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_172619]) ).
tcf(c_173179,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_172619]) ).
tcf(c_173180,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_172619]) ).
tcf(c_173181,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_172619]) ).
tcf(c_173182,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_172619]) ).
tcf(c_173183,plain,
! [X0: $i] :
( ( app(nil,cons(sK57,X0)) = cons(sK57,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12925,c_172619]) ).
tcf(c_173290,plain,
( rearsegP(iPr_def_11,iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_12918,c_375]) ).
tcf(c_173291,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_173292,plain,
( rearsegP(iPr_def_13,sK60)
| ~ ssList(iPr_def_12)
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_12920,c_375]) ).
tcf(c_173293,plain,
( rearsegP(iPr_def_10,iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172648,c_375]) ).
tcf(c_173294,plain,
( rearsegP(sK60,sK60)
| ~ ssList(sK60)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172467,c_375]) ).
tcf(c_173295,plain,
( rearsegP(sK59,sK59)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172468,c_375]) ).
tcf(c_173296,plain,
( rearsegP(sK56,sK56)
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172469,c_375]) ).
tcf(c_173297,plain,
( rearsegP(iPr_def_13,iPr_def_13)
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172470,c_375]) ).
tcf(c_173298,plain,
( rearsegP(sK60,nil)
| ~ ssList(sK60)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172552,c_375]) ).
tcf(c_173299,plain,
( rearsegP(sK59,nil)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172553,c_375]) ).
tcf(c_173300,plain,
( rearsegP(sK56,nil)
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172554,c_375]) ).
tcf(c_173301,plain,
( rearsegP(iPr_def_13,nil)
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172555,c_375]) ).
tcf(c_173302,plain,
( rearsegP(iPr_def_10,nil)
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172647,c_375]) ).
tcf(c_173303,plain,
( rearsegP(iPr_def_11,nil)
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172824,c_375]) ).
tcf(c_173304,plain,
( rearsegP(iPr_def_11,iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172825,c_375]) ).
tcf(c_173305,plain,
( rearsegP(iPr_def_12,nil)
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172826,c_375]) ).
tcf(c_173306,plain,
( rearsegP(iPr_def_12,iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172827,c_375]) ).
tcf(c_173307,plain,
( rearsegP(cons(sK57,sK60),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_172861,c_375]) ).
tcf(c_173308,plain,
( rearsegP(cons(sK57,sK59),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_172862,c_375]) ).
tcf(c_173309,plain,
( rearsegP(cons(sK57,sK56),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_172863,c_375]) ).
tcf(c_173310,plain,
( rearsegP(cons(sK57,iPr_def_13),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_172864,c_375]) ).
tcf(c_173311,plain,
( rearsegP(cons(sK57,iPr_def_11),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_172865,c_375]) ).
tcf(c_173312,plain,
( rearsegP(cons(sK57,iPr_def_12),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_172866,c_375]) ).
tcf(c_173313,plain,
( rearsegP(cons(sK57,iPr_def_10),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_172867,c_375]) ).
tcf(c_173314,plain,
rearsegP(iPr_def_12,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_173306,c_172792,c_141]) ).
tcf(c_173315,plain,
rearsegP(iPr_def_12,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_173305,c_172792,c_141]) ).
tcf(c_173316,plain,
rearsegP(iPr_def_11,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_173304,c_172791,c_141]) ).
tcf(c_173317,plain,
rearsegP(iPr_def_11,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_173303,c_172791,c_141]) ).
tcf(c_173318,plain,
rearsegP(iPr_def_10,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_173302,c_172620,c_141]) ).
tcf(c_173319,plain,
rearsegP(iPr_def_13,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_173301,c_172129,c_141]) ).
tcf(c_173320,plain,
rearsegP(sK56,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_173300,c_12924,c_141]) ).
tcf(c_173321,plain,
rearsegP(sK59,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_173299,c_12926,c_141]) ).
tcf(c_173322,plain,
rearsegP(sK60,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_173298,c_12927,c_141]) ).
tcf(c_173323,plain,
rearsegP(iPr_def_13,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_173297,c_172129,c_141]) ).
tcf(c_173324,plain,
rearsegP(sK56,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_173296,c_12924,c_141]) ).
tcf(c_173325,plain,
rearsegP(sK59,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_173295,c_12926,c_141]) ).
tcf(c_173326,plain,
rearsegP(sK60,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_173294,c_12927,c_141]) ).
tcf(c_173327,plain,
rearsegP(iPr_def_10,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_173293,c_172620,c_141]) ).
tcf(c_173328,plain,
rearsegP(iPr_def_13,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_173292,c_172792,c_12927]) ).
tcf(c_173329,plain,
rearsegP(iPr_def_12,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_173291,c_172791,c_172620]) ).
tcf(c_173330,plain,
rearsegP(iPr_def_11,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_173290,c_172620,c_12926]) ).
tcf(c_173331,plain,
( rearsegP(cons(sK57,iPr_def_10),nil)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173313,c_141]) ).
tcf(c_173334,plain,
( rearsegP(cons(sK57,iPr_def_12),nil)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173312,c_141]) ).
tcf(c_173337,plain,
( rearsegP(cons(sK57,iPr_def_11),nil)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173311,c_141]) ).
tcf(c_173340,plain,
( rearsegP(cons(sK57,iPr_def_13),nil)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173310,c_141]) ).
tcf(c_173343,plain,
( rearsegP(cons(sK57,sK56),nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173309,c_141]) ).
tcf(c_173346,plain,
( rearsegP(cons(sK57,sK59),nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173308,c_141]) ).
tcf(c_173349,plain,
( rearsegP(cons(sK57,sK60),nil)
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173307,c_141]) ).
tcf(c_173358,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_172633]) ).
tcf(c_173359,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_172633]) ).
tcf(c_173369,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_172633]) ).
tcf(c_173370,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_172633]) ).
tcf(c_173371,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_172633]) ).
tcf(c_173372,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_172633]) ).
tcf(c_173373,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_172633]) ).
tcf(c_173374,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_172633]) ).
tcf(c_173375,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_172633]) ).
tcf(c_173376,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_172633]) ).
tcf(c_173377,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_172633]) ).
tcf(c_173378,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_172633]) ).
tcf(c_173379,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_172633]) ).
tcf(c_173380,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_172633]) ).
tcf(c_173382,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_172633]) ).
tcf(c_173383,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_172633]) ).
tcf(c_173384,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_172633]) ).
tcf(c_173385,plain,
( ( nil = sK60 )
| ( app(sK49(sK60),nil) = sK49(sK60) ) ),
inference(superposition,[status(thm)],[c_12927,c_172633]) ).
tcf(c_173386,plain,
( ( nil = sK59 )
| ( app(sK49(sK59),nil) = sK49(sK59) ) ),
inference(superposition,[status(thm)],[c_12926,c_172633]) ).
tcf(c_173387,plain,
( ( nil = sK56 )
| ( app(sK49(sK56),nil) = sK49(sK56) ) ),
inference(superposition,[status(thm)],[c_12924,c_172633]) ).
tcf(c_173388,plain,
( ( nil = iPr_def_13 )
| ( app(sK49(iPr_def_13),nil) = sK49(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_172129,c_172633]) ).
tcf(c_173389,plain,
( ( nil = iPr_def_11 )
| ( app(sK49(iPr_def_11),nil) = sK49(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_172791,c_172633]) ).
tcf(c_173390,plain,
( ( nil = iPr_def_12 )
| ( app(sK49(iPr_def_12),nil) = sK49(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_172792,c_172633]) ).
tcf(c_173391,plain,
( ( nil = iPr_def_10 )
| ( app(sK49(iPr_def_10),nil) = sK49(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_172620,c_172633]) ).
tcf(c_173530,plain,
( frontsegP(iPr_def_11,sK59)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_12918,c_378]) ).
tcf(c_173531,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_173532,plain,
( frontsegP(iPr_def_13,iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_12920,c_378]) ).
tcf(c_173533,plain,
( frontsegP(iPr_def_10,nil)
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172648,c_378]) ).
tcf(c_173534,plain,
( frontsegP(sK60,nil)
| ~ ssList(sK60)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172467,c_378]) ).
tcf(c_173535,plain,
( frontsegP(sK59,nil)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172468,c_378]) ).
tcf(c_173536,plain,
( frontsegP(sK56,nil)
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172469,c_378]) ).
tcf(c_173537,plain,
( frontsegP(iPr_def_13,nil)
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172470,c_378]) ).
tcf(c_173538,plain,
( frontsegP(sK60,sK60)
| ~ ssList(sK60)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172552,c_378]) ).
tcf(c_173539,plain,
( frontsegP(sK59,sK59)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172553,c_378]) ).
tcf(c_173540,plain,
( frontsegP(sK56,sK56)
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172554,c_378]) ).
tcf(c_173541,plain,
( frontsegP(iPr_def_13,iPr_def_13)
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172555,c_378]) ).
tcf(c_173542,plain,
( frontsegP(iPr_def_10,iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172647,c_378]) ).
tcf(c_173543,plain,
( frontsegP(iPr_def_11,iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172824,c_378]) ).
tcf(c_173544,plain,
( frontsegP(iPr_def_11,nil)
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172825,c_378]) ).
tcf(c_173545,plain,
( frontsegP(iPr_def_12,iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172826,c_378]) ).
tcf(c_173546,plain,
( frontsegP(iPr_def_12,nil)
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_172827,c_378]) ).
tcf(c_173547,plain,
( frontsegP(cons(sK57,sK60),cons(sK57,sK60))
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_172861,c_378]) ).
tcf(c_173548,plain,
( frontsegP(cons(sK57,sK59),cons(sK57,sK59))
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_172862,c_378]) ).
tcf(c_173549,plain,
( frontsegP(cons(sK57,sK56),cons(sK57,sK56))
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_172863,c_378]) ).
tcf(c_173550,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_172864,c_378]) ).
tcf(c_173551,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_172865,c_378]) ).
tcf(c_173552,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_172866,c_378]) ).
tcf(c_173553,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_172867,c_378]) ).
tcf(c_173554,plain,
frontsegP(iPr_def_12,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_173546,c_172792,c_141]) ).
tcf(c_173555,plain,
frontsegP(iPr_def_12,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_173545,c_172792,c_141]) ).
tcf(c_173556,plain,
frontsegP(iPr_def_11,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_173544,c_172791,c_141]) ).
tcf(c_173557,plain,
frontsegP(iPr_def_11,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_173543,c_172791,c_141]) ).
tcf(c_173558,plain,
frontsegP(iPr_def_10,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_173542,c_172620,c_141]) ).
tcf(c_173559,plain,
frontsegP(iPr_def_13,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_173541,c_172129,c_141]) ).
tcf(c_173560,plain,
frontsegP(sK56,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_173540,c_12924,c_141]) ).
tcf(c_173561,plain,
frontsegP(sK59,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_173539,c_12926,c_141]) ).
tcf(c_173562,plain,
frontsegP(sK60,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_173538,c_12927,c_141]) ).
tcf(c_173563,plain,
frontsegP(iPr_def_13,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_173537,c_172129,c_141]) ).
tcf(c_173564,plain,
frontsegP(sK56,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_173536,c_12924,c_141]) ).
tcf(c_173565,plain,
frontsegP(sK59,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_173535,c_12926,c_141]) ).
tcf(c_173566,plain,
frontsegP(sK60,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_173534,c_12927,c_141]) ).
tcf(c_173567,plain,
frontsegP(iPr_def_10,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_173533,c_172620,c_141]) ).
tcf(c_173568,plain,
frontsegP(iPr_def_13,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_173532,c_172792,c_12927]) ).
tcf(c_173569,plain,
frontsegP(iPr_def_12,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_173531,c_172791,c_172620]) ).
tcf(c_173570,plain,
frontsegP(iPr_def_11,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_173530,c_172620,c_12926]) ).
tcf(c_173571,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_173553,c_141]) ).
tcf(c_173574,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_173552,c_141]) ).
tcf(c_173577,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_173551,c_141]) ).
tcf(c_173580,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_173550,c_141]) ).
tcf(c_173583,plain,
( frontsegP(cons(sK57,sK56),cons(sK57,sK56))
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173549,c_141]) ).
tcf(c_173586,plain,
( frontsegP(cons(sK57,sK59),cons(sK57,sK59))
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173548,c_141]) ).
tcf(c_173589,plain,
( frontsegP(cons(sK57,sK60),cons(sK57,sK60))
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173547,c_141]) ).
tcf(c_173607,plain,
! [X0: $i] :
( singletonP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(global_subsumption_just,[status(thm)],[c_58,c_17295]) ).
tcf(c_173613,plain,
( singletonP(iPr_def_10)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_12917,c_173607]) ).
tcf(c_173614,plain,
singletonP(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_173613,c_12925]) ).
tcf(c_173629,plain,
! [X0: $i] :
( ( cons(sK10(cons(X0,nil)),nil) = cons(X0,nil) )
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(superposition,[status(thm)],[c_173607,c_60]) ).
tcf(c_173630,plain,
( ( cons(sK10(iPr_def_13),nil) = iPr_def_13 )
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_172130,c_60]) ).
tcf(c_173631,plain,
cons(sK10(iPr_def_13),nil) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_173630,c_172129]) ).
tcf(c_173636,plain,
( ( cons(sK10(iPr_def_10),nil) = iPr_def_10 )
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_173614,c_60]) ).
tcf(c_173637,plain,
cons(sK10(iPr_def_10),nil) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_173636,c_172620]) ).
tcf(c_173648,plain,
( frontsegP(sK49(sK60),sK49(sK60))
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(sK49(sK60)) ),
inference(superposition,[status(thm)],[c_173385,c_378]) ).
tcf(c_173649,plain,
( rearsegP(sK49(sK60),nil)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(sK49(sK60)) ),
inference(superposition,[status(thm)],[c_173385,c_375]) ).
tcf(c_173651,plain,
( rearsegP(sK49(sK60),nil)
| ( nil = sK60 )
| ~ ssList(sK49(sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173649,c_141]) ).
tcf(c_173655,plain,
( frontsegP(sK49(sK60),sK49(sK60))
| ( nil = sK60 )
| ~ ssList(sK49(sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173648,c_141]) ).
tcf(c_173665,plain,
( ~ ssList(nil)
| ~ ssItem(sK57)
| ( nil != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_12917,c_142]) ).
tcf(c_173666,plain,
nil != iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_173665,c_141,c_12925]) ).
tcf(c_173680,plain,
! [X0: $i] :
( ( hd(cons(sK6,X0)) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_51,c_150]) ).
tcf(c_173681,plain,
! [X0: $i] :
( ( hd(cons(sK7,X0)) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_52,c_150]) ).
tcf(c_173682,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_173689,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_173690,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_173691,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_173692,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_173693,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_173694,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_173695,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_173696,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_173697,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_173698,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_173699,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_173700,plain,
! [X0: $i] :
( ( hd(cons(sK57,X0)) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12925,c_150]) ).
tcf(c_173801,plain,
! [X0: $i] :
( ( tl(cons(sK6,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_51,c_152]) ).
tcf(c_173802,plain,
! [X0: $i] :
( ( tl(cons(sK7,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_52,c_152]) ).
tcf(c_173803,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_173810,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_173811,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_173812,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_173813,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_173814,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_173815,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_173816,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_173817,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_173818,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_173819,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_173820,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_173821,plain,
! [X0: $i] :
( ( tl(cons(sK57,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12925,c_152]) ).
tcf(c_173919,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_173700]) ).
tcf(c_173920,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK57,app(X0,X1))) = sK57 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_173700]) ).
tcf(c_173930,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK57,sK34(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_173700]) ).
tcf(c_173931,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK57,sK33(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_173700]) ).
tcf(c_173932,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK57,sK32(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_173700]) ).
tcf(c_173933,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK57,sK39(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_173700]) ).
tcf(c_173934,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK57,sK38(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_173700]) ).
tcf(c_173935,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK57,sK37(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_173700]) ).
tcf(c_173936,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK57,sK44(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_173700]) ).
tcf(c_173937,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK57,sK43(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_173700]) ).
tcf(c_173938,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK57,sK42(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_173700]) ).
tcf(c_173939,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(cons(sK57,sK48(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_173700]) ).
tcf(c_173940,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(cons(sK57,sK47(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_173700]) ).
tcf(c_173941,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK57,cons(X0,X1))) = sK57 )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_173700]) ).
tcf(c_173942,plain,
hd(cons(sK57,nil)) = sK57,
inference(superposition,[status(thm)],[c_141,c_173700]) ).
tcf(c_173943,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK57,sK49(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_173700]) ).
tcf(c_173944,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK57,tl(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_173700]) ).
tcf(c_173945,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK57,sK52(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_173700]) ).
tcf(c_173946,plain,
hd(cons(sK57,sK60)) = sK57,
inference(superposition,[status(thm)],[c_12927,c_173700]) ).
tcf(c_173947,plain,
hd(cons(sK57,sK59)) = sK57,
inference(superposition,[status(thm)],[c_12926,c_173700]) ).
tcf(c_173948,plain,
hd(cons(sK57,sK56)) = sK57,
inference(superposition,[status(thm)],[c_12924,c_173700]) ).
tcf(c_173949,plain,
hd(cons(sK57,iPr_def_13)) = sK57,
inference(superposition,[status(thm)],[c_172129,c_173700]) ).
tcf(c_173950,plain,
hd(cons(sK57,iPr_def_11)) = sK57,
inference(superposition,[status(thm)],[c_172791,c_173700]) ).
tcf(c_173951,plain,
hd(cons(sK57,iPr_def_12)) = sK57,
inference(superposition,[status(thm)],[c_172792,c_173700]) ).
tcf(c_173952,plain,
hd(cons(sK57,iPr_def_10)) = sK57,
inference(superposition,[status(thm)],[c_172620,c_173700]) ).
tcf(c_173953,plain,
hd(iPr_def_10) = sK57,
inference(light_normalisation,[status(thm)],[c_173942,c_12917]) ).
tcf(c_174066,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_173821]) ).
tcf(c_174067,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_173821]) ).
tcf(c_174077,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK57,sK34(X0))) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_173821]) ).
tcf(c_174078,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK57,sK33(X0))) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_173821]) ).
tcf(c_174079,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK57,sK32(X0))) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_173821]) ).
tcf(c_174080,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK57,sK39(X0))) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_173821]) ).
tcf(c_174081,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK57,sK38(X0))) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_173821]) ).
tcf(c_174082,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK57,sK37(X0))) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_173821]) ).
tcf(c_174083,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK57,sK44(X0))) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_173821]) ).
tcf(c_174084,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK57,sK43(X0))) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_173821]) ).
tcf(c_174085,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK57,sK42(X0))) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_173821]) ).
tcf(c_174086,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( tl(cons(sK57,sK48(X0))) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_173821]) ).
tcf(c_174087,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( tl(cons(sK57,sK47(X0))) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_173821]) ).
tcf(c_174088,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_173821]) ).
tcf(c_174089,plain,
tl(cons(sK57,nil)) = nil,
inference(superposition,[status(thm)],[c_141,c_173821]) ).
tcf(c_174090,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK57,sK49(X0))) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_173821]) ).
tcf(c_174091,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK57,tl(X0))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_173821]) ).
tcf(c_174092,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK57,sK52(X0))) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_173821]) ).
tcf(c_174093,plain,
tl(cons(sK57,sK60)) = sK60,
inference(superposition,[status(thm)],[c_12927,c_173821]) ).
tcf(c_174094,plain,
tl(cons(sK57,sK59)) = sK59,
inference(superposition,[status(thm)],[c_12926,c_173821]) ).
tcf(c_174095,plain,
tl(cons(sK57,sK56)) = sK56,
inference(superposition,[status(thm)],[c_12924,c_173821]) ).
tcf(c_174096,plain,
tl(cons(sK57,iPr_def_13)) = iPr_def_13,
inference(superposition,[status(thm)],[c_172129,c_173821]) ).
tcf(c_174097,plain,
tl(cons(sK57,iPr_def_11)) = iPr_def_11,
inference(superposition,[status(thm)],[c_172791,c_173821]) ).
tcf(c_174098,plain,
tl(cons(sK57,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_172792,c_173821]) ).
tcf(c_174099,plain,
tl(cons(sK57,iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_172620,c_173821]) ).
tcf(c_174100,plain,
tl(iPr_def_10) = nil,
inference(light_normalisation,[status(thm)],[c_174089,c_12917]) ).
tcf(c_174205,plain,
( frontsegP(sK49(sK59),sK49(sK59))
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(sK49(sK59)) ),
inference(superposition,[status(thm)],[c_173386,c_378]) ).
tcf(c_174206,plain,
( rearsegP(sK49(sK59),nil)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(sK49(sK59)) ),
inference(superposition,[status(thm)],[c_173386,c_375]) ).
tcf(c_174208,plain,
( rearsegP(sK49(sK59),nil)
| ( nil = sK59 )
| ~ ssList(sK49(sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174206,c_141]) ).
tcf(c_174212,plain,
( frontsegP(sK49(sK59),sK49(sK59))
| ( nil = sK59 )
| ~ ssList(sK49(sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174205,c_141]) ).
tcf(c_174265,plain,
( frontsegP(sK49(sK56),sK49(sK56))
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(sK49(sK56)) ),
inference(superposition,[status(thm)],[c_173387,c_378]) ).
tcf(c_174266,plain,
( rearsegP(sK49(sK56),nil)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(sK49(sK56)) ),
inference(superposition,[status(thm)],[c_173387,c_375]) ).
tcf(c_174268,plain,
( rearsegP(sK49(sK56),nil)
| ( nil = sK56 )
| ~ ssList(sK49(sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174266,c_141]) ).
tcf(c_174272,plain,
( frontsegP(sK49(sK56),sK49(sK56))
| ( nil = sK56 )
| ~ ssList(sK49(sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174265,c_141]) ).
tcf(c_174280,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_173183]) ).
tcf(c_174281,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_173183]) ).
tcf(c_174291,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(nil,cons(sK57,sK34(X0))) = cons(sK57,sK34(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_173183]) ).
tcf(c_174292,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(nil,cons(sK57,sK33(X0))) = cons(sK57,sK33(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_173183]) ).
tcf(c_174293,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(nil,cons(sK57,sK32(X0))) = cons(sK57,sK32(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_173183]) ).
tcf(c_174294,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(nil,cons(sK57,sK39(X0))) = cons(sK57,sK39(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_173183]) ).
tcf(c_174295,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(nil,cons(sK57,sK38(X0))) = cons(sK57,sK38(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_173183]) ).
tcf(c_174296,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(nil,cons(sK57,sK37(X0))) = cons(sK57,sK37(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_173183]) ).
tcf(c_174297,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(nil,cons(sK57,sK44(X0))) = cons(sK57,sK44(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_173183]) ).
tcf(c_174298,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(nil,cons(sK57,sK43(X0))) = cons(sK57,sK43(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_173183]) ).
tcf(c_174299,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(nil,cons(sK57,sK42(X0))) = cons(sK57,sK42(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_173183]) ).
tcf(c_174300,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(nil,cons(sK57,sK48(X0))) = cons(sK57,sK48(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_173183]) ).
tcf(c_174301,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(nil,cons(sK57,sK47(X0))) = cons(sK57,sK47(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_173183]) ).
tcf(c_174302,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_173183]) ).
tcf(c_174303,plain,
app(nil,cons(sK57,nil)) = cons(sK57,nil),
inference(superposition,[status(thm)],[c_141,c_173183]) ).
tcf(c_174304,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,cons(sK57,sK49(X0))) = cons(sK57,sK49(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_173183]) ).
tcf(c_174305,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,cons(sK57,tl(X0))) = cons(sK57,tl(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_173183]) ).
tcf(c_174306,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,cons(sK57,sK52(X0))) = cons(sK57,sK52(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_173183]) ).
tcf(c_174307,plain,
app(nil,cons(sK57,sK60)) = cons(sK57,sK60),
inference(superposition,[status(thm)],[c_12927,c_173183]) ).
tcf(c_174308,plain,
app(nil,cons(sK57,sK59)) = cons(sK57,sK59),
inference(superposition,[status(thm)],[c_12926,c_173183]) ).
tcf(c_174309,plain,
app(nil,cons(sK57,sK56)) = cons(sK57,sK56),
inference(superposition,[status(thm)],[c_12924,c_173183]) ).
tcf(c_174310,plain,
app(nil,cons(sK57,iPr_def_13)) = cons(sK57,iPr_def_13),
inference(superposition,[status(thm)],[c_172129,c_173183]) ).
tcf(c_174311,plain,
app(nil,cons(sK57,iPr_def_11)) = cons(sK57,iPr_def_11),
inference(superposition,[status(thm)],[c_172791,c_173183]) ).
tcf(c_174312,plain,
app(nil,cons(sK57,iPr_def_12)) = cons(sK57,iPr_def_12),
inference(superposition,[status(thm)],[c_172792,c_173183]) ).
tcf(c_174313,plain,
app(nil,cons(sK57,iPr_def_10)) = cons(sK57,iPr_def_10),
inference(superposition,[status(thm)],[c_172620,c_173183]) ).
tcf(c_174415,plain,
( memberP(cons(sK57,sK60),sK57)
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(app(nil,cons(sK57,sK60))) ),
inference(superposition,[status(thm)],[c_174307,c_54]) ).
tcf(c_174416,plain,
( frontsegP(cons(sK57,sK60),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_174307,c_378]) ).
tcf(c_174417,plain,
( rearsegP(cons(sK57,sK60),cons(sK57,sK60))
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_174307,c_375]) ).
tcf(c_174419,plain,
( frontsegP(cons(sK57,sK60),nil)
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174416,c_141]) ).
tcf(c_174422,plain,
( rearsegP(cons(sK57,sK60),cons(sK57,sK60))
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174417,c_141]) ).
tcf(c_174425,plain,
( memberP(cons(sK57,sK60),sK57)
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,sK60)) ),
inference(light_normalisation,[status(thm)],[c_174415,c_174307]) ).
tcf(c_174426,plain,
( memberP(cons(sK57,sK60),sK57)
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174425,c_12927,c_141,c_12925]) ).
tcf(c_174429,plain,
( memberP(cons(sK57,sK59),sK57)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(app(nil,cons(sK57,sK59))) ),
inference(superposition,[status(thm)],[c_174308,c_54]) ).
tcf(c_174430,plain,
( frontsegP(cons(sK57,sK59),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_174308,c_378]) ).
tcf(c_174431,plain,
( rearsegP(cons(sK57,sK59),cons(sK57,sK59))
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_174308,c_375]) ).
tcf(c_174433,plain,
( frontsegP(cons(sK57,sK59),nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174430,c_141]) ).
tcf(c_174436,plain,
( rearsegP(cons(sK57,sK59),cons(sK57,sK59))
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174431,c_141]) ).
tcf(c_174439,plain,
( memberP(cons(sK57,sK59),sK57)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,sK59)) ),
inference(light_normalisation,[status(thm)],[c_174429,c_174308]) ).
tcf(c_174440,plain,
( memberP(cons(sK57,sK59),sK57)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174439,c_12926,c_141,c_12925]) ).
tcf(c_174443,plain,
( memberP(cons(sK57,sK56),sK57)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(app(nil,cons(sK57,sK56))) ),
inference(superposition,[status(thm)],[c_174309,c_54]) ).
tcf(c_174444,plain,
( frontsegP(cons(sK57,sK56),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_174309,c_378]) ).
tcf(c_174445,plain,
( rearsegP(cons(sK57,sK56),cons(sK57,sK56))
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_174309,c_375]) ).
tcf(c_174447,plain,
( frontsegP(cons(sK57,sK56),nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174444,c_141]) ).
tcf(c_174450,plain,
( rearsegP(cons(sK57,sK56),cons(sK57,sK56))
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174445,c_141]) ).
tcf(c_174453,plain,
( memberP(cons(sK57,sK56),sK57)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,sK56)) ),
inference(light_normalisation,[status(thm)],[c_174443,c_174309]) ).
tcf(c_174454,plain,
( memberP(cons(sK57,sK56),sK57)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174453,c_12924,c_141,c_12925]) ).
tcf(c_174457,plain,
memberP(cons(sK57,sK60),sK57),
inference(global_subsumption_just,[status(thm)],[c_174426,c_18145,c_44373]) ).
tcf(c_174459,plain,
memberP(cons(sK57,sK59),sK57),
inference(global_subsumption_just,[status(thm)],[c_174440,c_18163,c_45941]) ).
tcf(c_174461,plain,
app(sK49(iPr_def_13),nil) = sK49(iPr_def_13),
inference(global_subsumption_just,[status(thm)],[c_173388,c_17044,c_21048]) ).
tcf(c_174463,plain,
( frontsegP(sK49(iPr_def_13),sK49(iPr_def_13))
| ~ ssList(nil)
| ~ ssList(sK49(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_174461,c_378]) ).
tcf(c_174464,plain,
( rearsegP(sK49(iPr_def_13),nil)
| ~ ssList(nil)
| ~ ssList(sK49(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_174461,c_375]) ).
tcf(c_174466,plain,
( rearsegP(sK49(iPr_def_13),nil)
| ~ ssList(sK49(iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174464,c_141]) ).
tcf(c_174469,plain,
( frontsegP(sK49(iPr_def_13),sK49(iPr_def_13))
| ~ ssList(sK49(iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174463,c_141]) ).
tcf(c_174478,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_174479,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_174489,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_174490,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_174491,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_174492,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_174493,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_174494,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_174495,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_174496,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_174497,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_174498,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_174499,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_174500,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_174502,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_174503,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_174504,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_174505,plain,
( ( nil = sK60 )
| ( hd(sK60) = sK51(sK60) ) ),
inference(superposition,[status(thm)],[c_12927,c_220]) ).
tcf(c_174506,plain,
( ( nil = sK59 )
| ( hd(sK59) = sK51(sK59) ) ),
inference(superposition,[status(thm)],[c_12926,c_220]) ).
tcf(c_174507,plain,
( ( nil = sK56 )
| ( hd(sK56) = sK51(sK56) ) ),
inference(superposition,[status(thm)],[c_12924,c_220]) ).
tcf(c_174508,plain,
( ( nil = iPr_def_13 )
| ( hd(iPr_def_13) = sK51(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_172129,c_220]) ).
tcf(c_174509,plain,
( ( nil = iPr_def_11 )
| ( hd(iPr_def_11) = sK51(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_172791,c_220]) ).
tcf(c_174510,plain,
( ( nil = iPr_def_12 )
| ( hd(iPr_def_12) = sK51(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_172792,c_220]) ).
tcf(c_174511,plain,
( ( nil = iPr_def_10 )
| ( hd(iPr_def_10) = sK51(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_172620,c_220]) ).
tcf(c_174512,plain,
( ( nil = iPr_def_10 )
| ( sK51(iPr_def_10) = sK57 ) ),
inference(light_normalisation,[status(thm)],[c_174511,c_173953]) ).
tcf(c_174513,plain,
sK51(iPr_def_10) = sK57,
inference(forward_subsumption_resolution,[status(thm)],[c_174512,c_173666]) ).
tcf(c_174667,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_174668,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_174678,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_174679,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_174680,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_174681,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_174682,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_174683,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_174684,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_174685,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_174686,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_174687,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_174688,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_174689,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_174691,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_174692,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_174693,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_174694,plain,
( ( nil = sK60 )
| ( tl(sK60) = sK52(sK60) ) ),
inference(superposition,[status(thm)],[c_12927,c_222]) ).
tcf(c_174695,plain,
( ( nil = sK59 )
| ( tl(sK59) = sK52(sK59) ) ),
inference(superposition,[status(thm)],[c_12926,c_222]) ).
tcf(c_174696,plain,
( ( nil = sK56 )
| ( tl(sK56) = sK52(sK56) ) ),
inference(superposition,[status(thm)],[c_12924,c_222]) ).
tcf(c_174697,plain,
( ( nil = iPr_def_13 )
| ( tl(iPr_def_13) = sK52(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_172129,c_222]) ).
tcf(c_174698,plain,
( ( nil = iPr_def_11 )
| ( tl(iPr_def_11) = sK52(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_172791,c_222]) ).
tcf(c_174699,plain,
( ( nil = iPr_def_12 )
| ( tl(iPr_def_12) = sK52(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_172792,c_222]) ).
tcf(c_174700,plain,
( ( nil = iPr_def_10 )
| ( tl(iPr_def_10) = sK52(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_172620,c_222]) ).
tcf(c_174701,plain,
( ( nil = iPr_def_10 )
| ( sK52(iPr_def_10) = nil ) ),
inference(light_normalisation,[status(thm)],[c_174700,c_174100]) ).
tcf(c_174702,plain,
sK52(iPr_def_10) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_174701,c_173666]) ).
tcf(c_174876,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_174877,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_174878,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_173183]) ).
tcf(c_174879,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_173821]) ).
tcf(c_174880,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_173700]) ).
tcf(c_174881,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_172633]) ).
tcf(c_174882,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_174883,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_172683]) ).
tcf(c_174884,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_174885,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_174935,plain,
memberP(cons(sK57,sK56),sK57),
inference(global_subsumption_just,[status(thm)],[c_174454,c_18183,c_49784]) ).
tcf(c_174941,plain,
( ssItem(hd(sK60))
| ( nil = sK60 )
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_174505,c_219]) ).
tcf(c_174942,plain,
( ssItem(hd(sK60))
| ( nil = sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174941,c_12927]) ).
tcf(c_174949,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( tl(cons(hd(sK60),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_174942,c_152]) ).
tcf(c_174950,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( hd(cons(hd(sK60),X0)) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_174942,c_150]) ).
tcf(c_174951,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( app(nil,cons(hd(sK60),X0)) = cons(hd(sK60),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_174942,c_172619]) ).
tcf(c_174952,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( app(cons(hd(sK60),X0),nil) = cons(hd(sK60),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_174942,c_172618]) ).
tcf(c_174973,plain,
( ssItem(hd(sK59))
| ( nil = sK59 )
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_174506,c_219]) ).
tcf(c_174974,plain,
( ssItem(hd(sK59))
| ( nil = sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174973,c_12926]) ).
tcf(c_174981,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( tl(cons(hd(sK59),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_174974,c_152]) ).
tcf(c_174982,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( hd(cons(hd(sK59),X0)) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_174974,c_150]) ).
tcf(c_174983,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( app(nil,cons(hd(sK59),X0)) = cons(hd(sK59),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_174974,c_172619]) ).
tcf(c_174984,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( app(cons(hd(sK59),X0),nil) = cons(hd(sK59),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_174974,c_172618]) ).
tcf(c_175005,plain,
( ssItem(hd(sK56))
| ( nil = sK56 )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_174507,c_219]) ).
tcf(c_175006,plain,
( ssItem(hd(sK56))
| ( nil = sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175005,c_12924]) ).
tcf(c_175013,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( tl(cons(hd(sK56),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175006,c_152]) ).
tcf(c_175014,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( hd(cons(hd(sK56),X0)) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175006,c_150]) ).
tcf(c_175015,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( app(nil,cons(hd(sK56),X0)) = cons(hd(sK56),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175006,c_172619]) ).
tcf(c_175016,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( app(cons(hd(sK56),X0),nil) = cons(hd(sK56),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175006,c_172618]) ).
tcf(c_175036,plain,
( ssList(tl(sK60))
| ( nil = sK60 )
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_174694,c_221]) ).
tcf(c_175037,plain,
( ssList(tl(sK60))
| ( nil = sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175036,c_12927]) ).
tcf(c_175040,plain,
app(sK49(iPr_def_11),nil) = sK49(iPr_def_11),
inference(global_subsumption_just,[status(thm)],[c_173389,c_17045,c_20882]) ).
tcf(c_175042,plain,
( frontsegP(sK49(iPr_def_11),sK49(iPr_def_11))
| ~ ssList(nil)
| ~ ssList(sK49(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_175040,c_378]) ).
tcf(c_175043,plain,
( rearsegP(sK49(iPr_def_11),nil)
| ~ ssList(nil)
| ~ ssList(sK49(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_175040,c_375]) ).
tcf(c_175045,plain,
( rearsegP(sK49(iPr_def_11),nil)
| ~ ssList(sK49(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175043,c_141]) ).
tcf(c_175048,plain,
( frontsegP(sK49(iPr_def_11),sK49(iPr_def_11))
| ~ ssList(sK49(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175042,c_141]) ).
tcf(c_175059,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_175060,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_175061,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_173183]) ).
tcf(c_175062,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_173821]) ).
tcf(c_175063,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_173700]) ).
tcf(c_175064,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_172633]) ).
tcf(c_175065,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_175066,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_172683]) ).
tcf(c_175067,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_175068,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_175132,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_175133,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_175134,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_173183]) ).
tcf(c_175135,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_173821]) ).
tcf(c_175136,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_173700]) ).
tcf(c_175137,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_172633]) ).
tcf(c_175138,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_175139,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_172683]) ).
tcf(c_175140,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_175141,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_175207,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_175208,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_175209,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_173183]) ).
tcf(c_175210,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_173821]) ).
tcf(c_175211,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_173700]) ).
tcf(c_175212,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_172633]) ).
tcf(c_175213,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_175214,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_172683]) ).
tcf(c_175215,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_175216,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_175304,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_175305,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_175306,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_173183]) ).
tcf(c_175307,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_173821]) ).
tcf(c_175308,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_173700]) ).
tcf(c_175309,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_172633]) ).
tcf(c_175310,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_175311,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_172683]) ).
tcf(c_175312,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_175313,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_175361,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_173631,c_54]) ).
tcf(c_175363,plain,
( equalelemsP(iPr_def_13)
| ~ ssItem(sK10(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_173631,c_217]) ).
tcf(c_175365,plain,
( strictorderedP(iPr_def_13)
| ~ ssItem(sK10(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_173631,c_209]) ).
tcf(c_175366,plain,
( totalorderedP(iPr_def_13)
| ~ ssItem(sK10(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_173631,c_203]) ).
tcf(c_175367,plain,
( ~ ssList(nil)
| ~ ssItem(sK10(iPr_def_13))
| ( nil != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_173631,c_148]) ).
tcf(c_175369,plain,
( memberP(iPr_def_13,sK10(iPr_def_13))
| ~ ssList(nil)
| ~ ssItem(sK10(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_173631,c_168]) ).
tcf(c_175377,plain,
( memberP(iPr_def_13,sK10(iPr_def_13))
| ~ ssItem(sK10(iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175369,c_141]) ).
tcf(c_175380,plain,
( ~ ssItem(sK10(iPr_def_13))
| ( nil != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175367,c_141]) ).
tcf(c_175383,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_175361,c_173631]) ).
tcf(c_175384,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_175383,c_141]) ).
tcf(c_175393,plain,
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( tl(tl(sK60)) = sK52(tl(sK60)) ) ),
inference(superposition,[status(thm)],[c_175037,c_222]) ).
tcf(c_175394,plain,
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( hd(tl(sK60)) = sK51(tl(sK60)) ) ),
inference(superposition,[status(thm)],[c_175037,c_220]) ).
tcf(c_175395,plain,
( ( nil = sK60 )
| ( app(nil,cons(sK57,tl(sK60))) = cons(sK57,tl(sK60)) ) ),
inference(superposition,[status(thm)],[c_175037,c_173183]) ).
tcf(c_175396,plain,
( ( nil = sK60 )
| ( tl(cons(sK57,tl(sK60))) = tl(sK60) ) ),
inference(superposition,[status(thm)],[c_175037,c_173821]) ).
tcf(c_175397,plain,
( ( nil = sK60 )
| ( hd(cons(sK57,tl(sK60))) = sK57 ) ),
inference(superposition,[status(thm)],[c_175037,c_173700]) ).
tcf(c_175398,plain,
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( app(sK49(tl(sK60)),nil) = sK49(tl(sK60)) ) ),
inference(superposition,[status(thm)],[c_175037,c_172633]) ).
tcf(c_175399,plain,
( duplicatefreeP(tl(sK60))
| ( nil = sK60 )
| ( sK40(tl(sK60)) = sK41(tl(sK60)) ) ),
inference(superposition,[status(thm)],[c_175037,c_123]) ).
tcf(c_175400,plain,
( ( nil = sK60 )
| ( app(cons(sK57,tl(sK60)),nil) = cons(sK57,tl(sK60)) ) ),
inference(superposition,[status(thm)],[c_175037,c_172683]) ).
tcf(c_175401,plain,
( ( nil = sK60 )
| ( app(tl(sK60),nil) = tl(sK60) ) ),
inference(superposition,[status(thm)],[c_175037,c_232]) ).
tcf(c_175402,plain,
( ( nil = sK60 )
| ( app(nil,tl(sK60)) = tl(sK60) ) ),
inference(superposition,[status(thm)],[c_175037,c_155]) ).
tcf(c_175431,plain,
( ssList(tl(sK59))
| ( nil = sK59 )
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_174695,c_221]) ).
tcf(c_175432,plain,
( ssList(tl(sK59))
| ( nil = sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175431,c_12926]) ).
tcf(c_175439,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( tl(tl(sK59)) = sK52(tl(sK59)) ) ),
inference(superposition,[status(thm)],[c_175432,c_222]) ).
tcf(c_175440,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( hd(tl(sK59)) = sK51(tl(sK59)) ) ),
inference(superposition,[status(thm)],[c_175432,c_220]) ).
tcf(c_175441,plain,
( ( nil = sK59 )
| ( app(nil,cons(sK57,tl(sK59))) = cons(sK57,tl(sK59)) ) ),
inference(superposition,[status(thm)],[c_175432,c_173183]) ).
tcf(c_175442,plain,
( ( nil = sK59 )
| ( tl(cons(sK57,tl(sK59))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_175432,c_173821]) ).
tcf(c_175443,plain,
( ( nil = sK59 )
| ( hd(cons(sK57,tl(sK59))) = sK57 ) ),
inference(superposition,[status(thm)],[c_175432,c_173700]) ).
tcf(c_175444,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( app(sK49(tl(sK59)),nil) = sK49(tl(sK59)) ) ),
inference(superposition,[status(thm)],[c_175432,c_172633]) ).
tcf(c_175445,plain,
( duplicatefreeP(tl(sK59))
| ( nil = sK59 )
| ( sK40(tl(sK59)) = sK41(tl(sK59)) ) ),
inference(superposition,[status(thm)],[c_175432,c_123]) ).
tcf(c_175446,plain,
( ( nil = sK59 )
| ( app(cons(sK57,tl(sK59)),nil) = cons(sK57,tl(sK59)) ) ),
inference(superposition,[status(thm)],[c_175432,c_172683]) ).
tcf(c_175447,plain,
( ( nil = sK59 )
| ( app(tl(sK59),nil) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_175432,c_232]) ).
tcf(c_175448,plain,
( ( nil = sK59 )
| ( app(nil,tl(sK59)) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_175432,c_155]) ).
tcf(c_175477,plain,
( ssList(tl(sK56))
| ( nil = sK56 )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_174696,c_221]) ).
tcf(c_175478,plain,
( ssList(tl(sK56))
| ( nil = sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175477,c_12924]) ).
tcf(c_175485,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( tl(tl(sK56)) = sK52(tl(sK56)) ) ),
inference(superposition,[status(thm)],[c_175478,c_222]) ).
tcf(c_175486,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( hd(tl(sK56)) = sK51(tl(sK56)) ) ),
inference(superposition,[status(thm)],[c_175478,c_220]) ).
tcf(c_175487,plain,
( ( nil = sK56 )
| ( app(nil,cons(sK57,tl(sK56))) = cons(sK57,tl(sK56)) ) ),
inference(superposition,[status(thm)],[c_175478,c_173183]) ).
tcf(c_175488,plain,
( ( nil = sK56 )
| ( tl(cons(sK57,tl(sK56))) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_175478,c_173821]) ).
tcf(c_175489,plain,
( ( nil = sK56 )
| ( hd(cons(sK57,tl(sK56))) = sK57 ) ),
inference(superposition,[status(thm)],[c_175478,c_173700]) ).
tcf(c_175490,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( app(sK49(tl(sK56)),nil) = sK49(tl(sK56)) ) ),
inference(superposition,[status(thm)],[c_175478,c_172633]) ).
tcf(c_175491,plain,
( duplicatefreeP(tl(sK56))
| ( nil = sK56 )
| ( sK40(tl(sK56)) = sK41(tl(sK56)) ) ),
inference(superposition,[status(thm)],[c_175478,c_123]) ).
tcf(c_175492,plain,
( ( nil = sK56 )
| ( app(cons(sK57,tl(sK56)),nil) = cons(sK57,tl(sK56)) ) ),
inference(superposition,[status(thm)],[c_175478,c_172683]) ).
tcf(c_175493,plain,
( ( nil = sK56 )
| ( app(tl(sK56),nil) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_175478,c_232]) ).
tcf(c_175494,plain,
( ( nil = sK56 )
| ( app(nil,tl(sK56)) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_175478,c_155]) ).
tcf(c_175554,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_173637,c_54]) ).
tcf(c_175562,plain,
( memberP(iPr_def_10,sK10(iPr_def_10))
| ~ ssList(nil)
| ~ ssItem(sK10(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_173637,c_168]) ).
tcf(c_175564,plain,
( memberP(iPr_def_10,sK10(iPr_def_10))
| ~ ssItem(sK10(iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175562,c_141]) ).
tcf(c_175567,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_175554,c_173637]) ).
tcf(c_175568,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_175567,c_141]) ).
tcf(c_175575,plain,
app(sK49(iPr_def_12),nil) = sK49(iPr_def_12),
inference(global_subsumption_just,[status(thm)],[c_173390,c_17046,c_20881]) ).
tcf(c_175577,plain,
( frontsegP(sK49(iPr_def_12),sK49(iPr_def_12))
| ~ ssList(nil)
| ~ ssList(sK49(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_175575,c_378]) ).
tcf(c_175578,plain,
( rearsegP(sK49(iPr_def_12),nil)
| ~ ssList(nil)
| ~ ssList(sK49(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_175575,c_375]) ).
tcf(c_175580,plain,
( rearsegP(sK49(iPr_def_12),nil)
| ~ ssList(sK49(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175578,c_141]) ).
tcf(c_175583,plain,
( frontsegP(sK49(iPr_def_12),sK49(iPr_def_12))
| ~ ssList(sK49(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175577,c_141]) ).
tcf(c_175608,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_175609,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_175610,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_175611,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_175612,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_175613,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_175614,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_175624,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_175625,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_175626,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_175627,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_175628,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_175629,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_175630,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_175631,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_175632,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_175633,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_175634,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_175635,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_175637,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_175638,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_175639,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_175640,plain,
( ( nil = sK60 )
| ( cons(sK50(sK60),sK49(sK60)) = sK60 ) ),
inference(superposition,[status(thm)],[c_12927,c_147]) ).
tcf(c_175641,plain,
( ( nil = sK59 )
| ( cons(sK50(sK59),sK49(sK59)) = sK59 ) ),
inference(superposition,[status(thm)],[c_12926,c_147]) ).
tcf(c_175642,plain,
( ( nil = sK56 )
| ( cons(sK50(sK56),sK49(sK56)) = sK56 ) ),
inference(superposition,[status(thm)],[c_12924,c_147]) ).
tcf(c_175643,plain,
( ( nil = iPr_def_13 )
| ( cons(sK50(iPr_def_13),sK49(iPr_def_13)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_172129,c_147]) ).
tcf(c_175644,plain,
( ( nil = iPr_def_11 )
| ( cons(sK50(iPr_def_11),sK49(iPr_def_11)) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_172791,c_147]) ).
tcf(c_175645,plain,
( ( nil = iPr_def_12 )
| ( cons(sK50(iPr_def_12),sK49(iPr_def_12)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_172792,c_147]) ).
tcf(c_175646,plain,
( ( nil = iPr_def_10 )
| ( cons(sK50(iPr_def_10),sK49(iPr_def_10)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_172620,c_147]) ).
tcf(c_175647,plain,
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( cons(sK50(tl(sK60)),sK49(tl(sK60))) = tl(sK60) ) ),
inference(superposition,[status(thm)],[c_175037,c_147]) ).
tcf(c_175648,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( cons(sK50(tl(sK59)),sK49(tl(sK59))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_175432,c_147]) ).
tcf(c_175649,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( cons(sK50(tl(sK56)),sK49(tl(sK56))) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_175478,c_147]) ).
tcf(c_175650,plain,
cons(sK50(iPr_def_10),sK49(iPr_def_10)) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_175646,c_173666]) ).
tcf(c_175799,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_175800,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_175801,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_175802,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_175803,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_175804,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_175805,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_175815,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_175816,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_175817,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_175818,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_175819,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_175820,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_175821,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_175822,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_175823,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_175824,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_175825,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_175826,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_175828,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_175829,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_175830,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_175831,plain,
( ( nil = sK60 )
| ( cons(hd(sK60),tl(sK60)) = sK60 ) ),
inference(superposition,[status(thm)],[c_12927,c_224]) ).
tcf(c_175832,plain,
( ( nil = sK59 )
| ( cons(hd(sK59),tl(sK59)) = sK59 ) ),
inference(superposition,[status(thm)],[c_12926,c_224]) ).
tcf(c_175833,plain,
( ( nil = sK56 )
| ( cons(hd(sK56),tl(sK56)) = sK56 ) ),
inference(superposition,[status(thm)],[c_12924,c_224]) ).
tcf(c_175834,plain,
( ( nil = iPr_def_13 )
| ( cons(hd(iPr_def_13),tl(iPr_def_13)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_172129,c_224]) ).
tcf(c_175835,plain,
( ( nil = iPr_def_11 )
| ( cons(hd(iPr_def_11),tl(iPr_def_11)) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_172791,c_224]) ).
tcf(c_175836,plain,
( ( nil = iPr_def_12 )
| ( cons(hd(iPr_def_12),tl(iPr_def_12)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_172792,c_224]) ).
tcf(c_175837,plain,
( ( nil = iPr_def_10 )
| ( cons(hd(iPr_def_10),tl(iPr_def_10)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_172620,c_224]) ).
tcf(c_175838,plain,
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( cons(hd(tl(sK60)),tl(tl(sK60))) = tl(sK60) ) ),
inference(superposition,[status(thm)],[c_175037,c_224]) ).
tcf(c_175839,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( cons(hd(tl(sK59)),tl(tl(sK59))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_175432,c_224]) ).
tcf(c_175840,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( cons(hd(tl(sK56)),tl(tl(sK56))) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_175478,c_224]) ).
tcf(c_176156,plain,
equalelemsP(iPr_def_13),
inference(global_subsumption_just,[status(thm)],[c_175363,c_20305]) ).
tcf(c_176158,plain,
strictorderedP(iPr_def_13),
inference(global_subsumption_just,[status(thm)],[c_175365,c_20896]) ).
tcf(c_176164,plain,
totalorderedP(iPr_def_13),
inference(global_subsumption_just,[status(thm)],[c_175366,c_21289]) ).
tcf(c_176203,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_175640,c_54]) ).
tcf(c_176205,plain,
( ( nil = sK60 )
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ( sK49(sK60) != sK60 ) ),
inference(superposition,[status(thm)],[c_175640,c_142]) ).
tcf(c_176206,plain,
( memberP(sK60,sK50(sK60))
| ( nil = sK60 )
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60)) ),
inference(superposition,[status(thm)],[c_175640,c_168]) ).
tcf(c_176254,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_175641,c_54]) ).
tcf(c_176256,plain,
( ( nil = sK59 )
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ( sK49(sK59) != sK59 ) ),
inference(superposition,[status(thm)],[c_175641,c_142]) ).
tcf(c_176257,plain,
( memberP(sK59,sK50(sK59))
| ( nil = sK59 )
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59)) ),
inference(superposition,[status(thm)],[c_175641,c_168]) ).
tcf(c_176277,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_175642,c_54]) ).
tcf(c_176279,plain,
( ( nil = sK56 )
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ( sK49(sK56) != sK56 ) ),
inference(superposition,[status(thm)],[c_175642,c_142]) ).
tcf(c_176280,plain,
( memberP(sK56,sK50(sK56))
| ( nil = sK56 )
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56)) ),
inference(superposition,[status(thm)],[c_175642,c_168]) ).
tcf(c_176300,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_175831,c_54]) ).
tcf(c_176302,plain,
( ( nil = sK60 )
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ( tl(sK60) != sK60 ) ),
inference(superposition,[status(thm)],[c_175831,c_142]) ).
tcf(c_176303,plain,
( memberP(sK60,hd(sK60))
| ( nil = sK60 )
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60)) ),
inference(superposition,[status(thm)],[c_175831,c_168]) ).
tcf(c_176323,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_175832,c_54]) ).
tcf(c_176325,plain,
( ( nil = sK59 )
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ( tl(sK59) != sK59 ) ),
inference(superposition,[status(thm)],[c_175832,c_142]) ).
tcf(c_176326,plain,
( memberP(sK59,hd(sK59))
| ( nil = sK59 )
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59)) ),
inference(superposition,[status(thm)],[c_175832,c_168]) ).
tcf(c_176346,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_175833,c_54]) ).
tcf(c_176348,plain,
( ( nil = sK56 )
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ( tl(sK56) != sK56 ) ),
inference(superposition,[status(thm)],[c_175833,c_142]) ).
tcf(c_176349,plain,
( memberP(sK56,hd(sK56))
| ( nil = sK56 )
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56)) ),
inference(superposition,[status(thm)],[c_175833,c_168]) ).
tcf(c_176367,plain,
app(sK49(iPr_def_10),nil) = sK49(iPr_def_10),
inference(global_subsumption_just,[status(thm)],[c_173391,c_17047,c_17342]) ).
tcf(c_176369,plain,
( frontsegP(sK49(iPr_def_10),sK49(iPr_def_10))
| ~ ssList(nil)
| ~ ssList(sK49(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_176367,c_378]) ).
tcf(c_176370,plain,
( rearsegP(sK49(iPr_def_10),nil)
| ~ ssList(nil)
| ~ ssList(sK49(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_176367,c_375]) ).
tcf(c_176372,plain,
( rearsegP(sK49(iPr_def_10),nil)
| ~ ssList(sK49(iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_176370,c_141]) ).
tcf(c_176375,plain,
( frontsegP(sK49(iPr_def_10),sK49(iPr_def_10))
| ~ ssList(sK49(iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_176369,c_141]) ).
tcf(c_176386,plain,
! [X0: $i] :
( ( app(cons(sK6,nil),X0) = cons(sK6,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_51,c_227]) ).
tcf(c_176387,plain,
! [X0: $i] :
( ( app(cons(sK7,nil),X0) = cons(sK7,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_52,c_227]) ).
tcf(c_176388,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_176395,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_176396,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_176397,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_176398,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_176399,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_176400,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_176401,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_176402,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_176403,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_176404,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_176405,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_176406,plain,
! [X0: $i] :
( ( app(cons(sK57,nil),X0) = cons(sK57,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12925,c_227]) ).
tcf(c_176407,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( app(cons(hd(sK60),nil),X0) = cons(hd(sK60),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_174942,c_227]) ).
tcf(c_176408,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( app(cons(hd(sK59),nil),X0) = cons(hd(sK59),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_174974,c_227]) ).
tcf(c_176409,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( app(cons(hd(sK56),nil),X0) = cons(hd(sK56),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175006,c_227]) ).
tcf(c_176410,plain,
! [X0: $i] :
( ( cons(sK57,X0) = app(iPr_def_10,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_176406,c_12917]) ).
tcf(c_176721,plain,
( totalorderedP(sK49(sK60))
| ( nil = sK60 )
| ( sK49(sK60) = nil )
| ~ totalorderedP(sK60)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60)) ),
inference(superposition,[status(thm)],[c_175640,c_207]) ).
tcf(c_176722,plain,
( totalorderedP(sK49(sK59))
| ( nil = sK59 )
| ( sK49(sK59) = nil )
| ~ totalorderedP(sK59)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59)) ),
inference(superposition,[status(thm)],[c_175641,c_207]) ).
tcf(c_176723,plain,
( totalorderedP(sK49(sK56))
| ( nil = sK56 )
| ( sK49(sK56) = nil )
| ~ totalorderedP(sK56)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56)) ),
inference(superposition,[status(thm)],[c_175642,c_207]) ).
tcf(c_176724,plain,
( totalorderedP(tl(sK60))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ totalorderedP(sK60)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60)) ),
inference(superposition,[status(thm)],[c_175831,c_207]) ).
tcf(c_176725,plain,
( totalorderedP(tl(sK59))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ totalorderedP(sK59)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59)) ),
inference(superposition,[status(thm)],[c_175832,c_207]) ).
tcf(c_176726,plain,
( totalorderedP(tl(sK56))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ totalorderedP(sK56)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56)) ),
inference(superposition,[status(thm)],[c_175833,c_207]) ).
tcf(c_176824,plain,
( strictorderedP(sK49(sK60))
| ( nil = sK60 )
| ( sK49(sK60) = nil )
| ~ strictorderedP(sK60)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60)) ),
inference(superposition,[status(thm)],[c_175640,c_213]) ).
tcf(c_176825,plain,
( strictorderedP(sK49(sK59))
| ( nil = sK59 )
| ( sK49(sK59) = nil )
| ~ strictorderedP(sK59)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59)) ),
inference(superposition,[status(thm)],[c_175641,c_213]) ).
tcf(c_176826,plain,
( strictorderedP(sK49(sK56))
| ( nil = sK56 )
| ( sK49(sK56) = nil )
| ~ strictorderedP(sK56)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56)) ),
inference(superposition,[status(thm)],[c_175642,c_213]) ).
tcf(c_176827,plain,
( strictorderedP(tl(sK60))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ strictorderedP(sK60)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60)) ),
inference(superposition,[status(thm)],[c_175831,c_213]) ).
tcf(c_176828,plain,
( strictorderedP(tl(sK59))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ strictorderedP(sK59)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59)) ),
inference(superposition,[status(thm)],[c_175832,c_213]) ).
tcf(c_176829,plain,
( strictorderedP(tl(sK56))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ strictorderedP(sK56)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56)) ),
inference(superposition,[status(thm)],[c_175833,c_213]) ).
tcf(c_176875,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_176876,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_176877,plain,
( ( nil = sK60 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK60)
| ( nil != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_12920,c_230]) ).
tcf(c_176909,plain,
( ( nil = sK60 )
| ( nil != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_176877,c_172792,c_12927]) ).
tcf(c_176912,plain,
nil != iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_176876,c_173666,c_172791,c_172620]) ).
tcf(c_176913,plain,
nil != iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_176875,c_173666,c_172620,c_12926]) ).
tcf(c_176916,plain,
nil != iPr_def_13,
inference(global_subsumption_just,[status(thm)],[c_176909,c_21048]) ).
tcf(c_176919,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_175650,c_54]) ).
tcf(c_176920,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_175650,c_213]) ).
tcf(c_176921,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_175650,c_207]) ).
tcf(c_176923,plain,
( ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ( sK49(iPr_def_10) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_175650,c_142]) ).
tcf(c_176924,plain,
( memberP(iPr_def_10,sK50(iPr_def_10))
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_175650,c_168]) ).
tcf(c_176932,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_176921,c_172238]) ).
tcf(c_176937,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_176920,c_172244]) ).
tcf(c_176942,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_176919,c_175650]) ).
tcf(c_176968,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_174310,c_54]) ).
tcf(c_176970,plain,
( frontsegP(cons(sK57,iPr_def_13),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_174310,c_378]) ).
tcf(c_176971,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_174310,c_375]) ).
tcf(c_176973,plain,
( frontsegP(cons(sK57,iPr_def_13),nil)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_176970,c_141]) ).
tcf(c_176976,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_176971,c_141]) ).
tcf(c_176979,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_176968,c_174310]) ).
tcf(c_176980,plain,
( memberP(cons(sK57,iPr_def_13),sK57)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_176979,c_172129,c_141,c_12925]) ).
tcf(c_177058,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_177059,plain,
! [X0: $i] :
( ( app(X0,sK11(X0,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175,c_63]) ).
tcf(c_177060,plain,
! [X0: $i] :
( ( app(nil,sK11(X0,nil)) = X0 )
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_180,c_63]) ).
tcf(c_177061,plain,
( ( app(nil,sK11(nil,nil)) = nil )
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_367,c_63]) ).
tcf(c_177062,plain,
( ( app(sK59,sK11(iPr_def_11,sK59)) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_173570,c_63]) ).
tcf(c_177063,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_173569,c_63]) ).
tcf(c_177064,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_173568,c_63]) ).
tcf(c_177065,plain,
( ( app(nil,sK11(iPr_def_10,nil)) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173567,c_63]) ).
tcf(c_177066,plain,
( ( app(nil,sK11(sK60,nil)) = sK60 )
| ~ ssList(sK60)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173566,c_63]) ).
tcf(c_177067,plain,
( ( app(nil,sK11(sK59,nil)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173565,c_63]) ).
tcf(c_177068,plain,
( ( app(nil,sK11(sK56,nil)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173564,c_63]) ).
tcf(c_177069,plain,
( ( app(nil,sK11(iPr_def_13,nil)) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173563,c_63]) ).
tcf(c_177070,plain,
( ( app(sK60,sK11(sK60,sK60)) = sK60 )
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_173562,c_63]) ).
tcf(c_177071,plain,
( ( app(sK59,sK11(sK59,sK59)) = sK59 )
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_173561,c_63]) ).
tcf(c_177072,plain,
( ( app(sK56,sK11(sK56,sK56)) = sK56 )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_173560,c_63]) ).
tcf(c_177073,plain,
( ( app(iPr_def_13,sK11(iPr_def_13,iPr_def_13)) = iPr_def_13 )
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_173559,c_63]) ).
tcf(c_177074,plain,
( ( app(iPr_def_10,sK11(iPr_def_10,iPr_def_10)) = iPr_def_10 )
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_173558,c_63]) ).
tcf(c_177075,plain,
( ( app(iPr_def_11,sK11(iPr_def_11,iPr_def_11)) = iPr_def_11 )
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_173557,c_63]) ).
tcf(c_177076,plain,
( ( app(nil,sK11(iPr_def_11,nil)) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173556,c_63]) ).
tcf(c_177077,plain,
( ( app(iPr_def_12,sK11(iPr_def_12,iPr_def_12)) = iPr_def_12 )
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_173555,c_63]) ).
tcf(c_177078,plain,
( ( app(nil,sK11(iPr_def_12,nil)) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173554,c_63]) ).
tcf(c_177079,plain,
app(iPr_def_12,sK11(iPr_def_12,iPr_def_12)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_177077,c_172792]) ).
tcf(c_177080,plain,
app(iPr_def_11,sK11(iPr_def_11,iPr_def_11)) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_177075,c_172791]) ).
tcf(c_177081,plain,
app(iPr_def_10,sK11(iPr_def_10,iPr_def_10)) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_177074,c_172620]) ).
tcf(c_177082,plain,
app(iPr_def_13,sK11(iPr_def_13,iPr_def_13)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_177073,c_172129]) ).
tcf(c_177083,plain,
app(sK56,sK11(sK56,sK56)) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_177072,c_12924]) ).
tcf(c_177084,plain,
app(sK59,sK11(sK59,sK59)) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_177071,c_12926]) ).
tcf(c_177085,plain,
app(sK60,sK11(sK60,sK60)) = sK60,
inference(forward_subsumption_resolution,[status(thm)],[c_177070,c_12927]) ).
tcf(c_177086,plain,
app(nil,sK11(nil,nil)) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_177061,c_141]) ).
tcf(c_177089,plain,
app(nil,sK11(iPr_def_12,nil)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_177078,c_172792,c_141]) ).
tcf(c_177090,plain,
app(nil,sK11(iPr_def_11,nil)) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_177076,c_172791,c_141]) ).
tcf(c_177091,plain,
app(nil,sK11(iPr_def_13,nil)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_177069,c_172129,c_141]) ).
tcf(c_177092,plain,
app(nil,sK11(sK56,nil)) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_177068,c_12924,c_141]) ).
tcf(c_177093,plain,
app(nil,sK11(sK59,nil)) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_177067,c_12926,c_141]) ).
tcf(c_177094,plain,
app(nil,sK11(sK60,nil)) = sK60,
inference(forward_subsumption_resolution,[status(thm)],[c_177066,c_12927,c_141]) ).
tcf(c_177095,plain,
app(nil,sK11(iPr_def_10,nil)) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_177065,c_172620,c_141]) ).
tcf(c_177096,plain,
app(iPr_def_12,sK11(iPr_def_13,iPr_def_12)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_177064,c_172129,c_172792]) ).
tcf(c_177097,plain,
app(iPr_def_11,sK11(iPr_def_12,iPr_def_11)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_177063,c_172792,c_172791]) ).
tcf(c_177098,plain,
app(sK59,sK11(iPr_def_11,sK59)) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_177062,c_172791,c_12926]) ).
tcf(c_177099,plain,
! [X0: $i] :
( ( app(nil,sK11(X0,nil)) = X0 )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177060,c_141]) ).
tcf(c_177114,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_177115,plain,
! [X0: $i] :
( ( app(sK12(X0,X0),X0) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_185,c_66]) ).
tcf(c_177116,plain,
! [X0: $i] :
( ( app(sK12(X0,nil),nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_187,c_66]) ).
tcf(c_177117,plain,
( ( app(sK12(nil,nil),nil) = nil )
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_365,c_66]) ).
tcf(c_177118,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_173330,c_66]) ).
tcf(c_177119,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_173329,c_66]) ).
tcf(c_177120,plain,
( ( app(sK12(iPr_def_13,sK60),sK60) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_173328,c_66]) ).
tcf(c_177121,plain,
( ( app(sK12(iPr_def_10,iPr_def_10),iPr_def_10) = iPr_def_10 )
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_173327,c_66]) ).
tcf(c_177122,plain,
( ( app(sK12(sK60,sK60),sK60) = sK60 )
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_173326,c_66]) ).
tcf(c_177123,plain,
( ( app(sK12(sK59,sK59),sK59) = sK59 )
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_173325,c_66]) ).
tcf(c_177124,plain,
( ( app(sK12(sK56,sK56),sK56) = sK56 )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_173324,c_66]) ).
tcf(c_177125,plain,
( ( app(sK12(iPr_def_13,iPr_def_13),iPr_def_13) = iPr_def_13 )
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_173323,c_66]) ).
tcf(c_177126,plain,
( ( app(sK12(sK60,nil),nil) = sK60 )
| ~ ssList(sK60)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173322,c_66]) ).
tcf(c_177127,plain,
( ( app(sK12(sK59,nil),nil) = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173321,c_66]) ).
tcf(c_177128,plain,
( ( app(sK12(sK56,nil),nil) = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173320,c_66]) ).
tcf(c_177129,plain,
( ( app(sK12(iPr_def_13,nil),nil) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173319,c_66]) ).
tcf(c_177130,plain,
( ( app(sK12(iPr_def_10,nil),nil) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173318,c_66]) ).
tcf(c_177131,plain,
( ( app(sK12(iPr_def_11,nil),nil) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173317,c_66]) ).
tcf(c_177132,plain,
( ( app(sK12(iPr_def_11,iPr_def_11),iPr_def_11) = iPr_def_11 )
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_173316,c_66]) ).
tcf(c_177133,plain,
( ( app(sK12(iPr_def_12,nil),nil) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_173315,c_66]) ).
tcf(c_177134,plain,
( ( app(sK12(iPr_def_12,iPr_def_12),iPr_def_12) = iPr_def_12 )
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_173314,c_66]) ).
tcf(c_177135,plain,
app(sK12(iPr_def_12,iPr_def_12),iPr_def_12) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_177134,c_172792]) ).
tcf(c_177136,plain,
app(sK12(iPr_def_11,iPr_def_11),iPr_def_11) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_177132,c_172791]) ).
tcf(c_177137,plain,
app(sK12(iPr_def_13,iPr_def_13),iPr_def_13) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_177125,c_172129]) ).
tcf(c_177138,plain,
app(sK12(sK56,sK56),sK56) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_177124,c_12924]) ).
tcf(c_177139,plain,
app(sK12(sK59,sK59),sK59) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_177123,c_12926]) ).
tcf(c_177140,plain,
app(sK12(sK60,sK60),sK60) = sK60,
inference(forward_subsumption_resolution,[status(thm)],[c_177122,c_12927]) ).
tcf(c_177141,plain,
app(sK12(iPr_def_10,iPr_def_10),iPr_def_10) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_177121,c_172620]) ).
tcf(c_177142,plain,
app(sK12(nil,nil),nil) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_177117,c_141]) ).
tcf(c_177145,plain,
app(sK12(iPr_def_12,nil),nil) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_177133,c_172792,c_141]) ).
tcf(c_177146,plain,
app(sK12(iPr_def_11,nil),nil) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_177131,c_172791,c_141]) ).
tcf(c_177147,plain,
app(sK12(iPr_def_10,nil),nil) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_177130,c_172620,c_141]) ).
tcf(c_177148,plain,
app(sK12(iPr_def_13,nil),nil) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_177129,c_172129,c_141]) ).
tcf(c_177149,plain,
app(sK12(sK56,nil),nil) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_177128,c_12924,c_141]) ).
tcf(c_177150,plain,
app(sK12(sK59,nil),nil) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_177127,c_12926,c_141]) ).
tcf(c_177151,plain,
app(sK12(sK60,nil),nil) = sK60,
inference(forward_subsumption_resolution,[status(thm)],[c_177126,c_12927,c_141]) ).
tcf(c_177152,plain,
app(sK12(iPr_def_13,sK60),sK60) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_177120,c_172129,c_12927]) ).
tcf(c_177153,plain,
app(sK12(iPr_def_12,iPr_def_10),iPr_def_10) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_177119,c_172792,c_172620]) ).
tcf(c_177154,plain,
app(sK12(iPr_def_11,iPr_def_10),iPr_def_10) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_177118,c_172791,c_172620]) ).
tcf(c_177155,plain,
! [X0: $i] :
( ( app(sK12(X0,nil),nil) = X0 )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177116,c_141]) ).
tcf(c_177295,plain,
( ( sK11(sK56,sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(sK11(sK56,sK56))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_177083,c_230]) ).
tcf(c_177297,plain,
( rearsegP(sK56,sK11(sK56,sK56))
| ~ ssList(sK56)
| ~ ssList(sK11(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_177083,c_375]) ).
tcf(c_177299,plain,
( rearsegP(sK56,sK11(sK56,sK56))
| ~ ssList(sK11(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177297,c_12924]) ).
tcf(c_177302,plain,
( ( sK11(sK56,sK56) = nil )
| ~ ssList(sK11(sK56,sK56))
| ( nil != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177295,c_12924]) ).
tcf(c_177307,plain,
( ( sK11(sK59,sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(sK11(sK59,sK59))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_177084,c_230]) ).
tcf(c_177309,plain,
( rearsegP(sK59,sK11(sK59,sK59))
| ~ ssList(sK59)
| ~ ssList(sK11(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_177084,c_375]) ).
tcf(c_177311,plain,
( rearsegP(sK59,sK11(sK59,sK59))
| ~ ssList(sK11(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177309,c_12926]) ).
tcf(c_177314,plain,
( ( sK11(sK59,sK59) = nil )
| ~ ssList(sK11(sK59,sK59))
| ( nil != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177307,c_12926]) ).
tcf(c_177319,plain,
( ( sK11(sK60,sK60) = nil )
| ~ ssList(sK60)
| ~ ssList(sK11(sK60,sK60))
| ( nil != sK60 ) ),
inference(superposition,[status(thm)],[c_177085,c_230]) ).
tcf(c_177321,plain,
( rearsegP(sK60,sK11(sK60,sK60))
| ~ ssList(sK60)
| ~ ssList(sK11(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_177085,c_375]) ).
tcf(c_177323,plain,
( rearsegP(sK60,sK11(sK60,sK60))
| ~ ssList(sK11(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177321,c_12927]) ).
tcf(c_177326,plain,
( ( sK11(sK60,sK60) = nil )
| ~ ssList(sK11(sK60,sK60))
| ( nil != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177319,c_12927]) ).
tcf(c_177331,plain,
( ( sK11(sK56,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK11(sK56,nil))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_177092,c_230]) ).
tcf(c_177333,plain,
( rearsegP(sK56,sK11(sK56,nil))
| ~ ssList(nil)
| ~ ssList(sK11(sK56,nil)) ),
inference(superposition,[status(thm)],[c_177092,c_375]) ).
tcf(c_177335,plain,
( rearsegP(sK56,sK11(sK56,nil))
| ~ ssList(sK11(sK56,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177333,c_141]) ).
tcf(c_177338,plain,
( ( sK11(sK56,nil) = nil )
| ~ ssList(sK11(sK56,nil))
| ( nil != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177331,c_141]) ).
tcf(c_177343,plain,
( ( sK11(sK59,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK11(sK59,nil))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_177093,c_230]) ).
tcf(c_177345,plain,
( rearsegP(sK59,sK11(sK59,nil))
| ~ ssList(nil)
| ~ ssList(sK11(sK59,nil)) ),
inference(superposition,[status(thm)],[c_177093,c_375]) ).
tcf(c_177347,plain,
( rearsegP(sK59,sK11(sK59,nil))
| ~ ssList(sK11(sK59,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177345,c_141]) ).
tcf(c_177350,plain,
( ( sK11(sK59,nil) = nil )
| ~ ssList(sK11(sK59,nil))
| ( nil != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177343,c_141]) ).
tcf(c_177355,plain,
( ( sK11(sK60,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK11(sK60,nil))
| ( nil != sK60 ) ),
inference(superposition,[status(thm)],[c_177094,c_230]) ).
tcf(c_177357,plain,
( rearsegP(sK60,sK11(sK60,nil))
| ~ ssList(nil)
| ~ ssList(sK11(sK60,nil)) ),
inference(superposition,[status(thm)],[c_177094,c_375]) ).
tcf(c_177359,plain,
( rearsegP(sK60,sK11(sK60,nil))
| ~ ssList(sK11(sK60,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177357,c_141]) ).
tcf(c_177362,plain,
( ( sK11(sK60,nil) = nil )
| ~ ssList(sK11(sK60,nil))
| ( nil != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177355,c_141]) ).
tcf(c_177369,plain,
( rearsegP(iPr_def_11,sK11(iPr_def_11,sK59))
| ~ ssList(sK59)
| ~ ssList(sK11(iPr_def_11,sK59)) ),
inference(superposition,[status(thm)],[c_177098,c_375]) ).
tcf(c_177371,plain,
( rearsegP(iPr_def_11,sK11(iPr_def_11,sK59))
| ~ ssList(sK11(iPr_def_11,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177369,c_12926]) ).
tcf(c_177413,plain,
( ( sK12(sK56,sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(sK12(sK56,sK56))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_177138,c_231]) ).
tcf(c_177415,plain,
( frontsegP(sK56,sK12(sK56,sK56))
| ~ ssList(sK56)
| ~ ssList(sK12(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_177138,c_378]) ).
tcf(c_177418,plain,
( frontsegP(sK56,sK12(sK56,sK56))
| ~ ssList(sK12(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177415,c_12924]) ).
tcf(c_177421,plain,
( ( sK12(sK56,sK56) = nil )
| ~ ssList(sK12(sK56,sK56))
| ( nil != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177413,c_12924]) ).
tcf(c_177425,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_174311,c_54]) ).
tcf(c_177428,plain,
( frontsegP(cons(sK57,iPr_def_11),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_174311,c_378]) ).
tcf(c_177429,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_174311,c_375]) ).
tcf(c_177431,plain,
( frontsegP(cons(sK57,iPr_def_11),nil)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177428,c_141]) ).
tcf(c_177434,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_177429,c_141]) ).
tcf(c_177437,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_177425,c_174311]) ).
tcf(c_177438,plain,
( memberP(cons(sK57,iPr_def_11),sK57)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177437,c_172791,c_141,c_12925]) ).
tcf(c_177475,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_177476,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_177477,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_177511,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_177098,c_165]) ).
tcf(c_177518,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(sK12(sK56,sK56))
| ~ memberP(sK12(sK56,sK56),X0) ),
inference(superposition,[status(thm)],[c_177138,c_165]) ).
tcf(c_177519,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177477,c_172792,c_12927]) ).
tcf(c_177523,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177476,c_172791,c_172620]) ).
tcf(c_177527,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177475,c_172620,c_12926]) ).
tcf(c_177532,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK56,sK56))
| ~ memberP(sK12(sK56,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177518,c_12924]) ).
tcf(c_177548,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_177549,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_177550,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_177572,plain,
! [X0: $i] :
( memberP(sK49(sK60),X0)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK49(sK60))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_173385,c_166]) ).
tcf(c_177573,plain,
! [X0: $i] :
( memberP(sK49(sK59),X0)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK49(sK59))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_173386,c_166]) ).
tcf(c_177574,plain,
! [X0: $i] :
( memberP(sK49(sK56),X0)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK49(sK56))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_173387,c_166]) ).
tcf(c_177575,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_174461,c_166]) ).
tcf(c_177576,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_175040,c_166]) ).
tcf(c_177577,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_175575,c_166]) ).
tcf(c_177578,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_176367,c_166]) ).
tcf(c_177584,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_177098,c_166]) ).
tcf(c_177585,plain,
! [X0: $i] :
( memberP(sK60,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK11(sK60,nil))
| ~ memberP(sK11(sK60,nil),X0) ),
inference(superposition,[status(thm)],[c_177094,c_166]) ).
tcf(c_177586,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK11(sK59,nil))
| ~ memberP(sK11(sK59,nil),X0) ),
inference(superposition,[status(thm)],[c_177093,c_166]) ).
tcf(c_177587,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK11(sK56,nil))
| ~ memberP(sK11(sK56,nil),X0) ),
inference(superposition,[status(thm)],[c_177092,c_166]) ).
tcf(c_177588,plain,
! [X0: $i] :
( memberP(sK60,X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ ssList(sK11(sK60,sK60))
| ~ memberP(sK11(sK60,sK60),X0) ),
inference(superposition,[status(thm)],[c_177085,c_166]) ).
tcf(c_177589,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(sK11(sK59,sK59))
| ~ memberP(sK11(sK59,sK59),X0) ),
inference(superposition,[status(thm)],[c_177084,c_166]) ).
tcf(c_177590,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(sK11(sK56,sK56))
| ~ memberP(sK11(sK56,sK56),X0) ),
inference(superposition,[status(thm)],[c_177083,c_166]) ).
tcf(c_177592,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ memberP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177550,c_172792,c_12927]) ).
tcf(c_177596,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177549,c_172791,c_172620]) ).
tcf(c_177600,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177548,c_172620,c_12926]) ).
tcf(c_177604,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_177578,c_141]) ).
tcf(c_177609,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_177577,c_141]) ).
tcf(c_177614,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_177576,c_141]) ).
tcf(c_177619,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_177575,c_141]) ).
tcf(c_177624,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK56,sK56))
| ~ memberP(sK11(sK56,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177590,c_12924]) ).
tcf(c_177629,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK59,sK59))
| ~ memberP(sK11(sK59,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177589,c_12926]) ).
tcf(c_177634,plain,
! [X0: $i] :
( memberP(sK60,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK60,sK60))
| ~ memberP(sK11(sK60,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177588,c_12927]) ).
tcf(c_177639,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK56,nil))
| ~ memberP(sK11(sK56,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177587,c_141]) ).
tcf(c_177644,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK59,nil))
| ~ memberP(sK11(sK59,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177586,c_141]) ).
tcf(c_177649,plain,
! [X0: $i] :
( memberP(sK60,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK60,nil))
| ~ memberP(sK11(sK60,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177585,c_141]) ).
tcf(c_177654,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_177584,c_12926]) ).
tcf(c_177659,plain,
! [X0: $i] :
( memberP(sK49(sK56),X0)
| ( nil = sK56 )
| ~ ssItem(X0)
| ~ ssList(sK49(sK56))
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177574,c_141]) ).
tcf(c_177665,plain,
! [X0: $i] :
( memberP(sK49(sK59),X0)
| ( nil = sK59 )
| ~ ssItem(X0)
| ~ ssList(sK49(sK59))
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177573,c_141]) ).
tcf(c_177671,plain,
! [X0: $i] :
( memberP(sK49(sK60),X0)
| ( nil = sK60 )
| ~ ssItem(X0)
| ~ ssList(sK49(sK60))
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177572,c_141]) ).
tcf(c_177702,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_173631,c_169]) ).
tcf(c_177703,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_173637,c_169]) ).
tcf(c_177704,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_175640,c_169]) ).
tcf(c_177705,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_175641,c_169]) ).
tcf(c_177706,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_175642,c_169]) ).
tcf(c_177707,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_175650,c_169]) ).
tcf(c_177708,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_175831,c_169]) ).
tcf(c_177709,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_175832,c_169]) ).
tcf(c_177710,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_175833,c_169]) ).
tcf(c_177711,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_177703,c_141]) ).
tcf(c_177716,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_177702,c_141]) ).
tcf(c_177762,plain,
memberP(iPr_def_10,sK10(iPr_def_10)),
inference(global_subsumption_just,[status(thm)],[c_175564,c_16246,c_19194,c_20925,c_54902]) ).
tcf(c_177781,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_177079,c_375]) ).
tcf(c_177784,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_177079,c_166]) ).
tcf(c_177785,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_177781,c_172792]) ).
tcf(c_177788,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_177784,c_172792]) ).
tcf(c_177793,plain,
( ( sK12(sK59,sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(sK12(sK59,sK59))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_177139,c_231]) ).
tcf(c_177795,plain,
( frontsegP(sK59,sK12(sK59,sK59))
| ~ ssList(sK59)
| ~ ssList(sK12(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_177139,c_378]) ).
tcf(c_177798,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(sK12(sK59,sK59))
| ~ memberP(sK12(sK59,sK59),X0) ),
inference(superposition,[status(thm)],[c_177139,c_165]) ).
tcf(c_177800,plain,
( frontsegP(sK59,sK12(sK59,sK59))
| ~ ssList(sK12(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177795,c_12926]) ).
tcf(c_177803,plain,
( ( sK12(sK59,sK59) = nil )
| ~ ssList(sK12(sK59,sK59))
| ( nil != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177793,c_12926]) ).
tcf(c_177807,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK59,sK59))
| ~ memberP(sK12(sK59,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177798,c_12926]) ).
tcf(c_177812,plain,
( ( sK12(sK60,sK60) = nil )
| ~ ssList(sK60)
| ~ ssList(sK12(sK60,sK60))
| ( nil != sK60 ) ),
inference(superposition,[status(thm)],[c_177140,c_231]) ).
tcf(c_177814,plain,
( frontsegP(sK60,sK12(sK60,sK60))
| ~ ssList(sK60)
| ~ ssList(sK12(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_177140,c_378]) ).
tcf(c_177817,plain,
! [X0: $i] :
( memberP(sK60,X0)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ ssList(sK12(sK60,sK60))
| ~ memberP(sK12(sK60,sK60),X0) ),
inference(superposition,[status(thm)],[c_177140,c_165]) ).
tcf(c_177819,plain,
( frontsegP(sK60,sK12(sK60,sK60))
| ~ ssList(sK12(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177814,c_12927]) ).
tcf(c_177822,plain,
( ( sK12(sK60,sK60) = nil )
| ~ ssList(sK12(sK60,sK60))
| ( nil != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177812,c_12927]) ).
tcf(c_177826,plain,
! [X0: $i] :
( memberP(sK60,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK60,sK60))
| ~ memberP(sK12(sK60,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177817,c_12927]) ).
tcf(c_177831,plain,
( ( sK12(sK56,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK12(sK56,nil))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_177149,c_231]) ).
tcf(c_177833,plain,
( frontsegP(sK56,sK12(sK56,nil))
| ~ ssList(nil)
| ~ ssList(sK12(sK56,nil)) ),
inference(superposition,[status(thm)],[c_177149,c_378]) ).
tcf(c_177836,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK12(sK56,nil))
| ~ memberP(sK12(sK56,nil),X0) ),
inference(superposition,[status(thm)],[c_177149,c_165]) ).
tcf(c_177838,plain,
( frontsegP(sK56,sK12(sK56,nil))
| ~ ssList(sK12(sK56,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177833,c_141]) ).
tcf(c_177841,plain,
( ( sK12(sK56,nil) = nil )
| ~ ssList(sK12(sK56,nil))
| ( nil != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177831,c_141]) ).
tcf(c_177845,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK56,nil))
| ~ memberP(sK12(sK56,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177836,c_141]) ).
tcf(c_177850,plain,
( ( sK12(sK59,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK12(sK59,nil))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_177150,c_231]) ).
tcf(c_177852,plain,
( frontsegP(sK59,sK12(sK59,nil))
| ~ ssList(nil)
| ~ ssList(sK12(sK59,nil)) ),
inference(superposition,[status(thm)],[c_177150,c_378]) ).
tcf(c_177855,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK12(sK59,nil))
| ~ memberP(sK12(sK59,nil),X0) ),
inference(superposition,[status(thm)],[c_177150,c_165]) ).
tcf(c_177857,plain,
( frontsegP(sK59,sK12(sK59,nil))
| ~ ssList(sK12(sK59,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177852,c_141]) ).
tcf(c_177860,plain,
( ( sK12(sK59,nil) = nil )
| ~ ssList(sK12(sK59,nil))
| ( nil != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177850,c_141]) ).
tcf(c_177864,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK59,nil))
| ~ memberP(sK12(sK59,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177855,c_141]) ).
tcf(c_177869,plain,
( ( sK12(sK60,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK12(sK60,nil))
| ( nil != sK60 ) ),
inference(superposition,[status(thm)],[c_177151,c_231]) ).
tcf(c_177871,plain,
( frontsegP(sK60,sK12(sK60,nil))
| ~ ssList(nil)
| ~ ssList(sK12(sK60,nil)) ),
inference(superposition,[status(thm)],[c_177151,c_378]) ).
tcf(c_177874,plain,
! [X0: $i] :
( memberP(sK60,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK12(sK60,nil))
| ~ memberP(sK12(sK60,nil),X0) ),
inference(superposition,[status(thm)],[c_177151,c_165]) ).
tcf(c_177876,plain,
( frontsegP(sK60,sK12(sK60,nil))
| ~ ssList(sK12(sK60,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177871,c_141]) ).
tcf(c_177879,plain,
( ( sK12(sK60,nil) = nil )
| ~ ssList(sK12(sK60,nil))
| ( nil != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177869,c_141]) ).
tcf(c_177883,plain,
! [X0: $i] :
( memberP(sK60,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK60,nil))
| ~ memberP(sK12(sK60,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177874,c_141]) ).
tcf(c_177890,plain,
( frontsegP(iPr_def_13,sK12(iPr_def_13,sK60))
| ~ ssList(sK60)
| ~ ssList(sK12(iPr_def_13,sK60)) ),
inference(superposition,[status(thm)],[c_177152,c_378]) ).
tcf(c_177893,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_177152,c_165]) ).
tcf(c_177894,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_177152,c_166]) ).
tcf(c_177895,plain,
( frontsegP(iPr_def_13,sK12(iPr_def_13,sK60))
| ~ ssList(sK12(iPr_def_13,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177890,c_12927]) ).
tcf(c_177899,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_177893,c_12927]) ).
tcf(c_177918,plain,
memberP(cons(sK57,iPr_def_13),sK57),
inference(global_subsumption_just,[status(thm)],[c_176980,c_20994,c_71011]) ).
tcf(c_177938,plain,
( ( app(sK12(sK56,sK11(sK56,sK56)),sK11(sK56,sK56)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_177299,c_66]) ).
tcf(c_177939,plain,
( ( app(sK12(sK56,sK11(sK56,sK56)),sK11(sK56,sK56)) = sK56 )
| ~ ssList(sK11(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177938,c_12924]) ).
tcf(c_177942,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_174312,c_54]) ).
tcf(c_177945,plain,
( frontsegP(cons(sK57,iPr_def_12),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_174312,c_378]) ).
tcf(c_177946,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_174312,c_375]) ).
tcf(c_177950,plain,
( frontsegP(cons(sK57,iPr_def_12),nil)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177945,c_141]) ).
tcf(c_177953,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_177946,c_141]) ).
tcf(c_177956,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_177942,c_174312]) ).
tcf(c_177957,plain,
( memberP(cons(sK57,iPr_def_12),sK57)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177956,c_172792,c_141,c_12925]) ).
tcf(c_177986,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_177988,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_180,c_174]) ).
tcf(c_177990,plain,
( ( sK59 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ frontsegP(sK59,iPr_def_11) ),
inference(superposition,[status(thm)],[c_173570,c_174]) ).
tcf(c_177991,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_173569,c_174]) ).
tcf(c_177992,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_173568,c_174]) ).
tcf(c_177993,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ frontsegP(nil,iPr_def_10) ),
inference(superposition,[status(thm)],[c_173567,c_174]) ).
tcf(c_177994,plain,
( ( nil = sK60 )
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ frontsegP(nil,sK60) ),
inference(superposition,[status(thm)],[c_173566,c_174]) ).
tcf(c_177995,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ frontsegP(nil,sK59) ),
inference(superposition,[status(thm)],[c_173565,c_174]) ).
tcf(c_177996,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ frontsegP(nil,sK56) ),
inference(superposition,[status(thm)],[c_173564,c_174]) ).
tcf(c_177997,plain,
( ( nil = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ frontsegP(nil,iPr_def_13) ),
inference(superposition,[status(thm)],[c_173563,c_174]) ).
tcf(c_178004,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ frontsegP(nil,iPr_def_11) ),
inference(superposition,[status(thm)],[c_173556,c_174]) ).
tcf(c_178006,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ frontsegP(nil,iPr_def_12) ),
inference(superposition,[status(thm)],[c_173554,c_174]) ).
tcf(c_178007,plain,
~ frontsegP(nil,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_178006,c_176912,c_172792,c_141]) ).
tcf(c_178008,plain,
~ frontsegP(nil,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_178004,c_176913,c_172791,c_141]) ).
tcf(c_178009,plain,
~ frontsegP(nil,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_177997,c_176916,c_172129,c_141]) ).
tcf(c_178010,plain,
( ( nil = sK56 )
| ~ frontsegP(nil,sK56) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177996,c_12924,c_141]) ).
tcf(c_178013,plain,
( ( nil = sK59 )
| ~ frontsegP(nil,sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177995,c_12926,c_141]) ).
tcf(c_178016,plain,
( ( nil = sK60 )
| ~ frontsegP(nil,sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177994,c_12927,c_141]) ).
tcf(c_178019,plain,
~ frontsegP(nil,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_177993,c_173666,c_172620,c_141]) ).
tcf(c_178020,plain,
( ( iPr_def_12 = iPr_def_13 )
| ~ frontsegP(iPr_def_12,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177992,c_172129,c_172792]) ).
tcf(c_178023,plain,
( ( iPr_def_11 = iPr_def_12 )
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177991,c_172792,c_172791]) ).
tcf(c_178026,plain,
( ( sK59 = iPr_def_11 )
| ~ frontsegP(sK59,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177990,c_172791,c_12926]) ).
tcf(c_178046,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_178047,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_178048,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_178049,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_172648,c_176]) ).
tcf(c_178050,plain,
! [X0: $i] :
( frontsegP(sK60,X0)
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_172467,c_176]) ).
tcf(c_178051,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_172468,c_176]) ).
tcf(c_178052,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_172469,c_176]) ).
tcf(c_178053,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_172470,c_176]) ).
tcf(c_178060,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_172825,c_176]) ).
tcf(c_178062,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_172827,c_176]) ).
tcf(c_178077,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK60),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_174307,c_176]) ).
tcf(c_178078,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK59),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_174308,c_176]) ).
tcf(c_178079,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK56),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_174309,c_176]) ).
tcf(c_178080,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_174310,c_176]) ).
tcf(c_178081,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_174311,c_176]) ).
tcf(c_178082,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_174312,c_176]) ).
tcf(c_178083,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_177098,c_176]) ).
tcf(c_178084,plain,
! [X0: $i] :
( frontsegP(sK60,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK11(sK60,nil)) ),
inference(superposition,[status(thm)],[c_177094,c_176]) ).
tcf(c_178085,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK11(sK59,nil)) ),
inference(superposition,[status(thm)],[c_177093,c_176]) ).
tcf(c_178086,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK11(sK56,nil)) ),
inference(superposition,[status(thm)],[c_177092,c_176]) ).
tcf(c_178091,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_177152,c_176]) ).
tcf(c_178092,plain,
! [X0: $i] :
( frontsegP(sK60,X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(sK60,sK60))
| ~ frontsegP(sK12(sK60,sK60),X0) ),
inference(superposition,[status(thm)],[c_177140,c_176]) ).
tcf(c_178093,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,sK59))
| ~ frontsegP(sK12(sK59,sK59),X0) ),
inference(superposition,[status(thm)],[c_177139,c_176]) ).
tcf(c_178094,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,sK56))
| ~ frontsegP(sK12(sK56,sK56),X0) ),
inference(superposition,[status(thm)],[c_177138,c_176]) ).
tcf(c_178095,plain,
! [X0: $i] :
( frontsegP(sK60,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK60,nil))
| ~ frontsegP(sK12(sK60,nil),X0) ),
inference(superposition,[status(thm)],[c_177151,c_176]) ).
tcf(c_178096,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ~ frontsegP(sK12(sK59,nil),X0) ),
inference(superposition,[status(thm)],[c_177150,c_176]) ).
tcf(c_178097,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ~ frontsegP(sK12(sK56,nil),X0) ),
inference(superposition,[status(thm)],[c_177149,c_176]) ).
tcf(c_178098,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_178099,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_178100,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178062,c_172792,c_141]) ).
tcf(c_178104,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178060,c_172791,c_141]) ).
tcf(c_178108,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178053,c_172129,c_141]) ).
tcf(c_178112,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178052,c_12924,c_141]) ).
tcf(c_178116,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178051,c_12926,c_141]) ).
tcf(c_178120,plain,
! [X0: $i] :
( frontsegP(sK60,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178050,c_12927,c_141]) ).
tcf(c_178124,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178049,c_172620,c_141]) ).
tcf(c_178128,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178048,c_172792,c_12927]) ).
tcf(c_178132,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178047,c_172791,c_172620]) ).
tcf(c_178136,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178046,c_172620,c_12926]) ).
tcf(c_178144,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ~ frontsegP(sK12(sK56,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178097,c_141]) ).
tcf(c_178149,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ~ frontsegP(sK12(sK59,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178096,c_141]) ).
tcf(c_178154,plain,
! [X0: $i] :
( frontsegP(sK60,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK60,nil))
| ~ frontsegP(sK12(sK60,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178095,c_141]) ).
tcf(c_178159,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,sK56))
| ~ frontsegP(sK12(sK56,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178094,c_12924]) ).
tcf(c_178164,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,sK59))
| ~ frontsegP(sK12(sK59,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178093,c_12926]) ).
tcf(c_178169,plain,
! [X0: $i] :
( frontsegP(sK60,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK60,sK60))
| ~ frontsegP(sK12(sK60,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178092,c_12927]) ).
tcf(c_178174,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_178091,c_12927]) ).
tcf(c_178179,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_178082,c_141]) ).
tcf(c_178184,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_178081,c_141]) ).
tcf(c_178189,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_178080,c_141]) ).
tcf(c_178194,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178079,c_141]) ).
tcf(c_178199,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178078,c_141]) ).
tcf(c_178204,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK60),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178077,c_141]) ).
tcf(c_178319,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_178321,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_187,c_184]) ).
tcf(c_178323,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_173330,c_184]) ).
tcf(c_178324,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_173329,c_184]) ).
tcf(c_178325,plain,
( ( sK60 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK60)
| ~ rearsegP(sK60,iPr_def_13) ),
inference(superposition,[status(thm)],[c_173328,c_184]) ).
tcf(c_178331,plain,
( ( nil = sK60 )
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ rearsegP(nil,sK60) ),
inference(superposition,[status(thm)],[c_173322,c_184]) ).
tcf(c_178332,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ rearsegP(nil,sK59) ),
inference(superposition,[status(thm)],[c_173321,c_184]) ).
tcf(c_178333,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ rearsegP(nil,sK56) ),
inference(superposition,[status(thm)],[c_173320,c_184]) ).
tcf(c_178334,plain,
( ( nil = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ rearsegP(nil,iPr_def_13) ),
inference(superposition,[status(thm)],[c_173319,c_184]) ).
tcf(c_178335,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ rearsegP(nil,iPr_def_10) ),
inference(superposition,[status(thm)],[c_173318,c_184]) ).
tcf(c_178336,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ rearsegP(nil,iPr_def_11) ),
inference(superposition,[status(thm)],[c_173317,c_184]) ).
tcf(c_178338,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ rearsegP(nil,iPr_def_12) ),
inference(superposition,[status(thm)],[c_173315,c_184]) ).
tcf(c_178340,plain,
( ( sK11(sK56,sK56) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(sK56,sK56))
| ~ rearsegP(sK11(sK56,sK56),sK56) ),
inference(superposition,[status(thm)],[c_177299,c_184]) ).
tcf(c_178341,plain,
~ rearsegP(nil,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_178338,c_176912,c_172792,c_141]) ).
tcf(c_178342,plain,
~ rearsegP(nil,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_178336,c_176913,c_172791,c_141]) ).
tcf(c_178343,plain,
~ rearsegP(nil,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_178335,c_173666,c_172620,c_141]) ).
tcf(c_178344,plain,
~ rearsegP(nil,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_178334,c_176916,c_172129,c_141]) ).
tcf(c_178345,plain,
( ( nil = sK56 )
| ~ rearsegP(nil,sK56) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178333,c_12924,c_141]) ).
tcf(c_178348,plain,
( ( nil = sK59 )
| ~ rearsegP(nil,sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178332,c_12926,c_141]) ).
tcf(c_178351,plain,
( ( nil = sK60 )
| ~ rearsegP(nil,sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178331,c_12927,c_141]) ).
tcf(c_178354,plain,
( ( sK60 = iPr_def_13 )
| ~ rearsegP(sK60,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178325,c_172129,c_12927]) ).
tcf(c_178357,plain,
( ( iPr_def_10 = iPr_def_12 )
| ~ rearsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178324,c_172792,c_172620]) ).
tcf(c_178360,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ rearsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178323,c_172791,c_172620]) ).
tcf(c_178364,plain,
( ( sK11(sK56,sK56) = sK56 )
| ~ ssList(sK11(sK56,sK56))
| ~ rearsegP(sK11(sK56,sK56),sK56) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178340,c_12924]) ).
tcf(c_178488,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_178489,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_178490,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_178496,plain,
! [X0: $i] :
( rearsegP(sK60,X0)
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_172552,c_186]) ).
tcf(c_178497,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_172553,c_186]) ).
tcf(c_178498,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_172554,c_186]) ).
tcf(c_178499,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_172555,c_186]) ).
tcf(c_178500,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_172647,c_186]) ).
tcf(c_178501,plain,
! [X0: $i] :
( rearsegP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_172824,c_186]) ).
tcf(c_178503,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_172826,c_186]) ).
tcf(c_178505,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK60),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_172861,c_186]) ).
tcf(c_178506,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK59),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_172862,c_186]) ).
tcf(c_178507,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK56),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_172863,c_186]) ).
tcf(c_178508,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_172864,c_186]) ).
tcf(c_178509,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_172865,c_186]) ).
tcf(c_178510,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_172866,c_186]) ).
tcf(c_178511,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_172867,c_186]) ).
tcf(c_178512,plain,
! [X0: $i] :
( rearsegP(sK49(sK60),X0)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(sK60))
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_173385,c_186]) ).
tcf(c_178513,plain,
! [X0: $i] :
( rearsegP(sK49(sK59),X0)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(sK59))
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_173386,c_186]) ).
tcf(c_178514,plain,
! [X0: $i] :
( rearsegP(sK49(sK56),X0)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK49(sK56))
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_173387,c_186]) ).
tcf(c_178515,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_174461,c_186]) ).
tcf(c_178516,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_175040,c_186]) ).
tcf(c_178517,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_175575,c_186]) ).
tcf(c_178518,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_176367,c_186]) ).
tcf(c_178525,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_177098,c_186]) ).
tcf(c_178526,plain,
! [X0: $i] :
( rearsegP(sK60,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK60,nil))
| ~ rearsegP(sK11(sK60,nil),X0) ),
inference(superposition,[status(thm)],[c_177094,c_186]) ).
tcf(c_178527,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ~ rearsegP(sK11(sK59,nil),X0) ),
inference(superposition,[status(thm)],[c_177093,c_186]) ).
tcf(c_178528,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ~ rearsegP(sK11(sK56,nil),X0) ),
inference(superposition,[status(thm)],[c_177092,c_186]) ).
tcf(c_178529,plain,
! [X0: $i] :
( rearsegP(sK60,X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK11(sK60,sK60))
| ~ rearsegP(sK11(sK60,sK60),X0) ),
inference(superposition,[status(thm)],[c_177085,c_186]) ).
tcf(c_178530,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,sK59))
| ~ rearsegP(sK11(sK59,sK59),X0) ),
inference(superposition,[status(thm)],[c_177084,c_186]) ).
tcf(c_178531,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,sK56))
| ~ rearsegP(sK11(sK56,sK56),X0) ),
inference(superposition,[status(thm)],[c_177083,c_186]) ).
tcf(c_178532,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_177079,c_186]) ).
tcf(c_178533,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_177152,c_186]) ).
tcf(c_178537,plain,
! [X0: $i] :
( rearsegP(sK60,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK12(sK60,nil)) ),
inference(superposition,[status(thm)],[c_177151,c_186]) ).
tcf(c_178538,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK12(sK59,nil)) ),
inference(superposition,[status(thm)],[c_177150,c_186]) ).
tcf(c_178539,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK12(sK56,nil)) ),
inference(superposition,[status(thm)],[c_177149,c_186]) ).
tcf(c_178540,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_178541,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_178542,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178503,c_172792,c_141]) ).
tcf(c_178546,plain,
! [X0: $i] :
( rearsegP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178501,c_172791,c_141]) ).
tcf(c_178550,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178500,c_172620,c_141]) ).
tcf(c_178554,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178499,c_172129,c_141]) ).
tcf(c_178558,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178498,c_12924,c_141]) ).
tcf(c_178562,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178497,c_12926,c_141]) ).
tcf(c_178566,plain,
! [X0: $i] :
( rearsegP(sK60,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178496,c_12927,c_141]) ).
tcf(c_178570,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178490,c_172792,c_12927]) ).
tcf(c_178574,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178489,c_172791,c_172620]) ).
tcf(c_178578,plain,
! [X0: $i] :
( rearsegP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178488,c_172620,c_12926]) ).
tcf(c_178586,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_178518,c_141]) ).
tcf(c_178591,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_178517,c_141]) ).
tcf(c_178596,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_178516,c_141]) ).
tcf(c_178601,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_178515,c_141]) ).
tcf(c_178606,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_178532,c_172792]) ).
tcf(c_178611,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,sK56))
| ~ rearsegP(sK11(sK56,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178531,c_12924]) ).
tcf(c_178616,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,sK59))
| ~ rearsegP(sK11(sK59,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178530,c_12926]) ).
tcf(c_178621,plain,
! [X0: $i] :
( rearsegP(sK60,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK60,sK60))
| ~ rearsegP(sK11(sK60,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178529,c_12927]) ).
tcf(c_178626,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ~ rearsegP(sK11(sK56,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178528,c_141]) ).
tcf(c_178631,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ~ rearsegP(sK11(sK59,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178527,c_141]) ).
tcf(c_178636,plain,
! [X0: $i] :
( rearsegP(sK60,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK60,nil))
| ~ rearsegP(sK11(sK60,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178526,c_141]) ).
tcf(c_178641,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_178525,c_12926]) ).
tcf(c_178646,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_178511,c_141]) ).
tcf(c_178651,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_178510,c_141]) ).
tcf(c_178656,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_178509,c_141]) ).
tcf(c_178661,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_178508,c_141]) ).
tcf(c_178666,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK56),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178507,c_141]) ).
tcf(c_178671,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK59),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178506,c_141]) ).
tcf(c_178676,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK60),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178505,c_141]) ).
tcf(c_178681,plain,
! [X0: $i] :
( rearsegP(sK49(sK56),X0)
| ( nil = sK56 )
| ~ ssList(X0)
| ~ ssList(sK49(sK56))
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178514,c_141]) ).
tcf(c_178687,plain,
! [X0: $i] :
( rearsegP(sK49(sK59),X0)
| ( nil = sK59 )
| ~ ssList(X0)
| ~ ssList(sK49(sK59))
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178513,c_141]) ).
tcf(c_178693,plain,
! [X0: $i] :
( rearsegP(sK49(sK60),X0)
| ( nil = sK60 )
| ~ ssList(X0)
| ~ ssList(sK49(sK60))
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178512,c_141]) ).
tcf(c_178749,plain,
~ frontsegP(sK59,iPr_def_11),
inference(global_subsumption_just,[status(thm)],[c_178026,c_36950]) ).
tcf(c_178763,plain,
~ rearsegP(sK60,iPr_def_13),
inference(global_subsumption_just,[status(thm)],[c_178354,c_31547]) ).
tcf(c_178765,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_174313,c_54]) ).
tcf(c_178768,plain,
( frontsegP(cons(sK57,iPr_def_10),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_174313,c_378]) ).
tcf(c_178769,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_174313,c_375]) ).
tcf(c_178771,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_174313,c_176]) ).
tcf(c_178775,plain,
( frontsegP(cons(sK57,iPr_def_10),nil)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178768,c_141]) ).
tcf(c_178778,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_178769,c_141]) ).
tcf(c_178781,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_178771,c_141]) ).
tcf(c_178786,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_178765,c_174313]) ).
tcf(c_178787,plain,
( memberP(cons(sK57,iPr_def_10),sK57)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178786,c_172620,c_141,c_12925]) ).
tcf(c_178810,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_194,c_191]) ).
tcf(c_178821,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_178822,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_178823,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_178824,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_178825,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_178826,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_178827,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_178837,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_178838,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_178839,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_178840,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_178841,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_178842,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_178843,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_178844,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_178845,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_178846,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_178847,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_178848,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_178850,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_178851,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_178852,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_178853,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( hd(app(sK60,X0)) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12927,c_233]) ).
tcf(c_178854,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( hd(app(sK59,X0)) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12926,c_233]) ).
tcf(c_178855,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( hd(app(sK56,X0)) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12924,c_233]) ).
tcf(c_178856,plain,
! [X0: $i] :
( ( nil = iPr_def_13 )
| ( hd(app(iPr_def_13,X0)) = hd(iPr_def_13) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_172129,c_233]) ).
tcf(c_178857,plain,
! [X0: $i] :
( ( nil = iPr_def_11 )
| ( hd(app(iPr_def_11,X0)) = hd(iPr_def_11) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_172791,c_233]) ).
tcf(c_178858,plain,
! [X0: $i] :
( ( nil = iPr_def_12 )
| ( hd(app(iPr_def_12,X0)) = hd(iPr_def_12) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_172792,c_233]) ).
tcf(c_178859,plain,
! [X0: $i] :
( ( nil = iPr_def_10 )
| ( hd(app(iPr_def_10,X0)) = hd(iPr_def_10) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_172620,c_233]) ).
tcf(c_178860,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ( hd(app(tl(sK60),X0)) = hd(tl(sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175037,c_233]) ).
tcf(c_178861,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( hd(app(tl(sK59),X0)) = hd(tl(sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175432,c_233]) ).
tcf(c_178862,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( hd(app(tl(sK56),X0)) = hd(tl(sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175478,c_233]) ).
tcf(c_178863,plain,
! [X0: $i] :
( ( nil = iPr_def_10 )
| ( hd(app(iPr_def_10,X0)) = sK57 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_178859,c_173953]) ).
tcf(c_178864,plain,
! [X0: $i] :
( ( hd(app(iPr_def_10,X0)) = sK57 )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178863,c_173666]) ).
tcf(c_178867,plain,
! [X0: $i] :
( ( hd(app(iPr_def_12,X0)) = hd(iPr_def_12) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178858,c_176912]) ).
tcf(c_178870,plain,
! [X0: $i] :
( ( hd(app(iPr_def_11,X0)) = hd(iPr_def_11) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178857,c_176913]) ).
tcf(c_178873,plain,
! [X0: $i] :
( ( hd(app(iPr_def_13,X0)) = hd(iPr_def_13) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178856,c_176916]) ).
tcf(c_179155,plain,
( ( sK11(sK59,sK59) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(sK59,sK59))
| ~ rearsegP(sK11(sK59,sK59),sK59) ),
inference(superposition,[status(thm)],[c_177311,c_184]) ).
tcf(c_179156,plain,
( ( app(sK12(sK59,sK11(sK59,sK59)),sK11(sK59,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_177311,c_66]) ).
tcf(c_179157,plain,
( ( app(sK12(sK59,sK11(sK59,sK59)),sK11(sK59,sK59)) = sK59 )
| ~ ssList(sK11(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179156,c_12926]) ).
tcf(c_179160,plain,
( ( sK11(sK59,sK59) = sK59 )
| ~ ssList(sK11(sK59,sK59))
| ~ rearsegP(sK11(sK59,sK59),sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179155,c_12926]) ).
tcf(c_179168,plain,
( ( sK11(sK60,sK60) = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK11(sK60,sK60))
| ~ rearsegP(sK11(sK60,sK60),sK60) ),
inference(superposition,[status(thm)],[c_177323,c_184]) ).
tcf(c_179169,plain,
( ( app(sK12(sK60,sK11(sK60,sK60)),sK11(sK60,sK60)) = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK11(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_177323,c_66]) ).
tcf(c_179170,plain,
( ( app(sK12(sK60,sK11(sK60,sK60)),sK11(sK60,sK60)) = sK60 )
| ~ ssList(sK11(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179169,c_12927]) ).
tcf(c_179173,plain,
( ( sK11(sK60,sK60) = sK60 )
| ~ ssList(sK11(sK60,sK60))
| ~ rearsegP(sK11(sK60,sK60),sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179168,c_12927]) ).
tcf(c_179192,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_177371,c_184]) ).
tcf(c_179193,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_177371,c_66]) ).
tcf(c_179194,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_179193,c_172791]) ).
tcf(c_179197,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_179192,c_172791]) ).
tcf(c_179219,plain,
( ( sK12(sK56,sK56) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK12(sK56,sK56))
| ~ frontsegP(sK12(sK56,sK56),sK56) ),
inference(superposition,[status(thm)],[c_177418,c_174]) ).
tcf(c_179220,plain,
( ( app(sK12(sK56,sK56),sK11(sK56,sK12(sK56,sK56))) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK12(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_177418,c_63]) ).
tcf(c_179221,plain,
( ( app(sK12(sK56,sK56),sK11(sK56,sK12(sK56,sK56))) = sK56 )
| ~ ssList(sK12(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179220,c_12924]) ).
tcf(c_179224,plain,
( ( sK12(sK56,sK56) = sK56 )
| ~ ssList(sK12(sK56,sK56))
| ~ frontsegP(sK12(sK56,sK56),sK56) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179219,c_12924]) ).
tcf(c_179246,plain,
memberP(cons(sK57,iPr_def_11),sK57),
inference(global_subsumption_just,[status(thm)],[c_177438,c_21399,c_83430]) ).
tcf(c_179254,plain,
( memberP(iPr_def_13,sK57)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_172311,c_177519]) ).
tcf(c_179255,plain,
memberP(iPr_def_13,sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_179254,c_12925]) ).
tcf(c_179262,plain,
hd(iPr_def_13) = sK51(iPr_def_13),
inference(global_subsumption_just,[status(thm)],[c_174508,c_18322,c_21048]) ).
tcf(c_179264,plain,
( ssItem(hd(iPr_def_13))
| ( nil = iPr_def_13 )
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_179262,c_219]) ).
tcf(c_179265,plain,
ssItem(hd(iPr_def_13)),
inference(forward_subsumption_resolution,[status(thm)],[c_179264,c_176916,c_172129]) ).
tcf(c_179280,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_179281,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_179282,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_179283,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_179284,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_179285,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_179286,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_179296,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_179297,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_179298,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_179299,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_179300,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_179301,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_179302,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_179303,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_179304,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_179305,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_179306,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_179307,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_179309,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_179310,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_179311,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_179312,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_179313,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_179314,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_179316,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_172791,c_132]) ).
tcf(c_179317,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_172792,c_132]) ).
tcf(c_179319,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_175037,c_132]) ).
tcf(c_179320,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_175432,c_132]) ).
tcf(c_179321,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_175478,c_132]) ).
tcf(c_179618,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_175640,c_208]) ).
tcf(c_179619,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_175641,c_208]) ).
tcf(c_179620,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_175642,c_208]) ).
tcf(c_179621,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_175650,c_208]) ).
tcf(c_179622,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_175831,c_208]) ).
tcf(c_179623,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_175832,c_208]) ).
tcf(c_179624,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_175833,c_208]) ).
tcf(c_179625,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_179621,c_172238]) ).
tcf(c_179675,plain,
! [X0: $i] :
( ( app(cons(hd(iPr_def_13),nil),X0) = cons(hd(iPr_def_13),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_179265,c_227]) ).
tcf(c_179676,plain,
! [X0: $i] :
( ( tl(cons(hd(iPr_def_13),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_179265,c_152]) ).
tcf(c_179677,plain,
! [X0: $i] :
( ( hd(cons(hd(iPr_def_13),X0)) = hd(iPr_def_13) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_179265,c_150]) ).
tcf(c_179678,plain,
! [X0: $i] :
( ( app(nil,cons(hd(iPr_def_13),X0)) = cons(hd(iPr_def_13),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_179265,c_172619]) ).
tcf(c_179679,plain,
! [X0: $i] :
( ( app(cons(hd(iPr_def_13),X0),nil) = cons(hd(iPr_def_13),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_179265,c_172618]) ).
tcf(c_179693,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_177080,c_375]) ).
tcf(c_179697,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_177080,c_186]) ).
tcf(c_179698,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_177080,c_166]) ).
tcf(c_179699,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_179693,c_172791]) ).
tcf(c_179702,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_179698,c_172791]) ).
tcf(c_179707,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_179697,c_172791]) ).
tcf(c_179715,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_177081,c_375]) ).
tcf(c_179719,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_177081,c_186]) ).
tcf(c_179720,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_177081,c_166]) ).
tcf(c_179721,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_179715,c_172620]) ).
tcf(c_179724,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_179720,c_172620]) ).
tcf(c_179729,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_179719,c_172620]) ).
tcf(c_179746,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_177082,c_375]) ).
tcf(c_179750,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_177082,c_186]) ).
tcf(c_179751,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_177082,c_166]) ).
tcf(c_179752,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_179746,c_172129]) ).
tcf(c_179755,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_179751,c_172129]) ).
tcf(c_179760,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_179750,c_172129]) ).
tcf(c_179778,plain,
( memberP(iPr_def_11,sK10(iPr_def_10))
| ~ ssItem(sK10(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_177762,c_177600]) ).
tcf(c_179785,plain,
( ( sK12(sK59,sK59) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK12(sK59,sK59))
| ~ frontsegP(sK12(sK59,sK59),sK59) ),
inference(superposition,[status(thm)],[c_177800,c_174]) ).
tcf(c_179786,plain,
( ( app(sK12(sK59,sK59),sK11(sK59,sK12(sK59,sK59))) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK12(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_177800,c_63]) ).
tcf(c_179787,plain,
( ( app(sK12(sK59,sK59),sK11(sK59,sK12(sK59,sK59))) = sK59 )
| ~ ssList(sK12(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179786,c_12926]) ).
tcf(c_179790,plain,
( ( sK12(sK59,sK59) = sK59 )
| ~ ssList(sK12(sK59,sK59))
| ~ frontsegP(sK12(sK59,sK59),sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179785,c_12926]) ).
tcf(c_179798,plain,
( ( sK12(sK60,sK60) = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK12(sK60,sK60))
| ~ frontsegP(sK12(sK60,sK60),sK60) ),
inference(superposition,[status(thm)],[c_177819,c_174]) ).
tcf(c_179799,plain,
( ( app(sK12(sK60,sK60),sK11(sK60,sK12(sK60,sK60))) = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK12(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_177819,c_63]) ).
tcf(c_179800,plain,
( ( app(sK12(sK60,sK60),sK11(sK60,sK12(sK60,sK60))) = sK60 )
| ~ ssList(sK12(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179799,c_12927]) ).
tcf(c_179803,plain,
( ( sK12(sK60,sK60) = sK60 )
| ~ ssList(sK12(sK60,sK60))
| ~ frontsegP(sK12(sK60,sK60),sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179798,c_12927]) ).
tcf(c_179811,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_177895,c_174]) ).
tcf(c_179812,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_177895,c_63]) ).
tcf(c_179813,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_179812,c_172129]) ).
tcf(c_179816,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_179811,c_172129]) ).
tcf(c_179820,plain,
memberP(cons(sK57,iPr_def_12),sK57),
inference(global_subsumption_just,[status(thm)],[c_177957,c_22097,c_86120]) ).
tcf(c_179840,plain,
hd(iPr_def_11) = sK51(iPr_def_11),
inference(global_subsumption_just,[status(thm)],[c_174509,c_18323,c_20882]) ).
tcf(c_179842,plain,
( ssItem(hd(iPr_def_11))
| ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_179840,c_219]) ).
tcf(c_179843,plain,
ssItem(hd(iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_179842,c_176913,c_172791]) ).
tcf(c_179858,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_175640,c_214]) ).
tcf(c_179859,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_175641,c_214]) ).
tcf(c_179860,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_175642,c_214]) ).
tcf(c_179861,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_175650,c_214]) ).
tcf(c_179862,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_175831,c_214]) ).
tcf(c_179863,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_175832,c_214]) ).
tcf(c_179864,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_175833,c_214]) ).
tcf(c_179865,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_179861,c_172244]) ).
tcf(c_179990,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_179992,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_179993,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_179995,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0) ),
inference(superposition,[status(thm)],[c_173570,c_173]) ).
tcf(c_179996,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_173569,c_173]) ).
tcf(c_179997,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_173568,c_173]) ).
tcf(c_180015,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_177895,c_173]) ).
tcf(c_180019,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179993,c_141]) ).
tcf(c_180039,plain,
! [X0: $i] :
( ( app(cons(hd(iPr_def_11),nil),X0) = cons(hd(iPr_def_11),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_179843,c_227]) ).
tcf(c_180040,plain,
! [X0: $i] :
( ( tl(cons(hd(iPr_def_11),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_179843,c_152]) ).
tcf(c_180041,plain,
! [X0: $i] :
( ( hd(cons(hd(iPr_def_11),X0)) = hd(iPr_def_11) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_179843,c_150]) ).
tcf(c_180042,plain,
! [X0: $i] :
( ( app(nil,cons(hd(iPr_def_11),X0)) = cons(hd(iPr_def_11),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_179843,c_172619]) ).
tcf(c_180043,plain,
! [X0: $i] :
( ( app(cons(hd(iPr_def_11),X0),nil) = cons(hd(iPr_def_11),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_179843,c_172618]) ).
tcf(c_180055,plain,
( ( sK11(nil,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_177086,c_230]) ).
tcf(c_180057,plain,
( rearsegP(nil,sK11(nil,nil))
| ~ ssList(nil)
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_177086,c_375]) ).
tcf(c_180061,plain,
! [X0: $i] :
( rearsegP(nil,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),X0) ),
inference(superposition,[status(thm)],[c_177086,c_186]) ).
tcf(c_180062,plain,
! [X0: $i] :
( memberP(nil,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK11(nil,nil))
| ~ memberP(sK11(nil,nil),X0) ),
inference(superposition,[status(thm)],[c_177086,c_166]) ).
tcf(c_180063,plain,
( rearsegP(nil,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180057,c_141]) ).
tcf(c_180066,plain,
( ( sK11(nil,nil) = nil )
| ~ ssList(sK11(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180055,c_141]) ).
tcf(c_180069,plain,
! [X0: $i] :
( memberP(nil,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(nil,nil))
| ~ memberP(sK11(nil,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180062,c_141]) ).
tcf(c_180074,plain,
! [X0: $i] :
( rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180061,c_141]) ).
tcf(c_180082,plain,
( rearsegP(iPr_def_12,sK11(iPr_def_12,nil))
| ~ ssList(nil)
| ~ ssList(sK11(iPr_def_12,nil)) ),
inference(superposition,[status(thm)],[c_177089,c_375]) ).
tcf(c_180084,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_177089,c_176]) ).
tcf(c_180086,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_177089,c_186]) ).
tcf(c_180087,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_177089,c_166]) ).
tcf(c_180088,plain,
( rearsegP(iPr_def_12,sK11(iPr_def_12,nil))
| ~ ssList(sK11(iPr_def_12,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180082,c_141]) ).
tcf(c_180092,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_180087,c_141]) ).
tcf(c_180097,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_180086,c_141]) ).
tcf(c_180105,plain,
( rearsegP(iPr_def_11,sK11(iPr_def_11,nil))
| ~ ssList(nil)
| ~ ssList(sK11(iPr_def_11,nil)) ),
inference(superposition,[status(thm)],[c_177090,c_375]) ).
tcf(c_180107,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_177090,c_176]) ).
tcf(c_180109,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_177090,c_186]) ).
tcf(c_180110,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_177090,c_166]) ).
tcf(c_180111,plain,
( rearsegP(iPr_def_11,sK11(iPr_def_11,nil))
| ~ ssList(sK11(iPr_def_11,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180105,c_141]) ).
tcf(c_180115,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_180110,c_141]) ).
tcf(c_180120,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_180109,c_141]) ).
tcf(c_180142,plain,
( frontsegP(iPr_def_13,iPr_def_11)
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_173569,c_178128]) ).
tcf(c_180145,plain,
frontsegP(iPr_def_13,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_180142,c_172791]) ).
tcf(c_180156,plain,
( frontsegP(iPr_def_11,sK12(sK59,sK59))
| ~ ssList(sK12(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_177800,c_178136]) ).
tcf(c_180196,plain,
( rearsegP(iPr_def_13,sK11(sK60,sK60))
| ~ ssList(sK11(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_177323,c_178570]) ).
tcf(c_180209,plain,
hd(iPr_def_12) = sK51(iPr_def_12),
inference(global_subsumption_just,[status(thm)],[c_174510,c_18324,c_20881]) ).
tcf(c_180211,plain,
( ssItem(hd(iPr_def_12))
| ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_180209,c_219]) ).
tcf(c_180212,plain,
ssItem(hd(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_180211,c_176912,c_172792]) ).
tcf(c_180223,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_180224,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_173631,c_177]) ).
tcf(c_180225,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_173637,c_177]) ).
tcf(c_180226,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_175640,c_177]) ).
tcf(c_180227,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_175641,c_177]) ).
tcf(c_180228,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_175642,c_177]) ).
tcf(c_180229,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_175650,c_177]) ).
tcf(c_180230,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_175831,c_177]) ).
tcf(c_180231,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_175832,c_177]) ).
tcf(c_180232,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_175833,c_177]) ).
tcf(c_180233,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_180234,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_173631,c_177]) ).
tcf(c_180235,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_173637,c_177]) ).
tcf(c_180236,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_175640,c_177]) ).
tcf(c_180237,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_175641,c_177]) ).
tcf(c_180238,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_175642,c_177]) ).
tcf(c_180239,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_175650,c_177]) ).
tcf(c_180240,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_175831,c_177]) ).
tcf(c_180241,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_175832,c_177]) ).
tcf(c_180242,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_175833,c_177]) ).
tcf(c_180243,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_180244,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_180245,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_180246,plain,
! [X0: $i] :
( frontsegP(cons(sK57,X0),iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180233,c_141,c_12925]) ).
tcf(c_180250,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,cons(sK57,X0))
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180223,c_141,c_12925]) ).
tcf(c_180254,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_180235,c_141]) ).
tcf(c_180259,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_180234,c_141]) ).
tcf(c_180264,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_180225,c_141]) ).
tcf(c_180269,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_180224,c_141]) ).
tcf(c_180484,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_180486,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_180487,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_180489,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_173330,c_183]) ).
tcf(c_180490,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_173329,c_183]) ).
tcf(c_180491,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0) ),
inference(superposition,[status(thm)],[c_173328,c_183]) ).
tcf(c_180509,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_177371,c_183]) ).
tcf(c_180513,plain,
! [X0: $i,X1: $i] :
( rearsegP(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180487,c_141]) ).
tcf(c_180546,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_180548,plain,
! [X0: $i,X1: $i] :
( segmentP(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180546,c_141]) ).
tcf(c_180561,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_180562,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_180563,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_180564,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_180565,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_180566,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_180567,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_180577,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_180578,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_180579,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_180580,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_180581,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_180582,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_180583,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_180584,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_180585,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_180586,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_180587,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_180588,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_180590,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_180591,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_180592,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_180593,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_180594,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_180595,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_180596,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_172129,c_234]) ).
tcf(c_180597,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_172791,c_234]) ).
tcf(c_180598,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_172792,c_234]) ).
tcf(c_180599,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_172620,c_234]) ).
tcf(c_180600,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_175037,c_234]) ).
tcf(c_180601,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_175432,c_234]) ).
tcf(c_180602,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_175478,c_234]) ).
tcf(c_180603,plain,
! [X0: $i] :
( ( nil = iPr_def_10 )
| ( tl(app(iPr_def_10,X0)) = app(nil,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_180599,c_174100]) ).
tcf(c_180604,plain,
! [X0: $i] :
( ( tl(app(iPr_def_10,X0)) = app(nil,X0) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180603,c_173666]) ).
tcf(c_180607,plain,
! [X0: $i] :
( ( app(tl(iPr_def_12),X0) = tl(app(iPr_def_12,X0)) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180598,c_176912]) ).
tcf(c_180610,plain,
! [X0: $i] :
( ( app(tl(iPr_def_11),X0) = tl(app(iPr_def_11,X0)) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180597,c_176913]) ).
tcf(c_180613,plain,
! [X0: $i] :
( ( app(tl(iPr_def_13),X0) = tl(app(iPr_def_13,X0)) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180596,c_176916]) ).
tcf(c_180957,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_180145,c_173]) ).
tcf(c_180958,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_180145,c_174]) ).
tcf(c_180959,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_180145,c_63]) ).
tcf(c_180960,plain,
app(iPr_def_11,sK11(iPr_def_13,iPr_def_11)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_180959,c_172129,c_172791]) ).
tcf(c_180961,plain,
( ( iPr_def_11 = iPr_def_13 )
| ~ frontsegP(iPr_def_11,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180958,c_172129,c_172791]) ).
tcf(c_180964,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180957,c_172129,c_172791]) ).
tcf(c_180996,plain,
! [X0: $i] :
( ( app(cons(hd(iPr_def_12),nil),X0) = cons(hd(iPr_def_12),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_180212,c_227]) ).
tcf(c_180997,plain,
! [X0: $i] :
( ( tl(cons(hd(iPr_def_12),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_180212,c_152]) ).
tcf(c_180998,plain,
! [X0: $i] :
( ( hd(cons(hd(iPr_def_12),X0)) = hd(iPr_def_12) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_180212,c_150]) ).
tcf(c_180999,plain,
! [X0: $i] :
( ( app(nil,cons(hd(iPr_def_12),X0)) = cons(hd(iPr_def_12),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_180212,c_172619]) ).
tcf(c_181000,plain,
! [X0: $i] :
( ( app(cons(hd(iPr_def_12),X0),nil) = cons(hd(iPr_def_12),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_180212,c_172618]) ).
tcf(c_181014,plain,
( rearsegP(iPr_def_13,sK11(iPr_def_13,nil))
| ~ ssList(nil)
| ~ ssList(sK11(iPr_def_13,nil)) ),
inference(superposition,[status(thm)],[c_177091,c_375]) ).
tcf(c_181016,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_177091,c_176]) ).
tcf(c_181018,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_177091,c_186]) ).
tcf(c_181019,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_177091,c_166]) ).
tcf(c_181020,plain,
( rearsegP(iPr_def_13,sK11(iPr_def_13,nil))
| ~ ssList(sK11(iPr_def_13,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_181014,c_141]) ).
tcf(c_181024,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_181019,c_141]) ).
tcf(c_181029,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_181018,c_141]) ).
tcf(c_181037,plain,
( rearsegP(iPr_def_10,sK11(iPr_def_10,nil))
| ~ ssList(nil)
| ~ ssList(sK11(iPr_def_10,nil)) ),
inference(superposition,[status(thm)],[c_177095,c_375]) ).
tcf(c_181039,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_177095,c_176]) ).
tcf(c_181041,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_177095,c_186]) ).
tcf(c_181042,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_177095,c_166]) ).
tcf(c_181043,plain,
( rearsegP(iPr_def_10,sK11(iPr_def_10,nil))
| ~ ssList(sK11(iPr_def_10,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_181037,c_141]) ).
tcf(c_181047,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_181042,c_141]) ).
tcf(c_181052,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_181041,c_141]) ).
tcf(c_181057,plain,
memberP(cons(sK57,iPr_def_10),sK57),
inference(global_subsumption_just,[status(thm)],[c_178787,c_22828,c_86947]) ).
tcf(c_181059,plain,
! [X0: $i] :
( frontsegP(cons(sK57,X0),iPr_def_10)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_180246,c_180,c_24259]) ).
tcf(c_181066,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_181059,c_173]) ).
tcf(c_181067,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_181059,c_174]) ).
tcf(c_181068,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_181059,c_63]) ).
tcf(c_181069,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_181068,c_172620]) ).
tcf(c_181073,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_181067,c_172620]) ).
tcf(c_181078,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_181066,c_172620]) ).
tcf(c_181091,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_180250,c_173]) ).
tcf(c_181092,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_180250,c_174]) ).
tcf(c_181093,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_180250,c_63]) ).
tcf(c_181094,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_181093,c_172620]) ).
tcf(c_181099,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_181092,c_172620]) ).
tcf(c_181105,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_181091,c_172620]) ).
tcf(c_181118,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_178853]) ).
tcf(c_181119,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_178853]) ).
tcf(c_181120,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_178853]) ).
tcf(c_181121,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_178853]) ).
tcf(c_181122,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_178853]) ).
tcf(c_181123,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_178853]) ).
tcf(c_181124,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_178853]) ).
tcf(c_181134,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK34(X0))) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_178853]) ).
tcf(c_181135,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK33(X0))) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_178853]) ).
tcf(c_181136,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK32(X0))) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_178853]) ).
tcf(c_181137,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK39(X0))) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_178853]) ).
tcf(c_181138,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK38(X0))) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_178853]) ).
tcf(c_181139,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK37(X0))) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_178853]) ).
tcf(c_181140,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK44(X0))) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_178853]) ).
tcf(c_181141,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK43(X0))) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_178853]) ).
tcf(c_181142,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK42(X0))) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_178853]) ).
tcf(c_181143,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK48(X0))) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_178853]) ).
tcf(c_181144,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK47(X0))) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_178853]) ).
tcf(c_181145,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_178853]) ).
tcf(c_181146,plain,
( ( nil = sK60 )
| ( hd(app(sK60,nil)) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_141,c_178853]) ).
tcf(c_181147,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ( hd(app(sK60,sK49(X0))) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_178853]) ).
tcf(c_181148,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ( hd(app(sK60,tl(X0))) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_178853]) ).
tcf(c_181149,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( X0 = nil )
| ( hd(app(sK60,sK52(X0))) = hd(sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_178853]) ).
tcf(c_181150,plain,
( ( nil = sK60 )
| ( hd(app(sK60,sK60)) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_12927,c_178853]) ).
tcf(c_181151,plain,
( ( nil = sK60 )
| ( hd(app(sK60,sK59)) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_12926,c_178853]) ).
tcf(c_181152,plain,
( ( nil = sK60 )
| ( hd(app(sK60,sK56)) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_12924,c_178853]) ).
tcf(c_181153,plain,
( ( nil = sK60 )
| ( hd(app(sK60,iPr_def_13)) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_172129,c_178853]) ).
tcf(c_181154,plain,
( ( nil = sK60 )
| ( hd(app(sK60,iPr_def_11)) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_172791,c_178853]) ).
tcf(c_181155,plain,
( ( nil = sK60 )
| ( hd(app(sK60,iPr_def_12)) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_172792,c_178853]) ).
tcf(c_181156,plain,
( ( nil = sK60 )
| ( hd(app(sK60,iPr_def_10)) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_172620,c_178853]) ).
tcf(c_181157,plain,
( ( nil = sK60 )
| ( hd(app(sK60,tl(sK60))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_175037,c_178853]) ).
tcf(c_181158,plain,
( ( nil = sK60 )
| ( nil = sK59 )
| ( hd(app(sK60,tl(sK59))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_175432,c_178853]) ).
tcf(c_181159,plain,
( ( nil = sK56 )
| ( nil = sK60 )
| ( hd(app(sK60,tl(sK56))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_175478,c_178853]) ).
tcf(c_181360,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_178854]) ).
tcf(c_181361,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_178854]) ).
tcf(c_181362,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_178854]) ).
tcf(c_181363,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_178854]) ).
tcf(c_181364,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_178854]) ).
tcf(c_181365,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_178854]) ).
tcf(c_181366,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_178854]) ).
tcf(c_181376,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK34(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_178854]) ).
tcf(c_181377,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK33(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_178854]) ).
tcf(c_181378,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK32(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_178854]) ).
tcf(c_181379,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK39(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_178854]) ).
tcf(c_181380,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK38(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_178854]) ).
tcf(c_181381,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK37(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_178854]) ).
tcf(c_181382,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK44(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_178854]) ).
tcf(c_181383,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK43(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_178854]) ).
tcf(c_181384,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK42(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_178854]) ).
tcf(c_181385,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK48(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_178854]) ).
tcf(c_181386,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK47(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_178854]) ).
tcf(c_181387,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_178854]) ).
tcf(c_181388,plain,
( ( nil = sK59 )
| ( hd(app(sK59,nil)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_141,c_178854]) ).
tcf(c_181389,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ( hd(app(sK59,sK49(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_178854]) ).
tcf(c_181390,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ( hd(app(sK59,tl(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_178854]) ).
tcf(c_181391,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ( hd(app(sK59,sK52(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_178854]) ).
tcf(c_181392,plain,
( ( nil = sK59 )
| ( hd(app(sK59,sK60)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_12927,c_178854]) ).
tcf(c_181393,plain,
( ( nil = sK59 )
| ( hd(app(sK59,sK59)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_12926,c_178854]) ).
tcf(c_181394,plain,
( ( nil = sK59 )
| ( hd(app(sK59,sK56)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_12924,c_178854]) ).
tcf(c_181395,plain,
( ( nil = sK59 )
| ( hd(app(sK59,iPr_def_13)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_172129,c_178854]) ).
tcf(c_181396,plain,
( ( nil = sK59 )
| ( hd(app(sK59,iPr_def_11)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_172791,c_178854]) ).
tcf(c_181397,plain,
( ( nil = sK59 )
| ( hd(app(sK59,iPr_def_12)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_172792,c_178854]) ).
tcf(c_181398,plain,
( ( nil = sK59 )
| ( hd(app(sK59,iPr_def_10)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_172620,c_178854]) ).
tcf(c_181399,plain,
( ( nil = sK60 )
| ( nil = sK59 )
| ( hd(app(sK59,tl(sK60))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_175037,c_178854]) ).
tcf(c_181400,plain,
( ( nil = sK59 )
| ( hd(app(sK59,tl(sK59))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_175432,c_178854]) ).
tcf(c_181401,plain,
( ( nil = sK56 )
| ( nil = sK59 )
| ( hd(app(sK59,tl(sK56))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_175478,c_178854]) ).
tcf(c_181402,plain,
( ( nil = sK59 )
| ( hd(sK59) = hd(iPr_def_11) ) ),
inference(light_normalisation,[status(thm)],[c_181398,c_12918]) ).
tcf(c_181729,plain,
tl(iPr_def_13) = sK52(iPr_def_13),
inference(global_subsumption_just,[status(thm)],[c_174697,c_18473,c_21048]) ).
tcf(c_181731,plain,
( ssList(tl(iPr_def_13))
| ( nil = iPr_def_13 )
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_181729,c_221]) ).
tcf(c_181732,plain,
ssList(tl(iPr_def_13)),
inference(forward_subsumption_resolution,[status(thm)],[c_181731,c_176916,c_172129]) ).
tcf(c_181793,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_181794,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_181795,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_181802,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_181803,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_181804,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_181805,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_181806,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_181807,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_181808,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_181809,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_181810,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_181811,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_181812,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_181813,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_181814,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_174942,c_154]) ).
tcf(c_181815,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_174974,c_154]) ).
tcf(c_181816,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_175006,c_154]) ).
tcf(c_181817,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_179265,c_154]) ).
tcf(c_181818,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_179843,c_154]) ).
tcf(c_181819,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_180212,c_154]) ).
tcf(c_181974,plain,
( ( nil = sK59 )
| ( hd(app(sK59,tl(iPr_def_13))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_181732,c_178854]) ).
tcf(c_181975,plain,
( ( nil = sK60 )
| ( hd(app(sK60,tl(iPr_def_13))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_181732,c_178853]) ).
tcf(c_181976,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_181732,c_234]) ).
tcf(c_181977,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_181732,c_132]) ).
tcf(c_181978,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_181732,c_233]) ).
tcf(c_181979,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_181732,c_224]) ).
tcf(c_181980,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_181732,c_147]) ).
tcf(c_181981,plain,
( ( tl(iPr_def_13) = nil )
| ( tl(tl(iPr_def_13)) = sK52(tl(iPr_def_13)) ) ),
inference(superposition,[status(thm)],[c_181732,c_222]) ).
tcf(c_181982,plain,
( ( tl(iPr_def_13) = nil )
| ( hd(tl(iPr_def_13)) = sK51(tl(iPr_def_13)) ) ),
inference(superposition,[status(thm)],[c_181732,c_220]) ).
tcf(c_181983,plain,
app(nil,cons(sK57,tl(iPr_def_13))) = cons(sK57,tl(iPr_def_13)),
inference(superposition,[status(thm)],[c_181732,c_173183]) ).
tcf(c_181984,plain,
tl(cons(sK57,tl(iPr_def_13))) = tl(iPr_def_13),
inference(superposition,[status(thm)],[c_181732,c_173821]) ).
tcf(c_181985,plain,
hd(cons(sK57,tl(iPr_def_13))) = sK57,
inference(superposition,[status(thm)],[c_181732,c_173700]) ).
tcf(c_181986,plain,
( ( tl(iPr_def_13) = nil )
| ( app(sK49(tl(iPr_def_13)),nil) = sK49(tl(iPr_def_13)) ) ),
inference(superposition,[status(thm)],[c_181732,c_172633]) ).
tcf(c_181987,plain,
( duplicatefreeP(tl(iPr_def_13))
| ( sK40(tl(iPr_def_13)) = sK41(tl(iPr_def_13)) ) ),
inference(superposition,[status(thm)],[c_181732,c_123]) ).
tcf(c_181988,plain,
app(cons(sK57,tl(iPr_def_13)),nil) = cons(sK57,tl(iPr_def_13)),
inference(superposition,[status(thm)],[c_181732,c_172683]) ).
tcf(c_181989,plain,
app(tl(iPr_def_13),nil) = tl(iPr_def_13),
inference(superposition,[status(thm)],[c_181732,c_232]) ).
tcf(c_181990,plain,
app(nil,tl(iPr_def_13)) = tl(iPr_def_13),
inference(superposition,[status(thm)],[c_181732,c_155]) ).
tcf(c_182044,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_177096,c_375]) ).
tcf(c_182046,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_177096,c_176]) ).
tcf(c_182047,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_177096,c_165]) ).
tcf(c_182048,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_177096,c_186]) ).
tcf(c_182049,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_177096,c_166]) ).
tcf(c_182050,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_182044,c_172792]) ).
tcf(c_182055,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_182049,c_172792]) ).
tcf(c_182060,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_182048,c_172792]) ).
tcf(c_182068,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_177097,c_375]) ).
tcf(c_182070,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_177097,c_176]) ).
tcf(c_182071,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_177097,c_165]) ).
tcf(c_182072,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_177097,c_186]) ).
tcf(c_182073,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_177097,c_166]) ).
tcf(c_182074,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_182068,c_172791]) ).
tcf(c_182079,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_182073,c_172791]) ).
tcf(c_182084,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_182072,c_172791]) ).
tcf(c_182091,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_177135,c_378]) ).
tcf(c_182094,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_177135,c_176]) ).
tcf(c_182095,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_177135,c_165]) ).
tcf(c_182098,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_182091,c_172792]) ).
tcf(c_182101,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_182095,c_172792]) ).
tcf(c_182106,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_182094,c_172792]) ).
tcf(c_182228,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_178855]) ).
tcf(c_182229,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_178855]) ).
tcf(c_182230,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_178855]) ).
tcf(c_182231,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_178855]) ).
tcf(c_182232,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_178855]) ).
tcf(c_182233,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_178855]) ).
tcf(c_182234,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_178855]) ).
tcf(c_182244,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK34(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_178855]) ).
tcf(c_182245,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK33(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_178855]) ).
tcf(c_182246,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK32(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_178855]) ).
tcf(c_182247,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK39(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_178855]) ).
tcf(c_182248,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK38(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_178855]) ).
tcf(c_182249,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK37(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_178855]) ).
tcf(c_182250,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK44(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_178855]) ).
tcf(c_182251,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK43(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_178855]) ).
tcf(c_182252,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK42(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_178855]) ).
tcf(c_182253,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK48(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_178855]) ).
tcf(c_182254,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK47(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_178855]) ).
tcf(c_182255,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_178855]) ).
tcf(c_182256,plain,
( ( nil = sK56 )
| ( hd(app(sK56,nil)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_141,c_178855]) ).
tcf(c_182257,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( hd(app(sK56,sK49(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_178855]) ).
tcf(c_182258,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( hd(app(sK56,tl(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_178855]) ).
tcf(c_182259,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( hd(app(sK56,sK52(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_178855]) ).
tcf(c_182260,plain,
( ( nil = sK56 )
| ( hd(app(sK56,sK60)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_12927,c_178855]) ).
tcf(c_182261,plain,
( ( nil = sK56 )
| ( hd(app(sK56,sK59)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_12926,c_178855]) ).
tcf(c_182262,plain,
( ( nil = sK56 )
| ( hd(app(sK56,sK56)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_12924,c_178855]) ).
tcf(c_182263,plain,
( ( nil = sK56 )
| ( hd(app(sK56,iPr_def_13)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_172129,c_178855]) ).
tcf(c_182264,plain,
( ( nil = sK56 )
| ( hd(app(sK56,iPr_def_11)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_172791,c_178855]) ).
tcf(c_182265,plain,
( ( nil = sK56 )
| ( hd(app(sK56,iPr_def_12)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_172792,c_178855]) ).
tcf(c_182266,plain,
( ( nil = sK56 )
| ( hd(app(sK56,iPr_def_10)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_172620,c_178855]) ).
tcf(c_182267,plain,
( ( nil = sK56 )
| ( nil = sK60 )
| ( hd(app(sK56,tl(sK60))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_175037,c_178855]) ).
tcf(c_182268,plain,
( ( nil = sK56 )
| ( nil = sK59 )
| ( hd(app(sK56,tl(sK59))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_175432,c_178855]) ).
tcf(c_182269,plain,
( ( nil = sK56 )
| ( hd(app(sK56,tl(sK56))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_175478,c_178855]) ).
tcf(c_182270,plain,
( ( nil = sK56 )
| ( hd(app(sK56,tl(iPr_def_13))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_181732,c_178855]) ).
tcf(c_182521,plain,
sK11(sK56,sK56) = nil,
inference(global_subsumption_just,[status(thm)],[c_177302,c_73889]) ).
tcf(c_182526,plain,
tl(iPr_def_11) = sK52(iPr_def_11),
inference(global_subsumption_just,[status(thm)],[c_174698,c_18474,c_20882]) ).
tcf(c_182528,plain,
( ssList(tl(iPr_def_11))
| ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_182526,c_221]) ).
tcf(c_182529,plain,
ssList(tl(iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_182528,c_176913,c_172791]) ).
tcf(c_182542,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_182548,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_182549,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_182550,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_182586,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_177098,c_167]) ).
tcf(c_182587,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_177097,c_167]) ).
tcf(c_182588,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_177096,c_167]) ).
tcf(c_182589,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_177095,c_167]) ).
tcf(c_182590,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_177094,c_167]) ).
tcf(c_182591,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_177093,c_167]) ).
tcf(c_182592,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_177092,c_167]) ).
tcf(c_182593,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_177091,c_167]) ).
tcf(c_182599,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_177090,c_167]) ).
tcf(c_182601,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_177089,c_167]) ).
tcf(c_182602,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_177152,c_167]) ).
tcf(c_182606,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_177151,c_167]) ).
tcf(c_182607,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_177150,c_167]) ).
tcf(c_182608,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_177149,c_167]) ).
tcf(c_182610,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_182550,c_172792,c_12927]) ).
tcf(c_182615,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_182549,c_172791,c_172620]) ).
tcf(c_182620,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_182548,c_172620,c_12926]) ).
tcf(c_182625,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_182608,c_141]) ).
tcf(c_182631,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_182607,c_141]) ).
tcf(c_182637,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_182606,c_141]) ).
tcf(c_182643,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_182602,c_12927]) ).
tcf(c_182649,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_182601,c_141]) ).
tcf(c_182655,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_182599,c_141]) ).
tcf(c_182661,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_182593,c_141]) ).
tcf(c_182667,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_182592,c_141]) ).
tcf(c_182673,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_182591,c_141]) ).
tcf(c_182679,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_182590,c_141]) ).
tcf(c_182685,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_182589,c_141]) ).
tcf(c_182691,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_182588,c_172792]) ).
tcf(c_182697,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_182587,c_172791]) ).
tcf(c_182703,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_182586,c_12926]) ).
tcf(c_182724,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_182725,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_182726,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_182727,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_182728,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_182729,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_182730,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_182740,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_182741,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_182742,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_182743,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_182744,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_182745,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_182746,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_182747,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_182748,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_182749,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_182750,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_182751,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_182752,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_182753,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_182754,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_182755,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_182756,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_182757,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_182758,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_182759,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_172129,c_228]) ).
tcf(c_182760,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_172791,c_228]) ).
tcf(c_182761,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_172792,c_228]) ).
tcf(c_182762,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_172620,c_228]) ).
tcf(c_182763,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_175037,c_228]) ).
tcf(c_182764,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_175432,c_228]) ).
tcf(c_182765,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_175478,c_228]) ).
tcf(c_182766,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_181732,c_228]) ).
tcf(c_183181,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_183182,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_183183,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_183184,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_183185,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_183186,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_172263,c_57]) ).
tcf(c_183187,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_172309,c_57]) ).
tcf(c_183188,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_172311,c_57]) ).
tcf(c_183189,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_172651,c_57]) ).
tcf(c_183190,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_174457,c_57]) ).
tcf(c_183191,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_174459,c_57]) ).
tcf(c_183192,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_174935,c_57]) ).
tcf(c_183193,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_175377,c_57]) ).
tcf(c_183194,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_177762,c_57]) ).
tcf(c_183195,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_177918,c_57]) ).
tcf(c_183196,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_179246,c_57]) ).
tcf(c_183197,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_179820,c_57]) ).
tcf(c_183198,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_181057,c_57]) ).
tcf(c_183199,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_179255,c_57]) ).
tcf(c_183200,plain,
app(sK8(iPr_def_13,sK57),cons(sK57,sK9(iPr_def_13,sK57))) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_183199,c_172129,c_12925]) ).
tcf(c_183201,plain,
app(sK8(iPr_def_10,sK57),cons(sK57,sK9(iPr_def_10,sK57))) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_183189,c_172620,c_12925]) ).
tcf(c_183202,plain,
app(sK8(iPr_def_12,sK57),cons(sK57,sK9(iPr_def_12,sK57))) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_183188,c_172792,c_12925]) ).
tcf(c_183203,plain,
app(sK8(iPr_def_11,sK57),cons(sK57,sK9(iPr_def_11,sK57))) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_183187,c_172791,c_12925]) ).
tcf(c_183204,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_183194,c_172620]) ).
tcf(c_183207,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_183193,c_172129]) ).
tcf(c_183210,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_183198,c_12925]) ).
tcf(c_183213,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_183197,c_12925]) ).
tcf(c_183216,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_183196,c_12925]) ).
tcf(c_183219,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_183195,c_12925]) ).
tcf(c_183222,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_183192,c_12925]) ).
tcf(c_183225,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_183191,c_12925]) ).
tcf(c_183228,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_183190,c_12925]) ).
tcf(c_183231,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_183186,c_12925]) ).
tcf(c_183300,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_183301,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_183302,plain,
( ( app(app(sK13(nil,nil),nil),sK14(nil,nil)) = nil )
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_363,c_70]) ).
tcf(c_183303,plain,
app(app(sK13(nil,nil),nil),sK14(nil,nil)) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_183302,c_141]) ).
tcf(c_183306,plain,
! [X0: $i] :
( ( app(app(sK13(X0,nil),nil),sK14(X0,nil)) = X0 )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183301,c_141]) ).
tcf(c_183309,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_182529,c_228]) ).
tcf(c_183310,plain,
( ( nil = sK56 )
| ( hd(app(sK56,tl(iPr_def_11))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_182529,c_178855]) ).
tcf(c_183311,plain,
( ( nil = sK59 )
| ( hd(app(sK59,tl(iPr_def_11))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_182529,c_178854]) ).
tcf(c_183312,plain,
( ( nil = sK60 )
| ( hd(app(sK60,tl(iPr_def_11))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_182529,c_178853]) ).
tcf(c_183313,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_182529,c_234]) ).
tcf(c_183314,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_182529,c_132]) ).
tcf(c_183315,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_182529,c_233]) ).
tcf(c_183316,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_182529,c_224]) ).
tcf(c_183317,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_182529,c_147]) ).
tcf(c_183318,plain,
( ( tl(iPr_def_11) = nil )
| ( tl(tl(iPr_def_11)) = sK52(tl(iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_182529,c_222]) ).
tcf(c_183319,plain,
( ( tl(iPr_def_11) = nil )
| ( hd(tl(iPr_def_11)) = sK51(tl(iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_182529,c_220]) ).
tcf(c_183320,plain,
app(nil,cons(sK57,tl(iPr_def_11))) = cons(sK57,tl(iPr_def_11)),
inference(superposition,[status(thm)],[c_182529,c_173183]) ).
tcf(c_183321,plain,
tl(cons(sK57,tl(iPr_def_11))) = tl(iPr_def_11),
inference(superposition,[status(thm)],[c_182529,c_173821]) ).
tcf(c_183322,plain,
hd(cons(sK57,tl(iPr_def_11))) = sK57,
inference(superposition,[status(thm)],[c_182529,c_173700]) ).
tcf(c_183323,plain,
( ( tl(iPr_def_11) = nil )
| ( app(sK49(tl(iPr_def_11)),nil) = sK49(tl(iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_182529,c_172633]) ).
tcf(c_183324,plain,
( duplicatefreeP(tl(iPr_def_11))
| ( sK40(tl(iPr_def_11)) = sK41(tl(iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_182529,c_123]) ).
tcf(c_183325,plain,
app(cons(sK57,tl(iPr_def_11)),nil) = cons(sK57,tl(iPr_def_11)),
inference(superposition,[status(thm)],[c_182529,c_172683]) ).
tcf(c_183326,plain,
app(tl(iPr_def_11),nil) = tl(iPr_def_11),
inference(superposition,[status(thm)],[c_182529,c_232]) ).
tcf(c_183327,plain,
app(nil,tl(iPr_def_11)) = tl(iPr_def_11),
inference(superposition,[status(thm)],[c_182529,c_155]) ).
tcf(c_183370,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_177136,c_378]) ).
tcf(c_183373,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_177136,c_176]) ).
tcf(c_183374,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_177136,c_165]) ).
tcf(c_183377,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_183370,c_172791]) ).
tcf(c_183380,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_183374,c_172791]) ).
tcf(c_183385,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_183373,c_172791]) ).
tcf(c_183393,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_177137,c_378]) ).
tcf(c_183396,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_177137,c_176]) ).
tcf(c_183397,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_177137,c_165]) ).
tcf(c_183400,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_183393,c_172129]) ).
tcf(c_183403,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_183397,c_172129]) ).
tcf(c_183408,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_183396,c_172129]) ).
tcf(c_183416,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_177141,c_378]) ).
tcf(c_183419,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_177141,c_176]) ).
tcf(c_183420,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_177141,c_165]) ).
tcf(c_183424,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_183416,c_172620]) ).
tcf(c_183427,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_183420,c_172620]) ).
tcf(c_183432,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_183419,c_172620]) ).
tcf(c_183438,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_183200,c_167]) ).
tcf(c_183441,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_183200,c_378]) ).
tcf(c_183442,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_183200,c_375]) ).
tcf(c_183444,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_183200,c_176]) ).
tcf(c_183445,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_183200,c_165]) ).
tcf(c_183446,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_183200,c_186]) ).
tcf(c_183447,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_183200,c_166]) ).
tcf(c_183485,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_183201,c_167]) ).
tcf(c_183488,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_183201,c_378]) ).
tcf(c_183489,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_183201,c_375]) ).
tcf(c_183491,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_183201,c_176]) ).
tcf(c_183492,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_183201,c_165]) ).
tcf(c_183493,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_183201,c_186]) ).
tcf(c_183494,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_183201,c_166]) ).
tcf(c_183541,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_183202,c_167]) ).
tcf(c_183544,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_183202,c_378]) ).
tcf(c_183545,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_183202,c_375]) ).
tcf(c_183547,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_183202,c_176]) ).
tcf(c_183548,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_183202,c_165]) ).
tcf(c_183549,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_183202,c_186]) ).
tcf(c_183550,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_183202,c_166]) ).
tcf(c_183647,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_183203,c_167]) ).
tcf(c_183650,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_183203,c_378]) ).
tcf(c_183651,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_183203,c_375]) ).
tcf(c_183653,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_183203,c_176]) ).
tcf(c_183654,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_183203,c_165]) ).
tcf(c_183655,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_183203,c_186]) ).
tcf(c_183656,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_183203,c_166]) ).
tcf(c_183697,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_175377,c_182610]) ).
tcf(c_183711,plain,
sK11(sK59,sK59) = nil,
inference(global_subsumption_just,[status(thm)],[c_177314,c_78576]) ).
tcf(c_183716,plain,
sK11(sK60,sK60) = nil,
inference(global_subsumption_just,[status(thm)],[c_177326,c_83696]) ).
tcf(c_183721,plain,
tl(iPr_def_12) = sK52(iPr_def_12),
inference(global_subsumption_just,[status(thm)],[c_174699,c_18475,c_20881]) ).
tcf(c_183723,plain,
( ssList(tl(iPr_def_12))
| ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_183721,c_221]) ).
tcf(c_183724,plain,
ssList(tl(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_183723,c_176912,c_172792]) ).
tcf(c_183731,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_183732,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_183733,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_183734,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_183735,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_183736,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_183737,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_183747,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_183748,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_183749,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_183750,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_183751,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_183752,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_183753,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_183754,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_183755,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_183756,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_183757,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_183758,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_183760,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_183761,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_183762,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_183763,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_183764,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_183765,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_183767,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_172791,c_108]) ).
tcf(c_183768,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_172792,c_108]) ).
tcf(c_183770,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_175037,c_108]) ).
tcf(c_183771,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_175432,c_108]) ).
tcf(c_183772,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_175478,c_108]) ).
tcf(c_183773,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_181732,c_108]) ).
tcf(c_183774,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_182529,c_108]) ).
tcf(c_184391,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_184392,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_184393,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_184394,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_184395,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_184396,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_184397,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_184407,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_184408,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_184409,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_184410,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_184411,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_184412,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_184413,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_184414,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_184415,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_184416,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_184417,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_184418,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_184420,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_184421,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_184422,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_184423,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_184424,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_184425,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_184427,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_172791,c_116]) ).
tcf(c_184428,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_172792,c_116]) ).
tcf(c_184430,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_175037,c_116]) ).
tcf(c_184431,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_175432,c_116]) ).
tcf(c_184432,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_175478,c_116]) ).
tcf(c_184433,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_181732,c_116]) ).
tcf(c_184434,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_182529,c_116]) ).
tcf(c_184613,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_184614,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_184615,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_184616,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_184617,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_184618,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_184619,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_184629,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_184630,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_184631,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_184632,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_184633,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_184634,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_184635,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_184636,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_184637,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_184638,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_184639,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_184640,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_184642,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_184643,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_184644,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_184645,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_184646,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_184647,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_184649,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_172791,c_124]) ).
tcf(c_184650,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_172792,c_124]) ).
tcf(c_184652,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_175037,c_124]) ).
tcf(c_184653,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_175432,c_124]) ).
tcf(c_184654,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_175478,c_124]) ).
tcf(c_184655,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_181732,c_124]) ).
tcf(c_184656,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_182529,c_124]) ).
tcf(c_184903,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_184904,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_173631,c_170]) ).
tcf(c_184905,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_173637,c_170]) ).
tcf(c_184906,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_175640,c_170]) ).
tcf(c_184907,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_175641,c_170]) ).
tcf(c_184908,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_175642,c_170]) ).
tcf(c_184909,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_175650,c_170]) ).
tcf(c_184910,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_175831,c_170]) ).
tcf(c_184911,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_175832,c_170]) ).
tcf(c_184912,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_175833,c_170]) ).
tcf(c_184913,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( X0 = sK57 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_184903,c_141,c_12925]) ).
tcf(c_184918,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_184905,c_141]) ).
tcf(c_184924,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_184904,c_141]) ).
tcf(c_185008,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_183724,c_228]) ).
tcf(c_185009,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_183724,c_124]) ).
tcf(c_185010,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_183724,c_116]) ).
tcf(c_185011,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_183724,c_108]) ).
tcf(c_185012,plain,
( ( nil = sK56 )
| ( hd(app(sK56,tl(iPr_def_12))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_183724,c_178855]) ).
tcf(c_185013,plain,
( ( nil = sK59 )
| ( hd(app(sK59,tl(iPr_def_12))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_183724,c_178854]) ).
tcf(c_185014,plain,
( ( nil = sK60 )
| ( hd(app(sK60,tl(iPr_def_12))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_183724,c_178853]) ).
tcf(c_185015,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_183724,c_234]) ).
tcf(c_185016,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_183724,c_132]) ).
tcf(c_185017,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_183724,c_233]) ).
tcf(c_185018,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_183724,c_224]) ).
tcf(c_185019,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_183724,c_147]) ).
tcf(c_185020,plain,
( ( tl(iPr_def_12) = nil )
| ( tl(tl(iPr_def_12)) = sK52(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_183724,c_222]) ).
tcf(c_185021,plain,
( ( tl(iPr_def_12) = nil )
| ( hd(tl(iPr_def_12)) = sK51(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_183724,c_220]) ).
tcf(c_185022,plain,
app(nil,cons(sK57,tl(iPr_def_12))) = cons(sK57,tl(iPr_def_12)),
inference(superposition,[status(thm)],[c_183724,c_173183]) ).
tcf(c_185023,plain,
tl(cons(sK57,tl(iPr_def_12))) = tl(iPr_def_12),
inference(superposition,[status(thm)],[c_183724,c_173821]) ).
tcf(c_185024,plain,
hd(cons(sK57,tl(iPr_def_12))) = sK57,
inference(superposition,[status(thm)],[c_183724,c_173700]) ).
tcf(c_185025,plain,
( ( tl(iPr_def_12) = nil )
| ( app(sK49(tl(iPr_def_12)),nil) = sK49(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_183724,c_172633]) ).
tcf(c_185026,plain,
( duplicatefreeP(tl(iPr_def_12))
| ( sK40(tl(iPr_def_12)) = sK41(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_183724,c_123]) ).
tcf(c_185027,plain,
app(cons(sK57,tl(iPr_def_12)),nil) = cons(sK57,tl(iPr_def_12)),
inference(superposition,[status(thm)],[c_183724,c_172683]) ).
tcf(c_185028,plain,
app(tl(iPr_def_12),nil) = tl(iPr_def_12),
inference(superposition,[status(thm)],[c_183724,c_232]) ).
tcf(c_185029,plain,
app(nil,tl(iPr_def_12)) = tl(iPr_def_12),
inference(superposition,[status(thm)],[c_183724,c_155]) ).
tcf(c_185150,plain,
( ( sK12(nil,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_177142,c_231]) ).
tcf(c_185152,plain,
( frontsegP(nil,sK12(nil,nil))
| ~ ssList(nil)
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_177142,c_378]) ).
tcf(c_185155,plain,
! [X0: $i] :
( frontsegP(nil,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(nil,nil))
| ~ frontsegP(sK12(nil,nil),X0) ),
inference(superposition,[status(thm)],[c_177142,c_176]) ).
tcf(c_185156,plain,
! [X0: $i] :
( memberP(nil,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK12(nil,nil))
| ~ memberP(sK12(nil,nil),X0) ),
inference(superposition,[status(thm)],[c_177142,c_165]) ).
tcf(c_185159,plain,
( frontsegP(nil,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185152,c_141]) ).
tcf(c_185162,plain,
( ( sK12(nil,nil) = nil )
| ~ ssList(sK12(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185150,c_141]) ).
tcf(c_185165,plain,
! [X0: $i] :
( memberP(nil,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(nil,nil))
| ~ memberP(sK12(nil,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185156,c_141]) ).
tcf(c_185170,plain,
! [X0: $i] :
( frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(sK12(nil,nil))
| ~ frontsegP(sK12(nil,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185155,c_141]) ).
tcf(c_185175,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_177145,c_167]) ).
tcf(c_185178,plain,
( frontsegP(iPr_def_12,sK12(iPr_def_12,nil))
| ~ ssList(nil)
| ~ ssList(sK12(iPr_def_12,nil)) ),
inference(superposition,[status(thm)],[c_177145,c_378]) ).
tcf(c_185181,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_177145,c_176]) ).
tcf(c_185182,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_177145,c_165]) ).
tcf(c_185183,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_177145,c_186]) ).
tcf(c_185185,plain,
( frontsegP(iPr_def_12,sK12(iPr_def_12,nil))
| ~ ssList(sK12(iPr_def_12,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185178,c_141]) ).
tcf(c_185189,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_185182,c_141]) ).
tcf(c_185194,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_185181,c_141]) ).
tcf(c_185199,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_185175,c_141]) ).
tcf(c_185205,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_177146,c_167]) ).
tcf(c_185208,plain,
( frontsegP(iPr_def_11,sK12(iPr_def_11,nil))
| ~ ssList(nil)
| ~ ssList(sK12(iPr_def_11,nil)) ),
inference(superposition,[status(thm)],[c_177146,c_378]) ).
tcf(c_185211,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_177146,c_176]) ).
tcf(c_185212,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_177146,c_165]) ).
tcf(c_185213,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_177146,c_186]) ).
tcf(c_185215,plain,
( frontsegP(iPr_def_11,sK12(iPr_def_11,nil))
| ~ ssList(sK12(iPr_def_11,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185208,c_141]) ).
tcf(c_185219,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_185212,c_141]) ).
tcf(c_185224,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_185211,c_141]) ).
tcf(c_185229,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_185205,c_141]) ).
tcf(c_185235,plain,
! [X0: $i] :
( ~ memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ( X0 = sK57 ) ),
inference(global_subsumption_just,[status(thm)],[c_184913,c_29100]) ).
tcf(c_185236,plain,
! [X0: $i] :
( ( X0 = sK57 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(renaming,[status(thm)],[c_185235]) ).
tcf(c_185244,plain,
( ( sK10(iPr_def_10) = sK57 )
| ~ ssItem(sK10(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_177762,c_185236]) ).
tcf(c_185247,plain,
sK12(sK56,sK56) = nil,
inference(global_subsumption_just,[status(thm)],[c_177421,c_83707]) ).
tcf(c_185252,plain,
sK12(sK59,sK59) = nil,
inference(global_subsumption_just,[status(thm)],[c_177803,c_83718]) ).
tcf(c_185257,plain,
sK12(sK60,sK60) = nil,
inference(global_subsumption_just,[status(thm)],[c_177822,c_83729]) ).
tcf(c_185274,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(light_normalisation,[status(thm)],[c_177532,c_185247]) ).
tcf(c_185275,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185274,c_141]) ).
tcf(c_185282,plain,
( ssList(tl(tl(sK60)))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(tl(sK60)) ),
inference(superposition,[status(thm)],[c_175393,c_221]) ).
tcf(c_185299,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_185300,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_173946,c_206]) ).
tcf(c_185301,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_173947,c_206]) ).
tcf(c_185302,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_173948,c_206]) ).
tcf(c_185303,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_173949,c_206]) ).
tcf(c_185304,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_173950,c_206]) ).
tcf(c_185305,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_173951,c_206]) ).
tcf(c_185306,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_173952,c_206]) ).
tcf(c_185307,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_173953,c_206]) ).
tcf(c_185308,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_181150,c_206]) ).
tcf(c_185309,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_181151,c_206]) ).
tcf(c_185310,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_181152,c_206]) ).
tcf(c_185311,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_181392,c_206]) ).
tcf(c_185312,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_181393,c_206]) ).
tcf(c_185313,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_181394,c_206]) ).
tcf(c_185314,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_182260,c_206]) ).
tcf(c_185315,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_182261,c_206]) ).
tcf(c_185316,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_182262,c_206]) ).
tcf(c_185322,plain,
! [X0: $i] :
( totalorderedP(cons(X0,iPr_def_10))
| ~ ssItem(X0)
| ~ leq(X0,sK57) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185307,c_173666,c_172238,c_172620]) ).
tcf(c_185572,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_173946,c_212]) ).
tcf(c_185573,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_173947,c_212]) ).
tcf(c_185574,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_173948,c_212]) ).
tcf(c_185575,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_173949,c_212]) ).
tcf(c_185576,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_173950,c_212]) ).
tcf(c_185577,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_173951,c_212]) ).
tcf(c_185578,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_173952,c_212]) ).
tcf(c_185579,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_173953,c_212]) ).
tcf(c_185580,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_181150,c_212]) ).
tcf(c_185581,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_181151,c_212]) ).
tcf(c_185582,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_181152,c_212]) ).
tcf(c_185583,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_181392,c_212]) ).
tcf(c_185584,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_181393,c_212]) ).
tcf(c_185585,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_181394,c_212]) ).
tcf(c_185586,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_182260,c_212]) ).
tcf(c_185587,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_182261,c_212]) ).
tcf(c_185588,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_182262,c_212]) ).
tcf(c_185589,plain,
! [X0: $i] :
( strictorderedP(cons(X0,iPr_def_10))
| ~ ssItem(X0)
| ~ lt(X0,sK57) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185579,c_173666,c_172244,c_172620]) ).
tcf(c_185777,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,nil) != nil ) ),
inference(superposition,[status(thm)],[c_369,c_225]) ).
tcf(c_185778,plain,
! [X0: $i] :
( ( sK12(nil,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(nil,nil))
| ( app(X0,nil) != nil ) ),
inference(superposition,[status(thm)],[c_177142,c_225]) ).
tcf(c_185779,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ( app(X0,sK11(nil,nil)) != nil ) ),
inference(superposition,[status(thm)],[c_177086,c_225]) ).
tcf(c_185780,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_185781,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_185782,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_185783,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_172648,c_225]) ).
tcf(c_185784,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,sK60) != sK60 ) ),
inference(superposition,[status(thm)],[c_172467,c_225]) ).
tcf(c_185785,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,sK59) != sK59 ) ),
inference(superposition,[status(thm)],[c_172468,c_225]) ).
tcf(c_185786,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,sK56) != sK56 ) ),
inference(superposition,[status(thm)],[c_172469,c_225]) ).
tcf(c_185787,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_172470,c_225]) ).
tcf(c_185788,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,nil) != sK60 ) ),
inference(superposition,[status(thm)],[c_172552,c_225]) ).
tcf(c_185789,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,nil) != sK59 ) ),
inference(superposition,[status(thm)],[c_172553,c_225]) ).
tcf(c_185790,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,nil) != sK56 ) ),
inference(superposition,[status(thm)],[c_172554,c_225]) ).
tcf(c_185791,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_172555,c_225]) ).
tcf(c_185792,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_172647,c_225]) ).
tcf(c_185793,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_172824,c_225]) ).
tcf(c_185794,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_172825,c_225]) ).
tcf(c_185795,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_172826,c_225]) ).
tcf(c_185796,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_172827,c_225]) ).
tcf(c_185797,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_172861,c_225]) ).
tcf(c_185798,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_172862,c_225]) ).
tcf(c_185799,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_172863,c_225]) ).
tcf(c_185800,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_172864,c_225]) ).
tcf(c_185801,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_172865,c_225]) ).
tcf(c_185802,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_172866,c_225]) ).
tcf(c_185803,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_172867,c_225]) ).
tcf(c_185804,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_173385,c_225]) ).
tcf(c_185805,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_173386,c_225]) ).
tcf(c_185806,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_173387,c_225]) ).
tcf(c_185807,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_174461,c_225]) ).
tcf(c_185808,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_175040,c_225]) ).
tcf(c_185809,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_175575,c_225]) ).
tcf(c_185810,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_176367,c_225]) ).
tcf(c_185811,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_174307,c_225]) ).
tcf(c_185812,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_174308,c_225]) ).
tcf(c_185813,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_174309,c_225]) ).
tcf(c_185814,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_174310,c_225]) ).
tcf(c_185815,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_174311,c_225]) ).
tcf(c_185816,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_174312,c_225]) ).
tcf(c_185817,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_174313,c_225]) ).
tcf(c_185818,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_177098,c_225]) ).
tcf(c_185819,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_177097,c_225]) ).
tcf(c_185820,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_177096,c_225]) ).
tcf(c_185821,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_177095,c_225]) ).
tcf(c_185822,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK60,nil))
| ( app(X0,sK11(sK60,nil)) != sK60 ) ),
inference(superposition,[status(thm)],[c_177094,c_225]) ).
tcf(c_185823,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ( app(X0,sK11(sK59,nil)) != sK59 ) ),
inference(superposition,[status(thm)],[c_177093,c_225]) ).
tcf(c_185824,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ( app(X0,sK11(sK56,nil)) != sK56 ) ),
inference(superposition,[status(thm)],[c_177092,c_225]) ).
tcf(c_185825,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_177091,c_225]) ).
tcf(c_185826,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_177082,c_225]) ).
tcf(c_185827,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_177081,c_225]) ).
tcf(c_185828,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_177080,c_225]) ).
tcf(c_185829,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_177090,c_225]) ).
tcf(c_185830,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_177079,c_225]) ).
tcf(c_185831,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_177089,c_225]) ).
tcf(c_185832,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_177152,c_225]) ).
tcf(c_185833,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_177141,c_225]) ).
tcf(c_185834,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_177137,c_225]) ).
tcf(c_185835,plain,
! [X0: $i] :
( ( sK12(sK60,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK60,nil))
| ( app(X0,nil) != sK60 ) ),
inference(superposition,[status(thm)],[c_177151,c_225]) ).
tcf(c_185836,plain,
! [X0: $i] :
( ( sK12(sK59,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ( app(X0,nil) != sK59 ) ),
inference(superposition,[status(thm)],[c_177150,c_225]) ).
tcf(c_185837,plain,
! [X0: $i] :
( ( sK12(sK56,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ( app(X0,nil) != sK56 ) ),
inference(superposition,[status(thm)],[c_177149,c_225]) ).
tcf(c_185838,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_177146,c_225]) ).
tcf(c_185839,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_177136,c_225]) ).
tcf(c_185840,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_177145,c_225]) ).
tcf(c_185841,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_177135,c_225]) ).
tcf(c_185842,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_183203,c_225]) ).
tcf(c_185843,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_183202,c_225]) ).
tcf(c_185844,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_183201,c_225]) ).
tcf(c_185845,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_183200,c_225]) ).
tcf(c_185847,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,nil) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185777,c_141]) ).
tcf(c_185851,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,iPr_def_12) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185796,c_172792,c_141]) ).
tcf(c_185855,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ( app(X0,nil) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185795,c_172792,c_141]) ).
tcf(c_185859,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,iPr_def_11) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185794,c_172791,c_141]) ).
tcf(c_185863,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(X0,nil) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185793,c_172791,c_141]) ).
tcf(c_185867,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(X0,nil) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185792,c_172620,c_141]) ).
tcf(c_185871,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ~ ssList(X0)
| ( app(X0,nil) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185791,c_172129,c_141]) ).
tcf(c_185875,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ( app(X0,nil) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185790,c_12924,c_141]) ).
tcf(c_185879,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ( app(X0,nil) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185789,c_12926,c_141]) ).
tcf(c_185883,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(X0)
| ( app(X0,nil) != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185788,c_12927,c_141]) ).
tcf(c_185887,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,iPr_def_13) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185787,c_172129,c_141]) ).
tcf(c_185891,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,sK56) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185786,c_12924,c_141]) ).
tcf(c_185895,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,sK59) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185785,c_12926,c_141]) ).
tcf(c_185899,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,sK60) != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185784,c_12927,c_141]) ).
tcf(c_185903,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,iPr_def_10) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185783,c_172620,c_141]) ).
tcf(c_185907,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ( app(X0,sK60) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185782,c_172792,c_12927]) ).
tcf(c_185911,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(X0,iPr_def_10) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185781,c_172791,c_172620]) ).
tcf(c_185915,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ( app(X0,iPr_def_10) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185780,c_172620,c_12926]) ).
tcf(c_185919,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_185810,c_141]) ).
tcf(c_185924,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_185809,c_141]) ).
tcf(c_185929,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_185808,c_141]) ).
tcf(c_185934,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_185807,c_141]) ).
tcf(c_185939,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_185841,c_172792]) ).
tcf(c_185944,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_185840,c_141]) ).
tcf(c_185949,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_185839,c_172791]) ).
tcf(c_185954,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_185838,c_141]) ).
tcf(c_185959,plain,
! [X0: $i] :
( ( sK12(sK56,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ( app(X0,nil) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185837,c_141]) ).
tcf(c_185964,plain,
! [X0: $i] :
( ( sK12(sK59,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ( app(X0,nil) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185836,c_141]) ).
tcf(c_185969,plain,
! [X0: $i] :
( ( sK12(sK60,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK60,nil))
| ( app(X0,nil) != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185835,c_141]) ).
tcf(c_185974,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_185834,c_172129]) ).
tcf(c_185979,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_185833,c_172620]) ).
tcf(c_185984,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_185832,c_12927]) ).
tcf(c_185989,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_185831,c_141]) ).
tcf(c_185994,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_185830,c_172792]) ).
tcf(c_185999,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_185829,c_141]) ).
tcf(c_186004,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_185828,c_172791]) ).
tcf(c_186009,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_185827,c_172620]) ).
tcf(c_186014,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_185826,c_172129]) ).
tcf(c_186019,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_185825,c_141]) ).
tcf(c_186024,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ( app(X0,sK11(sK56,nil)) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185824,c_141]) ).
tcf(c_186029,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ( app(X0,sK11(sK59,nil)) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185823,c_141]) ).
tcf(c_186034,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK11(sK60,nil))
| ( app(X0,sK11(sK60,nil)) != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185822,c_141]) ).
tcf(c_186039,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_185821,c_141]) ).
tcf(c_186044,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_185820,c_172792]) ).
tcf(c_186049,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_185819,c_172791]) ).
tcf(c_186054,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_185818,c_12926]) ).
tcf(c_186059,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ( app(X0,sK11(nil,nil)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185779,c_141]) ).
tcf(c_186064,plain,
! [X0: $i] :
( ( sK12(nil,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(nil,nil))
| ( app(X0,nil) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_185778,c_141]) ).
tcf(c_186069,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_185817,c_141]) ).
tcf(c_186074,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_185816,c_141]) ).
tcf(c_186079,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_185815,c_141]) ).
tcf(c_186084,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_185814,c_141]) ).
tcf(c_186089,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_185813,c_141]) ).
tcf(c_186094,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_185812,c_141]) ).
tcf(c_186099,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_185811,c_141]) ).
tcf(c_186104,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_185803,c_141]) ).
tcf(c_186109,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_185802,c_141]) ).
tcf(c_186114,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_185801,c_141]) ).
tcf(c_186119,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_185800,c_141]) ).
tcf(c_186124,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_185799,c_141]) ).
tcf(c_186129,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_185798,c_141]) ).
tcf(c_186134,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_185797,c_141]) ).
tcf(c_186139,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_185806,c_141]) ).
tcf(c_186145,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_185805,c_141]) ).
tcf(c_186151,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_185804,c_141]) ).
tcf(c_186434,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(nil,X0) != nil ) ),
inference(superposition,[status(thm)],[c_369,c_226]) ).
tcf(c_186435,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(nil,nil))
| ( app(sK12(nil,nil),X0) != nil ) ),
inference(superposition,[status(thm)],[c_177142,c_226]) ).
tcf(c_186436,plain,
! [X0: $i] :
( ( sK11(nil,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ( app(nil,X0) != nil ) ),
inference(superposition,[status(thm)],[c_177086,c_226]) ).
tcf(c_186437,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_186438,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_186439,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_186440,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_172648,c_226]) ).
tcf(c_186441,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(nil,X0) != sK60 ) ),
inference(superposition,[status(thm)],[c_172467,c_226]) ).
tcf(c_186442,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(nil,X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_172468,c_226]) ).
tcf(c_186443,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(nil,X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_172469,c_226]) ).
tcf(c_186444,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_172470,c_226]) ).
tcf(c_186445,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(sK60,X0) != sK60 ) ),
inference(superposition,[status(thm)],[c_172552,c_226]) ).
tcf(c_186446,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(sK59,X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_172553,c_226]) ).
tcf(c_186447,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(sK56,X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_172554,c_226]) ).
tcf(c_186448,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_172555,c_226]) ).
tcf(c_186449,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_172647,c_226]) ).
tcf(c_186450,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_172824,c_226]) ).
tcf(c_186451,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_172825,c_226]) ).
tcf(c_186452,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_172826,c_226]) ).
tcf(c_186453,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_172827,c_226]) ).
tcf(c_186454,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_172861,c_226]) ).
tcf(c_186455,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_172862,c_226]) ).
tcf(c_186456,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_172863,c_226]) ).
tcf(c_186457,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_172864,c_226]) ).
tcf(c_186458,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_172865,c_226]) ).
tcf(c_186459,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_172866,c_226]) ).
tcf(c_186460,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_172867,c_226]) ).
tcf(c_186461,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_173385,c_226]) ).
tcf(c_186462,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_173386,c_226]) ).
tcf(c_186463,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_173387,c_226]) ).
tcf(c_186464,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_174461,c_226]) ).
tcf(c_186465,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_175040,c_226]) ).
tcf(c_186466,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_175575,c_226]) ).
tcf(c_186467,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_176367,c_226]) ).
tcf(c_186468,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_174307,c_226]) ).
tcf(c_186469,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_174308,c_226]) ).
tcf(c_186470,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_174309,c_226]) ).
tcf(c_186471,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_174310,c_226]) ).
tcf(c_186472,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_174311,c_226]) ).
tcf(c_186473,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_174312,c_226]) ).
tcf(c_186474,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_174313,c_226]) ).
tcf(c_186475,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_177098,c_226]) ).
tcf(c_186476,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_177097,c_226]) ).
tcf(c_186477,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_177096,c_226]) ).
tcf(c_186478,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_177095,c_226]) ).
tcf(c_186479,plain,
! [X0: $i] :
( ( sK11(sK60,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK60,nil))
| ( app(nil,X0) != sK60 ) ),
inference(superposition,[status(thm)],[c_177094,c_226]) ).
tcf(c_186480,plain,
! [X0: $i] :
( ( sK11(sK59,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ( app(nil,X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_177093,c_226]) ).
tcf(c_186481,plain,
! [X0: $i] :
( ( sK11(sK56,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ( app(nil,X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_177092,c_226]) ).
tcf(c_186482,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_177091,c_226]) ).
tcf(c_186483,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_177082,c_226]) ).
tcf(c_186484,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_177081,c_226]) ).
tcf(c_186485,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_177080,c_226]) ).
tcf(c_186486,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_177090,c_226]) ).
tcf(c_186487,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_177079,c_226]) ).
tcf(c_186488,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_177089,c_226]) ).
tcf(c_186489,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_177152,c_226]) ).
tcf(c_186490,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_177141,c_226]) ).
tcf(c_186491,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_177137,c_226]) ).
tcf(c_186492,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK60,nil))
| ( app(sK12(sK60,nil),X0) != sK60 ) ),
inference(superposition,[status(thm)],[c_177151,c_226]) ).
tcf(c_186493,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ( app(sK12(sK59,nil),X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_177150,c_226]) ).
tcf(c_186494,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ( app(sK12(sK56,nil),X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_177149,c_226]) ).
tcf(c_186495,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_177146,c_226]) ).
tcf(c_186496,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_177136,c_226]) ).
tcf(c_186497,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_177145,c_226]) ).
tcf(c_186498,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_177135,c_226]) ).
tcf(c_186499,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_183203,c_226]) ).
tcf(c_186500,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_183202,c_226]) ).
tcf(c_186501,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_183201,c_226]) ).
tcf(c_186502,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_183200,c_226]) ).
tcf(c_186504,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(nil,X0) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186434,c_141]) ).
tcf(c_186508,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ( app(nil,X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186453,c_172792,c_141]) ).
tcf(c_186512,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(iPr_def_12,X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186452,c_172792,c_141]) ).
tcf(c_186516,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(nil,X0) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186451,c_172791,c_141]) ).
tcf(c_186520,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186450,c_172791,c_141]) ).
tcf(c_186524,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186449,c_172620,c_141]) ).
tcf(c_186528,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186448,c_172129,c_141]) ).
tcf(c_186532,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(sK56,X0) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186447,c_12924,c_141]) ).
tcf(c_186536,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(sK59,X0) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186446,c_12926,c_141]) ).
tcf(c_186540,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(sK60,X0) != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186445,c_12927,c_141]) ).
tcf(c_186544,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ~ ssList(X0)
| ( app(nil,X0) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186444,c_172129,c_141]) ).
tcf(c_186548,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ( app(nil,X0) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186443,c_12924,c_141]) ).
tcf(c_186552,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ( app(nil,X0) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186442,c_12926,c_141]) ).
tcf(c_186556,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(X0)
| ( app(nil,X0) != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186441,c_12927,c_141]) ).
tcf(c_186560,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(nil,X0) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186440,c_172620,c_141]) ).
tcf(c_186564,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(X0)
| ( app(iPr_def_12,X0) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186439,c_172792,c_12927]) ).
tcf(c_186568,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186438,c_172791,c_172620]) ).
tcf(c_186572,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(sK59,X0) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186437,c_172620,c_12926]) ).
tcf(c_186576,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_186467,c_141]) ).
tcf(c_186581,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_186466,c_141]) ).
tcf(c_186586,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_186465,c_141]) ).
tcf(c_186591,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_186464,c_141]) ).
tcf(c_186596,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_186498,c_172792]) ).
tcf(c_186601,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_186497,c_141]) ).
tcf(c_186606,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_186496,c_172791]) ).
tcf(c_186611,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_186495,c_141]) ).
tcf(c_186616,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ( app(sK12(sK56,nil),X0) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186494,c_141]) ).
tcf(c_186621,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ( app(sK12(sK59,nil),X0) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186493,c_141]) ).
tcf(c_186626,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK12(sK60,nil))
| ( app(sK12(sK60,nil),X0) != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186492,c_141]) ).
tcf(c_186631,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_186491,c_172129]) ).
tcf(c_186636,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_186490,c_172620]) ).
tcf(c_186641,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_186489,c_12927]) ).
tcf(c_186646,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_186488,c_141]) ).
tcf(c_186651,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_186487,c_172792]) ).
tcf(c_186656,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_186486,c_141]) ).
tcf(c_186661,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_186485,c_172791]) ).
tcf(c_186666,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_186484,c_172620]) ).
tcf(c_186671,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_186483,c_172129]) ).
tcf(c_186676,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_186482,c_141]) ).
tcf(c_186681,plain,
! [X0: $i] :
( ( sK11(sK56,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ( app(nil,X0) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186481,c_141]) ).
tcf(c_186686,plain,
! [X0: $i] :
( ( sK11(sK59,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ( app(nil,X0) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186480,c_141]) ).
tcf(c_186691,plain,
! [X0: $i] :
( ( sK11(sK60,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK60,nil))
| ( app(nil,X0) != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186479,c_141]) ).
tcf(c_186696,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_186478,c_141]) ).
tcf(c_186701,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_186477,c_172792]) ).
tcf(c_186706,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_186476,c_172791]) ).
tcf(c_186711,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_186475,c_12926]) ).
tcf(c_186716,plain,
! [X0: $i] :
( ( sK11(nil,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ( app(nil,X0) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186436,c_141]) ).
tcf(c_186721,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK12(nil,nil))
| ( app(sK12(nil,nil),X0) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186435,c_141]) ).
tcf(c_186726,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_186474,c_141]) ).
tcf(c_186731,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_186473,c_141]) ).
tcf(c_186736,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_186472,c_141]) ).
tcf(c_186741,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_186471,c_141]) ).
tcf(c_186746,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_186470,c_141]) ).
tcf(c_186751,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_186469,c_141]) ).
tcf(c_186756,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_186468,c_141]) ).
tcf(c_186761,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_186460,c_141]) ).
tcf(c_186766,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_186459,c_141]) ).
tcf(c_186771,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_186458,c_141]) ).
tcf(c_186776,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_186457,c_141]) ).
tcf(c_186781,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_186456,c_141]) ).
tcf(c_186786,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_186455,c_141]) ).
tcf(c_186791,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_186454,c_141]) ).
tcf(c_186796,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_186463,c_141]) ).
tcf(c_186802,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_186462,c_141]) ).
tcf(c_186808,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_186461,c_141]) ).
tcf(c_186947,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_177147,c_167]) ).
tcf(c_186950,plain,
( frontsegP(iPr_def_10,sK12(iPr_def_10,nil))
| ~ ssList(nil)
| ~ ssList(sK12(iPr_def_10,nil)) ),
inference(superposition,[status(thm)],[c_177147,c_378]) ).
tcf(c_186953,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_177147,c_225]) ).
tcf(c_186954,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_177147,c_226]) ).
tcf(c_186955,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_177147,c_176]) ).
tcf(c_186956,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_177147,c_165]) ).
tcf(c_186957,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_177147,c_186]) ).
tcf(c_186959,plain,
( frontsegP(iPr_def_10,sK12(iPr_def_10,nil))
| ~ ssList(sK12(iPr_def_10,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186950,c_141]) ).
tcf(c_186963,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_186956,c_141]) ).
tcf(c_186968,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_186955,c_141]) ).
tcf(c_186973,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_186947,c_141]) ).
tcf(c_186979,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_186954,c_141]) ).
tcf(c_186984,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_186953,c_141]) ).
tcf(c_187100,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_177148,c_167]) ).
tcf(c_187103,plain,
( frontsegP(iPr_def_13,sK12(iPr_def_13,nil))
| ~ ssList(nil)
| ~ ssList(sK12(iPr_def_13,nil)) ),
inference(superposition,[status(thm)],[c_177148,c_378]) ).
tcf(c_187106,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_177148,c_225]) ).
tcf(c_187107,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_177148,c_226]) ).
tcf(c_187108,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_177148,c_176]) ).
tcf(c_187109,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_177148,c_165]) ).
tcf(c_187110,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_177148,c_186]) ).
tcf(c_187112,plain,
( frontsegP(iPr_def_13,sK12(iPr_def_13,nil))
| ~ ssList(sK12(iPr_def_13,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187103,c_141]) ).
tcf(c_187116,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_187109,c_141]) ).
tcf(c_187121,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_187108,c_141]) ).
tcf(c_187126,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_187100,c_141]) ).
tcf(c_187132,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_187107,c_141]) ).
tcf(c_187137,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_187106,c_141]) ).
tcf(c_187144,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_177153,c_167]) ).
tcf(c_187147,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_177153,c_378]) ).
tcf(c_187150,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_177153,c_225]) ).
tcf(c_187151,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_177153,c_226]) ).
tcf(c_187152,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_177153,c_176]) ).
tcf(c_187153,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_177153,c_165]) ).
tcf(c_187154,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_177153,c_186]) ).
tcf(c_187155,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_177153,c_166]) ).
tcf(c_187157,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_187147,c_172620]) ).
tcf(c_187162,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_187153,c_172620]) ).
tcf(c_187167,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_187152,c_172620]) ).
tcf(c_187172,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_187144,c_172620]) ).
tcf(c_187178,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_187151,c_172620]) ).
tcf(c_187183,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_187150,c_172620]) ).
tcf(c_187190,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_177154,c_167]) ).
tcf(c_187193,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_177154,c_378]) ).
tcf(c_187196,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_177154,c_225]) ).
tcf(c_187197,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_177154,c_226]) ).
tcf(c_187198,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_177154,c_176]) ).
tcf(c_187199,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_177154,c_165]) ).
tcf(c_187200,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_177154,c_186]) ).
tcf(c_187201,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_177154,c_166]) ).
tcf(c_187203,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_187193,c_172620]) ).
tcf(c_187208,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_187199,c_172620]) ).
tcf(c_187213,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_187198,c_172620]) ).
tcf(c_187218,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_187190,c_172620]) ).
tcf(c_187224,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_187197,c_172620]) ).
tcf(c_187229,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_187196,c_172620]) ).
tcf(c_187241,plain,
( ( sK12(nil,nil) = sK56 )
| ~ ssList(sK12(nil,nil))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_177142,c_185875]) ).
tcf(c_187263,plain,
( ( sK12(sK60,nil) = sK56 )
| ~ ssList(sK12(sK60,nil))
| ( sK60 != sK56 ) ),
inference(superposition,[status(thm)],[c_177151,c_185875]) ).
tcf(c_187264,plain,
( ( sK12(sK59,nil) = sK56 )
| ~ ssList(sK12(sK59,nil))
| ( sK59 != sK56 ) ),
inference(superposition,[status(thm)],[c_177150,c_185875]) ).
tcf(c_187265,plain,
( ( sK12(sK56,nil) = sK56 )
| ~ ssList(sK12(sK56,nil)) ),
inference(superposition,[status(thm)],[c_177149,c_185875]) ).
tcf(c_187266,plain,
( ( sK12(iPr_def_13,nil) = sK56 )
| ~ ssList(sK12(iPr_def_13,nil))
| ( sK56 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_177148,c_185875]) ).
tcf(c_187267,plain,
( ( sK12(iPr_def_10,nil) = sK56 )
| ~ ssList(sK12(iPr_def_10,nil))
| ( sK56 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_177147,c_185875]) ).
tcf(c_187268,plain,
( ( sK12(iPr_def_11,nil) = sK56 )
| ~ ssList(sK12(iPr_def_11,nil))
| ( sK56 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_177146,c_185875]) ).
tcf(c_187269,plain,
( ( sK12(iPr_def_12,nil) = sK56 )
| ~ ssList(sK12(iPr_def_12,nil))
| ( sK56 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_177145,c_185875]) ).
tcf(c_187319,plain,
( ( sK12(nil,nil) = sK59 )
| ~ ssList(sK12(nil,nil))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_177142,c_185879]) ).
tcf(c_187341,plain,
( ( sK12(sK60,nil) = sK59 )
| ~ ssList(sK12(sK60,nil))
| ( sK59 != sK60 ) ),
inference(superposition,[status(thm)],[c_177151,c_185879]) ).
tcf(c_187342,plain,
( ( sK12(sK59,nil) = sK59 )
| ~ ssList(sK12(sK59,nil)) ),
inference(superposition,[status(thm)],[c_177150,c_185879]) ).
tcf(c_187343,plain,
( ( sK12(sK56,nil) = sK59 )
| ~ ssList(sK12(sK56,nil))
| ( sK59 != sK56 ) ),
inference(superposition,[status(thm)],[c_177149,c_185879]) ).
tcf(c_187344,plain,
( ( sK12(iPr_def_13,nil) = sK59 )
| ~ ssList(sK12(iPr_def_13,nil))
| ( sK59 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_177148,c_185879]) ).
tcf(c_187345,plain,
( ( sK12(iPr_def_10,nil) = sK59 )
| ~ ssList(sK12(iPr_def_10,nil))
| ( sK59 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_177147,c_185879]) ).
tcf(c_187346,plain,
( ( sK12(iPr_def_11,nil) = sK59 )
| ~ ssList(sK12(iPr_def_11,nil))
| ( sK59 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_177146,c_185879]) ).
tcf(c_187347,plain,
( ( sK12(iPr_def_12,nil) = sK59 )
| ~ ssList(sK12(iPr_def_12,nil))
| ( sK59 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_177145,c_185879]) ).
tcf(c_187378,plain,
( ( sK12(nil,nil) = sK60 )
| ~ ssList(sK12(nil,nil))
| ( nil != sK60 ) ),
inference(superposition,[status(thm)],[c_177142,c_185883]) ).
tcf(c_187400,plain,
( ( sK12(sK60,nil) = sK60 )
| ~ ssList(sK12(sK60,nil)) ),
inference(superposition,[status(thm)],[c_177151,c_185883]) ).
tcf(c_187401,plain,
( ( sK12(sK59,nil) = sK60 )
| ~ ssList(sK12(sK59,nil))
| ( sK59 != sK60 ) ),
inference(superposition,[status(thm)],[c_177150,c_185883]) ).
tcf(c_187402,plain,
( ( sK12(sK56,nil) = sK60 )
| ~ ssList(sK12(sK56,nil))
| ( sK60 != sK56 ) ),
inference(superposition,[status(thm)],[c_177149,c_185883]) ).
tcf(c_187403,plain,
( ( sK12(iPr_def_13,nil) = sK60 )
| ~ ssList(sK12(iPr_def_13,nil))
| ( sK60 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_177148,c_185883]) ).
tcf(c_187404,plain,
( ( sK12(iPr_def_10,nil) = sK60 )
| ~ ssList(sK12(iPr_def_10,nil))
| ( sK60 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_177147,c_185883]) ).
tcf(c_187405,plain,
( ( sK12(iPr_def_11,nil) = sK60 )
| ~ ssList(sK12(iPr_def_11,nil))
| ( sK60 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_177146,c_185883]) ).
tcf(c_187406,plain,
( ( sK12(iPr_def_12,nil) = sK60 )
| ~ ssList(sK12(iPr_def_12,nil))
| ( sK60 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_177145,c_185883]) ).
tcf(c_187450,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ( sK60 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_12920,c_185899]) ).
tcf(c_187453,plain,
sK60 != iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_187450,c_176912,c_172792]) ).
tcf(c_187462,plain,
( ( sK12(iPr_def_13,sK60) = iPr_def_12 )
| ~ ssList(sK12(iPr_def_13,sK60)) ),
inference(superposition,[status(thm)],[c_177152,c_185907]) ).
tcf(c_187472,plain,
( ( sK59 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ( iPr_def_11 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_12919,c_185915]) ).
tcf(c_187473,plain,
( ( nil = sK59 )
| ~ ssList(nil)
| ( iPr_def_10 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_172648,c_185915]) ).
tcf(c_187474,plain,
( ( sK12(iPr_def_11,iPr_def_10) = sK59 )
| ~ ssList(sK12(iPr_def_11,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_177154,c_185915]) ).
tcf(c_187475,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_177153,c_185915]) ).
tcf(c_187476,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_177141,c_185915]) ).
tcf(c_187479,plain,
( ( nil = sK59 )
| ( iPr_def_10 != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187473,c_141]) ).
tcf(c_187482,plain,
( ( sK59 = iPr_def_11 )
| ( iPr_def_11 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187472,c_172791]) ).
tcf(c_187563,plain,
( ssItem(hd(tl(sK60)))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(tl(sK60)) ),
inference(superposition,[status(thm)],[c_175394,c_219]) ).
tcf(c_187578,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_187579,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_177142,c_67]) ).
tcf(c_187580,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_177086,c_67]) ).
tcf(c_187581,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_187582,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_187583,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_187584,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_172648,c_67]) ).
tcf(c_187585,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_172467,c_67]) ).
tcf(c_187586,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_172468,c_67]) ).
tcf(c_187587,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_172469,c_67]) ).
tcf(c_187588,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_172470,c_67]) ).
tcf(c_187589,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_172552,c_67]) ).
tcf(c_187590,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_172553,c_67]) ).
tcf(c_187591,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_172554,c_67]) ).
tcf(c_187592,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_172555,c_67]) ).
tcf(c_187593,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_172647,c_67]) ).
tcf(c_187594,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_172824,c_67]) ).
tcf(c_187595,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_172825,c_67]) ).
tcf(c_187596,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_172826,c_67]) ).
tcf(c_187597,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_172827,c_67]) ).
tcf(c_187598,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_172861,c_67]) ).
tcf(c_187599,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_172862,c_67]) ).
tcf(c_187600,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_172863,c_67]) ).
tcf(c_187601,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_172864,c_67]) ).
tcf(c_187602,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_172865,c_67]) ).
tcf(c_187603,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_172866,c_67]) ).
tcf(c_187604,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_172867,c_67]) ).
tcf(c_187605,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_173385,c_67]) ).
tcf(c_187606,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_173386,c_67]) ).
tcf(c_187607,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_173387,c_67]) ).
tcf(c_187608,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_174461,c_67]) ).
tcf(c_187609,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_175040,c_67]) ).
tcf(c_187610,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_175575,c_67]) ).
tcf(c_187611,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_176367,c_67]) ).
tcf(c_187612,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_174307,c_67]) ).
tcf(c_187613,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_174308,c_67]) ).
tcf(c_187614,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_174309,c_67]) ).
tcf(c_187615,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_174310,c_67]) ).
tcf(c_187616,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_174311,c_67]) ).
tcf(c_187617,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_174312,c_67]) ).
tcf(c_187618,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_174313,c_67]) ).
tcf(c_187619,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_177098,c_67]) ).
tcf(c_187620,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_177097,c_67]) ).
tcf(c_187621,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_177096,c_67]) ).
tcf(c_187622,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_177095,c_67]) ).
tcf(c_187623,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_177094,c_67]) ).
tcf(c_187624,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_177093,c_67]) ).
tcf(c_187625,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_177092,c_67]) ).
tcf(c_187626,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_177091,c_67]) ).
tcf(c_187627,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_177082,c_67]) ).
tcf(c_187628,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_177081,c_67]) ).
tcf(c_187629,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_177080,c_67]) ).
tcf(c_187630,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_177090,c_67]) ).
tcf(c_187631,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_177079,c_67]) ).
tcf(c_187632,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_177089,c_67]) ).
tcf(c_187633,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_177154,c_67]) ).
tcf(c_187634,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_177153,c_67]) ).
tcf(c_187635,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_177152,c_67]) ).
tcf(c_187636,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_177141,c_67]) ).
tcf(c_187637,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_177137,c_67]) ).
tcf(c_187638,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_177151,c_67]) ).
tcf(c_187639,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_177150,c_67]) ).
tcf(c_187640,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_177149,c_67]) ).
tcf(c_187641,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_177148,c_67]) ).
tcf(c_187642,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_177147,c_67]) ).
tcf(c_187643,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_177146,c_67]) ).
tcf(c_187644,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_177136,c_67]) ).
tcf(c_187645,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_177145,c_67]) ).
tcf(c_187646,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_177135,c_67]) ).
tcf(c_187647,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_183203,c_67]) ).
tcf(c_187648,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_183202,c_67]) ).
tcf(c_187649,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_183201,c_67]) ).
tcf(c_187650,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_183200,c_67]) ).
tcf(c_187651,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_187652,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_187653,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_187654,plain,
! [X0: $i] :
( segmentP(app(nil,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(nil,X0)) ),
inference(light_normalisation,[status(thm)],[c_187578,c_369]) ).
tcf(c_187655,plain,
! [X0: $i] :
( segmentP(app(nil,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(nil,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187654,c_141]) ).
tcf(c_187659,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_187597,c_172827]) ).
tcf(c_187660,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_187659,c_172792,c_141]) ).
tcf(c_187664,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_187596,c_172826]) ).
tcf(c_187665,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_187664,c_172792,c_141]) ).
tcf(c_187669,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_187595,c_172825]) ).
tcf(c_187670,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_187669,c_172791,c_141]) ).
tcf(c_187674,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_187594,c_172824]) ).
tcf(c_187675,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_187674,c_172791,c_141]) ).
tcf(c_187679,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_187593,c_172647]) ).
tcf(c_187680,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_187679,c_172620,c_141]) ).
tcf(c_187684,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_187592,c_172555]) ).
tcf(c_187685,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_187684,c_172129,c_141]) ).
tcf(c_187689,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),nil)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK56,X0)) ),
inference(light_normalisation,[status(thm)],[c_187591,c_172554]) ).
tcf(c_187690,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(sK56,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187689,c_12924,c_141]) ).
tcf(c_187694,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),nil)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK59,X0)) ),
inference(light_normalisation,[status(thm)],[c_187590,c_172553]) ).
tcf(c_187695,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(sK59,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187694,c_12926,c_141]) ).
tcf(c_187699,plain,
! [X0: $i] :
( segmentP(app(sK60,X0),nil)
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK60,X0)) ),
inference(light_normalisation,[status(thm)],[c_187589,c_172552]) ).
tcf(c_187700,plain,
! [X0: $i] :
( segmentP(app(sK60,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(sK60,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187699,c_12927,c_141]) ).
tcf(c_187704,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_187588,c_172470]) ).
tcf(c_187705,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_187704,c_172129,c_141]) ).
tcf(c_187709,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK56)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK56,X0)) ),
inference(light_normalisation,[status(thm)],[c_187587,c_172469]) ).
tcf(c_187710,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK56)
| ~ ssList(X0)
| ~ ssList(app(sK56,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187709,c_12924,c_141]) ).
tcf(c_187714,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK59)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK59,X0)) ),
inference(light_normalisation,[status(thm)],[c_187586,c_172468]) ).
tcf(c_187715,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK59)
| ~ ssList(X0)
| ~ ssList(app(sK59,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187714,c_12926,c_141]) ).
tcf(c_187719,plain,
! [X0: $i] :
( segmentP(app(sK60,X0),sK60)
| ~ ssList(sK60)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK60,X0)) ),
inference(light_normalisation,[status(thm)],[c_187585,c_172467]) ).
tcf(c_187720,plain,
! [X0: $i] :
( segmentP(app(sK60,X0),sK60)
| ~ ssList(X0)
| ~ ssList(app(sK60,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_187719,c_12927,c_141]) ).
tcf(c_187724,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_187584,c_172648]) ).
tcf(c_187725,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_187724,c_172620,c_141]) ).
tcf(c_187729,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_187583,c_12920]) ).
tcf(c_187730,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_187729,c_172792,c_12927]) ).
tcf(c_187734,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_187582,c_12919]) ).
tcf(c_187735,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_187734,c_172791,c_172620]) ).
tcf(c_187739,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_187581,c_12918]) ).
tcf(c_187740,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_187739,c_172620,c_12926]) ).
tcf(c_187744,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_187611,c_176367]) ).
tcf(c_187745,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_187744,c_141]) ).
tcf(c_187750,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_187610,c_175575]) ).
tcf(c_187751,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_187750,c_141]) ).
tcf(c_187756,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_187609,c_175040]) ).
tcf(c_187757,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_187756,c_141]) ).
tcf(c_187762,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_187608,c_174461]) ).
tcf(c_187763,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_187762,c_141]) ).
tcf(c_187768,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_187646,c_177135]) ).
tcf(c_187769,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_187768,c_172792]) ).
tcf(c_187774,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_187645,c_177145]) ).
tcf(c_187775,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_187774,c_141]) ).
tcf(c_187780,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_187644,c_177136]) ).
tcf(c_187781,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_187780,c_172791]) ).
tcf(c_187786,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_187643,c_177146]) ).
tcf(c_187787,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_187786,c_141]) ).
tcf(c_187792,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_187642,c_177147]) ).
tcf(c_187793,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_187792,c_141]) ).
tcf(c_187798,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_187641,c_177148]) ).
tcf(c_187799,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_187798,c_141]) ).
tcf(c_187804,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_187640,c_177149]) ).
tcf(c_187805,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_187804,c_141]) ).
tcf(c_187810,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_187639,c_177150]) ).
tcf(c_187811,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_187810,c_141]) ).
tcf(c_187816,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_187638,c_177151]) ).
tcf(c_187817,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_187816,c_141]) ).
tcf(c_187822,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_187637,c_177137]) ).
tcf(c_187823,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_187822,c_172129]) ).
tcf(c_187828,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_187636,c_177141]) ).
tcf(c_187829,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_187828,c_172620]) ).
tcf(c_187834,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_187635,c_177152]) ).
tcf(c_187835,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_187834,c_12927]) ).
tcf(c_187840,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_187634,c_177153]) ).
tcf(c_187841,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_187840,c_172620]) ).
tcf(c_187846,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_187633,c_177154]) ).
tcf(c_187847,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_187846,c_172620]) ).
tcf(c_187852,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_187579,c_177142]) ).
tcf(c_187853,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_187852,c_141]) ).
tcf(c_187858,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_187632,c_177089]) ).
tcf(c_187859,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_187858,c_141]) ).
tcf(c_187864,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_187631,c_177079]) ).
tcf(c_187865,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_187864,c_172792]) ).
tcf(c_187870,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_187630,c_177090]) ).
tcf(c_187871,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_187870,c_141]) ).
tcf(c_187876,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_187629,c_177080]) ).
tcf(c_187877,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_187876,c_172791]) ).
tcf(c_187882,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_187628,c_177081]) ).
tcf(c_187883,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_187882,c_172620]) ).
tcf(c_187888,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_187627,c_177082]) ).
tcf(c_187889,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_187888,c_172129]) ).
tcf(c_187894,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_187626,c_177091]) ).
tcf(c_187895,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_187894,c_141]) ).
tcf(c_187900,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_187625,c_177092]) ).
tcf(c_187901,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_187900,c_141]) ).
tcf(c_187906,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_187624,c_177093]) ).
tcf(c_187907,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_187906,c_141]) ).
tcf(c_187912,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_187623,c_177094]) ).
tcf(c_187913,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_187912,c_141]) ).
tcf(c_187918,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_187622,c_177095]) ).
tcf(c_187919,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_187918,c_141]) ).
tcf(c_187924,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_187621,c_177096]) ).
tcf(c_187925,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_187924,c_172792]) ).
tcf(c_187930,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_187620,c_177097]) ).
tcf(c_187931,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_187930,c_172791]) ).
tcf(c_187936,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_187619,c_177098]) ).
tcf(c_187937,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_187936,c_12926]) ).
tcf(c_187942,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_187604,c_172867]) ).
tcf(c_187943,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_187942,c_141]) ).
tcf(c_187948,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_187603,c_172866]) ).
tcf(c_187949,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_187948,c_141]) ).
tcf(c_187954,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_187602,c_172865]) ).
tcf(c_187955,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_187954,c_141]) ).
tcf(c_187960,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_187601,c_172864]) ).
tcf(c_187961,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_187960,c_141]) ).
tcf(c_187966,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_187600,c_172863]) ).
tcf(c_187967,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_187966,c_141]) ).
tcf(c_187972,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_187599,c_172862]) ).
tcf(c_187973,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_187972,c_141]) ).
tcf(c_187978,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_187598,c_172861]) ).
tcf(c_187979,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_187978,c_141]) ).
tcf(c_187984,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_187580,c_177086]) ).
tcf(c_187985,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_187984,c_141]) ).
tcf(c_187990,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_187607,c_141]) ).
tcf(c_187996,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_187606,c_141]) ).
tcf(c_188002,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_187605,c_141]) ).
tcf(c_188008,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_187618,c_174313]) ).
tcf(c_188009,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_188008,c_141]) ).
tcf(c_188014,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_187617,c_174312]) ).
tcf(c_188015,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_188014,c_141]) ).
tcf(c_188020,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_187616,c_174311]) ).
tcf(c_188021,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_188020,c_141]) ).
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(cons(sK57,iPr_def_13),X0)) ),
inference(light_normalisation,[status(thm)],[c_187615,c_174310]) ).
tcf(c_188027,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_188026,c_141]) ).
tcf(c_188032,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_187614,c_174309]) ).
tcf(c_188033,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_188032,c_141]) ).
tcf(c_188038,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_187613,c_174308]) ).
tcf(c_188039,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_188038,c_141]) ).
tcf(c_188044,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_187612,c_174307]) ).
tcf(c_188045,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_188044,c_141]) ).
tcf(c_188063,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_187650,c_183200]) ).
tcf(c_188069,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_187649,c_183201]) ).
tcf(c_188075,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_187648,c_183202]) ).
tcf(c_188081,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_187647,c_183203]) ).
tcf(c_188344,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_188346,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_188347,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_173631,c_179]) ).
tcf(c_188348,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_173637,c_179]) ).
tcf(c_188349,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_175640,c_179]) ).
tcf(c_188350,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_175641,c_179]) ).
tcf(c_188351,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_175642,c_179]) ).
tcf(c_188352,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_175650,c_179]) ).
tcf(c_188353,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_175831,c_179]) ).
tcf(c_188354,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_175832,c_179]) ).
tcf(c_188355,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_175833,c_179]) ).
tcf(c_188356,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_188357,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_173631,c_179]) ).
tcf(c_188358,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_173637,c_179]) ).
tcf(c_188359,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_175640,c_179]) ).
tcf(c_188360,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_175641,c_179]) ).
tcf(c_188361,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_175642,c_179]) ).
tcf(c_188362,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_175650,c_179]) ).
tcf(c_188363,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_175831,c_179]) ).
tcf(c_188364,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_175832,c_179]) ).
tcf(c_188365,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_175833,c_179]) ).
tcf(c_188370,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_188356,c_141,c_12925]) ).
tcf(c_188375,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_188346,c_141,c_12925]) ).
tcf(c_188380,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_188358,c_141]) ).
tcf(c_188386,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_188357,c_141]) ).
tcf(c_188392,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_188348,c_141]) ).
tcf(c_188398,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_188347,c_141]) ).
tcf(c_188530,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_188531,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_177142,c_193]) ).
tcf(c_188532,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_177086,c_193]) ).
tcf(c_188533,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_188534,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_188535,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_188536,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_172648,c_193]) ).
tcf(c_188537,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_172467,c_193]) ).
tcf(c_188538,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_172468,c_193]) ).
tcf(c_188539,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_172469,c_193]) ).
tcf(c_188540,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_172470,c_193]) ).
tcf(c_188541,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_172552,c_193]) ).
tcf(c_188542,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_172553,c_193]) ).
tcf(c_188543,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_172554,c_193]) ).
tcf(c_188544,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_172555,c_193]) ).
tcf(c_188545,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_172647,c_193]) ).
tcf(c_188546,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_172824,c_193]) ).
tcf(c_188547,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_172825,c_193]) ).
tcf(c_188548,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_172826,c_193]) ).
tcf(c_188549,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_172827,c_193]) ).
tcf(c_188550,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_172861,c_193]) ).
tcf(c_188551,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_172862,c_193]) ).
tcf(c_188552,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_172863,c_193]) ).
tcf(c_188553,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_172864,c_193]) ).
tcf(c_188554,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_172865,c_193]) ).
tcf(c_188555,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_172866,c_193]) ).
tcf(c_188556,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_172867,c_193]) ).
tcf(c_188557,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_173385,c_193]) ).
tcf(c_188558,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_173386,c_193]) ).
tcf(c_188559,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_173387,c_193]) ).
tcf(c_188560,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_174461,c_193]) ).
tcf(c_188561,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_175040,c_193]) ).
tcf(c_188562,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_175575,c_193]) ).
tcf(c_188563,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_176367,c_193]) ).
tcf(c_188564,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_174307,c_193]) ).
tcf(c_188565,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_174308,c_193]) ).
tcf(c_188566,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_174309,c_193]) ).
tcf(c_188567,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_174310,c_193]) ).
tcf(c_188568,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_174311,c_193]) ).
tcf(c_188569,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_174312,c_193]) ).
tcf(c_188570,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_174313,c_193]) ).
tcf(c_188571,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_177098,c_193]) ).
tcf(c_188572,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_177097,c_193]) ).
tcf(c_188573,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_177096,c_193]) ).
tcf(c_188574,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_177095,c_193]) ).
tcf(c_188575,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_177094,c_193]) ).
tcf(c_188576,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_177093,c_193]) ).
tcf(c_188577,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_177092,c_193]) ).
tcf(c_188578,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_177091,c_193]) ).
tcf(c_188579,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_177082,c_193]) ).
tcf(c_188580,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_177081,c_193]) ).
tcf(c_188581,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_177080,c_193]) ).
tcf(c_188582,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_177090,c_193]) ).
tcf(c_188583,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_177079,c_193]) ).
tcf(c_188584,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_177089,c_193]) ).
tcf(c_188585,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_177154,c_193]) ).
tcf(c_188586,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_177153,c_193]) ).
tcf(c_188587,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_177152,c_193]) ).
tcf(c_188588,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_177141,c_193]) ).
tcf(c_188589,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_177137,c_193]) ).
tcf(c_188590,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_177151,c_193]) ).
tcf(c_188591,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_177150,c_193]) ).
tcf(c_188592,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_177149,c_193]) ).
tcf(c_188593,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_177148,c_193]) ).
tcf(c_188594,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_177147,c_193]) ).
tcf(c_188595,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_177146,c_193]) ).
tcf(c_188596,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_177136,c_193]) ).
tcf(c_188597,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_177145,c_193]) ).
tcf(c_188598,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_177135,c_193]) ).
tcf(c_188599,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_183203,c_193]) ).
tcf(c_188600,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_183202,c_193]) ).
tcf(c_188601,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_183201,c_193]) ).
tcf(c_188602,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_183200,c_193]) ).
tcf(c_188603,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_188604,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_188605,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_188606,plain,
! [X0: $i,X1: $i] :
( segmentP(app(nil,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188530,c_141]) ).
tcf(c_188611,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_188549,c_172792,c_141]) ).
tcf(c_188616,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_188548,c_172792,c_141]) ).
tcf(c_188621,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_188547,c_172791,c_141]) ).
tcf(c_188626,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_188546,c_172791,c_141]) ).
tcf(c_188631,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_188545,c_172620,c_141]) ).
tcf(c_188636,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_188544,c_172129,c_141]) ).
tcf(c_188641,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188543,c_12924,c_141]) ).
tcf(c_188646,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188542,c_12926,c_141]) ).
tcf(c_188651,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK60,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188541,c_12927,c_141]) ).
tcf(c_188656,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_188540,c_172129,c_141]) ).
tcf(c_188661,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188539,c_12924,c_141]) ).
tcf(c_188666,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188538,c_12926,c_141]) ).
tcf(c_188671,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK60,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_188537,c_12927,c_141]) ).
tcf(c_188676,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_188536,c_172620,c_141]) ).
tcf(c_188681,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_188535,c_172792,c_12927]) ).
tcf(c_188686,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_188534,c_172791,c_172620]) ).
tcf(c_188691,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_188533,c_172620,c_12926]) ).
tcf(c_188710,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_188563,c_141]) ).
tcf(c_188716,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_188562,c_141]) ).
tcf(c_188722,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_188561,c_141]) ).
tcf(c_188728,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_188560,c_141]) ).
tcf(c_188735,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_188584,c_141]) ).
tcf(c_188741,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_188583,c_172792]) ).
tcf(c_188747,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_188582,c_141]) ).
tcf(c_188753,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_188581,c_172791]) ).
tcf(c_188759,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_188580,c_172620]) ).
tcf(c_188765,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_188579,c_172129]) ).
tcf(c_188771,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_188578,c_141]) ).
tcf(c_188777,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_188577,c_141]) ).
tcf(c_188783,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_188576,c_141]) ).
tcf(c_188789,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_188575,c_141]) ).
tcf(c_188795,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_188574,c_141]) ).
tcf(c_188801,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_188573,c_172792]) ).
tcf(c_188807,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_188572,c_172791]) ).
tcf(c_188813,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_188571,c_12926]) ).
tcf(c_188819,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_188556,c_141]) ).
tcf(c_188825,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_188555,c_141]) ).
tcf(c_188831,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_188554,c_141]) ).
tcf(c_188837,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_188553,c_141]) ).
tcf(c_188843,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_188552,c_141]) ).
tcf(c_188849,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_188551,c_141]) ).
tcf(c_188855,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_188550,c_141]) ).
tcf(c_188861,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_188532,c_141]) ).
tcf(c_188867,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_188570,c_141]) ).
tcf(c_188873,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_188569,c_141]) ).
tcf(c_188879,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_188568,c_141]) ).
tcf(c_188885,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_188567,c_141]) ).
tcf(c_188891,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_188566,c_141]) ).
tcf(c_188897,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_188565,c_141]) ).
tcf(c_188903,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_188564,c_141]) ).
tcf(c_188909,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_188559,c_141]) ).
tcf(c_188916,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_188558,c_141]) ).
tcf(c_188923,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_188557,c_141]) ).
tcf(c_189103,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_189104,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_173631,c_178]) ).
tcf(c_189105,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_173637,c_178]) ).
tcf(c_189106,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_175640,c_178]) ).
tcf(c_189107,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_175641,c_178]) ).
tcf(c_189108,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_175642,c_178]) ).
tcf(c_189109,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_175650,c_178]) ).
tcf(c_189110,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_175831,c_178]) ).
tcf(c_189111,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_175832,c_178]) ).
tcf(c_189112,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_175833,c_178]) ).
tcf(c_189113,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_189114,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_173631,c_178]) ).
tcf(c_189115,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_173637,c_178]) ).
tcf(c_189116,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_175640,c_178]) ).
tcf(c_189117,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_175641,c_178]) ).
tcf(c_189118,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_175642,c_178]) ).
tcf(c_189119,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_175650,c_178]) ).
tcf(c_189120,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_175831,c_178]) ).
tcf(c_189121,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_175832,c_178]) ).
tcf(c_189122,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_175833,c_178]) ).
tcf(c_189123,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_189113,c_141,c_12925]) ).
tcf(c_189128,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_189103,c_141,c_12925]) ).
tcf(c_189133,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_189115,c_141]) ).
tcf(c_189139,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_189114,c_141]) ).
tcf(c_189145,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_189105,c_141]) ).
tcf(c_189151,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_189104,c_141]) ).
tcf(c_189284,plain,
~ frontsegP(iPr_def_11,iPr_def_12),
inference(global_subsumption_just,[status(thm)],[c_178023,c_22147,c_31573,c_36948]) ).
tcf(c_189296,plain,
( segmentP(sK56,sK56)
| ~ ssList(nil)
| ~ ssList(app(sK56,nil)) ),
inference(superposition,[status(thm)],[c_172554,c_187710]) ).
tcf(c_189297,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_187710,c_70]) ).
tcf(c_189298,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_187710,c_190]) ).
tcf(c_189299,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_187710,c_191]) ).
tcf(c_189300,plain,
( segmentP(sK56,sK56)
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_189296,c_172554]) ).
tcf(c_189301,plain,
segmentP(sK56,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_189300,c_12924,c_141]) ).
tcf(c_189302,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_189299,c_12924]) ).
tcf(c_189307,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_189298,c_12924]) ).
tcf(c_189313,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_189297,c_12924]) ).
tcf(c_189317,plain,
( ( app(app(sK13(sK56,sK56),sK56),sK14(sK56,sK56)) = sK56 )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_189301,c_70]) ).
tcf(c_189320,plain,
app(app(sK13(sK56,sK56),sK56),sK14(sK56,sK56)) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_189317,c_12924]) ).
tcf(c_189321,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_189320,c_67]) ).
tcf(c_189324,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_189320,c_167]) ).
tcf(c_189325,plain,
( ( app(sK13(sK56,sK56),sK56) = nil )
| ~ ssList(sK14(sK56,sK56))
| ~ ssList(app(sK13(sK56,sK56),sK56))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_189320,c_231]) ).
tcf(c_189326,plain,
( ( sK14(sK56,sK56) = nil )
| ~ ssList(sK14(sK56,sK56))
| ~ ssList(app(sK13(sK56,sK56),sK56))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_189320,c_230]) ).
tcf(c_189327,plain,
( frontsegP(sK56,app(sK13(sK56,sK56),sK56))
| ~ ssList(sK14(sK56,sK56))
| ~ ssList(app(sK13(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_189320,c_378]) ).
tcf(c_189328,plain,
( rearsegP(sK56,sK14(sK56,sK56))
| ~ ssList(sK14(sK56,sK56))
| ~ ssList(app(sK13(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_189320,c_375]) ).
tcf(c_189330,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_189320,c_225]) ).
tcf(c_189332,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_189320,c_226]) ).
tcf(c_189333,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_189320,c_176]) ).
tcf(c_189334,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_189320,c_165]) ).
tcf(c_189335,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_189320,c_193]) ).
tcf(c_189336,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_189320,c_186]) ).
tcf(c_189337,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_189320,c_166]) ).
tcf(c_189395,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_189321,c_189320]) ).
tcf(c_189414,plain,
( segmentP(iPr_def_11,sK59)
| ~ ssList(iPr_def_10)
| ~ ssList(app(sK59,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_12918,c_187715]) ).
tcf(c_189415,plain,
( segmentP(sK59,sK59)
| ~ ssList(nil)
| ~ ssList(app(sK59,nil)) ),
inference(superposition,[status(thm)],[c_172553,c_187715]) ).
tcf(c_189417,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_187715,c_70]) ).
tcf(c_189418,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_187715,c_190]) ).
tcf(c_189419,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_187715,c_191]) ).
tcf(c_189420,plain,
( segmentP(sK59,sK59)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_189415,c_172553]) ).
tcf(c_189421,plain,
segmentP(sK59,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_189420,c_12926,c_141]) ).
tcf(c_189422,plain,
( segmentP(iPr_def_11,sK59)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_189414,c_12918]) ).
tcf(c_189423,plain,
segmentP(iPr_def_11,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_189422,c_172791,c_172620]) ).
tcf(c_189424,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_189419,c_12926]) ).
tcf(c_189429,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_189418,c_12926]) ).
tcf(c_189435,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_189417,c_12926]) ).
tcf(c_189439,plain,
( ( app(app(sK13(sK59,sK59),sK59),sK14(sK59,sK59)) = sK59 )
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_189421,c_70]) ).
tcf(c_189442,plain,
app(app(sK13(sK59,sK59),sK59),sK14(sK59,sK59)) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_189439,c_12926]) ).
tcf(c_189447,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_175395,c_54]) ).
tcf(c_189448,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_175395,c_67]) ).
tcf(c_189454,plain,
( frontsegP(cons(sK57,tl(sK60)),nil)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(cons(sK57,tl(sK60))) ),
inference(superposition,[status(thm)],[c_175395,c_378]) ).
tcf(c_189455,plain,
( rearsegP(cons(sK57,tl(sK60)),cons(sK57,tl(sK60)))
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(cons(sK57,tl(sK60))) ),
inference(superposition,[status(thm)],[c_175395,c_375]) ).
tcf(c_189457,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_175395,c_225]) ).
tcf(c_189458,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_175395,c_226]) ).
tcf(c_189459,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_175395,c_176]) ).
tcf(c_189461,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_175395,c_193]) ).
tcf(c_189464,plain,
( frontsegP(cons(sK57,tl(sK60)),nil)
| ( nil = sK60 )
| ~ ssList(cons(sK57,tl(sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189454,c_141]) ).
tcf(c_189468,plain,
( rearsegP(cons(sK57,tl(sK60)),cons(sK57,tl(sK60)))
| ( nil = sK60 )
| ~ ssList(cons(sK57,tl(sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189455,c_141]) ).
tcf(c_189472,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_189459,c_141]) ).
tcf(c_189478,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_189447,c_141,c_12925]) ).
tcf(c_189483,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_189458,c_141]) ).
tcf(c_189489,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_189457,c_141]) ).
tcf(c_189495,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_189461,c_141]) ).
tcf(c_189502,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_189448,c_141]) ).
tcf(c_189560,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_189561,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_173631,c_143]) ).
tcf(c_189562,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_173637,c_143]) ).
tcf(c_189563,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_175640,c_143]) ).
tcf(c_189564,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_175641,c_143]) ).
tcf(c_189565,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_175642,c_143]) ).
tcf(c_189566,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_175650,c_143]) ).
tcf(c_189567,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_175831,c_143]) ).
tcf(c_189568,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_175832,c_143]) ).
tcf(c_189569,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_175833,c_143]) ).
tcf(c_189571,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189560,c_141,c_12925]) ).
tcf(c_189576,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_189562,c_141]) ).
tcf(c_189582,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_189561,c_141]) ).
tcf(c_189696,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_189697,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_173631,c_144]) ).
tcf(c_189698,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_173637,c_144]) ).
tcf(c_189699,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_175640,c_144]) ).
tcf(c_189700,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_175641,c_144]) ).
tcf(c_189701,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_175642,c_144]) ).
tcf(c_189702,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_175650,c_144]) ).
tcf(c_189703,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_175831,c_144]) ).
tcf(c_189704,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_175832,c_144]) ).
tcf(c_189705,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_175833,c_144]) ).
tcf(c_189707,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189696,c_141,c_12925]) ).
tcf(c_189712,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_189698,c_141]) ).
tcf(c_189718,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_189697,c_141]) ).
tcf(c_190767,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_189423,c_70]) ).
tcf(c_190768,plain,
! [X0: $i] :
( segmentP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_189423,c_190]) ).
tcf(c_190769,plain,
( ( sK59 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ segmentP(sK59,iPr_def_11) ),
inference(superposition,[status(thm)],[c_189423,c_191]) ).
tcf(c_190770,plain,
( ( sK59 = iPr_def_11 )
| ~ segmentP(sK59,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190769,c_172791,c_12926]) ).
tcf(c_190773,plain,
! [X0: $i] :
( segmentP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190768,c_172791,c_12926]) ).
tcf(c_190777,plain,
app(app(sK13(iPr_def_11,sK59),sK59),sK14(iPr_def_11,sK59)) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_190767,c_172791,c_12926]) ).
tcf(c_190782,plain,
memberP(iPr_def_11,sK10(iPr_def_10)),
inference(global_subsumption_just,[status(thm)],[c_179778,c_16246,c_19194,c_23769,c_54902]) ).
tcf(c_190784,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_190782,c_57]) ).
tcf(c_190786,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_190784,c_172791]) ).
tcf(c_190789,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_180960,c_67]) ).
tcf(c_190792,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_180960,c_167]) ).
tcf(c_190796,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_180960,c_375]) ).
tcf(c_190798,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_180960,c_225]) ).
tcf(c_190799,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_180960,c_226]) ).
tcf(c_190800,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_180960,c_176]) ).
tcf(c_190801,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_180960,c_165]) ).
tcf(c_190802,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_180960,c_193]) ).
tcf(c_190803,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_180960,c_186]) ).
tcf(c_190804,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_180960,c_166]) ).
tcf(c_190805,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_190796,c_172791]) ).
tcf(c_190808,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_190801,c_172791]) ).
tcf(c_190814,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_190804,c_172791]) ).
tcf(c_190819,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_190803,c_172791]) ).
tcf(c_190824,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_190792,c_172791]) ).
tcf(c_190830,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_190799,c_172791]) ).
tcf(c_190835,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_190798,c_172791]) ).
tcf(c_190840,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_190802,c_172791]) ).
tcf(c_190846,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_190789,c_180960]) ).
tcf(c_190847,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_190846,c_172791]) ).
tcf(c_190870,plain,
~ segmentP(sK59,iPr_def_11),
inference(global_subsumption_just,[status(thm)],[c_190770,c_36949]) ).
tcf(c_190879,plain,
( segmentP(iPr_def_11,nil)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_194,c_190773]) ).
tcf(c_190881,plain,
segmentP(iPr_def_11,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_190879,c_12926,c_141]) ).
tcf(c_190882,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_190881,c_70]) ).
tcf(c_190883,plain,
! [X0: $i] :
( segmentP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_190881,c_190]) ).
tcf(c_190884,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ segmentP(nil,iPr_def_11) ),
inference(superposition,[status(thm)],[c_190881,c_191]) ).
tcf(c_190885,plain,
~ segmentP(nil,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_190884,c_176913,c_172791,c_141]) ).
tcf(c_190886,plain,
! [X0: $i] :
( segmentP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190883,c_172791,c_141]) ).
tcf(c_190890,plain,
app(app(sK13(iPr_def_11,nil),nil),sK14(iPr_def_11,nil)) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_190882,c_172791,c_141]) ).
tcf(c_190891,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_189442,c_67]) ).
tcf(c_190894,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_189442,c_167]) ).
tcf(c_190895,plain,
( ( app(sK13(sK59,sK59),sK59) = nil )
| ~ ssList(sK14(sK59,sK59))
| ~ ssList(app(sK13(sK59,sK59),sK59))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_189442,c_231]) ).
tcf(c_190896,plain,
( ( sK14(sK59,sK59) = nil )
| ~ ssList(sK14(sK59,sK59))
| ~ ssList(app(sK13(sK59,sK59),sK59))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_189442,c_230]) ).
tcf(c_190897,plain,
( frontsegP(sK59,app(sK13(sK59,sK59),sK59))
| ~ ssList(sK14(sK59,sK59))
| ~ ssList(app(sK13(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_189442,c_378]) ).
tcf(c_190898,plain,
( rearsegP(sK59,sK14(sK59,sK59))
| ~ ssList(sK14(sK59,sK59))
| ~ ssList(app(sK13(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_189442,c_375]) ).
tcf(c_190900,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_189442,c_225]) ).
tcf(c_190902,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_189442,c_226]) ).
tcf(c_190903,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_189442,c_176]) ).
tcf(c_190904,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_189442,c_165]) ).
tcf(c_190905,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_189442,c_193]) ).
tcf(c_190906,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_189442,c_186]) ).
tcf(c_190907,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_189442,c_166]) ).
tcf(c_190965,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_190891,c_189442]) ).
tcf(c_190994,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_190777,c_67]) ).
tcf(c_190997,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_190777,c_167]) ).
tcf(c_191000,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_190777,c_378]) ).
tcf(c_191001,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_190777,c_375]) ).
tcf(c_191003,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_190777,c_225]) ).
tcf(c_191005,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_190777,c_226]) ).
tcf(c_191006,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_190777,c_176]) ).
tcf(c_191007,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_190777,c_165]) ).
tcf(c_191008,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_190777,c_193]) ).
tcf(c_191009,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_190777,c_186]) ).
tcf(c_191010,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_190777,c_166]) ).
tcf(c_191011,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_190777,c_193]) ).
tcf(c_191061,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_190994,c_190777]) ).
tcf(c_191087,plain,
( segmentP(sK60,sK60)
| ~ ssList(nil)
| ~ ssList(app(sK60,nil)) ),
inference(superposition,[status(thm)],[c_172552,c_187720]) ).
tcf(c_191088,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_187720,c_70]) ).
tcf(c_191089,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_187720,c_190]) ).
tcf(c_191090,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_187720,c_191]) ).
tcf(c_191091,plain,
( segmentP(sK60,sK60)
| ~ ssList(sK60)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_191087,c_172552]) ).
tcf(c_191092,plain,
segmentP(sK60,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_191091,c_12927,c_141]) ).
tcf(c_191093,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_191090,c_12927]) ).
tcf(c_191098,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_191089,c_12927]) ).
tcf(c_191104,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_191088,c_12927]) ).
tcf(c_191108,plain,
( ( app(app(sK13(sK60,sK60),sK60),sK14(sK60,sK60)) = sK60 )
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_191092,c_70]) ).
tcf(c_191111,plain,
app(app(sK13(sK60,sK60),sK60),sK14(sK60,sK60)) = sK60,
inference(forward_subsumption_resolution,[status(thm)],[c_191108,c_12927]) ).
tcf(c_191112,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_191111,c_67]) ).
tcf(c_191115,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_191111,c_167]) ).
tcf(c_191116,plain,
( ( app(sK13(sK60,sK60),sK60) = nil )
| ~ ssList(sK14(sK60,sK60))
| ~ ssList(app(sK13(sK60,sK60),sK60))
| ( nil != sK60 ) ),
inference(superposition,[status(thm)],[c_191111,c_231]) ).
tcf(c_191117,plain,
( ( sK14(sK60,sK60) = nil )
| ~ ssList(sK14(sK60,sK60))
| ~ ssList(app(sK13(sK60,sK60),sK60))
| ( nil != sK60 ) ),
inference(superposition,[status(thm)],[c_191111,c_230]) ).
tcf(c_191118,plain,
( frontsegP(sK60,app(sK13(sK60,sK60),sK60))
| ~ ssList(sK14(sK60,sK60))
| ~ ssList(app(sK13(sK60,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_191111,c_378]) ).
tcf(c_191119,plain,
( rearsegP(sK60,sK14(sK60,sK60))
| ~ ssList(sK14(sK60,sK60))
| ~ ssList(app(sK13(sK60,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_191111,c_375]) ).
tcf(c_191121,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_191111,c_225]) ).
tcf(c_191123,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_191111,c_226]) ).
tcf(c_191124,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_191111,c_176]) ).
tcf(c_191125,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_191111,c_165]) ).
tcf(c_191126,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_191111,c_193]) ).
tcf(c_191127,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_191111,c_186]) ).
tcf(c_191128,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_191111,c_166]) ).
tcf(c_191186,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_191112,c_191111]) ).
tcf(c_191281,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_173946,c_223]) ).
tcf(c_191282,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_173947,c_223]) ).
tcf(c_191283,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_173948,c_223]) ).
tcf(c_191284,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_173949,c_223]) ).
tcf(c_191285,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_173950,c_223]) ).
tcf(c_191286,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_173951,c_223]) ).
tcf(c_191287,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_173952,c_223]) ).
tcf(c_191288,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_173953,c_223]) ).
tcf(c_191289,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_181150,c_223]) ).
tcf(c_191290,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_181151,c_223]) ).
tcf(c_191291,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_181152,c_223]) ).
tcf(c_191292,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_181392,c_223]) ).
tcf(c_191293,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_181393,c_223]) ).
tcf(c_191294,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_181394,c_223]) ).
tcf(c_191295,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_182260,c_223]) ).
tcf(c_191296,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_182261,c_223]) ).
tcf(c_191297,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_182262,c_223]) ).
tcf(c_191299,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_191288,c_174100]) ).
tcf(c_191300,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ( X0 = nil )
| ~ ssList(X0)
| ( tl(X0) != nil )
| ( hd(X0) != sK57 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191299,c_173666,c_172620]) ).
tcf(c_191306,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_191287,c_174099]) ).
tcf(c_191314,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_191286,c_174098]) ).
tcf(c_191322,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_191285,c_174097]) ).
tcf(c_191330,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_191284,c_174096]) ).
tcf(c_191338,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_191283,c_174095]) ).
tcf(c_191346,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_191282,c_174094]) ).
tcf(c_191354,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_191281,c_174093]) ).
tcf(c_191904,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_191905,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_174307,c_130]) ).
tcf(c_191906,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_174308,c_130]) ).
tcf(c_191907,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_174309,c_130]) ).
tcf(c_191908,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_174310,c_130]) ).
tcf(c_191909,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_174311,c_130]) ).
tcf(c_191910,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_174312,c_130]) ).
tcf(c_191911,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_174313,c_130]) ).
tcf(c_191912,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_175395,c_130]) ).
tcf(c_191913,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_183203,c_130]) ).
tcf(c_191914,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_183202,c_130]) ).
tcf(c_191915,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_183201,c_130]) ).
tcf(c_191916,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_183200,c_130]) ).
tcf(c_191917,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_191918,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_173631,c_130]) ).
tcf(c_191919,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_173637,c_130]) ).
tcf(c_191920,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_175640,c_130]) ).
tcf(c_191921,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_175641,c_130]) ).
tcf(c_191922,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_175642,c_130]) ).
tcf(c_191923,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_175650,c_130]) ).
tcf(c_191924,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_175831,c_130]) ).
tcf(c_191925,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_175832,c_130]) ).
tcf(c_191926,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_175833,c_130]) ).
tcf(c_191927,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_191928,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_173631,c_130]) ).
tcf(c_191929,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_173637,c_130]) ).
tcf(c_191930,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_175640,c_130]) ).
tcf(c_191931,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_175641,c_130]) ).
tcf(c_191932,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_175642,c_130]) ).
tcf(c_191933,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_175650,c_130]) ).
tcf(c_191934,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_175831,c_130]) ).
tcf(c_191935,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_175832,c_130]) ).
tcf(c_191936,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_175833,c_130]) ).
tcf(c_191937,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_191927,c_12917]) ).
tcf(c_191938,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_191937,c_141,c_12925]) ).
tcf(c_191943,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_191917,c_12917]) ).
tcf(c_191944,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_191943,c_141,c_12925]) ).
tcf(c_191949,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_191911,c_174313]) ).
tcf(c_191950,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_191949,c_172620,c_141,c_12925]) ).
tcf(c_191954,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_191910,c_174312]) ).
tcf(c_191955,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_191954,c_172792,c_141,c_12925]) ).
tcf(c_191959,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_191909,c_174311]) ).
tcf(c_191960,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_191959,c_172791,c_141,c_12925]) ).
tcf(c_191964,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_191908,c_174310]) ).
tcf(c_191965,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_191964,c_172129,c_141,c_12925]) ).
tcf(c_191969,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_191907,c_174309]) ).
tcf(c_191970,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_191969,c_12924,c_141,c_12925]) ).
tcf(c_191974,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_191906,c_174308]) ).
tcf(c_191975,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_191974,c_12926,c_141,c_12925]) ).
tcf(c_191979,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_191905,c_174307]) ).
tcf(c_191980,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_191979,c_12927,c_141,c_12925]) ).
tcf(c_191991,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_191929,c_173637]) ).
tcf(c_191992,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_191991,c_141]) ).
tcf(c_191998,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_191928,c_173631]) ).
tcf(c_191999,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_191998,c_141]) ).
tcf(c_192005,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_191919,c_173637]) ).
tcf(c_192006,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_192005,c_141]) ).
tcf(c_192012,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_191918,c_173631]) ).
tcf(c_192013,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_192012,c_141]) ).
tcf(c_192019,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_191933,c_175650]) ).
tcf(c_192026,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_191923,c_175650]) ).
tcf(c_192033,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_191916,c_183200]) ).
tcf(c_192034,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_192033,c_12925]) ).
tcf(c_192040,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_191915,c_183201]) ).
tcf(c_192041,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_192040,c_12925]) ).
tcf(c_192047,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_191914,c_183202]) ).
tcf(c_192048,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_192047,c_12925]) ).
tcf(c_192054,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_191913,c_183203]) ).
tcf(c_192055,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_192054,c_12925]) ).
tcf(c_192061,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_191912,c_141,c_12925]) ).
tcf(c_192330,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_192331,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_192332,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_173631,c_137]) ).
tcf(c_192333,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_173637,c_137]) ).
tcf(c_192334,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_175640,c_137]) ).
tcf(c_192335,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_175641,c_137]) ).
tcf(c_192336,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_175642,c_137]) ).
tcf(c_192337,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_175650,c_137]) ).
tcf(c_192338,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_175831,c_137]) ).
tcf(c_192339,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_175832,c_137]) ).
tcf(c_192340,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_175833,c_137]) ).
tcf(c_192341,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_192331,c_12917]) ).
tcf(c_192342,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_192341,c_141,c_12925]) ).
tcf(c_192355,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_192333,c_173637]) ).
tcf(c_192356,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_192355,c_141]) ).
tcf(c_192363,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_192332,c_173631]) ).
tcf(c_192364,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_192363,c_141]) ).
tcf(c_192371,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_192337,c_175650]) ).
tcf(c_192450,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_181985,c_223]) ).
tcf(c_192451,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_181985,c_212]) ).
tcf(c_192452,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_181985,c_206]) ).
tcf(c_192465,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_192450,c_181984]) ).
tcf(c_192473,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_181989,c_67]) ).
tcf(c_192479,plain,
( frontsegP(tl(iPr_def_13),tl(iPr_def_13))
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_181989,c_378]) ).
tcf(c_192480,plain,
( rearsegP(tl(iPr_def_13),nil)
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_181989,c_375]) ).
tcf(c_192482,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_181989,c_225]) ).
tcf(c_192483,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_181989,c_226]) ).
tcf(c_192486,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_181989,c_193]) ).
tcf(c_192487,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_181989,c_186]) ).
tcf(c_192488,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_181989,c_166]) ).
tcf(c_192492,plain,
rearsegP(tl(iPr_def_13),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_192480,c_141,c_181732]) ).
tcf(c_192493,plain,
frontsegP(tl(iPr_def_13),tl(iPr_def_13)),
inference(forward_subsumption_resolution,[status(thm)],[c_192479,c_141,c_181732]) ).
tcf(c_192495,plain,
! [X0: $i] :
( rearsegP(tl(iPr_def_13),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192487,c_141,c_181732]) ).
tcf(c_192499,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_192486,c_141,c_181732]) ).
tcf(c_192504,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(tl(iPr_def_13),X0) != tl(iPr_def_13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192483,c_141,c_181732]) ).
tcf(c_192508,plain,
! [X0: $i] :
( ( tl(iPr_def_13) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != tl(iPr_def_13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192482,c_141,c_181732]) ).
tcf(c_192512,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_192473,c_181989]) ).
tcf(c_192513,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_192512,c_141,c_181732]) ).
tcf(c_192552,plain,
( segmentP(iPr_def_13,sK60)
| ~ ssList(nil)
| ~ ssList(app(iPr_def_13,nil)) ),
inference(superposition,[status(thm)],[c_172555,c_187730]) ).
tcf(c_192554,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_187730,c_70]) ).
tcf(c_192555,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_187730,c_190]) ).
tcf(c_192556,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_187730,c_191]) ).
tcf(c_192557,plain,
( segmentP(iPr_def_13,sK60)
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_192552,c_172555]) ).
tcf(c_192558,plain,
segmentP(iPr_def_13,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_192557,c_172129,c_141]) ).
tcf(c_192559,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_192556,c_12927]) ).
tcf(c_192564,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_192555,c_12927]) ).
tcf(c_192570,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_192554,c_12927]) ).
tcf(c_192584,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_187740]) ).
tcf(c_192585,plain,
( segmentP(iPr_def_11,iPr_def_10)
| ~ ssList(nil)
| ~ ssList(app(iPr_def_11,nil)) ),
inference(superposition,[status(thm)],[c_172824,c_187740]) ).
tcf(c_192588,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_180960,c_187740]) ).
tcf(c_192589,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_187740,c_70]) ).
tcf(c_192590,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_187740,c_190]) ).
tcf(c_192591,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_187740,c_191]) ).
tcf(c_192592,plain,
( segmentP(iPr_def_11,iPr_def_10)
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_192585,c_172824]) ).
tcf(c_192593,plain,
segmentP(iPr_def_11,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_192592,c_172791,c_141]) ).
tcf(c_192594,plain,
( segmentP(iPr_def_12,iPr_def_10)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_192584,c_12919]) ).
tcf(c_192595,plain,
segmentP(iPr_def_12,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_192594,c_172792,c_172620]) ).
tcf(c_192596,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_192588,c_180960]) ).
tcf(c_192597,plain,
( segmentP(iPr_def_13,iPr_def_10)
| ~ ssList(sK11(iPr_def_13,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192596,c_172129]) ).
tcf(c_192600,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_192591,c_172620]) ).
tcf(c_192605,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_192590,c_172620]) ).
tcf(c_192611,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_192589,c_172620]) ).
tcf(c_192646,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( sK59 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_12918,c_186536]) ).
tcf(c_192649,plain,
sK59 != iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_192646,c_173666,c_172620]) ).
tcf(c_192664,plain,
( ( sK11(nil,nil) = sK56 )
| ~ ssList(sK11(nil,nil))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_177086,c_186548]) ).
tcf(c_192680,plain,
( ( sK11(iPr_def_10,nil) = sK56 )
| ~ ssList(sK11(iPr_def_10,nil))
| ( sK56 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_177095,c_186548]) ).
tcf(c_192681,plain,
( ( sK11(sK60,nil) = sK56 )
| ~ ssList(sK11(sK60,nil))
| ( sK60 != sK56 ) ),
inference(superposition,[status(thm)],[c_177094,c_186548]) ).
tcf(c_192682,plain,
( ( sK11(sK59,nil) = sK56 )
| ~ ssList(sK11(sK59,nil))
| ( sK59 != sK56 ) ),
inference(superposition,[status(thm)],[c_177093,c_186548]) ).
tcf(c_192683,plain,
( ( sK11(sK56,nil) = sK56 )
| ~ ssList(sK11(sK56,nil)) ),
inference(superposition,[status(thm)],[c_177092,c_186548]) ).
tcf(c_192684,plain,
( ( sK11(iPr_def_13,nil) = sK56 )
| ~ ssList(sK11(iPr_def_13,nil))
| ( sK56 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_177091,c_186548]) ).
tcf(c_192685,plain,
( ( sK11(iPr_def_11,nil) = sK56 )
| ~ ssList(sK11(iPr_def_11,nil))
| ( sK56 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_177090,c_186548]) ).
tcf(c_192686,plain,
( ( sK11(iPr_def_12,nil) = sK56 )
| ~ ssList(sK11(iPr_def_12,nil))
| ( sK56 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_177089,c_186548]) ).
tcf(c_192717,plain,
( ( sK11(nil,nil) = sK59 )
| ~ ssList(sK11(nil,nil))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_177086,c_186552]) ).
tcf(c_192733,plain,
( ( sK11(iPr_def_10,nil) = sK59 )
| ~ ssList(sK11(iPr_def_10,nil))
| ( sK59 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_177095,c_186552]) ).
tcf(c_192734,plain,
( ( sK11(sK60,nil) = sK59 )
| ~ ssList(sK11(sK60,nil))
| ( sK59 != sK60 ) ),
inference(superposition,[status(thm)],[c_177094,c_186552]) ).
tcf(c_192735,plain,
( ( sK11(sK59,nil) = sK59 )
| ~ ssList(sK11(sK59,nil)) ),
inference(superposition,[status(thm)],[c_177093,c_186552]) ).
tcf(c_192736,plain,
( ( sK11(sK56,nil) = sK59 )
| ~ ssList(sK11(sK56,nil))
| ( sK59 != sK56 ) ),
inference(superposition,[status(thm)],[c_177092,c_186552]) ).
tcf(c_192737,plain,
( ( sK11(iPr_def_13,nil) = sK59 )
| ~ ssList(sK11(iPr_def_13,nil))
| ( sK59 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_177091,c_186552]) ).
tcf(c_192739,plain,
( ( sK11(iPr_def_12,nil) = sK59 )
| ~ ssList(sK11(iPr_def_12,nil))
| ( sK59 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_177089,c_186552]) ).
tcf(c_192785,plain,
( ( sK11(nil,nil) = sK60 )
| ~ ssList(sK11(nil,nil))
| ( nil != sK60 ) ),
inference(superposition,[status(thm)],[c_177086,c_186556]) ).
tcf(c_192801,plain,
( ( sK11(iPr_def_10,nil) = sK60 )
| ~ ssList(sK11(iPr_def_10,nil))
| ( sK60 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_177095,c_186556]) ).
tcf(c_192802,plain,
( ( sK11(sK60,nil) = sK60 )
| ~ ssList(sK11(sK60,nil)) ),
inference(superposition,[status(thm)],[c_177094,c_186556]) ).
tcf(c_192803,plain,
( ( sK11(sK59,nil) = sK60 )
| ~ ssList(sK11(sK59,nil))
| ( sK59 != sK60 ) ),
inference(superposition,[status(thm)],[c_177093,c_186556]) ).
tcf(c_192804,plain,
( ( sK11(sK56,nil) = sK60 )
| ~ ssList(sK11(sK56,nil))
| ( sK60 != sK56 ) ),
inference(superposition,[status(thm)],[c_177092,c_186556]) ).
tcf(c_192806,plain,
( ( sK11(iPr_def_11,nil) = sK60 )
| ~ ssList(sK11(iPr_def_11,nil))
| ( sK60 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_177090,c_186556]) ).
tcf(c_192807,plain,
( ( sK11(iPr_def_12,nil) = sK60 )
| ~ ssList(sK11(iPr_def_12,nil))
| ( sK60 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_177089,c_186556]) ).
tcf(c_192859,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_175397,c_223]) ).
tcf(c_192860,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_175397,c_212]) ).
tcf(c_192861,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_175397,c_206]) ).
tcf(c_192900,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_192901,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_174307,c_114]) ).
tcf(c_192902,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_174308,c_114]) ).
tcf(c_192903,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_174309,c_114]) ).
tcf(c_192904,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_174310,c_114]) ).
tcf(c_192905,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_174311,c_114]) ).
tcf(c_192906,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_174312,c_114]) ).
tcf(c_192907,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_174313,c_114]) ).
tcf(c_192908,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_175395,c_114]) ).
tcf(c_192909,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_183203,c_114]) ).
tcf(c_192910,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_183202,c_114]) ).
tcf(c_192911,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_183201,c_114]) ).
tcf(c_192912,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_183200,c_114]) ).
tcf(c_192913,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_192914,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_173631,c_114]) ).
tcf(c_192915,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_173637,c_114]) ).
tcf(c_192916,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_175640,c_114]) ).
tcf(c_192917,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_175641,c_114]) ).
tcf(c_192918,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_175642,c_114]) ).
tcf(c_192919,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_175650,c_114]) ).
tcf(c_192920,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_175831,c_114]) ).
tcf(c_192921,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_175832,c_114]) ).
tcf(c_192922,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_175833,c_114]) ).
tcf(c_192923,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_192924,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_173631,c_114]) ).
tcf(c_192925,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_173637,c_114]) ).
tcf(c_192926,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_175640,c_114]) ).
tcf(c_192927,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_175641,c_114]) ).
tcf(c_192928,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_175642,c_114]) ).
tcf(c_192929,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_175650,c_114]) ).
tcf(c_192930,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_175831,c_114]) ).
tcf(c_192931,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_175832,c_114]) ).
tcf(c_192932,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_175833,c_114]) ).
tcf(c_192933,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_192923,c_12917]) ).
tcf(c_192934,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_192933,c_141,c_12925]) ).
tcf(c_192941,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_192913,c_12917]) ).
tcf(c_192942,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_192941,c_141,c_12925]) ).
tcf(c_192949,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_192907,c_174313]) ).
tcf(c_192950,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_192949,c_172620,c_141,c_12925]) ).
tcf(c_192956,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_192906,c_174312]) ).
tcf(c_192957,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_192956,c_172792,c_141,c_12925]) ).
tcf(c_192963,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_192905,c_174311]) ).
tcf(c_192964,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_192963,c_172791,c_141,c_12925]) ).
tcf(c_192970,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_192904,c_174310]) ).
tcf(c_192971,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_192970,c_172129,c_141,c_12925]) ).
tcf(c_192977,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_192903,c_174309]) ).
tcf(c_192978,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_192977,c_12924,c_141,c_12925]) ).
tcf(c_192984,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_192902,c_174308]) ).
tcf(c_192985,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_192984,c_12926,c_141,c_12925]) ).
tcf(c_192991,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_192901,c_174307]) ).
tcf(c_192992,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_192991,c_12927,c_141,c_12925]) ).
tcf(c_192998,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_192925,c_173637]) ).
tcf(c_192999,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_192998,c_141]) ).
tcf(c_193007,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_192924,c_173631]) ).
tcf(c_193008,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_193007,c_141]) ).
tcf(c_193016,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_192915,c_173637]) ).
tcf(c_193017,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_193016,c_141]) ).
tcf(c_193025,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_192914,c_173631]) ).
tcf(c_193026,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_193025,c_141]) ).
tcf(c_193043,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_192929,c_175650]) ).
tcf(c_193052,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_192919,c_175650]) ).
tcf(c_193061,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_192912,c_183200]) ).
tcf(c_193062,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_193061,c_12925]) ).
tcf(c_193070,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_192911,c_183201]) ).
tcf(c_193071,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_193070,c_12925]) ).
tcf(c_193079,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_192910,c_183202]) ).
tcf(c_193080,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_193079,c_12925]) ).
tcf(c_193088,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_192909,c_183203]) ).
tcf(c_193089,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_193088,c_12925]) ).
tcf(c_193097,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_192908,c_141,c_12925]) ).
tcf(c_193304,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_193305,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_174307,c_122]) ).
tcf(c_193306,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_174308,c_122]) ).
tcf(c_193307,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_174309,c_122]) ).
tcf(c_193308,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_174310,c_122]) ).
tcf(c_193309,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_174311,c_122]) ).
tcf(c_193310,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_174312,c_122]) ).
tcf(c_193311,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_174313,c_122]) ).
tcf(c_193312,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_175395,c_122]) ).
tcf(c_193313,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_183203,c_122]) ).
tcf(c_193314,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_183202,c_122]) ).
tcf(c_193315,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_183201,c_122]) ).
tcf(c_193316,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_183200,c_122]) ).
tcf(c_193317,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_193318,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_173631,c_122]) ).
tcf(c_193319,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_173637,c_122]) ).
tcf(c_193320,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_175640,c_122]) ).
tcf(c_193321,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_175641,c_122]) ).
tcf(c_193322,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_175642,c_122]) ).
tcf(c_193323,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_175650,c_122]) ).
tcf(c_193324,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_175831,c_122]) ).
tcf(c_193325,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_175832,c_122]) ).
tcf(c_193326,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_175833,c_122]) ).
tcf(c_193327,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_193328,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_173631,c_122]) ).
tcf(c_193329,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_173637,c_122]) ).
tcf(c_193330,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_175640,c_122]) ).
tcf(c_193331,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_175641,c_122]) ).
tcf(c_193332,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_175642,c_122]) ).
tcf(c_193333,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_175650,c_122]) ).
tcf(c_193334,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_175831,c_122]) ).
tcf(c_193335,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_175832,c_122]) ).
tcf(c_193336,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_175833,c_122]) ).
tcf(c_193337,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_193327,c_12917]) ).
tcf(c_193338,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_193337,c_141,c_12925]) ).
tcf(c_193345,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_193317,c_12917]) ).
tcf(c_193346,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_193345,c_141,c_12925]) ).
tcf(c_193353,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_193311,c_174313]) ).
tcf(c_193354,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_193353,c_172620,c_141,c_12925]) ).
tcf(c_193360,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_193310,c_174312]) ).
tcf(c_193361,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_193360,c_172792,c_141,c_12925]) ).
tcf(c_193367,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_193309,c_174311]) ).
tcf(c_193368,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_193367,c_172791,c_141,c_12925]) ).
tcf(c_193374,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_193308,c_174310]) ).
tcf(c_193375,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_193374,c_172129,c_141,c_12925]) ).
tcf(c_193381,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_193307,c_174309]) ).
tcf(c_193382,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_193381,c_12924,c_141,c_12925]) ).
tcf(c_193388,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_193306,c_174308]) ).
tcf(c_193389,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_193388,c_12926,c_141,c_12925]) ).
tcf(c_193395,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_193305,c_174307]) ).
tcf(c_193396,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_193395,c_12927,c_141,c_12925]) ).
tcf(c_193402,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_193329,c_173637]) ).
tcf(c_193403,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_193402,c_141]) ).
tcf(c_193411,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_193328,c_173631]) ).
tcf(c_193412,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_193411,c_141]) ).
tcf(c_193420,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_193319,c_173637]) ).
tcf(c_193421,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_193420,c_141]) ).
tcf(c_193429,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_193318,c_173631]) ).
tcf(c_193430,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_193429,c_141]) ).
tcf(c_193447,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_193333,c_175650]) ).
tcf(c_193456,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_193323,c_175650]) ).
tcf(c_193465,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_193316,c_183200]) ).
tcf(c_193466,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_193465,c_12925]) ).
tcf(c_193474,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_193315,c_183201]) ).
tcf(c_193475,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_193474,c_12925]) ).
tcf(c_193483,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_193314,c_183202]) ).
tcf(c_193484,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_193483,c_12925]) ).
tcf(c_193492,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_193313,c_183203]) ).
tcf(c_193493,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_193492,c_12925]) ).
tcf(c_193501,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_193312,c_141,c_12925]) ).
tcf(c_193767,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_192595,c_70]) ).
tcf(c_193768,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_192595,c_190]) ).
tcf(c_193769,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_192595,c_191]) ).
tcf(c_193770,plain,
( ( iPr_def_10 = iPr_def_12 )
| ~ segmentP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193769,c_172792,c_172620]) ).
tcf(c_193773,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193768,c_172792,c_172620]) ).
tcf(c_193777,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_193767,c_172792,c_172620]) ).
tcf(c_193779,plain,
( ( tl(iPr_def_13) = nil )
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_13))
| ~ rearsegP(nil,tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_192492,c_184]) ).
tcf(c_193780,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_192492,c_66]) ).
tcf(c_193781,plain,
app(sK12(tl(iPr_def_13),nil),nil) = tl(iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_193780,c_141,c_181732]) ).
tcf(c_193782,plain,
( ( tl(iPr_def_13) = nil )
| ~ rearsegP(nil,tl(iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193779,c_141,c_181732]) ).
tcf(c_193785,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_192558,c_70]) ).
tcf(c_193786,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(superposition,[status(thm)],[c_192558,c_190]) ).
tcf(c_193787,plain,
( ( sK60 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK60)
| ~ segmentP(sK60,iPr_def_13) ),
inference(superposition,[status(thm)],[c_192558,c_191]) ).
tcf(c_193788,plain,
~ segmentP(sK60,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_193787,c_187453,c_172129,c_12927]) ).
tcf(c_193789,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193786,c_172129,c_12927]) ).
tcf(c_193793,plain,
app(app(sK13(iPr_def_13,sK60),sK60),sK14(iPr_def_13,sK60)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_193785,c_172129,c_12927]) ).
tcf(c_193794,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_192593,c_70]) ).
tcf(c_193795,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_192593,c_190]) ).
tcf(c_193796,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_192593,c_191]) ).
tcf(c_193797,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ segmentP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193796,c_172791,c_172620]) ).
tcf(c_193800,plain,
! [X0: $i] :
( segmentP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193795,c_172791,c_172620]) ).
tcf(c_193804,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_193794,c_172791,c_172620]) ).
tcf(c_193807,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_192493,c_63]) ).
tcf(c_193808,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_193807,c_181732]) ).
tcf(c_193816,plain,
( segmentP(iPr_def_13,nil)
| ~ ssList(sK60)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_194,c_193789]) ).
tcf(c_193818,plain,
segmentP(iPr_def_13,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_193816,c_12927,c_141]) ).
tcf(c_193819,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_193818,c_70]) ).
tcf(c_193820,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_193818,c_190]) ).
tcf(c_193821,plain,
( ( nil = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ segmentP(nil,iPr_def_13) ),
inference(superposition,[status(thm)],[c_193818,c_191]) ).
tcf(c_193822,plain,
~ segmentP(nil,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_193821,c_176916,c_172129,c_141]) ).
tcf(c_193823,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193820,c_172129,c_141]) ).
tcf(c_193827,plain,
app(app(sK13(iPr_def_13,nil),nil),sK14(iPr_def_13,nil)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_193819,c_172129,c_141]) ).
tcf(c_193828,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_193793,c_67]) ).
tcf(c_193831,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_193793,c_167]) ).
tcf(c_193834,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_193793,c_378]) ).
tcf(c_193835,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_193793,c_375]) ).
tcf(c_193837,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_193793,c_225]) ).
tcf(c_193839,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_193793,c_226]) ).
tcf(c_193840,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_193793,c_176]) ).
tcf(c_193841,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_193793,c_165]) ).
tcf(c_193842,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_193793,c_193]) ).
tcf(c_193843,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_193793,c_186]) ).
tcf(c_193844,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_193793,c_166]) ).
tcf(c_193845,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_193793,c_193]) ).
tcf(c_193895,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_193828,c_193793]) ).
tcf(c_193988,plain,
( ( nil = sK60 )
| ~ ssList(nil)
| ( iPr_def_12 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_172826,c_186564]) ).
tcf(c_193989,plain,
( ( sK11(iPr_def_13,iPr_def_12) = sK60 )
| ~ ssList(sK11(iPr_def_13,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_177096,c_186564]) ).
tcf(c_193990,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_177079,c_186564]) ).
tcf(c_193993,plain,
( ( nil = sK60 )
| ( iPr_def_12 != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_193988,c_141]) ).
tcf(c_194007,plain,
( ( sK11(iPr_def_11,sK59) = iPr_def_10 )
| ~ ssList(sK11(iPr_def_11,sK59)) ),
inference(superposition,[status(thm)],[c_177098,c_186572]) ).
tcf(c_194022,plain,
( frontsegP(nil,sK49(sK60))
| ( nil = sK60 )
| ~ frontsegP(iPr_def_10,sK60)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60)) ),
inference(superposition,[status(thm)],[c_175640,c_188375]) ).
tcf(c_194023,plain,
( frontsegP(nil,sK49(sK59))
| ( nil = sK59 )
| ~ frontsegP(iPr_def_10,sK59)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59)) ),
inference(superposition,[status(thm)],[c_175641,c_188375]) ).
tcf(c_194024,plain,
( frontsegP(nil,sK49(sK56))
| ( nil = sK56 )
| ~ frontsegP(iPr_def_10,sK56)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56)) ),
inference(superposition,[status(thm)],[c_175642,c_188375]) ).
tcf(c_194025,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_175650,c_188375]) ).
tcf(c_194026,plain,
( frontsegP(nil,tl(sK60))
| ( nil = sK60 )
| ~ frontsegP(iPr_def_10,sK60)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60)) ),
inference(superposition,[status(thm)],[c_175831,c_188375]) ).
tcf(c_194027,plain,
( frontsegP(nil,tl(sK59))
| ( nil = sK59 )
| ~ frontsegP(iPr_def_10,sK59)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59)) ),
inference(superposition,[status(thm)],[c_175832,c_188375]) ).
tcf(c_194028,plain,
( frontsegP(nil,tl(sK56))
| ( nil = sK56 )
| ~ frontsegP(iPr_def_10,sK56)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56)) ),
inference(superposition,[status(thm)],[c_175833,c_188375]) ).
tcf(c_194029,plain,
( frontsegP(nil,sK49(iPr_def_10))
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194025,c_173558]) ).
tcf(c_194071,plain,
! [X0: $i] :
( segmentP(sK56,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_172554,c_188641]) ).
tcf(c_194072,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_188641,c_70]) ).
tcf(c_194073,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_188641,c_190]) ).
tcf(c_194074,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_188641,c_191]) ).
tcf(c_194075,plain,
! [X0: $i] :
( segmentP(sK56,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194071,c_141]) ).
tcf(c_194103,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_175398,c_67]) ).
tcf(c_194109,plain,
( frontsegP(sK49(tl(sK60)),sK49(tl(sK60)))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(nil)
| ~ ssList(sK49(tl(sK60))) ),
inference(superposition,[status(thm)],[c_175398,c_378]) ).
tcf(c_194110,plain,
( rearsegP(sK49(tl(sK60)),nil)
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(nil)
| ~ ssList(sK49(tl(sK60))) ),
inference(superposition,[status(thm)],[c_175398,c_375]) ).
tcf(c_194112,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_175398,c_225]) ).
tcf(c_194113,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_175398,c_226]) ).
tcf(c_194116,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_175398,c_193]) ).
tcf(c_194117,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_175398,c_186]) ).
tcf(c_194122,plain,
( rearsegP(sK49(tl(sK60)),nil)
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(sK49(tl(sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194110,c_141]) ).
tcf(c_194127,plain,
( frontsegP(sK49(tl(sK60)),sK49(tl(sK60)))
| ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(sK49(tl(sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194109,c_141]) ).
tcf(c_194132,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_194117,c_141]) ).
tcf(c_194139,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_194116,c_141]) ).
tcf(c_194147,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_194113,c_141]) ).
tcf(c_194154,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_194112,c_141]) ).
tcf(c_194161,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_194103,c_141]) ).
tcf(c_194168,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_181990,c_67]) ).
tcf(c_194174,plain,
( frontsegP(tl(iPr_def_13),nil)
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_181990,c_378]) ).
tcf(c_194175,plain,
( rearsegP(tl(iPr_def_13),tl(iPr_def_13))
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_181990,c_375]) ).
tcf(c_194177,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_181990,c_225]) ).
tcf(c_194181,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_181990,c_226]) ).
tcf(c_194182,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_181990,c_176]) ).
tcf(c_194184,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_181990,c_193]) ).
tcf(c_194187,plain,
frontsegP(tl(iPr_def_13),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_194174,c_141,c_181732]) ).
tcf(c_194188,plain,
rearsegP(tl(iPr_def_13),tl(iPr_def_13)),
inference(forward_subsumption_resolution,[status(thm)],[c_194175,c_141,c_181732]) ).
tcf(c_194189,plain,
! [X0: $i] :
( frontsegP(tl(iPr_def_13),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194182,c_141,c_181732]) ).
tcf(c_194193,plain,
! [X0: $i] :
( ( tl(iPr_def_13) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != tl(iPr_def_13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194181,c_141,c_181732]) ).
tcf(c_194197,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,tl(iPr_def_13)) != tl(iPr_def_13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194177,c_141,c_181732]) ).
tcf(c_194201,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_194184,c_141,c_181732]) ).
tcf(c_194206,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_194168,c_181990]) ).
tcf(c_194207,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_194206,c_141,c_181732]) ).
tcf(c_194212,plain,
( ( tl(iPr_def_13) = nil )
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_13))
| ~ frontsegP(nil,tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_194187,c_174]) ).
tcf(c_194213,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_194187,c_63]) ).
tcf(c_194214,plain,
app(nil,sK11(tl(iPr_def_13),nil)) = tl(iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_194213,c_141,c_181732]) ).
tcf(c_194215,plain,
( ( tl(iPr_def_13) = nil )
| ~ frontsegP(nil,tl(iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194212,c_141,c_181732]) ).
tcf(c_194220,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_194188,c_66]) ).
tcf(c_194221,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_194220,c_181732]) ).
tcf(c_194224,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_183322,c_223]) ).
tcf(c_194225,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_183322,c_212]) ).
tcf(c_194226,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_183322,c_206]) ).
tcf(c_194239,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_194224,c_183321]) ).
tcf(c_194247,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_183326,c_67]) ).
tcf(c_194253,plain,
( frontsegP(tl(iPr_def_11),tl(iPr_def_11))
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_183326,c_378]) ).
tcf(c_194254,plain,
( rearsegP(tl(iPr_def_11),nil)
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_183326,c_375]) ).
tcf(c_194256,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_183326,c_225]) ).
tcf(c_194257,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_183326,c_226]) ).
tcf(c_194260,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_183326,c_193]) ).
tcf(c_194261,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_183326,c_186]) ).
tcf(c_194262,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_183326,c_166]) ).
tcf(c_194266,plain,
rearsegP(tl(iPr_def_11),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_194254,c_141,c_182529]) ).
tcf(c_194267,plain,
frontsegP(tl(iPr_def_11),tl(iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_194253,c_141,c_182529]) ).
tcf(c_194269,plain,
! [X0: $i] :
( rearsegP(tl(iPr_def_11),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194261,c_141,c_182529]) ).
tcf(c_194273,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_194260,c_141,c_182529]) ).
tcf(c_194278,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(tl(iPr_def_11),X0) != tl(iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194257,c_141,c_182529]) ).
tcf(c_194282,plain,
! [X0: $i] :
( ( tl(iPr_def_11) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != tl(iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194256,c_141,c_182529]) ).
tcf(c_194286,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_194247,c_183326]) ).
tcf(c_194287,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_194286,c_141,c_182529]) ).
tcf(c_194292,plain,
( ( tl(iPr_def_11) = nil )
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_11))
| ~ rearsegP(nil,tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_194266,c_184]) ).
tcf(c_194293,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_194266,c_66]) ).
tcf(c_194294,plain,
app(sK12(tl(iPr_def_11),nil),nil) = tl(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_194293,c_141,c_182529]) ).
tcf(c_194295,plain,
( ( tl(iPr_def_11) = nil )
| ~ rearsegP(nil,tl(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194292,c_141,c_182529]) ).
tcf(c_194306,plain,
! [X0: $i] :
( segmentP(iPr_def_11,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_12918,c_188646]) ).
tcf(c_194307,plain,
! [X0: $i] :
( segmentP(sK59,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_172553,c_188646]) ).
tcf(c_194309,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_188646,c_70]) ).
tcf(c_194310,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_188646,c_190]) ).
tcf(c_194311,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_188646,c_191]) ).
tcf(c_194312,plain,
! [X0: $i] :
( segmentP(sK59,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194307,c_141]) ).
tcf(c_194361,plain,
! [X0: $i] :
( segmentP(sK60,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_172552,c_188651]) ).
tcf(c_194362,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_188651,c_70]) ).
tcf(c_194363,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_188651,c_190]) ).
tcf(c_194364,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_188651,c_191]) ).
tcf(c_194365,plain,
! [X0: $i] :
( segmentP(sK60,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194361,c_141]) ).
tcf(c_194396,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_188661,c_70]) ).
tcf(c_194397,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_188661,c_190]) ).
tcf(c_194398,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_188661,c_191]) ).
tcf(c_194452,plain,
! [X0: $i] :
( segmentP(iPr_def_11,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_12918,c_188666]) ).
tcf(c_194455,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_188666,c_70]) ).
tcf(c_194456,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_188666,c_190]) ).
tcf(c_194457,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_188666,c_191]) ).
tcf(c_194486,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_188671,c_70]) ).
tcf(c_194487,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_188671,c_190]) ).
tcf(c_194488,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_188671,c_191]) ).
tcf(c_194515,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(superposition,[status(thm)],[c_172555,c_188681]) ).
tcf(c_194517,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_188681,c_70]) ).
tcf(c_194518,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_188681,c_190]) ).
tcf(c_194519,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_188681,c_191]) ).
tcf(c_194547,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_188691]) ).
tcf(c_194548,plain,
! [X0: $i] :
( segmentP(iPr_def_11,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_172824,c_188691]) ).
tcf(c_194551,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_180960,c_188691]) ).
tcf(c_194552,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_188691,c_70]) ).
tcf(c_194553,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_188691,c_190]) ).
tcf(c_194554,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_188691,c_191]) ).
tcf(c_194589,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_173631,c_189123]) ).
tcf(c_194590,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_173637,c_189123]) ).
tcf(c_194591,plain,
( ( nil = sK60 )
| ( sK50(sK60) = sK57 )
| ~ frontsegP(sK60,iPr_def_10)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60)) ),
inference(superposition,[status(thm)],[c_175640,c_189123]) ).
tcf(c_194592,plain,
( ( nil = sK59 )
| ( sK50(sK59) = sK57 )
| ~ frontsegP(sK59,iPr_def_10)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59)) ),
inference(superposition,[status(thm)],[c_175641,c_189123]) ).
tcf(c_194593,plain,
( ( nil = sK56 )
| ( sK50(sK56) = sK57 )
| ~ frontsegP(sK56,iPr_def_10)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56)) ),
inference(superposition,[status(thm)],[c_175642,c_189123]) ).
tcf(c_194594,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_175650,c_189123]) ).
tcf(c_194595,plain,
( ( nil = sK60 )
| ( hd(sK60) = sK57 )
| ~ frontsegP(sK60,iPr_def_10)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60)) ),
inference(superposition,[status(thm)],[c_175831,c_189123]) ).
tcf(c_194596,plain,
( ( nil = sK59 )
| ( hd(sK59) = sK57 )
| ~ frontsegP(sK59,iPr_def_10)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59)) ),
inference(superposition,[status(thm)],[c_175832,c_189123]) ).
tcf(c_194597,plain,
( ( nil = sK56 )
| ( hd(sK56) = sK57 )
| ~ frontsegP(sK56,iPr_def_10)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56)) ),
inference(superposition,[status(thm)],[c_175833,c_189123]) ).
tcf(c_194599,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_194589,c_141]) ).
tcf(c_194603,plain,
( ( sK50(iPr_def_10) = sK57 )
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194594,c_173558]) ).
tcf(c_194669,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_175400,c_67]) ).
tcf(c_194675,plain,
( frontsegP(cons(sK57,tl(sK60)),cons(sK57,tl(sK60)))
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(cons(sK57,tl(sK60))) ),
inference(superposition,[status(thm)],[c_175400,c_378]) ).
tcf(c_194676,plain,
( rearsegP(cons(sK57,tl(sK60)),nil)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(cons(sK57,tl(sK60))) ),
inference(superposition,[status(thm)],[c_175400,c_375]) ).
tcf(c_194678,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_175400,c_225]) ).
tcf(c_194679,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_175400,c_226]) ).
tcf(c_194682,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_175400,c_193]) ).
tcf(c_194683,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_175400,c_186]) ).
tcf(c_194688,plain,
( rearsegP(cons(sK57,tl(sK60)),nil)
| ( nil = sK60 )
| ~ ssList(cons(sK57,tl(sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194676,c_141]) ).
tcf(c_194692,plain,
( frontsegP(cons(sK57,tl(sK60)),cons(sK57,tl(sK60)))
| ( nil = sK60 )
| ~ ssList(cons(sK57,tl(sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194675,c_141]) ).
tcf(c_194696,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_194683,c_141]) ).
tcf(c_194702,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_194682,c_141]) ).
tcf(c_194709,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_194679,c_141]) ).
tcf(c_194715,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_194678,c_141]) ).
tcf(c_194721,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_194669,c_141]) ).
tcf(c_194809,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_194267,c_63]) ).
tcf(c_194810,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_194809,c_182529]) ).
tcf(c_194873,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_183327,c_67]) ).
tcf(c_194879,plain,
( frontsegP(tl(iPr_def_11),nil)
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_183327,c_378]) ).
tcf(c_194880,plain,
( rearsegP(tl(iPr_def_11),tl(iPr_def_11))
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_183327,c_375]) ).
tcf(c_194882,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_183327,c_225]) ).
tcf(c_194886,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_183327,c_226]) ).
tcf(c_194887,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_183327,c_176]) ).
tcf(c_194889,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_183327,c_193]) ).
tcf(c_194892,plain,
frontsegP(tl(iPr_def_11),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_194879,c_141,c_182529]) ).
tcf(c_194893,plain,
rearsegP(tl(iPr_def_11),tl(iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_194880,c_141,c_182529]) ).
tcf(c_194894,plain,
! [X0: $i] :
( frontsegP(tl(iPr_def_11),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194887,c_141,c_182529]) ).
tcf(c_194898,plain,
! [X0: $i] :
( ( tl(iPr_def_11) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != tl(iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194886,c_141,c_182529]) ).
tcf(c_194902,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,tl(iPr_def_11)) != tl(iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194882,c_141,c_182529]) ).
tcf(c_194906,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_194889,c_141,c_182529]) ).
tcf(c_194911,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_194873,c_183327]) ).
tcf(c_194912,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_194911,c_141,c_182529]) ).
tcf(c_194929,plain,
( ( tl(iPr_def_11) = nil )
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_11))
| ~ frontsegP(nil,tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_194892,c_174]) ).
tcf(c_194930,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_194892,c_63]) ).
tcf(c_194931,plain,
app(nil,sK11(tl(iPr_def_11),nil)) = tl(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_194930,c_141,c_182529]) ).
tcf(c_194932,plain,
( ( tl(iPr_def_11) = nil )
| ~ frontsegP(nil,tl(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194929,c_141,c_182529]) ).
tcf(c_194937,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_194893,c_66]) ).
tcf(c_194938,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_194937,c_182529]) ).
tcf(c_194941,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_185024,c_223]) ).
tcf(c_194942,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_185024,c_212]) ).
tcf(c_194943,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_185024,c_206]) ).
tcf(c_194956,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_194941,c_185023]) ).
tcf(c_194964,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_185028,c_67]) ).
tcf(c_194970,plain,
( frontsegP(tl(iPr_def_12),tl(iPr_def_12))
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_185028,c_378]) ).
tcf(c_194971,plain,
( rearsegP(tl(iPr_def_12),nil)
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_185028,c_375]) ).
tcf(c_194973,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_185028,c_225]) ).
tcf(c_194974,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_185028,c_226]) ).
tcf(c_194977,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_185028,c_193]) ).
tcf(c_194978,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_185028,c_186]) ).
tcf(c_194979,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_185028,c_166]) ).
tcf(c_194983,plain,
rearsegP(tl(iPr_def_12),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_194971,c_141,c_183724]) ).
tcf(c_194984,plain,
frontsegP(tl(iPr_def_12),tl(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_194970,c_141,c_183724]) ).
tcf(c_194986,plain,
! [X0: $i] :
( rearsegP(tl(iPr_def_12),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194978,c_141,c_183724]) ).
tcf(c_194990,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_194977,c_141,c_183724]) ).
tcf(c_194995,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(tl(iPr_def_12),X0) != tl(iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194974,c_141,c_183724]) ).
tcf(c_194999,plain,
! [X0: $i] :
( ( tl(iPr_def_12) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != tl(iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194973,c_141,c_183724]) ).
tcf(c_195003,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_194964,c_185028]) ).
tcf(c_195004,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_195003,c_141,c_183724]) ).
tcf(c_195009,plain,
( ( tl(iPr_def_12) = nil )
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_12))
| ~ rearsegP(nil,tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_194983,c_184]) ).
tcf(c_195010,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_194983,c_66]) ).
tcf(c_195011,plain,
app(sK12(tl(iPr_def_12),nil),nil) = tl(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_195010,c_141,c_183724]) ).
tcf(c_195012,plain,
( ( tl(iPr_def_12) = nil )
| ~ rearsegP(nil,tl(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195009,c_141,c_183724]) ).
tcf(c_195017,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_194984,c_63]) ).
tcf(c_195018,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_195017,c_183724]) ).
tcf(c_195051,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_173631,c_189128]) ).
tcf(c_195053,plain,
( ( nil = sK60 )
| ( sK50(sK60) = sK57 )
| ~ frontsegP(iPr_def_10,sK60)
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60)) ),
inference(superposition,[status(thm)],[c_175640,c_189128]) ).
tcf(c_195054,plain,
( ( nil = sK59 )
| ( sK50(sK59) = sK57 )
| ~ frontsegP(iPr_def_10,sK59)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59)) ),
inference(superposition,[status(thm)],[c_175641,c_189128]) ).
tcf(c_195055,plain,
( ( nil = sK56 )
| ( sK50(sK56) = sK57 )
| ~ frontsegP(iPr_def_10,sK56)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56)) ),
inference(superposition,[status(thm)],[c_175642,c_189128]) ).
tcf(c_195057,plain,
( ( nil = sK60 )
| ( hd(sK60) = sK57 )
| ~ frontsegP(iPr_def_10,sK60)
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60)) ),
inference(superposition,[status(thm)],[c_175831,c_189128]) ).
tcf(c_195058,plain,
( ( nil = sK59 )
| ( hd(sK59) = sK57 )
| ~ frontsegP(iPr_def_10,sK59)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59)) ),
inference(superposition,[status(thm)],[c_175832,c_189128]) ).
tcf(c_195059,plain,
( ( nil = sK56 )
| ( hd(sK56) = sK57 )
| ~ frontsegP(iPr_def_10,sK56)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56)) ),
inference(superposition,[status(thm)],[c_175833,c_189128]) ).
tcf(c_195060,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_195051,c_141]) ).
tcf(c_195112,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(light_normalisation,[status(thm)],[c_177629,c_183711]) ).
tcf(c_195113,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195112,c_141]) ).
tcf(c_195114,plain,
! [X0: $i] :
( memberP(sK60,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(light_normalisation,[status(thm)],[c_177634,c_183716]) ).
tcf(c_195115,plain,
! [X0: $i] :
( memberP(sK60,X0)
| ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195114,c_141]) ).
tcf(c_195140,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_175401,c_67]) ).
tcf(c_195146,plain,
( frontsegP(tl(sK60),tl(sK60))
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(tl(sK60)) ),
inference(superposition,[status(thm)],[c_175401,c_378]) ).
tcf(c_195147,plain,
( rearsegP(tl(sK60),nil)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(tl(sK60)) ),
inference(superposition,[status(thm)],[c_175401,c_375]) ).
tcf(c_195149,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_175401,c_225]) ).
tcf(c_195150,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_175401,c_226]) ).
tcf(c_195153,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_175401,c_193]) ).
tcf(c_195154,plain,
! [X0: $i] :
( rearsegP(tl(sK60),X0)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_175401,c_186]) ).
tcf(c_195155,plain,
! [X0: $i] :
( memberP(tl(sK60),X0)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(tl(sK60))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_175401,c_166]) ).
tcf(c_195159,plain,
( rearsegP(tl(sK60),nil)
| ( nil = sK60 )
| ~ ssList(tl(sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195147,c_141]) ).
tcf(c_195163,plain,
( frontsegP(tl(sK60),tl(sK60))
| ( nil = sK60 )
| ~ ssList(tl(sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195146,c_141]) ).
tcf(c_195167,plain,
! [X0: $i] :
( memberP(tl(sK60),X0)
| ( nil = sK60 )
| ~ ssItem(X0)
| ~ ssList(tl(sK60))
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195155,c_141]) ).
tcf(c_195173,plain,
! [X0: $i] :
( rearsegP(tl(sK60),X0)
| ( nil = sK60 )
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195154,c_141]) ).
tcf(c_195179,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_195153,c_141]) ).
tcf(c_195186,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_195150,c_141]) ).
tcf(c_195192,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_195149,c_141]) ).
tcf(c_195198,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_195140,c_141]) ).
tcf(c_195204,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_185029,c_67]) ).
tcf(c_195210,plain,
( frontsegP(tl(iPr_def_12),nil)
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_185029,c_378]) ).
tcf(c_195211,plain,
( rearsegP(tl(iPr_def_12),tl(iPr_def_12))
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_185029,c_375]) ).
tcf(c_195213,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_185029,c_225]) ).
tcf(c_195217,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_185029,c_226]) ).
tcf(c_195218,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_185029,c_176]) ).
tcf(c_195220,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_185029,c_193]) ).
tcf(c_195223,plain,
frontsegP(tl(iPr_def_12),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_195210,c_141,c_183724]) ).
tcf(c_195224,plain,
rearsegP(tl(iPr_def_12),tl(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_195211,c_141,c_183724]) ).
tcf(c_195225,plain,
! [X0: $i] :
( frontsegP(tl(iPr_def_12),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195218,c_141,c_183724]) ).
tcf(c_195229,plain,
! [X0: $i] :
( ( tl(iPr_def_12) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != tl(iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195217,c_141,c_183724]) ).
tcf(c_195233,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,tl(iPr_def_12)) != tl(iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195213,c_141,c_183724]) ).
tcf(c_195237,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_195220,c_141,c_183724]) ).
tcf(c_195242,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_195204,c_185029]) ).
tcf(c_195243,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_195242,c_141,c_183724]) ).
tcf(c_195277,plain,
( ( tl(iPr_def_12) = nil )
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(nil,tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_195223,c_174]) ).
tcf(c_195278,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_195223,c_63]) ).
tcf(c_195279,plain,
app(nil,sK11(tl(iPr_def_12),nil)) = tl(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_195278,c_141,c_183724]) ).
tcf(c_195280,plain,
( ( tl(iPr_def_12) = nil )
| ~ frontsegP(nil,tl(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195277,c_141,c_183724]) ).
tcf(c_195285,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_195224,c_66]) ).
tcf(c_195286,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_195285,c_183724]) ).
tcf(c_195302,plain,
segmentP(iPr_def_13,iPr_def_10),
inference(global_subsumption_just,[status(thm)],[c_192597,c_40329]) ).
tcf(c_195304,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_195302,c_70]) ).
tcf(c_195305,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_195302,c_190]) ).
tcf(c_195306,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_195302,c_191]) ).
tcf(c_195307,plain,
( ( iPr_def_10 = iPr_def_13 )
| ~ segmentP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195306,c_172129,c_172620]) ).
tcf(c_195310,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195305,c_172129,c_172620]) ).
tcf(c_195314,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_195304,c_172129,c_172620]) ).
tcf(c_195371,plain,
app(sK12(sK56,sK11(sK56,sK56)),sK11(sK56,sK56)) = sK56,
inference(global_subsumption_just,[status(thm)],[c_177939,c_40008]) ).
tcf(c_195374,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(light_normalisation,[status(thm)],[c_178159,c_185247]) ).
tcf(c_195376,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(light_normalisation,[status(thm)],[c_178164,c_185252]) ).
tcf(c_195378,plain,
! [X0: $i] :
( frontsegP(sK60,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(light_normalisation,[status(thm)],[c_178169,c_185257]) ).
tcf(c_195390,plain,
( ( nil = sK56 )
| ~ ssList(nil)
| ~ rearsegP(nil,sK56) ),
inference(light_normalisation,[status(thm)],[c_178364,c_182521]) ).
tcf(c_195392,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(light_normalisation,[status(thm)],[c_178611,c_182521]) ).
tcf(c_195394,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(light_normalisation,[status(thm)],[c_178616,c_183711]) ).
tcf(c_195400,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_175402,c_67]) ).
tcf(c_195406,plain,
( frontsegP(tl(sK60),nil)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(tl(sK60)) ),
inference(superposition,[status(thm)],[c_175402,c_378]) ).
tcf(c_195407,plain,
( rearsegP(tl(sK60),tl(sK60))
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(tl(sK60)) ),
inference(superposition,[status(thm)],[c_175402,c_375]) ).
tcf(c_195409,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_175402,c_225]) ).
tcf(c_195413,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_175402,c_226]) ).
tcf(c_195414,plain,
! [X0: $i] :
( frontsegP(tl(sK60),X0)
| ( nil = sK60 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_175402,c_176]) ).
tcf(c_195416,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_175402,c_193]) ).
tcf(c_195419,plain,
( frontsegP(tl(sK60),nil)
| ( nil = sK60 )
| ~ ssList(tl(sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195406,c_141]) ).
tcf(c_195423,plain,
( rearsegP(tl(sK60),tl(sK60))
| ( nil = sK60 )
| ~ ssList(tl(sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195407,c_141]) ).
tcf(c_195427,plain,
! [X0: $i] :
( frontsegP(tl(sK60),X0)
| ( nil = sK60 )
| ~ ssList(X0)
| ~ ssList(tl(sK60))
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_195414,c_141]) ).
tcf(c_195433,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_195413,c_141]) ).
tcf(c_195439,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_195409,c_141]) ).
tcf(c_195445,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_195416,c_141]) ).
tcf(c_195452,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_195400,c_141]) ).
tcf(c_195461,plain,
sK10(iPr_def_10) = sK57,
inference(global_subsumption_just,[status(thm)],[c_185244,c_40827]) ).
tcf(c_195465,plain,
cons(sK57,nil) = iPr_def_10,
inference(demodulation,[status(thm)],[c_173637,c_195461]) ).
tcf(c_195467,plain,
! [X0: $i] :
( rearsegP(sK60,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(light_normalisation,[status(thm)],[c_178621,c_183716]) ).
tcf(c_195479,plain,
app(sK12(sK59,sK11(sK59,sK59)),sK11(sK59,sK59)) = sK59,
inference(global_subsumption_just,[status(thm)],[c_179157,c_40380]) ).
tcf(c_195482,plain,
( ( nil = sK59 )
| ~ ssList(nil)
| ~ rearsegP(nil,sK59) ),
inference(light_normalisation,[status(thm)],[c_179160,c_183711]) ).
tcf(c_195484,plain,
app(sK12(sK60,sK11(sK60,sK60)),sK11(sK60,sK60)) = sK60,
inference(global_subsumption_just,[status(thm)],[c_179170,c_40445]) ).
tcf(c_195487,plain,
( ( nil = sK60 )
| ~ ssList(nil)
| ~ rearsegP(nil,sK60) ),
inference(light_normalisation,[status(thm)],[c_179173,c_183716]) ).
tcf(c_195489,plain,
app(sK12(sK56,sK56),sK11(sK56,sK12(sK56,sK56))) = sK56,
inference(global_subsumption_just,[status(thm)],[c_179221,c_40605]) ).
tcf(c_195492,plain,
( ( nil = sK56 )
| ~ ssList(nil)
| ~ frontsegP(nil,sK56) ),
inference(light_normalisation,[status(thm)],[c_179224,c_185247]) ).
tcf(c_195500,plain,
( ssList(tl(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(tl(sK59)) ),
inference(superposition,[status(thm)],[c_175439,c_221]) ).
tcf(c_195505,plain,
iPr_def_11 != iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_187482,c_31573,c_36948]) ).
tcf(c_195611,plain,
app(sK12(sK59,sK59),sK11(sK59,sK12(sK59,sK59))) = sK59,
inference(global_subsumption_just,[status(thm)],[c_179787,c_40701]) ).
tcf(c_195614,plain,
( ( nil = sK59 )
| ~ ssList(nil)
| ~ frontsegP(nil,sK59) ),
inference(light_normalisation,[status(thm)],[c_179790,c_185252]) ).
tcf(c_195616,plain,
app(sK12(sK60,sK60),sK11(sK60,sK12(sK60,sK60))) = sK60,
inference(global_subsumption_just,[status(thm)],[c_179800,c_40779]) ).
tcf(c_195619,plain,
( ( nil = sK60 )
| ~ ssList(nil)
| ~ frontsegP(nil,sK60) ),
inference(light_normalisation,[status(thm)],[c_179803,c_185257]) ).
tcf(c_195627,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_180593]) ).
tcf(c_195628,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_180593]) ).
tcf(c_195629,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_180593]) ).
tcf(c_195630,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_180593]) ).
tcf(c_195631,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_180593]) ).
tcf(c_195632,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_180593]) ).
tcf(c_195633,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_180593]) ).
tcf(c_195643,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_180593]) ).
tcf(c_195644,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_180593]) ).
tcf(c_195645,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_180593]) ).
tcf(c_195646,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_180593]) ).
tcf(c_195647,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_180593]) ).
tcf(c_195648,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_180593]) ).
tcf(c_195649,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_180593]) ).
tcf(c_195650,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_180593]) ).
tcf(c_195651,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_180593]) ).
tcf(c_195652,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_180593]) ).
tcf(c_195653,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_180593]) ).
tcf(c_195654,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_180593]) ).
tcf(c_195655,plain,
( ( nil = sK60 )
| ( app(tl(sK60),nil) = tl(app(sK60,nil)) ) ),
inference(superposition,[status(thm)],[c_141,c_180593]) ).
tcf(c_195656,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_180593]) ).
tcf(c_195657,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_180593]) ).
tcf(c_195658,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_180593]) ).
tcf(c_195659,plain,
( ( nil = sK60 )
| ( app(tl(sK60),sK60) = tl(app(sK60,sK60)) ) ),
inference(superposition,[status(thm)],[c_12927,c_180593]) ).
tcf(c_195660,plain,
( ( nil = sK60 )
| ( app(tl(sK60),sK59) = tl(app(sK60,sK59)) ) ),
inference(superposition,[status(thm)],[c_12926,c_180593]) ).
tcf(c_195661,plain,
( ( nil = sK60 )
| ( app(tl(sK60),sK56) = tl(app(sK60,sK56)) ) ),
inference(superposition,[status(thm)],[c_12924,c_180593]) ).
tcf(c_195662,plain,
( ( nil = sK60 )
| ( app(tl(sK60),iPr_def_13) = tl(app(sK60,iPr_def_13)) ) ),
inference(superposition,[status(thm)],[c_172129,c_180593]) ).
tcf(c_195663,plain,
( ( nil = sK60 )
| ( app(tl(sK60),iPr_def_11) = tl(app(sK60,iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_172791,c_180593]) ).
tcf(c_195664,plain,
( ( nil = sK60 )
| ( app(tl(sK60),iPr_def_12) = tl(app(sK60,iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_172792,c_180593]) ).
tcf(c_195665,plain,
( ( nil = sK60 )
| ( app(tl(sK60),iPr_def_10) = tl(app(sK60,iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_172620,c_180593]) ).
tcf(c_195666,plain,
( ( nil = sK60 )
| ( app(tl(sK60),tl(sK60)) = tl(app(sK60,tl(sK60))) ) ),
inference(superposition,[status(thm)],[c_175037,c_180593]) ).
tcf(c_195667,plain,
( ( nil = sK60 )
| ( nil = sK59 )
| ( app(tl(sK60),tl(sK59)) = tl(app(sK60,tl(sK59))) ) ),
inference(superposition,[status(thm)],[c_175432,c_180593]) ).
tcf(c_195668,plain,
( ( nil = sK56 )
| ( nil = sK60 )
| ( app(tl(sK60),tl(sK56)) = tl(app(sK60,tl(sK56))) ) ),
inference(superposition,[status(thm)],[c_175478,c_180593]) ).
tcf(c_195669,plain,
( ( nil = sK60 )
| ( app(tl(sK60),tl(iPr_def_13)) = tl(app(sK60,tl(iPr_def_13))) ) ),
inference(superposition,[status(thm)],[c_181732,c_180593]) ).
tcf(c_195670,plain,
( ( nil = sK60 )
| ( app(tl(sK60),tl(iPr_def_11)) = tl(app(sK60,tl(iPr_def_11))) ) ),
inference(superposition,[status(thm)],[c_182529,c_180593]) ).
tcf(c_195671,plain,
( ( nil = sK60 )
| ( app(tl(sK60),tl(iPr_def_12)) = tl(app(sK60,tl(iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_183724,c_180593]) ).
tcf(c_195922,plain,
( ssList(app(tl(sK60),sK60))
| ( nil = sK60 )
| ( app(sK60,sK60) = nil )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_195659,c_151]) ).
tcf(c_195931,plain,
( ssList(app(tl(sK60),sK59))
| ( nil = sK60 )
| ( app(sK60,sK59) = nil )
| ~ ssList(app(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_195660,c_151]) ).
tcf(c_195940,plain,
( ssList(app(tl(sK60),sK56))
| ( nil = sK60 )
| ( app(sK60,sK56) = nil )
| ~ ssList(app(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_195661,c_151]) ).
tcf(c_195951,plain,
( ssItem(hd(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(tl(sK59)) ),
inference(superposition,[status(thm)],[c_175440,c_219]) ).
tcf(c_196088,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_180594]) ).
tcf(c_196089,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_180594]) ).
tcf(c_196090,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_180594]) ).
tcf(c_196091,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_180594]) ).
tcf(c_196092,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_180594]) ).
tcf(c_196093,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_180594]) ).
tcf(c_196094,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_180594]) ).
tcf(c_196104,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_180594]) ).
tcf(c_196105,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_180594]) ).
tcf(c_196106,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_180594]) ).
tcf(c_196107,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_180594]) ).
tcf(c_196108,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_180594]) ).
tcf(c_196109,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_180594]) ).
tcf(c_196110,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_180594]) ).
tcf(c_196111,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_180594]) ).
tcf(c_196112,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_180594]) ).
tcf(c_196113,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_180594]) ).
tcf(c_196114,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_180594]) ).
tcf(c_196115,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_180594]) ).
tcf(c_196116,plain,
( ( nil = sK59 )
| ( app(tl(sK59),nil) = tl(app(sK59,nil)) ) ),
inference(superposition,[status(thm)],[c_141,c_180594]) ).
tcf(c_196117,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_180594]) ).
tcf(c_196118,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_180594]) ).
tcf(c_196119,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_180594]) ).
tcf(c_196120,plain,
( ( nil = sK59 )
| ( app(tl(sK59),sK60) = tl(app(sK59,sK60)) ) ),
inference(superposition,[status(thm)],[c_12927,c_180594]) ).
tcf(c_196121,plain,
( ( nil = sK59 )
| ( app(tl(sK59),sK59) = tl(app(sK59,sK59)) ) ),
inference(superposition,[status(thm)],[c_12926,c_180594]) ).
tcf(c_196122,plain,
( ( nil = sK59 )
| ( app(tl(sK59),sK56) = tl(app(sK59,sK56)) ) ),
inference(superposition,[status(thm)],[c_12924,c_180594]) ).
tcf(c_196123,plain,
( ( nil = sK59 )
| ( app(tl(sK59),iPr_def_13) = tl(app(sK59,iPr_def_13)) ) ),
inference(superposition,[status(thm)],[c_172129,c_180594]) ).
tcf(c_196124,plain,
( ( nil = sK59 )
| ( app(tl(sK59),iPr_def_11) = tl(app(sK59,iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_172791,c_180594]) ).
tcf(c_196125,plain,
( ( nil = sK59 )
| ( app(tl(sK59),iPr_def_12) = tl(app(sK59,iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_172792,c_180594]) ).
tcf(c_196126,plain,
( ( nil = sK59 )
| ( app(tl(sK59),iPr_def_10) = tl(app(sK59,iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_172620,c_180594]) ).
tcf(c_196127,plain,
( ( nil = sK60 )
| ( nil = sK59 )
| ( app(tl(sK59),tl(sK60)) = tl(app(sK59,tl(sK60))) ) ),
inference(superposition,[status(thm)],[c_175037,c_180594]) ).
tcf(c_196128,plain,
( ( nil = sK59 )
| ( app(tl(sK59),tl(sK59)) = tl(app(sK59,tl(sK59))) ) ),
inference(superposition,[status(thm)],[c_175432,c_180594]) ).
tcf(c_196129,plain,
( ( nil = sK56 )
| ( nil = sK59 )
| ( app(tl(sK59),tl(sK56)) = tl(app(sK59,tl(sK56))) ) ),
inference(superposition,[status(thm)],[c_175478,c_180594]) ).
tcf(c_196130,plain,
( ( nil = sK59 )
| ( app(tl(sK59),tl(iPr_def_13)) = tl(app(sK59,tl(iPr_def_13))) ) ),
inference(superposition,[status(thm)],[c_181732,c_180594]) ).
tcf(c_196131,plain,
( ( nil = sK59 )
| ( app(tl(sK59),tl(iPr_def_11)) = tl(app(sK59,tl(iPr_def_11))) ) ),
inference(superposition,[status(thm)],[c_182529,c_180594]) ).
tcf(c_196132,plain,
( ( nil = sK59 )
| ( app(tl(sK59),tl(iPr_def_12)) = tl(app(sK59,tl(iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_183724,c_180594]) ).
tcf(c_196133,plain,
( ( nil = sK59 )
| ( app(tl(sK59),iPr_def_10) = tl(iPr_def_11) ) ),
inference(light_normalisation,[status(thm)],[c_196126,c_12918]) ).
tcf(c_196432,plain,
( ssList(app(tl(sK59),sK60))
| ( nil = sK59 )
| ( app(sK59,sK60) = nil )
| ~ ssList(app(sK59,sK60)) ),
inference(superposition,[status(thm)],[c_196120,c_151]) ).
tcf(c_196441,plain,
( ssList(app(tl(sK59),sK59))
| ( nil = sK59 )
| ( app(sK59,sK59) = nil )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_196121,c_151]) ).
tcf(c_196450,plain,
( ssList(app(tl(sK59),sK56))
| ( nil = sK59 )
| ( app(sK59,sK56) = nil )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_196122,c_151]) ).
tcf(c_196461,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_180595]) ).
tcf(c_196462,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_180595]) ).
tcf(c_196463,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_180595]) ).
tcf(c_196464,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_180595]) ).
tcf(c_196465,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_180595]) ).
tcf(c_196466,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_180595]) ).
tcf(c_196467,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_180595]) ).
tcf(c_196477,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_180595]) ).
tcf(c_196478,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_180595]) ).
tcf(c_196479,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_180595]) ).
tcf(c_196480,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_180595]) ).
tcf(c_196481,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_180595]) ).
tcf(c_196482,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_180595]) ).
tcf(c_196483,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_180595]) ).
tcf(c_196484,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_180595]) ).
tcf(c_196485,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_180595]) ).
tcf(c_196486,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_180595]) ).
tcf(c_196487,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_180595]) ).
tcf(c_196488,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_180595]) ).
tcf(c_196489,plain,
( ( nil = sK56 )
| ( app(tl(sK56),nil) = tl(app(sK56,nil)) ) ),
inference(superposition,[status(thm)],[c_141,c_180595]) ).
tcf(c_196490,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_180595]) ).
tcf(c_196491,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_180595]) ).
tcf(c_196492,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_180595]) ).
tcf(c_196493,plain,
( ( nil = sK56 )
| ( app(tl(sK56),sK60) = tl(app(sK56,sK60)) ) ),
inference(superposition,[status(thm)],[c_12927,c_180595]) ).
tcf(c_196494,plain,
( ( nil = sK56 )
| ( app(tl(sK56),sK59) = tl(app(sK56,sK59)) ) ),
inference(superposition,[status(thm)],[c_12926,c_180595]) ).
tcf(c_196495,plain,
( ( nil = sK56 )
| ( app(tl(sK56),sK56) = tl(app(sK56,sK56)) ) ),
inference(superposition,[status(thm)],[c_12924,c_180595]) ).
tcf(c_196496,plain,
( ( nil = sK56 )
| ( app(tl(sK56),iPr_def_13) = tl(app(sK56,iPr_def_13)) ) ),
inference(superposition,[status(thm)],[c_172129,c_180595]) ).
tcf(c_196497,plain,
( ( nil = sK56 )
| ( app(tl(sK56),iPr_def_11) = tl(app(sK56,iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_172791,c_180595]) ).
tcf(c_196498,plain,
( ( nil = sK56 )
| ( app(tl(sK56),iPr_def_12) = tl(app(sK56,iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_172792,c_180595]) ).
tcf(c_196499,plain,
( ( nil = sK56 )
| ( app(tl(sK56),iPr_def_10) = tl(app(sK56,iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_172620,c_180595]) ).
tcf(c_196500,plain,
( ( nil = sK56 )
| ( nil = sK60 )
| ( app(tl(sK56),tl(sK60)) = tl(app(sK56,tl(sK60))) ) ),
inference(superposition,[status(thm)],[c_175037,c_180595]) ).
tcf(c_196501,plain,
( ( nil = sK56 )
| ( nil = sK59 )
| ( app(tl(sK56),tl(sK59)) = tl(app(sK56,tl(sK59))) ) ),
inference(superposition,[status(thm)],[c_175432,c_180595]) ).
tcf(c_196502,plain,
( ( nil = sK56 )
| ( app(tl(sK56),tl(sK56)) = tl(app(sK56,tl(sK56))) ) ),
inference(superposition,[status(thm)],[c_175478,c_180595]) ).
tcf(c_196503,plain,
( ( nil = sK56 )
| ( app(tl(sK56),tl(iPr_def_13)) = tl(app(sK56,tl(iPr_def_13))) ) ),
inference(superposition,[status(thm)],[c_181732,c_180595]) ).
tcf(c_196504,plain,
( ( nil = sK56 )
| ( app(tl(sK56),tl(iPr_def_11)) = tl(app(sK56,tl(iPr_def_11))) ) ),
inference(superposition,[status(thm)],[c_182529,c_180595]) ).
tcf(c_196505,plain,
( ( nil = sK56 )
| ( app(tl(sK56),tl(iPr_def_12)) = tl(app(sK56,tl(iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_183724,c_180595]) ).
tcf(c_196806,plain,
( ssList(app(tl(sK56),sK60))
| ( nil = sK56 )
| ( app(sK56,sK60) = nil )
| ~ ssList(app(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_196493,c_151]) ).
tcf(c_196815,plain,
( ssList(app(tl(sK56),sK59))
| ( nil = sK56 )
| ( app(sK56,sK59) = nil )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_196494,c_151]) ).
tcf(c_196824,plain,
( ssList(app(tl(sK56),sK56))
| ( nil = sK56 )
| ( app(sK56,sK56) = nil )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_196495,c_151]) ).
tcf(c_196833,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_175441,c_122]) ).
tcf(c_196834,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_175441,c_114]) ).
tcf(c_196835,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_175441,c_130]) ).
tcf(c_196839,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_175441,c_54]) ).
tcf(c_196840,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_175441,c_67]) ).
tcf(c_196846,plain,
( frontsegP(cons(sK57,tl(sK59)),nil)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(cons(sK57,tl(sK59))) ),
inference(superposition,[status(thm)],[c_175441,c_378]) ).
tcf(c_196847,plain,
( rearsegP(cons(sK57,tl(sK59)),cons(sK57,tl(sK59)))
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(cons(sK57,tl(sK59))) ),
inference(superposition,[status(thm)],[c_175441,c_375]) ).
tcf(c_196849,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_175441,c_225]) ).
tcf(c_196853,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_175441,c_226]) ).
tcf(c_196854,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_175441,c_176]) ).
tcf(c_196856,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_175441,c_193]) ).
tcf(c_196859,plain,
( frontsegP(cons(sK57,tl(sK59)),nil)
| ( nil = sK59 )
| ~ ssList(cons(sK57,tl(sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196846,c_141]) ).
tcf(c_196863,plain,
( rearsegP(cons(sK57,tl(sK59)),cons(sK57,tl(sK59)))
| ( nil = sK59 )
| ~ ssList(cons(sK57,tl(sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196847,c_141]) ).
tcf(c_196867,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_196854,c_141]) ).
tcf(c_196873,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_196839,c_141,c_12925]) ).
tcf(c_196878,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_196853,c_141]) ).
tcf(c_196884,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_196849,c_141]) ).
tcf(c_196890,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_196856,c_141]) ).
tcf(c_196913,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_196840,c_141]) ).
tcf(c_196927,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_196835,c_141,c_12925]) ).
tcf(c_196933,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_196834,c_141,c_12925]) ).
tcf(c_196941,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_196833,c_141,c_12925]) ).
tcf(c_197133,plain,
rearsegP(cons(sK57,iPr_def_10),nil),
inference(global_subsumption_just,[status(thm)],[c_173331,c_16972,c_86947]) ).
tcf(c_197136,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_197133,c_184]) ).
tcf(c_197137,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_197133,c_66]) ).
tcf(c_197138,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_197137,c_141]) ).
tcf(c_197141,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_197136,c_141]) ).
tcf(c_197171,plain,
rearsegP(cons(sK57,iPr_def_12),nil),
inference(global_subsumption_just,[status(thm)],[c_173334,c_16975,c_86120]) ).
tcf(c_197174,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_197171,c_184]) ).
tcf(c_197175,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_197171,c_66]) ).
tcf(c_197176,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_197175,c_141]) ).
tcf(c_197179,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_197174,c_141]) ).
tcf(c_197193,plain,
( ( sK10(iPr_def_13) = sK57 )
| ~ ssList(nil)
| ~ ssItem(sK10(iPr_def_13))
| ( iPr_def_10 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_173631,c_189571]) ).
tcf(c_197194,plain,
( ( nil = sK60 )
| ( sK50(sK60) = sK57 )
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ( sK60 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_175640,c_189571]) ).
tcf(c_197195,plain,
( ( nil = sK59 )
| ( sK50(sK59) = sK57 )
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ( sK59 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_175641,c_189571]) ).
tcf(c_197196,plain,
( ( nil = sK56 )
| ( sK50(sK56) = sK57 )
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ( sK56 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_175642,c_189571]) ).
tcf(c_197198,plain,
( ( nil = sK60 )
| ( hd(sK60) = sK57 )
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ( sK60 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_175831,c_189571]) ).
tcf(c_197199,plain,
( ( nil = sK59 )
| ( hd(sK59) = sK57 )
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ( sK59 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_175832,c_189571]) ).
tcf(c_197200,plain,
( ( nil = sK56 )
| ( hd(sK56) = sK57 )
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ( sK56 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_175833,c_189571]) ).
tcf(c_197201,plain,
( ( sK10(iPr_def_13) = sK57 )
| ~ ssItem(sK10(iPr_def_13))
| ( iPr_def_10 != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197193,c_141]) ).
tcf(c_197274,plain,
( ( nil = sK60 )
| ( sK49(sK60) = nil )
| ~ ssList(sK49(sK60))
| ~ ssItem(sK50(sK60))
| ( sK60 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_175640,c_189707]) ).
tcf(c_197275,plain,
( ( nil = sK59 )
| ( sK49(sK59) = nil )
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ( sK59 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_175641,c_189707]) ).
tcf(c_197276,plain,
( ( nil = sK56 )
| ( sK49(sK56) = nil )
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ( sK56 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_175642,c_189707]) ).
tcf(c_197277,plain,
( ( sK49(iPr_def_10) = nil )
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_175650,c_189707]) ).
tcf(c_197278,plain,
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(tl(sK60))
| ~ ssItem(hd(sK60))
| ( sK60 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_175831,c_189707]) ).
tcf(c_197279,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ( sK59 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_175832,c_189707]) ).
tcf(c_197280,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ( sK56 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_175833,c_189707]) ).
tcf(c_197320,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_181813]) ).
tcf(c_197321,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_181813]) ).
tcf(c_197322,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_181813]) ).
tcf(c_197323,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_181813]) ).
tcf(c_197324,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_181813]) ).
tcf(c_197325,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_181813]) ).
tcf(c_197326,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_181813]) ).
tcf(c_197336,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_181813]) ).
tcf(c_197337,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_181813]) ).
tcf(c_197338,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_181813]) ).
tcf(c_197339,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_181813]) ).
tcf(c_197340,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_181813]) ).
tcf(c_197341,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_181813]) ).
tcf(c_197342,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_181813]) ).
tcf(c_197343,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_181813]) ).
tcf(c_197344,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_181813]) ).
tcf(c_197345,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_181813]) ).
tcf(c_197346,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_181813]) ).
tcf(c_197347,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_181813]) ).
tcf(c_197348,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,nil)) = app(cons(sK57,X0),nil) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_141,c_181813]) ).
tcf(c_197349,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_181813]) ).
tcf(c_197350,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_181813]) ).
tcf(c_197351,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_181813]) ).
tcf(c_197352,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,sK60)) = app(cons(sK57,X0),sK60) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12927,c_181813]) ).
tcf(c_197353,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,sK59)) = app(cons(sK57,X0),sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12926,c_181813]) ).
tcf(c_197354,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,sK56)) = app(cons(sK57,X0),sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12924,c_181813]) ).
tcf(c_197355,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,iPr_def_13)) = app(cons(sK57,X0),iPr_def_13) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_172129,c_181813]) ).
tcf(c_197356,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,iPr_def_11)) = app(cons(sK57,X0),iPr_def_11) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_172791,c_181813]) ).
tcf(c_197357,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,iPr_def_12)) = app(cons(sK57,X0),iPr_def_12) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_172792,c_181813]) ).
tcf(c_197358,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,iPr_def_10)) = app(cons(sK57,X0),iPr_def_10) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_172620,c_181813]) ).
tcf(c_197359,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( cons(sK57,app(X0,tl(sK60))) = app(cons(sK57,X0),tl(sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175037,c_181813]) ).
tcf(c_197360,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( cons(sK57,app(X0,tl(sK59))) = app(cons(sK57,X0),tl(sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175432,c_181813]) ).
tcf(c_197361,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( cons(sK57,app(X0,tl(sK56))) = app(cons(sK57,X0),tl(sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175478,c_181813]) ).
tcf(c_197362,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_181732,c_181813]) ).
tcf(c_197363,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_182529,c_181813]) ).
tcf(c_197364,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_183724,c_181813]) ).
tcf(c_197632,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_197352]) ).
tcf(c_197633,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_197352]) ).
tcf(c_197634,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_197352]) ).
tcf(c_197635,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_197352]) ).
tcf(c_197636,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_197352]) ).
tcf(c_197637,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_197352]) ).
tcf(c_197638,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_197352]) ).
tcf(c_197648,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_197352]) ).
tcf(c_197649,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_197352]) ).
tcf(c_197650,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_197352]) ).
tcf(c_197651,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_197352]) ).
tcf(c_197652,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_197352]) ).
tcf(c_197653,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_197352]) ).
tcf(c_197654,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_197352]) ).
tcf(c_197655,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_197352]) ).
tcf(c_197656,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_197352]) ).
tcf(c_197657,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_197352]) ).
tcf(c_197658,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_197352]) ).
tcf(c_197659,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_197352]) ).
tcf(c_197660,plain,
cons(sK57,app(nil,sK60)) = app(cons(sK57,nil),sK60),
inference(superposition,[status(thm)],[c_141,c_197352]) ).
tcf(c_197661,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_197352]) ).
tcf(c_197662,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_197352]) ).
tcf(c_197663,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_197352]) ).
tcf(c_197664,plain,
cons(sK57,app(sK60,sK60)) = app(cons(sK57,sK60),sK60),
inference(superposition,[status(thm)],[c_12927,c_197352]) ).
tcf(c_197665,plain,
cons(sK57,app(sK59,sK60)) = app(cons(sK57,sK59),sK60),
inference(superposition,[status(thm)],[c_12926,c_197352]) ).
tcf(c_197666,plain,
cons(sK57,app(sK56,sK60)) = app(cons(sK57,sK56),sK60),
inference(superposition,[status(thm)],[c_12924,c_197352]) ).
tcf(c_197667,plain,
cons(sK57,app(iPr_def_13,sK60)) = app(cons(sK57,iPr_def_13),sK60),
inference(superposition,[status(thm)],[c_172129,c_197352]) ).
tcf(c_197668,plain,
cons(sK57,app(iPr_def_11,sK60)) = app(cons(sK57,iPr_def_11),sK60),
inference(superposition,[status(thm)],[c_172791,c_197352]) ).
tcf(c_197669,plain,
cons(sK57,app(iPr_def_12,sK60)) = app(cons(sK57,iPr_def_12),sK60),
inference(superposition,[status(thm)],[c_172792,c_197352]) ).
tcf(c_197670,plain,
cons(sK57,app(iPr_def_10,sK60)) = app(cons(sK57,iPr_def_10),sK60),
inference(superposition,[status(thm)],[c_172620,c_197352]) ).
tcf(c_197671,plain,
( ( nil = sK60 )
| ( cons(sK57,app(tl(sK60),sK60)) = app(cons(sK57,tl(sK60)),sK60) ) ),
inference(superposition,[status(thm)],[c_175037,c_197352]) ).
tcf(c_197672,plain,
( ( nil = sK59 )
| ( cons(sK57,app(tl(sK59),sK60)) = app(cons(sK57,tl(sK59)),sK60) ) ),
inference(superposition,[status(thm)],[c_175432,c_197352]) ).
tcf(c_197673,plain,
( ( nil = sK56 )
| ( cons(sK57,app(tl(sK56),sK60)) = app(cons(sK57,tl(sK56)),sK60) ) ),
inference(superposition,[status(thm)],[c_175478,c_197352]) ).
tcf(c_197674,plain,
cons(sK57,app(tl(iPr_def_13),sK60)) = app(cons(sK57,tl(iPr_def_13)),sK60),
inference(superposition,[status(thm)],[c_181732,c_197352]) ).
tcf(c_197675,plain,
cons(sK57,app(tl(iPr_def_11),sK60)) = app(cons(sK57,tl(iPr_def_11)),sK60),
inference(superposition,[status(thm)],[c_182529,c_197352]) ).
tcf(c_197676,plain,
cons(sK57,app(tl(iPr_def_12),sK60)) = app(cons(sK57,tl(iPr_def_12)),sK60),
inference(superposition,[status(thm)],[c_183724,c_197352]) ).
tcf(c_197677,plain,
app(cons(sK57,iPr_def_12),sK60) = cons(sK57,iPr_def_13),
inference(light_normalisation,[status(thm)],[c_197669,c_12920]) ).
tcf(c_197678,plain,
cons(sK57,sK60) = app(iPr_def_10,sK60),
inference(light_normalisation,[status(thm)],[c_197660,c_172467,c_195465]) ).
tcf(c_197924,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_197664,c_67]) ).
tcf(c_197927,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_197664,c_167]) ).
tcf(c_197928,plain,
( ( cons(sK57,sK60) = nil )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK60)) != nil ) ),
inference(superposition,[status(thm)],[c_197664,c_231]) ).
tcf(c_197929,plain,
( ( nil = sK60 )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK60)) != nil ) ),
inference(superposition,[status(thm)],[c_197664,c_230]) ).
tcf(c_197930,plain,
( frontsegP(cons(sK57,app(sK60,sK60)),cons(sK57,sK60))
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_197664,c_378]) ).
tcf(c_197931,plain,
( rearsegP(cons(sK57,app(sK60,sK60)),sK60)
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_197664,c_375]) ).
tcf(c_197932,plain,
( ssList(cons(sK57,app(sK60,sK60)))
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_197664,c_153]) ).
tcf(c_197933,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_197664,c_225]) ).
tcf(c_197934,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_197664,c_226]) ).
tcf(c_197935,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_197664,c_176]) ).
tcf(c_197936,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_197664,c_165]) ).
tcf(c_197937,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_197664,c_193]) ).
tcf(c_197938,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_197664,c_186]) ).
tcf(c_197939,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_197664,c_166]) ).
tcf(c_197940,plain,
( ( cons(sK57,sK60) = iPr_def_12 )
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK60)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_197664,c_185907]) ).
tcf(c_197941,plain,
( ( cons(sK57,sK60) = nil )
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK60)) != sK60 ) ),
inference(superposition,[status(thm)],[c_197664,c_185899]) ).
tcf(c_197942,plain,
( ssList(cons(sK57,app(sK60,sK60)))
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197932,c_12927]) ).
tcf(c_197945,plain,
( rearsegP(cons(sK57,app(sK60,sK60)),sK60)
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197931,c_12927]) ).
tcf(c_197948,plain,
( frontsegP(cons(sK57,app(sK60,sK60)),cons(sK57,sK60))
| ~ ssList(cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197930,c_12927]) ).
tcf(c_197957,plain,
( ( nil = sK60 )
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK60)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197929,c_12927]) ).
tcf(c_197961,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_197939,c_12927]) ).
tcf(c_197966,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_197938,c_12927]) ).
tcf(c_197971,plain,
( ( cons(sK57,sK60) = nil )
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK60)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_197928,c_12927]) ).
tcf(c_197975,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_197936,c_12927]) ).
tcf(c_197980,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_197935,c_12927]) ).
tcf(c_197985,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_197937,c_12927]) ).
tcf(c_197991,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_197927,c_12927]) ).
tcf(c_197997,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_197934,c_12927]) ).
tcf(c_198002,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_197933,c_12927]) ).
tcf(c_198007,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_197924,c_197664]) ).
tcf(c_198008,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_198007,c_12927]) ).
tcf(c_198025,plain,
ssList(cons(sK57,app(sK60,sK60))),
inference(global_subsumption_just,[status(thm)],[c_197942,c_43187,c_44373]) ).
tcf(c_198027,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_198025,c_228]) ).
tcf(c_198028,plain,
cons(sK57,app(cons(sK57,app(sK60,sK60)),sK60)) = app(cons(sK57,cons(sK57,app(sK60,sK60))),sK60),
inference(superposition,[status(thm)],[c_198025,c_197352]) ).
tcf(c_198029,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_198025,c_181813]) ).
tcf(c_198030,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK60,sK60))) = tl(app(sK56,cons(sK57,app(sK60,sK60)))) ) ),
inference(superposition,[status(thm)],[c_198025,c_180595]) ).
tcf(c_198031,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK60,sK60))) = tl(app(sK59,cons(sK57,app(sK60,sK60)))) ) ),
inference(superposition,[status(thm)],[c_198025,c_180594]) ).
tcf(c_198032,plain,
( ( nil = sK60 )
| ( app(tl(sK60),cons(sK57,app(sK60,sK60))) = tl(app(sK60,cons(sK57,app(sK60,sK60)))) ) ),
inference(superposition,[status(thm)],[c_198025,c_180593]) ).
tcf(c_198033,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_198025,c_124]) ).
tcf(c_198034,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_198025,c_116]) ).
tcf(c_198035,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_198025,c_108]) ).
tcf(c_198036,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK60,sK60)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_198025,c_178855]) ).
tcf(c_198037,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK60,sK60)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_198025,c_178854]) ).
tcf(c_198038,plain,
( ( nil = sK60 )
| ( hd(app(sK60,cons(sK57,app(sK60,sK60)))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_198025,c_178853]) ).
tcf(c_198039,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_198025,c_234]) ).
tcf(c_198040,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_198025,c_132]) ).
tcf(c_198041,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_198025,c_233]) ).
tcf(c_198042,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_198025,c_224]) ).
tcf(c_198043,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_198025,c_147]) ).
tcf(c_198044,plain,
( ( cons(sK57,app(sK60,sK60)) = nil )
| ( tl(cons(sK57,app(sK60,sK60))) = sK52(cons(sK57,app(sK60,sK60))) ) ),
inference(superposition,[status(thm)],[c_198025,c_222]) ).
tcf(c_198045,plain,
( ( cons(sK57,app(sK60,sK60)) = nil )
| ( hd(cons(sK57,app(sK60,sK60))) = sK51(cons(sK57,app(sK60,sK60))) ) ),
inference(superposition,[status(thm)],[c_198025,c_220]) ).
tcf(c_198046,plain,
app(nil,cons(sK57,cons(sK57,app(sK60,sK60)))) = cons(sK57,cons(sK57,app(sK60,sK60))),
inference(superposition,[status(thm)],[c_198025,c_173183]) ).
tcf(c_198047,plain,
tl(cons(sK57,cons(sK57,app(sK60,sK60)))) = cons(sK57,app(sK60,sK60)),
inference(superposition,[status(thm)],[c_198025,c_173821]) ).
tcf(c_198048,plain,
hd(cons(sK57,cons(sK57,app(sK60,sK60)))) = sK57,
inference(superposition,[status(thm)],[c_198025,c_173700]) ).
tcf(c_198049,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_198025,c_172633]) ).
tcf(c_198050,plain,
( duplicatefreeP(cons(sK57,app(sK60,sK60)))
| ( sK40(cons(sK57,app(sK60,sK60))) = sK41(cons(sK57,app(sK60,sK60))) ) ),
inference(superposition,[status(thm)],[c_198025,c_123]) ).
tcf(c_198051,plain,
app(cons(sK57,cons(sK57,app(sK60,sK60))),nil) = cons(sK57,cons(sK57,app(sK60,sK60))),
inference(superposition,[status(thm)],[c_198025,c_172683]) ).
tcf(c_198052,plain,
app(cons(sK57,app(sK60,sK60)),nil) = cons(sK57,app(sK60,sK60)),
inference(superposition,[status(thm)],[c_198025,c_232]) ).
tcf(c_198053,plain,
app(nil,cons(sK57,app(sK60,sK60))) = cons(sK57,app(sK60,sK60)),
inference(superposition,[status(thm)],[c_198025,c_155]) ).
tcf(c_198166,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_197665,c_67]) ).
tcf(c_198169,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_197665,c_167]) ).
tcf(c_198170,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK60)) != nil ) ),
inference(superposition,[status(thm)],[c_197665,c_231]) ).
tcf(c_198171,plain,
( ( nil = sK60 )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK60)) != nil ) ),
inference(superposition,[status(thm)],[c_197665,c_230]) ).
tcf(c_198172,plain,
( frontsegP(cons(sK57,app(sK59,sK60)),cons(sK57,sK59))
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_197665,c_378]) ).
tcf(c_198173,plain,
( rearsegP(cons(sK57,app(sK59,sK60)),sK60)
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_197665,c_375]) ).
tcf(c_198174,plain,
( ssList(cons(sK57,app(sK59,sK60)))
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_197665,c_153]) ).
tcf(c_198175,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_197665,c_225]) ).
tcf(c_198176,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_197665,c_226]) ).
tcf(c_198177,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_197665,c_176]) ).
tcf(c_198178,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_197665,c_165]) ).
tcf(c_198179,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_197665,c_193]) ).
tcf(c_198180,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_197665,c_186]) ).
tcf(c_198181,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_197665,c_166]) ).
tcf(c_198182,plain,
( ( cons(sK57,sK59) = iPr_def_12 )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK60)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_197665,c_185907]) ).
tcf(c_198183,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK60)) != sK60 ) ),
inference(superposition,[status(thm)],[c_197665,c_185899]) ).
tcf(c_198184,plain,
( ssList(cons(sK57,app(sK59,sK60)))
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198174,c_12927]) ).
tcf(c_198187,plain,
( rearsegP(cons(sK57,app(sK59,sK60)),sK60)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198173,c_12927]) ).
tcf(c_198190,plain,
( frontsegP(cons(sK57,app(sK59,sK60)),cons(sK57,sK59))
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198172,c_12927]) ).
tcf(c_198199,plain,
( ( nil = sK60 )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK60)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198171,c_12927]) ).
tcf(c_198203,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_198181,c_12927]) ).
tcf(c_198208,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_198180,c_12927]) ).
tcf(c_198213,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK60)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198170,c_12927]) ).
tcf(c_198217,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_198178,c_12927]) ).
tcf(c_198222,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_198177,c_12927]) ).
tcf(c_198227,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_198179,c_12927]) ).
tcf(c_198233,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_198169,c_12927]) ).
tcf(c_198239,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_198176,c_12927]) ).
tcf(c_198244,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_198175,c_12927]) ).
tcf(c_198249,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_198166,c_197665]) ).
tcf(c_198250,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_198249,c_12927]) ).
tcf(c_198362,plain,
ssList(cons(sK57,app(sK59,sK60))),
inference(global_subsumption_just,[status(thm)],[c_198184,c_43785,c_45941]) ).
tcf(c_198364,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_198362,c_228]) ).
tcf(c_198365,plain,
cons(sK57,app(cons(sK57,app(sK59,sK60)),sK60)) = app(cons(sK57,cons(sK57,app(sK59,sK60))),sK60),
inference(superposition,[status(thm)],[c_198362,c_197352]) ).
tcf(c_198366,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_198362,c_181813]) ).
tcf(c_198367,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK59,sK60))) = tl(app(sK56,cons(sK57,app(sK59,sK60)))) ) ),
inference(superposition,[status(thm)],[c_198362,c_180595]) ).
tcf(c_198368,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK59,sK60))) = tl(app(sK59,cons(sK57,app(sK59,sK60)))) ) ),
inference(superposition,[status(thm)],[c_198362,c_180594]) ).
tcf(c_198369,plain,
( ( nil = sK60 )
| ( app(tl(sK60),cons(sK57,app(sK59,sK60))) = tl(app(sK60,cons(sK57,app(sK59,sK60)))) ) ),
inference(superposition,[status(thm)],[c_198362,c_180593]) ).
tcf(c_198370,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_198362,c_124]) ).
tcf(c_198371,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_198362,c_116]) ).
tcf(c_198372,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_198362,c_108]) ).
tcf(c_198373,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK59,sK60)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_198362,c_178855]) ).
tcf(c_198374,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK59,sK60)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_198362,c_178854]) ).
tcf(c_198375,plain,
( ( nil = sK60 )
| ( hd(app(sK60,cons(sK57,app(sK59,sK60)))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_198362,c_178853]) ).
tcf(c_198376,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_198362,c_234]) ).
tcf(c_198377,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_198362,c_132]) ).
tcf(c_198378,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_198362,c_233]) ).
tcf(c_198379,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_198362,c_224]) ).
tcf(c_198380,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_198362,c_147]) ).
tcf(c_198381,plain,
( ( cons(sK57,app(sK59,sK60)) = nil )
| ( tl(cons(sK57,app(sK59,sK60))) = sK52(cons(sK57,app(sK59,sK60))) ) ),
inference(superposition,[status(thm)],[c_198362,c_222]) ).
tcf(c_198382,plain,
( ( cons(sK57,app(sK59,sK60)) = nil )
| ( hd(cons(sK57,app(sK59,sK60))) = sK51(cons(sK57,app(sK59,sK60))) ) ),
inference(superposition,[status(thm)],[c_198362,c_220]) ).
tcf(c_198383,plain,
app(nil,cons(sK57,cons(sK57,app(sK59,sK60)))) = cons(sK57,cons(sK57,app(sK59,sK60))),
inference(superposition,[status(thm)],[c_198362,c_173183]) ).
tcf(c_198384,plain,
tl(cons(sK57,cons(sK57,app(sK59,sK60)))) = cons(sK57,app(sK59,sK60)),
inference(superposition,[status(thm)],[c_198362,c_173821]) ).
tcf(c_198385,plain,
hd(cons(sK57,cons(sK57,app(sK59,sK60)))) = sK57,
inference(superposition,[status(thm)],[c_198362,c_173700]) ).
tcf(c_198386,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_198362,c_172633]) ).
tcf(c_198387,plain,
( duplicatefreeP(cons(sK57,app(sK59,sK60)))
| ( sK40(cons(sK57,app(sK59,sK60))) = sK41(cons(sK57,app(sK59,sK60))) ) ),
inference(superposition,[status(thm)],[c_198362,c_123]) ).
tcf(c_198388,plain,
app(cons(sK57,cons(sK57,app(sK59,sK60))),nil) = cons(sK57,cons(sK57,app(sK59,sK60))),
inference(superposition,[status(thm)],[c_198362,c_172683]) ).
tcf(c_198389,plain,
app(cons(sK57,app(sK59,sK60)),nil) = cons(sK57,app(sK59,sK60)),
inference(superposition,[status(thm)],[c_198362,c_232]) ).
tcf(c_198390,plain,
app(nil,cons(sK57,app(sK59,sK60))) = cons(sK57,app(sK59,sK60)),
inference(superposition,[status(thm)],[c_198362,c_155]) ).
tcf(c_198565,plain,
rearsegP(cons(sK57,iPr_def_11),nil),
inference(global_subsumption_just,[status(thm)],[c_173337,c_16978,c_83430]) ).
tcf(c_198568,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_198565,c_184]) ).
tcf(c_198569,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_198565,c_66]) ).
tcf(c_198570,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_198569,c_141]) ).
tcf(c_198573,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_198568,c_141]) ).
tcf(c_198577,plain,
rearsegP(cons(sK57,iPr_def_13),nil),
inference(global_subsumption_just,[status(thm)],[c_173340,c_16981,c_71011]) ).
tcf(c_198580,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_198577,c_184]) ).
tcf(c_198581,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_198577,c_66]) ).
tcf(c_198582,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_198581,c_141]) ).
tcf(c_198585,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_198580,c_141]) ).
tcf(c_198589,plain,
rearsegP(cons(sK57,sK56),nil),
inference(global_subsumption_just,[status(thm)],[c_173343,c_16984,c_49784]) ).
tcf(c_198592,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56))
| ~ rearsegP(nil,cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_198589,c_184]) ).
tcf(c_198593,plain,
( ( app(sK12(cons(sK57,sK56),nil),nil) = cons(sK57,sK56) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_198589,c_66]) ).
tcf(c_198594,plain,
( ( app(sK12(cons(sK57,sK56),nil),nil) = cons(sK57,sK56) )
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198593,c_141]) ).
tcf(c_198597,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(cons(sK57,sK56))
| ~ rearsegP(nil,cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198592,c_141]) ).
tcf(c_198601,plain,
rearsegP(cons(sK57,sK59),nil),
inference(global_subsumption_just,[status(thm)],[c_173346,c_16987,c_45941]) ).
tcf(c_198604,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59))
| ~ rearsegP(nil,cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_198601,c_184]) ).
tcf(c_198605,plain,
( ( app(sK12(cons(sK57,sK59),nil),nil) = cons(sK57,sK59) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_198601,c_66]) ).
tcf(c_198606,plain,
( ( app(sK12(cons(sK57,sK59),nil),nil) = cons(sK57,sK59) )
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198605,c_141]) ).
tcf(c_198609,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(cons(sK57,sK59))
| ~ rearsegP(nil,cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198604,c_141]) ).
tcf(c_198649,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_197678,c_67]) ).
tcf(c_198652,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_197678,c_167]) ).
tcf(c_198653,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK60)
| ( cons(sK57,sK60) != nil ) ),
inference(superposition,[status(thm)],[c_197678,c_231]) ).
tcf(c_198654,plain,
( ( nil = sK60 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK60)
| ( cons(sK57,sK60) != nil ) ),
inference(superposition,[status(thm)],[c_197678,c_230]) ).
tcf(c_198655,plain,
( frontsegP(cons(sK57,sK60),iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_197678,c_378]) ).
tcf(c_198656,plain,
( rearsegP(cons(sK57,sK60),sK60)
| ~ ssList(iPr_def_10)
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_197678,c_375]) ).
tcf(c_198657,plain,
( ssList(cons(sK57,sK60))
| ~ ssList(iPr_def_10)
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_197678,c_153]) ).
tcf(c_198658,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_197678,c_225]) ).
tcf(c_198659,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_197678,c_226]) ).
tcf(c_198660,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_197678,c_176]) ).
tcf(c_198661,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_197678,c_165]) ).
tcf(c_198662,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_197678,c_193]) ).
tcf(c_198663,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK60),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0) ),
inference(superposition,[status(thm)],[c_197678,c_186]) ).
tcf(c_198664,plain,
! [X0: $i] :
( memberP(cons(sK57,sK60),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK60)
| ~ ssItem(X0)
| ~ memberP(sK60,X0) ),
inference(superposition,[status(thm)],[c_197678,c_166]) ).
tcf(c_198665,plain,
( ( iPr_def_10 = iPr_def_12 )
| ~ ssList(iPr_def_10)
| ( cons(sK57,sK60) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_197678,c_185907]) ).
tcf(c_198666,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( cons(sK57,sK60) != sK60 ) ),
inference(superposition,[status(thm)],[c_197678,c_185899]) ).
tcf(c_198667,plain,
ssList(cons(sK57,sK60)),
inference(forward_subsumption_resolution,[status(thm)],[c_198657,c_172620,c_12927]) ).
tcf(c_198668,plain,
rearsegP(cons(sK57,sK60),sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_198656,c_172620,c_12927]) ).
tcf(c_198669,plain,
frontsegP(cons(sK57,sK60),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_198655,c_172620,c_12927]) ).
tcf(c_198670,plain,
cons(sK57,sK60) != sK60,
inference(forward_subsumption_resolution,[status(thm)],[c_198666,c_173666,c_172620]) ).
tcf(c_198671,plain,
( ( iPr_def_10 = iPr_def_12 )
| ( cons(sK57,sK60) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198665,c_172620]) ).
tcf(c_198677,plain,
cons(sK57,sK60) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_198653,c_173666,c_172620,c_12927]) ).
tcf(c_198678,plain,
! [X0: $i] :
( memberP(cons(sK57,sK60),X0)
| ~ ssItem(X0)
| ~ memberP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198664,c_172620,c_12927]) ).
tcf(c_198682,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK60),X0)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198663,c_172620,c_12927]) ).
tcf(c_198686,plain,
! [X0: $i] :
( memberP(cons(sK57,sK60),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198661,c_172620,c_12927]) ).
tcf(c_198690,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK60),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198660,c_172620,c_12927]) ).
tcf(c_198694,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_198652,c_172620,c_12927]) ).
tcf(c_198699,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != cons(sK57,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198659,c_172620,c_12927]) ).
tcf(c_198703,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(X0,sK60) != cons(sK57,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198658,c_172620,c_12927]) ).
tcf(c_198707,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_198662,c_172620,c_12927]) ).
tcf(c_198712,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_198649,c_197678]) ).
tcf(c_198713,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_198712,c_172620,c_12927]) ).
tcf(c_198717,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_198667,c_228]) ).
tcf(c_198718,plain,
cons(sK57,app(cons(sK57,sK60),sK60)) = app(cons(sK57,cons(sK57,sK60)),sK60),
inference(superposition,[status(thm)],[c_198667,c_197352]) ).
tcf(c_198719,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,sK60))) = app(cons(sK57,X0),cons(sK57,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_198667,c_181813]) ).
tcf(c_198720,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,sK60)) = tl(app(sK56,cons(sK57,sK60))) ) ),
inference(superposition,[status(thm)],[c_198667,c_180595]) ).
tcf(c_198721,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,sK60)) = tl(app(sK59,cons(sK57,sK60))) ) ),
inference(superposition,[status(thm)],[c_198667,c_180594]) ).
tcf(c_198722,plain,
( ( nil = sK60 )
| ( app(tl(sK60),cons(sK57,sK60)) = tl(app(sK60,cons(sK57,sK60))) ) ),
inference(superposition,[status(thm)],[c_198667,c_180593]) ).
tcf(c_198723,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_198667,c_124]) ).
tcf(c_198724,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_198667,c_116]) ).
tcf(c_198725,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_198667,c_108]) ).
tcf(c_198726,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,sK60))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_198667,c_178855]) ).
tcf(c_198727,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,sK60))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_198667,c_178854]) ).
tcf(c_198728,plain,
( ( nil = sK60 )
| ( hd(app(sK60,cons(sK57,sK60))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_198667,c_178853]) ).
tcf(c_198729,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_198667,c_234]) ).
tcf(c_198730,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_198667,c_132]) ).
tcf(c_198731,plain,
! [X0: $i] :
( ( cons(sK57,sK60) = nil )
| ( hd(app(cons(sK57,sK60),X0)) = hd(cons(sK57,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_198667,c_233]) ).
tcf(c_198732,plain,
( ( cons(sK57,sK60) = nil )
| ( cons(hd(cons(sK57,sK60)),tl(cons(sK57,sK60))) = cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_198667,c_224]) ).
tcf(c_198733,plain,
( ( cons(sK57,sK60) = nil )
| ( cons(sK50(cons(sK57,sK60)),sK49(cons(sK57,sK60))) = cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_198667,c_147]) ).
tcf(c_198734,plain,
( ( cons(sK57,sK60) = nil )
| ( tl(cons(sK57,sK60)) = sK52(cons(sK57,sK60)) ) ),
inference(superposition,[status(thm)],[c_198667,c_222]) ).
tcf(c_198735,plain,
( ( cons(sK57,sK60) = nil )
| ( hd(cons(sK57,sK60)) = sK51(cons(sK57,sK60)) ) ),
inference(superposition,[status(thm)],[c_198667,c_220]) ).
tcf(c_198736,plain,
app(nil,cons(sK57,cons(sK57,sK60))) = cons(sK57,cons(sK57,sK60)),
inference(superposition,[status(thm)],[c_198667,c_173183]) ).
tcf(c_198737,plain,
tl(cons(sK57,cons(sK57,sK60))) = cons(sK57,sK60),
inference(superposition,[status(thm)],[c_198667,c_173821]) ).
tcf(c_198738,plain,
hd(cons(sK57,cons(sK57,sK60))) = sK57,
inference(superposition,[status(thm)],[c_198667,c_173700]) ).
tcf(c_198739,plain,
( ( cons(sK57,sK60) = nil )
| ( app(sK49(cons(sK57,sK60)),nil) = sK49(cons(sK57,sK60)) ) ),
inference(superposition,[status(thm)],[c_198667,c_172633]) ).
tcf(c_198740,plain,
( duplicatefreeP(cons(sK57,sK60))
| ( sK40(cons(sK57,sK60)) = sK41(cons(sK57,sK60)) ) ),
inference(superposition,[status(thm)],[c_198667,c_123]) ).
tcf(c_198741,plain,
app(cons(sK57,cons(sK57,sK60)),nil) = cons(sK57,cons(sK57,sK60)),
inference(superposition,[status(thm)],[c_198667,c_172683]) ).
tcf(c_198752,plain,
( ( cons(sK57,sK60) = nil )
| ( sK51(cons(sK57,sK60)) = sK57 ) ),
inference(light_normalisation,[status(thm)],[c_198735,c_173946]) ).
tcf(c_198755,plain,
( ( cons(sK57,sK60) = nil )
| ( sK52(cons(sK57,sK60)) = sK60 ) ),
inference(light_normalisation,[status(thm)],[c_198734,c_174093]) ).
tcf(c_198758,plain,
cons(sK57,cons(sK57,app(sK60,sK60))) = app(cons(sK57,cons(sK57,sK60)),sK60),
inference(light_normalisation,[status(thm)],[c_198718,c_197664]) ).
tcf(c_198772,plain,
! [X0: $i] :
( ( cons(sK57,sK60) = nil )
| ( hd(app(cons(sK57,sK60),X0)) = sK57 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_198731,c_173946]) ).
tcf(c_198779,plain,
! [X0: $i] :
( ( cons(sK57,sK60) = nil )
| ( tl(app(cons(sK57,sK60),X0)) = app(sK60,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_198729,c_174093]) ).
tcf(c_199030,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK60),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_198668,c_183]) ).
tcf(c_199031,plain,
( ( cons(sK57,sK60) = sK60 )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK60))
| ~ rearsegP(sK60,cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_198668,c_184]) ).
tcf(c_199032,plain,
( ( app(sK12(cons(sK57,sK60),sK60),sK60) = cons(sK57,sK60) )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_198668,c_66]) ).
tcf(c_199033,plain,
app(sK12(cons(sK57,sK60),sK60),sK60) = cons(sK57,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_199032,c_12927,c_198667]) ).
tcf(c_199034,plain,
( ( cons(sK57,sK60) = sK60 )
| ~ rearsegP(sK60,cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199031,c_12927,c_198667]) ).
tcf(c_199038,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_198669,c_173]) ).
tcf(c_199039,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_198669,c_174]) ).
tcf(c_199040,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_198669,c_63]) ).
tcf(c_199042,plain,
app(iPr_def_10,sK11(cons(sK57,sK60),iPr_def_10)) = cons(sK57,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_199040,c_172620,c_198667]) ).
tcf(c_199043,plain,
( ( cons(sK57,sK60) = iPr_def_10 )
| ~ frontsegP(iPr_def_10,cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199039,c_172620,c_198667]) ).
tcf(c_199047,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_197666,c_67]) ).
tcf(c_199050,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_197666,c_167]) ).
tcf(c_199051,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK60)) != nil ) ),
inference(superposition,[status(thm)],[c_197666,c_231]) ).
tcf(c_199052,plain,
( ( nil = sK60 )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK60)) != nil ) ),
inference(superposition,[status(thm)],[c_197666,c_230]) ).
tcf(c_199053,plain,
( frontsegP(cons(sK57,app(sK56,sK60)),cons(sK57,sK56))
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_197666,c_378]) ).
tcf(c_199054,plain,
( rearsegP(cons(sK57,app(sK56,sK60)),sK60)
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_197666,c_375]) ).
tcf(c_199055,plain,
( ssList(cons(sK57,app(sK56,sK60)))
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_197666,c_153]) ).
tcf(c_199056,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_197666,c_225]) ).
tcf(c_199057,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_197666,c_226]) ).
tcf(c_199058,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_197666,c_176]) ).
tcf(c_199059,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_197666,c_165]) ).
tcf(c_199060,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_197666,c_193]) ).
tcf(c_199061,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_197666,c_186]) ).
tcf(c_199062,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_197666,c_166]) ).
tcf(c_199063,plain,
( ( cons(sK57,sK56) = iPr_def_12 )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK60)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_197666,c_185907]) ).
tcf(c_199064,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK60)) != sK60 ) ),
inference(superposition,[status(thm)],[c_197666,c_185899]) ).
tcf(c_199065,plain,
( ssList(cons(sK57,app(sK56,sK60)))
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199055,c_12927]) ).
tcf(c_199068,plain,
( rearsegP(cons(sK57,app(sK56,sK60)),sK60)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199054,c_12927]) ).
tcf(c_199071,plain,
( frontsegP(cons(sK57,app(sK56,sK60)),cons(sK57,sK56))
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199053,c_12927]) ).
tcf(c_199080,plain,
( ( nil = sK60 )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK60)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199052,c_12927]) ).
tcf(c_199084,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_199062,c_12927]) ).
tcf(c_199089,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_199061,c_12927]) ).
tcf(c_199094,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK60)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199051,c_12927]) ).
tcf(c_199098,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_199059,c_12927]) ).
tcf(c_199103,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_199058,c_12927]) ).
tcf(c_199108,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_199060,c_12927]) ).
tcf(c_199114,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_199050,c_12927]) ).
tcf(c_199120,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_199057,c_12927]) ).
tcf(c_199125,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_199056,c_12927]) ).
tcf(c_199130,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_199047,c_197666]) ).
tcf(c_199131,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_199130,c_12927]) ).
tcf(c_199136,plain,
ssList(cons(sK57,app(sK56,sK60))),
inference(global_subsumption_just,[status(thm)],[c_199065,c_44044,c_49784]) ).
tcf(c_199138,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_199136,c_228]) ).
tcf(c_199139,plain,
cons(sK57,app(cons(sK57,app(sK56,sK60)),sK60)) = app(cons(sK57,cons(sK57,app(sK56,sK60))),sK60),
inference(superposition,[status(thm)],[c_199136,c_197352]) ).
tcf(c_199140,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_199136,c_181813]) ).
tcf(c_199141,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK56,sK60))) = tl(app(sK56,cons(sK57,app(sK56,sK60)))) ) ),
inference(superposition,[status(thm)],[c_199136,c_180595]) ).
tcf(c_199142,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK56,sK60))) = tl(app(sK59,cons(sK57,app(sK56,sK60)))) ) ),
inference(superposition,[status(thm)],[c_199136,c_180594]) ).
tcf(c_199143,plain,
( ( nil = sK60 )
| ( app(tl(sK60),cons(sK57,app(sK56,sK60))) = tl(app(sK60,cons(sK57,app(sK56,sK60)))) ) ),
inference(superposition,[status(thm)],[c_199136,c_180593]) ).
tcf(c_199144,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_199136,c_124]) ).
tcf(c_199145,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_199136,c_116]) ).
tcf(c_199146,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_199136,c_108]) ).
tcf(c_199147,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK56,sK60)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_199136,c_178855]) ).
tcf(c_199148,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK56,sK60)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_199136,c_178854]) ).
tcf(c_199149,plain,
( ( nil = sK60 )
| ( hd(app(sK60,cons(sK57,app(sK56,sK60)))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_199136,c_178853]) ).
tcf(c_199150,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_199136,c_234]) ).
tcf(c_199151,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_199136,c_132]) ).
tcf(c_199152,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_199136,c_233]) ).
tcf(c_199153,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_199136,c_224]) ).
tcf(c_199154,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_199136,c_147]) ).
tcf(c_199155,plain,
( ( cons(sK57,app(sK56,sK60)) = nil )
| ( tl(cons(sK57,app(sK56,sK60))) = sK52(cons(sK57,app(sK56,sK60))) ) ),
inference(superposition,[status(thm)],[c_199136,c_222]) ).
tcf(c_199156,plain,
( ( cons(sK57,app(sK56,sK60)) = nil )
| ( hd(cons(sK57,app(sK56,sK60))) = sK51(cons(sK57,app(sK56,sK60))) ) ),
inference(superposition,[status(thm)],[c_199136,c_220]) ).
tcf(c_199157,plain,
app(nil,cons(sK57,cons(sK57,app(sK56,sK60)))) = cons(sK57,cons(sK57,app(sK56,sK60))),
inference(superposition,[status(thm)],[c_199136,c_173183]) ).
tcf(c_199158,plain,
tl(cons(sK57,cons(sK57,app(sK56,sK60)))) = cons(sK57,app(sK56,sK60)),
inference(superposition,[status(thm)],[c_199136,c_173821]) ).
tcf(c_199159,plain,
hd(cons(sK57,cons(sK57,app(sK56,sK60)))) = sK57,
inference(superposition,[status(thm)],[c_199136,c_173700]) ).
tcf(c_199160,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_199136,c_172633]) ).
tcf(c_199161,plain,
( duplicatefreeP(cons(sK57,app(sK56,sK60)))
| ( sK40(cons(sK57,app(sK56,sK60))) = sK41(cons(sK57,app(sK56,sK60))) ) ),
inference(superposition,[status(thm)],[c_199136,c_123]) ).
tcf(c_199162,plain,
app(cons(sK57,cons(sK57,app(sK56,sK60))),nil) = cons(sK57,cons(sK57,app(sK56,sK60))),
inference(superposition,[status(thm)],[c_199136,c_172683]) ).
tcf(c_199163,plain,
app(cons(sK57,app(sK56,sK60)),nil) = cons(sK57,app(sK56,sK60)),
inference(superposition,[status(thm)],[c_199136,c_232]) ).
tcf(c_199164,plain,
app(nil,cons(sK57,app(sK56,sK60))) = cons(sK57,app(sK56,sK60)),
inference(superposition,[status(thm)],[c_199136,c_155]) ).
tcf(c_199232,plain,
rearsegP(cons(sK57,app(sK60,sK60)),sK60),
inference(global_subsumption_just,[status(thm)],[c_197945,c_43190,c_44373]) ).
tcf(c_199234,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_199232,c_183]) ).
tcf(c_199235,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_199232,c_184]) ).
tcf(c_199236,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_199232,c_66]) ).
tcf(c_199237,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK60,sK60)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199234,c_12927,c_198025]) ).
tcf(c_199241,plain,
app(sK12(cons(sK57,app(sK60,sK60)),sK60),sK60) = cons(sK57,app(sK60,sK60)),
inference(forward_subsumption_resolution,[status(thm)],[c_199236,c_12927,c_198025]) ).
tcf(c_199242,plain,
( ( cons(sK57,app(sK60,sK60)) = sK60 )
| ~ rearsegP(sK60,cons(sK57,app(sK60,sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199235,c_12927,c_198025]) ).
tcf(c_199316,plain,
rearsegP(cons(sK57,app(sK59,sK60)),sK60),
inference(global_subsumption_just,[status(thm)],[c_198187,c_43788,c_45941]) ).
tcf(c_199318,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_199316,c_183]) ).
tcf(c_199319,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_199316,c_184]) ).
tcf(c_199320,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_199316,c_66]) ).
tcf(c_199321,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK60)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199318,c_12927,c_198362]) ).
tcf(c_199325,plain,
app(sK12(cons(sK57,app(sK59,sK60)),sK60),sK60) = cons(sK57,app(sK59,sK60)),
inference(forward_subsumption_resolution,[status(thm)],[c_199320,c_12927,c_198362]) ).
tcf(c_199326,plain,
( ( cons(sK57,app(sK59,sK60)) = sK60 )
| ~ rearsegP(sK60,cons(sK57,app(sK59,sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199319,c_12927,c_198362]) ).
tcf(c_199335,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_198678,c_57]) ).
tcf(c_199337,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_199335,c_198667]) ).
tcf(c_199347,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_198682,c_183]) ).
tcf(c_199348,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_198682,c_184]) ).
tcf(c_199349,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_198682,c_66]) ).
tcf(c_199350,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_199349,c_198667]) ).
tcf(c_199354,plain,
! [X0: $i] :
( ( cons(sK57,sK60) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK60,X0)
| ~ rearsegP(X0,cons(sK57,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199348,c_198667]) ).
tcf(c_199359,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_199347,c_198667]) ).
tcf(c_199382,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_198686,c_57]) ).
tcf(c_199383,plain,
! [X0: $i] :
( memberP(sK60,X0)
| ( X0 = sK57 )
| ~ ssList(sK60)
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_198686,c_170]) ).
tcf(c_199385,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_199382,c_198667]) ).
tcf(c_199395,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_175443,c_223]) ).
tcf(c_199396,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_175443,c_212]) ).
tcf(c_199397,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_175443,c_206]) ).
tcf(c_199420,plain,
rearsegP(cons(sK57,sK60),nil),
inference(global_subsumption_just,[status(thm)],[c_173349,c_16990,c_44373]) ).
tcf(c_199423,plain,
( ( cons(sK57,sK60) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK60))
| ~ rearsegP(nil,cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_199420,c_184]) ).
tcf(c_199424,plain,
( ( app(sK12(cons(sK57,sK60),nil),nil) = cons(sK57,sK60) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_199420,c_66]) ).
tcf(c_199425,plain,
app(sK12(cons(sK57,sK60),nil),nil) = cons(sK57,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_199424,c_141,c_198667]) ).
tcf(c_199426,plain,
~ rearsegP(nil,cons(sK57,sK60)),
inference(forward_subsumption_resolution,[status(thm)],[c_199423,c_198677,c_141,c_198667]) ).
tcf(c_199431,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_173680]) ).
tcf(c_199432,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_173680]) ).
tcf(c_199433,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK6,app(X0,X1))) = sK6 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_173680]) ).
tcf(c_199434,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_173680]) ).
tcf(c_199435,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_173680]) ).
tcf(c_199436,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_173680]) ).
tcf(c_199437,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_173680]) ).
tcf(c_199447,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK6,sK34(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_173680]) ).
tcf(c_199448,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK6,sK33(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_173680]) ).
tcf(c_199449,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK6,sK32(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_173680]) ).
tcf(c_199450,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK6,sK39(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_173680]) ).
tcf(c_199451,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK6,sK38(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_173680]) ).
tcf(c_199452,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK6,sK37(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_173680]) ).
tcf(c_199453,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK6,sK44(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_173680]) ).
tcf(c_199454,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK6,sK43(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_173680]) ).
tcf(c_199455,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK6,sK42(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_173680]) ).
tcf(c_199456,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(cons(sK6,sK48(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_173680]) ).
tcf(c_199457,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(cons(sK6,sK47(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_173680]) ).
tcf(c_199458,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK6,cons(X0,X1))) = sK6 )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_173680]) ).
tcf(c_199459,plain,
hd(cons(sK6,nil)) = sK6,
inference(superposition,[status(thm)],[c_141,c_173680]) ).
tcf(c_199460,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK6,sK49(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_173680]) ).
tcf(c_199461,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK6,tl(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_173680]) ).
tcf(c_199462,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK6,sK52(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_173680]) ).
tcf(c_199463,plain,
hd(cons(sK6,sK60)) = sK6,
inference(superposition,[status(thm)],[c_12927,c_173680]) ).
tcf(c_199464,plain,
hd(cons(sK6,sK59)) = sK6,
inference(superposition,[status(thm)],[c_12926,c_173680]) ).
tcf(c_199465,plain,
hd(cons(sK6,sK56)) = sK6,
inference(superposition,[status(thm)],[c_12924,c_173680]) ).
tcf(c_199466,plain,
hd(cons(sK6,iPr_def_13)) = sK6,
inference(superposition,[status(thm)],[c_172129,c_173680]) ).
tcf(c_199467,plain,
hd(cons(sK6,iPr_def_11)) = sK6,
inference(superposition,[status(thm)],[c_172791,c_173680]) ).
tcf(c_199468,plain,
hd(cons(sK6,iPr_def_12)) = sK6,
inference(superposition,[status(thm)],[c_172792,c_173680]) ).
tcf(c_199469,plain,
hd(cons(sK6,iPr_def_10)) = sK6,
inference(superposition,[status(thm)],[c_172620,c_173680]) ).
tcf(c_199470,plain,
hd(cons(sK6,cons(sK57,sK60))) = sK6,
inference(superposition,[status(thm)],[c_198667,c_173680]) ).
tcf(c_199471,plain,
( ( nil = sK60 )
| ( hd(cons(sK6,tl(sK60))) = sK6 ) ),
inference(superposition,[status(thm)],[c_175037,c_173680]) ).
tcf(c_199472,plain,
( ( nil = sK59 )
| ( hd(cons(sK6,tl(sK59))) = sK6 ) ),
inference(superposition,[status(thm)],[c_175432,c_173680]) ).
tcf(c_199473,plain,
( ( nil = sK56 )
| ( hd(cons(sK6,tl(sK56))) = sK6 ) ),
inference(superposition,[status(thm)],[c_175478,c_173680]) ).
tcf(c_199474,plain,
hd(cons(sK6,tl(iPr_def_13))) = sK6,
inference(superposition,[status(thm)],[c_181732,c_173680]) ).
tcf(c_199475,plain,
hd(cons(sK6,tl(iPr_def_11))) = sK6,
inference(superposition,[status(thm)],[c_182529,c_173680]) ).
tcf(c_199476,plain,
hd(cons(sK6,tl(iPr_def_12))) = sK6,
inference(superposition,[status(thm)],[c_183724,c_173680]) ).
tcf(c_199477,plain,
hd(cons(sK6,cons(sK57,app(sK60,sK60)))) = sK6,
inference(superposition,[status(thm)],[c_198025,c_173680]) ).
tcf(c_199478,plain,
hd(cons(sK6,cons(sK57,app(sK59,sK60)))) = sK6,
inference(superposition,[status(thm)],[c_198362,c_173680]) ).
tcf(c_199479,plain,
hd(cons(sK6,cons(sK57,app(sK56,sK60)))) = sK6,
inference(superposition,[status(thm)],[c_199136,c_173680]) ).
tcf(c_199658,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_199459,c_223]) ).
tcf(c_199659,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_199459,c_212]) ).
tcf(c_199660,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_199459,c_206]) ).
tcf(c_199694,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_199463,c_223]) ).
tcf(c_199695,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_199463,c_212]) ).
tcf(c_199696,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_199463,c_206]) ).
tcf(c_199718,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_199464,c_223]) ).
tcf(c_199719,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_199464,c_212]) ).
tcf(c_199720,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_199464,c_206]) ).
tcf(c_199742,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_199465,c_223]) ).
tcf(c_199743,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_199465,c_212]) ).
tcf(c_199744,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_199465,c_206]) ).
tcf(c_199969,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_198690,c_173]) ).
tcf(c_199970,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_198690,c_174]) ).
tcf(c_199971,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_198690,c_63]) ).
tcf(c_199972,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_198690,c_178]) ).
tcf(c_199973,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_198690,c_179]) ).
tcf(c_199975,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_199971,c_198667]) ).
tcf(c_199979,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_199970,c_198667]) ).
tcf(c_199984,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_199969,c_198667]) ).
tcf(c_199990,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_199973,c_12927,c_12925]) ).
tcf(c_199996,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_199972,c_12927,c_12925]) ).
tcf(c_200002,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_199033,c_67]) ).
tcf(c_200005,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_199033,c_167]) ).
tcf(c_200008,plain,
( frontsegP(cons(sK57,sK60),sK12(cons(sK57,sK60),sK60))
| ~ ssList(sK60)
| ~ ssList(sK12(cons(sK57,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_199033,c_378]) ).
tcf(c_200011,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_199033,c_225]) ).
tcf(c_200012,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_199033,c_226]) ).
tcf(c_200013,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_199033,c_176]) ).
tcf(c_200014,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_199033,c_165]) ).
tcf(c_200015,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_199033,c_193]) ).
tcf(c_200016,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_199033,c_186]) ).
tcf(c_200017,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_199033,c_166]) ).
tcf(c_200018,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_199033,c_185907]) ).
tcf(c_200020,plain,
( frontsegP(cons(sK57,sK60),sK12(cons(sK57,sK60),sK60))
| ~ ssList(sK12(cons(sK57,sK60),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200008,c_12927]) ).
tcf(c_200028,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_200014,c_12927]) ).
tcf(c_200033,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_200013,c_12927]) ).
tcf(c_200039,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_200005,c_12927]) ).
tcf(c_200045,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_200012,c_12927]) ).
tcf(c_200050,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_200011,c_12927]) ).
tcf(c_200055,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_200002,c_199033]) ).
tcf(c_200056,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_200055,c_12927]) ).
tcf(c_200061,plain,
~ rearsegP(sK60,cons(sK57,sK60)),
inference(global_subsumption_just,[status(thm)],[c_199034,c_44376,c_44590]) ).
tcf(c_200063,plain,
rearsegP(cons(sK57,app(sK56,sK60)),sK60),
inference(global_subsumption_just,[status(thm)],[c_199068,c_44047,c_49784]) ).
tcf(c_200065,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_200063,c_183]) ).
tcf(c_200066,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_200063,c_184]) ).
tcf(c_200067,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_200063,c_66]) ).
tcf(c_200068,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK60)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200065,c_12927,c_199136]) ).
tcf(c_200072,plain,
app(sK12(cons(sK57,app(sK56,sK60)),sK60),sK60) = cons(sK57,app(sK56,sK60)),
inference(forward_subsumption_resolution,[status(thm)],[c_200067,c_12927,c_199136]) ).
tcf(c_200073,plain,
( ( cons(sK57,app(sK56,sK60)) = sK60 )
| ~ rearsegP(sK60,cons(sK57,app(sK56,sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200066,c_12927,c_199136]) ).
tcf(c_200076,plain,
frontsegP(cons(sK57,app(sK60,sK60)),cons(sK57,sK60)),
inference(global_subsumption_just,[status(thm)],[c_197948,c_43193,c_44373]) ).
tcf(c_200079,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_200076,c_174]) ).
tcf(c_200080,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_200076,c_63]) ).
tcf(c_200082,plain,
( frontsegP(app(sK60,sK60),sK60)
| ~ ssList(sK60)
| ~ ssItem(sK57)
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_200076,c_179]) ).
tcf(c_200083,plain,
( frontsegP(app(sK60,sK60),sK60)
| ~ ssList(app(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200082,c_12927,c_12925]) ).
tcf(c_200086,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_200080,c_198667,c_198025]) ).
tcf(c_200087,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_200079,c_198667,c_198025]) ).
tcf(c_200094,plain,
! [X0: $i] :
( frontsegP(app(sK60,sK60),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ frontsegP(sK60,X0)
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_200083,c_173]) ).
tcf(c_200095,plain,
( ( app(sK60,sK60) = sK60 )
| ~ ssList(sK60)
| ~ ssList(app(sK60,sK60))
| ~ frontsegP(sK60,app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_200083,c_174]) ).
tcf(c_200096,plain,
( ( app(sK60,sK11(app(sK60,sK60),sK60)) = app(sK60,sK60) )
| ~ ssList(sK60)
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_200083,c_63]) ).
tcf(c_200097,plain,
( ( app(sK60,sK11(app(sK60,sK60),sK60)) = app(sK60,sK60) )
| ~ ssList(app(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200096,c_12927]) ).
tcf(c_200100,plain,
( ( app(sK60,sK60) = sK60 )
| ~ ssList(app(sK60,sK60))
| ~ frontsegP(sK60,app(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200095,c_12927]) ).
tcf(c_200104,plain,
! [X0: $i] :
( frontsegP(app(sK60,sK60),X0)
| ~ ssList(X0)
| ~ frontsegP(sK60,X0)
| ~ ssList(app(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200094,c_12927]) ).
tcf(c_200109,plain,
frontsegP(cons(sK57,app(sK59,sK60)),cons(sK57,sK59)),
inference(global_subsumption_just,[status(thm)],[c_198190,c_43791,c_45941]) ).
tcf(c_200112,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_200109,c_174]) ).
tcf(c_200113,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_200109,c_63]) ).
tcf(c_200115,plain,
( frontsegP(app(sK59,sK60),sK59)
| ~ ssList(sK59)
| ~ ssItem(sK57)
| ~ ssList(app(sK59,sK60)) ),
inference(superposition,[status(thm)],[c_200109,c_179]) ).
tcf(c_200116,plain,
( frontsegP(app(sK59,sK60),sK59)
| ~ ssList(app(sK59,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200115,c_12926,c_12925]) ).
tcf(c_200119,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_200113,c_198362]) ).
tcf(c_200122,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_200112,c_198362]) ).
tcf(c_200130,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK60),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK60)) ),
inference(superposition,[status(thm)],[c_200116,c_173]) ).
tcf(c_200131,plain,
( ( app(sK59,sK60) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK60))
| ~ frontsegP(sK59,app(sK59,sK60)) ),
inference(superposition,[status(thm)],[c_200116,c_174]) ).
tcf(c_200132,plain,
( ( app(sK59,sK11(app(sK59,sK60),sK59)) = app(sK59,sK60) )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK60)) ),
inference(superposition,[status(thm)],[c_200116,c_63]) ).
tcf(c_200133,plain,
( ( app(sK59,sK11(app(sK59,sK60),sK59)) = app(sK59,sK60) )
| ~ ssList(app(sK59,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200132,c_12926]) ).
tcf(c_200136,plain,
( ( app(sK59,sK60) = sK59 )
| ~ ssList(app(sK59,sK60))
| ~ frontsegP(sK59,app(sK59,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200131,c_12926]) ).
tcf(c_200140,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK60),X0)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200130,c_12926]) ).
tcf(c_200367,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_175444,c_67]) ).
tcf(c_200373,plain,
( frontsegP(sK49(tl(sK59)),sK49(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(nil)
| ~ ssList(sK49(tl(sK59))) ),
inference(superposition,[status(thm)],[c_175444,c_378]) ).
tcf(c_200374,plain,
( rearsegP(sK49(tl(sK59)),nil)
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(nil)
| ~ ssList(sK49(tl(sK59))) ),
inference(superposition,[status(thm)],[c_175444,c_375]) ).
tcf(c_200376,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_175444,c_225]) ).
tcf(c_200377,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_175444,c_226]) ).
tcf(c_200380,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_175444,c_193]) ).
tcf(c_200381,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_175444,c_186]) ).
tcf(c_200386,plain,
( rearsegP(sK49(tl(sK59)),nil)
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(sK49(tl(sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200374,c_141]) ).
tcf(c_200391,plain,
( frontsegP(sK49(tl(sK59)),sK49(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(sK49(tl(sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200373,c_141]) ).
tcf(c_200396,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_200381,c_141]) ).
tcf(c_200403,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_200380,c_141]) ).
tcf(c_200411,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_200377,c_141]) ).
tcf(c_200418,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_200376,c_141]) ).
tcf(c_200425,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_200367,c_141]) ).
tcf(c_200436,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_173681]) ).
tcf(c_200437,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_173681]) ).
tcf(c_200438,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK7,app(X0,X1))) = sK7 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_173681]) ).
tcf(c_200439,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_173681]) ).
tcf(c_200440,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_173681]) ).
tcf(c_200441,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_173681]) ).
tcf(c_200442,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_173681]) ).
tcf(c_200452,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK7,sK34(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_173681]) ).
tcf(c_200453,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK7,sK33(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_173681]) ).
tcf(c_200454,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK7,sK32(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_173681]) ).
tcf(c_200455,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK7,sK39(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_173681]) ).
tcf(c_200456,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK7,sK38(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_173681]) ).
tcf(c_200457,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK7,sK37(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_173681]) ).
tcf(c_200458,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK7,sK44(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_173681]) ).
tcf(c_200459,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK7,sK43(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_173681]) ).
tcf(c_200460,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK7,sK42(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_173681]) ).
tcf(c_200461,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(cons(sK7,sK48(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_173681]) ).
tcf(c_200462,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(cons(sK7,sK47(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_173681]) ).
tcf(c_200463,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK7,cons(X0,X1))) = sK7 )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_173681]) ).
tcf(c_200464,plain,
hd(cons(sK7,nil)) = sK7,
inference(superposition,[status(thm)],[c_141,c_173681]) ).
tcf(c_200465,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK7,sK49(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_173681]) ).
tcf(c_200466,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK7,tl(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_173681]) ).
tcf(c_200467,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK7,sK52(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_173681]) ).
tcf(c_200468,plain,
hd(cons(sK7,sK60)) = sK7,
inference(superposition,[status(thm)],[c_12927,c_173681]) ).
tcf(c_200469,plain,
hd(cons(sK7,sK59)) = sK7,
inference(superposition,[status(thm)],[c_12926,c_173681]) ).
tcf(c_200470,plain,
hd(cons(sK7,sK56)) = sK7,
inference(superposition,[status(thm)],[c_12924,c_173681]) ).
tcf(c_200471,plain,
hd(cons(sK7,iPr_def_13)) = sK7,
inference(superposition,[status(thm)],[c_172129,c_173681]) ).
tcf(c_200472,plain,
hd(cons(sK7,iPr_def_11)) = sK7,
inference(superposition,[status(thm)],[c_172791,c_173681]) ).
tcf(c_200473,plain,
hd(cons(sK7,iPr_def_12)) = sK7,
inference(superposition,[status(thm)],[c_172792,c_173681]) ).
tcf(c_200474,plain,
hd(cons(sK7,iPr_def_10)) = sK7,
inference(superposition,[status(thm)],[c_172620,c_173681]) ).
tcf(c_200475,plain,
hd(cons(sK7,cons(sK57,sK60))) = sK7,
inference(superposition,[status(thm)],[c_198667,c_173681]) ).
tcf(c_200476,plain,
( ( nil = sK60 )
| ( hd(cons(sK7,tl(sK60))) = sK7 ) ),
inference(superposition,[status(thm)],[c_175037,c_173681]) ).
tcf(c_200477,plain,
( ( nil = sK59 )
| ( hd(cons(sK7,tl(sK59))) = sK7 ) ),
inference(superposition,[status(thm)],[c_175432,c_173681]) ).
tcf(c_200478,plain,
( ( nil = sK56 )
| ( hd(cons(sK7,tl(sK56))) = sK7 ) ),
inference(superposition,[status(thm)],[c_175478,c_173681]) ).
tcf(c_200479,plain,
hd(cons(sK7,tl(iPr_def_13))) = sK7,
inference(superposition,[status(thm)],[c_181732,c_173681]) ).
tcf(c_200480,plain,
hd(cons(sK7,tl(iPr_def_11))) = sK7,
inference(superposition,[status(thm)],[c_182529,c_173681]) ).
tcf(c_200481,plain,
hd(cons(sK7,tl(iPr_def_12))) = sK7,
inference(superposition,[status(thm)],[c_183724,c_173681]) ).
tcf(c_200482,plain,
hd(cons(sK7,cons(sK57,app(sK60,sK60)))) = sK7,
inference(superposition,[status(thm)],[c_198025,c_173681]) ).
tcf(c_200483,plain,
hd(cons(sK7,cons(sK57,app(sK59,sK60)))) = sK7,
inference(superposition,[status(thm)],[c_198362,c_173681]) ).
tcf(c_200484,plain,
hd(cons(sK7,cons(sK57,app(sK56,sK60)))) = sK7,
inference(superposition,[status(thm)],[c_199136,c_173681]) ).
tcf(c_200653,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_200464,c_223]) ).
tcf(c_200654,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_200464,c_212]) ).
tcf(c_200655,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_200464,c_206]) ).
tcf(c_200677,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_200468,c_223]) ).
tcf(c_200678,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_200468,c_212]) ).
tcf(c_200679,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_200468,c_206]) ).
tcf(c_200701,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_200469,c_223]) ).
tcf(c_200702,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_200469,c_212]) ).
tcf(c_200703,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_200469,c_206]) ).
tcf(c_200725,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_199466,c_223]) ).
tcf(c_200726,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_199466,c_212]) ).
tcf(c_200727,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_199466,c_206]) ).
tcf(c_200749,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_199467,c_223]) ).
tcf(c_200750,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_199467,c_212]) ).
tcf(c_200751,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_199467,c_206]) ).
tcf(c_200773,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_199468,c_223]) ).
tcf(c_200774,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_199468,c_212]) ).
tcf(c_200775,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_199468,c_206]) ).
tcf(c_200797,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_199469,c_223]) ).
tcf(c_200798,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_199469,c_212]) ).
tcf(c_200799,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_199469,c_206]) ).
tcf(c_200821,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_200470,c_223]) ).
tcf(c_200822,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_200470,c_212]) ).
tcf(c_200823,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_200470,c_206]) ).
tcf(c_200843,plain,
frontsegP(cons(sK57,app(sK56,sK60)),cons(sK57,sK56)),
inference(global_subsumption_just,[status(thm)],[c_199071,c_44050,c_49784]) ).
tcf(c_200846,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_200843,c_174]) ).
tcf(c_200847,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_200843,c_63]) ).
tcf(c_200849,plain,
( frontsegP(app(sK56,sK60),sK56)
| ~ ssList(sK56)
| ~ ssItem(sK57)
| ~ ssList(app(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_200843,c_179]) ).
tcf(c_200850,plain,
( frontsegP(app(sK56,sK60),sK56)
| ~ ssList(app(sK56,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200849,c_12924,c_12925]) ).
tcf(c_200853,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_200847,c_199136]) ).
tcf(c_200856,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_200846,c_199136]) ).
tcf(c_200878,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK60),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_200850,c_173]) ).
tcf(c_200879,plain,
( ( app(sK56,sK60) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK60))
| ~ frontsegP(sK56,app(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_200850,c_174]) ).
tcf(c_200880,plain,
( ( app(sK56,sK11(app(sK56,sK60),sK56)) = app(sK56,sK60) )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_200850,c_63]) ).
tcf(c_200881,plain,
( ( app(sK56,sK11(app(sK56,sK60),sK56)) = app(sK56,sK60) )
| ~ ssList(app(sK56,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200880,c_12924]) ).
tcf(c_200884,plain,
( ( app(sK56,sK60) = sK56 )
| ~ ssList(app(sK56,sK60))
| ~ frontsegP(sK56,app(sK56,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200879,c_12924]) ).
tcf(c_200888,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK60),X0)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200878,c_12924]) ).
tcf(c_200899,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_199237,c_183]) ).
tcf(c_200900,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_199237,c_184]) ).
tcf(c_200901,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_199237,c_66]) ).
tcf(c_200902,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_200899,c_198025]) ).
tcf(c_200908,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_200901,c_198025]) ).
tcf(c_200912,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_200900,c_198025]) ).
tcf(c_200923,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_199321,c_183]) ).
tcf(c_200924,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_199321,c_184]) ).
tcf(c_200925,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_199321,c_66]) ).
tcf(c_200926,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_200923,c_198362]) ).
tcf(c_200932,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_200925,c_198362]) ).
tcf(c_200936,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_200924,c_198362]) ).
tcf(c_200947,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_200068,c_183]) ).
tcf(c_200948,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_200068,c_184]) ).
tcf(c_200949,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_200068,c_66]) ).
tcf(c_200950,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_200947,c_199136]) ).
tcf(c_200956,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_200949,c_199136]) ).
tcf(c_200960,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_200948,c_199136]) ).
tcf(c_200994,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_197353]) ).
tcf(c_200995,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_197353]) ).
tcf(c_200996,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_197353]) ).
tcf(c_200997,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_197353]) ).
tcf(c_200998,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_197353]) ).
tcf(c_200999,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_197353]) ).
tcf(c_201000,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_197353]) ).
tcf(c_201010,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_197353]) ).
tcf(c_201011,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_197353]) ).
tcf(c_201012,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_197353]) ).
tcf(c_201013,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_197353]) ).
tcf(c_201014,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_197353]) ).
tcf(c_201015,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_197353]) ).
tcf(c_201016,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_197353]) ).
tcf(c_201017,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_197353]) ).
tcf(c_201018,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_197353]) ).
tcf(c_201019,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_197353]) ).
tcf(c_201020,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_197353]) ).
tcf(c_201021,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_197353]) ).
tcf(c_201022,plain,
cons(sK57,app(nil,sK59)) = app(cons(sK57,nil),sK59),
inference(superposition,[status(thm)],[c_141,c_197353]) ).
tcf(c_201023,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_197353]) ).
tcf(c_201024,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_197353]) ).
tcf(c_201025,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_197353]) ).
tcf(c_201026,plain,
cons(sK57,app(sK60,sK59)) = app(cons(sK57,sK60),sK59),
inference(superposition,[status(thm)],[c_12927,c_197353]) ).
tcf(c_201027,plain,
cons(sK57,app(sK59,sK59)) = app(cons(sK57,sK59),sK59),
inference(superposition,[status(thm)],[c_12926,c_197353]) ).
tcf(c_201028,plain,
cons(sK57,app(sK56,sK59)) = app(cons(sK57,sK56),sK59),
inference(superposition,[status(thm)],[c_12924,c_197353]) ).
tcf(c_201029,plain,
cons(sK57,app(iPr_def_13,sK59)) = app(cons(sK57,iPr_def_13),sK59),
inference(superposition,[status(thm)],[c_172129,c_197353]) ).
tcf(c_201030,plain,
cons(sK57,app(iPr_def_11,sK59)) = app(cons(sK57,iPr_def_11),sK59),
inference(superposition,[status(thm)],[c_172791,c_197353]) ).
tcf(c_201031,plain,
cons(sK57,app(iPr_def_12,sK59)) = app(cons(sK57,iPr_def_12),sK59),
inference(superposition,[status(thm)],[c_172792,c_197353]) ).
tcf(c_201032,plain,
cons(sK57,app(iPr_def_10,sK59)) = app(cons(sK57,iPr_def_10),sK59),
inference(superposition,[status(thm)],[c_172620,c_197353]) ).
tcf(c_201033,plain,
cons(sK57,app(cons(sK57,sK60),sK59)) = app(cons(sK57,cons(sK57,sK60)),sK59),
inference(superposition,[status(thm)],[c_198667,c_197353]) ).
tcf(c_201034,plain,
( ( nil = sK60 )
| ( cons(sK57,app(tl(sK60),sK59)) = app(cons(sK57,tl(sK60)),sK59) ) ),
inference(superposition,[status(thm)],[c_175037,c_197353]) ).
tcf(c_201035,plain,
( ( nil = sK59 )
| ( cons(sK57,app(tl(sK59),sK59)) = app(cons(sK57,tl(sK59)),sK59) ) ),
inference(superposition,[status(thm)],[c_175432,c_197353]) ).
tcf(c_201036,plain,
( ( nil = sK56 )
| ( cons(sK57,app(tl(sK56),sK59)) = app(cons(sK57,tl(sK56)),sK59) ) ),
inference(superposition,[status(thm)],[c_175478,c_197353]) ).
tcf(c_201037,plain,
cons(sK57,app(tl(iPr_def_13),sK59)) = app(cons(sK57,tl(iPr_def_13)),sK59),
inference(superposition,[status(thm)],[c_181732,c_197353]) ).
tcf(c_201038,plain,
cons(sK57,app(tl(iPr_def_11),sK59)) = app(cons(sK57,tl(iPr_def_11)),sK59),
inference(superposition,[status(thm)],[c_182529,c_197353]) ).
tcf(c_201039,plain,
cons(sK57,app(tl(iPr_def_12),sK59)) = app(cons(sK57,tl(iPr_def_12)),sK59),
inference(superposition,[status(thm)],[c_183724,c_197353]) ).
tcf(c_201040,plain,
cons(sK57,app(cons(sK57,app(sK60,sK60)),sK59)) = app(cons(sK57,cons(sK57,app(sK60,sK60))),sK59),
inference(superposition,[status(thm)],[c_198025,c_197353]) ).
tcf(c_201041,plain,
cons(sK57,app(cons(sK57,app(sK59,sK60)),sK59)) = app(cons(sK57,cons(sK57,app(sK59,sK60))),sK59),
inference(superposition,[status(thm)],[c_198362,c_197353]) ).
tcf(c_201042,plain,
cons(sK57,app(cons(sK57,app(sK56,sK60)),sK59)) = app(cons(sK57,cons(sK57,app(sK56,sK60))),sK59),
inference(superposition,[status(thm)],[c_199136,c_197353]) ).
tcf(c_201043,plain,
cons(sK57,sK59) = app(iPr_def_10,sK59),
inference(light_normalisation,[status(thm)],[c_201022,c_172468,c_195465]) ).
tcf(c_201357,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_201026,c_67]) ).
tcf(c_201360,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_201026,c_167]) ).
tcf(c_201361,plain,
( ( cons(sK57,sK60) = nil )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_201026,c_231]) ).
tcf(c_201362,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_201026,c_230]) ).
tcf(c_201363,plain,
( frontsegP(cons(sK57,app(sK60,sK59)),cons(sK57,sK60))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_201026,c_378]) ).
tcf(c_201364,plain,
( rearsegP(cons(sK57,app(sK60,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_201026,c_375]) ).
tcf(c_201365,plain,
( ssList(cons(sK57,app(sK60,sK59)))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_201026,c_153]) ).
tcf(c_201366,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_201026,c_225]) ).
tcf(c_201367,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_201026,c_226]) ).
tcf(c_201368,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_201026,c_176]) ).
tcf(c_201369,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_201026,c_165]) ).
tcf(c_201370,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_201026,c_193]) ).
tcf(c_201371,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_201026,c_186]) ).
tcf(c_201372,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_201026,c_166]) ).
tcf(c_201373,plain,
( ( cons(sK57,sK60) = nil )
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_201026,c_185895]) ).
tcf(c_201374,plain,
ssList(cons(sK57,app(sK60,sK59))),
inference(forward_subsumption_resolution,[status(thm)],[c_201365,c_12926,c_198667]) ).
tcf(c_201375,plain,
rearsegP(cons(sK57,app(sK60,sK59)),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_201364,c_12926,c_198667]) ).
tcf(c_201376,plain,
frontsegP(cons(sK57,app(sK60,sK59)),cons(sK57,sK60)),
inference(forward_subsumption_resolution,[status(thm)],[c_201363,c_12926,c_198667]) ).
tcf(c_201377,plain,
cons(sK57,app(sK60,sK59)) != sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_201373,c_198677,c_198667]) ).
tcf(c_201381,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK60,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201372,c_12926,c_198667]) ).
tcf(c_201385,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK60,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201371,c_12926,c_198667]) ).
tcf(c_201389,plain,
cons(sK57,app(sK60,sK59)) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_201361,c_198677,c_12926,c_198667]) ).
tcf(c_201390,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK60,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201369,c_12926,c_198667]) ).
tcf(c_201394,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK60,sK59)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201368,c_12926,c_198667]) ).
tcf(c_201398,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_201370,c_12926,c_198667]) ).
tcf(c_201403,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_201360,c_12926,c_198667]) ).
tcf(c_201408,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ( app(cons(sK57,sK60),X0) != cons(sK57,app(sK60,sK59)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201367,c_12926,c_198667]) ).
tcf(c_201412,plain,
! [X0: $i] :
( ( cons(sK57,sK60) = X0 )
| ~ ssList(X0)
| ( cons(sK57,app(sK60,sK59)) != app(X0,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201366,c_12926,c_198667]) ).
tcf(c_201416,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_201357,c_201026]) ).
tcf(c_201417,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_201416,c_12926,c_198667]) ).
tcf(c_201453,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_175446,c_67]) ).
tcf(c_201459,plain,
( frontsegP(cons(sK57,tl(sK59)),cons(sK57,tl(sK59)))
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(cons(sK57,tl(sK59))) ),
inference(superposition,[status(thm)],[c_175446,c_378]) ).
tcf(c_201460,plain,
( rearsegP(cons(sK57,tl(sK59)),nil)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(cons(sK57,tl(sK59))) ),
inference(superposition,[status(thm)],[c_175446,c_375]) ).
tcf(c_201462,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_175446,c_225]) ).
tcf(c_201463,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_175446,c_226]) ).
tcf(c_201466,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_175446,c_193]) ).
tcf(c_201467,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_175446,c_186]) ).
tcf(c_201472,plain,
( rearsegP(cons(sK57,tl(sK59)),nil)
| ( nil = sK59 )
| ~ ssList(cons(sK57,tl(sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201460,c_141]) ).
tcf(c_201476,plain,
( frontsegP(cons(sK57,tl(sK59)),cons(sK57,tl(sK59)))
| ( nil = sK59 )
| ~ ssList(cons(sK57,tl(sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201459,c_141]) ).
tcf(c_201480,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_201467,c_141]) ).
tcf(c_201486,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_201466,c_141]) ).
tcf(c_201493,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_201463,c_141]) ).
tcf(c_201499,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_201462,c_141]) ).
tcf(c_201505,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_201453,c_141]) ).
tcf(c_201531,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_201374,c_228]) ).
tcf(c_201532,plain,
cons(sK57,app(cons(sK57,app(sK60,sK59)),sK59)) = app(cons(sK57,cons(sK57,app(sK60,sK59))),sK59),
inference(superposition,[status(thm)],[c_201374,c_197353]) ).
tcf(c_201533,plain,
hd(cons(sK7,cons(sK57,app(sK60,sK59)))) = sK7,
inference(superposition,[status(thm)],[c_201374,c_173681]) ).
tcf(c_201534,plain,
hd(cons(sK6,cons(sK57,app(sK60,sK59)))) = sK6,
inference(superposition,[status(thm)],[c_201374,c_173680]) ).
tcf(c_201535,plain,
cons(sK57,app(cons(sK57,app(sK60,sK59)),sK60)) = app(cons(sK57,cons(sK57,app(sK60,sK59))),sK60),
inference(superposition,[status(thm)],[c_201374,c_197352]) ).
tcf(c_201536,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_201374,c_181813]) ).
tcf(c_201537,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK60,sK59))) = tl(app(sK56,cons(sK57,app(sK60,sK59)))) ) ),
inference(superposition,[status(thm)],[c_201374,c_180595]) ).
tcf(c_201538,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK60,sK59))) = tl(app(sK59,cons(sK57,app(sK60,sK59)))) ) ),
inference(superposition,[status(thm)],[c_201374,c_180594]) ).
tcf(c_201539,plain,
( ( nil = sK60 )
| ( app(tl(sK60),cons(sK57,app(sK60,sK59))) = tl(app(sK60,cons(sK57,app(sK60,sK59)))) ) ),
inference(superposition,[status(thm)],[c_201374,c_180593]) ).
tcf(c_201540,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_201374,c_124]) ).
tcf(c_201541,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_201374,c_116]) ).
tcf(c_201542,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_201374,c_108]) ).
tcf(c_201543,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK60,sK59)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_201374,c_178855]) ).
tcf(c_201544,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK60,sK59)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_201374,c_178854]) ).
tcf(c_201545,plain,
( ( nil = sK60 )
| ( hd(app(sK60,cons(sK57,app(sK60,sK59)))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_201374,c_178853]) ).
tcf(c_201546,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_201374,c_234]) ).
tcf(c_201547,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_201374,c_132]) ).
tcf(c_201548,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_201374,c_233]) ).
tcf(c_201549,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_201374,c_224]) ).
tcf(c_201550,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_201374,c_147]) ).
tcf(c_201551,plain,
( ( cons(sK57,app(sK60,sK59)) = nil )
| ( tl(cons(sK57,app(sK60,sK59))) = sK52(cons(sK57,app(sK60,sK59))) ) ),
inference(superposition,[status(thm)],[c_201374,c_222]) ).
tcf(c_201552,plain,
( ( cons(sK57,app(sK60,sK59)) = nil )
| ( hd(cons(sK57,app(sK60,sK59))) = sK51(cons(sK57,app(sK60,sK59))) ) ),
inference(superposition,[status(thm)],[c_201374,c_220]) ).
tcf(c_201553,plain,
app(nil,cons(sK57,cons(sK57,app(sK60,sK59)))) = cons(sK57,cons(sK57,app(sK60,sK59))),
inference(superposition,[status(thm)],[c_201374,c_173183]) ).
tcf(c_201554,plain,
tl(cons(sK57,cons(sK57,app(sK60,sK59)))) = cons(sK57,app(sK60,sK59)),
inference(superposition,[status(thm)],[c_201374,c_173821]) ).
tcf(c_201555,plain,
hd(cons(sK57,cons(sK57,app(sK60,sK59)))) = sK57,
inference(superposition,[status(thm)],[c_201374,c_173700]) ).
tcf(c_201556,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_201374,c_172633]) ).
tcf(c_201557,plain,
( duplicatefreeP(cons(sK57,app(sK60,sK59)))
| ( sK40(cons(sK57,app(sK60,sK59))) = sK41(cons(sK57,app(sK60,sK59))) ) ),
inference(superposition,[status(thm)],[c_201374,c_123]) ).
tcf(c_201558,plain,
app(cons(sK57,cons(sK57,app(sK60,sK59))),nil) = cons(sK57,cons(sK57,app(sK60,sK59))),
inference(superposition,[status(thm)],[c_201374,c_172683]) ).
tcf(c_201559,plain,
app(cons(sK57,app(sK60,sK59)),nil) = cons(sK57,app(sK60,sK59)),
inference(superposition,[status(thm)],[c_201374,c_232]) ).
tcf(c_201560,plain,
app(nil,cons(sK57,app(sK60,sK59))) = cons(sK57,app(sK60,sK59)),
inference(superposition,[status(thm)],[c_201374,c_155]) ).
tcf(c_201761,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_201375,c_183]) ).
tcf(c_201762,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_201375,c_184]) ).
tcf(c_201763,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_201375,c_66]) ).
tcf(c_201765,plain,
app(sK12(cons(sK57,app(sK60,sK59)),sK59),sK59) = cons(sK57,app(sK60,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_201763,c_12926,c_201374]) ).
tcf(c_201766,plain,
( ( cons(sK57,app(sK60,sK59)) = sK59 )
| ~ rearsegP(sK59,cons(sK57,app(sK60,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201762,c_12926,c_201374]) ).
tcf(c_201779,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_201376,c_173]) ).
tcf(c_201780,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_201376,c_174]) ).
tcf(c_201781,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_201376,c_63]) ).
tcf(c_201783,plain,
( frontsegP(app(sK60,sK59),sK60)
| ~ ssList(sK60)
| ~ ssItem(sK57)
| ~ ssList(app(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_201376,c_179]) ).
tcf(c_201784,plain,
( frontsegP(app(sK60,sK59),sK60)
| ~ ssList(app(sK60,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201783,c_12927,c_12925]) ).
tcf(c_201788,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_201781,c_198667,c_201374]) ).
tcf(c_201789,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_201780,c_198667,c_201374]) ).
tcf(c_201795,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_200471,c_223]) ).
tcf(c_201796,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_200471,c_212]) ).
tcf(c_201797,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_200471,c_206]) ).
tcf(c_201822,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_200472,c_223]) ).
tcf(c_201823,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_200472,c_212]) ).
tcf(c_201824,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_200472,c_206]) ).
tcf(c_201862,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_200473,c_223]) ).
tcf(c_201863,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_200473,c_212]) ).
tcf(c_201864,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_200473,c_206]) ).
tcf(c_201890,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_200474,c_223]) ).
tcf(c_201891,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_200474,c_212]) ).
tcf(c_201892,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_200474,c_206]) ).
tcf(c_201954,plain,
! [X0: $i] :
( frontsegP(app(sK60,sK59),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ frontsegP(sK60,X0)
| ~ ssList(app(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_201784,c_173]) ).
tcf(c_201955,plain,
( ( app(sK60,sK59) = sK60 )
| ~ ssList(sK60)
| ~ ssList(app(sK60,sK59))
| ~ frontsegP(sK60,app(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_201784,c_174]) ).
tcf(c_201956,plain,
( ( app(sK60,sK11(app(sK60,sK59),sK60)) = app(sK60,sK59) )
| ~ ssList(sK60)
| ~ ssList(app(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_201784,c_63]) ).
tcf(c_201957,plain,
( ( app(sK60,sK11(app(sK60,sK59),sK60)) = app(sK60,sK59) )
| ~ ssList(app(sK60,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201956,c_12927]) ).
tcf(c_201960,plain,
( ( app(sK60,sK59) = sK60 )
| ~ ssList(app(sK60,sK59))
| ~ frontsegP(sK60,app(sK60,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201955,c_12927]) ).
tcf(c_201964,plain,
! [X0: $i] :
( frontsegP(app(sK60,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(sK60,X0)
| ~ ssList(app(sK60,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201954,c_12927]) ).
tcf(c_202044,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_201027,c_67]) ).
tcf(c_202047,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_201027,c_167]) ).
tcf(c_202048,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_201027,c_231]) ).
tcf(c_202049,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_201027,c_230]) ).
tcf(c_202050,plain,
( frontsegP(cons(sK57,app(sK59,sK59)),cons(sK57,sK59))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_201027,c_378]) ).
tcf(c_202051,plain,
( rearsegP(cons(sK57,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_201027,c_375]) ).
tcf(c_202052,plain,
( ssList(cons(sK57,app(sK59,sK59)))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_201027,c_153]) ).
tcf(c_202053,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_201027,c_225]) ).
tcf(c_202054,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_201027,c_226]) ).
tcf(c_202055,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_201027,c_176]) ).
tcf(c_202056,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_201027,c_165]) ).
tcf(c_202057,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_201027,c_193]) ).
tcf(c_202058,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_201027,c_186]) ).
tcf(c_202059,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_201027,c_166]) ).
tcf(c_202060,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_201027,c_185895]) ).
tcf(c_202061,plain,
( ssList(cons(sK57,app(sK59,sK59)))
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202052,c_12926]) ).
tcf(c_202064,plain,
( rearsegP(cons(sK57,app(sK59,sK59)),sK59)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202051,c_12926]) ).
tcf(c_202067,plain,
( frontsegP(cons(sK57,app(sK59,sK59)),cons(sK57,sK59))
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202050,c_12926]) ).
tcf(c_202073,plain,
( ( nil = sK59 )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202049,c_12926]) ).
tcf(c_202077,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_202059,c_12926]) ).
tcf(c_202082,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_202058,c_12926]) ).
tcf(c_202087,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202048,c_12926]) ).
tcf(c_202091,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_202056,c_12926]) ).
tcf(c_202096,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_202055,c_12926]) ).
tcf(c_202101,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_202057,c_12926]) ).
tcf(c_202107,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_202047,c_12926]) ).
tcf(c_202113,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_202054,c_12926]) ).
tcf(c_202118,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_202053,c_12926]) ).
tcf(c_202123,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_202044,c_201027]) ).
tcf(c_202124,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_202123,c_12926]) ).
tcf(c_202138,plain,
ssList(cons(sK57,app(sK59,sK59))),
inference(global_subsumption_just,[status(thm)],[c_202061,c_46477]) ).
tcf(c_202140,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_202138,c_228]) ).
tcf(c_202141,plain,
cons(sK57,app(cons(sK57,app(sK59,sK59)),sK59)) = app(cons(sK57,cons(sK57,app(sK59,sK59))),sK59),
inference(superposition,[status(thm)],[c_202138,c_197353]) ).
tcf(c_202142,plain,
hd(cons(sK7,cons(sK57,app(sK59,sK59)))) = sK7,
inference(superposition,[status(thm)],[c_202138,c_173681]) ).
tcf(c_202143,plain,
hd(cons(sK6,cons(sK57,app(sK59,sK59)))) = sK6,
inference(superposition,[status(thm)],[c_202138,c_173680]) ).
tcf(c_202144,plain,
cons(sK57,app(cons(sK57,app(sK59,sK59)),sK60)) = app(cons(sK57,cons(sK57,app(sK59,sK59))),sK60),
inference(superposition,[status(thm)],[c_202138,c_197352]) ).
tcf(c_202145,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_202138,c_181813]) ).
tcf(c_202146,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK59,sK59))) = tl(app(sK56,cons(sK57,app(sK59,sK59)))) ) ),
inference(superposition,[status(thm)],[c_202138,c_180595]) ).
tcf(c_202147,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK59,sK59))) = tl(app(sK59,cons(sK57,app(sK59,sK59)))) ) ),
inference(superposition,[status(thm)],[c_202138,c_180594]) ).
tcf(c_202148,plain,
( ( nil = sK60 )
| ( app(tl(sK60),cons(sK57,app(sK59,sK59))) = tl(app(sK60,cons(sK57,app(sK59,sK59)))) ) ),
inference(superposition,[status(thm)],[c_202138,c_180593]) ).
tcf(c_202149,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_202138,c_124]) ).
tcf(c_202150,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_202138,c_116]) ).
tcf(c_202151,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_202138,c_108]) ).
tcf(c_202152,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK59,sK59)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_202138,c_178855]) ).
tcf(c_202153,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK59,sK59)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_202138,c_178854]) ).
tcf(c_202154,plain,
( ( nil = sK60 )
| ( hd(app(sK60,cons(sK57,app(sK59,sK59)))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_202138,c_178853]) ).
tcf(c_202155,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_202138,c_234]) ).
tcf(c_202156,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_202138,c_132]) ).
tcf(c_202157,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_202138,c_233]) ).
tcf(c_202158,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_202138,c_224]) ).
tcf(c_202159,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_202138,c_147]) ).
tcf(c_202160,plain,
( ( cons(sK57,app(sK59,sK59)) = nil )
| ( tl(cons(sK57,app(sK59,sK59))) = sK52(cons(sK57,app(sK59,sK59))) ) ),
inference(superposition,[status(thm)],[c_202138,c_222]) ).
tcf(c_202161,plain,
( ( cons(sK57,app(sK59,sK59)) = nil )
| ( hd(cons(sK57,app(sK59,sK59))) = sK51(cons(sK57,app(sK59,sK59))) ) ),
inference(superposition,[status(thm)],[c_202138,c_220]) ).
tcf(c_202162,plain,
app(nil,cons(sK57,cons(sK57,app(sK59,sK59)))) = cons(sK57,cons(sK57,app(sK59,sK59))),
inference(superposition,[status(thm)],[c_202138,c_173183]) ).
tcf(c_202163,plain,
tl(cons(sK57,cons(sK57,app(sK59,sK59)))) = cons(sK57,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_202138,c_173821]) ).
tcf(c_202164,plain,
hd(cons(sK57,cons(sK57,app(sK59,sK59)))) = sK57,
inference(superposition,[status(thm)],[c_202138,c_173700]) ).
tcf(c_202165,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_202138,c_172633]) ).
tcf(c_202166,plain,
( duplicatefreeP(cons(sK57,app(sK59,sK59)))
| ( sK40(cons(sK57,app(sK59,sK59))) = sK41(cons(sK57,app(sK59,sK59))) ) ),
inference(superposition,[status(thm)],[c_202138,c_123]) ).
tcf(c_202167,plain,
app(cons(sK57,cons(sK57,app(sK59,sK59))),nil) = cons(sK57,cons(sK57,app(sK59,sK59))),
inference(superposition,[status(thm)],[c_202138,c_172683]) ).
tcf(c_202168,plain,
app(cons(sK57,app(sK59,sK59)),nil) = cons(sK57,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_202138,c_232]) ).
tcf(c_202169,plain,
app(nil,cons(sK57,app(sK59,sK59))) = cons(sK57,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_202138,c_155]) ).
tcf(c_202381,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_201028,c_67]) ).
tcf(c_202384,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_201028,c_167]) ).
tcf(c_202385,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_201028,c_231]) ).
tcf(c_202386,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_201028,c_230]) ).
tcf(c_202387,plain,
( frontsegP(cons(sK57,app(sK56,sK59)),cons(sK57,sK56))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_201028,c_378]) ).
tcf(c_202388,plain,
( rearsegP(cons(sK57,app(sK56,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_201028,c_375]) ).
tcf(c_202389,plain,
( ssList(cons(sK57,app(sK56,sK59)))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_201028,c_153]) ).
tcf(c_202390,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_201028,c_225]) ).
tcf(c_202391,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_201028,c_226]) ).
tcf(c_202392,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_201028,c_176]) ).
tcf(c_202393,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_201028,c_165]) ).
tcf(c_202394,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_201028,c_193]) ).
tcf(c_202395,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_201028,c_186]) ).
tcf(c_202396,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_201028,c_166]) ).
tcf(c_202397,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_201028,c_185895]) ).
tcf(c_202398,plain,
( ssList(cons(sK57,app(sK56,sK59)))
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202389,c_12926]) ).
tcf(c_202401,plain,
( rearsegP(cons(sK57,app(sK56,sK59)),sK59)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202388,c_12926]) ).
tcf(c_202404,plain,
( frontsegP(cons(sK57,app(sK56,sK59)),cons(sK57,sK56))
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202387,c_12926]) ).
tcf(c_202410,plain,
( ( nil = sK59 )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202386,c_12926]) ).
tcf(c_202414,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_202396,c_12926]) ).
tcf(c_202419,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_202395,c_12926]) ).
tcf(c_202424,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202385,c_12926]) ).
tcf(c_202428,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_202393,c_12926]) ).
tcf(c_202433,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_202392,c_12926]) ).
tcf(c_202438,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_202394,c_12926]) ).
tcf(c_202444,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_202384,c_12926]) ).
tcf(c_202450,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_202391,c_12926]) ).
tcf(c_202455,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_202390,c_12926]) ).
tcf(c_202460,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_202381,c_201028]) ).
tcf(c_202461,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_202460,c_12926]) ).
tcf(c_202532,plain,
ssList(cons(sK57,app(sK56,sK59))),
inference(global_subsumption_just,[status(thm)],[c_202398,c_47053,c_49784]) ).
tcf(c_202534,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_202532,c_228]) ).
tcf(c_202535,plain,
cons(sK57,app(cons(sK57,app(sK56,sK59)),sK59)) = app(cons(sK57,cons(sK57,app(sK56,sK59))),sK59),
inference(superposition,[status(thm)],[c_202532,c_197353]) ).
tcf(c_202536,plain,
hd(cons(sK7,cons(sK57,app(sK56,sK59)))) = sK7,
inference(superposition,[status(thm)],[c_202532,c_173681]) ).
tcf(c_202537,plain,
hd(cons(sK6,cons(sK57,app(sK56,sK59)))) = sK6,
inference(superposition,[status(thm)],[c_202532,c_173680]) ).
tcf(c_202538,plain,
cons(sK57,app(cons(sK57,app(sK56,sK59)),sK60)) = app(cons(sK57,cons(sK57,app(sK56,sK59))),sK60),
inference(superposition,[status(thm)],[c_202532,c_197352]) ).
tcf(c_202539,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_202532,c_181813]) ).
tcf(c_202540,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK56,sK59))) = tl(app(sK56,cons(sK57,app(sK56,sK59)))) ) ),
inference(superposition,[status(thm)],[c_202532,c_180595]) ).
tcf(c_202541,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK56,sK59))) = tl(app(sK59,cons(sK57,app(sK56,sK59)))) ) ),
inference(superposition,[status(thm)],[c_202532,c_180594]) ).
tcf(c_202542,plain,
( ( nil = sK60 )
| ( app(tl(sK60),cons(sK57,app(sK56,sK59))) = tl(app(sK60,cons(sK57,app(sK56,sK59)))) ) ),
inference(superposition,[status(thm)],[c_202532,c_180593]) ).
tcf(c_202543,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_202532,c_124]) ).
tcf(c_202544,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_202532,c_116]) ).
tcf(c_202545,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_202532,c_108]) ).
tcf(c_202546,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK56,sK59)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_202532,c_178855]) ).
tcf(c_202547,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK56,sK59)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_202532,c_178854]) ).
tcf(c_202548,plain,
( ( nil = sK60 )
| ( hd(app(sK60,cons(sK57,app(sK56,sK59)))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_202532,c_178853]) ).
tcf(c_202549,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_202532,c_234]) ).
tcf(c_202550,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_202532,c_132]) ).
tcf(c_202551,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_202532,c_233]) ).
tcf(c_202552,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_202532,c_224]) ).
tcf(c_202553,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_202532,c_147]) ).
tcf(c_202554,plain,
( ( cons(sK57,app(sK56,sK59)) = nil )
| ( tl(cons(sK57,app(sK56,sK59))) = sK52(cons(sK57,app(sK56,sK59))) ) ),
inference(superposition,[status(thm)],[c_202532,c_222]) ).
tcf(c_202555,plain,
( ( cons(sK57,app(sK56,sK59)) = nil )
| ( hd(cons(sK57,app(sK56,sK59))) = sK51(cons(sK57,app(sK56,sK59))) ) ),
inference(superposition,[status(thm)],[c_202532,c_220]) ).
tcf(c_202556,plain,
app(nil,cons(sK57,cons(sK57,app(sK56,sK59)))) = cons(sK57,cons(sK57,app(sK56,sK59))),
inference(superposition,[status(thm)],[c_202532,c_173183]) ).
tcf(c_202557,plain,
tl(cons(sK57,cons(sK57,app(sK56,sK59)))) = cons(sK57,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_202532,c_173821]) ).
tcf(c_202558,plain,
hd(cons(sK57,cons(sK57,app(sK56,sK59)))) = sK57,
inference(superposition,[status(thm)],[c_202532,c_173700]) ).
tcf(c_202559,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_202532,c_172633]) ).
tcf(c_202560,plain,
( duplicatefreeP(cons(sK57,app(sK56,sK59)))
| ( sK40(cons(sK57,app(sK56,sK59))) = sK41(cons(sK57,app(sK56,sK59))) ) ),
inference(superposition,[status(thm)],[c_202532,c_123]) ).
tcf(c_202561,plain,
app(cons(sK57,cons(sK57,app(sK56,sK59))),nil) = cons(sK57,cons(sK57,app(sK56,sK59))),
inference(superposition,[status(thm)],[c_202532,c_172683]) ).
tcf(c_202562,plain,
app(cons(sK57,app(sK56,sK59)),nil) = cons(sK57,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_202532,c_232]) ).
tcf(c_202563,plain,
app(nil,cons(sK57,app(sK56,sK59))) = cons(sK57,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_202532,c_155]) ).
tcf(c_202954,plain,
rearsegP(cons(sK57,app(sK59,sK59)),sK59),
inference(global_subsumption_just,[status(thm)],[c_202064,c_46478]) ).
tcf(c_202956,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_202954,c_183]) ).
tcf(c_202957,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_202954,c_184]) ).
tcf(c_202958,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_202954,c_66]) ).
tcf(c_202959,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202956,c_12926,c_202138]) ).
tcf(c_202963,plain,
app(sK12(cons(sK57,app(sK59,sK59)),sK59),sK59) = cons(sK57,app(sK59,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_202958,c_12926,c_202138]) ).
tcf(c_202964,plain,
( ( cons(sK57,app(sK59,sK59)) = sK59 )
| ~ rearsegP(sK59,cons(sK57,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202957,c_12926,c_202138]) ).
tcf(c_202969,plain,
rearsegP(cons(sK57,app(sK56,sK59)),sK59),
inference(global_subsumption_just,[status(thm)],[c_202401,c_47056,c_49784]) ).
tcf(c_202971,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_202969,c_183]) ).
tcf(c_202972,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_202969,c_184]) ).
tcf(c_202973,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_202969,c_66]) ).
tcf(c_202974,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202971,c_12926,c_202532]) ).
tcf(c_202978,plain,
app(sK12(cons(sK57,app(sK56,sK59)),sK59),sK59) = cons(sK57,app(sK56,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_202973,c_12926,c_202532]) ).
tcf(c_202979,plain,
( ( cons(sK57,app(sK56,sK59)) = sK59 )
| ~ rearsegP(sK59,cons(sK57,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202972,c_12926,c_202532]) ).
tcf(c_202997,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_201381,c_57]) ).
tcf(c_202998,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_201381,c_170]) ).
tcf(c_202999,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_202998,c_12925]) ).
tcf(c_203005,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_202997,c_201374]) ).
tcf(c_203013,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_175447,c_67]) ).
tcf(c_203019,plain,
( frontsegP(tl(sK59),tl(sK59))
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(tl(sK59)) ),
inference(superposition,[status(thm)],[c_175447,c_378]) ).
tcf(c_203020,plain,
( rearsegP(tl(sK59),nil)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(tl(sK59)) ),
inference(superposition,[status(thm)],[c_175447,c_375]) ).
tcf(c_203022,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_175447,c_225]) ).
tcf(c_203023,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_175447,c_226]) ).
tcf(c_203026,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_175447,c_193]) ).
tcf(c_203027,plain,
! [X0: $i] :
( rearsegP(tl(sK59),X0)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_175447,c_186]) ).
tcf(c_203028,plain,
! [X0: $i] :
( memberP(tl(sK59),X0)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(tl(sK59))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_175447,c_166]) ).
tcf(c_203032,plain,
( rearsegP(tl(sK59),nil)
| ( nil = sK59 )
| ~ ssList(tl(sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203020,c_141]) ).
tcf(c_203036,plain,
( frontsegP(tl(sK59),tl(sK59))
| ( nil = sK59 )
| ~ ssList(tl(sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203019,c_141]) ).
tcf(c_203040,plain,
! [X0: $i] :
( memberP(tl(sK59),X0)
| ( nil = sK59 )
| ~ ssItem(X0)
| ~ ssList(tl(sK59))
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203028,c_141]) ).
tcf(c_203046,plain,
! [X0: $i] :
( rearsegP(tl(sK59),X0)
| ( nil = sK59 )
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203027,c_141]) ).
tcf(c_203052,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_203026,c_141]) ).
tcf(c_203059,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_203023,c_141]) ).
tcf(c_203065,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_203022,c_141]) ).
tcf(c_203071,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_203013,c_141]) ).
tcf(c_203128,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_173801]) ).
tcf(c_203129,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_173801]) ).
tcf(c_203130,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_173801]) ).
tcf(c_203131,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_173801]) ).
tcf(c_203132,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_173801]) ).
tcf(c_203133,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_173801]) ).
tcf(c_203134,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_173801]) ).
tcf(c_203144,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK6,sK34(X0))) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_173801]) ).
tcf(c_203145,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK6,sK33(X0))) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_173801]) ).
tcf(c_203146,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK6,sK32(X0))) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_173801]) ).
tcf(c_203147,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK6,sK39(X0))) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_173801]) ).
tcf(c_203148,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK6,sK38(X0))) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_173801]) ).
tcf(c_203149,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK6,sK37(X0))) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_173801]) ).
tcf(c_203150,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK6,sK44(X0))) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_173801]) ).
tcf(c_203151,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK6,sK43(X0))) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_173801]) ).
tcf(c_203152,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK6,sK42(X0))) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_173801]) ).
tcf(c_203153,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( tl(cons(sK6,sK48(X0))) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_173801]) ).
tcf(c_203154,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( tl(cons(sK6,sK47(X0))) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_173801]) ).
tcf(c_203155,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_173801]) ).
tcf(c_203156,plain,
tl(cons(sK6,nil)) = nil,
inference(superposition,[status(thm)],[c_141,c_173801]) ).
tcf(c_203157,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK6,sK49(X0))) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_173801]) ).
tcf(c_203158,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK6,tl(X0))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_173801]) ).
tcf(c_203159,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK6,sK52(X0))) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_173801]) ).
tcf(c_203160,plain,
tl(cons(sK6,sK60)) = sK60,
inference(superposition,[status(thm)],[c_12927,c_173801]) ).
tcf(c_203161,plain,
tl(cons(sK6,sK59)) = sK59,
inference(superposition,[status(thm)],[c_12926,c_173801]) ).
tcf(c_203162,plain,
tl(cons(sK6,sK56)) = sK56,
inference(superposition,[status(thm)],[c_12924,c_173801]) ).
tcf(c_203163,plain,
tl(cons(sK6,iPr_def_13)) = iPr_def_13,
inference(superposition,[status(thm)],[c_172129,c_173801]) ).
tcf(c_203164,plain,
tl(cons(sK6,iPr_def_11)) = iPr_def_11,
inference(superposition,[status(thm)],[c_172791,c_173801]) ).
tcf(c_203165,plain,
tl(cons(sK6,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_172792,c_173801]) ).
tcf(c_203166,plain,
tl(cons(sK6,iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_172620,c_173801]) ).
tcf(c_203167,plain,
tl(cons(sK6,cons(sK57,sK60))) = cons(sK57,sK60),
inference(superposition,[status(thm)],[c_198667,c_173801]) ).
tcf(c_203168,plain,
( ( nil = sK60 )
| ( tl(cons(sK6,tl(sK60))) = tl(sK60) ) ),
inference(superposition,[status(thm)],[c_175037,c_173801]) ).
tcf(c_203169,plain,
( ( nil = sK59 )
| ( tl(cons(sK6,tl(sK59))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_175432,c_173801]) ).
tcf(c_203170,plain,
( ( nil = sK56 )
| ( tl(cons(sK6,tl(sK56))) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_175478,c_173801]) ).
tcf(c_203171,plain,
tl(cons(sK6,tl(iPr_def_13))) = tl(iPr_def_13),
inference(superposition,[status(thm)],[c_181732,c_173801]) ).
tcf(c_203172,plain,
tl(cons(sK6,tl(iPr_def_11))) = tl(iPr_def_11),
inference(superposition,[status(thm)],[c_182529,c_173801]) ).
tcf(c_203173,plain,
tl(cons(sK6,tl(iPr_def_12))) = tl(iPr_def_12),
inference(superposition,[status(thm)],[c_183724,c_173801]) ).
tcf(c_203174,plain,
tl(cons(sK6,cons(sK57,app(sK60,sK60)))) = cons(sK57,app(sK60,sK60)),
inference(superposition,[status(thm)],[c_198025,c_173801]) ).
tcf(c_203175,plain,
tl(cons(sK6,cons(sK57,app(sK59,sK60)))) = cons(sK57,app(sK59,sK60)),
inference(superposition,[status(thm)],[c_198362,c_173801]) ).
tcf(c_203176,plain,
tl(cons(sK6,cons(sK57,app(sK56,sK60)))) = cons(sK57,app(sK56,sK60)),
inference(superposition,[status(thm)],[c_199136,c_173801]) ).
tcf(c_203177,plain,
tl(cons(sK6,cons(sK57,app(sK60,sK59)))) = cons(sK57,app(sK60,sK59)),
inference(superposition,[status(thm)],[c_201374,c_173801]) ).
tcf(c_203178,plain,
tl(cons(sK6,cons(sK57,app(sK59,sK59)))) = cons(sK57,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_202138,c_173801]) ).
tcf(c_203179,plain,
tl(cons(sK6,cons(sK57,app(sK56,sK59)))) = cons(sK57,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_202532,c_173801]) ).
tcf(c_203520,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_201385,c_183]) ).
tcf(c_203521,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_201385,c_184]) ).
tcf(c_203522,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_201385,c_66]) ).
tcf(c_203523,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_203520,c_201374]) ).
tcf(c_203529,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_203522,c_201374]) ).
tcf(c_203533,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_203521,c_201374]) ).
tcf(c_203538,plain,
frontsegP(cons(sK57,app(sK59,sK59)),cons(sK57,sK59)),
inference(global_subsumption_just,[status(thm)],[c_202067,c_46479]) ).
tcf(c_203541,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_203538,c_174]) ).
tcf(c_203542,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_203538,c_63]) ).
tcf(c_203544,plain,
( frontsegP(app(sK59,sK59),sK59)
| ~ ssList(sK59)
| ~ ssItem(sK57)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_203538,c_179]) ).
tcf(c_203545,plain,
( frontsegP(app(sK59,sK59),sK59)
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203544,c_12926,c_12925]) ).
tcf(c_203548,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_203542,c_202138]) ).
tcf(c_203551,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_203541,c_202138]) ).
tcf(c_203655,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK59),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_203545,c_173]) ).
tcf(c_203656,plain,
( ( app(sK59,sK59) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK59))
| ~ frontsegP(sK59,app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_203545,c_174]) ).
tcf(c_203657,plain,
( ( app(sK59,sK11(app(sK59,sK59),sK59)) = app(sK59,sK59) )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_203545,c_63]) ).
tcf(c_203658,plain,
( ( app(sK59,sK11(app(sK59,sK59),sK59)) = app(sK59,sK59) )
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203657,c_12926]) ).
tcf(c_203661,plain,
( ( app(sK59,sK59) = sK59 )
| ~ ssList(app(sK59,sK59))
| ~ frontsegP(sK59,app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203656,c_12926]) ).
tcf(c_203665,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203655,c_12926]) ).
tcf(c_203670,plain,
frontsegP(cons(sK57,app(sK56,sK59)),cons(sK57,sK56)),
inference(global_subsumption_just,[status(thm)],[c_202404,c_47059,c_49784]) ).
tcf(c_203673,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_203670,c_174]) ).
tcf(c_203674,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_203670,c_63]) ).
tcf(c_203676,plain,
( frontsegP(app(sK56,sK59),sK56)
| ~ ssList(sK56)
| ~ ssItem(sK57)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_203670,c_179]) ).
tcf(c_203677,plain,
( frontsegP(app(sK56,sK59),sK56)
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203676,c_12924,c_12925]) ).
tcf(c_203680,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_203674,c_202532]) ).
tcf(c_203683,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_203673,c_202532]) ).
tcf(c_203691,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK59),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_203677,c_173]) ).
tcf(c_203692,plain,
( ( app(sK56,sK59) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK59))
| ~ frontsegP(sK56,app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_203677,c_174]) ).
tcf(c_203693,plain,
( ( app(sK56,sK11(app(sK56,sK59),sK56)) = app(sK56,sK59) )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_203677,c_63]) ).
tcf(c_203694,plain,
( ( app(sK56,sK11(app(sK56,sK59),sK56)) = app(sK56,sK59) )
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203693,c_12924]) ).
tcf(c_203697,plain,
( ( app(sK56,sK59) = sK56 )
| ~ ssList(app(sK56,sK59))
| ~ frontsegP(sK56,app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203692,c_12924]) ).
tcf(c_203701,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203691,c_12924]) ).
tcf(c_203712,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_202959,c_183]) ).
tcf(c_203713,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_202959,c_184]) ).
tcf(c_203714,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_202959,c_66]) ).
tcf(c_203715,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_203712,c_202138]) ).
tcf(c_203721,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_203714,c_202138]) ).
tcf(c_203725,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_203713,c_202138]) ).
tcf(c_203736,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_202974,c_183]) ).
tcf(c_203737,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_202974,c_184]) ).
tcf(c_203738,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_202974,c_66]) ).
tcf(c_203739,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_203736,c_202532]) ).
tcf(c_203745,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_203738,c_202532]) ).
tcf(c_203749,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_203737,c_202532]) ).
tcf(c_203758,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_197354]) ).
tcf(c_203759,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_197354]) ).
tcf(c_203760,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_197354]) ).
tcf(c_203761,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_197354]) ).
tcf(c_203762,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_197354]) ).
tcf(c_203763,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_197354]) ).
tcf(c_203764,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_197354]) ).
tcf(c_203774,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_197354]) ).
tcf(c_203775,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_197354]) ).
tcf(c_203776,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_197354]) ).
tcf(c_203777,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_197354]) ).
tcf(c_203778,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_197354]) ).
tcf(c_203779,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_197354]) ).
tcf(c_203780,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_197354]) ).
tcf(c_203781,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_197354]) ).
tcf(c_203782,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_197354]) ).
tcf(c_203783,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_197354]) ).
tcf(c_203784,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_197354]) ).
tcf(c_203785,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_197354]) ).
tcf(c_203786,plain,
cons(sK57,app(nil,sK56)) = app(cons(sK57,nil),sK56),
inference(superposition,[status(thm)],[c_141,c_197354]) ).
tcf(c_203787,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_197354]) ).
tcf(c_203788,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_197354]) ).
tcf(c_203789,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_197354]) ).
tcf(c_203790,plain,
cons(sK57,app(sK60,sK56)) = app(cons(sK57,sK60),sK56),
inference(superposition,[status(thm)],[c_12927,c_197354]) ).
tcf(c_203791,plain,
cons(sK57,app(sK59,sK56)) = app(cons(sK57,sK59),sK56),
inference(superposition,[status(thm)],[c_12926,c_197354]) ).
tcf(c_203792,plain,
cons(sK57,app(sK56,sK56)) = app(cons(sK57,sK56),sK56),
inference(superposition,[status(thm)],[c_12924,c_197354]) ).
tcf(c_203793,plain,
cons(sK57,app(iPr_def_13,sK56)) = app(cons(sK57,iPr_def_13),sK56),
inference(superposition,[status(thm)],[c_172129,c_197354]) ).
tcf(c_203794,plain,
cons(sK57,app(iPr_def_11,sK56)) = app(cons(sK57,iPr_def_11),sK56),
inference(superposition,[status(thm)],[c_172791,c_197354]) ).
tcf(c_203795,plain,
cons(sK57,app(iPr_def_12,sK56)) = app(cons(sK57,iPr_def_12),sK56),
inference(superposition,[status(thm)],[c_172792,c_197354]) ).
tcf(c_203796,plain,
cons(sK57,app(iPr_def_10,sK56)) = app(cons(sK57,iPr_def_10),sK56),
inference(superposition,[status(thm)],[c_172620,c_197354]) ).
tcf(c_203797,plain,
cons(sK57,app(cons(sK57,sK60),sK56)) = app(cons(sK57,cons(sK57,sK60)),sK56),
inference(superposition,[status(thm)],[c_198667,c_197354]) ).
tcf(c_203798,plain,
( ( nil = sK60 )
| ( cons(sK57,app(tl(sK60),sK56)) = app(cons(sK57,tl(sK60)),sK56) ) ),
inference(superposition,[status(thm)],[c_175037,c_197354]) ).
tcf(c_203799,plain,
( ( nil = sK59 )
| ( cons(sK57,app(tl(sK59),sK56)) = app(cons(sK57,tl(sK59)),sK56) ) ),
inference(superposition,[status(thm)],[c_175432,c_197354]) ).
tcf(c_203800,plain,
( ( nil = sK56 )
| ( cons(sK57,app(tl(sK56),sK56)) = app(cons(sK57,tl(sK56)),sK56) ) ),
inference(superposition,[status(thm)],[c_175478,c_197354]) ).
tcf(c_203801,plain,
cons(sK57,app(tl(iPr_def_13),sK56)) = app(cons(sK57,tl(iPr_def_13)),sK56),
inference(superposition,[status(thm)],[c_181732,c_197354]) ).
tcf(c_203802,plain,
cons(sK57,app(tl(iPr_def_11),sK56)) = app(cons(sK57,tl(iPr_def_11)),sK56),
inference(superposition,[status(thm)],[c_182529,c_197354]) ).
tcf(c_203803,plain,
cons(sK57,app(tl(iPr_def_12),sK56)) = app(cons(sK57,tl(iPr_def_12)),sK56),
inference(superposition,[status(thm)],[c_183724,c_197354]) ).
tcf(c_203804,plain,
cons(sK57,app(cons(sK57,app(sK60,sK60)),sK56)) = app(cons(sK57,cons(sK57,app(sK60,sK60))),sK56),
inference(superposition,[status(thm)],[c_198025,c_197354]) ).
tcf(c_203805,plain,
cons(sK57,app(cons(sK57,app(sK59,sK60)),sK56)) = app(cons(sK57,cons(sK57,app(sK59,sK60))),sK56),
inference(superposition,[status(thm)],[c_198362,c_197354]) ).
tcf(c_203806,plain,
cons(sK57,app(cons(sK57,app(sK56,sK60)),sK56)) = app(cons(sK57,cons(sK57,app(sK56,sK60))),sK56),
inference(superposition,[status(thm)],[c_199136,c_197354]) ).
tcf(c_203807,plain,
cons(sK57,app(cons(sK57,app(sK60,sK59)),sK56)) = app(cons(sK57,cons(sK57,app(sK60,sK59))),sK56),
inference(superposition,[status(thm)],[c_201374,c_197354]) ).
tcf(c_203808,plain,
cons(sK57,app(cons(sK57,app(sK59,sK59)),sK56)) = app(cons(sK57,cons(sK57,app(sK59,sK59))),sK56),
inference(superposition,[status(thm)],[c_202138,c_197354]) ).
tcf(c_203809,plain,
cons(sK57,app(cons(sK57,app(sK56,sK59)),sK56)) = app(cons(sK57,cons(sK57,app(sK56,sK59))),sK56),
inference(superposition,[status(thm)],[c_202532,c_197354]) ).
tcf(c_203810,plain,
cons(sK57,sK56) = app(iPr_def_10,sK56),
inference(light_normalisation,[status(thm)],[c_203786,c_172469,c_195465]) ).
tcf(c_204207,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_175448,c_67]) ).
tcf(c_204213,plain,
( frontsegP(tl(sK59),nil)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(tl(sK59)) ),
inference(superposition,[status(thm)],[c_175448,c_378]) ).
tcf(c_204214,plain,
( rearsegP(tl(sK59),tl(sK59))
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(tl(sK59)) ),
inference(superposition,[status(thm)],[c_175448,c_375]) ).
tcf(c_204216,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_175448,c_225]) ).
tcf(c_204220,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_175448,c_226]) ).
tcf(c_204221,plain,
! [X0: $i] :
( frontsegP(tl(sK59),X0)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_175448,c_176]) ).
tcf(c_204223,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_175448,c_193]) ).
tcf(c_204226,plain,
( frontsegP(tl(sK59),nil)
| ( nil = sK59 )
| ~ ssList(tl(sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204213,c_141]) ).
tcf(c_204230,plain,
( rearsegP(tl(sK59),tl(sK59))
| ( nil = sK59 )
| ~ ssList(tl(sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204214,c_141]) ).
tcf(c_204234,plain,
! [X0: $i] :
( frontsegP(tl(sK59),X0)
| ( nil = sK59 )
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204221,c_141]) ).
tcf(c_204240,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_204220,c_141]) ).
tcf(c_204246,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_204216,c_141]) ).
tcf(c_204252,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_204223,c_141]) ).
tcf(c_204259,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_204207,c_141]) ).
tcf(c_204269,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_173802]) ).
tcf(c_204270,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_173802]) ).
tcf(c_204271,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_173802]) ).
tcf(c_204272,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_173802]) ).
tcf(c_204273,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_173802]) ).
tcf(c_204274,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_173802]) ).
tcf(c_204275,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_173802]) ).
tcf(c_204285,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK7,sK34(X0))) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_173802]) ).
tcf(c_204286,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK7,sK33(X0))) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_173802]) ).
tcf(c_204287,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK7,sK32(X0))) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_173802]) ).
tcf(c_204288,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK7,sK39(X0))) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_173802]) ).
tcf(c_204289,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK7,sK38(X0))) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_173802]) ).
tcf(c_204290,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK7,sK37(X0))) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_173802]) ).
tcf(c_204291,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK7,sK44(X0))) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_173802]) ).
tcf(c_204292,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK7,sK43(X0))) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_173802]) ).
tcf(c_204293,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK7,sK42(X0))) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_173802]) ).
tcf(c_204294,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( tl(cons(sK7,sK48(X0))) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_173802]) ).
tcf(c_204295,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( tl(cons(sK7,sK47(X0))) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_173802]) ).
tcf(c_204296,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_173802]) ).
tcf(c_204297,plain,
tl(cons(sK7,nil)) = nil,
inference(superposition,[status(thm)],[c_141,c_173802]) ).
tcf(c_204298,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK7,sK49(X0))) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_173802]) ).
tcf(c_204299,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK7,tl(X0))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_173802]) ).
tcf(c_204300,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK7,sK52(X0))) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_173802]) ).
tcf(c_204301,plain,
tl(cons(sK7,sK60)) = sK60,
inference(superposition,[status(thm)],[c_12927,c_173802]) ).
tcf(c_204302,plain,
tl(cons(sK7,sK59)) = sK59,
inference(superposition,[status(thm)],[c_12926,c_173802]) ).
tcf(c_204303,plain,
tl(cons(sK7,sK56)) = sK56,
inference(superposition,[status(thm)],[c_12924,c_173802]) ).
tcf(c_204304,plain,
tl(cons(sK7,iPr_def_13)) = iPr_def_13,
inference(superposition,[status(thm)],[c_172129,c_173802]) ).
tcf(c_204305,plain,
tl(cons(sK7,iPr_def_11)) = iPr_def_11,
inference(superposition,[status(thm)],[c_172791,c_173802]) ).
tcf(c_204306,plain,
tl(cons(sK7,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_172792,c_173802]) ).
tcf(c_204307,plain,
tl(cons(sK7,iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_172620,c_173802]) ).
tcf(c_204308,plain,
tl(cons(sK7,cons(sK57,sK60))) = cons(sK57,sK60),
inference(superposition,[status(thm)],[c_198667,c_173802]) ).
tcf(c_204309,plain,
( ( nil = sK60 )
| ( tl(cons(sK7,tl(sK60))) = tl(sK60) ) ),
inference(superposition,[status(thm)],[c_175037,c_173802]) ).
tcf(c_204310,plain,
( ( nil = sK59 )
| ( tl(cons(sK7,tl(sK59))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_175432,c_173802]) ).
tcf(c_204311,plain,
( ( nil = sK56 )
| ( tl(cons(sK7,tl(sK56))) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_175478,c_173802]) ).
tcf(c_204312,plain,
tl(cons(sK7,tl(iPr_def_13))) = tl(iPr_def_13),
inference(superposition,[status(thm)],[c_181732,c_173802]) ).
tcf(c_204313,plain,
tl(cons(sK7,tl(iPr_def_11))) = tl(iPr_def_11),
inference(superposition,[status(thm)],[c_182529,c_173802]) ).
tcf(c_204314,plain,
tl(cons(sK7,tl(iPr_def_12))) = tl(iPr_def_12),
inference(superposition,[status(thm)],[c_183724,c_173802]) ).
tcf(c_204315,plain,
tl(cons(sK7,cons(sK57,app(sK60,sK60)))) = cons(sK57,app(sK60,sK60)),
inference(superposition,[status(thm)],[c_198025,c_173802]) ).
tcf(c_204316,plain,
tl(cons(sK7,cons(sK57,app(sK59,sK60)))) = cons(sK57,app(sK59,sK60)),
inference(superposition,[status(thm)],[c_198362,c_173802]) ).
tcf(c_204317,plain,
tl(cons(sK7,cons(sK57,app(sK56,sK60)))) = cons(sK57,app(sK56,sK60)),
inference(superposition,[status(thm)],[c_199136,c_173802]) ).
tcf(c_204318,plain,
tl(cons(sK7,cons(sK57,app(sK60,sK59)))) = cons(sK57,app(sK60,sK59)),
inference(superposition,[status(thm)],[c_201374,c_173802]) ).
tcf(c_204319,plain,
tl(cons(sK7,cons(sK57,app(sK59,sK59)))) = cons(sK57,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_202138,c_173802]) ).
tcf(c_204320,plain,
tl(cons(sK7,cons(sK57,app(sK56,sK59)))) = cons(sK57,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_202532,c_173802]) ).
tcf(c_204493,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_203790,c_67]) ).
tcf(c_204496,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_203790,c_167]) ).
tcf(c_204497,plain,
( ( cons(sK57,sK60) = nil )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_203790,c_231]) ).
tcf(c_204498,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_203790,c_230]) ).
tcf(c_204499,plain,
( frontsegP(cons(sK57,app(sK60,sK56)),cons(sK57,sK60))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_203790,c_378]) ).
tcf(c_204500,plain,
( rearsegP(cons(sK57,app(sK60,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_203790,c_375]) ).
tcf(c_204501,plain,
( ssList(cons(sK57,app(sK60,sK56)))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_203790,c_153]) ).
tcf(c_204502,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_203790,c_225]) ).
tcf(c_204503,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_203790,c_226]) ).
tcf(c_204504,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_203790,c_176]) ).
tcf(c_204505,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_203790,c_165]) ).
tcf(c_204506,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_203790,c_193]) ).
tcf(c_204507,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_203790,c_186]) ).
tcf(c_204508,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_203790,c_166]) ).
tcf(c_204509,plain,
( ( cons(sK57,sK60) = nil )
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_203790,c_185891]) ).
tcf(c_204510,plain,
ssList(cons(sK57,app(sK60,sK56))),
inference(forward_subsumption_resolution,[status(thm)],[c_204501,c_12924,c_198667]) ).
tcf(c_204511,plain,
rearsegP(cons(sK57,app(sK60,sK56)),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_204500,c_12924,c_198667]) ).
tcf(c_204512,plain,
frontsegP(cons(sK57,app(sK60,sK56)),cons(sK57,sK60)),
inference(forward_subsumption_resolution,[status(thm)],[c_204499,c_12924,c_198667]) ).
tcf(c_204513,plain,
cons(sK57,app(sK60,sK56)) != sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_204509,c_198677,c_198667]) ).
tcf(c_204517,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK60,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204508,c_12924,c_198667]) ).
tcf(c_204521,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK60,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204507,c_12924,c_198667]) ).
tcf(c_204525,plain,
cons(sK57,app(sK60,sK56)) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_204497,c_198677,c_12924,c_198667]) ).
tcf(c_204526,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK60,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204505,c_12924,c_198667]) ).
tcf(c_204530,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK60,sK56)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204504,c_12924,c_198667]) ).
tcf(c_204534,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_204506,c_12924,c_198667]) ).
tcf(c_204539,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_204496,c_12924,c_198667]) ).
tcf(c_204544,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ( app(cons(sK57,sK60),X0) != cons(sK57,app(sK60,sK56)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204503,c_12924,c_198667]) ).
tcf(c_204548,plain,
! [X0: $i] :
( ( cons(sK57,sK60) = X0 )
| ~ ssList(X0)
| ( cons(sK57,app(sK60,sK56)) != app(X0,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204502,c_12924,c_198667]) ).
tcf(c_204552,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_204493,c_203790]) ).
tcf(c_204553,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_204552,c_12924,c_198667]) ).
tcf(c_204613,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_204510,c_228]) ).
tcf(c_204614,plain,
tl(cons(sK7,cons(sK57,app(sK60,sK56)))) = cons(sK57,app(sK60,sK56)),
inference(superposition,[status(thm)],[c_204510,c_173802]) ).
tcf(c_204615,plain,
cons(sK57,app(cons(sK57,app(sK60,sK56)),sK56)) = app(cons(sK57,cons(sK57,app(sK60,sK56))),sK56),
inference(superposition,[status(thm)],[c_204510,c_197354]) ).
tcf(c_204616,plain,
tl(cons(sK6,cons(sK57,app(sK60,sK56)))) = cons(sK57,app(sK60,sK56)),
inference(superposition,[status(thm)],[c_204510,c_173801]) ).
tcf(c_204617,plain,
cons(sK57,app(cons(sK57,app(sK60,sK56)),sK59)) = app(cons(sK57,cons(sK57,app(sK60,sK56))),sK59),
inference(superposition,[status(thm)],[c_204510,c_197353]) ).
tcf(c_204618,plain,
hd(cons(sK7,cons(sK57,app(sK60,sK56)))) = sK7,
inference(superposition,[status(thm)],[c_204510,c_173681]) ).
tcf(c_204619,plain,
hd(cons(sK6,cons(sK57,app(sK60,sK56)))) = sK6,
inference(superposition,[status(thm)],[c_204510,c_173680]) ).
tcf(c_204620,plain,
cons(sK57,app(cons(sK57,app(sK60,sK56)),sK60)) = app(cons(sK57,cons(sK57,app(sK60,sK56))),sK60),
inference(superposition,[status(thm)],[c_204510,c_197352]) ).
tcf(c_204621,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_204510,c_181813]) ).
tcf(c_204622,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK60,sK56))) = tl(app(sK56,cons(sK57,app(sK60,sK56)))) ) ),
inference(superposition,[status(thm)],[c_204510,c_180595]) ).
tcf(c_204623,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK60,sK56))) = tl(app(sK59,cons(sK57,app(sK60,sK56)))) ) ),
inference(superposition,[status(thm)],[c_204510,c_180594]) ).
tcf(c_204624,plain,
( ( nil = sK60 )
| ( app(tl(sK60),cons(sK57,app(sK60,sK56))) = tl(app(sK60,cons(sK57,app(sK60,sK56)))) ) ),
inference(superposition,[status(thm)],[c_204510,c_180593]) ).
tcf(c_204625,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_204510,c_124]) ).
tcf(c_204626,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_204510,c_116]) ).
tcf(c_204627,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_204510,c_108]) ).
tcf(c_204628,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK60,sK56)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_204510,c_178855]) ).
tcf(c_204629,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK60,sK56)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_204510,c_178854]) ).
tcf(c_204630,plain,
( ( nil = sK60 )
| ( hd(app(sK60,cons(sK57,app(sK60,sK56)))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_204510,c_178853]) ).
tcf(c_204631,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_204510,c_234]) ).
tcf(c_204632,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_204510,c_132]) ).
tcf(c_204633,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_204510,c_233]) ).
tcf(c_204634,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_204510,c_224]) ).
tcf(c_204635,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_204510,c_147]) ).
tcf(c_204636,plain,
( ( cons(sK57,app(sK60,sK56)) = nil )
| ( tl(cons(sK57,app(sK60,sK56))) = sK52(cons(sK57,app(sK60,sK56))) ) ),
inference(superposition,[status(thm)],[c_204510,c_222]) ).
tcf(c_204637,plain,
( ( cons(sK57,app(sK60,sK56)) = nil )
| ( hd(cons(sK57,app(sK60,sK56))) = sK51(cons(sK57,app(sK60,sK56))) ) ),
inference(superposition,[status(thm)],[c_204510,c_220]) ).
tcf(c_204638,plain,
app(nil,cons(sK57,cons(sK57,app(sK60,sK56)))) = cons(sK57,cons(sK57,app(sK60,sK56))),
inference(superposition,[status(thm)],[c_204510,c_173183]) ).
tcf(c_204639,plain,
tl(cons(sK57,cons(sK57,app(sK60,sK56)))) = cons(sK57,app(sK60,sK56)),
inference(superposition,[status(thm)],[c_204510,c_173821]) ).
tcf(c_204640,plain,
hd(cons(sK57,cons(sK57,app(sK60,sK56)))) = sK57,
inference(superposition,[status(thm)],[c_204510,c_173700]) ).
tcf(c_204641,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_204510,c_172633]) ).
tcf(c_204642,plain,
( duplicatefreeP(cons(sK57,app(sK60,sK56)))
| ( sK40(cons(sK57,app(sK60,sK56))) = sK41(cons(sK57,app(sK60,sK56))) ) ),
inference(superposition,[status(thm)],[c_204510,c_123]) ).
tcf(c_204643,plain,
app(cons(sK57,cons(sK57,app(sK60,sK56))),nil) = cons(sK57,cons(sK57,app(sK60,sK56))),
inference(superposition,[status(thm)],[c_204510,c_172683]) ).
tcf(c_204644,plain,
app(cons(sK57,app(sK60,sK56)),nil) = cons(sK57,app(sK60,sK56)),
inference(superposition,[status(thm)],[c_204510,c_232]) ).
tcf(c_204645,plain,
app(nil,cons(sK57,app(sK60,sK56))) = cons(sK57,app(sK60,sK56)),
inference(superposition,[status(thm)],[c_204510,c_155]) ).
tcf(c_204737,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_204511,c_183]) ).
tcf(c_204738,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_204511,c_184]) ).
tcf(c_204739,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_204511,c_66]) ).
tcf(c_204741,plain,
app(sK12(cons(sK57,app(sK60,sK56)),sK56),sK56) = cons(sK57,app(sK60,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_204739,c_12924,c_204510]) ).
tcf(c_204742,plain,
( ( cons(sK57,app(sK60,sK56)) = sK56 )
| ~ rearsegP(sK56,cons(sK57,app(sK60,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204738,c_12924,c_204510]) ).
tcf(c_204745,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_204512,c_173]) ).
tcf(c_204746,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_204512,c_174]) ).
tcf(c_204747,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_204512,c_63]) ).
tcf(c_204749,plain,
( frontsegP(app(sK60,sK56),sK60)
| ~ ssList(sK60)
| ~ ssItem(sK57)
| ~ ssList(app(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_204512,c_179]) ).
tcf(c_204750,plain,
( frontsegP(app(sK60,sK56),sK60)
| ~ ssList(app(sK60,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204749,c_12927,c_12925]) ).
tcf(c_204754,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_204747,c_198667,c_204510]) ).
tcf(c_204755,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_204746,c_198667,c_204510]) ).
tcf(c_204762,plain,
! [X0: $i] :
( frontsegP(app(sK60,sK56),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ frontsegP(sK60,X0)
| ~ ssList(app(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_204750,c_173]) ).
tcf(c_204763,plain,
( ( app(sK60,sK56) = sK60 )
| ~ ssList(sK60)
| ~ ssList(app(sK60,sK56))
| ~ frontsegP(sK60,app(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_204750,c_174]) ).
tcf(c_204764,plain,
( ( app(sK60,sK11(app(sK60,sK56),sK60)) = app(sK60,sK56) )
| ~ ssList(sK60)
| ~ ssList(app(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_204750,c_63]) ).
tcf(c_204765,plain,
( ( app(sK60,sK11(app(sK60,sK56),sK60)) = app(sK60,sK56) )
| ~ ssList(app(sK60,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204764,c_12927]) ).
tcf(c_204768,plain,
( ( app(sK60,sK56) = sK60 )
| ~ ssList(app(sK60,sK56))
| ~ frontsegP(sK60,app(sK60,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204763,c_12927]) ).
tcf(c_204772,plain,
! [X0: $i] :
( frontsegP(app(sK60,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(sK60,X0)
| ~ ssList(app(sK60,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204762,c_12927]) ).
tcf(c_204777,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_203791,c_67]) ).
tcf(c_204780,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_203791,c_167]) ).
tcf(c_204781,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_203791,c_231]) ).
tcf(c_204782,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_203791,c_230]) ).
tcf(c_204783,plain,
( frontsegP(cons(sK57,app(sK59,sK56)),cons(sK57,sK59))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_203791,c_378]) ).
tcf(c_204784,plain,
( rearsegP(cons(sK57,app(sK59,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_203791,c_375]) ).
tcf(c_204785,plain,
( ssList(cons(sK57,app(sK59,sK56)))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_203791,c_153]) ).
tcf(c_204786,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_203791,c_225]) ).
tcf(c_204787,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_203791,c_226]) ).
tcf(c_204788,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_203791,c_176]) ).
tcf(c_204789,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_203791,c_165]) ).
tcf(c_204790,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_203791,c_193]) ).
tcf(c_204791,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_203791,c_186]) ).
tcf(c_204792,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_203791,c_166]) ).
tcf(c_204793,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_203791,c_185891]) ).
tcf(c_204794,plain,
( ssList(cons(sK57,app(sK59,sK56)))
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204785,c_12924]) ).
tcf(c_204797,plain,
( rearsegP(cons(sK57,app(sK59,sK56)),sK56)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204784,c_12924]) ).
tcf(c_204800,plain,
( frontsegP(cons(sK57,app(sK59,sK56)),cons(sK57,sK59))
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204783,c_12924]) ).
tcf(c_204806,plain,
( ( nil = sK56 )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204782,c_12924]) ).
tcf(c_204810,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_204792,c_12924]) ).
tcf(c_204815,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_204791,c_12924]) ).
tcf(c_204820,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204781,c_12924]) ).
tcf(c_204824,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_204789,c_12924]) ).
tcf(c_204829,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_204788,c_12924]) ).
tcf(c_204834,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_204790,c_12924]) ).
tcf(c_204840,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_204780,c_12924]) ).
tcf(c_204846,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_204787,c_12924]) ).
tcf(c_204851,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_204786,c_12924]) ).
tcf(c_204856,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_204777,c_203791]) ).
tcf(c_204857,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_204856,c_12924]) ).
tcf(c_204938,plain,
ssList(cons(sK57,app(sK59,sK56))),
inference(global_subsumption_just,[status(thm)],[c_204794,c_50583]) ).
tcf(c_204940,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_204938,c_228]) ).
tcf(c_204941,plain,
tl(cons(sK7,cons(sK57,app(sK59,sK56)))) = cons(sK57,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_204938,c_173802]) ).
tcf(c_204942,plain,
cons(sK57,app(cons(sK57,app(sK59,sK56)),sK56)) = app(cons(sK57,cons(sK57,app(sK59,sK56))),sK56),
inference(superposition,[status(thm)],[c_204938,c_197354]) ).
tcf(c_204943,plain,
tl(cons(sK6,cons(sK57,app(sK59,sK56)))) = cons(sK57,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_204938,c_173801]) ).
tcf(c_204944,plain,
cons(sK57,app(cons(sK57,app(sK59,sK56)),sK59)) = app(cons(sK57,cons(sK57,app(sK59,sK56))),sK59),
inference(superposition,[status(thm)],[c_204938,c_197353]) ).
tcf(c_204945,plain,
hd(cons(sK7,cons(sK57,app(sK59,sK56)))) = sK7,
inference(superposition,[status(thm)],[c_204938,c_173681]) ).
tcf(c_204946,plain,
hd(cons(sK6,cons(sK57,app(sK59,sK56)))) = sK6,
inference(superposition,[status(thm)],[c_204938,c_173680]) ).
tcf(c_204947,plain,
cons(sK57,app(cons(sK57,app(sK59,sK56)),sK60)) = app(cons(sK57,cons(sK57,app(sK59,sK56))),sK60),
inference(superposition,[status(thm)],[c_204938,c_197352]) ).
tcf(c_204948,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_204938,c_181813]) ).
tcf(c_204949,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK59,sK56))) = tl(app(sK56,cons(sK57,app(sK59,sK56)))) ) ),
inference(superposition,[status(thm)],[c_204938,c_180595]) ).
tcf(c_204950,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK59,sK56))) = tl(app(sK59,cons(sK57,app(sK59,sK56)))) ) ),
inference(superposition,[status(thm)],[c_204938,c_180594]) ).
tcf(c_204951,plain,
( ( nil = sK60 )
| ( app(tl(sK60),cons(sK57,app(sK59,sK56))) = tl(app(sK60,cons(sK57,app(sK59,sK56)))) ) ),
inference(superposition,[status(thm)],[c_204938,c_180593]) ).
tcf(c_204952,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_204938,c_124]) ).
tcf(c_204953,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_204938,c_116]) ).
tcf(c_204954,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_204938,c_108]) ).
tcf(c_204955,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK59,sK56)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_204938,c_178855]) ).
tcf(c_204956,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK59,sK56)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_204938,c_178854]) ).
tcf(c_204957,plain,
( ( nil = sK60 )
| ( hd(app(sK60,cons(sK57,app(sK59,sK56)))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_204938,c_178853]) ).
tcf(c_204958,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_204938,c_234]) ).
tcf(c_204959,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_204938,c_132]) ).
tcf(c_204960,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_204938,c_233]) ).
tcf(c_204961,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_204938,c_224]) ).
tcf(c_204962,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_204938,c_147]) ).
tcf(c_204963,plain,
( ( cons(sK57,app(sK59,sK56)) = nil )
| ( tl(cons(sK57,app(sK59,sK56))) = sK52(cons(sK57,app(sK59,sK56))) ) ),
inference(superposition,[status(thm)],[c_204938,c_222]) ).
tcf(c_204964,plain,
( ( cons(sK57,app(sK59,sK56)) = nil )
| ( hd(cons(sK57,app(sK59,sK56))) = sK51(cons(sK57,app(sK59,sK56))) ) ),
inference(superposition,[status(thm)],[c_204938,c_220]) ).
tcf(c_204965,plain,
app(nil,cons(sK57,cons(sK57,app(sK59,sK56)))) = cons(sK57,cons(sK57,app(sK59,sK56))),
inference(superposition,[status(thm)],[c_204938,c_173183]) ).
tcf(c_204966,plain,
tl(cons(sK57,cons(sK57,app(sK59,sK56)))) = cons(sK57,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_204938,c_173821]) ).
tcf(c_204967,plain,
hd(cons(sK57,cons(sK57,app(sK59,sK56)))) = sK57,
inference(superposition,[status(thm)],[c_204938,c_173700]) ).
tcf(c_204968,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_204938,c_172633]) ).
tcf(c_204969,plain,
( duplicatefreeP(cons(sK57,app(sK59,sK56)))
| ( sK40(cons(sK57,app(sK59,sK56))) = sK41(cons(sK57,app(sK59,sK56))) ) ),
inference(superposition,[status(thm)],[c_204938,c_123]) ).
tcf(c_204970,plain,
app(cons(sK57,cons(sK57,app(sK59,sK56))),nil) = cons(sK57,cons(sK57,app(sK59,sK56))),
inference(superposition,[status(thm)],[c_204938,c_172683]) ).
tcf(c_204971,plain,
app(cons(sK57,app(sK59,sK56)),nil) = cons(sK57,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_204938,c_232]) ).
tcf(c_204972,plain,
app(nil,cons(sK57,app(sK59,sK56))) = cons(sK57,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_204938,c_155]) ).
tcf(c_205082,plain,
( ssList(tl(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(tl(sK56)) ),
inference(superposition,[status(thm)],[c_175485,c_221]) ).
tcf(c_205165,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_199474,c_223]) ).
tcf(c_205166,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_199474,c_212]) ).
tcf(c_205167,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_199474,c_206]) ).
tcf(c_205180,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_205165,c_203171]) ).
tcf(c_205202,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_199475,c_223]) ).
tcf(c_205203,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_199475,c_212]) ).
tcf(c_205204,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_199475,c_206]) ).
tcf(c_205217,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_205202,c_203172]) ).
tcf(c_205328,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_203792,c_67]) ).
tcf(c_205331,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_203792,c_167]) ).
tcf(c_205332,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_203792,c_231]) ).
tcf(c_205333,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_203792,c_230]) ).
tcf(c_205334,plain,
( frontsegP(cons(sK57,app(sK56,sK56)),cons(sK57,sK56))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_203792,c_378]) ).
tcf(c_205335,plain,
( rearsegP(cons(sK57,app(sK56,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_203792,c_375]) ).
tcf(c_205336,plain,
( ssList(cons(sK57,app(sK56,sK56)))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_203792,c_153]) ).
tcf(c_205337,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_203792,c_225]) ).
tcf(c_205338,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_203792,c_226]) ).
tcf(c_205339,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_203792,c_176]) ).
tcf(c_205340,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_203792,c_165]) ).
tcf(c_205341,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_203792,c_193]) ).
tcf(c_205342,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_203792,c_186]) ).
tcf(c_205343,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_203792,c_166]) ).
tcf(c_205344,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_203792,c_185891]) ).
tcf(c_205345,plain,
( ssList(cons(sK57,app(sK56,sK56)))
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205336,c_12924]) ).
tcf(c_205348,plain,
( rearsegP(cons(sK57,app(sK56,sK56)),sK56)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205335,c_12924]) ).
tcf(c_205351,plain,
( frontsegP(cons(sK57,app(sK56,sK56)),cons(sK57,sK56))
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205334,c_12924]) ).
tcf(c_205357,plain,
( ( nil = sK56 )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205333,c_12924]) ).
tcf(c_205361,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_205343,c_12924]) ).
tcf(c_205366,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_205342,c_12924]) ).
tcf(c_205371,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205332,c_12924]) ).
tcf(c_205375,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_205340,c_12924]) ).
tcf(c_205380,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_205339,c_12924]) ).
tcf(c_205385,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_205341,c_12924]) ).
tcf(c_205391,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_205331,c_12924]) ).
tcf(c_205397,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_205338,c_12924]) ).
tcf(c_205402,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_205337,c_12924]) ).
tcf(c_205407,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_205328,c_203792]) ).
tcf(c_205408,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_205407,c_12924]) ).
tcf(c_205422,plain,
ssList(cons(sK57,app(sK56,sK56))),
inference(global_subsumption_just,[status(thm)],[c_205345,c_50946]) ).
tcf(c_205424,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_205422,c_228]) ).
tcf(c_205425,plain,
tl(cons(sK7,cons(sK57,app(sK56,sK56)))) = cons(sK57,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_205422,c_173802]) ).
tcf(c_205426,plain,
cons(sK57,app(cons(sK57,app(sK56,sK56)),sK56)) = app(cons(sK57,cons(sK57,app(sK56,sK56))),sK56),
inference(superposition,[status(thm)],[c_205422,c_197354]) ).
tcf(c_205427,plain,
tl(cons(sK6,cons(sK57,app(sK56,sK56)))) = cons(sK57,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_205422,c_173801]) ).
tcf(c_205428,plain,
cons(sK57,app(cons(sK57,app(sK56,sK56)),sK59)) = app(cons(sK57,cons(sK57,app(sK56,sK56))),sK59),
inference(superposition,[status(thm)],[c_205422,c_197353]) ).
tcf(c_205429,plain,
hd(cons(sK7,cons(sK57,app(sK56,sK56)))) = sK7,
inference(superposition,[status(thm)],[c_205422,c_173681]) ).
tcf(c_205430,plain,
hd(cons(sK6,cons(sK57,app(sK56,sK56)))) = sK6,
inference(superposition,[status(thm)],[c_205422,c_173680]) ).
tcf(c_205431,plain,
cons(sK57,app(cons(sK57,app(sK56,sK56)),sK60)) = app(cons(sK57,cons(sK57,app(sK56,sK56))),sK60),
inference(superposition,[status(thm)],[c_205422,c_197352]) ).
tcf(c_205432,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_205422,c_181813]) ).
tcf(c_205433,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK56,sK56))) = tl(app(sK56,cons(sK57,app(sK56,sK56)))) ) ),
inference(superposition,[status(thm)],[c_205422,c_180595]) ).
tcf(c_205434,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK56,sK56))) = tl(app(sK59,cons(sK57,app(sK56,sK56)))) ) ),
inference(superposition,[status(thm)],[c_205422,c_180594]) ).
tcf(c_205435,plain,
( ( nil = sK60 )
| ( app(tl(sK60),cons(sK57,app(sK56,sK56))) = tl(app(sK60,cons(sK57,app(sK56,sK56)))) ) ),
inference(superposition,[status(thm)],[c_205422,c_180593]) ).
tcf(c_205436,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_205422,c_124]) ).
tcf(c_205437,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_205422,c_116]) ).
tcf(c_205438,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_205422,c_108]) ).
tcf(c_205439,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK56,sK56)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_205422,c_178855]) ).
tcf(c_205440,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK56,sK56)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_205422,c_178854]) ).
tcf(c_205441,plain,
( ( nil = sK60 )
| ( hd(app(sK60,cons(sK57,app(sK56,sK56)))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_205422,c_178853]) ).
tcf(c_205442,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_205422,c_234]) ).
tcf(c_205443,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_205422,c_132]) ).
tcf(c_205444,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_205422,c_233]) ).
tcf(c_205445,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_205422,c_224]) ).
tcf(c_205446,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_205422,c_147]) ).
tcf(c_205447,plain,
( ( cons(sK57,app(sK56,sK56)) = nil )
| ( tl(cons(sK57,app(sK56,sK56))) = sK52(cons(sK57,app(sK56,sK56))) ) ),
inference(superposition,[status(thm)],[c_205422,c_222]) ).
tcf(c_205448,plain,
( ( cons(sK57,app(sK56,sK56)) = nil )
| ( hd(cons(sK57,app(sK56,sK56))) = sK51(cons(sK57,app(sK56,sK56))) ) ),
inference(superposition,[status(thm)],[c_205422,c_220]) ).
tcf(c_205449,plain,
app(nil,cons(sK57,cons(sK57,app(sK56,sK56)))) = cons(sK57,cons(sK57,app(sK56,sK56))),
inference(superposition,[status(thm)],[c_205422,c_173183]) ).
tcf(c_205450,plain,
tl(cons(sK57,cons(sK57,app(sK56,sK56)))) = cons(sK57,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_205422,c_173821]) ).
tcf(c_205451,plain,
hd(cons(sK57,cons(sK57,app(sK56,sK56)))) = sK57,
inference(superposition,[status(thm)],[c_205422,c_173700]) ).
tcf(c_205452,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_205422,c_172633]) ).
tcf(c_205453,plain,
( duplicatefreeP(cons(sK57,app(sK56,sK56)))
| ( sK40(cons(sK57,app(sK56,sK56))) = sK41(cons(sK57,app(sK56,sK56))) ) ),
inference(superposition,[status(thm)],[c_205422,c_123]) ).
tcf(c_205454,plain,
app(cons(sK57,cons(sK57,app(sK56,sK56))),nil) = cons(sK57,cons(sK57,app(sK56,sK56))),
inference(superposition,[status(thm)],[c_205422,c_172683]) ).
tcf(c_205455,plain,
app(cons(sK57,app(sK56,sK56)),nil) = cons(sK57,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_205422,c_232]) ).
tcf(c_205456,plain,
app(nil,cons(sK57,app(sK56,sK56))) = cons(sK57,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_205422,c_155]) ).
tcf(c_205641,plain,
rearsegP(cons(sK57,app(sK59,sK56)),sK56),
inference(global_subsumption_just,[status(thm)],[c_204797,c_50584]) ).
tcf(c_205643,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_205641,c_183]) ).
tcf(c_205644,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_205641,c_184]) ).
tcf(c_205645,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_205641,c_66]) ).
tcf(c_205646,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205643,c_12924,c_204938]) ).
tcf(c_205650,plain,
app(sK12(cons(sK57,app(sK59,sK56)),sK56),sK56) = cons(sK57,app(sK59,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_205645,c_12924,c_204938]) ).
tcf(c_205651,plain,
( ( cons(sK57,app(sK59,sK56)) = sK56 )
| ~ rearsegP(sK56,cons(sK57,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205644,c_12924,c_204938]) ).
tcf(c_205654,plain,
rearsegP(cons(sK57,app(sK56,sK56)),sK56),
inference(global_subsumption_just,[status(thm)],[c_205348,c_50947]) ).
tcf(c_205656,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_205654,c_183]) ).
tcf(c_205657,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_205654,c_184]) ).
tcf(c_205658,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_205654,c_66]) ).
tcf(c_205659,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205656,c_12924,c_205422]) ).
tcf(c_205663,plain,
app(sK12(cons(sK57,app(sK56,sK56)),sK56),sK56) = cons(sK57,app(sK56,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_205658,c_12924,c_205422]) ).
tcf(c_205664,plain,
( ( cons(sK57,app(sK56,sK56)) = sK56 )
| ~ rearsegP(sK56,cons(sK57,app(sK56,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205657,c_12924,c_205422]) ).
tcf(c_205746,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_204517,c_57]) ).
tcf(c_205747,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_204517,c_170]) ).
tcf(c_205748,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_205747,c_12925]) ).
tcf(c_205754,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_205746,c_204510]) ).
tcf(c_205764,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_204521,c_183]) ).
tcf(c_205765,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_204521,c_184]) ).
tcf(c_205766,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_204521,c_66]) ).
tcf(c_205767,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_205764,c_204510]) ).
tcf(c_205773,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_205766,c_204510]) ).
tcf(c_205777,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_205765,c_204510]) ).
tcf(c_205856,plain,
frontsegP(cons(sK57,app(sK59,sK56)),cons(sK57,sK59)),
inference(global_subsumption_just,[status(thm)],[c_204800,c_50585]) ).
tcf(c_205859,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_205856,c_174]) ).
tcf(c_205860,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_205856,c_63]) ).
tcf(c_205862,plain,
( frontsegP(app(sK59,sK56),sK59)
| ~ ssList(sK59)
| ~ ssItem(sK57)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_205856,c_179]) ).
tcf(c_205863,plain,
( frontsegP(app(sK59,sK56),sK59)
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205862,c_12926,c_12925]) ).
tcf(c_205866,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_205860,c_204938]) ).
tcf(c_205869,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_205859,c_204938]) ).
tcf(c_205877,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK56),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_205863,c_173]) ).
tcf(c_205878,plain,
( ( app(sK59,sK56) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK56))
| ~ frontsegP(sK59,app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_205863,c_174]) ).
tcf(c_205879,plain,
( ( app(sK59,sK11(app(sK59,sK56),sK59)) = app(sK59,sK56) )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_205863,c_63]) ).
tcf(c_205880,plain,
( ( app(sK59,sK11(app(sK59,sK56),sK59)) = app(sK59,sK56) )
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205879,c_12926]) ).
tcf(c_205883,plain,
( ( app(sK59,sK56) = sK59 )
| ~ ssList(app(sK59,sK56))
| ~ frontsegP(sK59,app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205878,c_12926]) ).
tcf(c_205887,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205877,c_12926]) ).
tcf(c_205898,plain,
( ssItem(hd(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(tl(sK56)) ),
inference(superposition,[status(thm)],[c_175486,c_219]) ).
tcf(c_205903,plain,
frontsegP(cons(sK57,sK60),nil),
inference(global_subsumption_just,[status(thm)],[c_174419,c_18138,c_44373]) ).
tcf(c_205906,plain,
( ( cons(sK57,sK60) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK60))
| ~ frontsegP(nil,cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_205903,c_174]) ).
tcf(c_205907,plain,
( ( app(nil,sK11(cons(sK57,sK60),nil)) = cons(sK57,sK60) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_205903,c_63]) ).
tcf(c_205908,plain,
app(nil,sK11(cons(sK57,sK60),nil)) = cons(sK57,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_205907,c_141,c_198667]) ).
tcf(c_205909,plain,
~ frontsegP(nil,cons(sK57,sK60)),
inference(forward_subsumption_resolution,[status(thm)],[c_205906,c_198677,c_141,c_198667]) ).
tcf(c_205910,plain,
frontsegP(cons(sK57,sK59),nil),
inference(global_subsumption_just,[status(thm)],[c_174433,c_18156,c_45941]) ).
tcf(c_205913,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59))
| ~ frontsegP(nil,cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_205910,c_174]) ).
tcf(c_205914,plain,
( ( app(nil,sK11(cons(sK57,sK59),nil)) = cons(sK57,sK59) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_205910,c_63]) ).
tcf(c_205915,plain,
( ( app(nil,sK11(cons(sK57,sK59),nil)) = cons(sK57,sK59) )
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205914,c_141]) ).
tcf(c_205918,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(cons(sK57,sK59))
| ~ frontsegP(nil,cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205913,c_141]) ).
tcf(c_205922,plain,
frontsegP(cons(sK57,sK56),nil),
inference(global_subsumption_just,[status(thm)],[c_174447,c_18176,c_49784]) ).
tcf(c_205925,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56))
| ~ frontsegP(nil,cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_205922,c_174]) ).
tcf(c_205926,plain,
( ( app(nil,sK11(cons(sK57,sK56),nil)) = cons(sK57,sK56) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_205922,c_63]) ).
tcf(c_205927,plain,
( ( app(nil,sK11(cons(sK57,sK56),nil)) = cons(sK57,sK56) )
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205926,c_141]) ).
tcf(c_205930,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(cons(sK57,sK56))
| ~ frontsegP(nil,cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205925,c_141]) ).
tcf(c_205936,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_199476,c_223]) ).
tcf(c_205937,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_199476,c_212]) ).
tcf(c_205938,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_199476,c_206]) ).
tcf(c_205951,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_205936,c_203173]) ).
tcf(c_205961,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_200479,c_223]) ).
tcf(c_205962,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_200479,c_212]) ).
tcf(c_205963,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_200479,c_206]) ).
tcf(c_205976,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_205961,c_204312]) ).
tcf(c_205986,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_200480,c_223]) ).
tcf(c_205987,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_200480,c_212]) ).
tcf(c_205988,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_200480,c_206]) ).
tcf(c_206001,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_205986,c_204313]) ).
tcf(c_206151,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_200481,c_223]) ).
tcf(c_206152,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_200481,c_212]) ).
tcf(c_206153,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_200481,c_206]) ).
tcf(c_206166,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_206151,c_204314]) ).
tcf(c_206174,plain,
frontsegP(cons(sK57,app(sK56,sK56)),cons(sK57,sK56)),
inference(global_subsumption_just,[status(thm)],[c_205351,c_50948]) ).
tcf(c_206177,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_206174,c_174]) ).
tcf(c_206178,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_206174,c_63]) ).
tcf(c_206180,plain,
( frontsegP(app(sK56,sK56),sK56)
| ~ ssList(sK56)
| ~ ssItem(sK57)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_206174,c_179]) ).
tcf(c_206181,plain,
( frontsegP(app(sK56,sK56),sK56)
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206180,c_12924,c_12925]) ).
tcf(c_206184,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_206178,c_205422]) ).
tcf(c_206187,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_206177,c_205422]) ).
tcf(c_206195,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK56),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_206181,c_173]) ).
tcf(c_206196,plain,
( ( app(sK56,sK56) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK56))
| ~ frontsegP(sK56,app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_206181,c_174]) ).
tcf(c_206197,plain,
( ( app(sK56,sK11(app(sK56,sK56),sK56)) = app(sK56,sK56) )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_206181,c_63]) ).
tcf(c_206198,plain,
( ( app(sK56,sK11(app(sK56,sK56),sK56)) = app(sK56,sK56) )
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206197,c_12924]) ).
tcf(c_206201,plain,
( ( app(sK56,sK56) = sK56 )
| ~ ssList(app(sK56,sK56))
| ~ frontsegP(sK56,app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206196,c_12924]) ).
tcf(c_206205,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206195,c_12924]) ).
tcf(c_206216,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_205646,c_183]) ).
tcf(c_206217,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_205646,c_184]) ).
tcf(c_206218,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_205646,c_66]) ).
tcf(c_206219,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_206216,c_204938]) ).
tcf(c_206225,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_206218,c_204938]) ).
tcf(c_206229,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_206217,c_204938]) ).
tcf(c_206240,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_205659,c_183]) ).
tcf(c_206241,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_205659,c_184]) ).
tcf(c_206242,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_205659,c_66]) ).
tcf(c_206243,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_206240,c_205422]) ).
tcf(c_206249,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_206242,c_205422]) ).
tcf(c_206253,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_206241,c_205422]) ).
tcf(c_206277,plain,
( ( nil = sK60 )
| ~ ssList(nil)
| ( cons(sK57,sK60) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_172647,c_198699]) ).
tcf(c_206278,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_177081,c_198699]) ).
tcf(c_206280,plain,
( ( nil = sK60 )
| ( cons(sK57,sK60) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206277,c_141]) ).
tcf(c_206292,plain,
( ( iPr_def_10 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ( cons(sK57,sK60) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_12920,c_198703]) ).
tcf(c_206294,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_177152,c_198703]) ).
tcf(c_206295,plain,
( ( cons(sK57,sK60) = iPr_def_10 )
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK60)) != cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_197664,c_198703]) ).
tcf(c_206296,plain,
( ( cons(sK57,sK59) = iPr_def_10 )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK60)) != cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_197665,c_198703]) ).
tcf(c_206297,plain,
( ( cons(sK57,sK56) = iPr_def_10 )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK60)) != cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_197666,c_198703]) ).
tcf(c_206299,plain,
( ( sK12(cons(sK57,sK60),sK60) = iPr_def_10 )
| ~ ssList(sK12(cons(sK57,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_199033,c_198703]) ).
tcf(c_206312,plain,
( ( cons(sK57,sK60) = iPr_def_10 )
| ( cons(sK57,app(sK60,sK60)) != cons(sK57,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206295,c_198667]) ).
tcf(c_206315,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_199241,c_67]) ).
tcf(c_206318,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_199241,c_167]) ).
tcf(c_206319,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_199241,c_231]) ).
tcf(c_206320,plain,
( ( nil = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60))
| ( cons(sK57,app(sK60,sK60)) != nil ) ),
inference(superposition,[status(thm)],[c_199241,c_230]) ).
tcf(c_206321,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_199241,c_378]) ).
tcf(c_206324,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_199241,c_225]) ).
tcf(c_206325,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_199241,c_226]) ).
tcf(c_206326,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_199241,c_176]) ).
tcf(c_206327,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_199241,c_165]) ).
tcf(c_206328,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_199241,c_193]) ).
tcf(c_206329,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_199241,c_186]) ).
tcf(c_206330,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_199241,c_166]) ).
tcf(c_206331,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_199241,c_198703]) ).
tcf(c_206332,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_199241,c_185907]) ).
tcf(c_206333,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_199241,c_185899]) ).
tcf(c_206334,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_206321,c_12927]) ).
tcf(c_206337,plain,
( ( nil = sK60 )
| ~ ssList(sK12(cons(sK57,app(sK60,sK60)),sK60))
| ( cons(sK57,app(sK60,sK60)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206320,c_12927]) ).
tcf(c_206341,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_206330,c_12927]) ).
tcf(c_206356,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_206328,c_12927]) ).
tcf(c_206362,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_206319,c_12927]) ).
tcf(c_206366,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_206327,c_12927]) ).
tcf(c_206371,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_206326,c_12927]) ).
tcf(c_206376,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_206318,c_12927]) ).
tcf(c_206382,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_206325,c_12927]) ).
tcf(c_206387,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_206324,c_12927]) ).
tcf(c_206392,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_206315,c_199241]) ).
tcf(c_206393,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_206392,c_12927]) ).
tcf(c_206435,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_175487,c_122]) ).
tcf(c_206436,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_175487,c_114]) ).
tcf(c_206437,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_175487,c_130]) ).
tcf(c_206441,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_175487,c_54]) ).
tcf(c_206442,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_175487,c_67]) ).
tcf(c_206448,plain,
( frontsegP(cons(sK57,tl(sK56)),nil)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(cons(sK57,tl(sK56))) ),
inference(superposition,[status(thm)],[c_175487,c_378]) ).
tcf(c_206449,plain,
( rearsegP(cons(sK57,tl(sK56)),cons(sK57,tl(sK56)))
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(cons(sK57,tl(sK56))) ),
inference(superposition,[status(thm)],[c_175487,c_375]) ).
tcf(c_206451,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_175487,c_225]) ).
tcf(c_206455,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_175487,c_226]) ).
tcf(c_206456,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_175487,c_176]) ).
tcf(c_206458,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_175487,c_193]) ).
tcf(c_206461,plain,
( frontsegP(cons(sK57,tl(sK56)),nil)
| ( nil = sK56 )
| ~ ssList(cons(sK57,tl(sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206448,c_141]) ).
tcf(c_206465,plain,
( rearsegP(cons(sK57,tl(sK56)),cons(sK57,tl(sK56)))
| ( nil = sK56 )
| ~ ssList(cons(sK57,tl(sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206449,c_141]) ).
tcf(c_206469,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_206456,c_141]) ).
tcf(c_206475,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_206441,c_141,c_12925]) ).
tcf(c_206480,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_206455,c_141]) ).
tcf(c_206486,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_206451,c_141]) ).
tcf(c_206492,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_206458,c_141]) ).
tcf(c_206515,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_206442,c_141]) ).
tcf(c_206529,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_206437,c_141,c_12925]) ).
tcf(c_206535,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_206436,c_141,c_12925]) ).
tcf(c_206543,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_206435,c_141,c_12925]) ).
tcf(c_206692,plain,
frontsegP(cons(sK57,iPr_def_13),nil),
inference(global_subsumption_just,[status(thm)],[c_176973,c_20987,c_71011]) ).
tcf(c_206695,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_206692,c_174]) ).
tcf(c_206696,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_206692,c_63]) ).
tcf(c_206697,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_206696,c_141]) ).
tcf(c_206700,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_206695,c_141]) ).
tcf(c_206715,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ~ rearsegP(sK11(sK56,nil),X0) ),
inference(superposition,[status(thm)],[c_177335,c_183]) ).
tcf(c_206716,plain,
( ( sK11(sK56,nil) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(sK56,nil))
| ~ rearsegP(sK11(sK56,nil),sK56) ),
inference(superposition,[status(thm)],[c_177335,c_184]) ).
tcf(c_206717,plain,
( ( app(sK12(sK56,sK11(sK56,nil)),sK11(sK56,nil)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(sK56,nil)) ),
inference(superposition,[status(thm)],[c_177335,c_66]) ).
tcf(c_206718,plain,
( ( app(sK12(sK56,sK11(sK56,nil)),sK11(sK56,nil)) = sK56 )
| ~ ssList(sK11(sK56,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206717,c_12924]) ).
tcf(c_206727,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ~ rearsegP(sK11(sK59,nil),X0) ),
inference(superposition,[status(thm)],[c_177347,c_183]) ).
tcf(c_206728,plain,
( ( sK11(sK59,nil) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(sK59,nil))
| ~ rearsegP(sK11(sK59,nil),sK59) ),
inference(superposition,[status(thm)],[c_177347,c_184]) ).
tcf(c_206729,plain,
( ( app(sK12(sK59,sK11(sK59,nil)),sK11(sK59,nil)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(sK59,nil)) ),
inference(superposition,[status(thm)],[c_177347,c_66]) ).
tcf(c_206730,plain,
( ( app(sK12(sK59,sK11(sK59,nil)),sK11(sK59,nil)) = sK59 )
| ~ ssList(sK11(sK59,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206729,c_12926]) ).
tcf(c_206739,plain,
! [X0: $i] :
( rearsegP(sK60,X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK11(sK60,nil))
| ~ rearsegP(sK11(sK60,nil),X0) ),
inference(superposition,[status(thm)],[c_177359,c_183]) ).
tcf(c_206740,plain,
( ( sK11(sK60,nil) = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK11(sK60,nil))
| ~ rearsegP(sK11(sK60,nil),sK60) ),
inference(superposition,[status(thm)],[c_177359,c_184]) ).
tcf(c_206741,plain,
( ( app(sK12(sK60,sK11(sK60,nil)),sK11(sK60,nil)) = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK11(sK60,nil)) ),
inference(superposition,[status(thm)],[c_177359,c_66]) ).
tcf(c_206742,plain,
( rearsegP(iPr_def_13,sK11(sK60,nil))
| ~ ssList(sK11(sK60,nil)) ),
inference(superposition,[status(thm)],[c_177359,c_178570]) ).
tcf(c_206745,plain,
( ( app(sK12(sK60,sK11(sK60,nil)),sK11(sK60,nil)) = sK60 )
| ~ ssList(sK11(sK60,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206741,c_12927]) ).
tcf(c_206750,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_201043,c_67]) ).
tcf(c_206753,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_201043,c_167]) ).
tcf(c_206754,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ( cons(sK57,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_201043,c_231]) ).
tcf(c_206755,plain,
( ( nil = sK59 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ( cons(sK57,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_201043,c_230]) ).
tcf(c_206756,plain,
( frontsegP(cons(sK57,sK59),iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_201043,c_378]) ).
tcf(c_206757,plain,
( rearsegP(cons(sK57,sK59),sK59)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_201043,c_375]) ).
tcf(c_206758,plain,
( ssList(cons(sK57,sK59))
| ~ ssList(iPr_def_10)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_201043,c_153]) ).
tcf(c_206759,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_201043,c_225]) ).
tcf(c_206760,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_201043,c_226]) ).
tcf(c_206761,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_201043,c_176]) ).
tcf(c_206762,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_201043,c_165]) ).
tcf(c_206763,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_201043,c_193]) ).
tcf(c_206764,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK59),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(superposition,[status(thm)],[c_201043,c_186]) ).
tcf(c_206765,plain,
! [X0: $i] :
( memberP(cons(sK57,sK59),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(superposition,[status(thm)],[c_201043,c_166]) ).
tcf(c_206766,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( cons(sK57,sK59) != sK59 ) ),
inference(superposition,[status(thm)],[c_201043,c_185895]) ).
tcf(c_206767,plain,
( ( sK59 = sK60 )
| ~ ssList(sK59)
| ( cons(sK57,sK59) != cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_201043,c_198699]) ).
tcf(c_206768,plain,
ssList(cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_206758,c_172620,c_12926]) ).
tcf(c_206769,plain,
rearsegP(cons(sK57,sK59),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_206757,c_172620,c_12926]) ).
tcf(c_206770,plain,
frontsegP(cons(sK57,sK59),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_206756,c_172620,c_12926]) ).
tcf(c_206771,plain,
cons(sK57,sK59) != sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_206766,c_173666,c_172620]) ).
tcf(c_206772,plain,
( ( sK59 = sK60 )
| ( cons(sK57,sK59) != cons(sK57,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206767,c_12926]) ).
tcf(c_206778,plain,
cons(sK57,sK59) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_206754,c_173666,c_172620,c_12926]) ).
tcf(c_206779,plain,
! [X0: $i] :
( memberP(cons(sK57,sK59),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206765,c_172620,c_12926]) ).
tcf(c_206783,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK59),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206764,c_172620,c_12926]) ).
tcf(c_206787,plain,
! [X0: $i] :
( memberP(cons(sK57,sK59),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206762,c_172620,c_12926]) ).
tcf(c_206791,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206761,c_172620,c_12926]) ).
tcf(c_206795,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_206753,c_172620,c_12926]) ).
tcf(c_206800,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206760,c_172620,c_12926]) ).
tcf(c_206804,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(X0,sK59) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206759,c_172620,c_12926]) ).
tcf(c_206808,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_206763,c_172620,c_12926]) ).
tcf(c_206813,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_206750,c_201043]) ).
tcf(c_206814,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_206813,c_172620,c_12926]) ).
tcf(c_206834,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_206768,c_228]) ).
tcf(c_206835,plain,
tl(cons(sK7,cons(sK57,sK59))) = cons(sK57,sK59),
inference(superposition,[status(thm)],[c_206768,c_173802]) ).
tcf(c_206836,plain,
cons(sK57,app(cons(sK57,sK59),sK56)) = app(cons(sK57,cons(sK57,sK59)),sK56),
inference(superposition,[status(thm)],[c_206768,c_197354]) ).
tcf(c_206837,plain,
tl(cons(sK6,cons(sK57,sK59))) = cons(sK57,sK59),
inference(superposition,[status(thm)],[c_206768,c_173801]) ).
tcf(c_206838,plain,
cons(sK57,app(cons(sK57,sK59),sK59)) = app(cons(sK57,cons(sK57,sK59)),sK59),
inference(superposition,[status(thm)],[c_206768,c_197353]) ).
tcf(c_206839,plain,
hd(cons(sK7,cons(sK57,sK59))) = sK7,
inference(superposition,[status(thm)],[c_206768,c_173681]) ).
tcf(c_206840,plain,
hd(cons(sK6,cons(sK57,sK59))) = sK6,
inference(superposition,[status(thm)],[c_206768,c_173680]) ).
tcf(c_206841,plain,
cons(sK57,app(cons(sK57,sK59),sK60)) = app(cons(sK57,cons(sK57,sK59)),sK60),
inference(superposition,[status(thm)],[c_206768,c_197352]) ).
tcf(c_206842,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,sK59))) = app(cons(sK57,X0),cons(sK57,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_206768,c_181813]) ).
tcf(c_206843,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,sK59)) = tl(app(sK56,cons(sK57,sK59))) ) ),
inference(superposition,[status(thm)],[c_206768,c_180595]) ).
tcf(c_206844,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,sK59)) = tl(app(sK59,cons(sK57,sK59))) ) ),
inference(superposition,[status(thm)],[c_206768,c_180594]) ).
tcf(c_206845,plain,
( ( nil = sK60 )
| ( app(tl(sK60),cons(sK57,sK59)) = tl(app(sK60,cons(sK57,sK59))) ) ),
inference(superposition,[status(thm)],[c_206768,c_180593]) ).
tcf(c_206846,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_206768,c_124]) ).
tcf(c_206847,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_206768,c_116]) ).
tcf(c_206848,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_206768,c_108]) ).
tcf(c_206849,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,sK59))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_206768,c_178855]) ).
tcf(c_206850,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,sK59))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_206768,c_178854]) ).
tcf(c_206851,plain,
( ( nil = sK60 )
| ( hd(app(sK60,cons(sK57,sK59))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_206768,c_178853]) ).
tcf(c_206852,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_206768,c_234]) ).
tcf(c_206853,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_206768,c_132]) ).
tcf(c_206854,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = nil )
| ( hd(app(cons(sK57,sK59),X0)) = hd(cons(sK57,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_206768,c_233]) ).
tcf(c_206855,plain,
( ( cons(sK57,sK59) = nil )
| ( cons(hd(cons(sK57,sK59)),tl(cons(sK57,sK59))) = cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_206768,c_224]) ).
tcf(c_206856,plain,
( ( cons(sK57,sK59) = nil )
| ( cons(sK50(cons(sK57,sK59)),sK49(cons(sK57,sK59))) = cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_206768,c_147]) ).
tcf(c_206857,plain,
( ( cons(sK57,sK59) = nil )
| ( tl(cons(sK57,sK59)) = sK52(cons(sK57,sK59)) ) ),
inference(superposition,[status(thm)],[c_206768,c_222]) ).
tcf(c_206858,plain,
( ( cons(sK57,sK59) = nil )
| ( hd(cons(sK57,sK59)) = sK51(cons(sK57,sK59)) ) ),
inference(superposition,[status(thm)],[c_206768,c_220]) ).
tcf(c_206859,plain,
app(nil,cons(sK57,cons(sK57,sK59))) = cons(sK57,cons(sK57,sK59)),
inference(superposition,[status(thm)],[c_206768,c_173183]) ).
tcf(c_206860,plain,
tl(cons(sK57,cons(sK57,sK59))) = cons(sK57,sK59),
inference(superposition,[status(thm)],[c_206768,c_173821]) ).
tcf(c_206861,plain,
hd(cons(sK57,cons(sK57,sK59))) = sK57,
inference(superposition,[status(thm)],[c_206768,c_173700]) ).
tcf(c_206862,plain,
( ( cons(sK57,sK59) = nil )
| ( app(sK49(cons(sK57,sK59)),nil) = sK49(cons(sK57,sK59)) ) ),
inference(superposition,[status(thm)],[c_206768,c_172633]) ).
tcf(c_206863,plain,
( duplicatefreeP(cons(sK57,sK59))
| ( sK40(cons(sK57,sK59)) = sK41(cons(sK57,sK59)) ) ),
inference(superposition,[status(thm)],[c_206768,c_123]) ).
tcf(c_206864,plain,
app(cons(sK57,cons(sK57,sK59)),nil) = cons(sK57,cons(sK57,sK59)),
inference(superposition,[status(thm)],[c_206768,c_172683]) ).
tcf(c_206875,plain,
( ( cons(sK57,sK59) = nil )
| ( sK51(cons(sK57,sK59)) = sK57 ) ),
inference(light_normalisation,[status(thm)],[c_206858,c_173947]) ).
tcf(c_206878,plain,
( ( cons(sK57,sK59) = nil )
| ( sK52(cons(sK57,sK59)) = sK59 ) ),
inference(light_normalisation,[status(thm)],[c_206857,c_174094]) ).
tcf(c_206881,plain,
cons(sK57,cons(sK57,app(sK59,sK60))) = app(cons(sK57,cons(sK57,sK59)),sK60),
inference(light_normalisation,[status(thm)],[c_206841,c_197665]) ).
tcf(c_206882,plain,
cons(sK57,cons(sK57,app(sK59,sK59))) = app(cons(sK57,cons(sK57,sK59)),sK59),
inference(light_normalisation,[status(thm)],[c_206838,c_201027]) ).
tcf(c_206883,plain,
cons(sK57,cons(sK57,app(sK59,sK56))) = app(cons(sK57,cons(sK57,sK59)),sK56),
inference(light_normalisation,[status(thm)],[c_206836,c_203791]) ).
tcf(c_206897,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = nil )
| ( hd(app(cons(sK57,sK59),X0)) = sK57 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_206854,c_173947]) ).
tcf(c_206904,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = nil )
| ( tl(app(cons(sK57,sK59),X0)) = app(sK59,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_206852,c_174094]) ).
tcf(c_207092,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK59),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_206769,c_183]) ).
tcf(c_207093,plain,
( ( cons(sK57,sK59) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59))
| ~ rearsegP(sK59,cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_206769,c_184]) ).
tcf(c_207094,plain,
( ( app(sK12(cons(sK57,sK59),sK59),sK59) = cons(sK57,sK59) )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_206769,c_66]) ).
tcf(c_207095,plain,
app(sK12(cons(sK57,sK59),sK59),sK59) = cons(sK57,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_207094,c_12926,c_206768]) ).
tcf(c_207096,plain,
( ( cons(sK57,sK59) = sK59 )
| ~ rearsegP(sK59,cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207093,c_12926,c_206768]) ).
tcf(c_207100,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_206770,c_173]) ).
tcf(c_207101,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_206770,c_174]) ).
tcf(c_207102,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_206770,c_63]) ).
tcf(c_207104,plain,
app(iPr_def_10,sK11(cons(sK57,sK59),iPr_def_10)) = cons(sK57,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_207102,c_172620,c_206768]) ).
tcf(c_207105,plain,
( ( cons(sK57,sK59) = iPr_def_10 )
| ~ frontsegP(iPr_def_10,cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207101,c_172620,c_206768]) ).
tcf(c_207130,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_206779,c_57]) ).
tcf(c_207132,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_207130,c_206768]) ).
tcf(c_207142,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_206783,c_183]) ).
tcf(c_207143,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_206783,c_184]) ).
tcf(c_207144,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_206783,c_66]) ).
tcf(c_207145,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_207144,c_206768]) ).
tcf(c_207149,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ rearsegP(X0,cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207143,c_206768]) ).
tcf(c_207154,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_207142,c_206768]) ).
tcf(c_207185,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_206787,c_57]) ).
tcf(c_207186,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ( X0 = sK57 )
| ~ ssList(sK59)
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_206787,c_170]) ).
tcf(c_207188,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_207185,c_206768]) ).
tcf(c_207198,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_206791,c_173]) ).
tcf(c_207199,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_206791,c_174]) ).
tcf(c_207200,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_206791,c_63]) ).
tcf(c_207201,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_206791,c_178]) ).
tcf(c_207202,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_206791,c_179]) ).
tcf(c_207204,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_207200,c_206768]) ).
tcf(c_207208,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_207199,c_206768]) ).
tcf(c_207213,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_207198,c_206768]) ).
tcf(c_207219,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_207202,c_12926,c_12925]) ).
tcf(c_207226,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_207095,c_67]) ).
tcf(c_207229,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_207095,c_167]) ).
tcf(c_207232,plain,
( frontsegP(cons(sK57,sK59),sK12(cons(sK57,sK59),sK59))
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK57,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_207095,c_378]) ).
tcf(c_207235,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_207095,c_225]) ).
tcf(c_207236,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_207095,c_226]) ).
tcf(c_207237,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_207095,c_176]) ).
tcf(c_207238,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_207095,c_165]) ).
tcf(c_207239,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_207095,c_193]) ).
tcf(c_207240,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_207095,c_186]) ).
tcf(c_207241,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_207095,c_166]) ).
tcf(c_207243,plain,
( frontsegP(cons(sK57,sK59),sK12(cons(sK57,sK59),sK59))
| ~ ssList(sK12(cons(sK57,sK59),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207232,c_12926]) ).
tcf(c_207248,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_207238,c_12926]) ).
tcf(c_207253,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_207237,c_12926]) ).
tcf(c_207259,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_207229,c_12926]) ).
tcf(c_207265,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_207236,c_12926]) ).
tcf(c_207270,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_207235,c_12926]) ).
tcf(c_207275,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_207226,c_207095]) ).
tcf(c_207276,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_207275,c_12926]) ).
tcf(c_207309,plain,
~ rearsegP(sK59,cons(sK57,sK59)),
inference(global_subsumption_just,[status(thm)],[c_207096,c_45944,c_46224]) ).
tcf(c_207320,plain,
frontsegP(cons(sK57,iPr_def_11),nil),
inference(global_subsumption_just,[status(thm)],[c_177431,c_21392,c_83430]) ).
tcf(c_207323,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_207320,c_174]) ).
tcf(c_207324,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_207320,c_63]) ).
tcf(c_207325,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_207324,c_141]) ).
tcf(c_207328,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_207323,c_141]) ).
tcf(c_207351,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_177785,c_184]) ).
tcf(c_207352,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_177785,c_66]) ).
tcf(c_207353,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_207352,c_172792]) ).
tcf(c_207356,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_207351,c_172792]) ).
tcf(c_207360,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_203810,c_67]) ).
tcf(c_207363,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_203810,c_167]) ).
tcf(c_207364,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ( cons(sK57,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_203810,c_231]) ).
tcf(c_207365,plain,
( ( nil = sK56 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ( cons(sK57,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_203810,c_230]) ).
tcf(c_207366,plain,
( frontsegP(cons(sK57,sK56),iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_203810,c_378]) ).
tcf(c_207367,plain,
( rearsegP(cons(sK57,sK56),sK56)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_203810,c_375]) ).
tcf(c_207368,plain,
( ssList(cons(sK57,sK56))
| ~ ssList(iPr_def_10)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_203810,c_153]) ).
tcf(c_207369,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_203810,c_225]) ).
tcf(c_207370,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_203810,c_226]) ).
tcf(c_207371,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_203810,c_176]) ).
tcf(c_207372,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_203810,c_165]) ).
tcf(c_207373,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_203810,c_193]) ).
tcf(c_207374,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK56),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(superposition,[status(thm)],[c_203810,c_186]) ).
tcf(c_207375,plain,
! [X0: $i] :
( memberP(cons(sK57,sK56),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(superposition,[status(thm)],[c_203810,c_166]) ).
tcf(c_207376,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( cons(sK57,sK56) != sK56 ) ),
inference(superposition,[status(thm)],[c_203810,c_185891]) ).
tcf(c_207377,plain,
( ( sK60 = sK56 )
| ~ ssList(sK56)
| ( cons(sK57,sK60) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_203810,c_198699]) ).
tcf(c_207378,plain,
ssList(cons(sK57,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_207368,c_172620,c_12924]) ).
tcf(c_207379,plain,
rearsegP(cons(sK57,sK56),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_207367,c_172620,c_12924]) ).
tcf(c_207380,plain,
frontsegP(cons(sK57,sK56),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_207366,c_172620,c_12924]) ).
tcf(c_207381,plain,
cons(sK57,sK56) != sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_207376,c_173666,c_172620]) ).
tcf(c_207382,plain,
( ( sK60 = sK56 )
| ( cons(sK57,sK60) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207377,c_12924]) ).
tcf(c_207388,plain,
cons(sK57,sK56) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_207364,c_173666,c_172620,c_12924]) ).
tcf(c_207389,plain,
! [X0: $i] :
( memberP(cons(sK57,sK56),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207375,c_172620,c_12924]) ).
tcf(c_207393,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK56),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207374,c_172620,c_12924]) ).
tcf(c_207397,plain,
! [X0: $i] :
( memberP(cons(sK57,sK56),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207372,c_172620,c_12924]) ).
tcf(c_207401,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207371,c_172620,c_12924]) ).
tcf(c_207405,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_207363,c_172620,c_12924]) ).
tcf(c_207410,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207370,c_172620,c_12924]) ).
tcf(c_207414,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(X0,sK56) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207369,c_172620,c_12924]) ).
tcf(c_207418,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_207373,c_172620,c_12924]) ).
tcf(c_207423,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_207360,c_203810]) ).
tcf(c_207424,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_207423,c_172620,c_12924]) ).
tcf(c_207482,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_207378,c_228]) ).
tcf(c_207483,plain,
tl(cons(sK7,cons(sK57,sK56))) = cons(sK57,sK56),
inference(superposition,[status(thm)],[c_207378,c_173802]) ).
tcf(c_207484,plain,
cons(sK57,app(cons(sK57,sK56),sK56)) = app(cons(sK57,cons(sK57,sK56)),sK56),
inference(superposition,[status(thm)],[c_207378,c_197354]) ).
tcf(c_207485,plain,
tl(cons(sK6,cons(sK57,sK56))) = cons(sK57,sK56),
inference(superposition,[status(thm)],[c_207378,c_173801]) ).
tcf(c_207486,plain,
cons(sK57,app(cons(sK57,sK56),sK59)) = app(cons(sK57,cons(sK57,sK56)),sK59),
inference(superposition,[status(thm)],[c_207378,c_197353]) ).
tcf(c_207487,plain,
hd(cons(sK7,cons(sK57,sK56))) = sK7,
inference(superposition,[status(thm)],[c_207378,c_173681]) ).
tcf(c_207488,plain,
hd(cons(sK6,cons(sK57,sK56))) = sK6,
inference(superposition,[status(thm)],[c_207378,c_173680]) ).
tcf(c_207489,plain,
cons(sK57,app(cons(sK57,sK56),sK60)) = app(cons(sK57,cons(sK57,sK56)),sK60),
inference(superposition,[status(thm)],[c_207378,c_197352]) ).
tcf(c_207490,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,sK56))) = app(cons(sK57,X0),cons(sK57,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_207378,c_181813]) ).
tcf(c_207491,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,sK56)) = tl(app(sK56,cons(sK57,sK56))) ) ),
inference(superposition,[status(thm)],[c_207378,c_180595]) ).
tcf(c_207492,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,sK56)) = tl(app(sK59,cons(sK57,sK56))) ) ),
inference(superposition,[status(thm)],[c_207378,c_180594]) ).
tcf(c_207493,plain,
( ( nil = sK60 )
| ( app(tl(sK60),cons(sK57,sK56)) = tl(app(sK60,cons(sK57,sK56))) ) ),
inference(superposition,[status(thm)],[c_207378,c_180593]) ).
tcf(c_207494,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_207378,c_124]) ).
tcf(c_207495,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_207378,c_116]) ).
tcf(c_207496,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_207378,c_108]) ).
tcf(c_207497,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,sK56))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_207378,c_178855]) ).
tcf(c_207498,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,sK56))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_207378,c_178854]) ).
tcf(c_207499,plain,
( ( nil = sK60 )
| ( hd(app(sK60,cons(sK57,sK56))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_207378,c_178853]) ).
tcf(c_207500,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_207378,c_234]) ).
tcf(c_207501,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_207378,c_132]) ).
tcf(c_207502,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = nil )
| ( hd(app(cons(sK57,sK56),X0)) = hd(cons(sK57,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_207378,c_233]) ).
tcf(c_207503,plain,
( ( cons(sK57,sK56) = nil )
| ( cons(hd(cons(sK57,sK56)),tl(cons(sK57,sK56))) = cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_207378,c_224]) ).
tcf(c_207504,plain,
( ( cons(sK57,sK56) = nil )
| ( cons(sK50(cons(sK57,sK56)),sK49(cons(sK57,sK56))) = cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_207378,c_147]) ).
tcf(c_207505,plain,
( ( cons(sK57,sK56) = nil )
| ( tl(cons(sK57,sK56)) = sK52(cons(sK57,sK56)) ) ),
inference(superposition,[status(thm)],[c_207378,c_222]) ).
tcf(c_207506,plain,
( ( cons(sK57,sK56) = nil )
| ( hd(cons(sK57,sK56)) = sK51(cons(sK57,sK56)) ) ),
inference(superposition,[status(thm)],[c_207378,c_220]) ).
tcf(c_207507,plain,
app(nil,cons(sK57,cons(sK57,sK56))) = cons(sK57,cons(sK57,sK56)),
inference(superposition,[status(thm)],[c_207378,c_173183]) ).
tcf(c_207508,plain,
tl(cons(sK57,cons(sK57,sK56))) = cons(sK57,sK56),
inference(superposition,[status(thm)],[c_207378,c_173821]) ).
tcf(c_207509,plain,
hd(cons(sK57,cons(sK57,sK56))) = sK57,
inference(superposition,[status(thm)],[c_207378,c_173700]) ).
tcf(c_207510,plain,
( ( cons(sK57,sK56) = nil )
| ( app(sK49(cons(sK57,sK56)),nil) = sK49(cons(sK57,sK56)) ) ),
inference(superposition,[status(thm)],[c_207378,c_172633]) ).
tcf(c_207511,plain,
( duplicatefreeP(cons(sK57,sK56))
| ( sK40(cons(sK57,sK56)) = sK41(cons(sK57,sK56)) ) ),
inference(superposition,[status(thm)],[c_207378,c_123]) ).
tcf(c_207512,plain,
app(cons(sK57,cons(sK57,sK56)),nil) = cons(sK57,cons(sK57,sK56)),
inference(superposition,[status(thm)],[c_207378,c_172683]) ).
tcf(c_207523,plain,
( ( cons(sK57,sK56) = nil )
| ( sK51(cons(sK57,sK56)) = sK57 ) ),
inference(light_normalisation,[status(thm)],[c_207506,c_173948]) ).
tcf(c_207526,plain,
( ( cons(sK57,sK56) = nil )
| ( sK52(cons(sK57,sK56)) = sK56 ) ),
inference(light_normalisation,[status(thm)],[c_207505,c_174095]) ).
tcf(c_207529,plain,
cons(sK57,cons(sK57,app(sK56,sK60))) = app(cons(sK57,cons(sK57,sK56)),sK60),
inference(light_normalisation,[status(thm)],[c_207489,c_197666]) ).
tcf(c_207530,plain,
cons(sK57,cons(sK57,app(sK56,sK59))) = app(cons(sK57,cons(sK57,sK56)),sK59),
inference(light_normalisation,[status(thm)],[c_207486,c_201028]) ).
tcf(c_207531,plain,
cons(sK57,cons(sK57,app(sK56,sK56))) = app(cons(sK57,cons(sK57,sK56)),sK56),
inference(light_normalisation,[status(thm)],[c_207484,c_203792]) ).
tcf(c_207545,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = nil )
| ( hd(app(cons(sK57,sK56),X0)) = sK57 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_207502,c_173948]) ).
tcf(c_207552,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = nil )
| ( tl(app(cons(sK57,sK56),X0)) = app(sK56,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_207500,c_174095]) ).
tcf(c_207724,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK56),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_207379,c_183]) ).
tcf(c_207725,plain,
( ( cons(sK57,sK56) = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56))
| ~ rearsegP(sK56,cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_207379,c_184]) ).
tcf(c_207726,plain,
( ( app(sK12(cons(sK57,sK56),sK56),sK56) = cons(sK57,sK56) )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_207379,c_66]) ).
tcf(c_207727,plain,
app(sK12(cons(sK57,sK56),sK56),sK56) = cons(sK57,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_207726,c_12924,c_207378]) ).
tcf(c_207728,plain,
( ( cons(sK57,sK56) = sK56 )
| ~ rearsegP(sK56,cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207725,c_12924,c_207378]) ).
tcf(c_207799,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_207380,c_173]) ).
tcf(c_207800,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_207380,c_174]) ).
tcf(c_207801,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_207380,c_63]) ).
tcf(c_207803,plain,
app(iPr_def_10,sK11(cons(sK57,sK56),iPr_def_10)) = cons(sK57,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_207801,c_172620,c_207378]) ).
tcf(c_207804,plain,
( ( cons(sK57,sK56) = iPr_def_10 )
| ~ frontsegP(iPr_def_10,cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207800,c_172620,c_207378]) ).
tcf(c_207814,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_207389,c_57]) ).
tcf(c_207816,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_207814,c_207378]) ).
tcf(c_207826,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_207393,c_183]) ).
tcf(c_207827,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_207393,c_184]) ).
tcf(c_207828,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_207393,c_66]) ).
tcf(c_207829,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_207828,c_207378]) ).
tcf(c_207833,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ rearsegP(X0,cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207827,c_207378]) ).
tcf(c_207838,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_207826,c_207378]) ).
tcf(c_207854,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_207397,c_57]) ).
tcf(c_207855,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ( X0 = sK57 )
| ~ ssList(sK56)
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_207397,c_170]) ).
tcf(c_207857,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_207854,c_207378]) ).
tcf(c_207867,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_207401,c_173]) ).
tcf(c_207868,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_207401,c_174]) ).
tcf(c_207869,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_207401,c_63]) ).
tcf(c_207870,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_207401,c_178]) ).
tcf(c_207871,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_207401,c_179]) ).
tcf(c_207873,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_207869,c_207378]) ).
tcf(c_207877,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_207868,c_207378]) ).
tcf(c_207882,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_207867,c_207378]) ).
tcf(c_207888,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_207871,c_12924,c_12925]) ).
tcf(c_207989,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_207727,c_67]) ).
tcf(c_207992,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_207727,c_167]) ).
tcf(c_207995,plain,
( frontsegP(cons(sK57,sK56),sK12(cons(sK57,sK56),sK56))
| ~ ssList(sK56)
| ~ ssList(sK12(cons(sK57,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_207727,c_378]) ).
tcf(c_207998,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_207727,c_225]) ).
tcf(c_207999,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_207727,c_226]) ).
tcf(c_208000,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_207727,c_176]) ).
tcf(c_208001,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_207727,c_165]) ).
tcf(c_208002,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_207727,c_193]) ).
tcf(c_208003,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_207727,c_186]) ).
tcf(c_208004,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_207727,c_166]) ).
tcf(c_208006,plain,
( frontsegP(cons(sK57,sK56),sK12(cons(sK57,sK56),sK56))
| ~ ssList(sK12(cons(sK57,sK56),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207995,c_12924]) ).
tcf(c_208011,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_208001,c_12924]) ).
tcf(c_208016,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_208000,c_12924]) ).
tcf(c_208022,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_207992,c_12924]) ).
tcf(c_208028,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_207999,c_12924]) ).
tcf(c_208033,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_207998,c_12924]) ).
tcf(c_208038,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_207989,c_207727]) ).
tcf(c_208039,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_208038,c_12924]) ).
tcf(c_208044,plain,
~ rearsegP(sK56,cons(sK57,sK56)),
inference(global_subsumption_just,[status(thm)],[c_207728,c_49787,c_50060]) ).
tcf(c_208052,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_175489,c_223]) ).
tcf(c_208053,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_175489,c_212]) ).
tcf(c_208054,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_175489,c_206]) ).
tcf(c_208081,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ~ frontsegP(sK12(sK56,nil),X0) ),
inference(superposition,[status(thm)],[c_177838,c_173]) ).
tcf(c_208082,plain,
( ( sK12(sK56,nil) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK12(sK56,nil))
| ~ frontsegP(sK12(sK56,nil),sK56) ),
inference(superposition,[status(thm)],[c_177838,c_174]) ).
tcf(c_208083,plain,
( ( app(sK12(sK56,nil),sK11(sK56,sK12(sK56,nil))) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK12(sK56,nil)) ),
inference(superposition,[status(thm)],[c_177838,c_63]) ).
tcf(c_208084,plain,
( ( app(sK12(sK56,nil),sK11(sK56,sK12(sK56,nil))) = sK56 )
| ~ ssList(sK12(sK56,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208083,c_12924]) ).
tcf(c_208093,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ~ frontsegP(sK12(sK59,nil),X0) ),
inference(superposition,[status(thm)],[c_177857,c_173]) ).
tcf(c_208094,plain,
( ( sK12(sK59,nil) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK12(sK59,nil))
| ~ frontsegP(sK12(sK59,nil),sK59) ),
inference(superposition,[status(thm)],[c_177857,c_174]) ).
tcf(c_208095,plain,
( ( app(sK12(sK59,nil),sK11(sK59,sK12(sK59,nil))) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK12(sK59,nil)) ),
inference(superposition,[status(thm)],[c_177857,c_63]) ).
tcf(c_208096,plain,
( frontsegP(iPr_def_11,sK12(sK59,nil))
| ~ ssList(sK12(sK59,nil)) ),
inference(superposition,[status(thm)],[c_177857,c_178136]) ).
tcf(c_208099,plain,
( ( app(sK12(sK59,nil),sK11(sK59,sK12(sK59,nil))) = sK59 )
| ~ ssList(sK12(sK59,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208095,c_12926]) ).
tcf(c_208108,plain,
! [X0: $i] :
( frontsegP(sK60,X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ ssList(sK12(sK60,nil))
| ~ frontsegP(sK12(sK60,nil),X0) ),
inference(superposition,[status(thm)],[c_177876,c_173]) ).
tcf(c_208109,plain,
( ( sK12(sK60,nil) = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK12(sK60,nil))
| ~ frontsegP(sK12(sK60,nil),sK60) ),
inference(superposition,[status(thm)],[c_177876,c_174]) ).
tcf(c_208110,plain,
( ( app(sK12(sK60,nil),sK11(sK60,sK12(sK60,nil))) = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK12(sK60,nil)) ),
inference(superposition,[status(thm)],[c_177876,c_63]) ).
tcf(c_208111,plain,
( ( app(sK12(sK60,nil),sK11(sK60,sK12(sK60,nil))) = sK60 )
| ~ ssList(sK12(sK60,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208110,c_12927]) ).
tcf(c_208116,plain,
frontsegP(cons(sK57,iPr_def_12),nil),
inference(global_subsumption_just,[status(thm)],[c_177950,c_22090,c_86120]) ).
tcf(c_208119,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_208116,c_174]) ).
tcf(c_208120,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_208116,c_63]) ).
tcf(c_208121,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_208120,c_141]) ).
tcf(c_208124,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_208119,c_141]) ).
tcf(c_208130,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_198738,c_223]) ).
tcf(c_208131,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_198738,c_212]) ).
tcf(c_208132,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_198738,c_206]) ).
tcf(c_208145,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_208130,c_198737]) ).
tcf(c_208155,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_199470,c_223]) ).
tcf(c_208156,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_199470,c_212]) ).
tcf(c_208157,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_199470,c_206]) ).
tcf(c_208170,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_208155,c_203167]) ).
tcf(c_208180,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_200475,c_223]) ).
tcf(c_208181,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_200475,c_212]) ).
tcf(c_208182,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_200475,c_206]) ).
tcf(c_208195,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_208180,c_204308]) ).
tcf(c_208233,plain,
~ rearsegP(sK60,cons(sK57,app(sK60,sK60))),
inference(global_subsumption_just,[status(thm)],[c_199242,c_43186,c_44373,c_44383,c_44920]) ).
tcf(c_208235,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_199325,c_67]) ).
tcf(c_208238,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_199325,c_167]) ).
tcf(c_208239,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_199325,c_231]) ).
tcf(c_208240,plain,
( ( nil = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60))
| ( cons(sK57,app(sK59,sK60)) != nil ) ),
inference(superposition,[status(thm)],[c_199325,c_230]) ).
tcf(c_208241,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_199325,c_378]) ).
tcf(c_208244,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_199325,c_225]) ).
tcf(c_208245,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_199325,c_226]) ).
tcf(c_208246,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_199325,c_176]) ).
tcf(c_208247,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_199325,c_165]) ).
tcf(c_208248,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_199325,c_193]) ).
tcf(c_208249,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_199325,c_186]) ).
tcf(c_208250,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_199325,c_166]) ).
tcf(c_208251,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_199325,c_198703]) ).
tcf(c_208252,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_199325,c_185907]) ).
tcf(c_208253,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_199325,c_185899]) ).
tcf(c_208254,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_208241,c_12927]) ).
tcf(c_208257,plain,
( ( nil = sK60 )
| ~ ssList(sK12(cons(sK57,app(sK59,sK60)),sK60))
| ( cons(sK57,app(sK59,sK60)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208240,c_12927]) ).
tcf(c_208261,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_208250,c_12927]) ).
tcf(c_208276,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_208248,c_12927]) ).
tcf(c_208282,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_208239,c_12927]) ).
tcf(c_208286,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_208247,c_12927]) ).
tcf(c_208291,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_208246,c_12927]) ).
tcf(c_208296,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_208238,c_12927]) ).
tcf(c_208302,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_208245,c_12927]) ).
tcf(c_208307,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_208244,c_12927]) ).
tcf(c_208312,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_208235,c_199325]) ).
tcf(c_208313,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_208312,c_12927]) ).
tcf(c_208357,plain,
~ rearsegP(sK60,cons(sK57,app(sK59,sK60))),
inference(global_subsumption_just,[status(thm)],[c_199326,c_43785,c_43784,c_44936,c_45941,c_45948]) ).
tcf(c_208363,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_200020,c_173]) ).
tcf(c_208364,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_200020,c_174]) ).
tcf(c_208365,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_200020,c_63]) ).
tcf(c_208367,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_208365,c_198667]) ).
tcf(c_208370,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_208364,c_198667]) ).
tcf(c_208561,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_200072,c_67]) ).
tcf(c_208564,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_200072,c_167]) ).
tcf(c_208565,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_200072,c_231]) ).
tcf(c_208566,plain,
( ( nil = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60))
| ( cons(sK57,app(sK56,sK60)) != nil ) ),
inference(superposition,[status(thm)],[c_200072,c_230]) ).
tcf(c_208567,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_200072,c_378]) ).
tcf(c_208570,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_200072,c_225]) ).
tcf(c_208571,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_200072,c_226]) ).
tcf(c_208572,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_200072,c_176]) ).
tcf(c_208573,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_200072,c_165]) ).
tcf(c_208574,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_200072,c_193]) ).
tcf(c_208575,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_200072,c_186]) ).
tcf(c_208576,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_200072,c_166]) ).
tcf(c_208577,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_200072,c_198703]) ).
tcf(c_208578,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_200072,c_185907]) ).
tcf(c_208579,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_200072,c_185899]) ).
tcf(c_208580,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_208567,c_12927]) ).
tcf(c_208583,plain,
( ( nil = sK60 )
| ~ ssList(sK12(cons(sK57,app(sK56,sK60)),sK60))
| ( cons(sK57,app(sK56,sK60)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208566,c_12927]) ).
tcf(c_208587,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_208576,c_12927]) ).
tcf(c_208602,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_208574,c_12927]) ).
tcf(c_208608,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_208565,c_12927]) ).
tcf(c_208612,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_208573,c_12927]) ).
tcf(c_208617,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_208572,c_12927]) ).
tcf(c_208622,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_208564,c_12927]) ).
tcf(c_208628,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_208571,c_12927]) ).
tcf(c_208633,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_208570,c_12927]) ).
tcf(c_208638,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_208561,c_200072]) ).
tcf(c_208639,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_208638,c_12927]) ).
tcf(c_208666,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_175490,c_67]) ).
tcf(c_208672,plain,
( frontsegP(sK49(tl(sK56)),sK49(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(nil)
| ~ ssList(sK49(tl(sK56))) ),
inference(superposition,[status(thm)],[c_175490,c_378]) ).
tcf(c_208673,plain,
( rearsegP(sK49(tl(sK56)),nil)
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(nil)
| ~ ssList(sK49(tl(sK56))) ),
inference(superposition,[status(thm)],[c_175490,c_375]) ).
tcf(c_208675,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_175490,c_225]) ).
tcf(c_208676,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_175490,c_226]) ).
tcf(c_208679,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_175490,c_193]) ).
tcf(c_208680,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_175490,c_186]) ).
tcf(c_208685,plain,
( rearsegP(sK49(tl(sK56)),nil)
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(sK49(tl(sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208673,c_141]) ).
tcf(c_208690,plain,
( frontsegP(sK49(tl(sK56)),sK49(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(sK49(tl(sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208672,c_141]) ).
tcf(c_208695,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_208680,c_141]) ).
tcf(c_208702,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_208679,c_141]) ).
tcf(c_208710,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_208676,c_141]) ).
tcf(c_208717,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_208675,c_141]) ).
tcf(c_208724,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_208666,c_141]) ).
tcf(c_208840,plain,
~ rearsegP(sK60,cons(sK57,app(sK56,sK60))),
inference(global_subsumption_just,[status(thm)],[c_200073,c_44044,c_44043,c_44953,c_49784,c_49791]) ).
tcf(c_208848,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_201390,c_57]) ).
tcf(c_208849,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_201390,c_170]) ).
tcf(c_208850,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_208849,c_12925]) ).
tcf(c_208856,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_208848,c_201374]) ).
tcf(c_208869,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_201394,c_173]) ).
tcf(c_208870,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_201394,c_174]) ).
tcf(c_208871,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_201394,c_63]) ).
tcf(c_208872,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_201394,c_178]) ).
tcf(c_208873,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_201394,c_179]) ).
tcf(c_208875,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_208869,c_201374]) ).
tcf(c_208881,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_208872,c_12925]) ).
tcf(c_208888,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_208873,c_12925]) ).
tcf(c_208895,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_208871,c_201374]) ).
tcf(c_208899,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_208870,c_201374]) ).
tcf(c_208991,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_201765,c_67]) ).
tcf(c_208994,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_201765,c_167]) ).
tcf(c_208997,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_201765,c_378]) ).
tcf(c_209000,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_201765,c_225]) ).
tcf(c_209001,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_201765,c_226]) ).
tcf(c_209002,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_201765,c_176]) ).
tcf(c_209003,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_201765,c_165]) ).
tcf(c_209004,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_201765,c_193]) ).
tcf(c_209005,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_201765,c_186]) ).
tcf(c_209006,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_201765,c_166]) ).
tcf(c_209008,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_208997,c_12926]) ).
tcf(c_209014,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_209003,c_12926]) ).
tcf(c_209019,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_209002,c_12926]) ).
tcf(c_209024,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_208994,c_12926]) ).
tcf(c_209030,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_209001,c_12926]) ).
tcf(c_209035,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_209000,c_12926]) ).
tcf(c_209040,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_208991,c_201765]) ).
tcf(c_209041,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_209040,c_12926]) ).
tcf(c_209046,plain,
~ rearsegP(sK59,cons(sK57,app(sK60,sK59))),
inference(global_subsumption_just,[status(thm)],[c_201766,c_45658,c_45893]) ).
tcf(c_209048,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_202963,c_67]) ).
tcf(c_209051,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_202963,c_167]) ).
tcf(c_209052,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_202963,c_231]) ).
tcf(c_209053,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59))
| ( cons(sK57,app(sK59,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_202963,c_230]) ).
tcf(c_209054,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_202963,c_378]) ).
tcf(c_209057,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_202963,c_225]) ).
tcf(c_209058,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_202963,c_226]) ).
tcf(c_209059,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_202963,c_176]) ).
tcf(c_209060,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_202963,c_165]) ).
tcf(c_209061,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_202963,c_193]) ).
tcf(c_209062,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_202963,c_186]) ).
tcf(c_209063,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_202963,c_166]) ).
tcf(c_209064,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_202963,c_185895]) ).
tcf(c_209065,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_209054,c_12926]) ).
tcf(c_209068,plain,
( ( nil = sK59 )
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59))
| ( cons(sK57,app(sK59,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209053,c_12926]) ).
tcf(c_209072,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_209063,c_12926]) ).
tcf(c_209081,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_209061,c_12926]) ).
tcf(c_209087,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_209052,c_12926]) ).
tcf(c_209091,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_209060,c_12926]) ).
tcf(c_209096,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_209059,c_12926]) ).
tcf(c_209101,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_209051,c_12926]) ).
tcf(c_209107,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_209058,c_12926]) ).
tcf(c_209112,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_209057,c_12926]) ).
tcf(c_209117,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_209048,c_202963]) ).
tcf(c_209118,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_209117,c_12926]) ).
tcf(c_209123,plain,
~ rearsegP(sK59,cons(sK57,app(sK59,sK59))),
inference(global_subsumption_just,[status(thm)],[c_202964,c_46480,c_46819]) ).
tcf(c_209125,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_202978,c_67]) ).
tcf(c_209128,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_202978,c_167]) ).
tcf(c_209129,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_202978,c_231]) ).
tcf(c_209130,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59))
| ( cons(sK57,app(sK56,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_202978,c_230]) ).
tcf(c_209131,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_202978,c_378]) ).
tcf(c_209134,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_202978,c_225]) ).
tcf(c_209135,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_202978,c_226]) ).
tcf(c_209136,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_202978,c_176]) ).
tcf(c_209137,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_202978,c_165]) ).
tcf(c_209138,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_202978,c_193]) ).
tcf(c_209139,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_202978,c_186]) ).
tcf(c_209140,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_202978,c_166]) ).
tcf(c_209141,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_202978,c_185895]) ).
tcf(c_209142,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_209131,c_12926]) ).
tcf(c_209145,plain,
( ( nil = sK59 )
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59))
| ( cons(sK57,app(sK56,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209130,c_12926]) ).
tcf(c_209149,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_209140,c_12926]) ).
tcf(c_209158,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_209138,c_12926]) ).
tcf(c_209164,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_209129,c_12926]) ).
tcf(c_209168,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_209137,c_12926]) ).
tcf(c_209173,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_209136,c_12926]) ).
tcf(c_209178,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_209128,c_12926]) ).
tcf(c_209184,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_209135,c_12926]) ).
tcf(c_209189,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_209134,c_12926]) ).
tcf(c_209194,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_209125,c_202978]) ).
tcf(c_209195,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_209194,c_12926]) ).
tcf(c_209204,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_175492,c_67]) ).
tcf(c_209210,plain,
( frontsegP(cons(sK57,tl(sK56)),cons(sK57,tl(sK56)))
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(cons(sK57,tl(sK56))) ),
inference(superposition,[status(thm)],[c_175492,c_378]) ).
tcf(c_209211,plain,
( rearsegP(cons(sK57,tl(sK56)),nil)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(cons(sK57,tl(sK56))) ),
inference(superposition,[status(thm)],[c_175492,c_375]) ).
tcf(c_209213,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_175492,c_225]) ).
tcf(c_209214,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_175492,c_226]) ).
tcf(c_209217,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_175492,c_193]) ).
tcf(c_209218,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_175492,c_186]) ).
tcf(c_209223,plain,
( rearsegP(cons(sK57,tl(sK56)),nil)
| ( nil = sK56 )
| ~ ssList(cons(sK57,tl(sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209211,c_141]) ).
tcf(c_209227,plain,
( frontsegP(cons(sK57,tl(sK56)),cons(sK57,tl(sK56)))
| ( nil = sK56 )
| ~ ssList(cons(sK57,tl(sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209210,c_141]) ).
tcf(c_209231,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_209218,c_141]) ).
tcf(c_209237,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_209217,c_141]) ).
tcf(c_209244,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_209214,c_141]) ).
tcf(c_209250,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_209213,c_141]) ).
tcf(c_209256,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_209204,c_141]) ).
tcf(c_209270,plain,
( frontsegP(iPr_def_12,sK59)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_173570,c_178132]) ).
tcf(c_209273,plain,
frontsegP(iPr_def_12,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_209270,c_12926]) ).
tcf(c_209301,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0) ),
inference(superposition,[status(thm)],[c_209273,c_173]) ).
tcf(c_209302,plain,
( ( sK59 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ~ frontsegP(sK59,iPr_def_12) ),
inference(superposition,[status(thm)],[c_209273,c_174]) ).
tcf(c_209303,plain,
( ( app(sK59,sK11(iPr_def_12,sK59)) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_209273,c_63]) ).
tcf(c_209304,plain,
( frontsegP(iPr_def_13,sK59)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_209273,c_178128]) ).
tcf(c_209305,plain,
frontsegP(iPr_def_13,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_209304,c_12926]) ).
tcf(c_209306,plain,
app(sK59,sK11(iPr_def_12,sK59)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_209303,c_172792,c_12926]) ).
tcf(c_209307,plain,
( ( sK59 = iPr_def_12 )
| ~ frontsegP(sK59,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209302,c_172792,c_12926]) ).
tcf(c_209310,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209301,c_172792,c_12926]) ).
tcf(c_209340,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0) ),
inference(superposition,[status(thm)],[c_209305,c_173]) ).
tcf(c_209341,plain,
( ( sK59 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK59)
| ~ frontsegP(sK59,iPr_def_13) ),
inference(superposition,[status(thm)],[c_209305,c_174]) ).
tcf(c_209342,plain,
( ( app(sK59,sK11(iPr_def_13,sK59)) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_209305,c_63]) ).
tcf(c_209343,plain,
app(sK59,sK11(iPr_def_13,sK59)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_209342,c_172129,c_12926]) ).
tcf(c_209344,plain,
( ( sK59 = iPr_def_13 )
| ~ frontsegP(sK59,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209341,c_172129,c_12926]) ).
tcf(c_209347,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209340,c_172129,c_12926]) ).
tcf(c_209371,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_209306,c_67]) ).
tcf(c_209374,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_209306,c_167]) ).
tcf(c_209378,plain,
( rearsegP(iPr_def_12,sK11(iPr_def_12,sK59))
| ~ ssList(sK59)
| ~ ssList(sK11(iPr_def_12,sK59)) ),
inference(superposition,[status(thm)],[c_209306,c_375]) ).
tcf(c_209380,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_209306,c_225]) ).
tcf(c_209381,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_209306,c_226]) ).
tcf(c_209382,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_209306,c_176]) ).
tcf(c_209383,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_209306,c_165]) ).
tcf(c_209384,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_209306,c_193]) ).
tcf(c_209385,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_209306,c_186]) ).
tcf(c_209386,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_209306,c_166]) ).
tcf(c_209388,plain,
( ( sK11(iPr_def_12,sK59) = nil )
| ~ ssList(sK11(iPr_def_12,sK59))
| ( sK59 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_209306,c_186536]) ).
tcf(c_209389,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_209306,c_187715]) ).
tcf(c_209390,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK11(iPr_def_12,sK59)) ),
inference(superposition,[status(thm)],[c_209306,c_188666]) ).
tcf(c_209391,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(iPr_def_12,sK59)) ),
inference(superposition,[status(thm)],[c_209306,c_188646]) ).
tcf(c_209392,plain,
( rearsegP(iPr_def_12,sK11(iPr_def_12,sK59))
| ~ ssList(sK11(iPr_def_12,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209378,c_12926]) ).
tcf(c_209403,plain,
( segmentP(iPr_def_12,sK59)
| ~ ssList(iPr_def_12)
| ~ ssList(sK11(iPr_def_12,sK59)) ),
inference(light_normalisation,[status(thm)],[c_209389,c_209306]) ).
tcf(c_209404,plain,
( segmentP(iPr_def_12,sK59)
| ~ ssList(sK11(iPr_def_12,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209403,c_172792]) ).
tcf(c_209410,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_209383,c_12926]) ).
tcf(c_209416,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_209386,c_12926]) ).
tcf(c_209421,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_209385,c_12926]) ).
tcf(c_209426,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_209374,c_12926]) ).
tcf(c_209432,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_209381,c_12926]) ).
tcf(c_209437,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_209380,c_12926]) ).
tcf(c_209442,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_209384,c_12926]) ).
tcf(c_209448,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_209371,c_209306]) ).
tcf(c_209449,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_209448,c_12926]) ).
tcf(c_209741,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_209343,c_67]) ).
tcf(c_209744,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_209343,c_167]) ).
tcf(c_209748,plain,
( rearsegP(iPr_def_13,sK11(iPr_def_13,sK59))
| ~ ssList(sK59)
| ~ ssList(sK11(iPr_def_13,sK59)) ),
inference(superposition,[status(thm)],[c_209343,c_375]) ).
tcf(c_209750,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_209343,c_225]) ).
tcf(c_209751,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_209343,c_226]) ).
tcf(c_209752,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_209343,c_176]) ).
tcf(c_209753,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_209343,c_165]) ).
tcf(c_209754,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_209343,c_193]) ).
tcf(c_209755,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_209343,c_186]) ).
tcf(c_209756,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_209343,c_166]) ).
tcf(c_209757,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_209343,c_186572]) ).
tcf(c_209758,plain,
( ( sK11(iPr_def_13,sK59) = nil )
| ~ ssList(sK11(iPr_def_13,sK59))
| ( sK59 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_209343,c_186536]) ).
tcf(c_209759,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_209343,c_187715]) ).
tcf(c_209760,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK11(iPr_def_13,sK59)) ),
inference(superposition,[status(thm)],[c_209343,c_188666]) ).
tcf(c_209762,plain,
( rearsegP(iPr_def_13,sK11(iPr_def_13,sK59))
| ~ ssList(sK11(iPr_def_13,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209748,c_12926]) ).
tcf(c_209769,plain,
( segmentP(iPr_def_13,sK59)
| ~ ssList(iPr_def_13)
| ~ ssList(sK11(iPr_def_13,sK59)) ),
inference(light_normalisation,[status(thm)],[c_209759,c_209343]) ).
tcf(c_209770,plain,
( segmentP(iPr_def_13,sK59)
| ~ ssList(sK11(iPr_def_13,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209769,c_172129]) ).
tcf(c_209779,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_209753,c_12926]) ).
tcf(c_209785,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_209756,c_12926]) ).
tcf(c_209790,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_209755,c_12926]) ).
tcf(c_209795,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_209744,c_12926]) ).
tcf(c_209801,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_209751,c_12926]) ).
tcf(c_209806,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_209750,c_12926]) ).
tcf(c_209811,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_209754,c_12926]) ).
tcf(c_209817,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_209741,c_209343]) ).
tcf(c_209818,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_209817,c_12926]) ).
tcf(c_209938,plain,
( frontsegP(iPr_def_12,sK12(sK59,nil))
| ~ ssList(sK12(sK59,nil)) ),
inference(superposition,[status(thm)],[c_177857,c_209310]) ).
tcf(c_209951,plain,
( frontsegP(iPr_def_13,sK12(sK59,nil))
| ~ ssList(sK12(sK59,nil)) ),
inference(superposition,[status(thm)],[c_177857,c_209347]) ).
tcf(c_209958,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_209392,c_183]) ).
tcf(c_209959,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_209392,c_184]) ).
tcf(c_209960,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_209392,c_66]) ).
tcf(c_209961,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_209960,c_172792]) ).
tcf(c_209964,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_209959,c_172792]) ).
tcf(c_209973,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_209762,c_183]) ).
tcf(c_209974,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_209762,c_184]) ).
tcf(c_209975,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_209762,c_66]) ).
tcf(c_209976,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_209975,c_172129]) ).
tcf(c_209979,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_209974,c_172129]) ).
tcf(c_209984,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(global_subsumption_just,[status(thm)],[c_209410,c_58505]) ).
tcf(c_209992,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(global_subsumption_just,[status(thm)],[c_209779,c_58514]) ).
tcf(c_210004,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_175493,c_67]) ).
tcf(c_210010,plain,
( frontsegP(tl(sK56),tl(sK56))
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(tl(sK56)) ),
inference(superposition,[status(thm)],[c_175493,c_378]) ).
tcf(c_210011,plain,
( rearsegP(tl(sK56),nil)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(tl(sK56)) ),
inference(superposition,[status(thm)],[c_175493,c_375]) ).
tcf(c_210013,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_175493,c_225]) ).
tcf(c_210014,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_175493,c_226]) ).
tcf(c_210017,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_175493,c_193]) ).
tcf(c_210018,plain,
! [X0: $i] :
( rearsegP(tl(sK56),X0)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_175493,c_186]) ).
tcf(c_210019,plain,
! [X0: $i] :
( memberP(tl(sK56),X0)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(tl(sK56))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_175493,c_166]) ).
tcf(c_210023,plain,
( rearsegP(tl(sK56),nil)
| ( nil = sK56 )
| ~ ssList(tl(sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210011,c_141]) ).
tcf(c_210027,plain,
( frontsegP(tl(sK56),tl(sK56))
| ( nil = sK56 )
| ~ ssList(tl(sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210010,c_141]) ).
tcf(c_210031,plain,
! [X0: $i] :
( memberP(tl(sK56),X0)
| ( nil = sK56 )
| ~ ssItem(X0)
| ~ ssList(tl(sK56))
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210019,c_141]) ).
tcf(c_210037,plain,
! [X0: $i] :
( rearsegP(tl(sK56),X0)
| ( nil = sK56 )
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210018,c_141]) ).
tcf(c_210043,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_210017,c_141]) ).
tcf(c_210050,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_210014,c_141]) ).
tcf(c_210056,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_210013,c_141]) ).
tcf(c_210062,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_210004,c_141]) ).
tcf(c_210087,plain,
frontsegP(cons(sK57,iPr_def_10),nil),
inference(global_subsumption_just,[status(thm)],[c_178775,c_22816,c_86947]) ).
tcf(c_210090,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_210087,c_174]) ).
tcf(c_210091,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_210087,c_63]) ).
tcf(c_210092,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_210091,c_141]) ).
tcf(c_210095,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_210090,c_141]) ).
tcf(c_210103,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_178864]) ).
tcf(c_210104,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_178864]) ).
tcf(c_210105,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_178864]) ).
tcf(c_210106,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_178864]) ).
tcf(c_210107,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_178864]) ).
tcf(c_210108,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_178864]) ).
tcf(c_210109,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_178864]) ).
tcf(c_210119,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(app(iPr_def_10,sK34(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_178864]) ).
tcf(c_210120,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(app(iPr_def_10,sK33(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_178864]) ).
tcf(c_210121,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(app(iPr_def_10,sK32(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_178864]) ).
tcf(c_210122,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(app(iPr_def_10,sK39(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_178864]) ).
tcf(c_210123,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(app(iPr_def_10,sK38(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_178864]) ).
tcf(c_210124,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(app(iPr_def_10,sK37(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_178864]) ).
tcf(c_210125,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(app(iPr_def_10,sK44(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_178864]) ).
tcf(c_210126,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(app(iPr_def_10,sK43(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_178864]) ).
tcf(c_210127,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(app(iPr_def_10,sK42(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_178864]) ).
tcf(c_210128,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(app(iPr_def_10,sK48(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_178864]) ).
tcf(c_210129,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(app(iPr_def_10,sK47(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_178864]) ).
tcf(c_210130,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_178864]) ).
tcf(c_210131,plain,
hd(app(iPr_def_10,nil)) = sK57,
inference(superposition,[status(thm)],[c_141,c_178864]) ).
tcf(c_210132,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(app(iPr_def_10,sK49(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_178864]) ).
tcf(c_210133,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(app(iPr_def_10,tl(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_178864]) ).
tcf(c_210134,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(app(iPr_def_10,sK52(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_178864]) ).
tcf(c_210135,plain,
hd(app(iPr_def_10,sK60)) = sK57,
inference(superposition,[status(thm)],[c_12927,c_178864]) ).
tcf(c_210136,plain,
hd(app(iPr_def_10,sK59)) = sK57,
inference(superposition,[status(thm)],[c_12926,c_178864]) ).
tcf(c_210137,plain,
hd(app(iPr_def_10,sK56)) = sK57,
inference(superposition,[status(thm)],[c_12924,c_178864]) ).
tcf(c_210138,plain,
hd(app(iPr_def_10,iPr_def_13)) = sK57,
inference(superposition,[status(thm)],[c_172129,c_178864]) ).
tcf(c_210139,plain,
hd(app(iPr_def_10,iPr_def_11)) = sK57,
inference(superposition,[status(thm)],[c_172791,c_178864]) ).
tcf(c_210140,plain,
hd(app(iPr_def_10,iPr_def_12)) = sK57,
inference(superposition,[status(thm)],[c_172792,c_178864]) ).
tcf(c_210141,plain,
hd(app(iPr_def_10,iPr_def_10)) = sK57,
inference(superposition,[status(thm)],[c_172620,c_178864]) ).
tcf(c_210142,plain,
hd(app(iPr_def_10,cons(sK57,sK60))) = sK57,
inference(superposition,[status(thm)],[c_198667,c_178864]) ).
tcf(c_210143,plain,
hd(app(iPr_def_10,cons(sK57,sK59))) = sK57,
inference(superposition,[status(thm)],[c_206768,c_178864]) ).
tcf(c_210144,plain,
hd(app(iPr_def_10,cons(sK57,sK56))) = sK57,
inference(superposition,[status(thm)],[c_207378,c_178864]) ).
tcf(c_210145,plain,
( ( nil = sK60 )
| ( hd(app(iPr_def_10,tl(sK60))) = sK57 ) ),
inference(superposition,[status(thm)],[c_175037,c_178864]) ).
tcf(c_210146,plain,
( ( nil = sK59 )
| ( hd(app(iPr_def_10,tl(sK59))) = sK57 ) ),
inference(superposition,[status(thm)],[c_175432,c_178864]) ).
tcf(c_210147,plain,
( ( nil = sK56 )
| ( hd(app(iPr_def_10,tl(sK56))) = sK57 ) ),
inference(superposition,[status(thm)],[c_175478,c_178864]) ).
tcf(c_210148,plain,
hd(app(iPr_def_10,tl(iPr_def_13))) = sK57,
inference(superposition,[status(thm)],[c_181732,c_178864]) ).
tcf(c_210149,plain,
hd(app(iPr_def_10,tl(iPr_def_11))) = sK57,
inference(superposition,[status(thm)],[c_182529,c_178864]) ).
tcf(c_210150,plain,
hd(app(iPr_def_10,tl(iPr_def_12))) = sK57,
inference(superposition,[status(thm)],[c_183724,c_178864]) ).
tcf(c_210151,plain,
hd(app(iPr_def_10,cons(sK57,app(sK60,sK60)))) = sK57,
inference(superposition,[status(thm)],[c_198025,c_178864]) ).
tcf(c_210152,plain,
hd(app(iPr_def_10,cons(sK57,app(sK59,sK60)))) = sK57,
inference(superposition,[status(thm)],[c_198362,c_178864]) ).
tcf(c_210153,plain,
hd(app(iPr_def_10,cons(sK57,app(sK56,sK60)))) = sK57,
inference(superposition,[status(thm)],[c_199136,c_178864]) ).
tcf(c_210154,plain,
hd(app(iPr_def_10,cons(sK57,app(sK60,sK59)))) = sK57,
inference(superposition,[status(thm)],[c_201374,c_178864]) ).
tcf(c_210155,plain,
hd(app(iPr_def_10,cons(sK57,app(sK59,sK59)))) = sK57,
inference(superposition,[status(thm)],[c_202138,c_178864]) ).
tcf(c_210156,plain,
hd(app(iPr_def_10,cons(sK57,app(sK56,sK59)))) = sK57,
inference(superposition,[status(thm)],[c_202532,c_178864]) ).
tcf(c_210157,plain,
hd(app(iPr_def_10,cons(sK57,app(sK60,sK56)))) = sK57,
inference(superposition,[status(thm)],[c_204510,c_178864]) ).
tcf(c_210158,plain,
hd(app(iPr_def_10,cons(sK57,app(sK59,sK56)))) = sK57,
inference(superposition,[status(thm)],[c_204938,c_178864]) ).
tcf(c_210159,plain,
hd(app(iPr_def_10,cons(sK57,app(sK56,sK56)))) = sK57,
inference(superposition,[status(thm)],[c_205422,c_178864]) ).
tcf(c_210582,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_210138,c_223]) ).
tcf(c_210583,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_210138,c_212]) ).
tcf(c_210584,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_210138,c_206]) ).
tcf(c_210606,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_210139,c_223]) ).
tcf(c_210607,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_210139,c_212]) ).
tcf(c_210608,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_210139,c_206]) ).
tcf(c_210630,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_210140,c_223]) ).
tcf(c_210631,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_210140,c_212]) ).
tcf(c_210632,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_210140,c_206]) ).
tcf(c_210654,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_210141,c_223]) ).
tcf(c_210655,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_210141,c_212]) ).
tcf(c_210656,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_210141,c_206]) ).
tcf(c_210676,plain,
~ rearsegP(sK59,cons(sK57,app(sK56,sK59))),
inference(global_subsumption_just,[status(thm)],[c_202979,c_47053,c_47052,c_48253,c_49784,c_49791]) ).
tcf(c_210684,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_204526,c_57]) ).
tcf(c_210685,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_204526,c_170]) ).
tcf(c_210686,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_210685,c_12925]) ).
tcf(c_210692,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_210684,c_204510]) ).
tcf(c_210702,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_204530,c_173]) ).
tcf(c_210703,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_204530,c_174]) ).
tcf(c_210704,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_204530,c_63]) ).
tcf(c_210705,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_204530,c_178]) ).
tcf(c_210706,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_204530,c_179]) ).
tcf(c_210708,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_210702,c_204510]) ).
tcf(c_210714,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_210705,c_12925]) ).
tcf(c_210721,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_210706,c_12925]) ).
tcf(c_210728,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_210704,c_204510]) ).
tcf(c_210732,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_210703,c_204510]) ).
tcf(c_210737,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_204741,c_67]) ).
tcf(c_210740,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_204741,c_167]) ).
tcf(c_210743,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_204741,c_378]) ).
tcf(c_210746,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_204741,c_225]) ).
tcf(c_210747,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_204741,c_226]) ).
tcf(c_210748,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_204741,c_176]) ).
tcf(c_210749,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_204741,c_165]) ).
tcf(c_210750,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_204741,c_193]) ).
tcf(c_210751,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_204741,c_186]) ).
tcf(c_210752,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_204741,c_166]) ).
tcf(c_210754,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_210743,c_12924]) ).
tcf(c_210760,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_210749,c_12924]) ).
tcf(c_210765,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_210748,c_12924]) ).
tcf(c_210770,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_210740,c_12924]) ).
tcf(c_210776,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_210747,c_12924]) ).
tcf(c_210781,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_210746,c_12924]) ).
tcf(c_210786,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_210737,c_204741]) ).
tcf(c_210787,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_210786,c_12924]) ).
tcf(c_210792,plain,
~ rearsegP(sK56,cons(sK57,app(sK60,sK56))),
inference(global_subsumption_just,[status(thm)],[c_204742,c_49427,c_49689]) ).
tcf(c_210794,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_205650,c_67]) ).
tcf(c_210797,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_205650,c_167]) ).
tcf(c_210798,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_205650,c_231]) ).
tcf(c_210799,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56))
| ( cons(sK57,app(sK59,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_205650,c_230]) ).
tcf(c_210800,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_205650,c_378]) ).
tcf(c_210803,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_205650,c_225]) ).
tcf(c_210804,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_205650,c_226]) ).
tcf(c_210805,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_205650,c_176]) ).
tcf(c_210806,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_205650,c_165]) ).
tcf(c_210807,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_205650,c_193]) ).
tcf(c_210808,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_205650,c_186]) ).
tcf(c_210809,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_205650,c_166]) ).
tcf(c_210810,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_205650,c_185891]) ).
tcf(c_210811,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_210800,c_12924]) ).
tcf(c_210814,plain,
( ( nil = sK56 )
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56))
| ( cons(sK57,app(sK59,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210799,c_12924]) ).
tcf(c_210818,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_210809,c_12924]) ).
tcf(c_210827,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_210807,c_12924]) ).
tcf(c_210833,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_210798,c_12924]) ).
tcf(c_210837,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_210806,c_12924]) ).
tcf(c_210842,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_210805,c_12924]) ).
tcf(c_210847,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_210797,c_12924]) ).
tcf(c_210853,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_210804,c_12924]) ).
tcf(c_210858,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_210803,c_12924]) ).
tcf(c_210863,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_210794,c_205650]) ).
tcf(c_210864,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_210863,c_12924]) ).
tcf(c_210889,plain,
~ rearsegP(sK56,cons(sK57,app(sK59,sK56))),
inference(global_subsumption_just,[status(thm)],[c_205651,c_50586,c_50869]) ).
tcf(c_210891,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_205663,c_67]) ).
tcf(c_210894,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_205663,c_167]) ).
tcf(c_210895,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_205663,c_231]) ).
tcf(c_210896,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56))
| ( cons(sK57,app(sK56,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_205663,c_230]) ).
tcf(c_210897,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_205663,c_378]) ).
tcf(c_210900,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_205663,c_225]) ).
tcf(c_210901,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_205663,c_226]) ).
tcf(c_210902,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_205663,c_176]) ).
tcf(c_210903,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_205663,c_165]) ).
tcf(c_210904,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_205663,c_193]) ).
tcf(c_210905,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_205663,c_186]) ).
tcf(c_210906,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_205663,c_166]) ).
tcf(c_210907,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_205663,c_185891]) ).
tcf(c_210908,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_210897,c_12924]) ).
tcf(c_210911,plain,
( ( nil = sK56 )
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56))
| ( cons(sK57,app(sK56,sK56)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210896,c_12924]) ).
tcf(c_210915,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_210906,c_12924]) ).
tcf(c_210924,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_210904,c_12924]) ).
tcf(c_210930,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_210895,c_12924]) ).
tcf(c_210934,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_210903,c_12924]) ).
tcf(c_210939,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_210902,c_12924]) ).
tcf(c_210944,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_210894,c_12924]) ).
tcf(c_210950,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_210901,c_12924]) ).
tcf(c_210955,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_210900,c_12924]) ).
tcf(c_210960,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_210891,c_205663]) ).
tcf(c_210961,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_210960,c_12924]) ).
tcf(c_211078,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_175494,c_67]) ).
tcf(c_211084,plain,
( frontsegP(tl(sK56),nil)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(tl(sK56)) ),
inference(superposition,[status(thm)],[c_175494,c_378]) ).
tcf(c_211085,plain,
( rearsegP(tl(sK56),tl(sK56))
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(tl(sK56)) ),
inference(superposition,[status(thm)],[c_175494,c_375]) ).
tcf(c_211087,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_175494,c_225]) ).
tcf(c_211091,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_175494,c_226]) ).
tcf(c_211092,plain,
! [X0: $i] :
( frontsegP(tl(sK56),X0)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_175494,c_176]) ).
tcf(c_211094,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_175494,c_193]) ).
tcf(c_211097,plain,
( frontsegP(tl(sK56),nil)
| ( nil = sK56 )
| ~ ssList(tl(sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211084,c_141]) ).
tcf(c_211101,plain,
( rearsegP(tl(sK56),tl(sK56))
| ( nil = sK56 )
| ~ ssList(tl(sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211085,c_141]) ).
tcf(c_211105,plain,
! [X0: $i] :
( frontsegP(tl(sK56),X0)
| ( nil = sK56 )
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211092,c_141]) ).
tcf(c_211111,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_211091,c_141]) ).
tcf(c_211117,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_211087,c_141]) ).
tcf(c_211123,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_211094,c_141]) ).
tcf(c_211130,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_211078,c_141]) ).
tcf(c_211202,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_179699,c_184]) ).
tcf(c_211203,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_179699,c_66]) ).
tcf(c_211204,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_211203,c_172791]) ).
tcf(c_211207,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_211202,c_172791]) ).
tcf(c_211216,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_179721,c_184]) ).
tcf(c_211217,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_179721,c_66]) ).
tcf(c_211218,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_179721,c_178574]) ).
tcf(c_211219,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_179721,c_178578]) ).
tcf(c_211224,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_211217,c_172620]) ).
tcf(c_211227,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_211216,c_172620]) ).
tcf(c_211236,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_179752,c_184]) ).
tcf(c_211237,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_179752,c_66]) ).
tcf(c_211238,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_211237,c_172129]) ).
tcf(c_211241,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_211236,c_172129]) ).
tcf(c_211245,plain,
rearsegP(nil,sK11(nil,nil)),
inference(global_subsumption_just,[status(thm)],[c_180063,c_141,c_181,c_324,c_25015]) ).
tcf(c_211248,plain,
( ( sK11(nil,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),nil) ),
inference(superposition,[status(thm)],[c_211245,c_184]) ).
tcf(c_211249,plain,
( ( app(sK12(nil,sK11(nil,nil)),sK11(nil,nil)) = nil )
| ~ ssList(nil)
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_211245,c_66]) ).
tcf(c_211250,plain,
( rearsegP(iPr_def_13,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_211245,c_178554]) ).
tcf(c_211251,plain,
( rearsegP(iPr_def_10,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_211245,c_178550]) ).
tcf(c_211252,plain,
( rearsegP(iPr_def_11,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_211245,c_178546]) ).
tcf(c_211253,plain,
( rearsegP(iPr_def_12,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_211245,c_178542]) ).
tcf(c_211254,plain,
( rearsegP(sK60,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_211245,c_178566]) ).
tcf(c_211255,plain,
( rearsegP(sK59,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_211245,c_178562]) ).
tcf(c_211256,plain,
( rearsegP(sK56,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_211245,c_178558]) ).
tcf(c_211272,plain,
( ( app(sK12(nil,sK11(nil,nil)),sK11(nil,nil)) = nil )
| ~ ssList(sK11(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211249,c_141]) ).
tcf(c_211276,plain,
segmentP(iPr_def_12,sK59),
inference(global_subsumption_just,[status(thm)],[c_209404,c_59075]) ).
tcf(c_211278,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_211276,c_70]) ).
tcf(c_211279,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_211276,c_190]) ).
tcf(c_211280,plain,
( ( sK59 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ~ segmentP(sK59,iPr_def_12) ),
inference(superposition,[status(thm)],[c_211276,c_191]) ).
tcf(c_211281,plain,
( ( sK59 = iPr_def_12 )
| ~ segmentP(sK59,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211280,c_172792,c_12926]) ).
tcf(c_211284,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211279,c_172792,c_12926]) ).
tcf(c_211288,plain,
app(app(sK13(iPr_def_12,sK59),sK59),sK14(iPr_def_12,sK59)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_211278,c_172792,c_12926]) ).
tcf(c_211289,plain,
segmentP(iPr_def_13,sK59),
inference(global_subsumption_just,[status(thm)],[c_209770,c_59093]) ).
tcf(c_211291,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_211289,c_70]) ).
tcf(c_211292,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_211289,c_190]) ).
tcf(c_211293,plain,
( ( sK59 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK59)
| ~ segmentP(sK59,iPr_def_13) ),
inference(superposition,[status(thm)],[c_211289,c_191]) ).
tcf(c_211294,plain,
( ( sK59 = iPr_def_13 )
| ~ segmentP(sK59,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211293,c_172129,c_12926]) ).
tcf(c_211297,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211292,c_172129,c_12926]) ).
tcf(c_211301,plain,
app(app(sK13(iPr_def_13,sK59),sK59),sK14(iPr_def_13,sK59)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_211291,c_172129,c_12926]) ).
tcf(c_211304,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_210148,c_223]) ).
tcf(c_211305,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_210148,c_212]) ).
tcf(c_211306,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_210148,c_206]) ).
tcf(c_211328,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_210149,c_223]) ).
tcf(c_211329,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_210149,c_212]) ).
tcf(c_211330,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_210149,c_206]) ).
tcf(c_211365,plain,
( segmentP(iPr_def_12,nil)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_194,c_211284]) ).
tcf(c_211367,plain,
segmentP(iPr_def_12,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_211365,c_12926,c_141]) ).
tcf(c_211368,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_211367,c_70]) ).
tcf(c_211369,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_211367,c_190]) ).
tcf(c_211370,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ segmentP(nil,iPr_def_12) ),
inference(superposition,[status(thm)],[c_211367,c_191]) ).
tcf(c_211371,plain,
~ segmentP(nil,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_211370,c_176912,c_172792,c_141]) ).
tcf(c_211372,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211369,c_172792,c_141]) ).
tcf(c_211376,plain,
app(app(sK13(iPr_def_12,nil),nil),sK14(iPr_def_12,nil)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_211368,c_172792,c_141]) ).
tcf(c_211386,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_211288,c_67]) ).
tcf(c_211389,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_211288,c_167]) ).
tcf(c_211392,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_211288,c_378]) ).
tcf(c_211393,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_211288,c_375]) ).
tcf(c_211395,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_211288,c_225]) ).
tcf(c_211397,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_211288,c_226]) ).
tcf(c_211398,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_211288,c_176]) ).
tcf(c_211399,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_211288,c_165]) ).
tcf(c_211400,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_211288,c_193]) ).
tcf(c_211401,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_211288,c_186]) ).
tcf(c_211402,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_211288,c_166]) ).
tcf(c_211403,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_211288,c_193]) ).
tcf(c_211453,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_211386,c_211288]) ).
tcf(c_211686,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_211301,c_67]) ).
tcf(c_211689,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_211301,c_167]) ).
tcf(c_211692,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_211301,c_378]) ).
tcf(c_211693,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_211301,c_375]) ).
tcf(c_211695,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_211301,c_225]) ).
tcf(c_211697,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_211301,c_226]) ).
tcf(c_211698,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_211301,c_176]) ).
tcf(c_211699,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_211301,c_165]) ).
tcf(c_211700,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_211301,c_193]) ).
tcf(c_211701,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_211301,c_186]) ).
tcf(c_211702,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_211301,c_166]) ).
tcf(c_211703,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_211301,c_193]) ).
tcf(c_211753,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_211686,c_211301]) ).
tcf(c_211869,plain,
~ rearsegP(sK56,cons(sK57,app(sK56,sK56))),
inference(global_subsumption_just,[status(thm)],[c_205664,c_50949,c_51461]) ).
tcf(c_211871,plain,
cons(sK50(iPr_def_13),sK49(iPr_def_13)) = iPr_def_13,
inference(global_subsumption_just,[status(thm)],[c_175643,c_19620,c_21048]) ).
tcf(c_211873,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_211871,c_130]) ).
tcf(c_211874,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_211871,c_122]) ).
tcf(c_211875,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_211871,c_114]) ).
tcf(c_211876,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_211871,c_130]) ).
tcf(c_211880,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_211871,c_54]) ).
tcf(c_211881,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_211871,c_122]) ).
tcf(c_211882,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_211871,c_114]) ).
tcf(c_211886,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_211871,c_137]) ).
tcf(c_211889,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_211871,c_178]) ).
tcf(c_211890,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_211871,c_179]) ).
tcf(c_211891,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_211871,c_189707]) ).
tcf(c_211892,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_211871,c_189571]) ).
tcf(c_211893,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_211871,c_189128]) ).
tcf(c_211894,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_211871,c_189123]) ).
tcf(c_211895,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_211871,c_188375]) ).
tcf(c_211896,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_211871,c_144]) ).
tcf(c_211897,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_211871,c_143]) ).
tcf(c_211898,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_211871,c_178]) ).
tcf(c_211899,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_211871,c_179]) ).
tcf(c_211900,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_211871,c_170]) ).
tcf(c_211901,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_211871,c_214]) ).
tcf(c_211902,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_211871,c_208]) ).
tcf(c_211903,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_211871,c_213]) ).
tcf(c_211904,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_211871,c_207]) ).
tcf(c_211906,plain,
( ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13))
| ( sK49(iPr_def_13) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_211871,c_142]) ).
tcf(c_211907,plain,
( memberP(iPr_def_13,sK50(iPr_def_13))
| ~ ssList(sK49(iPr_def_13))
| ~ ssItem(sK50(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_211871,c_168]) ).
tcf(c_211909,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_211871,c_177]) ).
tcf(c_211910,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_211871,c_169]) ).
tcf(c_211911,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_211871,c_177]) ).
tcf(c_211943,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_211904,c_176164]) ).
tcf(c_211948,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_211903,c_176158]) ).
tcf(c_211963,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_211902,c_176164]) ).
tcf(c_211968,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_211901,c_176158]) ).
tcf(c_212015,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_211880,c_211871]) ).
tcf(c_212069,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_211886,c_211871]) ).
tcf(c_212077,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_211876,c_211871]) ).
tcf(c_212084,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_211873,c_211871]) ).
tcf(c_212091,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_211882,c_211871]) ).
tcf(c_212100,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_211881,c_211871]) ).
tcf(c_212109,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_211875,c_211871]) ).
tcf(c_212118,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_211874,c_211871]) ).
tcf(c_212451,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_180088,c_183]) ).
tcf(c_212452,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_180088,c_184]) ).
tcf(c_212453,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_180088,c_66]) ).
tcf(c_212454,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_212453,c_172792]) ).
tcf(c_212457,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_212452,c_172792]) ).
tcf(c_212466,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_180111,c_183]) ).
tcf(c_212467,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_180111,c_184]) ).
tcf(c_212468,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_180111,c_66]) ).
tcf(c_212469,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_212468,c_172791]) ).
tcf(c_212472,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_212467,c_172791]) ).
tcf(c_212490,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_210150,c_223]) ).
tcf(c_212491,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_210150,c_212]) ).
tcf(c_212492,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_210150,c_206]) ).
tcf(c_212521,plain,
( ( nil = sK59 )
| ~ ssList(nil)
| ( cons(sK57,sK59) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_172647,c_206800]) ).
tcf(c_212522,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_177081,c_206800]) ).
tcf(c_212523,plain,
( ( sK59 = sK60 )
| ~ ssList(sK60)
| ( cons(sK57,sK59) != cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_197678,c_206800]) ).
tcf(c_212525,plain,
( ( sK59 = sK56 )
| ~ ssList(sK56)
| ( cons(sK57,sK59) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_203810,c_206800]) ).
tcf(c_212526,plain,
( ( nil = sK59 )
| ( cons(sK57,sK59) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212521,c_141]) ).
tcf(c_212529,plain,
( ( sK59 = sK56 )
| ( cons(sK57,sK59) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212525,c_12924]) ).
tcf(c_212547,plain,
( ( cons(sK57,sK60) = iPr_def_10 )
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_201026,c_206804]) ).
tcf(c_212548,plain,
( ( cons(sK57,sK59) = iPr_def_10 )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_201027,c_206804]) ).
tcf(c_212549,plain,
( ( cons(sK57,sK56) = iPr_def_10 )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_201028,c_206804]) ).
tcf(c_212551,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_201765,c_206804]) ).
tcf(c_212552,plain,
( ( sK12(cons(sK57,sK59),sK59) = iPr_def_10 )
| ~ ssList(sK12(cons(sK57,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_207095,c_206804]) ).
tcf(c_212553,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_202963,c_206804]) ).
tcf(c_212554,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_202978,c_206804]) ).
tcf(c_212557,plain,
( ( cons(sK57,sK56) = iPr_def_10 )
| ( cons(sK57,app(sK56,sK59)) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212549,c_207378]) ).
tcf(c_212560,plain,
( ( cons(sK57,sK59) = iPr_def_10 )
| ( cons(sK57,app(sK59,sK59)) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212548,c_206768]) ).
tcf(c_212563,plain,
( ( cons(sK57,sK60) = iPr_def_10 )
| ( cons(sK57,app(sK60,sK59)) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212547,c_198667]) ).
tcf(c_212686,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_207243,c_173]) ).
tcf(c_212687,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_207243,c_174]) ).
tcf(c_212688,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_207243,c_63]) ).
tcf(c_212690,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_212688,c_206768]) ).
tcf(c_212693,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_212687,c_206768]) ).
tcf(c_212703,plain,
( ( nil = sK56 )
| ~ ssList(nil)
| ( cons(sK57,sK56) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_172647,c_207410]) ).
tcf(c_212704,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_177081,c_207410]) ).
tcf(c_212705,plain,
( ( sK60 = sK56 )
| ~ ssList(sK60)
| ( cons(sK57,sK60) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_197678,c_207410]) ).
tcf(c_212706,plain,
( ( sK59 = sK56 )
| ~ ssList(sK59)
| ( cons(sK57,sK59) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_201043,c_207410]) ).
tcf(c_212708,plain,
( ( nil = sK56 )
| ( cons(sK57,sK56) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212703,c_141]) ).
tcf(c_212723,plain,
( ( cons(sK57,sK60) = iPr_def_10 )
| ~ ssList(cons(sK57,sK60))
| ( cons(sK57,app(sK60,sK56)) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_203790,c_207414]) ).
tcf(c_212724,plain,
( ( cons(sK57,sK59) = iPr_def_10 )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK56)) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_203791,c_207414]) ).
tcf(c_212725,plain,
( ( cons(sK57,sK56) = iPr_def_10 )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK56)) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_203792,c_207414]) ).
tcf(c_212727,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_204741,c_207414]) ).
tcf(c_212728,plain,
( ( sK12(cons(sK57,sK56),sK56) = iPr_def_10 )
| ~ ssList(sK12(cons(sK57,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_207727,c_207414]) ).
tcf(c_212729,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_205650,c_207414]) ).
tcf(c_212730,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_205663,c_207414]) ).
tcf(c_212733,plain,
( ( cons(sK57,sK56) = iPr_def_10 )
| ( cons(sK57,app(sK56,sK56)) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212725,c_207378]) ).
tcf(c_212736,plain,
( ( cons(sK57,sK59) = iPr_def_10 )
| ( cons(sK57,app(sK59,sK56)) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212724,c_206768]) ).
tcf(c_212739,plain,
( ( cons(sK57,sK60) = iPr_def_10 )
| ( cons(sK57,app(sK60,sK56)) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212723,c_198667]) ).
tcf(c_212783,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_208006,c_173]) ).
tcf(c_212784,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_208006,c_174]) ).
tcf(c_212785,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_208006,c_63]) ).
tcf(c_212787,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_212785,c_207378]) ).
tcf(c_212790,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_212784,c_207378]) ).
tcf(c_212802,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK60),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(superposition,[status(thm)],[c_172861,c_198707]) ).
tcf(c_212803,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK60,sK60)),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(superposition,[status(thm)],[c_197664,c_198707]) ).
tcf(c_212804,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK60,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(superposition,[status(thm)],[c_201026,c_198707]) ).
tcf(c_212805,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK60,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(superposition,[status(thm)],[c_203790,c_198707]) ).
tcf(c_212806,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_198707,c_70]) ).
tcf(c_212807,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_198707,c_190]) ).
tcf(c_212808,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_198707,c_191]) ).
tcf(c_212809,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK60),X0)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212802,c_141]) ).
tcf(c_212813,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK60,sK56)),X0)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212805,c_12924]) ).
tcf(c_212817,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK60,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212804,c_12926]) ).
tcf(c_212821,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK60,sK60)),X0)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212803,c_12927]) ).
tcf(c_212852,plain,
cons(sK50(iPr_def_11),sK49(iPr_def_11)) = iPr_def_11,
inference(global_subsumption_just,[status(thm)],[c_175644,c_19621,c_20882]) ).
tcf(c_212854,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_212852,c_130]) ).
tcf(c_212855,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_212852,c_122]) ).
tcf(c_212856,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_212852,c_114]) ).
tcf(c_212857,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_212852,c_130]) ).
tcf(c_212861,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_212852,c_54]) ).
tcf(c_212862,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_212852,c_122]) ).
tcf(c_212863,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_212852,c_114]) ).
tcf(c_212867,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_212852,c_137]) ).
tcf(c_212870,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_212852,c_178]) ).
tcf(c_212871,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_212852,c_179]) ).
tcf(c_212872,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_212852,c_189707]) ).
tcf(c_212873,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_212852,c_189571]) ).
tcf(c_212874,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_212852,c_189128]) ).
tcf(c_212875,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_212852,c_189123]) ).
tcf(c_212876,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_212852,c_188375]) ).
tcf(c_212877,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_212852,c_144]) ).
tcf(c_212878,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_212852,c_143]) ).
tcf(c_212879,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_212852,c_178]) ).
tcf(c_212880,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_212852,c_179]) ).
tcf(c_212881,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_212852,c_170]) ).
tcf(c_212882,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_212852,c_214]) ).
tcf(c_212883,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_212852,c_208]) ).
tcf(c_212884,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_212852,c_213]) ).
tcf(c_212885,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_212852,c_207]) ).
tcf(c_212887,plain,
( ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ( sK49(iPr_def_11) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_212852,c_142]) ).
tcf(c_212888,plain,
( memberP(iPr_def_11,sK50(iPr_def_11))
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_212852,c_168]) ).
tcf(c_212890,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_212852,c_177]) ).
tcf(c_212891,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_212852,c_169]) ).
tcf(c_212892,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_212852,c_177]) ).
tcf(c_212996,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_212861,c_212852]) ).
tcf(c_213050,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_212867,c_212852]) ).
tcf(c_213058,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_212857,c_212852]) ).
tcf(c_213065,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_212854,c_212852]) ).
tcf(c_213072,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_212863,c_212852]) ).
tcf(c_213081,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_212862,c_212852]) ).
tcf(c_213090,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_212856,c_212852]) ).
tcf(c_213099,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_212855,c_212852]) ).
tcf(c_213209,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_181020,c_183]) ).
tcf(c_213210,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_181020,c_184]) ).
tcf(c_213211,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_181020,c_66]) ).
tcf(c_213212,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_213211,c_172129]) ).
tcf(c_213215,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_213210,c_172129]) ).
tcf(c_213224,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_181043,c_183]) ).
tcf(c_213225,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_181043,c_184]) ).
tcf(c_213226,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_181043,c_66]) ).
tcf(c_213227,plain,
( rearsegP(iPr_def_12,sK11(iPr_def_10,nil))
| ~ ssList(sK11(iPr_def_10,nil)) ),
inference(superposition,[status(thm)],[c_181043,c_178574]) ).
tcf(c_213228,plain,
( rearsegP(iPr_def_11,sK11(iPr_def_10,nil))
| ~ ssList(sK11(iPr_def_10,nil)) ),
inference(superposition,[status(thm)],[c_181043,c_178578]) ).
tcf(c_213233,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_213226,c_172620]) ).
tcf(c_213236,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_213225,c_172620]) ).
tcf(c_213245,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_182050,c_183]) ).
tcf(c_213246,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_182050,c_184]) ).
tcf(c_213247,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_182050,c_66]) ).
tcf(c_213248,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_213247,c_172129]) ).
tcf(c_213251,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_213246,c_172129]) ).
tcf(c_213322,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_182074,c_183]) ).
tcf(c_213323,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_182074,c_184]) ).
tcf(c_213324,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_182074,c_66]) ).
tcf(c_213325,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_213324,c_172792]) ).
tcf(c_213328,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_213323,c_172792]) ).
tcf(c_213335,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_206839,c_223]) ).
tcf(c_213336,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_206839,c_212]) ).
tcf(c_213337,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_206839,c_206]) ).
tcf(c_213350,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_213335,c_206835]) ).
tcf(c_213360,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_206840,c_223]) ).
tcf(c_213361,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_206840,c_212]) ).
tcf(c_213362,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_206840,c_206]) ).
tcf(c_213375,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_213360,c_206837]) ).
tcf(c_213398,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_206861,c_223]) ).
tcf(c_213399,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_206861,c_212]) ).
tcf(c_213400,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_206861,c_206]) ).
tcf(c_213413,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_213398,c_206860]) ).
tcf(c_213427,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_212813,c_70]) ).
tcf(c_213428,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_212813,c_190]) ).
tcf(c_213429,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_212813,c_191]) ).
tcf(c_213430,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_213428,c_204510]) ).
tcf(c_213436,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_213429,c_204510]) ).
tcf(c_213441,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_213427,c_204510]) ).
tcf(c_213469,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_212817,c_70]) ).
tcf(c_213470,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_212817,c_190]) ).
tcf(c_213471,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_212817,c_191]) ).
tcf(c_213472,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_213470,c_201374]) ).
tcf(c_213478,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_213471,c_201374]) ).
tcf(c_213483,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_213469,c_201374]) ).
tcf(c_213493,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_212821,c_70]) ).
tcf(c_213494,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_212821,c_190]) ).
tcf(c_213495,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_212821,c_191]) ).
tcf(c_213496,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_213494,c_198025]) ).
tcf(c_213502,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_213495,c_198025]) ).
tcf(c_213507,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_213493,c_198025]) ).
tcf(c_213517,plain,
( segmentP(cons(sK57,sK60),sK60)
| ~ ssList(nil)
| ~ ssList(app(cons(sK57,sK60),nil)) ),
inference(superposition,[status(thm)],[c_172861,c_198713]) ).
tcf(c_213518,plain,
( segmentP(cons(sK57,app(sK60,sK60)),sK60)
| ~ ssList(sK60)
| ~ ssList(app(cons(sK57,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_197664,c_198713]) ).
tcf(c_213519,plain,
( segmentP(cons(sK57,app(sK60,sK59)),sK60)
| ~ ssList(sK59)
| ~ ssList(app(cons(sK57,sK60),sK59)) ),
inference(superposition,[status(thm)],[c_201026,c_198713]) ).
tcf(c_213520,plain,
( segmentP(cons(sK57,app(sK60,sK56)),sK60)
| ~ ssList(sK56)
| ~ ssList(app(cons(sK57,sK60),sK56)) ),
inference(superposition,[status(thm)],[c_203790,c_198713]) ).
tcf(c_213521,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_198713,c_70]) ).
tcf(c_213522,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_198713,c_190]) ).
tcf(c_213523,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_198713,c_191]) ).
tcf(c_213524,plain,
( segmentP(cons(sK57,sK60),sK60)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK60)) ),
inference(light_normalisation,[status(thm)],[c_213517,c_172861]) ).
tcf(c_213525,plain,
segmentP(cons(sK57,sK60),sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_213524,c_141,c_198667]) ).
tcf(c_213526,plain,
( segmentP(cons(sK57,app(sK60,sK56)),sK60)
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK60,sK56))) ),
inference(light_normalisation,[status(thm)],[c_213520,c_203790]) ).
tcf(c_213527,plain,
segmentP(cons(sK57,app(sK60,sK56)),sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_213526,c_12924,c_204510]) ).
tcf(c_213528,plain,
( segmentP(cons(sK57,app(sK60,sK59)),sK60)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK60,sK59))) ),
inference(light_normalisation,[status(thm)],[c_213519,c_201026]) ).
tcf(c_213529,plain,
segmentP(cons(sK57,app(sK60,sK59)),sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_213528,c_12926,c_201374]) ).
tcf(c_213530,plain,
( segmentP(cons(sK57,app(sK60,sK60)),sK60)
| ~ ssList(sK60)
| ~ ssList(cons(sK57,app(sK60,sK60))) ),
inference(light_normalisation,[status(thm)],[c_213518,c_197664]) ).
tcf(c_213531,plain,
segmentP(cons(sK57,app(sK60,sK60)),sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_213530,c_12927,c_198025]) ).
tcf(c_213532,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_213522,c_12927]) ).
tcf(c_213538,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_213523,c_12927]) ).
tcf(c_213543,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_213521,c_12927]) ).
tcf(c_213565,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_213527,c_70]) ).
tcf(c_213566,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_213527,c_190]) ).
tcf(c_213567,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_213527,c_191]) ).
tcf(c_213569,plain,
( ( cons(sK57,app(sK60,sK56)) = sK60 )
| ~ segmentP(sK60,cons(sK57,app(sK60,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213567,c_12927,c_204510]) ).
tcf(c_213572,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_213565,c_12927,c_204510]) ).
tcf(c_213573,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_213529,c_70]) ).
tcf(c_213574,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_213529,c_190]) ).
tcf(c_213575,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_213529,c_191]) ).
tcf(c_213577,plain,
( ( cons(sK57,app(sK60,sK59)) = sK60 )
| ~ segmentP(sK60,cons(sK57,app(sK60,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213575,c_12927,c_201374]) ).
tcf(c_213580,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_213573,c_12927,c_201374]) ).
tcf(c_213581,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_213531,c_70]) ).
tcf(c_213582,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_213531,c_190]) ).
tcf(c_213583,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_213531,c_191]) ).
tcf(c_213585,plain,
( ( cons(sK57,app(sK60,sK60)) = sK60 )
| ~ segmentP(sK60,cons(sK57,app(sK60,sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213583,c_12927,c_198025]) ).
tcf(c_213588,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_213581,c_12927,c_198025]) ).
tcf(c_213593,plain,
cons(sK50(iPr_def_12),sK49(iPr_def_12)) = iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_175645,c_19622,c_20881]) ).
tcf(c_213595,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_213593,c_130]) ).
tcf(c_213596,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_213593,c_122]) ).
tcf(c_213597,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_213593,c_114]) ).
tcf(c_213598,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_213593,c_130]) ).
tcf(c_213602,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_213593,c_54]) ).
tcf(c_213603,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_213593,c_122]) ).
tcf(c_213604,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_213593,c_114]) ).
tcf(c_213608,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_213593,c_137]) ).
tcf(c_213611,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_213593,c_178]) ).
tcf(c_213612,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_213593,c_179]) ).
tcf(c_213613,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_213593,c_189707]) ).
tcf(c_213614,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_213593,c_189571]) ).
tcf(c_213615,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_213593,c_189128]) ).
tcf(c_213616,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_213593,c_189123]) ).
tcf(c_213617,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_213593,c_188375]) ).
tcf(c_213618,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_213593,c_144]) ).
tcf(c_213619,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_213593,c_143]) ).
tcf(c_213620,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_213593,c_178]) ).
tcf(c_213621,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_213593,c_179]) ).
tcf(c_213622,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_213593,c_170]) ).
tcf(c_213623,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_213593,c_214]) ).
tcf(c_213624,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_213593,c_208]) ).
tcf(c_213625,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_213593,c_213]) ).
tcf(c_213626,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_213593,c_207]) ).
tcf(c_213628,plain,
( ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ( sK49(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_213593,c_142]) ).
tcf(c_213629,plain,
( memberP(iPr_def_12,sK50(iPr_def_12))
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_213593,c_168]) ).
tcf(c_213631,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_213593,c_177]) ).
tcf(c_213632,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_213593,c_169]) ).
tcf(c_213633,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_213593,c_177]) ).
tcf(c_213737,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_213602,c_213593]) ).
tcf(c_213791,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_213608,c_213593]) ).
tcf(c_213799,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_213598,c_213593]) ).
tcf(c_213806,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_213595,c_213593]) ).
tcf(c_213813,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_213604,c_213593]) ).
tcf(c_213822,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_213603,c_213593]) ).
tcf(c_213831,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_213597,c_213593]) ).
tcf(c_213840,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_213596,c_213593]) ).
tcf(c_214018,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_182098,c_174]) ).
tcf(c_214019,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_182098,c_63]) ).
tcf(c_214020,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_182098,c_178128]) ).
tcf(c_214023,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_214019,c_172792]) ).
tcf(c_214026,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_214018,c_172792]) ).
tcf(c_214062,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_183377,c_174]) ).
tcf(c_214063,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_183377,c_63]) ).
tcf(c_214064,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_183377,c_180964]) ).
tcf(c_214065,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_183377,c_178132]) ).
tcf(c_214070,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_214063,c_172791]) ).
tcf(c_214073,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_214062,c_172791]) ).
tcf(c_214082,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_183400,c_174]) ).
tcf(c_214083,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_183400,c_63]) ).
tcf(c_214084,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_214083,c_172129]) ).
tcf(c_214087,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_214082,c_172129]) ).
tcf(c_214109,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_183424,c_174]) ).
tcf(c_214110,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_183424,c_63]) ).
tcf(c_214111,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_214110,c_172620]) ).
tcf(c_214114,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_214109,c_172620]) ).
tcf(c_214118,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_213525,c_70]) ).
tcf(c_214119,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK60),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_213525,c_190]) ).
tcf(c_214120,plain,
( ( cons(sK57,sK60) = sK60 )
| ~ ssList(sK60)
| ~ ssList(cons(sK57,sK60))
| ~ segmentP(sK60,cons(sK57,sK60)) ),
inference(superposition,[status(thm)],[c_213525,c_191]) ).
tcf(c_214121,plain,
~ segmentP(sK60,cons(sK57,sK60)),
inference(forward_subsumption_resolution,[status(thm)],[c_214120,c_198670,c_12927,c_198667]) ).
tcf(c_214123,plain,
app(app(sK13(cons(sK57,sK60),sK60),sK60),sK14(cons(sK57,sK60),sK60)) = cons(sK57,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_214118,c_12927,c_198667]) ).
tcf(c_214157,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_207487,c_223]) ).
tcf(c_214158,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_207487,c_212]) ).
tcf(c_214159,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_207487,c_206]) ).
tcf(c_214172,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_214157,c_207483]) ).
tcf(c_214182,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_207488,c_223]) ).
tcf(c_214183,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_207488,c_212]) ).
tcf(c_214184,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_207488,c_206]) ).
tcf(c_214197,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_214182,c_207485]) ).
tcf(c_214209,plain,
~ segmentP(sK60,cons(sK57,app(sK60,sK60))),
inference(global_subsumption_just,[status(thm)],[c_213585,c_43186,c_44373,c_44383,c_57360]) ).
tcf(c_214211,plain,
app(sK60,sK11(app(sK60,sK60),sK60)) = app(sK60,sK60),
inference(global_subsumption_just,[status(thm)],[c_200097,c_57401]) ).
tcf(c_214213,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_214211,c_67]) ).
tcf(c_214216,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_214211,c_167]) ).
tcf(c_214217,plain,
( ( nil = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK60),sK60))
| ( app(sK60,sK60) != nil ) ),
inference(superposition,[status(thm)],[c_214211,c_231]) ).
tcf(c_214218,plain,
( ( sK11(app(sK60,sK60),sK60) = nil )
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK60),sK60))
| ( app(sK60,sK60) != nil ) ),
inference(superposition,[status(thm)],[c_214211,c_230]) ).
tcf(c_214219,plain,
( frontsegP(app(sK60,sK60),sK60)
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_214211,c_378]) ).
tcf(c_214220,plain,
( rearsegP(app(sK60,sK60),sK11(app(sK60,sK60),sK60))
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_214211,c_375]) ).
tcf(c_214221,plain,
( ssList(app(sK60,sK60))
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_214211,c_153]) ).
tcf(c_214222,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_214211,c_225]) ).
tcf(c_214223,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_214211,c_226]) ).
tcf(c_214224,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_214211,c_176]) ).
tcf(c_214225,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_214211,c_165]) ).
tcf(c_214226,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_214211,c_193]) ).
tcf(c_214227,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_214211,c_186]) ).
tcf(c_214228,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_214211,c_166]) ).
tcf(c_214229,plain,
( ( sK11(app(sK60,sK60),sK60) = nil )
| ~ ssList(sK11(app(sK60,sK60),sK60))
| ( app(sK60,sK60) != sK60 ) ),
inference(superposition,[status(thm)],[c_214211,c_186540]) ).
tcf(c_214230,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_214211,c_187720]) ).
tcf(c_214231,plain,
! [X0: $i] :
( segmentP(app(sK60,sK60),X0)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(sK11(app(sK60,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_214211,c_188671]) ).
tcf(c_214232,plain,
! [X0: $i] :
( segmentP(app(sK60,sK60),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK60,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_214211,c_188651]) ).
tcf(c_214233,plain,
( ssList(app(sK60,sK60))
| ~ ssList(sK11(app(sK60,sK60),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214221,c_12927]) ).
tcf(c_214236,plain,
( frontsegP(app(sK60,sK60),sK60)
| ~ ssList(sK11(app(sK60,sK60),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214219,c_12927]) ).
tcf(c_214247,plain,
( rearsegP(app(sK60,sK60),sK11(app(sK60,sK60),sK60))
| ~ ssList(sK11(app(sK60,sK60),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214220,c_12927]) ).
tcf(c_214250,plain,
( segmentP(app(sK60,sK60),sK60)
| ~ ssList(app(sK60,sK60))
| ~ ssList(sK11(app(sK60,sK60),sK60)) ),
inference(light_normalisation,[status(thm)],[c_214230,c_214211]) ).
tcf(c_214254,plain,
( ( nil = sK60 )
| ~ ssList(sK11(app(sK60,sK60),sK60))
| ( app(sK60,sK60) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214217,c_12927]) ).
tcf(c_214261,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_214225,c_12927]) ).
tcf(c_214266,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_214224,c_12927]) ).
tcf(c_214271,plain,
( ( sK11(app(sK60,sK60),sK60) = nil )
| ~ ssList(sK11(app(sK60,sK60),sK60))
| ( app(sK60,sK60) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214218,c_12927]) ).
tcf(c_214275,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_214228,c_12927]) ).
tcf(c_214280,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_214227,c_12927]) ).
tcf(c_214285,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_214216,c_12927]) ).
tcf(c_214291,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_214223,c_12927]) ).
tcf(c_214296,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_214222,c_12927]) ).
tcf(c_214301,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_214226,c_12927]) ).
tcf(c_214307,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_214213,c_214211]) ).
tcf(c_214308,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_214307,c_12927]) ).
tcf(c_214567,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_214247,c_183]) ).
tcf(c_214568,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_214247,c_184]) ).
tcf(c_214569,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_214247,c_66]) ).
tcf(c_214596,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_200104,c_173]) ).
tcf(c_214597,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_200104,c_174]) ).
tcf(c_214598,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_200104,c_63]) ).
tcf(c_214620,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_175647,c_130]) ).
tcf(c_214621,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_175647,c_122]) ).
tcf(c_214622,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_175647,c_114]) ).
tcf(c_214623,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_175647,c_130]) ).
tcf(c_214627,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_175647,c_54]) ).
tcf(c_214628,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_175647,c_122]) ).
tcf(c_214629,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_175647,c_114]) ).
tcf(c_214633,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_175647,c_137]) ).
tcf(c_214636,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_175647,c_178]) ).
tcf(c_214637,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_175647,c_179]) ).
tcf(c_214638,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_175647,c_189707]) ).
tcf(c_214639,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_175647,c_189571]) ).
tcf(c_214640,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_175647,c_189128]) ).
tcf(c_214641,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_175647,c_189123]) ).
tcf(c_214642,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_175647,c_188375]) ).
tcf(c_214643,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_175647,c_144]) ).
tcf(c_214644,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_175647,c_143]) ).
tcf(c_214645,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_175647,c_178]) ).
tcf(c_214646,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_175647,c_179]) ).
tcf(c_214647,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_175647,c_170]) ).
tcf(c_214648,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_175647,c_214]) ).
tcf(c_214649,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_175647,c_208]) ).
tcf(c_214650,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_175647,c_213]) ).
tcf(c_214651,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_175647,c_207]) ).
tcf(c_214653,plain,
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(sK49(tl(sK60)))
| ~ ssItem(sK50(tl(sK60)))
| ( sK49(tl(sK60)) != tl(sK60) ) ),
inference(superposition,[status(thm)],[c_175647,c_142]) ).
tcf(c_214654,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_175647,c_168]) ).
tcf(c_214656,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_175647,c_177]) ).
tcf(c_214657,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_175647,c_169]) ).
tcf(c_214658,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_175647,c_177]) ).
tcf(c_215008,plain,
frontsegP(nil,sK12(nil,nil)),
inference(global_subsumption_just,[status(thm)],[c_185159,c_141,c_188,c_323,c_31072]) ).
tcf(c_215011,plain,
( ( sK12(nil,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK12(nil,nil))
| ~ frontsegP(sK12(nil,nil),nil) ),
inference(superposition,[status(thm)],[c_215008,c_174]) ).
tcf(c_215012,plain,
( ( app(sK12(nil,nil),sK11(nil,sK12(nil,nil))) = nil )
| ~ ssList(nil)
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_215008,c_63]) ).
tcf(c_215013,plain,
( frontsegP(iPr_def_10,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_215008,c_178124]) ).
tcf(c_215014,plain,
( frontsegP(iPr_def_13,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_215008,c_178108]) ).
tcf(c_215015,plain,
( frontsegP(iPr_def_11,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_215008,c_178104]) ).
tcf(c_215016,plain,
( frontsegP(iPr_def_12,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_215008,c_178100]) ).
tcf(c_215017,plain,
( frontsegP(sK60,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_215008,c_178120]) ).
tcf(c_215018,plain,
( frontsegP(sK59,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_215008,c_178116]) ).
tcf(c_215019,plain,
( frontsegP(sK56,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_215008,c_178112]) ).
tcf(c_215035,plain,
( ( app(sK12(nil,nil),sK11(nil,sK12(nil,nil))) = nil )
| ~ ssList(sK12(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215012,c_141]) ).
tcf(c_215043,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_185185,c_173]) ).
tcf(c_215044,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_185185,c_174]) ).
tcf(c_215045,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_185185,c_63]) ).
tcf(c_215046,plain,
( frontsegP(iPr_def_13,sK12(iPr_def_12,nil))
| ~ ssList(sK12(iPr_def_12,nil)) ),
inference(superposition,[status(thm)],[c_185185,c_178128]) ).
tcf(c_215049,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_215045,c_172792]) ).
tcf(c_215052,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_215044,c_172792]) ).
tcf(c_215140,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_185215,c_173]) ).
tcf(c_215141,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_185215,c_174]) ).
tcf(c_215142,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_185215,c_63]) ).
tcf(c_215143,plain,
( frontsegP(iPr_def_13,sK12(iPr_def_11,nil))
| ~ ssList(sK12(iPr_def_11,nil)) ),
inference(superposition,[status(thm)],[c_185215,c_180964]) ).
tcf(c_215144,plain,
( frontsegP(iPr_def_12,sK12(iPr_def_11,nil))
| ~ ssList(sK12(iPr_def_11,nil)) ),
inference(superposition,[status(thm)],[c_185215,c_178132]) ).
tcf(c_215149,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_215142,c_172791]) ).
tcf(c_215152,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_215141,c_172791]) ).
tcf(c_215206,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_186959,c_173]) ).
tcf(c_215207,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_186959,c_174]) ).
tcf(c_215208,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_186959,c_63]) ).
tcf(c_215209,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_215208,c_172620]) ).
tcf(c_215212,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_215207,c_172620]) ).
tcf(c_215280,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_207509,c_223]) ).
tcf(c_215281,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_207509,c_212]) ).
tcf(c_215282,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_207509,c_206]) ).
tcf(c_215295,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_215280,c_207508]) ).
tcf(c_215305,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_210142,c_223]) ).
tcf(c_215306,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_210142,c_212]) ).
tcf(c_215307,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_210142,c_206]) ).
tcf(c_215329,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_210143,c_223]) ).
tcf(c_215330,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_210143,c_212]) ).
tcf(c_215331,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_210143,c_206]) ).
tcf(c_215353,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_210144,c_223]) ).
tcf(c_215354,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_210144,c_212]) ).
tcf(c_215355,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_210144,c_206]) ).
tcf(c_215375,plain,
app(sK59,sK11(app(sK59,sK60),sK59)) = app(sK59,sK60),
inference(global_subsumption_just,[status(thm)],[c_200133,c_63272]) ).
tcf(c_215377,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_215375,c_67]) ).
tcf(c_215380,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_215375,c_167]) ).
tcf(c_215381,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK60),sK59))
| ( app(sK59,sK60) != nil ) ),
inference(superposition,[status(thm)],[c_215375,c_231]) ).
tcf(c_215382,plain,
( ( sK11(app(sK59,sK60),sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK60),sK59))
| ( app(sK59,sK60) != nil ) ),
inference(superposition,[status(thm)],[c_215375,c_230]) ).
tcf(c_215383,plain,
( frontsegP(app(sK59,sK60),sK59)
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK60),sK59)) ),
inference(superposition,[status(thm)],[c_215375,c_378]) ).
tcf(c_215384,plain,
( rearsegP(app(sK59,sK60),sK11(app(sK59,sK60),sK59))
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK60),sK59)) ),
inference(superposition,[status(thm)],[c_215375,c_375]) ).
tcf(c_215385,plain,
( ssList(app(sK59,sK60))
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK60),sK59)) ),
inference(superposition,[status(thm)],[c_215375,c_153]) ).
tcf(c_215386,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_215375,c_225]) ).
tcf(c_215387,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_215375,c_226]) ).
tcf(c_215388,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_215375,c_176]) ).
tcf(c_215389,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_215375,c_165]) ).
tcf(c_215390,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_215375,c_193]) ).
tcf(c_215391,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_215375,c_186]) ).
tcf(c_215392,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_215375,c_166]) ).
tcf(c_215393,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_215375,c_186572]) ).
tcf(c_215394,plain,
( ( sK11(app(sK59,sK60),sK59) = nil )
| ~ ssList(sK11(app(sK59,sK60),sK59))
| ( app(sK59,sK60) != sK59 ) ),
inference(superposition,[status(thm)],[c_215375,c_186536]) ).
tcf(c_215395,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_215375,c_187715]) ).
tcf(c_215396,plain,
! [X0: $i] :
( segmentP(app(sK59,sK60),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK11(app(sK59,sK60),sK59)) ),
inference(superposition,[status(thm)],[c_215375,c_188666]) ).
tcf(c_215397,plain,
! [X0: $i] :
( segmentP(app(sK59,sK60),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK59,sK60),sK59)) ),
inference(superposition,[status(thm)],[c_215375,c_188646]) ).
tcf(c_215398,plain,
( ssList(app(sK59,sK60))
| ~ ssList(sK11(app(sK59,sK60),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215385,c_12926]) ).
tcf(c_215401,plain,
( frontsegP(app(sK59,sK60),sK59)
| ~ ssList(sK11(app(sK59,sK60),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215383,c_12926]) ).
tcf(c_215412,plain,
( rearsegP(app(sK59,sK60),sK11(app(sK59,sK60),sK59))
| ~ ssList(sK11(app(sK59,sK60),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215384,c_12926]) ).
tcf(c_215415,plain,
( segmentP(app(sK59,sK60),sK59)
| ~ ssList(app(sK59,sK60))
| ~ ssList(sK11(app(sK59,sK60),sK59)) ),
inference(light_normalisation,[status(thm)],[c_215395,c_215375]) ).
tcf(c_215419,plain,
( ( nil = sK59 )
| ~ ssList(sK11(app(sK59,sK60),sK59))
| ( app(sK59,sK60) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215381,c_12926]) ).
tcf(c_215429,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_215389,c_12926]) ).
tcf(c_215434,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_215388,c_12926]) ).
tcf(c_215439,plain,
( ( sK11(app(sK59,sK60),sK59) = nil )
| ~ ssList(sK11(app(sK59,sK60),sK59))
| ( app(sK59,sK60) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215382,c_12926]) ).
tcf(c_215443,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_215392,c_12926]) ).
tcf(c_215448,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_215391,c_12926]) ).
tcf(c_215453,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_215380,c_12926]) ).
tcf(c_215459,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_215387,c_12926]) ).
tcf(c_215464,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_215386,c_12926]) ).
tcf(c_215469,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_215390,c_12926]) ).
tcf(c_215475,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_215377,c_215375]) ).
tcf(c_215476,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_215475,c_12926]) ).
tcf(c_215512,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_215412,c_183]) ).
tcf(c_215513,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_215412,c_184]) ).
tcf(c_215514,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_215412,c_66]) ).
tcf(c_215541,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_200140,c_173]) ).
tcf(c_215542,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_200140,c_174]) ).
tcf(c_215543,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_200140,c_63]) ).
tcf(c_215654,plain,
app(sK56,sK11(app(sK56,sK60),sK56)) = app(sK56,sK60),
inference(global_subsumption_just,[status(thm)],[c_200881,c_68899]) ).
tcf(c_215656,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_215654,c_67]) ).
tcf(c_215659,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_215654,c_167]) ).
tcf(c_215660,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK60),sK56))
| ( app(sK56,sK60) != nil ) ),
inference(superposition,[status(thm)],[c_215654,c_231]) ).
tcf(c_215661,plain,
( ( sK11(app(sK56,sK60),sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK60),sK56))
| ( app(sK56,sK60) != nil ) ),
inference(superposition,[status(thm)],[c_215654,c_230]) ).
tcf(c_215662,plain,
( frontsegP(app(sK56,sK60),sK56)
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK60),sK56)) ),
inference(superposition,[status(thm)],[c_215654,c_378]) ).
tcf(c_215663,plain,
( rearsegP(app(sK56,sK60),sK11(app(sK56,sK60),sK56))
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK60),sK56)) ),
inference(superposition,[status(thm)],[c_215654,c_375]) ).
tcf(c_215664,plain,
( ssList(app(sK56,sK60))
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK60),sK56)) ),
inference(superposition,[status(thm)],[c_215654,c_153]) ).
tcf(c_215665,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_215654,c_225]) ).
tcf(c_215666,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_215654,c_226]) ).
tcf(c_215667,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_215654,c_176]) ).
tcf(c_215668,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_215654,c_165]) ).
tcf(c_215669,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_215654,c_193]) ).
tcf(c_215670,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_215654,c_186]) ).
tcf(c_215671,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_215654,c_166]) ).
tcf(c_215672,plain,
( ( sK11(app(sK56,sK60),sK56) = nil )
| ~ ssList(sK11(app(sK56,sK60),sK56))
| ( app(sK56,sK60) != sK56 ) ),
inference(superposition,[status(thm)],[c_215654,c_186532]) ).
tcf(c_215673,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_215654,c_187710]) ).
tcf(c_215674,plain,
! [X0: $i] :
( segmentP(app(sK56,sK60),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(sK11(app(sK56,sK60),sK56)) ),
inference(superposition,[status(thm)],[c_215654,c_188661]) ).
tcf(c_215675,plain,
! [X0: $i] :
( segmentP(app(sK56,sK60),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK56,sK60),sK56)) ),
inference(superposition,[status(thm)],[c_215654,c_188641]) ).
tcf(c_215676,plain,
( ssList(app(sK56,sK60))
| ~ ssList(sK11(app(sK56,sK60),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215664,c_12924]) ).
tcf(c_215679,plain,
( frontsegP(app(sK56,sK60),sK56)
| ~ ssList(sK11(app(sK56,sK60),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215662,c_12924]) ).
tcf(c_215690,plain,
( rearsegP(app(sK56,sK60),sK11(app(sK56,sK60),sK56))
| ~ ssList(sK11(app(sK56,sK60),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215663,c_12924]) ).
tcf(c_215693,plain,
( segmentP(app(sK56,sK60),sK56)
| ~ ssList(app(sK56,sK60))
| ~ ssList(sK11(app(sK56,sK60),sK56)) ),
inference(light_normalisation,[status(thm)],[c_215673,c_215654]) ).
tcf(c_215697,plain,
( ( nil = sK56 )
| ~ ssList(sK11(app(sK56,sK60),sK56))
| ( app(sK56,sK60) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215660,c_12924]) ).
tcf(c_215704,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_215668,c_12924]) ).
tcf(c_215709,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_215667,c_12924]) ).
tcf(c_215714,plain,
( ( sK11(app(sK56,sK60),sK56) = nil )
| ~ ssList(sK11(app(sK56,sK60),sK56))
| ( app(sK56,sK60) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215661,c_12924]) ).
tcf(c_215718,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_215671,c_12924]) ).
tcf(c_215723,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_215670,c_12924]) ).
tcf(c_215728,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_215659,c_12924]) ).
tcf(c_215734,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_215666,c_12924]) ).
tcf(c_215739,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_215665,c_12924]) ).
tcf(c_215744,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_215669,c_12924]) ).
tcf(c_215750,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_215656,c_215654]) ).
tcf(c_215751,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_215750,c_12924]) ).
tcf(c_215799,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_175648,c_130]) ).
tcf(c_215800,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_175648,c_122]) ).
tcf(c_215801,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_175648,c_114]) ).
tcf(c_215802,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_175648,c_130]) ).
tcf(c_215806,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_175648,c_54]) ).
tcf(c_215807,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_175648,c_122]) ).
tcf(c_215808,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_175648,c_114]) ).
tcf(c_215812,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_175648,c_137]) ).
tcf(c_215815,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_175648,c_178]) ).
tcf(c_215816,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_175648,c_179]) ).
tcf(c_215817,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_175648,c_189707]) ).
tcf(c_215818,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_175648,c_189571]) ).
tcf(c_215819,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_175648,c_189128]) ).
tcf(c_215820,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_175648,c_189123]) ).
tcf(c_215821,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_175648,c_188375]) ).
tcf(c_215822,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_175648,c_144]) ).
tcf(c_215823,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_175648,c_143]) ).
tcf(c_215824,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_175648,c_178]) ).
tcf(c_215825,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_175648,c_179]) ).
tcf(c_215826,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_175648,c_170]) ).
tcf(c_215827,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_175648,c_214]) ).
tcf(c_215828,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_175648,c_208]) ).
tcf(c_215829,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_175648,c_213]) ).
tcf(c_215830,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_175648,c_207]) ).
tcf(c_215832,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ( sK49(tl(sK59)) != tl(sK59) ) ),
inference(superposition,[status(thm)],[c_175648,c_142]) ).
tcf(c_215833,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_175648,c_168]) ).
tcf(c_215835,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_175648,c_177]) ).
tcf(c_215836,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_175648,c_169]) ).
tcf(c_215837,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_175648,c_177]) ).
tcf(c_216357,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_187112,c_173]) ).
tcf(c_216358,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_187112,c_174]) ).
tcf(c_216359,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_187112,c_63]) ).
tcf(c_216360,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_216359,c_172129]) ).
tcf(c_216363,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_216358,c_172129]) ).
tcf(c_216372,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_187157,c_173]) ).
tcf(c_216373,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_187157,c_174]) ).
tcf(c_216374,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_187157,c_63]) ).
tcf(c_216375,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_187157,c_178128]) ).
tcf(c_216378,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_216374,c_172792]) ).
tcf(c_216381,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_216373,c_172792]) ).
tcf(c_216452,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_187203,c_173]) ).
tcf(c_216453,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_187203,c_174]) ).
tcf(c_216454,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_187203,c_63]) ).
tcf(c_216455,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_187203,c_180964]) ).
tcf(c_216456,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_187203,c_178132]) ).
tcf(c_216461,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_216454,c_172791]) ).
tcf(c_216464,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_216453,c_172791]) ).
tcf(c_216473,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_190805,c_183]) ).
tcf(c_216474,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_190805,c_184]) ).
tcf(c_216475,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_190805,c_66]) ).
tcf(c_216476,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_216475,c_172129]) ).
tcf(c_216479,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_216474,c_172129]) ).
tcf(c_216509,plain,
( frontsegP(iPr_def_11,nil)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_180156,c_185252]) ).
tcf(c_216510,plain,
( rearsegP(iPr_def_13,nil)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_180196,c_183716]) ).
tcf(c_216517,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_181402,c_223]) ).
tcf(c_216518,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_181402,c_212]) ).
tcf(c_216519,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_181402,c_206]) ).
tcf(c_216520,plain,
( ( nil = sK59 )
| ( cons(hd(iPr_def_11),tl(sK59)) = sK59 ) ),
inference(superposition,[status(thm)],[c_181402,c_175832]) ).
tcf(c_216524,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_216519,c_12926]) ).
tcf(c_216530,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_216518,c_12926]) ).
tcf(c_216536,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_216517,c_12926]) ).
tcf(c_216561,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_215690,c_183]) ).
tcf(c_216562,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_215690,c_184]) ).
tcf(c_216563,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_215690,c_66]) ).
tcf(c_216590,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_200888,c_173]) ).
tcf(c_216591,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_200888,c_174]) ).
tcf(c_216592,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_200888,c_63]) ).
tcf(c_216608,plain,
app(sK60,sK11(app(sK60,sK59),sK60)) = app(sK60,sK59),
inference(global_subsumption_just,[status(thm)],[c_201957,c_61417]) ).
tcf(c_216610,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_216608,c_67]) ).
tcf(c_216613,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_216608,c_167]) ).
tcf(c_216614,plain,
( ( nil = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK59),sK60))
| ( app(sK60,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_216608,c_231]) ).
tcf(c_216615,plain,
( ( sK11(app(sK60,sK59),sK60) = nil )
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK59),sK60))
| ( app(sK60,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_216608,c_230]) ).
tcf(c_216616,plain,
( frontsegP(app(sK60,sK59),sK60)
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK59),sK60)) ),
inference(superposition,[status(thm)],[c_216608,c_378]) ).
tcf(c_216617,plain,
( rearsegP(app(sK60,sK59),sK11(app(sK60,sK59),sK60))
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK59),sK60)) ),
inference(superposition,[status(thm)],[c_216608,c_375]) ).
tcf(c_216618,plain,
( ssList(app(sK60,sK59))
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK59),sK60)) ),
inference(superposition,[status(thm)],[c_216608,c_153]) ).
tcf(c_216619,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_216608,c_225]) ).
tcf(c_216620,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_216608,c_226]) ).
tcf(c_216621,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_216608,c_176]) ).
tcf(c_216622,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_216608,c_165]) ).
tcf(c_216623,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_216608,c_193]) ).
tcf(c_216624,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_216608,c_186]) ).
tcf(c_216625,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_216608,c_166]) ).
tcf(c_216626,plain,
( ( sK11(app(sK60,sK59),sK60) = nil )
| ~ ssList(sK11(app(sK60,sK59),sK60))
| ( app(sK60,sK59) != sK60 ) ),
inference(superposition,[status(thm)],[c_216608,c_186540]) ).
tcf(c_216627,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_216608,c_187720]) ).
tcf(c_216628,plain,
! [X0: $i] :
( segmentP(app(sK60,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(sK11(app(sK60,sK59),sK60)) ),
inference(superposition,[status(thm)],[c_216608,c_188671]) ).
tcf(c_216629,plain,
! [X0: $i] :
( segmentP(app(sK60,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK60,sK59),sK60)) ),
inference(superposition,[status(thm)],[c_216608,c_188651]) ).
tcf(c_216630,plain,
( ssList(app(sK60,sK59))
| ~ ssList(sK11(app(sK60,sK59),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216618,c_12927]) ).
tcf(c_216633,plain,
( frontsegP(app(sK60,sK59),sK60)
| ~ ssList(sK11(app(sK60,sK59),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216616,c_12927]) ).
tcf(c_216644,plain,
( rearsegP(app(sK60,sK59),sK11(app(sK60,sK59),sK60))
| ~ ssList(sK11(app(sK60,sK59),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216617,c_12927]) ).
tcf(c_216647,plain,
( segmentP(app(sK60,sK59),sK60)
| ~ ssList(app(sK60,sK59))
| ~ ssList(sK11(app(sK60,sK59),sK60)) ),
inference(light_normalisation,[status(thm)],[c_216627,c_216608]) ).
tcf(c_216651,plain,
( ( nil = sK60 )
| ~ ssList(sK11(app(sK60,sK59),sK60))
| ( app(sK60,sK59) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216614,c_12927]) ).
tcf(c_216658,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_216622,c_12927]) ).
tcf(c_216663,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_216621,c_12927]) ).
tcf(c_216668,plain,
( ( sK11(app(sK60,sK59),sK60) = nil )
| ~ ssList(sK11(app(sK60,sK59),sK60))
| ( app(sK60,sK59) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216615,c_12927]) ).
tcf(c_216672,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_216625,c_12927]) ).
tcf(c_216677,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_216624,c_12927]) ).
tcf(c_216682,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_216613,c_12927]) ).
tcf(c_216688,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_216620,c_12927]) ).
tcf(c_216693,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_216619,c_12927]) ).
tcf(c_216698,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_216623,c_12927]) ).
tcf(c_216704,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_216610,c_216608]) ).
tcf(c_216705,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_216704,c_12927]) ).
tcf(c_216763,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_216644,c_183]) ).
tcf(c_216764,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_216644,c_184]) ).
tcf(c_216765,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_216644,c_66]) ).
tcf(c_216784,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_175649,c_130]) ).
tcf(c_216785,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_175649,c_122]) ).
tcf(c_216786,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_175649,c_114]) ).
tcf(c_216787,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_175649,c_130]) ).
tcf(c_216791,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_175649,c_54]) ).
tcf(c_216792,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_175649,c_122]) ).
tcf(c_216793,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_175649,c_114]) ).
tcf(c_216797,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_175649,c_137]) ).
tcf(c_216800,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_175649,c_178]) ).
tcf(c_216801,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_175649,c_179]) ).
tcf(c_216802,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_175649,c_189707]) ).
tcf(c_216803,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_175649,c_189571]) ).
tcf(c_216804,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_175649,c_189128]) ).
tcf(c_216805,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_175649,c_189123]) ).
tcf(c_216806,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_175649,c_188375]) ).
tcf(c_216807,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_175649,c_144]) ).
tcf(c_216808,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_175649,c_143]) ).
tcf(c_216809,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_175649,c_178]) ).
tcf(c_216810,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_175649,c_179]) ).
tcf(c_216811,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_175649,c_170]) ).
tcf(c_216812,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_175649,c_214]) ).
tcf(c_216813,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_175649,c_208]) ).
tcf(c_216814,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_175649,c_213]) ).
tcf(c_216815,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_175649,c_207]) ).
tcf(c_216817,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ( sK49(tl(sK56)) != tl(sK56) ) ),
inference(superposition,[status(thm)],[c_175649,c_142]) ).
tcf(c_216818,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_175649,c_168]) ).
tcf(c_216820,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_175649,c_177]) ).
tcf(c_216821,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_175649,c_169]) ).
tcf(c_216822,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_175649,c_177]) ).
tcf(c_217247,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_193781,c_67]) ).
tcf(c_217250,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_193781,c_167]) ).
tcf(c_217251,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_193781,c_231]) ).
tcf(c_217253,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_193781,c_378]) ).
tcf(c_217256,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_193781,c_225]) ).
tcf(c_217257,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_193781,c_226]) ).
tcf(c_217258,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_193781,c_176]) ).
tcf(c_217259,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_193781,c_165]) ).
tcf(c_217260,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_193781,c_193]) ).
tcf(c_217261,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_193781,c_186]) ).
tcf(c_217263,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_193781,c_185883]) ).
tcf(c_217264,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_193781,c_185879]) ).
tcf(c_217265,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_193781,c_185875]) ).
tcf(c_217266,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_217253,c_141]) ).
tcf(c_217279,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_217251,c_141]) ).
tcf(c_217283,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_217259,c_141]) ).
tcf(c_217288,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_217258,c_141]) ).
tcf(c_217294,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_217250,c_141]) ).
tcf(c_217300,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_217257,c_141]) ).
tcf(c_217305,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_217256,c_141]) ).
tcf(c_217310,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_217247,c_193781]) ).
tcf(c_217311,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_217310,c_141]) ).
tcf(c_217380,plain,
( segmentP(sK56,nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_192,c_194075]) ).
tcf(c_217383,plain,
segmentP(sK56,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_217380,c_141]) ).
tcf(c_217384,plain,
( ( app(app(sK13(sK56,nil),nil),sK14(sK56,nil)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_217383,c_70]) ).
tcf(c_217385,plain,
! [X0: $i] :
( segmentP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_217383,c_190]) ).
tcf(c_217386,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ segmentP(nil,sK56) ),
inference(superposition,[status(thm)],[c_217383,c_191]) ).
tcf(c_217387,plain,
( ( nil = sK56 )
| ~ segmentP(nil,sK56) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217386,c_12924,c_141]) ).
tcf(c_217391,plain,
app(app(sK13(sK56,nil),nil),sK14(sK56,nil)) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_217384,c_12924,c_141]) ).
tcf(c_217396,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_217391,c_67]) ).
tcf(c_217399,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_217391,c_167]) ).
tcf(c_217400,plain,
( ( app(sK13(sK56,nil),nil) = nil )
| ~ ssList(sK14(sK56,nil))
| ~ ssList(app(sK13(sK56,nil),nil))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_217391,c_231]) ).
tcf(c_217401,plain,
( ( sK14(sK56,nil) = nil )
| ~ ssList(sK14(sK56,nil))
| ~ ssList(app(sK13(sK56,nil),nil))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_217391,c_230]) ).
tcf(c_217402,plain,
( frontsegP(sK56,app(sK13(sK56,nil),nil))
| ~ ssList(sK14(sK56,nil))
| ~ ssList(app(sK13(sK56,nil),nil)) ),
inference(superposition,[status(thm)],[c_217391,c_378]) ).
tcf(c_217403,plain,
( rearsegP(sK56,sK14(sK56,nil))
| ~ ssList(sK14(sK56,nil))
| ~ ssList(app(sK13(sK56,nil),nil)) ),
inference(superposition,[status(thm)],[c_217391,c_375]) ).
tcf(c_217405,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_217391,c_225]) ).
tcf(c_217407,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_217391,c_226]) ).
tcf(c_217408,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_217391,c_176]) ).
tcf(c_217409,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_217391,c_165]) ).
tcf(c_217410,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_217391,c_193]) ).
tcf(c_217411,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_217391,c_186]) ).
tcf(c_217412,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_217391,c_166]) ).
tcf(c_217413,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_217391,c_193]) ).
tcf(c_217471,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_217396,c_217391]) ).
tcf(c_217555,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_201964,c_173]) ).
tcf(c_217556,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_201964,c_174]) ).
tcf(c_217557,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_201964,c_63]) ).
tcf(c_217604,plain,
app(sK59,sK11(app(sK59,sK59),sK59)) = app(sK59,sK59),
inference(global_subsumption_just,[status(thm)],[c_203658,c_62372]) ).
tcf(c_217606,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_217604,c_67]) ).
tcf(c_217609,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_217604,c_167]) ).
tcf(c_217610,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ( app(sK59,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_217604,c_231]) ).
tcf(c_217611,plain,
( ( sK11(app(sK59,sK59),sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ( app(sK59,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_217604,c_230]) ).
tcf(c_217612,plain,
( frontsegP(app(sK59,sK59),sK59)
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_217604,c_378]) ).
tcf(c_217613,plain,
( rearsegP(app(sK59,sK59),sK11(app(sK59,sK59),sK59))
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_217604,c_375]) ).
tcf(c_217614,plain,
( ssList(app(sK59,sK59))
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_217604,c_153]) ).
tcf(c_217615,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_217604,c_225]) ).
tcf(c_217616,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_217604,c_226]) ).
tcf(c_217617,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_217604,c_176]) ).
tcf(c_217618,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_217604,c_165]) ).
tcf(c_217619,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_217604,c_193]) ).
tcf(c_217620,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_217604,c_186]) ).
tcf(c_217621,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_217604,c_166]) ).
tcf(c_217622,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_217604,c_186572]) ).
tcf(c_217623,plain,
( ( sK11(app(sK59,sK59),sK59) = nil )
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ( app(sK59,sK59) != sK59 ) ),
inference(superposition,[status(thm)],[c_217604,c_186536]) ).
tcf(c_217624,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_217604,c_187715]) ).
tcf(c_217625,plain,
! [X0: $i] :
( segmentP(app(sK59,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_217604,c_188666]) ).
tcf(c_217626,plain,
! [X0: $i] :
( segmentP(app(sK59,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_217604,c_188646]) ).
tcf(c_217627,plain,
( ssList(app(sK59,sK59))
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217614,c_12926]) ).
tcf(c_217630,plain,
( frontsegP(app(sK59,sK59),sK59)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217612,c_12926]) ).
tcf(c_217641,plain,
( rearsegP(app(sK59,sK59),sK11(app(sK59,sK59),sK59))
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217613,c_12926]) ).
tcf(c_217644,plain,
( segmentP(app(sK59,sK59),sK59)
| ~ ssList(app(sK59,sK59))
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(light_normalisation,[status(thm)],[c_217624,c_217604]) ).
tcf(c_217648,plain,
( ( nil = sK59 )
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ( app(sK59,sK59) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217610,c_12926]) ).
tcf(c_217658,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_217618,c_12926]) ).
tcf(c_217663,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_217617,c_12926]) ).
tcf(c_217668,plain,
( ( sK11(app(sK59,sK59),sK59) = nil )
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ( app(sK59,sK59) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217611,c_12926]) ).
tcf(c_217672,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_217621,c_12926]) ).
tcf(c_217677,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_217620,c_12926]) ).
tcf(c_217682,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_217609,c_12926]) ).
tcf(c_217688,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_217616,c_12926]) ).
tcf(c_217693,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_217615,c_12926]) ).
tcf(c_217698,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_217619,c_12926]) ).
tcf(c_217704,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_217606,c_217604]) ).
tcf(c_217705,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_217704,c_12926]) ).
tcf(c_217861,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_217641,c_183]) ).
tcf(c_217862,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_217641,c_184]) ).
tcf(c_217863,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_217641,c_66]) ).
tcf(c_217884,plain,
cons(hd(iPr_def_13),tl(iPr_def_13)) = iPr_def_13,
inference(global_subsumption_just,[status(thm)],[c_175834,c_20121,c_21048]) ).
tcf(c_217886,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_217884,c_130]) ).
tcf(c_217887,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_217884,c_122]) ).
tcf(c_217888,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_217884,c_114]) ).
tcf(c_217889,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_217884,c_130]) ).
tcf(c_217893,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_217884,c_54]) ).
tcf(c_217894,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_217884,c_122]) ).
tcf(c_217895,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_217884,c_114]) ).
tcf(c_217899,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_217884,c_137]) ).
tcf(c_217902,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_217884,c_178]) ).
tcf(c_217903,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_217884,c_179]) ).
tcf(c_217904,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_217884,c_189707]) ).
tcf(c_217905,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_217884,c_189571]) ).
tcf(c_217906,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_217884,c_189128]) ).
tcf(c_217907,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_217884,c_189123]) ).
tcf(c_217908,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_217884,c_188375]) ).
tcf(c_217909,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_217884,c_144]) ).
tcf(c_217910,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_217884,c_143]) ).
tcf(c_217911,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_217884,c_178]) ).
tcf(c_217912,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_217884,c_179]) ).
tcf(c_217913,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_217884,c_170]) ).
tcf(c_217914,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_217884,c_214]) ).
tcf(c_217915,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_217884,c_208]) ).
tcf(c_217916,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_217884,c_213]) ).
tcf(c_217917,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_217884,c_207]) ).
tcf(c_217919,plain,
( ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ( tl(iPr_def_13) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_217884,c_142]) ).
tcf(c_217920,plain,
( memberP(iPr_def_13,hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ ssItem(hd(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_217884,c_168]) ).
tcf(c_217922,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_217884,c_177]) ).
tcf(c_217923,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_217884,c_169]) ).
tcf(c_217924,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_217884,c_177]) ).
tcf(c_217925,plain,
memberP(iPr_def_13,hd(iPr_def_13)),
inference(forward_subsumption_resolution,[status(thm)],[c_217920,c_181732,c_179265]) ).
tcf(c_217926,plain,
tl(iPr_def_13) != iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_217919,c_181732,c_179265]) ).
tcf(c_217927,plain,
( frontsegP(nil,tl(iPr_def_13))
| ~ frontsegP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217908,c_181732,c_179265]) ).
tcf(c_217930,plain,
( ( hd(iPr_def_13) = sK57 )
| ~ frontsegP(iPr_def_13,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217907,c_181732,c_179265]) ).
tcf(c_217933,plain,
( ( hd(iPr_def_13) = sK57 )
| ~ frontsegP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217906,c_181732,c_179265]) ).
tcf(c_217936,plain,
( ( hd(iPr_def_13) = sK57 )
| ( iPr_def_10 != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217905,c_181732,c_179265]) ).
tcf(c_217939,plain,
( ( tl(iPr_def_13) = nil )
| ( iPr_def_10 != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217904,c_181732,c_179265]) ).
tcf(c_217942,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ memberP(tl(iPr_def_13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217923,c_181732,c_179265]) ).
tcf(c_217946,plain,
( totalorderedP(tl(iPr_def_13))
| ( tl(iPr_def_13) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217917,c_176164,c_181732,c_179265]) ).
tcf(c_217949,plain,
( strictorderedP(tl(iPr_def_13))
| ( tl(iPr_def_13) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217916,c_176158,c_181732,c_179265]) ).
tcf(c_217952,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_217924,c_181732,c_179265]) ).
tcf(c_217956,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_217922,c_181732,c_179265]) ).
tcf(c_217960,plain,
( leq(hd(iPr_def_13),hd(tl(iPr_def_13)))
| ( tl(iPr_def_13) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217915,c_176164,c_181732,c_179265]) ).
tcf(c_217963,plain,
( lt(hd(iPr_def_13),hd(tl(iPr_def_13)))
| ( tl(iPr_def_13) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217914,c_176158,c_181732,c_179265]) ).
tcf(c_217966,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_217913,c_181732,c_179265]) ).
tcf(c_217971,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_217912,c_181732,c_179265]) ).
tcf(c_217976,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_217903,c_181732,c_179265]) ).
tcf(c_217981,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_217911,c_181732,c_179265]) ).
tcf(c_217986,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_217902,c_181732,c_179265]) ).
tcf(c_217991,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_217910,c_181732,c_179265]) ).
tcf(c_217996,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_217909,c_181732,c_179265]) ).
tcf(c_218001,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_217893,c_217884]) ).
tcf(c_218002,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_218001,c_181732,c_179265]) ).
tcf(c_218048,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_217899,c_217884]) ).
tcf(c_218049,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_218048,c_181732,c_179265]) ).
tcf(c_218055,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_217889,c_217884]) ).
tcf(c_218056,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_218055,c_181732,c_179265]) ).
tcf(c_218061,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_217886,c_217884]) ).
tcf(c_218062,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_218061,c_181732,c_179265]) ).
tcf(c_218067,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_217895,c_217884]) ).
tcf(c_218068,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_218067,c_181732,c_179265]) ).
tcf(c_218075,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_217894,c_217884]) ).
tcf(c_218076,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_218075,c_181732,c_179265]) ).
tcf(c_218083,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_217888,c_217884]) ).
tcf(c_218084,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_218083,c_181732,c_179265]) ).
tcf(c_218091,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_217887,c_217884]) ).
tcf(c_218092,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_218091,c_181732,c_179265]) ).
tcf(c_218369,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_217925,c_57]) ).
tcf(c_218370,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_217925,c_182610]) ).
tcf(c_218371,plain,
( memberP(iPr_def_12,hd(iPr_def_13))
| memberP(sK60,hd(iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218370,c_179265]) ).
tcf(c_218374,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_218369,c_172129,c_179265]) ).
tcf(c_218387,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_217927,c_173]) ).
tcf(c_218388,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_217927,c_174]) ).
tcf(c_218389,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_217927,c_63]) ).
tcf(c_218390,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_217927,c_178124]) ).
tcf(c_218391,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_217927,c_178108]) ).
tcf(c_218392,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_217927,c_178104]) ).
tcf(c_218393,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_217927,c_178100]) ).
tcf(c_218394,plain,
( frontsegP(sK60,tl(iPr_def_13))
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_217927,c_178120]) ).
tcf(c_218395,plain,
( frontsegP(sK59,tl(iPr_def_13))
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_217927,c_178116]) ).
tcf(c_218396,plain,
( frontsegP(sK56,tl(iPr_def_13))
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_217927,c_178112]) ).
tcf(c_218397,plain,
( ( tl(iPr_def_13) = nil )
| ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_217927,c_182]) ).
tcf(c_218398,plain,
( frontsegP(sK56,tl(iPr_def_13))
| ~ frontsegP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218396,c_181732]) ).
tcf(c_218401,plain,
( frontsegP(sK59,tl(iPr_def_13))
| ~ frontsegP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218395,c_181732]) ).
tcf(c_218404,plain,
( frontsegP(sK60,tl(iPr_def_13))
| ~ frontsegP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218394,c_181732]) ).
tcf(c_218407,plain,
( frontsegP(iPr_def_12,tl(iPr_def_13))
| ~ frontsegP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218393,c_181732]) ).
tcf(c_218410,plain,
( frontsegP(iPr_def_11,tl(iPr_def_13))
| ~ frontsegP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218392,c_181732]) ).
tcf(c_218413,plain,
( frontsegP(iPr_def_13,tl(iPr_def_13))
| ~ frontsegP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218391,c_181732]) ).
tcf(c_218416,plain,
( frontsegP(iPr_def_10,tl(iPr_def_13))
| ~ frontsegP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218390,c_181732]) ).
tcf(c_218419,plain,
( ( tl(iPr_def_13) = nil )
| ~ frontsegP(iPr_def_10,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218397,c_181732]) ).
tcf(c_218422,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_218389,c_141,c_181732]) ).
tcf(c_218426,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_218387,c_141,c_181732]) ).
tcf(c_218435,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_218371,c_57]) ).
tcf(c_218437,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_218435,c_12927,c_179265]) ).
tcf(c_218444,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_218398,c_173]) ).
tcf(c_218445,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_218398,c_174]) ).
tcf(c_218446,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_218398,c_63]) ).
tcf(c_218447,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_218446,c_12924,c_181732]) ).
tcf(c_218450,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_218445,c_12924,c_181732]) ).
tcf(c_218454,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_218444,c_12924,c_181732]) ).
tcf(c_218463,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_218401,c_173]) ).
tcf(c_218464,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_218401,c_174]) ).
tcf(c_218465,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_218401,c_63]) ).
tcf(c_218469,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_218465,c_12926,c_181732]) ).
tcf(c_218472,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_218464,c_12926,c_181732]) ).
tcf(c_218476,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_218463,c_12926,c_181732]) ).
tcf(c_218548,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_203665,c_173]) ).
tcf(c_218549,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_203665,c_174]) ).
tcf(c_218550,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_203665,c_63]) ).
tcf(c_218566,plain,
app(sK56,sK11(app(sK56,sK59),sK56)) = app(sK56,sK59),
inference(global_subsumption_just,[status(thm)],[c_203694,c_68240]) ).
tcf(c_218568,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_218566,c_67]) ).
tcf(c_218571,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_218566,c_167]) ).
tcf(c_218572,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ( app(sK56,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_218566,c_231]) ).
tcf(c_218573,plain,
( ( sK11(app(sK56,sK59),sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ( app(sK56,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_218566,c_230]) ).
tcf(c_218574,plain,
( frontsegP(app(sK56,sK59),sK56)
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_218566,c_378]) ).
tcf(c_218575,plain,
( rearsegP(app(sK56,sK59),sK11(app(sK56,sK59),sK56))
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_218566,c_375]) ).
tcf(c_218576,plain,
( ssList(app(sK56,sK59))
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_218566,c_153]) ).
tcf(c_218577,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_218566,c_225]) ).
tcf(c_218578,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_218566,c_226]) ).
tcf(c_218579,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_218566,c_176]) ).
tcf(c_218580,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_218566,c_165]) ).
tcf(c_218581,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_218566,c_193]) ).
tcf(c_218582,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_218566,c_186]) ).
tcf(c_218583,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_218566,c_166]) ).
tcf(c_218584,plain,
( ( sK11(app(sK56,sK59),sK56) = nil )
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ( app(sK56,sK59) != sK56 ) ),
inference(superposition,[status(thm)],[c_218566,c_186532]) ).
tcf(c_218585,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_218566,c_187710]) ).
tcf(c_218586,plain,
! [X0: $i] :
( segmentP(app(sK56,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_218566,c_188661]) ).
tcf(c_218587,plain,
! [X0: $i] :
( segmentP(app(sK56,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_218566,c_188641]) ).
tcf(c_218588,plain,
( ssList(app(sK56,sK59))
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218576,c_12924]) ).
tcf(c_218591,plain,
( frontsegP(app(sK56,sK59),sK56)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218574,c_12924]) ).
tcf(c_218602,plain,
( rearsegP(app(sK56,sK59),sK11(app(sK56,sK59),sK56))
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218575,c_12924]) ).
tcf(c_218605,plain,
( segmentP(app(sK56,sK59),sK56)
| ~ ssList(app(sK56,sK59))
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(light_normalisation,[status(thm)],[c_218585,c_218566]) ).
tcf(c_218609,plain,
( ( nil = sK56 )
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ( app(sK56,sK59) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218572,c_12924]) ).
tcf(c_218616,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_218580,c_12924]) ).
tcf(c_218621,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_218579,c_12924]) ).
tcf(c_218626,plain,
( ( sK11(app(sK56,sK59),sK56) = nil )
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ( app(sK56,sK59) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218573,c_12924]) ).
tcf(c_218630,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_218583,c_12924]) ).
tcf(c_218635,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_218582,c_12924]) ).
tcf(c_218640,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_218571,c_12924]) ).
tcf(c_218646,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_218578,c_12924]) ).
tcf(c_218651,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_218577,c_12924]) ).
tcf(c_218656,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_218581,c_12924]) ).
tcf(c_218662,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_218568,c_218566]) ).
tcf(c_218663,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_218662,c_12924]) ).
tcf(c_218716,plain,
cons(hd(iPr_def_11),tl(iPr_def_11)) = iPr_def_11,
inference(global_subsumption_just,[status(thm)],[c_175835,c_20122,c_20882]) ).
tcf(c_218718,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_218716,c_130]) ).
tcf(c_218719,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_218716,c_122]) ).
tcf(c_218720,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_218716,c_114]) ).
tcf(c_218721,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_218716,c_130]) ).
tcf(c_218725,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_218716,c_54]) ).
tcf(c_218726,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_218716,c_122]) ).
tcf(c_218727,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_218716,c_114]) ).
tcf(c_218731,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_218716,c_137]) ).
tcf(c_218734,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_218716,c_178]) ).
tcf(c_218735,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_218716,c_179]) ).
tcf(c_218736,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_218716,c_189707]) ).
tcf(c_218737,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_218716,c_189571]) ).
tcf(c_218738,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_218716,c_189128]) ).
tcf(c_218739,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_218716,c_189123]) ).
tcf(c_218740,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_218716,c_188375]) ).
tcf(c_218741,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_218716,c_144]) ).
tcf(c_218742,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_218716,c_143]) ).
tcf(c_218743,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_218716,c_178]) ).
tcf(c_218744,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_218716,c_179]) ).
tcf(c_218745,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_218716,c_170]) ).
tcf(c_218746,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_218716,c_214]) ).
tcf(c_218747,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_218716,c_208]) ).
tcf(c_218748,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_218716,c_213]) ).
tcf(c_218749,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_218716,c_207]) ).
tcf(c_218751,plain,
( ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11))
| ( tl(iPr_def_11) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_218716,c_142]) ).
tcf(c_218752,plain,
( memberP(iPr_def_11,hd(iPr_def_11))
| ~ ssList(tl(iPr_def_11))
| ~ ssItem(hd(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_218716,c_168]) ).
tcf(c_218754,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_218716,c_177]) ).
tcf(c_218755,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_218716,c_169]) ).
tcf(c_218756,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_218716,c_177]) ).
tcf(c_218757,plain,
memberP(iPr_def_11,hd(iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_218752,c_182529,c_179843]) ).
tcf(c_218758,plain,
tl(iPr_def_11) != iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_218751,c_182529,c_179843]) ).
tcf(c_218759,plain,
( frontsegP(nil,tl(iPr_def_11))
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218740,c_182529,c_179843]) ).
tcf(c_218762,plain,
( ( hd(iPr_def_11) = sK57 )
| ~ frontsegP(iPr_def_11,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218739,c_182529,c_179843]) ).
tcf(c_218765,plain,
( ( hd(iPr_def_11) = sK57 )
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218738,c_182529,c_179843]) ).
tcf(c_218768,plain,
( ( hd(iPr_def_11) = sK57 )
| ( iPr_def_10 != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218737,c_182529,c_179843]) ).
tcf(c_218771,plain,
( ( tl(iPr_def_11) = nil )
| ( iPr_def_10 != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218736,c_182529,c_179843]) ).
tcf(c_218774,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssItem(X0)
| ~ memberP(tl(iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218755,c_182529,c_179843]) ).
tcf(c_218778,plain,
( totalorderedP(tl(iPr_def_11))
| ( tl(iPr_def_11) = nil )
| ~ totalorderedP(iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218749,c_182529,c_179843]) ).
tcf(c_218782,plain,
( strictorderedP(tl(iPr_def_11))
| ( tl(iPr_def_11) = nil )
| ~ strictorderedP(iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218748,c_182529,c_179843]) ).
tcf(c_218786,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_218756,c_182529,c_179843]) ).
tcf(c_218790,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_218754,c_182529,c_179843]) ).
tcf(c_218794,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_218747,c_182529,c_179843]) ).
tcf(c_218798,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_218746,c_182529,c_179843]) ).
tcf(c_218802,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_218745,c_182529,c_179843]) ).
tcf(c_218807,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_218744,c_182529,c_179843]) ).
tcf(c_218812,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_218735,c_182529,c_179843]) ).
tcf(c_218817,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_218743,c_182529,c_179843]) ).
tcf(c_218822,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_218734,c_182529,c_179843]) ).
tcf(c_218827,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_218742,c_182529,c_179843]) ).
tcf(c_218832,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_218741,c_182529,c_179843]) ).
tcf(c_218837,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_218725,c_218716]) ).
tcf(c_218838,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_218837,c_182529,c_179843]) ).
tcf(c_218884,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_218731,c_218716]) ).
tcf(c_218885,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_218884,c_182529,c_179843]) ).
tcf(c_218891,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_218721,c_218716]) ).
tcf(c_218892,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_218891,c_182529,c_179843]) ).
tcf(c_218897,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_218718,c_218716]) ).
tcf(c_218898,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_218897,c_182529,c_179843]) ).
tcf(c_218903,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_218727,c_218716]) ).
tcf(c_218904,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_218903,c_182529,c_179843]) ).
tcf(c_218911,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_218726,c_218716]) ).
tcf(c_218912,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_218911,c_182529,c_179843]) ).
tcf(c_218919,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_218720,c_218716]) ).
tcf(c_218920,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_218919,c_182529,c_179843]) ).
tcf(c_218927,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_218719,c_218716]) ).
tcf(c_218928,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_218927,c_182529,c_179843]) ).
tcf(c_219127,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_218757,c_57]) ).
tcf(c_219128,plain,
( memberP(iPr_def_12,hd(iPr_def_11))
| ~ ssItem(hd(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_218757,c_177523]) ).
tcf(c_219129,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_218757,c_182620]) ).
tcf(c_219130,plain,
memberP(iPr_def_12,hd(iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_219128,c_179843]) ).
tcf(c_219131,plain,
( memberP(iPr_def_10,hd(iPr_def_11))
| memberP(sK59,hd(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219129,c_179843]) ).
tcf(c_219134,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_219127,c_172791,c_179843]) ).
tcf(c_219139,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_194214,c_67]) ).
tcf(c_219142,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_194214,c_167]) ).
tcf(c_219144,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_194214,c_230]) ).
tcf(c_219146,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_194214,c_375]) ).
tcf(c_219148,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_194214,c_225]) ).
tcf(c_219149,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_194214,c_186556]) ).
tcf(c_219150,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_194214,c_186552]) ).
tcf(c_219151,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_194214,c_186548]) ).
tcf(c_219152,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_194214,c_226]) ).
tcf(c_219153,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_194214,c_176]) ).
tcf(c_219155,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_194214,c_193]) ).
tcf(c_219156,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_194214,c_186]) ).
tcf(c_219157,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_194214,c_166]) ).
tcf(c_219158,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_219146,c_141]) ).
tcf(c_219171,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_219144,c_141]) ).
tcf(c_219175,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_219157,c_141]) ).
tcf(c_219180,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_219156,c_141]) ).
tcf(c_219185,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_219142,c_141]) ).
tcf(c_219191,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_219152,c_141]) ).
tcf(c_219196,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_219148,c_141]) ).
tcf(c_219201,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_219155,c_141]) ).
tcf(c_219207,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_219139,c_194214]) ).
tcf(c_219208,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_219207,c_141]) ).
tcf(c_219425,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_219130,c_57]) ).
tcf(c_219426,plain,
( memberP(iPr_def_13,hd(iPr_def_11))
| ~ ssItem(hd(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_219130,c_177519]) ).
tcf(c_219427,plain,
memberP(iPr_def_13,hd(iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_219426,c_179843]) ).
tcf(c_219428,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_219425,c_172792,c_179843]) ).
tcf(c_219429,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_219427,c_57]) ).
tcf(c_219431,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_219429,c_172129,c_179843]) ).
tcf(c_219436,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_218404,c_173]) ).
tcf(c_219437,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_218404,c_174]) ).
tcf(c_219438,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_218404,c_63]) ).
tcf(c_219439,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_219438,c_12927,c_181732]) ).
tcf(c_219442,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_219437,c_12927,c_181732]) ).
tcf(c_219446,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_219436,c_12927,c_181732]) ).
tcf(c_219520,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_218407,c_173]) ).
tcf(c_219521,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_218407,c_174]) ).
tcf(c_219522,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_218407,c_63]) ).
tcf(c_219524,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_219522,c_172792,c_181732]) ).
tcf(c_219527,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_219521,c_172792,c_181732]) ).
tcf(c_219531,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_219520,c_172792,c_181732]) ).
tcf(c_219572,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_218602,c_183]) ).
tcf(c_219573,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_218602,c_184]) ).
tcf(c_219574,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_218602,c_66]) ).
tcf(c_219601,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_203701,c_173]) ).
tcf(c_219602,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_203701,c_174]) ).
tcf(c_219603,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_203701,c_63]) ).
tcf(c_219619,plain,
cons(hd(iPr_def_12),tl(iPr_def_12)) = iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_175836,c_20123,c_20881]) ).
tcf(c_219621,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_219619,c_130]) ).
tcf(c_219622,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_219619,c_122]) ).
tcf(c_219623,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_219619,c_114]) ).
tcf(c_219624,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_219619,c_130]) ).
tcf(c_219628,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_219619,c_54]) ).
tcf(c_219629,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_219619,c_122]) ).
tcf(c_219630,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_219619,c_114]) ).
tcf(c_219634,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_219619,c_137]) ).
tcf(c_219637,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_219619,c_178]) ).
tcf(c_219638,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_219619,c_179]) ).
tcf(c_219639,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_219619,c_189707]) ).
tcf(c_219640,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_219619,c_189571]) ).
tcf(c_219641,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_219619,c_189128]) ).
tcf(c_219642,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_219619,c_189123]) ).
tcf(c_219643,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_219619,c_188375]) ).
tcf(c_219644,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_219619,c_144]) ).
tcf(c_219645,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_219619,c_143]) ).
tcf(c_219646,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_219619,c_178]) ).
tcf(c_219647,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_219619,c_179]) ).
tcf(c_219648,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_219619,c_170]) ).
tcf(c_219649,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_219619,c_214]) ).
tcf(c_219650,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_219619,c_208]) ).
tcf(c_219651,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_219619,c_213]) ).
tcf(c_219652,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_219619,c_207]) ).
tcf(c_219654,plain,
( ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ( tl(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_219619,c_142]) ).
tcf(c_219655,plain,
( memberP(iPr_def_12,hd(iPr_def_12))
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_219619,c_168]) ).
tcf(c_219657,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_219619,c_177]) ).
tcf(c_219658,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_219619,c_169]) ).
tcf(c_219659,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_219619,c_177]) ).
tcf(c_219660,plain,
memberP(iPr_def_12,hd(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_219655,c_183724,c_180212]) ).
tcf(c_219661,plain,
tl(iPr_def_12) != iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_219654,c_183724,c_180212]) ).
tcf(c_219662,plain,
( frontsegP(nil,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219643,c_183724,c_180212]) ).
tcf(c_219665,plain,
( ( hd(iPr_def_12) = sK57 )
| ~ frontsegP(iPr_def_12,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219642,c_183724,c_180212]) ).
tcf(c_219668,plain,
( ( hd(iPr_def_12) = sK57 )
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219641,c_183724,c_180212]) ).
tcf(c_219671,plain,
( ( hd(iPr_def_12) = sK57 )
| ( iPr_def_10 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219640,c_183724,c_180212]) ).
tcf(c_219674,plain,
( ( tl(iPr_def_12) = nil )
| ( iPr_def_10 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219639,c_183724,c_180212]) ).
tcf(c_219677,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(tl(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219658,c_183724,c_180212]) ).
tcf(c_219681,plain,
( totalorderedP(tl(iPr_def_12))
| ( tl(iPr_def_12) = nil )
| ~ totalorderedP(iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219652,c_183724,c_180212]) ).
tcf(c_219685,plain,
( strictorderedP(tl(iPr_def_12))
| ( tl(iPr_def_12) = nil )
| ~ strictorderedP(iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219651,c_183724,c_180212]) ).
tcf(c_219689,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_219659,c_183724,c_180212]) ).
tcf(c_219693,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_219657,c_183724,c_180212]) ).
tcf(c_219697,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_219650,c_183724,c_180212]) ).
tcf(c_219701,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_219649,c_183724,c_180212]) ).
tcf(c_219705,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_219648,c_183724,c_180212]) ).
tcf(c_219710,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_219647,c_183724,c_180212]) ).
tcf(c_219715,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_219638,c_183724,c_180212]) ).
tcf(c_219720,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_219646,c_183724,c_180212]) ).
tcf(c_219725,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_219637,c_183724,c_180212]) ).
tcf(c_219730,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_219645,c_183724,c_180212]) ).
tcf(c_219735,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_219644,c_183724,c_180212]) ).
tcf(c_219740,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_219628,c_219619]) ).
tcf(c_219741,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_219740,c_183724,c_180212]) ).
tcf(c_219787,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_219634,c_219619]) ).
tcf(c_219788,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_219787,c_183724,c_180212]) ).
tcf(c_219794,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_219624,c_219619]) ).
tcf(c_219795,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_219794,c_183724,c_180212]) ).
tcf(c_219800,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_219621,c_219619]) ).
tcf(c_219801,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_219800,c_183724,c_180212]) ).
tcf(c_219806,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_219630,c_219619]) ).
tcf(c_219807,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_219806,c_183724,c_180212]) ).
tcf(c_219814,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_219629,c_219619]) ).
tcf(c_219815,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_219814,c_183724,c_180212]) ).
tcf(c_219822,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_219623,c_219619]) ).
tcf(c_219823,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_219822,c_183724,c_180212]) ).
tcf(c_219830,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_219622,c_219619]) ).
tcf(c_219831,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_219830,c_183724,c_180212]) ).
tcf(c_220062,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_219660,c_57]) ).
tcf(c_220063,plain,
( memberP(iPr_def_13,hd(iPr_def_12))
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_219660,c_177519]) ).
tcf(c_220064,plain,
memberP(iPr_def_13,hd(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_220063,c_180212]) ).
tcf(c_220065,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_220062,c_172792,c_180212]) ).
tcf(c_220071,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_194294,c_67]) ).
tcf(c_220074,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_194294,c_167]) ).
tcf(c_220075,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_194294,c_231]) ).
tcf(c_220077,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_194294,c_378]) ).
tcf(c_220080,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_194294,c_225]) ).
tcf(c_220081,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_194294,c_226]) ).
tcf(c_220082,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_194294,c_176]) ).
tcf(c_220083,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_194294,c_165]) ).
tcf(c_220084,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_194294,c_193]) ).
tcf(c_220085,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_194294,c_186]) ).
tcf(c_220087,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_194294,c_185883]) ).
tcf(c_220088,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_194294,c_185879]) ).
tcf(c_220089,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_194294,c_185875]) ).
tcf(c_220090,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_220077,c_141]) ).
tcf(c_220103,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_220075,c_141]) ).
tcf(c_220107,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_220083,c_141]) ).
tcf(c_220112,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_220082,c_141]) ).
tcf(c_220118,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_220074,c_141]) ).
tcf(c_220124,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_220081,c_141]) ).
tcf(c_220129,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_220080,c_141]) ).
tcf(c_220134,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_220071,c_194294]) ).
tcf(c_220135,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_220134,c_141]) ).
tcf(c_220159,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_220064,c_57]) ).
tcf(c_220161,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_220159,c_172129,c_180212]) ).
tcf(c_220166,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_218410,c_173]) ).
tcf(c_220167,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_218410,c_174]) ).
tcf(c_220168,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_218410,c_63]) ).
tcf(c_220171,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_220168,c_172791,c_181732]) ).
tcf(c_220174,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_220167,c_172791,c_181732]) ).
tcf(c_220178,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_220166,c_172791,c_181732]) ).
tcf(c_220187,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_218413,c_173]) ).
tcf(c_220188,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_218413,c_174]) ).
tcf(c_220189,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_218413,c_63]) ).
tcf(c_220190,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_220189,c_172129,c_181732]) ).
tcf(c_220193,plain,
( ~ frontsegP(iPr_def_10,iPr_def_13)
| ~ frontsegP(tl(iPr_def_13),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220188,c_217926,c_172129,c_181732]) ).
tcf(c_220196,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_220187,c_172129,c_181732]) ).
tcf(c_220205,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_218416,c_173]) ).
tcf(c_220206,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_218416,c_174]) ).
tcf(c_220207,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_218416,c_63]) ).
tcf(c_220208,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_220207,c_172620,c_181732]) ).
tcf(c_220211,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_220206,c_172620,c_181732]) ).
tcf(c_220215,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_220205,c_172620,c_181732]) ).
tcf(c_220220,plain,
app(sK60,sK11(app(sK60,sK56),sK60)) = app(sK60,sK56),
inference(global_subsumption_just,[status(thm)],[c_204765,c_64432]) ).
tcf(c_220222,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_220220,c_67]) ).
tcf(c_220225,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_220220,c_167]) ).
tcf(c_220226,plain,
( ( nil = sK60 )
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK56),sK60))
| ( app(sK60,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_220220,c_231]) ).
tcf(c_220227,plain,
( ( sK11(app(sK60,sK56),sK60) = nil )
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK56),sK60))
| ( app(sK60,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_220220,c_230]) ).
tcf(c_220228,plain,
( frontsegP(app(sK60,sK56),sK60)
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK56),sK60)) ),
inference(superposition,[status(thm)],[c_220220,c_378]) ).
tcf(c_220229,plain,
( rearsegP(app(sK60,sK56),sK11(app(sK60,sK56),sK60))
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK56),sK60)) ),
inference(superposition,[status(thm)],[c_220220,c_375]) ).
tcf(c_220230,plain,
( ssList(app(sK60,sK56))
| ~ ssList(sK60)
| ~ ssList(sK11(app(sK60,sK56),sK60)) ),
inference(superposition,[status(thm)],[c_220220,c_153]) ).
tcf(c_220231,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_220220,c_225]) ).
tcf(c_220232,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_220220,c_226]) ).
tcf(c_220233,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_220220,c_176]) ).
tcf(c_220234,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_220220,c_165]) ).
tcf(c_220235,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_220220,c_193]) ).
tcf(c_220236,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_220220,c_186]) ).
tcf(c_220237,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_220220,c_166]) ).
tcf(c_220238,plain,
( ( sK11(app(sK60,sK56),sK60) = nil )
| ~ ssList(sK11(app(sK60,sK56),sK60))
| ( app(sK60,sK56) != sK60 ) ),
inference(superposition,[status(thm)],[c_220220,c_186540]) ).
tcf(c_220239,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_220220,c_187720]) ).
tcf(c_220240,plain,
! [X0: $i] :
( segmentP(app(sK60,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(sK60,X0)
| ~ ssList(sK11(app(sK60,sK56),sK60)) ),
inference(superposition,[status(thm)],[c_220220,c_188671]) ).
tcf(c_220241,plain,
! [X0: $i] :
( segmentP(app(sK60,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK60,sK56),sK60)) ),
inference(superposition,[status(thm)],[c_220220,c_188651]) ).
tcf(c_220242,plain,
( ssList(app(sK60,sK56))
| ~ ssList(sK11(app(sK60,sK56),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220230,c_12927]) ).
tcf(c_220245,plain,
( frontsegP(app(sK60,sK56),sK60)
| ~ ssList(sK11(app(sK60,sK56),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220228,c_12927]) ).
tcf(c_220256,plain,
( rearsegP(app(sK60,sK56),sK11(app(sK60,sK56),sK60))
| ~ ssList(sK11(app(sK60,sK56),sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220229,c_12927]) ).
tcf(c_220259,plain,
( segmentP(app(sK60,sK56),sK60)
| ~ ssList(app(sK60,sK56))
| ~ ssList(sK11(app(sK60,sK56),sK60)) ),
inference(light_normalisation,[status(thm)],[c_220239,c_220220]) ).
tcf(c_220263,plain,
( ( nil = sK60 )
| ~ ssList(sK11(app(sK60,sK56),sK60))
| ( app(sK60,sK56) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220226,c_12927]) ).
tcf(c_220270,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_220234,c_12927]) ).
tcf(c_220275,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_220233,c_12927]) ).
tcf(c_220280,plain,
( ( sK11(app(sK60,sK56),sK60) = nil )
| ~ ssList(sK11(app(sK60,sK56),sK60))
| ( app(sK60,sK56) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220227,c_12927]) ).
tcf(c_220284,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_220237,c_12927]) ).
tcf(c_220289,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_220236,c_12927]) ).
tcf(c_220294,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_220225,c_12927]) ).
tcf(c_220300,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_220232,c_12927]) ).
tcf(c_220305,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_220231,c_12927]) ).
tcf(c_220310,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_220235,c_12927]) ).
tcf(c_220316,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_220222,c_220220]) ).
tcf(c_220317,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_220316,c_12927]) ).
tcf(c_220931,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_220256,c_183]) ).
tcf(c_220932,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_220256,c_184]) ).
tcf(c_220933,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_220256,c_66]) ).
tcf(c_221196,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_204772,c_173]) ).
tcf(c_221197,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_204772,c_174]) ).
tcf(c_221198,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_204772,c_63]) ).
tcf(c_221214,plain,
app(sK59,sK11(app(sK59,sK56),sK59)) = app(sK59,sK56),
inference(global_subsumption_just,[status(thm)],[c_205880,c_67117]) ).
tcf(c_221216,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_221214,c_67]) ).
tcf(c_221219,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_221214,c_167]) ).
tcf(c_221220,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ( app(sK59,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_221214,c_231]) ).
tcf(c_221221,plain,
( ( sK11(app(sK59,sK56),sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ( app(sK59,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_221214,c_230]) ).
tcf(c_221222,plain,
( frontsegP(app(sK59,sK56),sK59)
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_221214,c_378]) ).
tcf(c_221223,plain,
( rearsegP(app(sK59,sK56),sK11(app(sK59,sK56),sK59))
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_221214,c_375]) ).
tcf(c_221224,plain,
( ssList(app(sK59,sK56))
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_221214,c_153]) ).
tcf(c_221225,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_221214,c_225]) ).
tcf(c_221226,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_221214,c_226]) ).
tcf(c_221227,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_221214,c_176]) ).
tcf(c_221228,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_221214,c_165]) ).
tcf(c_221229,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_221214,c_193]) ).
tcf(c_221230,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_221214,c_186]) ).
tcf(c_221231,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_221214,c_166]) ).
tcf(c_221232,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_221214,c_186572]) ).
tcf(c_221233,plain,
( ( sK11(app(sK59,sK56),sK59) = nil )
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ( app(sK59,sK56) != sK59 ) ),
inference(superposition,[status(thm)],[c_221214,c_186536]) ).
tcf(c_221234,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_221214,c_187715]) ).
tcf(c_221235,plain,
! [X0: $i] :
( segmentP(app(sK59,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_221214,c_188666]) ).
tcf(c_221236,plain,
! [X0: $i] :
( segmentP(app(sK59,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_221214,c_188646]) ).
tcf(c_221237,plain,
( ssList(app(sK59,sK56))
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221224,c_12926]) ).
tcf(c_221240,plain,
( frontsegP(app(sK59,sK56),sK59)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221222,c_12926]) ).
tcf(c_221251,plain,
( rearsegP(app(sK59,sK56),sK11(app(sK59,sK56),sK59))
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221223,c_12926]) ).
tcf(c_221254,plain,
( segmentP(app(sK59,sK56),sK59)
| ~ ssList(app(sK59,sK56))
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(light_normalisation,[status(thm)],[c_221234,c_221214]) ).
tcf(c_221258,plain,
( ( nil = sK59 )
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ( app(sK59,sK56) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221220,c_12926]) ).
tcf(c_221268,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_221228,c_12926]) ).
tcf(c_221273,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_221227,c_12926]) ).
tcf(c_221278,plain,
( ( sK11(app(sK59,sK56),sK59) = nil )
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ( app(sK59,sK56) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221221,c_12926]) ).
tcf(c_221282,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_221231,c_12926]) ).
tcf(c_221287,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_221230,c_12926]) ).
tcf(c_221292,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_221219,c_12926]) ).
tcf(c_221298,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_221226,c_12926]) ).
tcf(c_221303,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_221225,c_12926]) ).
tcf(c_221308,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_221229,c_12926]) ).
tcf(c_221314,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_221216,c_221214]) ).
tcf(c_221315,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_221314,c_12926]) ).
tcf(c_221444,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_175838,c_130]) ).
tcf(c_221445,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_175838,c_122]) ).
tcf(c_221446,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_175838,c_114]) ).
tcf(c_221447,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_175838,c_130]) ).
tcf(c_221451,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_175838,c_54]) ).
tcf(c_221452,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_175838,c_122]) ).
tcf(c_221453,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_175838,c_114]) ).
tcf(c_221457,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_175838,c_137]) ).
tcf(c_221460,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_175838,c_178]) ).
tcf(c_221461,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_175838,c_179]) ).
tcf(c_221462,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_175838,c_189707]) ).
tcf(c_221463,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_175838,c_189571]) ).
tcf(c_221464,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_175838,c_189128]) ).
tcf(c_221465,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_175838,c_189123]) ).
tcf(c_221466,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_175838,c_188375]) ).
tcf(c_221467,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_175838,c_144]) ).
tcf(c_221468,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_175838,c_143]) ).
tcf(c_221469,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_175838,c_178]) ).
tcf(c_221470,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_175838,c_179]) ).
tcf(c_221471,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_175838,c_170]) ).
tcf(c_221472,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_175838,c_214]) ).
tcf(c_221473,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_175838,c_208]) ).
tcf(c_221474,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_175838,c_213]) ).
tcf(c_221475,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_175838,c_207]) ).
tcf(c_221477,plain,
( ( nil = sK60 )
| ( tl(sK60) = nil )
| ~ ssList(tl(tl(sK60)))
| ~ ssItem(hd(tl(sK60)))
| ( tl(tl(sK60)) != tl(sK60) ) ),
inference(superposition,[status(thm)],[c_175838,c_142]) ).
tcf(c_221478,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_175838,c_168]) ).
tcf(c_221480,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_175838,c_177]) ).
tcf(c_221481,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_175838,c_169]) ).
tcf(c_221482,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_175838,c_177]) ).
tcf(c_221768,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_194931,c_67]) ).
tcf(c_221771,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_194931,c_167]) ).
tcf(c_221773,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_194931,c_230]) ).
tcf(c_221775,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_194931,c_375]) ).
tcf(c_221777,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_194931,c_225]) ).
tcf(c_221778,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_194931,c_186556]) ).
tcf(c_221779,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_194931,c_186552]) ).
tcf(c_221780,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_194931,c_186548]) ).
tcf(c_221781,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_194931,c_226]) ).
tcf(c_221782,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_194931,c_176]) ).
tcf(c_221784,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_194931,c_193]) ).
tcf(c_221785,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_194931,c_186]) ).
tcf(c_221786,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_194931,c_166]) ).
tcf(c_221787,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_221775,c_141]) ).
tcf(c_221800,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_221773,c_141]) ).
tcf(c_221804,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_221786,c_141]) ).
tcf(c_221809,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_221785,c_141]) ).
tcf(c_221814,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_221771,c_141]) ).
tcf(c_221820,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_221781,c_141]) ).
tcf(c_221825,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_221777,c_141]) ).
tcf(c_221830,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_221784,c_141]) ).
tcf(c_221836,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_221768,c_194931]) ).
tcf(c_221837,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_221836,c_141]) ).
tcf(c_221862,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_218759,c_173]) ).
tcf(c_221863,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_218759,c_174]) ).
tcf(c_221864,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_218759,c_63]) ).
tcf(c_221865,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_218759,c_178124]) ).
tcf(c_221866,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_218759,c_178108]) ).
tcf(c_221867,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_218759,c_178104]) ).
tcf(c_221868,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_218759,c_178100]) ).
tcf(c_221869,plain,
( frontsegP(sK60,tl(iPr_def_11))
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_218759,c_178120]) ).
tcf(c_221870,plain,
( frontsegP(sK59,tl(iPr_def_11))
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_218759,c_178116]) ).
tcf(c_221871,plain,
( frontsegP(sK56,tl(iPr_def_11))
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_218759,c_178112]) ).
tcf(c_221873,plain,
( ( tl(iPr_def_11) = nil )
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_218759,c_194932]) ).
tcf(c_221876,plain,
( frontsegP(sK56,tl(iPr_def_11))
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221871,c_182529]) ).
tcf(c_221879,plain,
( frontsegP(sK59,tl(iPr_def_11))
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221870,c_182529]) ).
tcf(c_221882,plain,
( frontsegP(sK60,tl(iPr_def_11))
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221869,c_182529]) ).
tcf(c_221885,plain,
( frontsegP(iPr_def_12,tl(iPr_def_11))
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221868,c_182529]) ).
tcf(c_221888,plain,
( frontsegP(iPr_def_11,tl(iPr_def_11))
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221867,c_182529]) ).
tcf(c_221891,plain,
( frontsegP(iPr_def_13,tl(iPr_def_11))
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221866,c_182529]) ).
tcf(c_221894,plain,
( frontsegP(iPr_def_10,tl(iPr_def_11))
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221865,c_182529]) ).
tcf(c_221897,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_221864,c_141,c_182529]) ).
tcf(c_221901,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_221862,c_141,c_182529]) ).
tcf(c_221918,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_219131,c_57]) ).
tcf(c_221922,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_221918,c_12926,c_179843]) ).
tcf(c_221940,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_219662,c_173]) ).
tcf(c_221941,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_219662,c_174]) ).
tcf(c_221942,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_219662,c_63]) ).
tcf(c_221943,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_219662,c_178124]) ).
tcf(c_221944,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_219662,c_178108]) ).
tcf(c_221945,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_219662,c_178104]) ).
tcf(c_221946,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_219662,c_178100]) ).
tcf(c_221947,plain,
( frontsegP(sK60,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_219662,c_178120]) ).
tcf(c_221948,plain,
( frontsegP(sK59,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_219662,c_178116]) ).
tcf(c_221949,plain,
( frontsegP(sK56,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_219662,c_178112]) ).
tcf(c_221950,plain,
( ( tl(iPr_def_12) = nil )
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_219662,c_182]) ).
tcf(c_221951,plain,
( frontsegP(sK56,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221949,c_183724]) ).
tcf(c_221954,plain,
( frontsegP(sK59,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221948,c_183724]) ).
tcf(c_221957,plain,
( frontsegP(sK60,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221947,c_183724]) ).
tcf(c_221960,plain,
( frontsegP(iPr_def_12,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221946,c_183724]) ).
tcf(c_221963,plain,
( frontsegP(iPr_def_11,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221945,c_183724]) ).
tcf(c_221966,plain,
( frontsegP(iPr_def_13,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221944,c_183724]) ).
tcf(c_221969,plain,
( frontsegP(iPr_def_10,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221943,c_183724]) ).
tcf(c_221972,plain,
( ( tl(iPr_def_12) = nil )
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221950,c_183724]) ).
tcf(c_221975,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_221942,c_141,c_183724]) ).
tcf(c_221979,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_221940,c_141,c_183724]) ).
tcf(c_222087,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_221876,c_173]) ).
tcf(c_222088,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_221876,c_174]) ).
tcf(c_222089,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_221876,c_63]) ).
tcf(c_222090,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_222089,c_12924,c_182529]) ).
tcf(c_222093,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_222088,c_12924,c_182529]) ).
tcf(c_222097,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_222087,c_12924,c_182529]) ).
tcf(c_222133,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_221251,c_183]) ).
tcf(c_222134,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_221251,c_184]) ).
tcf(c_222135,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_221251,c_66]) ).
tcf(c_222162,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_205887,c_173]) ).
tcf(c_222163,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_205887,c_174]) ).
tcf(c_222164,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_205887,c_63]) ).
tcf(c_222180,plain,
app(sK56,sK11(app(sK56,sK56),sK56)) = app(sK56,sK56),
inference(global_subsumption_just,[status(thm)],[c_206198,c_67728]) ).
tcf(c_222182,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_222180,c_67]) ).
tcf(c_222185,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_222180,c_167]) ).
tcf(c_222186,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ( app(sK56,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_222180,c_231]) ).
tcf(c_222187,plain,
( ( sK11(app(sK56,sK56),sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ( app(sK56,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_222180,c_230]) ).
tcf(c_222188,plain,
( frontsegP(app(sK56,sK56),sK56)
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_222180,c_378]) ).
tcf(c_222189,plain,
( rearsegP(app(sK56,sK56),sK11(app(sK56,sK56),sK56))
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_222180,c_375]) ).
tcf(c_222190,plain,
( ssList(app(sK56,sK56))
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_222180,c_153]) ).
tcf(c_222191,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_222180,c_225]) ).
tcf(c_222192,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_222180,c_226]) ).
tcf(c_222193,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_222180,c_176]) ).
tcf(c_222194,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_222180,c_165]) ).
tcf(c_222195,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_222180,c_193]) ).
tcf(c_222196,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_222180,c_186]) ).
tcf(c_222197,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_222180,c_166]) ).
tcf(c_222198,plain,
( ( sK11(app(sK56,sK56),sK56) = nil )
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ( app(sK56,sK56) != sK56 ) ),
inference(superposition,[status(thm)],[c_222180,c_186532]) ).
tcf(c_222199,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_222180,c_187710]) ).
tcf(c_222200,plain,
! [X0: $i] :
( segmentP(app(sK56,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_222180,c_188661]) ).
tcf(c_222201,plain,
! [X0: $i] :
( segmentP(app(sK56,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_222180,c_188641]) ).
tcf(c_222202,plain,
( ssList(app(sK56,sK56))
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222190,c_12924]) ).
tcf(c_222205,plain,
( frontsegP(app(sK56,sK56),sK56)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222188,c_12924]) ).
tcf(c_222216,plain,
( rearsegP(app(sK56,sK56),sK11(app(sK56,sK56),sK56))
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222189,c_12924]) ).
tcf(c_222219,plain,
( segmentP(app(sK56,sK56),sK56)
| ~ ssList(app(sK56,sK56))
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(light_normalisation,[status(thm)],[c_222199,c_222180]) ).
tcf(c_222223,plain,
( ( nil = sK56 )
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ( app(sK56,sK56) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222186,c_12924]) ).
tcf(c_222230,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_222194,c_12924]) ).
tcf(c_222235,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_222193,c_12924]) ).
tcf(c_222240,plain,
( ( sK11(app(sK56,sK56),sK56) = nil )
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ( app(sK56,sK56) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222187,c_12924]) ).
tcf(c_222244,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_222197,c_12924]) ).
tcf(c_222249,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_222196,c_12924]) ).
tcf(c_222254,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_222185,c_12924]) ).
tcf(c_222260,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_222192,c_12924]) ).
tcf(c_222265,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_222191,c_12924]) ).
tcf(c_222270,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_222195,c_12924]) ).
tcf(c_222276,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_222182,c_222180]) ).
tcf(c_222277,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_222276,c_12924]) ).
tcf(c_222288,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_175839,c_130]) ).
tcf(c_222289,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_175839,c_122]) ).
tcf(c_222290,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_175839,c_114]) ).
tcf(c_222291,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_175839,c_130]) ).
tcf(c_222295,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_175839,c_54]) ).
tcf(c_222296,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_175839,c_122]) ).
tcf(c_222297,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_175839,c_114]) ).
tcf(c_222301,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_175839,c_137]) ).
tcf(c_222304,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_175839,c_178]) ).
tcf(c_222305,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_175839,c_179]) ).
tcf(c_222306,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_175839,c_189707]) ).
tcf(c_222307,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_175839,c_189571]) ).
tcf(c_222308,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_175839,c_189128]) ).
tcf(c_222309,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_175839,c_189123]) ).
tcf(c_222310,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_175839,c_188375]) ).
tcf(c_222311,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_175839,c_144]) ).
tcf(c_222312,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_175839,c_143]) ).
tcf(c_222313,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_175839,c_178]) ).
tcf(c_222314,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_175839,c_179]) ).
tcf(c_222315,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_175839,c_170]) ).
tcf(c_222316,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_175839,c_214]) ).
tcf(c_222317,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_175839,c_208]) ).
tcf(c_222318,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_175839,c_213]) ).
tcf(c_222319,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_175839,c_207]) ).
tcf(c_222321,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ( tl(tl(sK59)) != tl(sK59) ) ),
inference(superposition,[status(thm)],[c_175839,c_142]) ).
tcf(c_222322,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_175839,c_168]) ).
tcf(c_222324,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_175839,c_177]) ).
tcf(c_222325,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_175839,c_169]) ).
tcf(c_222326,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_175839,c_177]) ).
tcf(c_222822,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_195011,c_67]) ).
tcf(c_222825,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_195011,c_167]) ).
tcf(c_222826,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_195011,c_231]) ).
tcf(c_222828,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_195011,c_378]) ).
tcf(c_222831,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_195011,c_225]) ).
tcf(c_222832,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_195011,c_226]) ).
tcf(c_222833,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_195011,c_176]) ).
tcf(c_222834,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_195011,c_165]) ).
tcf(c_222835,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_195011,c_193]) ).
tcf(c_222836,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_195011,c_186]) ).
tcf(c_222838,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_195011,c_185883]) ).
tcf(c_222839,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_195011,c_185879]) ).
tcf(c_222840,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_195011,c_185875]) ).
tcf(c_222841,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_222828,c_141]) ).
tcf(c_222854,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_222826,c_141]) ).
tcf(c_222858,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_222834,c_141]) ).
tcf(c_222863,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_222833,c_141]) ).
tcf(c_222869,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_222825,c_141]) ).
tcf(c_222875,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_222832,c_141]) ).
tcf(c_222880,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_222831,c_141]) ).
tcf(c_222885,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_222822,c_195011]) ).
tcf(c_222886,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_222885,c_141]) ).
tcf(c_222927,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_195279,c_67]) ).
tcf(c_222930,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_195279,c_167]) ).
tcf(c_222932,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_195279,c_230]) ).
tcf(c_222934,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_195279,c_375]) ).
tcf(c_222936,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_195279,c_225]) ).
tcf(c_222937,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_195279,c_186556]) ).
tcf(c_222938,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_195279,c_186552]) ).
tcf(c_222939,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_195279,c_186548]) ).
tcf(c_222940,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_195279,c_226]) ).
tcf(c_222941,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_195279,c_176]) ).
tcf(c_222943,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_195279,c_193]) ).
tcf(c_222944,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_195279,c_186]) ).
tcf(c_222945,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_195279,c_166]) ).
tcf(c_222946,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_222934,c_141]) ).
tcf(c_222959,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_222932,c_141]) ).
tcf(c_222963,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_222945,c_141]) ).
tcf(c_222968,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_222944,c_141]) ).
tcf(c_222973,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_222930,c_141]) ).
tcf(c_222979,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_222940,c_141]) ).
tcf(c_222984,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_222936,c_141]) ).
tcf(c_222989,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_222943,c_141]) ).
tcf(c_222995,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_222927,c_195279]) ).
tcf(c_222996,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_222995,c_141]) ).
tcf(c_223031,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_221879,c_173]) ).
tcf(c_223032,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_221879,c_174]) ).
tcf(c_223033,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_221879,c_63]) ).
tcf(c_223037,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_223033,c_12926,c_182529]) ).
tcf(c_223040,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_223032,c_12926,c_182529]) ).
tcf(c_223044,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_223031,c_12926,c_182529]) ).
tcf(c_223057,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_221882,c_173]) ).
tcf(c_223058,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_221882,c_174]) ).
tcf(c_223059,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_221882,c_63]) ).
tcf(c_223060,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_223059,c_12927,c_182529]) ).
tcf(c_223063,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_223058,c_12927,c_182529]) ).
tcf(c_223067,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_223057,c_12927,c_182529]) ).
tcf(c_223129,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_221885,c_173]) ).
tcf(c_223130,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_221885,c_174]) ).
tcf(c_223131,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_221885,c_63]) ).
tcf(c_223133,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_223131,c_172792,c_182529]) ).
tcf(c_223136,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_223130,c_172792,c_182529]) ).
tcf(c_223140,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_223129,c_172792,c_182529]) ).
tcf(c_223149,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_221888,c_173]) ).
tcf(c_223150,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_221888,c_174]) ).
tcf(c_223151,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_221888,c_63]) ).
tcf(c_223154,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_223151,c_172791,c_182529]) ).
tcf(c_223157,plain,
( ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ frontsegP(tl(iPr_def_11),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223150,c_218758,c_172791,c_182529]) ).
tcf(c_223160,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_223149,c_172791,c_182529]) ).
tcf(c_223253,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_175840,c_130]) ).
tcf(c_223254,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_175840,c_122]) ).
tcf(c_223255,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_175840,c_114]) ).
tcf(c_223256,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_175840,c_130]) ).
tcf(c_223260,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_175840,c_54]) ).
tcf(c_223261,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_175840,c_122]) ).
tcf(c_223262,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_175840,c_114]) ).
tcf(c_223266,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_175840,c_137]) ).
tcf(c_223269,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_175840,c_178]) ).
tcf(c_223270,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_175840,c_179]) ).
tcf(c_223271,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_175840,c_189707]) ).
tcf(c_223272,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_175840,c_189571]) ).
tcf(c_223273,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_175840,c_189128]) ).
tcf(c_223274,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_175840,c_189123]) ).
tcf(c_223275,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_175840,c_188375]) ).
tcf(c_223276,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_175840,c_144]) ).
tcf(c_223277,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_175840,c_143]) ).
tcf(c_223278,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_175840,c_178]) ).
tcf(c_223279,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_175840,c_179]) ).
tcf(c_223280,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_175840,c_170]) ).
tcf(c_223281,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_175840,c_214]) ).
tcf(c_223282,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_175840,c_208]) ).
tcf(c_223283,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_175840,c_213]) ).
tcf(c_223284,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_175840,c_207]) ).
tcf(c_223286,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ( tl(tl(sK56)) != tl(sK56) ) ),
inference(superposition,[status(thm)],[c_175840,c_142]) ).
tcf(c_223287,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_175840,c_168]) ).
tcf(c_223289,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_175840,c_177]) ).
tcf(c_223290,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_175840,c_169]) ).
tcf(c_223291,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_175840,c_177]) ).
tcf(c_223718,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_221891,c_173]) ).
tcf(c_223719,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_221891,c_174]) ).
tcf(c_223720,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_221891,c_63]) ).
tcf(c_223721,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_223720,c_172129,c_182529]) ).
tcf(c_223724,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_223719,c_172129,c_182529]) ).
tcf(c_223728,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_223718,c_172129,c_182529]) ).
tcf(c_223772,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_221894,c_173]) ).
tcf(c_223773,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_221894,c_174]) ).
tcf(c_223774,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_221894,c_63]) ).
tcf(c_223775,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_223774,c_172620,c_182529]) ).
tcf(c_223778,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_223773,c_172620,c_182529]) ).
tcf(c_223782,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_223772,c_172620,c_182529]) ).
tcf(c_223791,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_221951,c_173]) ).
tcf(c_223792,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_221951,c_174]) ).
tcf(c_223793,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_221951,c_63]) ).
tcf(c_223794,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_223793,c_12924,c_183724]) ).
tcf(c_223797,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_223792,c_12924,c_183724]) ).
tcf(c_223801,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_223791,c_12924,c_183724]) ).
tcf(c_223810,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_221954,c_173]) ).
tcf(c_223811,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_221954,c_174]) ).
tcf(c_223812,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_221954,c_63]) ).
tcf(c_223816,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_223812,c_12926,c_183724]) ).
tcf(c_223819,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_223811,c_12926,c_183724]) ).
tcf(c_223823,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_223810,c_12926,c_183724]) ).
tcf(c_224009,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_222216,c_183]) ).
tcf(c_224010,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_222216,c_184]) ).
tcf(c_224011,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_222216,c_66]) ).
tcf(c_224042,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_181153,c_223]) ).
tcf(c_224043,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_181153,c_212]) ).
tcf(c_224044,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_181153,c_206]) ).
tcf(c_224160,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_221957,c_173]) ).
tcf(c_224161,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_221957,c_174]) ).
tcf(c_224162,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_221957,c_63]) ).
tcf(c_224163,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_224162,c_12927,c_183724]) ).
tcf(c_224166,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_224161,c_12927,c_183724]) ).
tcf(c_224170,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_224160,c_12927,c_183724]) ).
tcf(c_224179,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_221960,c_173]) ).
tcf(c_224180,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_221960,c_174]) ).
tcf(c_224181,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_221960,c_63]) ).
tcf(c_224183,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_224181,c_172792,c_183724]) ).
tcf(c_224186,plain,
( ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224180,c_219661,c_172792,c_183724]) ).
tcf(c_224189,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_224179,c_172792,c_183724]) ).
tcf(c_224226,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_221963,c_173]) ).
tcf(c_224227,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_221963,c_174]) ).
tcf(c_224228,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_221963,c_63]) ).
tcf(c_224231,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_224228,c_172791,c_183724]) ).
tcf(c_224234,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_224227,c_172791,c_183724]) ).
tcf(c_224238,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_224226,c_172791,c_183724]) ).
tcf(c_224247,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_221966,c_173]) ).
tcf(c_224248,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_221966,c_174]) ).
tcf(c_224249,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_221966,c_63]) ).
tcf(c_224250,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_224249,c_172129,c_183724]) ).
tcf(c_224253,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_224248,c_172129,c_183724]) ).
tcf(c_224257,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_224247,c_172129,c_183724]) ).
tcf(c_224484,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_206205,c_173]) ).
tcf(c_224485,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_206205,c_174]) ).
tcf(c_224486,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_206205,c_63]) ).
tcf(c_224502,plain,
app(sK12(sK56,sK11(sK56,nil)),sK11(sK56,nil)) = sK56,
inference(global_subsumption_just,[status(thm)],[c_206718,c_69520]) ).
tcf(c_224504,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_224502,c_67]) ).
tcf(c_224507,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_224502,c_167]) ).
tcf(c_224508,plain,
( ( sK12(sK56,sK11(sK56,nil)) = nil )
| ~ ssList(sK11(sK56,nil))
| ~ ssList(sK12(sK56,sK11(sK56,nil)))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_224502,c_231]) ).
tcf(c_224509,plain,
( ( sK11(sK56,nil) = nil )
| ~ ssList(sK11(sK56,nil))
| ~ ssList(sK12(sK56,sK11(sK56,nil)))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_224502,c_230]) ).
tcf(c_224510,plain,
( frontsegP(sK56,sK12(sK56,sK11(sK56,nil)))
| ~ ssList(sK11(sK56,nil))
| ~ ssList(sK12(sK56,sK11(sK56,nil))) ),
inference(superposition,[status(thm)],[c_224502,c_378]) ).
tcf(c_224513,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_224502,c_225]) ).
tcf(c_224514,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_224502,c_226]) ).
tcf(c_224515,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_224502,c_176]) ).
tcf(c_224516,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_224502,c_165]) ).
tcf(c_224558,plain,
app(sK12(sK59,sK11(sK59,nil)),sK11(sK59,nil)) = sK59,
inference(global_subsumption_just,[status(thm)],[c_206730,c_69584]) ).
tcf(c_224560,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_224558,c_67]) ).
tcf(c_224563,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_224558,c_167]) ).
tcf(c_224564,plain,
( ( sK12(sK59,sK11(sK59,nil)) = nil )
| ~ ssList(sK11(sK59,nil))
| ~ ssList(sK12(sK59,sK11(sK59,nil)))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_224558,c_231]) ).
tcf(c_224565,plain,
( ( sK11(sK59,nil) = nil )
| ~ ssList(sK11(sK59,nil))
| ~ ssList(sK12(sK59,sK11(sK59,nil)))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_224558,c_230]) ).
tcf(c_224566,plain,
( frontsegP(sK59,sK12(sK59,sK11(sK59,nil)))
| ~ ssList(sK11(sK59,nil))
| ~ ssList(sK12(sK59,sK11(sK59,nil))) ),
inference(superposition,[status(thm)],[c_224558,c_378]) ).
tcf(c_224569,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_224558,c_225]) ).
tcf(c_224570,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_224558,c_226]) ).
tcf(c_224571,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_224558,c_176]) ).
tcf(c_224572,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_224558,c_165]) ).
tcf(c_224815,plain,
app(sK12(sK60,sK11(sK60,nil)),sK11(sK60,nil)) = sK60,
inference(global_subsumption_just,[status(thm)],[c_206745,c_69691]) ).
tcf(c_224817,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_224815,c_67]) ).
tcf(c_224820,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_224815,c_167]) ).
tcf(c_224821,plain,
( ( sK12(sK60,sK11(sK60,nil)) = nil )
| ~ ssList(sK11(sK60,nil))
| ~ ssList(sK12(sK60,sK11(sK60,nil)))
| ( nil != sK60 ) ),
inference(superposition,[status(thm)],[c_224815,c_231]) ).
tcf(c_224822,plain,
( ( sK11(sK60,nil) = nil )
| ~ ssList(sK11(sK60,nil))
| ~ ssList(sK12(sK60,sK11(sK60,nil)))
| ( nil != sK60 ) ),
inference(superposition,[status(thm)],[c_224815,c_230]) ).
tcf(c_224823,plain,
( frontsegP(sK60,sK12(sK60,sK11(sK60,nil)))
| ~ ssList(sK11(sK60,nil))
| ~ ssList(sK12(sK60,sK11(sK60,nil))) ),
inference(superposition,[status(thm)],[c_224815,c_378]) ).
tcf(c_224826,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_224815,c_225]) ).
tcf(c_224827,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_224815,c_226]) ).
tcf(c_224828,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_224815,c_176]) ).
tcf(c_224829,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_224815,c_165]) ).
tcf(c_224879,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK59),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_172862,c_206808]) ).
tcf(c_224880,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK59,sK60)),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_197665,c_206808]) ).
tcf(c_224881,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_201027,c_206808]) ).
tcf(c_224882,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_203791,c_206808]) ).
tcf(c_224883,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_206808,c_70]) ).
tcf(c_224884,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_206808,c_190]) ).
tcf(c_224885,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_206808,c_191]) ).
tcf(c_224886,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224879,c_141]) ).
tcf(c_224890,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224882,c_12924]) ).
tcf(c_224894,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224881,c_12926]) ).
tcf(c_224898,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK59,sK60)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224880,c_12927]) ).
tcf(c_224926,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_181154,c_223]) ).
tcf(c_224927,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_181154,c_212]) ).
tcf(c_224928,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_181154,c_206]) ).
tcf(c_225006,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_221969,c_173]) ).
tcf(c_225007,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_221969,c_174]) ).
tcf(c_225008,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_221969,c_63]) ).
tcf(c_225009,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_225008,c_172620,c_183724]) ).
tcf(c_225012,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_225007,c_172620,c_183724]) ).
tcf(c_225016,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_225006,c_172620,c_183724]) ).
tcf(c_225069,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_224890,c_70]) ).
tcf(c_225070,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_224890,c_190]) ).
tcf(c_225071,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_224890,c_191]) ).
tcf(c_225072,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_225070,c_204938]) ).
tcf(c_225078,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_225071,c_204938]) ).
tcf(c_225083,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_225069,c_204938]) ).
tcf(c_225093,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_224894,c_70]) ).
tcf(c_225094,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_224894,c_190]) ).
tcf(c_225095,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_224894,c_191]) ).
tcf(c_225096,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_225094,c_202138]) ).
tcf(c_225102,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_225095,c_202138]) ).
tcf(c_225107,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_225093,c_202138]) ).
tcf(c_225117,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_224898,c_70]) ).
tcf(c_225118,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_224898,c_190]) ).
tcf(c_225119,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_224898,c_191]) ).
tcf(c_225120,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_225118,c_198362]) ).
tcf(c_225126,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_225119,c_198362]) ).
tcf(c_225131,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_225117,c_198362]) ).
tcf(c_225141,plain,
( segmentP(cons(sK57,sK59),sK59)
| ~ ssList(nil)
| ~ ssList(app(cons(sK57,sK59),nil)) ),
inference(superposition,[status(thm)],[c_172862,c_206814]) ).
tcf(c_225142,plain,
( segmentP(cons(sK57,app(sK59,sK60)),sK59)
| ~ ssList(sK60)
| ~ ssList(app(cons(sK57,sK59),sK60)) ),
inference(superposition,[status(thm)],[c_197665,c_206814]) ).
tcf(c_225143,plain,
( segmentP(cons(sK57,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(app(cons(sK57,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_201027,c_206814]) ).
tcf(c_225144,plain,
( segmentP(cons(sK57,app(sK59,sK56)),sK59)
| ~ ssList(sK56)
| ~ ssList(app(cons(sK57,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_203791,c_206814]) ).
tcf(c_225145,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_206814,c_70]) ).
tcf(c_225146,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_206814,c_190]) ).
tcf(c_225147,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_206814,c_191]) ).
tcf(c_225148,plain,
( segmentP(cons(sK57,sK59),sK59)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(light_normalisation,[status(thm)],[c_225141,c_172862]) ).
tcf(c_225149,plain,
segmentP(cons(sK57,sK59),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_225148,c_141,c_206768]) ).
tcf(c_225150,plain,
( segmentP(cons(sK57,app(sK59,sK56)),sK59)
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK59,sK56))) ),
inference(light_normalisation,[status(thm)],[c_225144,c_203791]) ).
tcf(c_225151,plain,
segmentP(cons(sK57,app(sK59,sK56)),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_225150,c_12924,c_204938]) ).
tcf(c_225152,plain,
( segmentP(cons(sK57,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK59,sK59))) ),
inference(light_normalisation,[status(thm)],[c_225143,c_201027]) ).
tcf(c_225153,plain,
segmentP(cons(sK57,app(sK59,sK59)),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_225152,c_12926,c_202138]) ).
tcf(c_225154,plain,
( segmentP(cons(sK57,app(sK59,sK60)),sK59)
| ~ ssList(sK60)
| ~ ssList(cons(sK57,app(sK59,sK60))) ),
inference(light_normalisation,[status(thm)],[c_225142,c_197665]) ).
tcf(c_225155,plain,
segmentP(cons(sK57,app(sK59,sK60)),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_225154,c_12927,c_198362]) ).
tcf(c_225156,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_225146,c_12926]) ).
tcf(c_225162,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_225147,c_12926]) ).
tcf(c_225167,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_225145,c_12926]) ).
tcf(c_225171,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_225151,c_70]) ).
tcf(c_225172,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_225151,c_190]) ).
tcf(c_225173,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_225151,c_191]) ).
tcf(c_225175,plain,
( ( cons(sK57,app(sK59,sK56)) = sK59 )
| ~ segmentP(sK59,cons(sK57,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225173,c_12926,c_204938]) ).
tcf(c_225178,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_225171,c_12926,c_204938]) ).
tcf(c_225179,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_225153,c_70]) ).
tcf(c_225180,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_225153,c_190]) ).
tcf(c_225181,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_225153,c_191]) ).
tcf(c_225183,plain,
( ( cons(sK57,app(sK59,sK59)) = sK59 )
| ~ segmentP(sK59,cons(sK57,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225181,c_12926,c_202138]) ).
tcf(c_225186,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_225179,c_12926,c_202138]) ).
tcf(c_225187,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_225155,c_70]) ).
tcf(c_225188,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_225155,c_190]) ).
tcf(c_225189,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_225155,c_191]) ).
tcf(c_225191,plain,
( ( cons(sK57,app(sK59,sK60)) = sK59 )
| ~ segmentP(sK59,cons(sK57,app(sK59,sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225189,c_12926,c_198362]) ).
tcf(c_225194,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_225187,c_12926,c_198362]) ).
tcf(c_225235,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_181155,c_223]) ).
tcf(c_225236,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_181155,c_212]) ).
tcf(c_225237,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_181155,c_206]) ).
tcf(c_225312,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_225149,c_70]) ).
tcf(c_225313,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK59),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_225149,c_190]) ).
tcf(c_225314,plain,
( ( cons(sK57,sK59) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59))
| ~ segmentP(sK59,cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_225149,c_191]) ).
tcf(c_225315,plain,
~ segmentP(sK59,cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_225314,c_206771,c_12926,c_206768]) ).
tcf(c_225317,plain,
app(app(sK13(cons(sK57,sK59),sK59),sK59),sK14(cons(sK57,sK59),sK59)) = cons(sK57,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_225312,c_12926,c_206768]) ).
tcf(c_225326,plain,
~ segmentP(sK59,cons(sK57,app(sK59,sK59))),
inference(global_subsumption_just,[status(thm)],[c_225183,c_60867]) ).
tcf(c_225340,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK56),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_172863,c_207418]) ).
tcf(c_225341,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK56,sK60)),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_197666,c_207418]) ).
tcf(c_225342,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_201028,c_207418]) ).
tcf(c_225343,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_203792,c_207418]) ).
tcf(c_225344,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_207418,c_70]) ).
tcf(c_225345,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_207418,c_190]) ).
tcf(c_225346,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_207418,c_191]) ).
tcf(c_225347,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225340,c_141]) ).
tcf(c_225351,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225343,c_12924]) ).
tcf(c_225355,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225342,c_12926]) ).
tcf(c_225359,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK56,sK60)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225341,c_12927]) ).
tcf(c_225387,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_225351,c_70]) ).
tcf(c_225388,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_225351,c_190]) ).
tcf(c_225389,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_225351,c_191]) ).
tcf(c_225390,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_225388,c_205422]) ).
tcf(c_225396,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_225389,c_205422]) ).
tcf(c_225401,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_225387,c_205422]) ).
tcf(c_225411,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_225355,c_70]) ).
tcf(c_225412,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_225355,c_190]) ).
tcf(c_225413,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_225355,c_191]) ).
tcf(c_225414,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_225412,c_202532]) ).
tcf(c_225420,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_225413,c_202532]) ).
tcf(c_225425,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_225411,c_202532]) ).
tcf(c_225435,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_225359,c_70]) ).
tcf(c_225436,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_225359,c_190]) ).
tcf(c_225437,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_225359,c_191]) ).
tcf(c_225438,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_225436,c_199136]) ).
tcf(c_225444,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_225437,c_199136]) ).
tcf(c_225449,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_225435,c_199136]) ).
tcf(c_225481,plain,
( segmentP(cons(sK57,sK56),sK56)
| ~ ssList(nil)
| ~ ssList(app(cons(sK57,sK56),nil)) ),
inference(superposition,[status(thm)],[c_172863,c_207424]) ).
tcf(c_225482,plain,
( segmentP(cons(sK57,app(sK56,sK60)),sK56)
| ~ ssList(sK60)
| ~ ssList(app(cons(sK57,sK56),sK60)) ),
inference(superposition,[status(thm)],[c_197666,c_207424]) ).
tcf(c_225483,plain,
( segmentP(cons(sK57,app(sK56,sK59)),sK56)
| ~ ssList(sK59)
| ~ ssList(app(cons(sK57,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_201028,c_207424]) ).
tcf(c_225484,plain,
( segmentP(cons(sK57,app(sK56,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(app(cons(sK57,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_203792,c_207424]) ).
tcf(c_225485,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_207424,c_70]) ).
tcf(c_225486,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_207424,c_190]) ).
tcf(c_225487,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_207424,c_191]) ).
tcf(c_225488,plain,
( segmentP(cons(sK57,sK56),sK56)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(light_normalisation,[status(thm)],[c_225481,c_172863]) ).
tcf(c_225489,plain,
segmentP(cons(sK57,sK56),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_225488,c_141,c_207378]) ).
tcf(c_225490,plain,
( segmentP(cons(sK57,app(sK56,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK56,sK56))) ),
inference(light_normalisation,[status(thm)],[c_225484,c_203792]) ).
tcf(c_225491,plain,
segmentP(cons(sK57,app(sK56,sK56)),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_225490,c_12924,c_205422]) ).
tcf(c_225492,plain,
( segmentP(cons(sK57,app(sK56,sK59)),sK56)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK56,sK59))) ),
inference(light_normalisation,[status(thm)],[c_225483,c_201028]) ).
tcf(c_225493,plain,
segmentP(cons(sK57,app(sK56,sK59)),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_225492,c_12926,c_202532]) ).
tcf(c_225494,plain,
( segmentP(cons(sK57,app(sK56,sK60)),sK56)
| ~ ssList(sK60)
| ~ ssList(cons(sK57,app(sK56,sK60))) ),
inference(light_normalisation,[status(thm)],[c_225482,c_197666]) ).
tcf(c_225495,plain,
segmentP(cons(sK57,app(sK56,sK60)),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_225494,c_12927,c_199136]) ).
tcf(c_225496,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_225486,c_12924]) ).
tcf(c_225502,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_225487,c_12924]) ).
tcf(c_225507,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_225485,c_12924]) ).
tcf(c_225573,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_225491,c_70]) ).
tcf(c_225574,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_225491,c_190]) ).
tcf(c_225575,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_225491,c_191]) ).
tcf(c_225577,plain,
( ( cons(sK57,app(sK56,sK56)) = sK56 )
| ~ segmentP(sK56,cons(sK57,app(sK56,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225575,c_12924,c_205422]) ).
tcf(c_225580,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_225573,c_12924,c_205422]) ).
tcf(c_225587,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_181156,c_223]) ).
tcf(c_225588,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_181156,c_212]) ).
tcf(c_225589,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_181156,c_206]) ).
tcf(c_225699,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_225489,c_70]) ).
tcf(c_225700,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK56),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_225489,c_190]) ).
tcf(c_225701,plain,
( ( cons(sK57,sK56) = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56))
| ~ segmentP(sK56,cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_225489,c_191]) ).
tcf(c_225702,plain,
~ segmentP(sK56,cons(sK57,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_225701,c_207381,c_12924,c_207378]) ).
tcf(c_225704,plain,
app(app(sK13(cons(sK57,sK56),sK56),sK56),sK14(cons(sK57,sK56),sK56)) = cons(sK57,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_225699,c_12924,c_207378]) ).
tcf(c_225711,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_225493,c_70]) ).
tcf(c_225712,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_225493,c_190]) ).
tcf(c_225713,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_225493,c_191]) ).
tcf(c_225715,plain,
( ( cons(sK57,app(sK56,sK59)) = sK56 )
| ~ segmentP(sK56,cons(sK57,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225713,c_12924,c_202532]) ).
tcf(c_225718,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_225711,c_12924,c_202532]) ).
tcf(c_225719,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_225495,c_70]) ).
tcf(c_225720,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_225495,c_190]) ).
tcf(c_225721,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_225495,c_191]) ).
tcf(c_225723,plain,
( ( cons(sK57,app(sK56,sK60)) = sK56 )
| ~ segmentP(sK56,cons(sK57,app(sK56,sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225721,c_12924,c_199136]) ).
tcf(c_225726,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_225719,c_12924,c_199136]) ).
tcf(c_225751,plain,
~ segmentP(sK56,cons(sK57,app(sK56,sK56))),
inference(global_subsumption_just,[status(thm)],[c_225577,c_66844]) ).
tcf(c_225761,plain,
app(sK12(sK56,nil),sK11(sK56,sK12(sK56,nil))) = sK56,
inference(global_subsumption_just,[status(thm)],[c_208084,c_69755]) ).
tcf(c_225763,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_225761,c_67]) ).
tcf(c_225766,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_225761,c_167]) ).
tcf(c_225767,plain,
( ( sK12(sK56,nil) = nil )
| ~ ssList(sK12(sK56,nil))
| ~ ssList(sK11(sK56,sK12(sK56,nil)))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_225761,c_231]) ).
tcf(c_225768,plain,
( ( sK11(sK56,sK12(sK56,nil)) = nil )
| ~ ssList(sK12(sK56,nil))
| ~ ssList(sK11(sK56,sK12(sK56,nil)))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_225761,c_230]) ).
tcf(c_225770,plain,
( rearsegP(sK56,sK11(sK56,sK12(sK56,nil)))
| ~ ssList(sK12(sK56,nil))
| ~ ssList(sK11(sK56,sK12(sK56,nil))) ),
inference(superposition,[status(thm)],[c_225761,c_375]) ).
tcf(c_225772,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_225761,c_225]) ).
tcf(c_225773,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_225761,c_226]) ).
tcf(c_225776,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_225761,c_193]) ).
tcf(c_225777,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_225761,c_186]) ).
tcf(c_225778,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_225761,c_166]) ).
tcf(c_225822,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_225763,c_225761]) ).
tcf(c_225866,plain,
app(sK12(sK59,nil),sK11(sK59,sK12(sK59,nil))) = sK59,
inference(global_subsumption_just,[status(thm)],[c_208099,c_70304]) ).
tcf(c_225868,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_225866,c_67]) ).
tcf(c_225871,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_225866,c_167]) ).
tcf(c_225872,plain,
( ( sK12(sK59,nil) = nil )
| ~ ssList(sK12(sK59,nil))
| ~ ssList(sK11(sK59,sK12(sK59,nil)))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_225866,c_231]) ).
tcf(c_225873,plain,
( ( sK11(sK59,sK12(sK59,nil)) = nil )
| ~ ssList(sK12(sK59,nil))
| ~ ssList(sK11(sK59,sK12(sK59,nil)))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_225866,c_230]) ).
tcf(c_225875,plain,
( rearsegP(sK59,sK11(sK59,sK12(sK59,nil)))
| ~ ssList(sK12(sK59,nil))
| ~ ssList(sK11(sK59,sK12(sK59,nil))) ),
inference(superposition,[status(thm)],[c_225866,c_375]) ).
tcf(c_225877,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_225866,c_225]) ).
tcf(c_225878,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_225866,c_226]) ).
tcf(c_225881,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_225866,c_193]) ).
tcf(c_225882,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_225866,c_186]) ).
tcf(c_225883,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_225866,c_166]) ).
tcf(c_225927,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_225868,c_225866]) ).
tcf(c_225933,plain,
app(sK12(sK60,nil),sK11(sK60,sK12(sK60,nil))) = sK60,
inference(global_subsumption_just,[status(thm)],[c_208111,c_70740]) ).
tcf(c_225935,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_225933,c_67]) ).
tcf(c_225938,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_225933,c_167]) ).
tcf(c_225939,plain,
( ( sK12(sK60,nil) = nil )
| ~ ssList(sK12(sK60,nil))
| ~ ssList(sK11(sK60,sK12(sK60,nil)))
| ( nil != sK60 ) ),
inference(superposition,[status(thm)],[c_225933,c_231]) ).
tcf(c_225940,plain,
( ( sK11(sK60,sK12(sK60,nil)) = nil )
| ~ ssList(sK12(sK60,nil))
| ~ ssList(sK11(sK60,sK12(sK60,nil)))
| ( nil != sK60 ) ),
inference(superposition,[status(thm)],[c_225933,c_230]) ).
tcf(c_225942,plain,
( rearsegP(sK60,sK11(sK60,sK12(sK60,nil)))
| ~ ssList(sK12(sK60,nil))
| ~ ssList(sK11(sK60,sK12(sK60,nil))) ),
inference(superposition,[status(thm)],[c_225933,c_375]) ).
tcf(c_225944,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_225933,c_225]) ).
tcf(c_225945,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_225933,c_226]) ).
tcf(c_225948,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_225933,c_193]) ).
tcf(c_225949,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_225933,c_186]) ).
tcf(c_225950,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_225933,c_166]) ).
tcf(c_225994,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_225935,c_225933]) ).
tcf(c_226024,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_181157,c_223]) ).
tcf(c_226025,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_181157,c_212]) ).
tcf(c_226026,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_181157,c_206]) ).
tcf(c_226140,plain,
( segmentP(sK59,nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_192,c_194312]) ).
tcf(c_226143,plain,
segmentP(sK59,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_226140,c_141]) ).
tcf(c_226144,plain,
( ( app(app(sK13(sK59,nil),nil),sK14(sK59,nil)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_226143,c_70]) ).
tcf(c_226145,plain,
! [X0: $i] :
( segmentP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_226143,c_190]) ).
tcf(c_226146,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ segmentP(nil,sK59) ),
inference(superposition,[status(thm)],[c_226143,c_191]) ).
tcf(c_226150,plain,
( ( nil = sK59 )
| ~ segmentP(nil,sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226146,c_12926,c_141]) ).
tcf(c_226154,plain,
app(app(sK13(sK59,nil),nil),sK14(sK59,nil)) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_226144,c_12926,c_141]) ).
tcf(c_226159,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_226154,c_67]) ).
tcf(c_226162,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_226154,c_167]) ).
tcf(c_226163,plain,
( ( app(sK13(sK59,nil),nil) = nil )
| ~ ssList(sK14(sK59,nil))
| ~ ssList(app(sK13(sK59,nil),nil))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_226154,c_231]) ).
tcf(c_226164,plain,
( ( sK14(sK59,nil) = nil )
| ~ ssList(sK14(sK59,nil))
| ~ ssList(app(sK13(sK59,nil),nil))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_226154,c_230]) ).
tcf(c_226165,plain,
( frontsegP(sK59,app(sK13(sK59,nil),nil))
| ~ ssList(sK14(sK59,nil))
| ~ ssList(app(sK13(sK59,nil),nil)) ),
inference(superposition,[status(thm)],[c_226154,c_378]) ).
tcf(c_226166,plain,
( rearsegP(sK59,sK14(sK59,nil))
| ~ ssList(sK14(sK59,nil))
| ~ ssList(app(sK13(sK59,nil),nil)) ),
inference(superposition,[status(thm)],[c_226154,c_375]) ).
tcf(c_226168,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_226154,c_225]) ).
tcf(c_226170,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_226154,c_226]) ).
tcf(c_226171,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_226154,c_176]) ).
tcf(c_226172,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_226154,c_165]) ).
tcf(c_226173,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_226154,c_193]) ).
tcf(c_226174,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_226154,c_186]) ).
tcf(c_226175,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_226154,c_166]) ).
tcf(c_226176,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_226154,c_193]) ).
tcf(c_226234,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_226159,c_226154]) ).
tcf(c_226472,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_182756]) ).
tcf(c_226473,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_182756]) ).
tcf(c_226474,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_182756]) ).
tcf(c_226475,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_182756]) ).
tcf(c_226476,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_182756]) ).
tcf(c_226477,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_182756]) ).
tcf(c_226478,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_182756]) ).
tcf(c_226488,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_182756]) ).
tcf(c_226489,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_182756]) ).
tcf(c_226490,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_182756]) ).
tcf(c_226491,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_182756]) ).
tcf(c_226492,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_182756]) ).
tcf(c_226493,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_182756]) ).
tcf(c_226494,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_182756]) ).
tcf(c_226495,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_182756]) ).
tcf(c_226496,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_182756]) ).
tcf(c_226497,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_182756]) ).
tcf(c_226498,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_182756]) ).
tcf(c_226499,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_182756]) ).
tcf(c_226500,plain,
! [X0: $i] :
( ( app(app(nil,X0),sK60) = app(nil,app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_141,c_182756]) ).
tcf(c_226501,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_182756]) ).
tcf(c_226502,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_182756]) ).
tcf(c_226503,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_182756]) ).
tcf(c_226504,plain,
! [X0: $i] :
( ( app(app(sK60,X0),sK60) = app(sK60,app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12927,c_182756]) ).
tcf(c_226505,plain,
! [X0: $i] :
( ( app(app(sK59,X0),sK60) = app(sK59,app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12926,c_182756]) ).
tcf(c_226506,plain,
! [X0: $i] :
( ( app(app(sK56,X0),sK60) = app(sK56,app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12924,c_182756]) ).
tcf(c_226507,plain,
! [X0: $i] :
( ( app(app(iPr_def_13,X0),sK60) = app(iPr_def_13,app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_172129,c_182756]) ).
tcf(c_226508,plain,
! [X0: $i] :
( ( app(app(iPr_def_11,X0),sK60) = app(iPr_def_11,app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_172791,c_182756]) ).
tcf(c_226509,plain,
! [X0: $i] :
( ( app(app(iPr_def_12,X0),sK60) = app(iPr_def_12,app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_172792,c_182756]) ).
tcf(c_226510,plain,
! [X0: $i] :
( ( app(app(iPr_def_10,X0),sK60) = app(iPr_def_10,app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_172620,c_182756]) ).
tcf(c_226511,plain,
! [X0: $i] :
( ( app(app(cons(sK57,sK60),X0),sK60) = app(cons(sK57,sK60),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_198667,c_182756]) ).
tcf(c_226512,plain,
! [X0: $i] :
( ( app(app(cons(sK57,sK59),X0),sK60) = app(cons(sK57,sK59),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_206768,c_182756]) ).
tcf(c_226513,plain,
! [X0: $i] :
( ( app(app(cons(sK57,sK56),X0),sK60) = app(cons(sK57,sK56),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_207378,c_182756]) ).
tcf(c_226514,plain,
! [X0: $i] :
( ( nil = sK60 )
| ( app(app(tl(sK60),X0),sK60) = app(tl(sK60),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175037,c_182756]) ).
tcf(c_226515,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( app(app(tl(sK59),X0),sK60) = app(tl(sK59),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175432,c_182756]) ).
tcf(c_226516,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( app(app(tl(sK56),X0),sK60) = app(tl(sK56),app(X0,sK60)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175478,c_182756]) ).
tcf(c_226517,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_181732,c_182756]) ).
tcf(c_226518,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_182529,c_182756]) ).
tcf(c_226519,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_183724,c_182756]) ).
tcf(c_226520,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_198025,c_182756]) ).
tcf(c_226521,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_198362,c_182756]) ).
tcf(c_226522,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_199136,c_182756]) ).
tcf(c_226523,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_201374,c_182756]) ).
tcf(c_226524,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_202138,c_182756]) ).
tcf(c_226525,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_202532,c_182756]) ).
tcf(c_226526,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_204510,c_182756]) ).
tcf(c_226527,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_204938,c_182756]) ).
tcf(c_226528,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_205422,c_182756]) ).
tcf(c_226786,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_226504]) ).
tcf(c_226787,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_226504]) ).
tcf(c_226788,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_226504]) ).
tcf(c_226789,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_226504]) ).
tcf(c_226790,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_226504]) ).
tcf(c_226791,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_226504]) ).
tcf(c_226792,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_226504]) ).
tcf(c_226802,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_226504]) ).
tcf(c_226803,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_226504]) ).
tcf(c_226804,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_226504]) ).
tcf(c_226805,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_226504]) ).
tcf(c_226806,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_226504]) ).
tcf(c_226807,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_226504]) ).
tcf(c_226808,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_226504]) ).
tcf(c_226809,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_226504]) ).
tcf(c_226810,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_226504]) ).
tcf(c_226811,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_226504]) ).
tcf(c_226812,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_226504]) ).
tcf(c_226813,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_226504]) ).
tcf(c_226814,plain,
app(app(sK60,nil),sK60) = app(sK60,app(nil,sK60)),
inference(superposition,[status(thm)],[c_141,c_226504]) ).
tcf(c_226815,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_226504]) ).
tcf(c_226816,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_226504]) ).
tcf(c_226817,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_226504]) ).
tcf(c_226818,plain,
app(app(sK60,sK60),sK60) = app(sK60,app(sK60,sK60)),
inference(superposition,[status(thm)],[c_12927,c_226504]) ).
tcf(c_226819,plain,
app(app(sK60,sK59),sK60) = app(sK60,app(sK59,sK60)),
inference(superposition,[status(thm)],[c_12926,c_226504]) ).
tcf(c_226820,plain,
app(app(sK60,sK56),sK60) = app(sK60,app(sK56,sK60)),
inference(superposition,[status(thm)],[c_12924,c_226504]) ).
tcf(c_226821,plain,
app(app(sK60,iPr_def_13),sK60) = app(sK60,app(iPr_def_13,sK60)),
inference(superposition,[status(thm)],[c_172129,c_226504]) ).
tcf(c_226822,plain,
app(app(sK60,iPr_def_11),sK60) = app(sK60,app(iPr_def_11,sK60)),
inference(superposition,[status(thm)],[c_172791,c_226504]) ).
tcf(c_226823,plain,
app(app(sK60,iPr_def_12),sK60) = app(sK60,app(iPr_def_12,sK60)),
inference(superposition,[status(thm)],[c_172792,c_226504]) ).
tcf(c_226824,plain,
app(app(sK60,iPr_def_10),sK60) = app(sK60,app(iPr_def_10,sK60)),
inference(superposition,[status(thm)],[c_172620,c_226504]) ).
tcf(c_226825,plain,
app(app(sK60,cons(sK57,sK60)),sK60) = app(sK60,app(cons(sK57,sK60),sK60)),
inference(superposition,[status(thm)],[c_198667,c_226504]) ).
tcf(c_226826,plain,
app(app(sK60,cons(sK57,sK59)),sK60) = app(sK60,app(cons(sK57,sK59),sK60)),
inference(superposition,[status(thm)],[c_206768,c_226504]) ).
tcf(c_226827,plain,
app(app(sK60,cons(sK57,sK56)),sK60) = app(sK60,app(cons(sK57,sK56),sK60)),
inference(superposition,[status(thm)],[c_207378,c_226504]) ).
tcf(c_226828,plain,
( ( nil = sK60 )
| ( app(app(sK60,tl(sK60)),sK60) = app(sK60,app(tl(sK60),sK60)) ) ),
inference(superposition,[status(thm)],[c_175037,c_226504]) ).
tcf(c_226829,plain,
( ( nil = sK59 )
| ( app(app(sK60,tl(sK59)),sK60) = app(sK60,app(tl(sK59),sK60)) ) ),
inference(superposition,[status(thm)],[c_175432,c_226504]) ).
tcf(c_226830,plain,
( ( nil = sK56 )
| ( app(app(sK60,tl(sK56)),sK60) = app(sK60,app(tl(sK56),sK60)) ) ),
inference(superposition,[status(thm)],[c_175478,c_226504]) ).
tcf(c_226831,plain,
app(app(sK60,tl(iPr_def_13)),sK60) = app(sK60,app(tl(iPr_def_13),sK60)),
inference(superposition,[status(thm)],[c_181732,c_226504]) ).
tcf(c_226832,plain,
app(app(sK60,tl(iPr_def_11)),sK60) = app(sK60,app(tl(iPr_def_11),sK60)),
inference(superposition,[status(thm)],[c_182529,c_226504]) ).
tcf(c_226833,plain,
app(app(sK60,tl(iPr_def_12)),sK60) = app(sK60,app(tl(iPr_def_12),sK60)),
inference(superposition,[status(thm)],[c_183724,c_226504]) ).
tcf(c_226834,plain,
app(app(sK60,cons(sK57,app(sK60,sK60))),sK60) = app(sK60,app(cons(sK57,app(sK60,sK60)),sK60)),
inference(superposition,[status(thm)],[c_198025,c_226504]) ).
tcf(c_226835,plain,
app(app(sK60,cons(sK57,app(sK59,sK60))),sK60) = app(sK60,app(cons(sK57,app(sK59,sK60)),sK60)),
inference(superposition,[status(thm)],[c_198362,c_226504]) ).
tcf(c_226836,plain,
app(app(sK60,cons(sK57,app(sK56,sK60))),sK60) = app(sK60,app(cons(sK57,app(sK56,sK60)),sK60)),
inference(superposition,[status(thm)],[c_199136,c_226504]) ).
tcf(c_226837,plain,
app(app(sK60,cons(sK57,app(sK60,sK59))),sK60) = app(sK60,app(cons(sK57,app(sK60,sK59)),sK60)),
inference(superposition,[status(thm)],[c_201374,c_226504]) ).
tcf(c_226838,plain,
app(app(sK60,cons(sK57,app(sK59,sK59))),sK60) = app(sK60,app(cons(sK57,app(sK59,sK59)),sK60)),
inference(superposition,[status(thm)],[c_202138,c_226504]) ).
tcf(c_226839,plain,
app(app(sK60,cons(sK57,app(sK56,sK59))),sK60) = app(sK60,app(cons(sK57,app(sK56,sK59)),sK60)),
inference(superposition,[status(thm)],[c_202532,c_226504]) ).
tcf(c_226840,plain,
app(app(sK60,cons(sK57,app(sK60,sK56))),sK60) = app(sK60,app(cons(sK57,app(sK60,sK56)),sK60)),
inference(superposition,[status(thm)],[c_204510,c_226504]) ).
tcf(c_226841,plain,
app(app(sK60,cons(sK57,app(sK59,sK56))),sK60) = app(sK60,app(cons(sK57,app(sK59,sK56)),sK60)),
inference(superposition,[status(thm)],[c_204938,c_226504]) ).
tcf(c_226842,plain,
app(app(sK60,cons(sK57,app(sK56,sK56))),sK60) = app(sK60,app(cons(sK57,app(sK56,sK56)),sK60)),
inference(superposition,[status(thm)],[c_205422,c_226504]) ).
tcf(c_226843,plain,
app(app(sK60,iPr_def_10),sK60) = app(sK60,cons(sK57,sK60)),
inference(light_normalisation,[status(thm)],[c_226824,c_197678]) ).
tcf(c_226844,plain,
app(app(sK60,iPr_def_12),sK60) = app(sK60,iPr_def_13),
inference(light_normalisation,[status(thm)],[c_226823,c_12920]) ).
tcf(c_226846,plain,
app(app(sK60,cons(sK57,sK56)),sK60) = app(sK60,cons(sK57,app(sK56,sK60))),
inference(light_normalisation,[status(thm)],[c_226827,c_197666]) ).
tcf(c_226847,plain,
app(app(sK60,cons(sK57,sK59)),sK60) = app(sK60,cons(sK57,app(sK59,sK60))),
inference(light_normalisation,[status(thm)],[c_226826,c_197665]) ).
tcf(c_226848,plain,
app(app(sK60,cons(sK57,sK60)),sK60) = app(sK60,cons(sK57,app(sK60,sK60))),
inference(light_normalisation,[status(thm)],[c_226825,c_197664]) ).
tcf(c_227220,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_226818,c_67]) ).
tcf(c_227223,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_226818,c_167]) ).
tcf(c_227224,plain,
( ( app(sK60,sK60) = nil )
| ~ ssList(sK60)
| ~ ssList(app(sK60,sK60))
| ( app(sK60,app(sK60,sK60)) != nil ) ),
inference(superposition,[status(thm)],[c_226818,c_231]) ).
tcf(c_227225,plain,
( ( nil = sK60 )
| ~ ssList(sK60)
| ~ ssList(app(sK60,sK60))
| ( app(sK60,app(sK60,sK60)) != nil ) ),
inference(superposition,[status(thm)],[c_226818,c_230]) ).
tcf(c_227226,plain,
( frontsegP(app(sK60,app(sK60,sK60)),app(sK60,sK60))
| ~ ssList(sK60)
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_226818,c_378]) ).
tcf(c_227227,plain,
( rearsegP(app(sK60,app(sK60,sK60)),sK60)
| ~ ssList(sK60)
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_226818,c_375]) ).
tcf(c_227228,plain,
( ssList(app(sK60,app(sK60,sK60)))
| ~ ssList(sK60)
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_226818,c_153]) ).
tcf(c_227229,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_226818,c_225]) ).
tcf(c_227230,plain,
( segmentP(app(sK60,app(sK60,sK60)),sK60)
| ~ ssList(sK60)
| ~ ssList(app(app(sK60,sK60),sK60)) ),
inference(superposition,[status(thm)],[c_226818,c_67]) ).
tcf(c_227231,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_226818,c_226]) ).
tcf(c_227232,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_226818,c_176]) ).
tcf(c_227233,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_226818,c_165]) ).
tcf(c_227234,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_226818,c_193]) ).
tcf(c_227235,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_226818,c_186]) ).
tcf(c_227236,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_226818,c_166]) ).
tcf(c_227237,plain,
! [X0: $i] :
( segmentP(app(sK60,app(sK60,sK60)),X0)
| ~ ssList(sK60)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(superposition,[status(thm)],[c_226818,c_193]) ).
tcf(c_227238,plain,
( ( app(sK60,sK60) = iPr_def_10 )
| ~ ssList(app(sK60,sK60))
| ( app(sK60,app(sK60,sK60)) != cons(sK57,sK60) ) ),
inference(superposition,[status(thm)],[c_226818,c_198703]) ).
tcf(c_227239,plain,
( ( app(sK60,sK60) = iPr_def_12 )
| ~ ssList(app(sK60,sK60))
| ( app(sK60,app(sK60,sK60)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_226818,c_185907]) ).
tcf(c_227240,plain,
( ( app(sK60,sK60) = nil )
| ~ ssList(app(sK60,sK60))
| ( app(sK60,app(sK60,sK60)) != sK60 ) ),
inference(superposition,[status(thm)],[c_226818,c_185899]) ).
tcf(c_227241,plain,
( ssList(app(sK60,app(sK60,sK60)))
| ~ ssList(app(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227228,c_12927]) ).
tcf(c_227244,plain,
( rearsegP(app(sK60,app(sK60,sK60)),sK60)
| ~ ssList(app(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227227,c_12927]) ).
tcf(c_227247,plain,
! [X0: $i] :
( segmentP(app(sK60,app(sK60,sK60)),X0)
| ~ ssList(X0)
| ~ segmentP(sK60,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227237,c_12927]) ).
tcf(c_227251,plain,
( segmentP(app(sK60,app(sK60,sK60)),sK60)
| ~ ssList(sK60)
| ~ ssList(app(sK60,app(sK60,sK60))) ),
inference(light_normalisation,[status(thm)],[c_227230,c_226818]) ).
tcf(c_227252,plain,
( segmentP(app(sK60,app(sK60,sK60)),sK60)
| ~ ssList(app(sK60,app(sK60,sK60))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227251,c_12927]) ).
tcf(c_227255,plain,
( frontsegP(app(sK60,app(sK60,sK60)),app(sK60,sK60))
| ~ ssList(app(sK60,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227226,c_12927]) ).
tcf(c_227264,plain,
( ( nil = sK60 )
| ~ ssList(app(sK60,sK60))
| ( app(sK60,app(sK60,sK60)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227225,c_12927]) ).
tcf(c_227271,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_227236,c_12927]) ).
tcf(c_227276,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_227235,c_12927]) ).
tcf(c_227281,plain,
( ( app(sK60,sK60) = nil )
| ~ ssList(app(sK60,sK60))
| ( app(sK60,app(sK60,sK60)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227224,c_12927]) ).
tcf(c_227285,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_227233,c_12927]) ).
tcf(c_227290,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_227232,c_12927]) ).
tcf(c_227295,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_227234,c_12927]) ).
tcf(c_227301,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_227223,c_12927]) ).
tcf(c_227307,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_227231,c_12927]) ).
tcf(c_227312,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_227229,c_12927]) ).
tcf(c_227317,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_227220,c_226818]) ).
tcf(c_227318,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_227317,c_12927]) ).
tcf(c_227442,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_227241,c_228]) ).
tcf(c_227443,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_227241,c_226504]) ).
tcf(c_227444,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_227241,c_182756]) ).
tcf(c_227445,plain,
( ( hd(app(iPr_def_10,app(sK60,app(sK60,sK60)))) = sK57 )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227241,c_178864]) ).
tcf(c_227446,plain,
( ( tl(cons(sK7,app(sK60,app(sK60,sK60)))) = app(sK60,app(sK60,sK60)) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227241,c_173802]) ).
tcf(c_227447,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_227241,c_197354]) ).
tcf(c_227448,plain,
( ( tl(cons(sK6,app(sK60,app(sK60,sK60)))) = app(sK60,app(sK60,sK60)) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227241,c_173801]) ).
tcf(c_227449,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_227241,c_197353]) ).
tcf(c_227450,plain,
( ( hd(cons(sK7,app(sK60,app(sK60,sK60)))) = sK7 )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227241,c_173681]) ).
tcf(c_227451,plain,
( ( hd(cons(sK6,app(sK60,app(sK60,sK60)))) = sK6 )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227241,c_173680]) ).
tcf(c_227452,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_227241,c_197352]) ).
tcf(c_227453,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_227241,c_181813]) ).
tcf(c_227454,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_227241,c_180595]) ).
tcf(c_227455,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_227241,c_180594]) ).
tcf(c_227456,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_227241,c_180593]) ).
tcf(c_227457,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_227241,c_124]) ).
tcf(c_227458,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_227241,c_116]) ).
tcf(c_227459,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_227241,c_108]) ).
tcf(c_227460,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK60,app(sK60,sK60)))) = hd(sK56) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227241,c_178855]) ).
tcf(c_227461,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK60,app(sK60,sK60)))) = hd(sK59) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227241,c_178854]) ).
tcf(c_227462,plain,
( ( nil = sK60 )
| ( hd(app(sK60,app(sK60,app(sK60,sK60)))) = hd(sK60) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227241,c_178853]) ).
tcf(c_227463,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_227241,c_234]) ).
tcf(c_227464,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_227241,c_132]) ).
tcf(c_227465,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_227241,c_233]) ).
tcf(c_227466,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_227241,c_224]) ).
tcf(c_227467,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_227241,c_147]) ).
tcf(c_227468,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_227241,c_222]) ).
tcf(c_227469,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_227241,c_220]) ).
tcf(c_227470,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_227241,c_173183]) ).
tcf(c_227471,plain,
( ( tl(cons(sK57,app(sK60,app(sK60,sK60)))) = app(sK60,app(sK60,sK60)) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227241,c_173821]) ).
tcf(c_227472,plain,
( ( hd(cons(sK57,app(sK60,app(sK60,sK60)))) = sK57 )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227241,c_173700]) ).
tcf(c_227473,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_227241,c_172633]) ).
tcf(c_227474,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_227241,c_123]) ).
tcf(c_227475,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_227241,c_172683]) ).
tcf(c_227476,plain,
( ( app(app(sK60,app(sK60,sK60)),nil) = app(sK60,app(sK60,sK60)) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227241,c_232]) ).
tcf(c_227477,plain,
( ( app(nil,app(sK60,app(sK60,sK60))) = app(sK60,app(sK60,sK60)) )
| ~ ssList(app(sK60,sK60)) ),
inference(superposition,[status(thm)],[c_227241,c_155]) ).
tcf(c_227972,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_181158,c_223]) ).
tcf(c_227973,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_181158,c_212]) ).
tcf(c_227974,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_181158,c_206]) ).
tcf(c_228063,plain,
( segmentP(sK60,nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_192,c_194365]) ).
tcf(c_228066,plain,
segmentP(sK60,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_228063,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_172446,plain,
! [X0: $i] :
( sP0(X0)
| ( app(nil,sK19(X0)) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_155]) ).
tcf(c_172447,plain,
! [X0: $i] :
( sP0(X0)
| ( app(nil,sK18(X0)) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_155]) ).
tcf(c_172448,plain,
! [X0: $i] :
( sP0(X0)
| ( app(nil,sK17(X0)) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_155]) ).
tcf(c_172449,plain,
! [X0: $i] :
( sP2(X0)
| ( app(nil,sK24(X0)) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_155]) ).
tcf(c_172450,plain,
! [X0: $i] :
( sP2(X0)
| ( app(nil,sK23(X0)) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_155]) ).
tcf(c_172451,plain,
! [X0: $i] :
( sP2(X0)
| ( app(nil,sK22(X0)) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_155]) ).
tcf(c_172452,plain,
! [X0: $i] :
( sP4(X0)
| ( app(nil,sK29(X0)) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_155]) ).
tcf(c_172453,plain,
! [X0: $i] :
( sP4(X0)
| ( app(nil,sK28(X0)) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_155]) ).
tcf(c_172454,plain,
! [X0: $i] :
( sP4(X0)
| ( app(nil,sK27(X0)) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_155]) ).
tcf(c_172531,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK19(X0),nil) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_232]) ).
tcf(c_172532,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK18(X0),nil) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_232]) ).
tcf(c_172533,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK17(X0),nil) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_232]) ).
tcf(c_172534,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK24(X0),nil) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_232]) ).
tcf(c_172535,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK23(X0),nil) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_232]) ).
tcf(c_172536,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK22(X0),nil) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_232]) ).
tcf(c_172537,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK29(X0),nil) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_232]) ).
tcf(c_172538,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK28(X0),nil) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_232]) ).
tcf(c_172539,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK27(X0),nil) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_232]) ).
tcf(c_172667,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_172618]) ).
tcf(c_172668,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_172618]) ).
tcf(c_172669,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_172618]) ).
tcf(c_172670,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_172618]) ).
tcf(c_172671,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_172618]) ).
tcf(c_172672,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_172618]) ).
tcf(c_172836,plain,
! [X0: $i] :
( sP0(X0)
| ( app(cons(sK57,sK19(X0)),nil) = cons(sK57,sK19(X0)) ) ),
inference(superposition,[status(thm)],[c_76,c_172683]) ).
tcf(c_172837,plain,
! [X0: $i] :
( sP0(X0)
| ( app(cons(sK57,sK18(X0)),nil) = cons(sK57,sK18(X0)) ) ),
inference(superposition,[status(thm)],[c_77,c_172683]) ).
tcf(c_172838,plain,
! [X0: $i] :
( sP0(X0)
| ( app(cons(sK57,sK17(X0)),nil) = cons(sK57,sK17(X0)) ) ),
inference(superposition,[status(thm)],[c_78,c_172683]) ).
tcf(c_172839,plain,
! [X0: $i] :
( sP2(X0)
| ( app(cons(sK57,sK24(X0)),nil) = cons(sK57,sK24(X0)) ) ),
inference(superposition,[status(thm)],[c_88,c_172683]) ).
tcf(c_172840,plain,
! [X0: $i] :
( sP2(X0)
| ( app(cons(sK57,sK23(X0)),nil) = cons(sK57,sK23(X0)) ) ),
inference(superposition,[status(thm)],[c_89,c_172683]) ).
tcf(c_172841,plain,
! [X0: $i] :
( sP2(X0)
| ( app(cons(sK57,sK22(X0)),nil) = cons(sK57,sK22(X0)) ) ),
inference(superposition,[status(thm)],[c_90,c_172683]) ).
tcf(c_172842,plain,
! [X0: $i] :
( sP4(X0)
| ( app(cons(sK57,sK29(X0)),nil) = cons(sK57,sK29(X0)) ) ),
inference(superposition,[status(thm)],[c_100,c_172683]) ).
tcf(c_172843,plain,
! [X0: $i] :
( sP4(X0)
| ( app(cons(sK57,sK28(X0)),nil) = cons(sK57,sK28(X0)) ) ),
inference(superposition,[status(thm)],[c_101,c_172683]) ).
tcf(c_172844,plain,
! [X0: $i] :
( sP4(X0)
| ( app(cons(sK57,sK27(X0)),nil) = cons(sK57,sK27(X0)) ) ),
inference(superposition,[status(thm)],[c_102,c_172683]) ).
tcf(c_172967,plain,
! [X0: $i] :
( sP0(X0)
| duplicatefreeP(sK19(X0))
| ( sK40(sK19(X0)) = sK41(sK19(X0)) ) ),
inference(superposition,[status(thm)],[c_76,c_123]) ).
tcf(c_172968,plain,
! [X0: $i] :
( sP0(X0)
| duplicatefreeP(sK18(X0))
| ( sK40(sK18(X0)) = sK41(sK18(X0)) ) ),
inference(superposition,[status(thm)],[c_77,c_123]) ).
tcf(c_172969,plain,
! [X0: $i] :
( sP0(X0)
| duplicatefreeP(sK17(X0))
| ( sK40(sK17(X0)) = sK41(sK17(X0)) ) ),
inference(superposition,[status(thm)],[c_78,c_123]) ).
tcf(c_172970,plain,
! [X0: $i] :
( sP2(X0)
| duplicatefreeP(sK24(X0))
| ( sK40(sK24(X0)) = sK41(sK24(X0)) ) ),
inference(superposition,[status(thm)],[c_88,c_123]) ).
tcf(c_172971,plain,
! [X0: $i] :
( sP2(X0)
| duplicatefreeP(sK23(X0))
| ( sK40(sK23(X0)) = sK41(sK23(X0)) ) ),
inference(superposition,[status(thm)],[c_89,c_123]) ).
tcf(c_172972,plain,
! [X0: $i] :
( sP2(X0)
| duplicatefreeP(sK22(X0))
| ( sK40(sK22(X0)) = sK41(sK22(X0)) ) ),
inference(superposition,[status(thm)],[c_90,c_123]) ).
tcf(c_172973,plain,
! [X0: $i] :
( sP4(X0)
| duplicatefreeP(sK29(X0))
| ( sK40(sK29(X0)) = sK41(sK29(X0)) ) ),
inference(superposition,[status(thm)],[c_100,c_123]) ).
tcf(c_172974,plain,
! [X0: $i] :
( sP4(X0)
| duplicatefreeP(sK28(X0))
| ( sK40(sK28(X0)) = sK41(sK28(X0)) ) ),
inference(superposition,[status(thm)],[c_101,c_123]) ).
tcf(c_172975,plain,
! [X0: $i] :
( sP4(X0)
| duplicatefreeP(sK27(X0))
| ( sK40(sK27(X0)) = sK41(sK27(X0)) ) ),
inference(superposition,[status(thm)],[c_102,c_123]) ).
tcf(c_173166,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_172619]) ).
tcf(c_173167,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_172619]) ).
tcf(c_173168,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_172619]) ).
tcf(c_173169,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_172619]) ).
tcf(c_173170,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_172619]) ).
tcf(c_173171,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_172619]) ).
tcf(c_173360,plain,
! [X0: $i] :
( sP0(X0)
| ( sK19(X0) = nil )
| ( app(sK49(sK19(X0)),nil) = sK49(sK19(X0)) ) ),
inference(superposition,[status(thm)],[c_76,c_172633]) ).
tcf(c_173361,plain,
! [X0: $i] :
( sP0(X0)
| ( sK18(X0) = nil )
| ( app(sK49(sK18(X0)),nil) = sK49(sK18(X0)) ) ),
inference(superposition,[status(thm)],[c_77,c_172633]) ).
tcf(c_173362,plain,
! [X0: $i] :
( sP0(X0)
| ( sK17(X0) = nil )
| ( app(sK49(sK17(X0)),nil) = sK49(sK17(X0)) ) ),
inference(superposition,[status(thm)],[c_78,c_172633]) ).
tcf(c_173363,plain,
! [X0: $i] :
( sP2(X0)
| ( sK24(X0) = nil )
| ( app(sK49(sK24(X0)),nil) = sK49(sK24(X0)) ) ),
inference(superposition,[status(thm)],[c_88,c_172633]) ).
tcf(c_173364,plain,
! [X0: $i] :
( sP2(X0)
| ( sK23(X0) = nil )
| ( app(sK49(sK23(X0)),nil) = sK49(sK23(X0)) ) ),
inference(superposition,[status(thm)],[c_89,c_172633]) ).
tcf(c_173365,plain,
! [X0: $i] :
( sP2(X0)
| ( sK22(X0) = nil )
| ( app(sK49(sK22(X0)),nil) = sK49(sK22(X0)) ) ),
inference(superposition,[status(thm)],[c_90,c_172633]) ).
tcf(c_173366,plain,
! [X0: $i] :
( sP4(X0)
| ( sK29(X0) = nil )
| ( app(sK49(sK29(X0)),nil) = sK49(sK29(X0)) ) ),
inference(superposition,[status(thm)],[c_100,c_172633]) ).
tcf(c_173367,plain,
! [X0: $i] :
( sP4(X0)
| ( sK28(X0) = nil )
| ( app(sK49(sK28(X0)),nil) = sK49(sK28(X0)) ) ),
inference(superposition,[status(thm)],[c_101,c_172633]) ).
tcf(c_173368,plain,
! [X0: $i] :
( sP4(X0)
| ( sK27(X0) = nil )
| ( app(sK49(sK27(X0)),nil) = sK49(sK27(X0)) ) ),
inference(superposition,[status(thm)],[c_102,c_172633]) ).
tcf(c_173683,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_173684,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_173685,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_173686,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_173687,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_173688,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_173804,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_173805,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_173806,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_173807,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_173808,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_173809,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_173921,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK57,sK19(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_76,c_173700]) ).
tcf(c_173922,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK57,sK18(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_77,c_173700]) ).
tcf(c_173923,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK57,sK17(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_78,c_173700]) ).
tcf(c_173924,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK57,sK24(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_88,c_173700]) ).
tcf(c_173925,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK57,sK23(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_89,c_173700]) ).
tcf(c_173926,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK57,sK22(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_90,c_173700]) ).
tcf(c_173927,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK57,sK29(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_100,c_173700]) ).
tcf(c_173928,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK57,sK28(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_101,c_173700]) ).
tcf(c_173929,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK57,sK27(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_102,c_173700]) ).
tcf(c_174068,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK57,sK19(X0))) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_173821]) ).
tcf(c_174069,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK57,sK18(X0))) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_173821]) ).
tcf(c_174070,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK57,sK17(X0))) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_173821]) ).
tcf(c_174071,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK57,sK24(X0))) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_173821]) ).
tcf(c_174072,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK57,sK23(X0))) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_173821]) ).
tcf(c_174073,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK57,sK22(X0))) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_173821]) ).
tcf(c_174074,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK57,sK29(X0))) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_173821]) ).
tcf(c_174075,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK57,sK28(X0))) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_173821]) ).
tcf(c_174076,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK57,sK27(X0))) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_173821]) ).
tcf(c_174224,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_174225,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_174282,plain,
! [X0: $i] :
( sP0(X0)
| ( app(nil,cons(sK57,sK19(X0))) = cons(sK57,sK19(X0)) ) ),
inference(superposition,[status(thm)],[c_76,c_173183]) ).
tcf(c_174283,plain,
! [X0: $i] :
( sP0(X0)
| ( app(nil,cons(sK57,sK18(X0))) = cons(sK57,sK18(X0)) ) ),
inference(superposition,[status(thm)],[c_77,c_173183]) ).
tcf(c_174284,plain,
! [X0: $i] :
( sP0(X0)
| ( app(nil,cons(sK57,sK17(X0))) = cons(sK57,sK17(X0)) ) ),
inference(superposition,[status(thm)],[c_78,c_173183]) ).
tcf(c_174285,plain,
! [X0: $i] :
( sP2(X0)
| ( app(nil,cons(sK57,sK24(X0))) = cons(sK57,sK24(X0)) ) ),
inference(superposition,[status(thm)],[c_88,c_173183]) ).
tcf(c_174286,plain,
! [X0: $i] :
( sP2(X0)
| ( app(nil,cons(sK57,sK23(X0))) = cons(sK57,sK23(X0)) ) ),
inference(superposition,[status(thm)],[c_89,c_173183]) ).
tcf(c_174287,plain,
! [X0: $i] :
( sP2(X0)
| ( app(nil,cons(sK57,sK22(X0))) = cons(sK57,sK22(X0)) ) ),
inference(superposition,[status(thm)],[c_90,c_173183]) ).
tcf(c_174288,plain,
! [X0: $i] :
( sP4(X0)
| ( app(nil,cons(sK57,sK29(X0))) = cons(sK57,sK29(X0)) ) ),
inference(superposition,[status(thm)],[c_100,c_173183]) ).
tcf(c_174289,plain,
! [X0: $i] :
( sP4(X0)
| ( app(nil,cons(sK57,sK28(X0))) = cons(sK57,sK28(X0)) ) ),
inference(superposition,[status(thm)],[c_101,c_173183]) ).
tcf(c_174290,plain,
! [X0: $i] :
( sP4(X0)
| ( app(nil,cons(sK57,sK27(X0))) = cons(sK57,sK27(X0)) ) ),
inference(superposition,[status(thm)],[c_102,c_173183]) ).
tcf(c_174480,plain,
! [X0: $i] :
( sP0(X0)
| ( sK19(X0) = nil )
| ( hd(sK19(X0)) = sK51(sK19(X0)) ) ),
inference(superposition,[status(thm)],[c_76,c_220]) ).
tcf(c_174481,plain,
! [X0: $i] :
( sP0(X0)
| ( sK18(X0) = nil )
| ( hd(sK18(X0)) = sK51(sK18(X0)) ) ),
inference(superposition,[status(thm)],[c_77,c_220]) ).
tcf(c_174482,plain,
! [X0: $i] :
( sP0(X0)
| ( sK17(X0) = nil )
| ( hd(sK17(X0)) = sK51(sK17(X0)) ) ),
inference(superposition,[status(thm)],[c_78,c_220]) ).
tcf(c_174483,plain,
! [X0: $i] :
( sP2(X0)
| ( sK24(X0) = nil )
| ( hd(sK24(X0)) = sK51(sK24(X0)) ) ),
inference(superposition,[status(thm)],[c_88,c_220]) ).
tcf(c_174484,plain,
! [X0: $i] :
( sP2(X0)
| ( sK23(X0) = nil )
| ( hd(sK23(X0)) = sK51(sK23(X0)) ) ),
inference(superposition,[status(thm)],[c_89,c_220]) ).
tcf(c_174485,plain,
! [X0: $i] :
( sP2(X0)
| ( sK22(X0) = nil )
| ( hd(sK22(X0)) = sK51(sK22(X0)) ) ),
inference(superposition,[status(thm)],[c_90,c_220]) ).
tcf(c_174486,plain,
! [X0: $i] :
( sP4(X0)
| ( sK29(X0) = nil )
| ( hd(sK29(X0)) = sK51(sK29(X0)) ) ),
inference(superposition,[status(thm)],[c_100,c_220]) ).
tcf(c_174487,plain,
! [X0: $i] :
( sP4(X0)
| ( sK28(X0) = nil )
| ( hd(sK28(X0)) = sK51(sK28(X0)) ) ),
inference(superposition,[status(thm)],[c_101,c_220]) ).
tcf(c_174488,plain,
! [X0: $i] :
( sP4(X0)
| ( sK27(X0) = nil )
| ( hd(sK27(X0)) = sK51(sK27(X0)) ) ),
inference(superposition,[status(thm)],[c_102,c_220]) ).
tcf(c_174669,plain,
! [X0: $i] :
( sP0(X0)
| ( sK19(X0) = nil )
| ( tl(sK19(X0)) = sK52(sK19(X0)) ) ),
inference(superposition,[status(thm)],[c_76,c_222]) ).
tcf(c_174670,plain,
! [X0: $i] :
( sP0(X0)
| ( sK18(X0) = nil )
| ( tl(sK18(X0)) = sK52(sK18(X0)) ) ),
inference(superposition,[status(thm)],[c_77,c_222]) ).
tcf(c_174671,plain,
! [X0: $i] :
( sP0(X0)
| ( sK17(X0) = nil )
| ( tl(sK17(X0)) = sK52(sK17(X0)) ) ),
inference(superposition,[status(thm)],[c_78,c_222]) ).
tcf(c_174672,plain,
! [X0: $i] :
( sP2(X0)
| ( sK24(X0) = nil )
| ( tl(sK24(X0)) = sK52(sK24(X0)) ) ),
inference(superposition,[status(thm)],[c_88,c_222]) ).
tcf(c_174673,plain,
! [X0: $i] :
( sP2(X0)
| ( sK23(X0) = nil )
| ( tl(sK23(X0)) = sK52(sK23(X0)) ) ),
inference(superposition,[status(thm)],[c_89,c_222]) ).
tcf(c_174674,plain,
! [X0: $i] :
( sP2(X0)
| ( sK22(X0) = nil )
| ( tl(sK22(X0)) = sK52(sK22(X0)) ) ),
inference(superposition,[status(thm)],[c_90,c_222]) ).
tcf(c_174675,plain,
! [X0: $i] :
( sP4(X0)
| ( sK29(X0) = nil )
| ( tl(sK29(X0)) = sK52(sK29(X0)) ) ),
inference(superposition,[status(thm)],[c_100,c_222]) ).
tcf(c_174676,plain,
! [X0: $i] :
( sP4(X0)
| ( sK28(X0) = nil )
| ( tl(sK28(X0)) = sK52(sK28(X0)) ) ),
inference(superposition,[status(thm)],[c_101,c_222]) ).
tcf(c_174677,plain,
! [X0: $i] :
( sP4(X0)
| ( sK27(X0) = nil )
| ( tl(sK27(X0)) = sK52(sK27(X0)) ) ),
inference(superposition,[status(thm)],[c_102,c_222]) ).
tcf(c_175615,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_175616,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_175617,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_175618,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_175619,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_175620,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_175621,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_175622,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_175623,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_175806,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_175807,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_175808,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_175809,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_175810,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_175811,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_175812,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_175813,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_175814,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_176389,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_176390,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_176391,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_176392,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_176393,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_176394,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_177037,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_177038,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_177451,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_177452,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_178828,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_178829,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_178830,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_178831,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_178832,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_178833,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_178834,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_178835,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_178836,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_179287,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_179288,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_179289,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_179290,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_179291,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_179292,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_179293,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_179294,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_179295,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_179951,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_179952,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_180568,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_180569,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_180570,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_180571,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_180572,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_180573,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_180574,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_180575,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_180576,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_181125,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK19(X0))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_76,c_178853]) ).
tcf(c_181126,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK18(X0))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_77,c_178853]) ).
tcf(c_181127,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK17(X0))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_78,c_178853]) ).
tcf(c_181128,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK24(X0))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_88,c_178853]) ).
tcf(c_181129,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK23(X0))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_89,c_178853]) ).
tcf(c_181130,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK22(X0))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_90,c_178853]) ).
tcf(c_181131,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK29(X0))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_100,c_178853]) ).
tcf(c_181132,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK28(X0))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_101,c_178853]) ).
tcf(c_181133,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK60 )
| ( hd(app(sK60,sK27(X0))) = hd(sK60) ) ),
inference(superposition,[status(thm)],[c_102,c_178853]) ).
tcf(c_181367,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK19(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_76,c_178854]) ).
tcf(c_181368,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK18(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_77,c_178854]) ).
tcf(c_181369,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK17(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_78,c_178854]) ).
tcf(c_181370,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK24(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_88,c_178854]) ).
tcf(c_181371,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK23(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_89,c_178854]) ).
tcf(c_181372,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK22(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_90,c_178854]) ).
tcf(c_181373,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK29(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_100,c_178854]) ).
tcf(c_181374,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK28(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_101,c_178854]) ).
tcf(c_181375,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK27(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_102,c_178854]) ).
tcf(c_181758,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_181759,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_181796,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_181797,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_181798,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_181799,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_181800,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_181801,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_182235,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK19(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_76,c_178855]) ).
tcf(c_182236,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK18(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_77,c_178855]) ).
tcf(c_182237,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK17(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_78,c_178855]) ).
tcf(c_182238,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK24(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_88,c_178855]) ).
tcf(c_182239,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK23(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_89,c_178855]) ).
tcf(c_182240,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK22(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_90,c_178855]) ).
tcf(c_182241,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK29(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_100,c_178855]) ).
tcf(c_182242,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK28(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_101,c_178855]) ).
tcf(c_182243,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK27(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_102,c_178855]) ).
tcf(c_182731,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_182732,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_182733,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_182734,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_182735,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_182736,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_182737,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_182738,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_182739,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_183738,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_183739,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_183740,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_183741,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_183742,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_183743,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_183744,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_183745,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_183746,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_184398,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_184399,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_184400,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_184401,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_184402,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_184403,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_184404,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_184405,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_184406,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_184620,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_184621,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_184622,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_184623,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_184624,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_184625,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_184626,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_184627,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_184628,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_189896,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_189897,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_173925,c_93]) ).
tcf(c_189898,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_173924,c_93]) ).
tcf(c_189899,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_172841,c_93]) ).
tcf(c_189900,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_172840,c_93]) ).
tcf(c_189901,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_172839,c_93]) ).
tcf(c_189902,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_174307,c_93]) ).
tcf(c_189903,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_174308,c_93]) ).
tcf(c_189904,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_174309,c_93]) ).
tcf(c_189905,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_174310,c_93]) ).
tcf(c_189906,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_174311,c_93]) ).
tcf(c_189907,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_174312,c_93]) ).
tcf(c_189908,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_174313,c_93]) ).
tcf(c_189909,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_175395,c_93]) ).
tcf(c_189910,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_183203,c_93]) ).
tcf(c_189911,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_183202,c_93]) ).
tcf(c_189912,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_183201,c_93]) ).
tcf(c_189913,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_183200,c_93]) ).
tcf(c_189914,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_189915,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_173631,c_93]) ).
tcf(c_189916,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_173637,c_93]) ).
tcf(c_189917,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_175640,c_93]) ).
tcf(c_189918,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_175641,c_93]) ).
tcf(c_189919,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_175642,c_93]) ).
tcf(c_189920,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_175650,c_93]) ).
tcf(c_189921,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_175831,c_93]) ).
tcf(c_189922,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_175832,c_93]) ).
tcf(c_189923,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_175833,c_93]) ).
tcf(c_189924,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_189925,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_173631,c_93]) ).
tcf(c_189926,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_173637,c_93]) ).
tcf(c_189927,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_175640,c_93]) ).
tcf(c_189928,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_175641,c_93]) ).
tcf(c_189929,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_175642,c_93]) ).
tcf(c_189930,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_175650,c_93]) ).
tcf(c_189931,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_175831,c_93]) ).
tcf(c_189932,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_175832,c_93]) ).
tcf(c_189933,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_175833,c_93]) ).
tcf(c_189934,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_189924,c_141,c_12925]) ).
tcf(c_189941,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_189914,c_141,c_12925]) ).
tcf(c_189948,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_189908,c_172620,c_141,c_12925]) ).
tcf(c_189954,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_189907,c_172792,c_141,c_12925]) ).
tcf(c_189960,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_189906,c_172791,c_141,c_12925]) ).
tcf(c_189966,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_189905,c_172129,c_141,c_12925]) ).
tcf(c_189972,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_189904,c_12924,c_141,c_12925]) ).
tcf(c_189978,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_189903,c_12926,c_141,c_12925]) ).
tcf(c_189984,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_189902,c_12927,c_141,c_12925]) ).
tcf(c_189990,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_189913,c_12925]) ).
tcf(c_189998,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_189912,c_12925]) ).
tcf(c_190006,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_189911,c_12925]) ).
tcf(c_190014,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_189910,c_12925]) ).
tcf(c_190022,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_189926,c_141]) ).
tcf(c_190030,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_189925,c_141]) ).
tcf(c_190038,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_189916,c_141]) ).
tcf(c_190046,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_189915,c_141]) ).
tcf(c_190070,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_189909,c_141,c_12925]) ).
tcf(c_190390,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_190391,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_174307,c_105]) ).
tcf(c_190392,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_174308,c_105]) ).
tcf(c_190393,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_174309,c_105]) ).
tcf(c_190394,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_174310,c_105]) ).
tcf(c_190395,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_174311,c_105]) ).
tcf(c_190396,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_174312,c_105]) ).
tcf(c_190397,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_174313,c_105]) ).
tcf(c_190398,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_175395,c_105]) ).
tcf(c_190399,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_183203,c_105]) ).
tcf(c_190400,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_183202,c_105]) ).
tcf(c_190401,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_183201,c_105]) ).
tcf(c_190402,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_183200,c_105]) ).
tcf(c_190403,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_190404,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_173631,c_105]) ).
tcf(c_190405,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_173637,c_105]) ).
tcf(c_190406,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_175640,c_105]) ).
tcf(c_190407,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_175641,c_105]) ).
tcf(c_190408,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_175642,c_105]) ).
tcf(c_190409,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_175650,c_105]) ).
tcf(c_190410,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_175831,c_105]) ).
tcf(c_190411,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_175832,c_105]) ).
tcf(c_190412,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_175833,c_105]) ).
tcf(c_190413,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_190414,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_173631,c_105]) ).
tcf(c_190415,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_173637,c_105]) ).
tcf(c_190416,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_175640,c_105]) ).
tcf(c_190417,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_175641,c_105]) ).
tcf(c_190418,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_175642,c_105]) ).
tcf(c_190419,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_175650,c_105]) ).
tcf(c_190420,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_175831,c_105]) ).
tcf(c_190421,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_175832,c_105]) ).
tcf(c_190422,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_175833,c_105]) ).
tcf(c_190423,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_190413,c_141,c_12925]) ).
tcf(c_190430,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_190403,c_141,c_12925]) ).
tcf(c_190437,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_190397,c_172620,c_141,c_12925]) ).
tcf(c_190443,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_190396,c_172792,c_141,c_12925]) ).
tcf(c_190449,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_190395,c_172791,c_141,c_12925]) ).
tcf(c_190455,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_190394,c_172129,c_141,c_12925]) ).
tcf(c_190461,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_190393,c_12924,c_141,c_12925]) ).
tcf(c_190467,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_190392,c_12926,c_141,c_12925]) ).
tcf(c_190473,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_190391,c_12927,c_141,c_12925]) ).
tcf(c_190479,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_190402,c_12925]) ).
tcf(c_190487,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_190401,c_12925]) ).
tcf(c_190495,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_190400,c_12925]) ).
tcf(c_190503,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_190399,c_12925]) ).
tcf(c_190511,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_190415,c_141]) ).
tcf(c_190519,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_190414,c_141]) ).
tcf(c_190527,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_190405,c_141]) ).
tcf(c_190535,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_190404,c_141]) ).
tcf(c_190559,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_190398,c_141,c_12925]) ).
tcf(c_191450,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_191451,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_173923,c_81]) ).
tcf(c_191452,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_173922,c_81]) ).
tcf(c_191453,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_173921,c_81]) ).
tcf(c_191454,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_172838,c_81]) ).
tcf(c_191455,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_172837,c_81]) ).
tcf(c_191456,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_172836,c_81]) ).
tcf(c_191457,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_174307,c_81]) ).
tcf(c_191458,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_174308,c_81]) ).
tcf(c_191459,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_174309,c_81]) ).
tcf(c_191460,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_174310,c_81]) ).
tcf(c_191461,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_174311,c_81]) ).
tcf(c_191462,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_174312,c_81]) ).
tcf(c_191463,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_174313,c_81]) ).
tcf(c_191464,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_175395,c_81]) ).
tcf(c_191465,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_183203,c_81]) ).
tcf(c_191466,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_183202,c_81]) ).
tcf(c_191467,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_183201,c_81]) ).
tcf(c_191468,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_183200,c_81]) ).
tcf(c_191469,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_191470,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_173631,c_81]) ).
tcf(c_191471,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_173637,c_81]) ).
tcf(c_191472,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_175640,c_81]) ).
tcf(c_191473,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_175641,c_81]) ).
tcf(c_191474,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_175642,c_81]) ).
tcf(c_191475,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_175650,c_81]) ).
tcf(c_191476,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_175831,c_81]) ).
tcf(c_191477,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_175832,c_81]) ).
tcf(c_191478,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_175833,c_81]) ).
tcf(c_191479,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_191480,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_173631,c_81]) ).
tcf(c_191481,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_173637,c_81]) ).
tcf(c_191482,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_175640,c_81]) ).
tcf(c_191483,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_175641,c_81]) ).
tcf(c_191484,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_175642,c_81]) ).
tcf(c_191485,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_175650,c_81]) ).
tcf(c_191486,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_175831,c_81]) ).
tcf(c_191487,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_175832,c_81]) ).
tcf(c_191488,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_175833,c_81]) ).
tcf(c_191489,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_191479,c_141,c_12925]) ).
tcf(c_191496,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_191469,c_141,c_12925]) ).
tcf(c_191503,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_191463,c_172620,c_141,c_12925]) ).
tcf(c_191509,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_191462,c_172792,c_141,c_12925]) ).
tcf(c_191515,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_191461,c_172791,c_141,c_12925]) ).
tcf(c_191521,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_191460,c_172129,c_141,c_12925]) ).
tcf(c_191527,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_191459,c_12924,c_141,c_12925]) ).
tcf(c_191533,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_191458,c_12926,c_141,c_12925]) ).
tcf(c_191539,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_191457,c_12927,c_141,c_12925]) ).
tcf(c_191545,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_191468,c_12925]) ).
tcf(c_191553,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_191467,c_12925]) ).
tcf(c_191561,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_191466,c_12925]) ).
tcf(c_191569,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_191465,c_12925]) ).
tcf(c_191577,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_191481,c_141]) ).
tcf(c_191585,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_191480,c_141]) ).
tcf(c_191593,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_191471,c_141]) ).
tcf(c_191601,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_191470,c_141]) ).
tcf(c_191625,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_191464,c_141,c_12925]) ).
tcf(c_195511,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_172446,c_81]) ).
tcf(c_195524,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_172447,c_81]) ).
tcf(c_195537,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_172448,c_81]) ).
tcf(c_195602,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_172449,c_93]) ).
tcf(c_195634,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK19(X0)) = tl(app(sK60,sK19(X0))) ) ),
inference(superposition,[status(thm)],[c_76,c_180593]) ).
tcf(c_195635,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK18(X0)) = tl(app(sK60,sK18(X0))) ) ),
inference(superposition,[status(thm)],[c_77,c_180593]) ).
tcf(c_195636,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK17(X0)) = tl(app(sK60,sK17(X0))) ) ),
inference(superposition,[status(thm)],[c_78,c_180593]) ).
tcf(c_195637,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK24(X0)) = tl(app(sK60,sK24(X0))) ) ),
inference(superposition,[status(thm)],[c_88,c_180593]) ).
tcf(c_195638,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK23(X0)) = tl(app(sK60,sK23(X0))) ) ),
inference(superposition,[status(thm)],[c_89,c_180593]) ).
tcf(c_195639,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK22(X0)) = tl(app(sK60,sK22(X0))) ) ),
inference(superposition,[status(thm)],[c_90,c_180593]) ).
tcf(c_195640,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK29(X0)) = tl(app(sK60,sK29(X0))) ) ),
inference(superposition,[status(thm)],[c_100,c_180593]) ).
tcf(c_195641,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK28(X0)) = tl(app(sK60,sK28(X0))) ) ),
inference(superposition,[status(thm)],[c_101,c_180593]) ).
tcf(c_195642,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK60 )
| ( app(tl(sK60),sK27(X0)) = tl(app(sK60,sK27(X0))) ) ),
inference(superposition,[status(thm)],[c_102,c_180593]) ).
tcf(c_195960,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_172450,c_93]) ).
tcf(c_195973,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_172451,c_93]) ).
tcf(c_195986,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_172452,c_105]) ).
tcf(c_195999,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_172453,c_105]) ).
tcf(c_196034,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_172454,c_105]) ).
tcf(c_196047,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_172531,c_81]) ).
tcf(c_196060,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_172532,c_81]) ).
tcf(c_196073,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_172533,c_81]) ).
tcf(c_196095,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK19(X0)) = tl(app(sK59,sK19(X0))) ) ),
inference(superposition,[status(thm)],[c_76,c_180594]) ).
tcf(c_196096,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK18(X0)) = tl(app(sK59,sK18(X0))) ) ),
inference(superposition,[status(thm)],[c_77,c_180594]) ).
tcf(c_196097,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK17(X0)) = tl(app(sK59,sK17(X0))) ) ),
inference(superposition,[status(thm)],[c_78,c_180594]) ).
tcf(c_196098,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK24(X0)) = tl(app(sK59,sK24(X0))) ) ),
inference(superposition,[status(thm)],[c_88,c_180594]) ).
tcf(c_196099,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK23(X0)) = tl(app(sK59,sK23(X0))) ) ),
inference(superposition,[status(thm)],[c_89,c_180594]) ).
tcf(c_196100,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK22(X0)) = tl(app(sK59,sK22(X0))) ) ),
inference(superposition,[status(thm)],[c_90,c_180594]) ).
tcf(c_196101,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK29(X0)) = tl(app(sK59,sK29(X0))) ) ),
inference(superposition,[status(thm)],[c_100,c_180594]) ).
tcf(c_196102,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK28(X0)) = tl(app(sK59,sK28(X0))) ) ),
inference(superposition,[status(thm)],[c_101,c_180594]) ).
tcf(c_196103,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK27(X0)) = tl(app(sK59,sK27(X0))) ) ),
inference(superposition,[status(thm)],[c_102,c_180594]) ).
tcf(c_196468,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK19(X0)) = tl(app(sK56,sK19(X0))) ) ),
inference(superposition,[status(thm)],[c_76,c_180595]) ).
tcf(c_196469,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK18(X0)) = tl(app(sK56,sK18(X0))) ) ),
inference(superposition,[status(thm)],[c_77,c_180595]) ).
tcf(c_196470,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK17(X0)) = tl(app(sK56,sK17(X0))) ) ),
inference(superposition,[status(thm)],[c_78,c_180595]) ).
tcf(c_196471,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK24(X0)) = tl(app(sK56,sK24(X0))) ) ),
inference(superposition,[status(thm)],[c_88,c_180595]) ).
tcf(c_196472,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK23(X0)) = tl(app(sK56,sK23(X0))) ) ),
inference(superposition,[status(thm)],[c_89,c_180595]) ).
tcf(c_196473,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK22(X0)) = tl(app(sK56,sK22(X0))) ) ),
inference(superposition,[status(thm)],[c_90,c_180595]) ).
tcf(c_196474,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK29(X0)) = tl(app(sK56,sK29(X0))) ) ),
inference(superposition,[status(thm)],[c_100,c_180595]) ).
tcf(c_196475,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK28(X0)) = tl(app(sK56,sK28(X0))) ) ),
inference(superposition,[status(thm)],[c_101,c_180595]) ).
tcf(c_196476,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK27(X0)) = tl(app(sK56,sK27(X0))) ) ),
inference(superposition,[status(thm)],[c_102,c_180595]) ).
tcf(c_196836,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_175441,c_81]) ).
tcf(c_196837,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_175441,c_105]) ).
tcf(c_196838,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_175441,c_93]) ).
tcf(c_196897,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_196838,c_141,c_12925]) ).
tcf(c_196905,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_196837,c_141,c_12925]) ).
tcf(c_196919,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_196836,c_141,c_12925]) ).
tcf(c_197059,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_172534,c_93]) ).
tcf(c_197072,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_172535,c_93]) ).
tcf(c_197085,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_172536,c_93]) ).
tcf(c_197098,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_172537,c_105]) ).
tcf(c_197111,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_172538,c_105]) ).
tcf(c_197124,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_172539,c_105]) ).
tcf(c_197327,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_181813]) ).
tcf(c_197328,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_181813]) ).
tcf(c_197329,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_181813]) ).
tcf(c_197330,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_181813]) ).
tcf(c_197331,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_181813]) ).
tcf(c_197332,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_181813]) ).
tcf(c_197333,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_181813]) ).
tcf(c_197334,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_181813]) ).
tcf(c_197335,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_181813]) ).
tcf(c_197639,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK19(X0),sK60)) = app(cons(sK57,sK19(X0)),sK60) ) ),
inference(superposition,[status(thm)],[c_76,c_197352]) ).
tcf(c_197640,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK18(X0),sK60)) = app(cons(sK57,sK18(X0)),sK60) ) ),
inference(superposition,[status(thm)],[c_77,c_197352]) ).
tcf(c_197641,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK17(X0),sK60)) = app(cons(sK57,sK17(X0)),sK60) ) ),
inference(superposition,[status(thm)],[c_78,c_197352]) ).
tcf(c_197642,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK24(X0),sK60)) = app(cons(sK57,sK24(X0)),sK60) ) ),
inference(superposition,[status(thm)],[c_88,c_197352]) ).
tcf(c_197643,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK23(X0),sK60)) = app(cons(sK57,sK23(X0)),sK60) ) ),
inference(superposition,[status(thm)],[c_89,c_197352]) ).
tcf(c_197644,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK22(X0),sK60)) = app(cons(sK57,sK22(X0)),sK60) ) ),
inference(superposition,[status(thm)],[c_90,c_197352]) ).
tcf(c_197645,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK29(X0),sK60)) = app(cons(sK57,sK29(X0)),sK60) ) ),
inference(superposition,[status(thm)],[c_100,c_197352]) ).
tcf(c_197646,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK28(X0),sK60)) = app(cons(sK57,sK28(X0)),sK60) ) ),
inference(superposition,[status(thm)],[c_101,c_197352]) ).
tcf(c_197647,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK27(X0),sK60)) = app(cons(sK57,sK27(X0)),sK60) ) ),
inference(superposition,[status(thm)],[c_102,c_197352]) ).
tcf(c_199438,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK6,sK19(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_76,c_173680]) ).
tcf(c_199439,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK6,sK18(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_77,c_173680]) ).
tcf(c_199440,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK6,sK17(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_78,c_173680]) ).
tcf(c_199441,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK6,sK24(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_88,c_173680]) ).
tcf(c_199442,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK6,sK23(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_89,c_173680]) ).
tcf(c_199443,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK6,sK22(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_90,c_173680]) ).
tcf(c_199444,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK6,sK29(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_100,c_173680]) ).
tcf(c_199445,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK6,sK28(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_101,c_173680]) ).
tcf(c_199446,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK6,sK27(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_102,c_173680]) ).
tcf(c_200443,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK7,sK19(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_76,c_173681]) ).
tcf(c_200444,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK7,sK18(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_77,c_173681]) ).
tcf(c_200445,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK7,sK17(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_78,c_173681]) ).
tcf(c_200446,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK7,sK24(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_88,c_173681]) ).
tcf(c_200447,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK7,sK23(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_89,c_173681]) ).
tcf(c_200448,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK7,sK22(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_90,c_173681]) ).
tcf(c_200449,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK7,sK29(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_100,c_173681]) ).
tcf(c_200450,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK7,sK28(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_101,c_173681]) ).
tcf(c_200451,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK7,sK27(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_102,c_173681]) ).
tcf(c_201001,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK19(X0),sK59)) = app(cons(sK57,sK19(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_76,c_197353]) ).
tcf(c_201002,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK18(X0),sK59)) = app(cons(sK57,sK18(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_77,c_197353]) ).
tcf(c_201003,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK17(X0),sK59)) = app(cons(sK57,sK17(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_78,c_197353]) ).
tcf(c_201004,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK24(X0),sK59)) = app(cons(sK57,sK24(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_88,c_197353]) ).
tcf(c_201005,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK23(X0),sK59)) = app(cons(sK57,sK23(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_89,c_197353]) ).
tcf(c_201006,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK22(X0),sK59)) = app(cons(sK57,sK22(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_90,c_197353]) ).
tcf(c_201007,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK29(X0),sK59)) = app(cons(sK57,sK29(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_100,c_197353]) ).
tcf(c_201008,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK28(X0),sK59)) = app(cons(sK57,sK28(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_101,c_197353]) ).
tcf(c_201009,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK27(X0),sK59)) = app(cons(sK57,sK27(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_102,c_197353]) ).
tcf(c_203135,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK6,sK19(X0))) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_173801]) ).
tcf(c_203136,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK6,sK18(X0))) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_173801]) ).
tcf(c_203137,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK6,sK17(X0))) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_173801]) ).
tcf(c_203138,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK6,sK24(X0))) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_173801]) ).
tcf(c_203139,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK6,sK23(X0))) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_173801]) ).
tcf(c_203140,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK6,sK22(X0))) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_173801]) ).
tcf(c_203141,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK6,sK29(X0))) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_173801]) ).
tcf(c_203142,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK6,sK28(X0))) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_173801]) ).
tcf(c_203143,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK6,sK27(X0))) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_173801]) ).
tcf(c_203765,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK19(X0),sK56)) = app(cons(sK57,sK19(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_76,c_197354]) ).
tcf(c_203766,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK18(X0),sK56)) = app(cons(sK57,sK18(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_77,c_197354]) ).
tcf(c_203767,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK17(X0),sK56)) = app(cons(sK57,sK17(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_78,c_197354]) ).
tcf(c_203768,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK24(X0),sK56)) = app(cons(sK57,sK24(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_88,c_197354]) ).
tcf(c_203769,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK23(X0),sK56)) = app(cons(sK57,sK23(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_89,c_197354]) ).
tcf(c_203770,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK22(X0),sK56)) = app(cons(sK57,sK22(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_90,c_197354]) ).
tcf(c_203771,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK29(X0),sK56)) = app(cons(sK57,sK29(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_100,c_197354]) ).
tcf(c_203772,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK28(X0),sK56)) = app(cons(sK57,sK28(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_101,c_197354]) ).
tcf(c_203773,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK27(X0),sK56)) = app(cons(sK57,sK27(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_102,c_197354]) ).
tcf(c_204276,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK7,sK19(X0))) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_173802]) ).
tcf(c_204277,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK7,sK18(X0))) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_173802]) ).
tcf(c_204278,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK7,sK17(X0))) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_173802]) ).
tcf(c_204279,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK7,sK24(X0))) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_173802]) ).
tcf(c_204280,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK7,sK23(X0))) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_173802]) ).
tcf(c_204281,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK7,sK22(X0))) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_173802]) ).
tcf(c_204282,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK7,sK29(X0))) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_173802]) ).
tcf(c_204283,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK7,sK28(X0))) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_173802]) ).
tcf(c_204284,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK7,sK27(X0))) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_173802]) ).
tcf(c_205091,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_173926,c_93]) ).
tcf(c_205116,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_173927,c_105]) ).
tcf(c_205129,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_173928,c_105]) ).
tcf(c_205142,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_173929,c_105]) ).
tcf(c_206438,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_175487,c_81]) ).
tcf(c_206439,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_175487,c_105]) ).
tcf(c_206440,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_175487,c_93]) ).
tcf(c_206499,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_206440,c_141,c_12925]) ).
tcf(c_206507,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_206439,c_141,c_12925]) ).
tcf(c_206521,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_206438,c_141,c_12925]) ).
tcf(c_210110,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(app(iPr_def_10,sK19(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_76,c_178864]) ).
tcf(c_210111,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(app(iPr_def_10,sK18(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_77,c_178864]) ).
tcf(c_210112,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(app(iPr_def_10,sK17(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_78,c_178864]) ).
tcf(c_210113,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(app(iPr_def_10,sK24(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_88,c_178864]) ).
tcf(c_210114,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(app(iPr_def_10,sK23(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_89,c_178864]) ).
tcf(c_210115,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(app(iPr_def_10,sK22(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_90,c_178864]) ).
tcf(c_210116,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(app(iPr_def_10,sK29(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_100,c_178864]) ).
tcf(c_210117,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(app(iPr_def_10,sK28(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_101,c_178864]) ).
tcf(c_210118,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(app(iPr_def_10,sK27(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_102,c_178864]) ).
tcf(c_211877,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_211871,c_81]) ).
tcf(c_211878,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_211871,c_105]) ).
tcf(c_211879,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_211871,c_93]) ).
tcf(c_211883,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_211871,c_81]) ).
tcf(c_211884,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_211871,c_105]) ).
tcf(c_211885,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_211871,c_93]) ).
tcf(c_212858,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_212852,c_81]) ).
tcf(c_212859,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_212852,c_105]) ).
tcf(c_212860,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_212852,c_93]) ).
tcf(c_212864,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_212852,c_81]) ).
tcf(c_212865,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_212852,c_105]) ).
tcf(c_212866,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_212852,c_93]) ).
tcf(c_213599,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_213593,c_81]) ).
tcf(c_213600,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_213593,c_105]) ).
tcf(c_213601,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_213593,c_93]) ).
tcf(c_213605,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_213593,c_81]) ).
tcf(c_213606,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_213593,c_105]) ).
tcf(c_213607,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_213593,c_93]) ).
tcf(c_214624,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_175647,c_81]) ).
tcf(c_214625,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_175647,c_105]) ).
tcf(c_214626,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_175647,c_93]) ).
tcf(c_214630,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_175647,c_81]) ).
tcf(c_214631,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_175647,c_105]) ).
tcf(c_214632,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_175647,c_93]) ).
tcf(c_215803,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_175648,c_81]) ).
tcf(c_215804,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_175648,c_105]) ).
tcf(c_215805,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_175648,c_93]) ).
tcf(c_215809,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_175648,c_81]) ).
tcf(c_215810,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_175648,c_105]) ).
tcf(c_215811,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_175648,c_93]) ).
tcf(c_216788,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_175649,c_81]) ).
tcf(c_216789,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_175649,c_105]) ).
tcf(c_216790,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_175649,c_93]) ).
tcf(c_216794,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_175649,c_81]) ).
tcf(c_216795,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_175649,c_105]) ).
tcf(c_216796,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_175649,c_93]) ).
tcf(c_217890,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_217884,c_81]) ).
tcf(c_217891,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_217884,c_105]) ).
tcf(c_217892,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_217884,c_93]) ).
tcf(c_217896,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_217884,c_81]) ).
tcf(c_217897,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_217884,c_105]) ).
tcf(c_217898,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_217884,c_93]) ).
tcf(c_218006,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_217898,c_181732,c_179265]) ).
tcf(c_218013,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_217897,c_181732,c_179265]) ).
tcf(c_218020,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_217892,c_181732,c_179265]) ).
tcf(c_218027,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_217891,c_181732,c_179265]) ).
tcf(c_218034,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_217896,c_181732,c_179265]) ).
tcf(c_218041,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_217890,c_181732,c_179265]) ).
tcf(c_218722,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_218716,c_81]) ).
tcf(c_218723,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_218716,c_105]) ).
tcf(c_218724,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_218716,c_93]) ).
tcf(c_218728,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_218716,c_81]) ).
tcf(c_218729,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_218716,c_105]) ).
tcf(c_218730,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_218716,c_93]) ).
tcf(c_218842,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_218730,c_182529,c_179843]) ).
tcf(c_218849,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_218729,c_182529,c_179843]) ).
tcf(c_218856,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_218724,c_182529,c_179843]) ).
tcf(c_218863,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_218723,c_182529,c_179843]) ).
tcf(c_218870,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_218728,c_182529,c_179843]) ).
tcf(c_218877,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_218722,c_182529,c_179843]) ).
tcf(c_219625,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_219619,c_81]) ).
tcf(c_219626,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_219619,c_105]) ).
tcf(c_219627,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_219619,c_93]) ).
tcf(c_219631,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_219619,c_81]) ).
tcf(c_219632,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_219619,c_105]) ).
tcf(c_219633,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_219619,c_93]) ).
tcf(c_219745,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_219633,c_183724,c_180212]) ).
tcf(c_219752,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_219632,c_183724,c_180212]) ).
tcf(c_219759,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_219627,c_183724,c_180212]) ).
tcf(c_219766,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_219626,c_183724,c_180212]) ).
tcf(c_219773,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_219631,c_183724,c_180212]) ).
tcf(c_219780,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_219625,c_183724,c_180212]) ).
tcf(c_221448,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_175838,c_81]) ).
tcf(c_221449,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_175838,c_105]) ).
tcf(c_221450,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_175838,c_93]) ).
tcf(c_221454,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_175838,c_81]) ).
tcf(c_221455,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_175838,c_105]) ).
tcf(c_221456,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_175838,c_93]) ).
tcf(c_222292,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_175839,c_81]) ).
tcf(c_222293,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_175839,c_105]) ).
tcf(c_222294,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_175839,c_93]) ).
tcf(c_222298,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_175839,c_81]) ).
tcf(c_222299,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_175839,c_105]) ).
tcf(c_222300,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_175839,c_93]) ).
tcf(c_223257,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_175840,c_81]) ).
tcf(c_223258,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_175840,c_105]) ).
tcf(c_223259,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_175840,c_93]) ).
tcf(c_223263,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_175840,c_81]) ).
tcf(c_223264,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_175840,c_105]) ).
tcf(c_223265,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_175840,c_93]) ).
tcf(c_223705,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_199438,c_81]) ).
tcf(c_224108,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_199439,c_81]) ).
tcf(c_224121,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_199440,c_81]) ).
tcf(c_224134,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_199441,c_93]) ).
tcf(c_224147,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_199442,c_93]) ).
tcf(c_224967,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_199443,c_93]) ).
tcf(c_224980,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_199444,c_105]) ).
tcf(c_224993,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_199445,c_105]) ).
tcf(c_225264,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_199446,c_105]) ).
tcf(c_225277,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_200443,c_81]) ).
tcf(c_225290,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_200444,c_81]) ).
tcf(c_225303,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_200445,c_81]) ).
tcf(c_225651,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_200446,c_93]) ).
tcf(c_225664,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_200447,c_93]) ).
tcf(c_225677,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_200448,c_93]) ).
tcf(c_225690,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_200449,c_105]) ).
tcf(c_226078,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_200450,c_105]) ).
tcf(c_226091,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_200451,c_105]) ).
tcf(c_226104,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_210110,c_81]) ).
tcf(c_226117,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_210111,c_81]) ).
tcf(c_226479,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_182756]) ).
tcf(c_226480,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_182756]) ).
tcf(c_226481,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_182756]) ).
tcf(c_226482,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_182756]) ).
tcf(c_226483,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_182756]) ).
tcf(c_226484,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_182756]) ).
tcf(c_226485,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_182756]) ).
tcf(c_226486,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_182756]) ).
tcf(c_226487,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_182756]) ).
tcf(c_226793,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK60,sK19(X0)),sK60) = app(sK60,app(sK19(X0),sK60)) ) ),
inference(superposition,[status(thm)],[c_76,c_226504]) ).
tcf(c_226794,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK60,sK18(X0)),sK60) = app(sK60,app(sK18(X0),sK60)) ) ),
inference(superposition,[status(thm)],[c_77,c_226504]) ).
tcf(c_226795,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK60,sK17(X0)),sK60) = app(sK60,app(sK17(X0),sK60)) ) ),
inference(superposition,[status(thm)],[c_78,c_226504]) ).
tcf(c_226796,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK60,sK24(X0)),sK60) = app(sK60,app(sK24(X0),sK60)) ) ),
inference(superposition,[status(thm)],[c_88,c_226504]) ).
tcf(c_226797,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK60,sK23(X0)),sK60) = app(sK60,app(sK23(X0),sK60)) ) ),
inference(superposition,[status(thm)],[c_89,c_226504]) ).
tcf(c_226798,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK60,sK22(X0)),sK60) = app(sK60,app(sK22(X0),sK60)) ) ),
inference(superposition,[status(thm)],[c_90,c_226504]) ).
tcf(c_226799,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK60,sK29(X0)),sK60) = app(sK60,app(sK29(X0),sK60)) ) ),
inference(superposition,[status(thm)],[c_100,c_226504]) ).
tcf(c_226800,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK60,sK28(X0)),sK60) = app(sK60,app(sK28(X0),sK60)) ) ),
inference(superposition,[status(thm)],[c_101,c_226504]) ).
tcf(c_226801,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK60,sK27(X0)),sK60) = app(sK60,app(sK27(X0),sK60)) ) ),
inference(superposition,[status(thm)],[c_102,c_226504]) ).
tcf(c_228004,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_210112,c_81]) ).
tcf(c_228017,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_210113,c_93]) ).
tcf(c_228035,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_210114,c_93]) ).
tcf(c_228048,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_210115,c_93]) ).
tcf(c_228320,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_225577,c_225183,c_216509,c_210930,c_210924,c_210915,c_210911,c_210907,c_210896,c_210895,c_210833,c_210827,c_210818,c_210814,c_210810,c_210799,c_210798,c_210095,c_210092,c_210091,c_210090,c_210087,c_209087,c_209081,c_209072,c_209068,c_209064,c_209053,c_209052,c_208124,c_208121,c_208120,c_208119,c_208116,c_207328,c_207325,c_207324,c_207323,c_207320,c_206883,c_206700,c_206697,c_206696,c_206187,c_206184,c_205930,c_205927,c_205918,c_205915,c_205869,c_205866,c_205408,c_205402,c_205397,c_205391,c_205385,c_205380,c_205375,c_205371,c_205366,c_205361,c_205357,c_205351,c_205348,c_205345,c_205217,c_205180,c_204857,c_204851,c_204846,c_204840,c_204834,c_204829,c_204824,c_204820,c_204815,c_204810,c_204806,c_204800,c_204797,c_204794,c_203683,c_203680,c_203551,c_203548,c_202124,c_202118,c_202113,c_202107,c_202101,c_202096,c_202091,c_202087,c_202082,c_202077,c_202073,c_202067,c_202064,c_202061,c_200856,c_200853,c_200122,c_200119,c_198609,c_198606,c_198605,c_198604,c_198601,c_198597,c_198594,c_198593,c_198592,c_198589,c_198585,c_198582,c_198581,c_198580,c_198577,c_198573,c_198570,c_198569,c_198568,c_198565,c_197179,c_197176,c_197175,c_197174,c_197171,c_197141,c_197138,c_197137,c_197136,c_197133,c_190782,c_189900,c_189899,c_195487,c_216510,c_195482,c_195619,c_195614,c_195492,c_206695,c_206692,c_177762,c_195390,c_195467,c_195394,c_195392,c_195378,c_195376,c_195374,c_195115,c_195114,c_195113,c_195112,c_185275,c_185274,c_187403,c_181057,c_179820,c_185257,c_185252,c_185247,c_183716,c_179246,c_183711,c_228048,c_228035,c_228017,c_228004,c_226117,c_226104,c_226091,c_226078,c_225690,c_182521,c_227477,c_227476,c_227475,c_227474,c_227473,c_227472,c_227471,c_227470,c_227469,c_227468,c_227467,c_227466,c_227465,c_227464,c_227463,c_227462,c_227461,c_227460,c_227459,c_227458,c_227457,c_227456,c_227455,c_227454,c_227453,c_227452,c_227449,c_227451,c_227450,c_227447,c_227448,c_227446,c_227445,c_227444,c_227443,c_227442,c_225677,c_225664,c_225651,c_225303,c_225290,c_225277,c_225264,c_224993,c_227318,c_227317,c_227312,c_227307,c_227301,c_227295,c_227290,c_227285,c_227281,c_227276,c_227271,c_227264,c_227255,c_227252,c_227251,c_227247,c_227244,c_227241,c_227240,c_227239,c_227238,c_227237,c_227236,c_227235,c_227234,c_227233,c_227232,c_227230,c_227228,c_227227,c_227226,c_227225,c_227224,c_227223,c_227229,c_227231,c_227220,c_226848,c_226847,c_226846,c_226844,c_226843,c_226842,c_226841,c_226840,c_226839,c_226838,c_226837,c_226836,c_226835,c_226834,c_226833,c_226832,c_226831,c_226830,c_226829,c_226828,c_226827,c_226826,c_226825,c_226824,c_226823,c_226822,c_226821,c_226820,c_226819,c_226818,c_226817,c_226816,c_226815,c_226814,c_226813,c_226812,c_226811,c_226810,c_226809,c_226808,c_226807,c_226806,c_226805,c_226804,c_226803,c_226802,c_226801,c_226800,c_226799,c_226798,c_226797,c_226796,c_226795,c_226794,c_226793,c_226792,c_226791,c_226790,c_226789,c_226788,c_226787,c_226786,c_226528,c_226527,c_226526,c_226525,c_226524,c_226523,c_226522,c_226521,c_226520,c_226519,c_226518,c_226517,c_226516,c_226515,c_226514,c_226513,c_226512,c_226511,c_226510,c_226509,c_226508,c_226507,c_226506,c_226505,c_226504,c_226503,c_226502,c_226501,c_226500,c_226499,c_226498,c_226497,c_226496,c_226495,c_226494,c_226493,c_226492,c_226491,c_226490,c_226489,c_226488,c_226487,c_226486,c_226485,c_226484,c_226483,c_226482,c_226481,c_226480,c_226479,c_226478,c_226477,c_226476,c_226475,c_226474,c_226473,c_226472,c_224980,c_224967,c_224147,c_224134,c_177918,c_224121,c_224108,c_225994,c_225950,c_225949,c_225948,c_225942,c_225940,c_225939,c_225938,c_225944,c_225945,c_225935,c_225933,c_225927,c_225883,c_225882,c_225881,c_225875,c_225873,c_225872,c_225871,c_225877,c_225878,c_225868,c_225866,c_226234,c_226176,c_226175,c_226174,c_226173,c_226172,c_226171,c_226166,c_226165,c_226164,c_226163,c_226162,c_226168,c_226170,c_226159,c_217471,c_217413,c_217412,c_217411,c_217410,c_217409,c_217408,c_217403,c_217402,c_217401,c_217400,c_217399,c_217405,c_217407,c_217396,c_228066,c_228063,c_226154,c_226150,c_226146,c_226145,c_226144,c_226143,c_226140,c_223705,c_217391,c_217387,c_217386,c_217385,c_217384,c_225822,c_225778,c_225777,c_225776,c_225770,c_225768,c_225767,c_225766,c_225772,c_225773,c_225763,c_225761,c_224829,c_224828,c_224823,c_224822,c_224821,c_224820,c_224826,c_224827,c_224817,c_224815,c_224572,c_224571,c_224566,c_224565,c_224564,c_224563,c_224569,c_224570,c_224560,c_224558,c_224516,c_224515,c_224510,c_224509,c_224508,c_224507,c_224513,c_224514,c_224504,c_224502,c_217383,c_217380,c_216536,c_216530,c_216524,c_216520,c_216519,c_216518,c_216517,c_222996,c_222995,c_222989,c_222984,c_222979,c_222973,c_222968,c_222963,c_222959,c_222946,c_222945,c_222944,c_222943,c_222941,c_222939,c_222938,c_222937,c_222934,c_222932,c_222930,c_222936,c_222940,c_222927,c_222886,c_222885,c_222880,c_222875,c_222869,c_222863,c_222858,c_222854,c_222841,c_222840,c_222839,c_222838,c_222836,c_222835,c_222834,c_222833,c_222828,c_222826,c_222825,c_222831,c_222832,c_222822,c_216592,c_216591,c_216590,c_216563,c_216562,c_216561,c_215751,c_215750,c_215744,c_215739,c_215734,c_215728,c_215723,c_215718,c_215714,c_215709,c_215704,c_215697,c_215693,c_215690,c_215679,c_215676,c_215675,c_215674,c_215673,c_215672,c_215671,c_215670,c_215669,c_215668,c_215667,c_215664,c_215663,c_215662,c_215661,c_215660,c_215659,c_215665,c_215666,c_215656,c_215654,c_219603,c_219602,c_219601,c_221837,c_221836,c_221830,c_221825,c_221820,c_221814,c_221809,c_221804,c_221800,c_221787,c_221786,c_221785,c_221784,c_221782,c_221780,c_221779,c_221778,c_221775,c_221773,c_221771,c_221777,c_221781,c_221768,c_220135,c_220134,c_220129,c_220124,c_220118,c_220112,c_220107,c_220103,c_220090,c_220089,c_220088,c_220087,c_220085,c_220084,c_220083,c_220082,c_220077,c_220075,c_220074,c_220080,c_220081,c_220071,c_227974,c_227973,c_227972,c_219574,c_219573,c_219572,c_218663,c_218662,c_218656,c_218651,c_218646,c_218640,c_218635,c_218630,c_218626,c_218621,c_218616,c_218609,c_218605,c_218602,c_218591,c_218588,c_218587,c_218586,c_218585,c_218584,c_218583,c_218582,c_218581,c_218580,c_218579,c_218576,c_218575,c_218574,c_218573,c_218572,c_218571,c_218577,c_218578,c_218568,c_218566,c_224486,c_224485,c_224484,c_215355,c_215354,c_215353,c_215331,c_215330,c_215329,c_219208,c_219207,c_219201,c_219196,c_219191,c_219185,c_219180,c_219175,c_219171,c_219158,c_219157,c_219156,c_219155,c_219153,c_219151,c_219150,c_219149,c_219146,c_219144,c_219142,c_219148,c_219152,c_219139,c_217311,c_217310,c_217305,c_217300,c_217294,c_217288,c_217283,c_217279,c_217266,c_217265,c_217264,c_217263,c_217261,c_217260,c_217259,c_217258,c_217253,c_217251,c_217250,c_217256,c_217257,c_217247,c_226026,c_226025,c_226024,c_224011,c_224010,c_224009,c_222277,c_222276,c_222270,c_222265,c_222260,c_222254,c_222249,c_222244,c_222240,c_222235,c_222230,c_222223,c_222219,c_222216,c_222205,c_222202,c_222201,c_222200,c_222199,c_222198,c_222197,c_222196,c_222195,c_222194,c_222193,c_222190,c_222189,c_222188,c_222187,c_222186,c_222185,c_222191,c_222192,c_222182,c_222180,c_222164,c_222163,c_222162,c_222135,c_222134,c_222133,c_215307,c_215306,c_215305,c_225016,c_225012,c_225009,c_225008,c_225007,c_225006,c_224257,c_224253,c_224250,c_224249,c_224248,c_224247,c_216479,c_216476,c_216475,c_216474,c_216473,c_225589,c_225588,c_225587,c_224238,c_224234,c_224231,c_224228,c_224227,c_224226,c_224189,c_224186,c_224183,c_224181,c_224180,c_224179,c_224170,c_224166,c_224163,c_224162,c_224161,c_224160,c_223823,c_223819,c_223816,c_223812,c_223811,c_223810,c_216464,c_216461,c_216456,c_216455,c_216454,c_216453,c_216452,c_216381,c_216378,c_216375,c_216374,c_216373,c_216372,c_225237,c_225236,c_225235,c_221315,c_221314,c_221308,c_221303,c_221298,c_221292,c_221287,c_221282,c_221278,c_221273,c_221268,c_221258,c_221254,c_221251,c_221240,c_221237,c_221236,c_221235,c_221234,c_221233,c_221232,c_221231,c_221230,c_221229,c_221228,c_221227,c_221224,c_221223,c_221222,c_221221,c_221220,c_221219,c_221225,c_221226,c_221216,c_221214,c_223801,c_223797,c_223794,c_223793,c_223792,c_223791,c_225726,c_225723,c_225721,c_225720,c_225719,c_225704,c_225702,c_225701,c_225700,c_225699,c_216363,c_216360,c_216359,c_216358,c_216357,c_215212,c_215209,c_215208,c_215207,c_215206,c_215152,c_215149,c_215144,c_215143,c_215142,c_215141,c_215140,c_224928,c_224927,c_224926,c_225718,c_225715,c_225713,c_225712,c_225711,c_225580,c_225751,c_225575,c_225574,c_225573,c_225507,c_225502,c_225496,c_225495,c_225494,c_225493,c_225492,c_225491,c_225490,c_225489,c_225488,c_225487,c_225486,c_225485,c_225484,c_225483,c_225482,c_225481,c_225449,c_225444,c_225438,c_225437,c_225436,c_225435,c_225425,c_225420,c_225414,c_225413,c_225412,c_225411,c_225401,c_225396,c_225390,c_225389,c_225388,c_225387,c_225359,c_225355,c_225351,c_225347,c_225346,c_225345,c_225344,c_225343,c_225342,c_225341,c_225340,c_223782,c_223778,c_223775,c_223774,c_223773,c_223772,c_223728,c_223724,c_223721,c_223720,c_223719,c_223718,c_223160,c_223157,c_223154,c_223151,c_223150,c_223149,c_223140,c_223136,c_223133,c_223131,c_223130,c_223129,c_215052,c_215049,c_215046,c_215045,c_215044,c_215043,c_215035,c_215019,c_215018,c_215017,c_215016,c_215015,c_215014,c_215013,c_215012,c_215011,c_215008,c_214114,c_214111,c_214110,c_214109,c_214087,c_214084,c_214083,c_214082,c_224044,c_224043,c_224042,c_223067,c_223063,c_223060,c_223059,c_223058,c_223057,c_223044,c_223040,c_223037,c_223033,c_223032,c_223031,c_222097,c_222093,c_222090,c_222089,c_222088,c_222087,c_220215,c_220211,c_220208,c_220207,c_220206,c_220205,c_214073,c_214070,c_214065,c_214064,c_214063,c_214062,c_214026,c_214023,c_214020,c_214019,c_214018,c_213328,c_213325,c_213324,c_213323,c_213322,c_223291,c_223290,c_223289,c_223287,c_223286,c_223284,c_223283,c_223282,c_223281,c_223280,c_223279,c_223278,c_223275,c_223274,c_223273,c_223272,c_223271,c_223270,c_223269,c_223277,c_223276,c_223266,c_223265,c_223264,c_223263,c_223262,c_223261,c_223260,c_223259,c_223258,c_223257,c_223256,c_223255,c_223254,c_223253,c_221198,c_221197,c_221196,c_220933,c_220932,c_220931,c_220196,c_220193,c_220190,c_220189,c_220188,c_220187,c_220178,c_220174,c_220171,c_220168,c_220167,c_220166,c_219531,c_219527,c_219524,c_219522,c_219521,c_219520,c_219446,c_219442,c_219439,c_219438,c_219437,c_219436,c_213251,c_213248,c_213247,c_213246,c_213245,c_213236,c_213233,c_213228,c_213227,c_213226,c_213225,c_213224,c_213215,c_213212,c_213211,c_213210,c_213209,c_222326,c_222325,c_222324,c_222322,c_222321,c_222319,c_222318,c_222317,c_222316,c_222315,c_222314,c_222313,c_222310,c_222309,c_222308,c_222307,c_222306,c_222305,c_222304,c_222312,c_222311,c_222301,c_222300,c_222299,c_222298,c_222297,c_222296,c_222295,c_222294,c_222293,c_222292,c_222291,c_222290,c_222289,c_222288,c_220317,c_220316,c_220310,c_220305,c_220300,c_220294,c_220289,c_220284,c_220280,c_220275,c_220270,c_220263,c_220259,c_220256,c_220245,c_220242,c_220241,c_220240,c_220239,c_220238,c_220237,c_220236,c_220235,c_220234,c_220233,c_220230,c_220229,c_220228,c_220227,c_220226,c_220225,c_220231,c_220232,c_220222,c_220220,c_218476,c_218472,c_218469,c_218465,c_218464,c_218463,c_218454,c_218450,c_218447,c_218446,c_218445,c_218444,c_221979,c_221975,c_221972,c_221969,c_221966,c_221963,c_221960,c_221957,c_221954,c_221951,c_221950,c_221949,c_221948,c_221947,c_221946,c_221945,c_221944,c_221943,c_221942,c_221941,c_221940,c_221922,c_221918,c_212472,c_212469,c_212468,c_212467,c_212466,c_212457,c_212454,c_212453,c_212452,c_212451,c_221482,c_221481,c_221480,c_221478,c_221477,c_221475,c_221474,c_221473,c_221472,c_221471,c_221470,c_221469,c_221466,c_221465,c_221464,c_221463,c_221462,c_221461,c_221460,c_221468,c_221467,c_221457,c_221456,c_221455,c_221454,c_221453,c_221452,c_221451,c_221450,c_221449,c_221448,c_221447,c_221446,c_221445,c_221444,c_215543,c_215542,c_215541,c_215514,c_215513,c_215512,c_215476,c_215475,c_215469,c_215464,c_215459,c_215453,c_215448,c_215443,c_215439,c_215434,c_215429,c_215419,c_215415,c_215412,c_215401,c_215398,c_215397,c_215396,c_215395,c_215394,c_215393,c_215392,c_215391,c_215390,c_215389,c_215388,c_215385,c_215384,c_215383,c_215382,c_215381,c_215380,c_215386,c_215387,c_215377,c_215375,c_218550,c_218549,c_218548,c_221901,c_221897,c_221873,c_221894,c_221891,c_221888,c_221885,c_221882,c_221879,c_221876,c_221871,c_221870,c_221869,c_221868,c_221867,c_221866,c_221865,c_221864,c_221863,c_221862,c_218437,c_218435,c_218426,c_218422,c_218419,c_218416,c_218413,c_218410,c_218407,c_218404,c_218401,c_218398,c_218397,c_218396,c_218395,c_218394,c_218393,c_218392,c_218391,c_218390,c_218389,c_218388,c_218387,c_220161,c_220159,c_211272,c_211256,c_211255,c_211254,c_211253,c_211252,c_211251,c_211250,c_211249,c_211248,c_211245,c_220065,c_220064,c_220063,c_220062,c_219831,c_219830,c_219823,c_219822,c_219815,c_219814,c_219807,c_219806,c_219801,c_219800,c_219795,c_219794,c_219788,c_219787,c_219780,c_219773,c_219766,c_219759,c_219752,c_219745,c_219741,c_219740,c_219735,c_219730,c_219725,c_219720,c_219715,c_219710,c_219705,c_219701,c_219697,c_219693,c_219689,c_219685,c_219681,c_219677,c_219674,c_219671,c_219668,c_219665,c_219662,c_219661,c_219660,c_219659,c_219658,c_219657,c_219655,c_219654,c_219652,c_219651,c_219650,c_219649,c_219648,c_219647,c_219646,c_219643,c_219642,c_219641,c_219640,c_219639,c_219638,c_219637,c_219645,c_219644,c_219634,c_219633,c_219632,c_219631,c_219630,c_219629,c_219628,c_219627,c_219626,c_219625,c_219624,c_219623,c_219622,c_219621,c_219619,c_217863,c_217862,c_217861,c_217705,c_217704,c_217698,c_217693,c_217688,c_217682,c_217677,c_217672,c_217668,c_217663,c_217658,c_217648,c_217644,c_217641,c_217630,c_217627,c_217626,c_217625,c_217624,c_217623,c_217622,c_217621,c_217620,c_217619,c_217618,c_217617,c_217614,c_217613,c_217612,c_217611,c_217610,c_217609,c_217615,c_217616,c_217606,c_217604,c_217557,c_217556,c_217555,c_212492,c_212491,c_212490,c_211330,c_211329,c_211328,c_219431,c_219429,c_219428,c_219427,c_219426,c_219425,c_211241,c_211238,c_211237,c_211236,c_211227,c_211224,c_211219,c_211218,c_211217,c_211216,c_219134,c_219131,c_219130,c_219129,c_219128,c_219127,c_218928,c_218927,c_218920,c_218919,c_218912,c_218911,c_218904,c_218903,c_218898,c_218897,c_218892,c_218891,c_218885,c_218884,c_218877,c_218870,c_218863,c_218856,c_218849,c_218842,c_218838,c_218837,c_218832,c_218827,c_218822,c_218817,c_218812,c_218807,c_218802,c_218798,c_218794,c_218790,c_218786,c_218782,c_218778,c_218774,c_218771,c_218768,c_218765,c_218762,c_218759,c_218758,c_218757,c_218756,c_218755,c_218754,c_218752,c_218751,c_218749,c_218748,c_218747,c_218746,c_218745,c_218744,c_218743,c_218740,c_218739,c_218738,c_218737,c_218736,c_218735,c_218734,c_218742,c_218741,c_218731,c_218730,c_218729,c_218728,c_218727,c_218726,c_218725,c_218724,c_218723,c_218722,c_218721,c_218720,c_218719,c_218718,c_218716,c_216765,c_216764,c_216763,c_216705,c_216704,c_216698,c_216693,c_216688,c_216682,c_216677,c_216672,c_216668,c_216663,c_216658,c_216651,c_216647,c_216644,c_216633,c_216630,c_216629,c_216628,c_216627,c_216626,c_216625,c_216624,c_216623,c_216622,c_216621,c_216618,c_216617,c_216616,c_216615,c_216614,c_216613,c_216619,c_216620,c_216610,c_216608,c_211306,c_211305,c_211304,c_225194,c_225191,c_225189,c_225188,c_225187,c_225317,c_225315,c_225314,c_225313,c_225312,c_218374,c_218371,c_218370,c_218369,c_218092,c_218091,c_218084,c_218083,c_218076,c_218075,c_218068,c_218067,c_218062,c_218061,c_218056,c_218055,c_218049,c_218048,c_218041,c_218034,c_218027,c_218020,c_218013,c_218006,c_218002,c_218001,c_217996,c_217991,c_217986,c_217981,c_217976,c_217971,c_217966,c_217963,c_217960,c_217956,c_217952,c_217949,c_217946,c_217942,c_217939,c_217936,c_217933,c_217930,c_217927,c_217926,c_217925,c_217924,c_217923,c_217922,c_217920,c_217919,c_217917,c_217916,c_217915,c_217914,c_217913,c_217912,c_217911,c_217908,c_217907,c_217906,c_217905,c_217904,c_217903,c_217902,c_217910,c_217909,c_217899,c_217898,c_217897,c_217896,c_217895,c_217894,c_217893,c_217892,c_217891,c_217890,c_217889,c_217888,c_217887,c_217886,c_217884,c_225186,c_225326,c_225181,c_225180,c_225179,c_225178,c_225175,c_225173,c_225172,c_225171,c_225167,c_225162,c_225156,c_225155,c_225154,c_225153,c_225152,c_225151,c_225150,c_225149,c_225148,c_225147,c_225146,c_225145,c_225144,c_225143,c_225142,c_225141,c_225131,c_225126,c_225120,c_225119,c_225118,c_225117,c_225107,c_225102,c_225096,c_225095,c_225094,c_225093,c_225083,c_225078,c_225072,c_225071,c_225070,c_225069,c_224898,c_224894,c_224890,c_224886,c_224885,c_224884,c_224883,c_224882,c_224881,c_224880,c_224879,c_214598,c_214597,c_214596,c_210656,c_210655,c_210654,c_210632,c_210631,c_210630,c_210608,c_210607,c_210606,c_210584,c_210583,c_210582,c_211207,c_211204,c_211203,c_211202,c_207356,c_207353,c_207352,c_207351,c_210159,c_210158,c_210157,c_210156,c_210155,c_210154,c_210153,c_210152,c_210151,c_210150,c_210149,c_210148,c_210147,c_210146,c_210145,c_210144,c_210143,c_210142,c_210141,c_210140,c_210139,c_210138,c_210137,c_210136,c_210135,c_210134,c_210133,c_210132,c_210131,c_210130,c_210129,c_210128,c_210127,c_210126,c_210125,c_210124,c_210123,c_210122,c_210121,c_210120,c_210119,c_210118,c_210117,c_210116,c_210115,c_210114,c_210113,c_210112,c_210111,c_210110,c_210109,c_210108,c_210107,c_210106,c_210105,c_210104,c_210103,c_216822,c_216821,c_216820,c_216818,c_216817,c_216815,c_216814,c_216813,c_216812,c_216811,c_216810,c_216809,c_216806,c_216805,c_216804,c_216803,c_216802,c_216801,c_216800,c_216808,c_216807,c_216797,c_216796,c_216795,c_216794,c_216793,c_216792,c_216791,c_216790,c_216789,c_216788,c_216787,c_216786,c_216785,c_216784,c_211753,c_211703,c_211702,c_211701,c_211700,c_211699,c_211698,c_211693,c_211692,c_211689,c_211695,c_211697,c_211686,c_211453,c_211403,c_211402,c_211401,c_211400,c_211399,c_211398,c_211393,c_211392,c_211389,c_211395,c_211397,c_211386,c_211376,c_211372,c_211371,c_211370,c_211369,c_211368,c_211367,c_211365,c_211301,c_211297,c_211294,c_211293,c_211292,c_211291,c_211289,c_211288,c_211284,c_211281,c_211280,c_211279,c_211278,c_211276,c_215837,c_215836,c_215835,c_215833,c_215832,c_215830,c_215829,c_215828,c_215827,c_215826,c_215825,c_215824,c_215821,c_215820,c_215819,c_215818,c_215817,c_215816,c_215815,c_215823,c_215822,c_215812,c_215811,c_215810,c_215809,c_215808,c_215807,c_215806,c_215805,c_215804,c_215803,c_215802,c_215801,c_215800,c_215799,c_209992,c_209984,c_209979,c_209976,c_209975,c_209974,c_209973,c_209964,c_209961,c_209960,c_209959,c_209958,c_209951,c_209938,c_209818,c_209817,c_209811,c_209806,c_209801,c_209795,c_209790,c_209785,c_209779,c_209770,c_209769,c_209762,c_209760,c_209759,c_209758,c_209757,c_209756,c_209755,c_209754,c_209753,c_209752,c_209748,c_209744,c_209750,c_209751,c_209741,c_209449,c_209448,c_209442,c_209437,c_209432,c_209426,c_209421,c_209416,c_209410,c_209404,c_209403,c_209392,c_209391,c_209390,c_209389,c_209388,c_209386,c_209385,c_209384,c_209383,c_209382,c_209378,c_209374,c_209380,c_209381,c_209371,c_209347,c_209344,c_209343,c_209342,c_209341,c_209340,c_209310,c_209307,c_209306,c_209305,c_209304,c_209303,c_209302,c_209301,c_209273,c_209270,c_214658,c_214657,c_214656,c_214654,c_214653,c_214651,c_214650,c_214649,c_214648,c_214647,c_214646,c_214645,c_214642,c_214641,c_214640,c_214639,c_214638,c_214637,c_214636,c_214644,c_214643,c_214633,c_214632,c_214631,c_214630,c_214629,c_214628,c_214627,c_214626,c_214625,c_214624,c_214623,c_214622,c_214621,c_214620,c_214569,c_214568,c_214567,c_214308,c_214307,c_214301,c_214296,c_214291,c_214285,c_214280,c_214275,c_214271,c_214266,c_214261,c_214254,c_214250,c_214247,c_214236,c_214233,c_214232,c_214231,c_214230,c_214229,c_214228,c_214227,c_214226,c_214225,c_214224,c_214221,c_214220,c_214219,c_214218,c_214217,c_214216,c_214222,c_214223,c_214213,c_214211,c_214209,c_213588,c_213585,c_213583,c_213582,c_213581,c_214123,c_214121,c_214120,c_214119,c_214118,c_213840,c_213831,c_213822,c_213813,c_213806,c_213799,c_213791,c_213737,c_213633,c_213632,c_213631,c_213629,c_213628,c_213626,c_213625,c_213624,c_213623,c_213622,c_213621,c_213620,c_213617,c_213616,c_213615,c_213614,c_213613,c_213612,c_213611,c_213619,c_213618,c_213608,c_213607,c_213606,c_213605,c_213604,c_213603,c_213602,c_213601,c_213600,c_213599,c_213598,c_213597,c_213596,c_213595,c_213593,c_213580,c_213577,c_213575,c_213574,c_213573,c_213572,c_213569,c_213567,c_213566,c_213565,c_213543,c_213538,c_213532,c_213531,c_213530,c_213529,c_213528,c_213527,c_213526,c_213525,c_213524,c_213523,c_213522,c_213521,c_213520,c_213519,c_213518,c_213517,c_213507,c_213502,c_213496,c_213495,c_213494,c_213493,c_213483,c_213478,c_213472,c_213471,c_213470,c_213469,c_213441,c_213436,c_213430,c_213429,c_213428,c_213427,c_212821,c_212817,c_212813,c_212809,c_212808,c_212807,c_212806,c_212805,c_212804,c_212803,c_212802,c_212790,c_212787,c_212785,c_212784,c_212783,c_208111,c_208110,c_208109,c_208108,c_208099,c_208096,c_208095,c_208094,c_208093,c_208084,c_208083,c_208082,c_208081,c_213099,c_213090,c_213081,c_213072,c_213065,c_213058,c_213050,c_212996,c_212892,c_212891,c_212890,c_212888,c_212887,c_212885,c_212884,c_212883,c_212882,c_212881,c_212880,c_212879,c_212876,c_212875,c_212874,c_212873,c_212872,c_212871,c_212870,c_212878,c_212877,c_212867,c_212866,c_212865,c_212864,c_212863,c_212862,c_212861,c_212860,c_212859,c_212858,c_212857,c_212856,c_212855,c_212854,c_212852,c_211869,c_210961,c_210960,c_210955,c_210950,c_210944,c_210939,c_210934,c_210908,c_212730,c_210906,c_210905,c_210904,c_210903,c_210902,c_210897,c_210894,c_210900,c_210901,c_210891,c_208840,c_208639,c_208638,c_208633,c_208628,c_208622,c_208617,c_208612,c_208608,c_208602,c_208587,c_208583,c_208580,c_208579,c_208578,c_208577,c_208576,c_208575,c_208574,c_208573,c_208572,c_208567,c_208566,c_208565,c_208564,c_208570,c_208571,c_208561,c_210676,c_209195,c_209194,c_209189,c_209184,c_209178,c_209173,c_209168,c_209164,c_209158,c_209149,c_209145,c_209142,c_209141,c_212554,c_209140,c_209139,c_209138,c_209137,c_209136,c_209131,c_209130,c_209129,c_209128,c_209134,c_209135,c_209125,c_215295,c_215282,c_215281,c_215280,c_214197,c_214184,c_214183,c_214182,c_206745,c_206742,c_206741,c_206740,c_206739,c_206730,c_206729,c_206728,c_206727,c_212118,c_212109,c_212100,c_212091,c_212084,c_212077,c_212069,c_212015,c_211968,c_211963,c_211948,c_211943,c_211911,c_211910,c_211909,c_211907,c_211906,c_211904,c_211903,c_211902,c_211901,c_211900,c_211899,c_211898,c_211895,c_211894,c_211893,c_211892,c_211891,c_211890,c_211889,c_211897,c_211896,c_211886,c_211885,c_211884,c_211883,c_211882,c_211881,c_211880,c_211879,c_211878,c_211877,c_211876,c_211875,c_211874,c_211873,c_211871,c_210889,c_210864,c_210863,c_210858,c_210853,c_210847,c_210842,c_210837,c_210811,c_212729,c_210809,c_210808,c_210807,c_210806,c_210805,c_210800,c_210797,c_210803,c_210804,c_210794,c_212739,c_212736,c_212733,c_212728,c_212727,c_212725,c_212724,c_212723,c_212708,c_212706,c_212705,c_212704,c_212703,c_210792,c_210787,c_210786,c_210781,c_210776,c_210770,c_210765,c_210760,c_210754,c_210752,c_210751,c_210750,c_210749,c_210748,c_210743,c_210740,c_210746,c_210747,c_210737,c_214172,c_214159,c_214158,c_214157,c_213350,c_213337,c_213336,c_213335,c_208195,c_208182,c_208181,c_208180,c_206718,c_206717,c_206716,c_206715,c_205926,c_205925,c_205922,c_211130,c_211123,c_211117,c_211111,c_211105,c_211101,c_211097,c_211094,c_211092,c_211085,c_211084,c_211087,c_211091,c_211078,c_210732,c_210728,c_210721,c_210714,c_210708,c_210706,c_210705,c_210704,c_210703,c_210702,c_210692,c_210686,c_210685,c_210684,c_212693,c_212690,c_212688,c_212687,c_212686,c_208357,c_208313,c_208312,c_208307,c_208302,c_208296,c_208291,c_208286,c_208282,c_208276,c_208261,c_208257,c_208254,c_208253,c_208252,c_208251,c_208250,c_208249,c_208248,c_208247,c_208246,c_208241,c_208240,c_208239,c_208238,c_208244,c_208245,c_208235,c_209123,c_209118,c_209117,c_209112,c_209107,c_209101,c_209096,c_209091,c_209065,c_212553,c_209063,c_209062,c_209061,c_209060,c_209059,c_209054,c_209051,c_209057,c_209058,c_209048,c_213375,c_213362,c_213361,c_213360,c_208170,c_208157,c_208156,c_208155,c_205914,c_205913,c_205910,c_205909,c_205908,c_205907,c_205906,c_205903,c_205142,c_210062,c_210056,c_210050,c_210043,c_210037,c_210031,c_210027,c_210023,c_210019,c_210018,c_210017,c_210011,c_210010,c_210013,c_210014,c_210004,c_212563,c_212560,c_212557,c_212552,c_212551,c_212549,c_212548,c_212547,c_212529,c_212526,c_212525,c_212523,c_212522,c_212521,c_209046,c_209041,c_209040,c_209035,c_209030,c_209024,c_209019,c_209014,c_209008,c_209006,c_209005,c_209004,c_209003,c_209002,c_208997,c_208994,c_209000,c_209001,c_208991,c_208899,c_208895,c_208888,c_208881,c_208875,c_208873,c_208872,c_208871,c_208870,c_208869,c_208856,c_208850,c_208849,c_208848,c_206166,c_206153,c_206152,c_206151,c_206001,c_205988,c_205987,c_205986,c_205976,c_205963,c_205962,c_205961,c_205951,c_205938,c_205937,c_205936,c_205129,c_205116,c_205091,c_189897,c_209256,c_209250,c_209244,c_209237,c_209231,c_209227,c_209223,c_209218,c_209217,c_209211,c_209210,c_209213,c_209214,c_209204,c_208370,c_208367,c_208365,c_208364,c_208363,c_208233,c_206393,c_206392,c_206387,c_206382,c_206376,c_206371,c_206366,c_206362,c_206356,c_206341,c_206337,c_206334,c_206333,c_206332,c_206331,c_206330,c_206329,c_206328,c_206327,c_206326,c_206321,c_206320,c_206319,c_206318,c_206324,c_206325,c_206315,c_206312,c_206299,c_206297,c_206296,c_206295,c_206294,c_206292,c_206772,c_207382,c_206280,c_207377,c_206767,c_206278,c_206277,c_189898,c_191451,c_191452,c_191453,c_208724,c_208717,c_208710,c_208702,c_208695,c_208690,c_208685,c_208680,c_208679,c_208673,c_208672,c_208675,c_208676,c_208666,c_200960,c_200956,c_200950,c_200949,c_200948,c_200947,c_203749,c_203745,c_203739,c_203738,c_203737,c_203736,c_206253,c_206249,c_206243,c_206242,c_206241,c_206240,c_205425,c_204941,c_204614,c_204320,c_204319,c_204318,c_204317,c_204316,c_204315,c_204314,c_204313,c_204312,c_204311,c_204310,c_204309,c_207483,c_206835,c_204308,c_204307,c_204306,c_204305,c_204304,c_204303,c_204302,c_204301,c_204300,c_204299,c_204298,c_204297,c_204296,c_204295,c_204294,c_204293,c_204292,c_204291,c_204290,c_204289,c_204288,c_204287,c_204286,c_204285,c_204284,c_204283,c_204282,c_204281,c_204280,c_204279,c_204278,c_204277,c_204276,c_204275,c_204274,c_204273,c_204272,c_204271,c_204270,c_204269,c_208054,c_208053,c_208052,c_206229,c_206225,c_206219,c_206218,c_206217,c_206216,c_205777,c_205773,c_205767,c_205766,c_205765,c_205764,c_205754,c_205748,c_205747,c_205746,c_208044,c_200888,c_200884,c_200881,c_200880,c_200879,c_200878,c_203701,c_203697,c_203694,c_203693,c_203692,c_203691,c_205427,c_204943,c_204616,c_203179,c_203178,c_203177,c_203176,c_203175,c_203174,c_203173,c_203172,c_203171,c_203170,c_203169,c_203168,c_207485,c_206837,c_203167,c_203166,c_203165,c_203164,c_203163,c_203162,c_203161,c_203160,c_203159,c_203158,c_203157,c_203156,c_203155,c_203154,c_203153,c_203152,c_203151,c_203150,c_203149,c_203148,c_203147,c_203146,c_203145,c_203144,c_203143,c_203142,c_203141,c_203140,c_203139,c_203138,c_203137,c_203136,c_203135,c_203134,c_203133,c_203132,c_203131,c_203130,c_203129,c_203128,c_200850,c_200849,c_203677,c_203676,c_208039,c_208038,c_208033,c_208028,c_208022,c_208016,c_208011,c_208006,c_208004,c_208003,c_208002,c_208001,c_208000,c_207995,c_207992,c_207998,c_207999,c_207989,c_207888,c_207882,c_207877,c_207873,c_207871,c_207870,c_207869,c_207868,c_207867,c_207857,c_207855,c_207854,c_207838,c_207833,c_207829,c_207828,c_207827,c_207826,c_207816,c_207814,c_206205,c_206201,c_206198,c_206197,c_206196,c_206195,c_206181,c_206180,c_206178,c_206177,c_205204,c_205203,c_205202,c_205167,c_205166,c_205165,c_201892,c_201891,c_201890,c_205664,c_205663,c_205658,c_205657,c_205656,c_200073,c_200072,c_200068,c_200067,c_200066,c_200065,c_202979,c_202978,c_202974,c_202973,c_202972,c_202971,c_205456,c_205455,c_205454,c_205453,c_205452,c_205451,c_205450,c_205449,c_205448,c_205447,c_205446,c_205445,c_205444,c_205443,c_205442,c_205441,c_205440,c_205439,c_205438,c_205437,c_205436,c_205435,c_205434,c_205433,c_205432,c_205431,c_205428,c_205430,c_205429,c_205426,c_205424,c_206543,c_206535,c_206529,c_206521,c_206515,c_206507,c_206499,c_206492,c_206486,c_206480,c_206475,c_206469,c_206465,c_206461,c_206458,c_206456,c_206449,c_206448,c_206451,c_206455,c_206442,c_206441,c_206440,c_206439,c_206438,c_206437,c_206436,c_206435,c_205407,c_205659,c_206174,c_205654,c_205422,c_205344,c_205343,c_205342,c_205341,c_205340,c_205339,c_205336,c_205335,c_205334,c_205333,c_205332,c_205331,c_205337,c_205338,c_205328,c_205887,c_205883,c_205880,c_205879,c_205878,c_205877,c_205863,c_205862,c_205860,c_205859,c_205651,c_205650,c_205645,c_205644,c_205643,c_204972,c_204971,c_204970,c_204969,c_204968,c_204967,c_204966,c_204965,c_204964,c_204963,c_204962,c_204961,c_204960,c_204959,c_204958,c_204957,c_204956,c_204955,c_204954,c_204953,c_204952,c_204951,c_204950,c_204949,c_204948,c_204947,c_204944,c_204946,c_204945,c_204942,c_204940,c_204856,c_205646,c_205856,c_205641,c_204938,c_204793,c_204792,c_204791,c_204790,c_204789,c_204788,c_204785,c_204784,c_204783,c_204782,c_204781,c_204780,c_204786,c_204787,c_204777,c_201864,c_201863,c_201862,c_199164,c_199163,c_199162,c_199161,c_199160,c_199159,c_199158,c_199157,c_199156,c_199155,c_199154,c_199153,c_199152,c_199151,c_199150,c_199149,c_199148,c_199147,c_199146,c_199145,c_199144,c_199143,c_199142,c_199141,c_199140,c_199139,c_201042,c_199479,c_200484,c_203806,c_199138,c_202563,c_202562,c_202561,c_202560,c_202559,c_202558,c_202557,c_202556,c_202555,c_202554,c_202553,c_202552,c_202551,c_202550,c_202549,c_202548,c_202547,c_202546,c_202545,c_202544,c_202543,c_202542,c_202541,c_202540,c_202539,c_202538,c_202535,c_202537,c_202536,c_203809,c_202534,c_207804,c_207803,c_207801,c_207800,c_207799,c_207728,c_207727,c_207726,c_207725,c_207724,c_207552,c_207545,c_207531,c_207530,c_207529,c_207526,c_207523,c_207512,c_207511,c_207510,c_207509,c_207508,c_207507,c_207506,c_207505,c_207504,c_207503,c_207502,c_207501,c_207500,c_207499,c_207498,c_207497,c_207496,c_207495,c_207494,c_207493,c_207492,c_207491,c_207490,c_207489,c_207486,c_207488,c_207487,c_207484,c_207482,c_174935,c_199136,c_200063,c_200843,c_202532,c_202969,c_203670,c_207424,c_207423,c_207418,c_207414,c_207410,c_207405,c_207401,c_207397,c_207393,c_207389,c_207388,c_207381,c_207380,c_207379,c_207378,c_207376,c_207375,c_207374,c_207373,c_207372,c_207371,c_207368,c_207367,c_207366,c_207365,c_207364,c_207363,c_207369,c_207370,c_207360,c_205898,c_204772,c_204768,c_204765,c_204764,c_204763,c_204762,c_204755,c_204754,c_204750,c_204749,c_204747,c_204746,c_204745,c_204742,c_204741,c_204739,c_204738,c_204737,c_204645,c_204644,c_204643,c_204642,c_204641,c_204640,c_204639,c_204638,c_204637,c_204636,c_204635,c_204634,c_204633,c_204632,c_204631,c_204630,c_204629,c_204628,c_204627,c_204626,c_204625,c_204624,c_204623,c_204622,c_204621,c_204620,c_204617,c_204619,c_204618,c_204615,c_204613,c_204553,c_204552,c_204548,c_204544,c_204539,c_204534,c_204530,c_204526,c_204525,c_204521,c_204517,c_204513,c_204512,c_204511,c_204510,c_204509,c_204508,c_204507,c_204506,c_204505,c_204504,c_204501,c_204500,c_204499,c_204498,c_204497,c_204496,c_204502,c_204503,c_204493,c_203810,c_203808,c_203807,c_203805,c_203804,c_203803,c_203802,c_203801,c_203800,c_203799,c_203798,c_206836,c_203797,c_203796,c_203795,c_203794,c_203793,c_203792,c_203791,c_203790,c_203789,c_203788,c_203787,c_203786,c_203785,c_203784,c_203783,c_203782,c_203781,c_203780,c_203779,c_203778,c_203777,c_203776,c_203775,c_203774,c_203773,c_203772,c_203771,c_203770,c_203769,c_203768,c_203767,c_203766,c_203765,c_203764,c_203763,c_203762,c_203761,c_203760,c_203759,c_203758,c_203674,c_203673,c_201824,c_201823,c_201822,c_201797,c_201796,c_201795,c_200823,c_200822,c_200821,c_200799,c_200798,c_200797,c_200703,c_200702,c_200701,c_200679,c_200678,c_200677,c_200655,c_200654,c_200653,c_202142,c_201533,c_200483,c_200482,c_200481,c_200480,c_200479,c_200478,c_200477,c_200476,c_206839,c_200475,c_200474,c_200473,c_200472,c_200471,c_200470,c_200469,c_200468,c_200467,c_200466,c_200465,c_200464,c_200463,c_200462,c_200461,c_200460,c_200459,c_200458,c_200457,c_200456,c_200455,c_200454,c_200453,c_200452,c_200451,c_200450,c_200449,c_200448,c_200447,c_200446,c_200445,c_200444,c_200443,c_200442,c_200441,c_200440,c_200439,c_200438,c_200437,c_200436,c_205082,c_200936,c_200932,c_200926,c_200925,c_200924,c_200923,c_203725,c_203721,c_203715,c_203714,c_203713,c_203712,c_203533,c_203529,c_203523,c_203522,c_203521,c_203520,c_203005,c_202999,c_202998,c_202997,c_207309,c_207276,c_207275,c_207270,c_207265,c_207259,c_207253,c_207248,c_207243,c_207241,c_207240,c_207239,c_207238,c_207237,c_207232,c_207229,c_207235,c_207236,c_207226,c_200775,c_200774,c_200773,c_200751,c_200750,c_200749,c_200727,c_200726,c_200725,c_199744,c_199743,c_199742,c_199720,c_199719,c_199718,c_199696,c_199695,c_199694,c_199660,c_199659,c_199658,c_202143,c_201534,c_199478,c_199477,c_199476,c_199475,c_199474,c_199473,c_199472,c_199471,c_206840,c_199470,c_199469,c_199468,c_199467,c_199466,c_199465,c_199464,c_199463,c_199462,c_199461,c_199460,c_199459,c_199458,c_199457,c_199456,c_199455,c_199454,c_199453,c_199452,c_199451,c_199450,c_199449,c_199448,c_199447,c_199446,c_199445,c_199444,c_199443,c_199442,c_199441,c_199440,c_199439,c_199438,c_199437,c_199436,c_199435,c_199434,c_199433,c_199432,c_199431,c_204259,c_204252,c_204246,c_204240,c_204234,c_204230,c_204226,c_204223,c_204221,c_204214,c_204213,c_204216,c_204220,c_204207,c_207219,c_207213,c_207208,c_207204,c_207202,c_207201,c_207200,c_207199,c_207198,c_207188,c_207186,c_207185,c_207154,c_207149,c_207145,c_207144,c_207143,c_207142,c_207132,c_207130,c_202461,c_202460,c_202455,c_202450,c_202444,c_202438,c_202433,c_202428,c_202424,c_202419,c_202414,c_202410,c_202404,c_202401,c_202398,c_202397,c_202396,c_202395,c_202394,c_202393,c_202392,c_202389,c_202388,c_202387,c_202386,c_202385,c_202384,c_202390,c_202391,c_202381,c_200140,c_200136,c_200133,c_200132,c_200131,c_200130,c_203665,c_203661,c_203658,c_203657,c_203656,c_203655,c_213413,c_213400,c_213399,c_213398,c_199426,c_199425,c_199424,c_199423,c_199420,c_200116,c_200115,c_199326,c_199325,c_199321,c_199320,c_199319,c_199318,c_203071,c_203065,c_203059,c_203052,c_203046,c_203040,c_203036,c_203032,c_203028,c_203027,c_203026,c_203020,c_203019,c_203022,c_203023,c_203013,c_203545,c_203544,c_203542,c_203541,c_202964,c_202963,c_202958,c_202957,c_202956,c_202169,c_202168,c_202167,c_202166,c_202165,c_202164,c_202163,c_202162,c_202161,c_202160,c_202159,c_202158,c_202157,c_202156,c_202155,c_202154,c_202153,c_202152,c_202151,c_202150,c_202149,c_202148,c_202147,c_202146,c_202145,c_202144,c_202141,c_202140,c_202123,c_202959,c_203538,c_202954,c_202138,c_202060,c_202059,c_202058,c_202057,c_202056,c_202055,c_202052,c_202051,c_202050,c_202049,c_202048,c_202047,c_202053,c_202054,c_202044,c_201964,c_201960,c_201957,c_201956,c_201955,c_201954,c_201789,c_201788,c_201784,c_201783,c_201781,c_201780,c_201779,c_198390,c_198389,c_198388,c_198387,c_198386,c_198385,c_198384,c_198383,c_198382,c_198381,c_198380,c_198379,c_198378,c_198377,c_198376,c_198375,c_198374,c_198373,c_198372,c_198371,c_198370,c_198369,c_198368,c_198367,c_198366,c_198365,c_201041,c_198364,c_207105,c_207104,c_207102,c_207101,c_207100,c_207096,c_207095,c_207094,c_207093,c_207092,c_206904,c_206897,c_206882,c_206881,c_206878,c_206875,c_206864,c_206863,c_206862,c_206861,c_206860,c_206859,c_206858,c_206857,c_206856,c_206855,c_206854,c_206853,c_206852,c_206851,c_206850,c_206849,c_206848,c_206847,c_206846,c_206845,c_206844,c_206843,c_206842,c_206841,c_206838,c_206834,c_174459,c_198362,c_199316,c_200109,c_206814,c_206813,c_206808,c_206804,c_206800,c_206795,c_206791,c_206787,c_206783,c_206779,c_206778,c_206771,c_206770,c_206769,c_206768,c_206766,c_206765,c_206764,c_206763,c_206762,c_206761,c_206758,c_206757,c_206756,c_206755,c_206754,c_206753,c_206759,c_206760,c_206750,c_201766,c_201765,c_201763,c_201762,c_201761,c_201560,c_201559,c_201558,c_201557,c_201556,c_201555,c_201554,c_201553,c_201552,c_201551,c_201550,c_201549,c_201548,c_201547,c_201546,c_201545,c_201544,c_201543,c_201542,c_201541,c_201540,c_201539,c_201538,c_201537,c_201536,c_201535,c_201532,c_201531,c_201505,c_201499,c_201493,c_201486,c_201480,c_201476,c_201472,c_201467,c_201466,c_201460,c_201459,c_201462,c_201463,c_201453,c_201417,c_201416,c_201412,c_201408,c_201403,c_201398,c_201394,c_201390,c_201389,c_201385,c_201381,c_201377,c_201376,c_201375,c_201374,c_201373,c_201372,c_201371,c_201370,c_201369,c_201368,c_201365,c_201364,c_201363,c_201362,c_201361,c_201360,c_201366,c_201367,c_201357,c_201043,c_201040,c_201039,c_201038,c_201037,c_201036,c_201035,c_201034,c_201033,c_201032,c_201031,c_201030,c_201029,c_201028,c_201027,c_201026,c_201025,c_201024,c_201023,c_201022,c_201021,c_201020,c_201019,c_201018,c_201017,c_201016,c_201015,c_201014,c_201013,c_201012,c_201011,c_201010,c_201009,c_201008,c_201007,c_201006,c_201005,c_201004,c_201003,c_201002,c_201001,c_201000,c_200999,c_200998,c_200997,c_200996,c_200995,c_200994,c_200912,c_200908,c_200902,c_200901,c_200900,c_200899,c_200847,c_200846,c_200113,c_200112,c_200104,c_200100,c_200097,c_200096,c_200095,c_200094,c_200087,c_200086,c_200083,c_200082,c_200080,c_200079,c_200076,c_200061,c_208145,c_208132,c_208131,c_208130,c_197124,c_200425,c_200418,c_200411,c_200403,c_200396,c_200391,c_200386,c_200381,c_200380,c_200374,c_200373,c_200376,c_200377,c_200367,c_200056,c_200055,c_200050,c_200045,c_200039,c_200033,c_200028,c_200020,c_200018,c_200017,c_200016,c_200015,c_200014,c_200013,c_200008,c_200005,c_200011,c_200012,c_200002,c_199996,c_199990,c_199984,c_199979,c_199975,c_199973,c_199972,c_199971,c_199970,c_199969,c_199385,c_199383,c_199382,c_199359,c_199354,c_199350,c_199349,c_199348,c_199347,c_199337,c_199335,c_199242,c_199241,c_199237,c_199236,c_199235,c_199234,c_199232,c_198053,c_198052,c_198051,c_198050,c_198049,c_198048,c_198047,c_198046,c_198045,c_198044,c_198043,c_198042,c_198041,c_198040,c_198039,c_198038,c_198037,c_198036,c_198035,c_198034,c_198033,c_198032,c_198031,c_198030,c_198029,c_198028,c_198027,c_199043,c_199042,c_199040,c_199039,c_199038,c_199034,c_199033,c_199032,c_199031,c_199030,c_198779,c_198772,c_198758,c_198755,c_198752,c_198741,c_198740,c_198739,c_198738,c_198737,c_198736,c_198735,c_198734,c_198733,c_198732,c_198731,c_198730,c_198729,c_198728,c_198727,c_198726,c_198725,c_198724,c_198723,c_198722,c_198721,c_198720,c_198719,c_198718,c_198717,c_174457,c_198025,c_198713,c_198712,c_198707,c_198703,c_198699,c_198694,c_198690,c_198686,c_198682,c_198678,c_198677,c_198671,c_198670,c_198669,c_198668,c_198667,c_198666,c_198665,c_198664,c_198663,c_198662,c_198661,c_198660,c_198657,c_198656,c_198655,c_198654,c_198653,c_198652,c_198658,c_198659,c_198649,c_199397,c_199396,c_199395,c_199131,c_199130,c_199125,c_199120,c_199114,c_199108,c_199103,c_199098,c_199094,c_199089,c_199084,c_199080,c_199071,c_199068,c_199065,c_199064,c_199063,c_199062,c_199061,c_199060,c_199059,c_199058,c_199055,c_199054,c_199053,c_199052,c_199051,c_199050,c_199056,c_199057,c_199047,c_198250,c_198249,c_198244,c_198239,c_198233,c_198227,c_198222,c_198217,c_198213,c_198208,c_198203,c_198199,c_198190,c_198187,c_198184,c_198183,c_198182,c_198181,c_198180,c_198179,c_198178,c_198177,c_198174,c_198173,c_198172,c_198171,c_198170,c_198169,c_198175,c_198176,c_198166,c_198008,c_198007,c_198002,c_197997,c_197991,c_197985,c_197980,c_197975,c_197971,c_197966,c_197961,c_197957,c_197948,c_197945,c_197942,c_197941,c_197940,c_197939,c_197938,c_197937,c_197936,c_197935,c_197932,c_197931,c_197930,c_197929,c_197928,c_197927,c_197933,c_197934,c_197924,c_197678,c_197677,c_197676,c_197675,c_197674,c_197673,c_197672,c_197671,c_197670,c_197669,c_197668,c_197667,c_197666,c_197665,c_197664,c_197663,c_197662,c_197661,c_197660,c_197659,c_197658,c_197657,c_197656,c_197655,c_197654,c_197653,c_197652,c_197651,c_197650,c_197649,c_197648,c_197647,c_197646,c_197645,c_197644,c_197643,c_197642,c_197641,c_197640,c_197639,c_197638,c_197637,c_197636,c_197635,c_197634,c_197633,c_197632,c_197364,c_197363,c_197362,c_197361,c_197360,c_197359,c_197358,c_197357,c_197356,c_197355,c_197354,c_197353,c_197352,c_197351,c_197350,c_197349,c_197348,c_197347,c_197346,c_197345,c_197344,c_197343,c_197342,c_197341,c_197340,c_197339,c_197338,c_197337,c_197336,c_197335,c_197334,c_197333,c_197332,c_197331,c_197330,c_197329,c_197328,c_197327,c_197326,c_197325,c_197324,c_197323,c_197322,c_197321,c_197320,c_197111,c_197098,c_197085,c_197072,c_197059,c_196073,c_196060,c_196047,c_197280,c_197279,c_197278,c_197277,c_197276,c_197275,c_197274,c_197201,c_197200,c_197199,c_197198,c_197196,c_197195,c_197194,c_197193,c_196824,c_196815,c_196806,c_196505,c_196504,c_196503,c_196502,c_196501,c_196500,c_196499,c_196498,c_196497,c_196496,c_196495,c_196494,c_196493,c_196492,c_196491,c_196490,c_196489,c_196488,c_196487,c_196486,c_196485,c_196484,c_196483,c_196482,c_196481,c_196480,c_196479,c_196478,c_196477,c_196476,c_196475,c_196474,c_196473,c_196472,c_196471,c_196470,c_196469,c_196468,c_196467,c_196466,c_196465,c_196464,c_196463,c_196462,c_196461,c_196450,c_196441,c_196034,c_195999,c_195986,c_195973,c_195960,c_195602,c_195537,c_196941,c_196933,c_196927,c_196919,c_196913,c_196905,c_196897,c_196890,c_196884,c_196878,c_196873,c_196867,c_196863,c_196859,c_196856,c_196854,c_196847,c_196846,c_196849,c_196853,c_196840,c_196839,c_196838,c_196837,c_196836,c_196835,c_196834,c_196833,c_196432,c_196133,c_196132,c_196131,c_196130,c_196129,c_196128,c_196127,c_196126,c_196125,c_196124,c_196123,c_196122,c_196121,c_196120,c_196119,c_196118,c_196117,c_196116,c_196115,c_196114,c_196113,c_196112,c_196111,c_196110,c_196109,c_196108,c_196107,c_196106,c_196105,c_196104,c_196103,c_196102,c_196101,c_196100,c_196099,c_196098,c_196097,c_196096,c_196095,c_196094,c_196093,c_196092,c_196091,c_196090,c_196089,c_196088,c_195940,c_195931,c_195922,c_195671,c_195670,c_195669,c_195668,c_195667,c_195666,c_195665,c_195664,c_195663,c_195662,c_195661,c_195660,c_195659,c_195658,c_195657,c_195656,c_195655,c_195654,c_195653,c_195652,c_195651,c_195650,c_195649,c_195648,c_195647,c_195646,c_195645,c_195644,c_195643,c_195642,c_195641,c_195640,c_195639,c_195638,c_195637,c_195636,c_195635,c_195634,c_195633,c_195632,c_195631,c_195630,c_195629,c_195628,c_195627,c_195465,c_195461,c_195524,c_195511,c_189284,c_195505,c_195951,c_195616,c_195611,c_195489,c_195500,c_195484,c_195479,c_195314,c_195310,c_195307,c_195306,c_195305,c_195304,c_195302,c_195286,c_195285,c_195280,c_195279,c_195278,c_195277,c_195243,c_195242,c_195237,c_195233,c_195229,c_195225,c_195224,c_195223,c_195220,c_195218,c_195211,c_195210,c_195213,c_195217,c_195204,c_195452,c_195445,c_195439,c_195433,c_195427,c_195423,c_195419,c_195416,c_195414,c_195407,c_195406,c_195409,c_195413,c_195400,c_195371,c_195018,c_195017,c_195012,c_195011,c_195010,c_195009,c_195004,c_195003,c_194999,c_194995,c_194990,c_194986,c_194984,c_194983,c_194979,c_194978,c_194977,c_194971,c_194970,c_194973,c_194974,c_194964,c_194956,c_194943,c_194942,c_194941,c_194938,c_194937,c_194932,c_194931,c_194930,c_194929,c_194912,c_194911,c_194906,c_194902,c_194898,c_194894,c_194893,c_194892,c_194889,c_194887,c_194880,c_194879,c_194882,c_194886,c_194873,c_194810,c_194809,c_195198,c_195192,c_195186,c_195179,c_195173,c_195167,c_195163,c_195159,c_195155,c_195154,c_195153,c_195147,c_195146,c_195149,c_195150,c_195140,c_195060,c_195059,c_195058,c_195057,c_195055,c_195054,c_195053,c_195051,c_194295,c_194294,c_194293,c_194292,c_194287,c_194286,c_194282,c_194278,c_194273,c_194269,c_194267,c_194266,c_194262,c_194261,c_194260,c_194254,c_194253,c_194256,c_194257,c_194247,c_194239,c_194226,c_194225,c_194224,c_194221,c_194220,c_194215,c_194214,c_194213,c_194212,c_194207,c_194206,c_194201,c_194197,c_194193,c_194189,c_194188,c_194187,c_194184,c_194182,c_194175,c_194174,c_194177,c_194181,c_194168,c_193808,c_193807,c_193782,c_193781,c_193780,c_193779,c_194721,c_194715,c_194709,c_194702,c_194696,c_194692,c_194688,c_194683,c_194682,c_194676,c_194675,c_194678,c_194679,c_194669,c_194603,c_194599,c_194597,c_194596,c_194595,c_194594,c_194593,c_194592,c_194591,c_194590,c_194589,c_194554,c_194553,c_194552,c_194551,c_194548,c_194547,c_194519,c_194518,c_194517,c_194515,c_194488,c_194487,c_194486,c_194457,c_194456,c_194455,c_194452,c_194398,c_194397,c_194396,c_194365,c_194364,c_194363,c_194362,c_194361,c_194312,c_194311,c_194310,c_194309,c_194307,c_194306,c_192513,c_192512,c_192508,c_192504,c_192499,c_192495,c_192493,c_192492,c_192488,c_192487,c_192486,c_192480,c_192479,c_192482,c_192483,c_192473,c_192465,c_192452,c_192451,c_192450,c_190786,c_190784,c_190847,c_190846,c_190840,c_190835,c_190830,c_190824,c_190819,c_190814,c_190808,c_192597,c_192596,c_190805,c_192588,c_190804,c_190803,c_190802,c_190801,c_190800,c_190796,c_190792,c_190798,c_190799,c_190789,c_194161,c_194154,c_194147,c_194139,c_194132,c_194127,c_194122,c_194117,c_194116,c_194110,c_194109,c_194112,c_194113,c_194103,c_194075,c_194074,c_194073,c_194072,c_194071,c_194029,c_194028,c_194027,c_194026,c_194025,c_194024,c_194023,c_194022,c_194007,c_193993,c_193990,c_193989,c_193988,c_193895,c_193845,c_193844,c_193843,c_193842,c_193841,c_193840,c_193835,c_193834,c_193831,c_193837,c_193839,c_193828,c_193827,c_193823,c_193822,c_193821,c_193820,c_193819,c_193818,c_193816,c_193804,c_193800,c_193797,c_193796,c_193795,c_193794,c_193793,c_193789,c_193788,c_193787,c_193786,c_193785,c_193777,c_193773,c_193770,c_193769,c_193768,c_193767,c_193501,c_193493,c_193492,c_193484,c_193483,c_193475,c_193474,c_193466,c_193465,c_193456,c_193447,c_193430,c_193429,c_193421,c_193420,c_193412,c_193411,c_193403,c_193402,c_193396,c_193395,c_193389,c_193388,c_193382,c_193381,c_193375,c_193374,c_193368,c_193367,c_193361,c_193360,c_193354,c_193353,c_193346,c_193345,c_193338,c_193337,c_193336,c_193335,c_193334,c_193333,c_193332,c_193331,c_193330,c_193329,c_193328,c_193327,c_193326,c_193325,c_193324,c_193323,c_193322,c_193321,c_193320,c_193319,c_193318,c_193317,c_193316,c_193315,c_193314,c_193313,c_193312,c_193311,c_193310,c_193309,c_193308,c_193307,c_193306,c_193305,c_193304,c_193097,c_193089,c_193088,c_193080,c_193079,c_193071,c_193070,c_193062,c_193061,c_193052,c_193043,c_193026,c_193025,c_193017,c_193016,c_193008,c_193007,c_192999,c_192998,c_192992,c_192991,c_192985,c_192984,c_192978,c_192977,c_192971,c_192970,c_192964,c_192963,c_192957,c_192956,c_192950,c_192949,c_192942,c_192941,c_192934,c_192933,c_192932,c_192931,c_192930,c_192929,c_192928,c_192927,c_192926,c_192925,c_192924,c_192923,c_192922,c_192921,c_192920,c_192919,c_192918,c_192917,c_192916,c_192915,c_192914,c_192913,c_192912,c_192911,c_192910,c_192909,c_192908,c_192907,c_192906,c_192905,c_192904,c_192903,c_192902,c_192901,c_192900,c_192861,c_192860,c_192859,c_192807,c_192806,c_192804,c_192803,c_192802,c_192801,c_192785,c_192739,c_192737,c_192736,c_192735,c_192734,c_192733,c_192717,c_192686,c_192685,c_192684,c_192683,c_192682,c_192681,c_192680,c_192664,c_178749,c_190870,c_192649,c_192646,c_192611,c_192605,c_192600,c_192595,c_192594,c_192593,c_192592,c_192591,c_192590,c_192589,c_192585,c_192584,c_192570,c_192564,c_192559,c_192558,c_192557,c_192556,c_192555,c_192554,c_192552,c_192371,c_192364,c_192363,c_192356,c_192355,c_192342,c_192341,c_192340,c_192339,c_192338,c_192337,c_192336,c_192335,c_192334,c_192333,c_192332,c_192331,c_192330,c_192061,c_192055,c_192054,c_192048,c_192047,c_192041,c_192040,c_192034,c_192033,c_192026,c_192019,c_192013,c_192012,c_192006,c_192005,c_191999,c_191998,c_191992,c_191991,c_191980,c_191979,c_191975,c_191974,c_191970,c_191969,c_191965,c_191964,c_191960,c_191959,c_191955,c_191954,c_191950,c_191949,c_191944,c_191943,c_191938,c_191937,c_191936,c_191935,c_191934,c_191933,c_191932,c_191931,c_191930,c_191929,c_191928,c_191927,c_191926,c_191925,c_191924,c_191923,c_191922,c_191921,c_191920,c_191919,c_191918,c_191917,c_191916,c_191915,c_191914,c_191913,c_191912,c_191911,c_191910,c_191909,c_191908,c_191907,c_191906,c_191905,c_191904,c_191625,c_191601,c_191593,c_191585,c_191577,c_191569,c_191561,c_191553,c_191545,c_191539,c_191533,c_191527,c_191521,c_191515,c_191509,c_191503,c_191496,c_191489,c_191488,c_191487,c_191486,c_191485,c_191484,c_191483,c_191482,c_191481,c_191480,c_191479,c_191478,c_191477,c_191476,c_191475,c_191474,c_191473,c_191472,c_191471,c_191470,c_191469,c_191468,c_191467,c_191466,c_191465,c_191464,c_191463,c_191462,c_191461,c_191460,c_191459,c_191458,c_191457,c_191456,c_191455,c_191454,c_191354,c_191346,c_191338,c_191330,c_191322,c_191314,c_191306,c_191300,c_191299,c_191297,c_191296,c_191295,c_191294,c_191293,c_191292,c_191291,c_191290,c_191289,c_191288,c_191287,c_191286,c_191285,c_191284,c_191283,c_191282,c_191281,c_191186,c_191128,c_191127,c_191126,c_191125,c_191124,c_191119,c_191118,c_191117,c_191116,c_191115,c_191121,c_191123,c_191112,c_191111,c_191108,c_191104,c_191098,c_191093,c_191092,c_191091,c_191090,c_191089,c_191088,c_191087,c_191061,c_191011,c_191010,c_191009,c_191008,c_191007,c_191006,c_191001,c_191000,c_190997,c_191003,c_191005,c_190994,c_190965,c_190907,c_190906,c_190905,c_190904,c_190903,c_190898,c_190897,c_190896,c_190895,c_190894,c_190900,c_190902,c_190891,c_190890,c_190886,c_190885,c_190884,c_190883,c_190882,c_190881,c_190879,c_187847,c_187846,c_187229,c_187224,c_187218,c_187213,c_187208,c_187203,c_187474,c_187201,c_187200,c_188585,c_187199,c_187198,c_187193,c_187190,c_187196,c_187197,c_187633,c_190777,c_190773,c_190770,c_190769,c_190768,c_190767,c_190559,c_190535,c_190527,c_190519,c_190511,c_190503,c_190495,c_190487,c_190479,c_190473,c_190467,c_190461,c_190455,c_190449,c_190443,c_190437,c_190430,c_190423,c_190422,c_190421,c_190420,c_190419,c_190418,c_190417,c_190416,c_190415,c_190414,c_190413,c_190412,c_190411,c_190410,c_190409,c_190408,c_190407,c_190406,c_190405,c_190404,c_190403,c_190402,c_190401,c_190400,c_190399,c_190398,c_190397,c_190396,c_190395,c_190394,c_190393,c_190392,c_190391,c_190070,c_190046,c_190038,c_190030,c_190022,c_190014,c_190006,c_189998,c_189990,c_189984,c_189978,c_189972,c_189966,c_189960,c_189954,c_189948,c_189941,c_189934,c_189933,c_189932,c_189931,c_189930,c_189929,c_189928,c_189927,c_189926,c_189925,c_189924,c_189923,c_189922,c_189921,c_189920,c_189919,c_189918,c_189917,c_189916,c_189915,c_189914,c_189913,c_189912,c_189911,c_189910,c_189909,c_189908,c_189907,c_189906,c_189905,c_189904,c_189903,c_189902,c_189901,c_189718,c_189712,c_189707,c_189705,c_189704,c_189703,c_189702,c_189701,c_189700,c_189699,c_189698,c_189697,c_189696,c_189582,c_189576,c_189571,c_189569,c_189568,c_189567,c_189566,c_189565,c_189564,c_189563,c_189562,c_189561,c_189560,c_189502,c_189495,c_189489,c_189483,c_189478,c_189472,c_189468,c_189464,c_189461,c_189459,c_189455,c_189454,c_189457,c_189458,c_189448,c_189447,c_189442,c_189439,c_189435,c_189429,c_189424,c_189423,c_189422,c_189421,c_189420,c_189419,c_189418,c_189417,c_189415,c_189414,c_189395,c_189337,c_189336,c_189335,c_189334,c_189333,c_189328,c_189327,c_189326,c_189325,c_189324,c_189330,c_189332,c_189321,c_189320,c_189317,c_189313,c_189307,c_189302,c_189301,c_189300,c_189299,c_189298,c_189297,c_189296,c_187841,c_187840,c_187183,c_187178,c_187172,c_187167,c_187162,c_187157,c_187475,c_187155,c_187154,c_188586,c_187153,c_187152,c_187147,c_187144,c_187150,c_187151,c_187634,c_187799,c_187798,c_187137,c_187132,c_187126,c_187121,c_187116,c_187112,c_187266,c_187344,c_187110,c_188593,c_187109,c_187108,c_187103,c_187100,c_187106,c_187107,c_187641,c_189151,c_189145,c_189139,c_189133,c_189128,c_189123,c_189122,c_189121,c_189120,c_189119,c_189118,c_189117,c_189116,c_189115,c_189114,c_189113,c_189112,c_189111,c_189110,c_189109,c_189108,c_189107,c_189106,c_189105,c_189104,c_189103,c_188923,c_188916,c_188909,c_188903,c_188897,c_188891,c_188885,c_188879,c_188873,c_188867,c_188861,c_188855,c_188849,c_188843,c_188837,c_188831,c_188825,c_188819,c_188813,c_188807,c_188801,c_188795,c_188789,c_188783,c_188777,c_188771,c_188765,c_188759,c_188753,c_188747,c_188741,c_188735,c_188728,c_188722,c_188716,c_188710,c_188691,c_188686,c_188681,c_188676,c_188671,c_188666,c_188661,c_188656,c_188651,c_188646,c_188641,c_188636,c_188631,c_188626,c_188621,c_188616,c_188611,c_188606,c_188605,c_188604,c_188603,c_188602,c_188601,c_188600,c_188599,c_188598,c_188597,c_188596,c_188595,c_188594,c_188592,c_188591,c_188590,c_188589,c_188588,c_188587,c_188584,c_188583,c_188582,c_188581,c_188580,c_188579,c_188578,c_188577,c_188576,c_188575,c_188574,c_188573,c_188572,c_188571,c_188570,c_188569,c_188568,c_188567,c_188566,c_188565,c_188564,c_188563,c_188562,c_188561,c_188560,c_188559,c_188558,c_188557,c_188556,c_188555,c_188554,c_188553,c_188552,c_188551,c_188550,c_188549,c_188548,c_188547,c_188546,c_188545,c_188544,c_188543,c_188542,c_188541,c_188540,c_188539,c_188538,c_188537,c_188536,c_188535,c_188534,c_188533,c_188532,c_188531,c_188530,c_188398,c_188392,c_188386,c_188380,c_188375,c_188370,c_188365,c_188364,c_188363,c_188362,c_188361,c_188360,c_188359,c_188358,c_188357,c_188356,c_188355,c_188354,c_188353,c_188352,c_188351,c_188350,c_188349,c_188348,c_188347,c_188346,c_188344,c_188081,c_188075,c_188069,c_188063,c_188045,c_188044,c_188039,c_188038,c_188033,c_188032,c_188027,c_188026,c_188021,c_188020,c_188015,c_188014,c_188009,c_188008,c_188002,c_187996,c_187990,c_187985,c_187984,c_187979,c_187978,c_187973,c_187972,c_187967,c_187966,c_187961,c_187960,c_187955,c_187954,c_187949,c_187948,c_187943,c_187942,c_187937,c_187936,c_187931,c_187930,c_187925,c_187924,c_187919,c_187918,c_187913,c_187912,c_187907,c_187906,c_187901,c_187900,c_187895,c_187894,c_187889,c_187888,c_187883,c_187882,c_187877,c_187876,c_187871,c_187870,c_187865,c_187864,c_187859,c_187858,c_187853,c_187852,c_187835,c_187834,c_187829,c_187828,c_187823,c_187822,c_187817,c_187816,c_187811,c_187810,c_187805,c_187804,c_187793,c_187792,c_187787,c_187786,c_187781,c_187780,c_187775,c_187774,c_187769,c_187768,c_187763,c_187762,c_187757,c_187756,c_187751,c_187750,c_187745,c_187744,c_187740,c_187739,c_187735,c_187734,c_187730,c_187729,c_187725,c_187724,c_187720,c_187719,c_187715,c_187714,c_187710,c_187709,c_187705,c_187704,c_187700,c_187699,c_187695,c_187694,c_187690,c_187689,c_187685,c_187684,c_187680,c_187679,c_187675,c_187674,c_187670,c_187669,c_187665,c_187664,c_187660,c_187659,c_187655,c_187654,c_187653,c_187652,c_187651,c_187650,c_187649,c_187648,c_187647,c_187646,c_187645,c_187644,c_187643,c_187642,c_187640,c_187639,c_187638,c_187637,c_187636,c_187635,c_187632,c_187631,c_187630,c_187629,c_187628,c_187627,c_187626,c_187625,c_187624,c_187623,c_187622,c_187621,c_187620,c_187619,c_187618,c_187617,c_187616,c_187615,c_187614,c_187613,c_187612,c_187611,c_187610,c_187609,c_187608,c_187607,c_187606,c_187605,c_187604,c_187603,c_187602,c_187601,c_187600,c_187599,c_187598,c_187597,c_187596,c_187595,c_187594,c_187593,c_187592,c_187591,c_187590,c_187589,c_187588,c_187587,c_187586,c_187585,c_187584,c_187583,c_187582,c_187581,c_187580,c_187579,c_187578,c_187563,c_187482,c_187479,c_187476,c_187473,c_187472,c_187462,c_178763,c_187453,c_187450,c_187406,c_187405,c_187404,c_187402,c_187401,c_187400,c_187378,c_187347,c_187346,c_187345,c_187343,c_187342,c_187341,c_187319,c_187269,c_187268,c_187267,c_187265,c_187264,c_187263,c_187241,c_186984,c_186979,c_186973,c_186968,c_186963,c_186959,c_186957,c_186956,c_186955,c_186950,c_186947,c_186953,c_186954,c_185954,c_186611,c_185229,c_185224,c_185219,c_185215,c_185213,c_185212,c_185211,c_185208,c_185205,c_185838,c_186495,c_185944,c_186601,c_185199,c_185194,c_185189,c_185185,c_185183,c_185182,c_185181,c_185178,c_185175,c_185840,c_186497,c_186064,c_186721,c_185170,c_185165,c_185162,c_185159,c_185156,c_185155,c_185152,c_185150,c_185778,c_186435,c_186808,c_186802,c_186796,c_186791,c_186786,c_186781,c_186776,c_186771,c_186766,c_186761,c_186756,c_186751,c_186746,c_186741,c_186736,c_186731,c_186726,c_186716,c_186711,c_186706,c_186701,c_186696,c_186691,c_186686,c_186681,c_186676,c_186671,c_186666,c_186661,c_186656,c_186651,c_186646,c_186641,c_186636,c_186631,c_186626,c_186621,c_186616,c_186606,c_186596,c_186591,c_186586,c_186581,c_186576,c_186572,c_186568,c_186564,c_186560,c_186556,c_186552,c_186548,c_186544,c_186540,c_186536,c_186532,c_186528,c_186524,c_186520,c_186516,c_186512,c_186508,c_186504,c_186502,c_186501,c_186500,c_186499,c_186498,c_186496,c_186494,c_186493,c_186492,c_186491,c_186490,c_186489,c_186488,c_186487,c_186486,c_186485,c_186484,c_186483,c_186482,c_186481,c_186480,c_186479,c_186478,c_186477,c_186476,c_186475,c_186474,c_186473,c_186472,c_186471,c_186470,c_186469,c_186468,c_186467,c_186466,c_186465,c_186464,c_186463,c_186462,c_186461,c_186460,c_186459,c_186458,c_186457,c_186456,c_186455,c_186454,c_186453,c_186452,c_186451,c_186450,c_186449,c_186448,c_186447,c_186446,c_186445,c_186444,c_186443,c_186442,c_186441,c_186440,c_186439,c_186438,c_186437,c_186436,c_186434,c_186151,c_186145,c_186139,c_186134,c_186129,c_186124,c_186119,c_186114,c_186109,c_186104,c_186099,c_186094,c_186089,c_186084,c_186079,c_186074,c_186069,c_186059,c_186054,c_186049,c_186044,c_186039,c_186034,c_186029,c_186024,c_186019,c_186014,c_186009,c_186004,c_185999,c_185994,c_185989,c_185984,c_185979,c_185974,c_185969,c_185964,c_185959,c_185949,c_185939,c_185934,c_185929,c_185924,c_185919,c_185915,c_185911,c_185907,c_185903,c_185899,c_185895,c_185891,c_185887,c_185883,c_185879,c_185875,c_185871,c_185867,c_185863,c_185859,c_185855,c_185851,c_185847,c_185845,c_185844,c_185843,c_185842,c_185841,c_185839,c_185837,c_185836,c_185835,c_185834,c_185833,c_185832,c_185831,c_185830,c_185829,c_185828,c_185827,c_185826,c_185825,c_185824,c_185823,c_185822,c_185821,c_185820,c_185819,c_185818,c_185817,c_185816,c_185815,c_185814,c_185813,c_185812,c_185811,c_185810,c_185809,c_185808,c_185807,c_185806,c_185805,c_185804,c_185803,c_185802,c_185801,c_185800,c_185799,c_185798,c_185797,c_185796,c_185795,c_185794,c_185793,c_185792,c_185791,c_185790,c_185789,c_185788,c_185787,c_185786,c_185785,c_185784,c_185783,c_185782,c_185781,c_185780,c_185779,c_185777,c_185589,c_185588,c_185587,c_185586,c_185585,c_185584,c_185583,c_185582,c_185581,c_185580,c_185579,c_185578,c_185577,c_185576,c_185575,c_185574,c_185573,c_185572,c_185322,c_185316,c_185315,c_185314,c_185313,c_185312,c_185311,c_185310,c_185309,c_185308,c_185307,c_185306,c_185305,c_185304,c_185303,c_185302,c_185301,c_185300,c_185299,c_185282,c_185244,c_185236,c_183432,c_183427,c_183424,c_183420,c_183419,c_183416,c_183408,c_183403,c_183400,c_183397,c_183396,c_183393,c_183385,c_183380,c_183377,c_183374,c_183373,c_183370,c_185029,c_185028,c_185027,c_185026,c_185025,c_185024,c_185023,c_185022,c_185021,c_185020,c_185019,c_185018,c_185017,c_185016,c_185015,c_185014,c_185013,c_185012,c_185011,c_185010,c_185009,c_185008,c_184924,c_184918,c_184913,c_184912,c_184911,c_184910,c_184909,c_184908,c_184907,c_184906,c_184905,c_184904,c_184903,c_184656,c_184655,c_184654,c_184653,c_184652,c_184650,c_184649,c_184647,c_184646,c_184645,c_184644,c_184643,c_184642,c_184640,c_184639,c_184638,c_184637,c_184636,c_184635,c_184634,c_184633,c_184632,c_184631,c_184630,c_184629,c_184628,c_184627,c_184626,c_184625,c_184624,c_184623,c_184622,c_184621,c_184620,c_184619,c_184618,c_184617,c_184616,c_184615,c_184614,c_184613,c_184434,c_184433,c_184432,c_184431,c_184430,c_184428,c_184427,c_184425,c_184424,c_184423,c_184422,c_184421,c_184420,c_184418,c_184417,c_184416,c_184415,c_184414,c_184413,c_184412,c_184411,c_184410,c_184409,c_184408,c_184407,c_184406,c_184405,c_184404,c_184403,c_184402,c_184401,c_184400,c_184399,c_184398,c_184397,c_184396,c_184395,c_184394,c_184393,c_184392,c_184391,c_183774,c_183773,c_183772,c_183771,c_183770,c_183768,c_183767,c_183765,c_183764,c_183763,c_183762,c_183761,c_183760,c_183758,c_183757,c_183756,c_183755,c_183754,c_183753,c_183752,c_183751,c_183750,c_183749,c_183748,c_183747,c_183746,c_183745,c_183744,c_183743,c_183742,c_183741,c_183740,c_183739,c_183738,c_183737,c_183736,c_183735,c_183734,c_183733,c_183732,c_183731,c_183724,c_183723,c_183721,c_183697,c_183656,c_183655,c_183654,c_183653,c_183651,c_183650,c_183647,c_183550,c_183549,c_183548,c_183547,c_183545,c_183544,c_183541,c_183494,c_183493,c_183492,c_183491,c_183489,c_183488,c_183485,c_183447,c_183446,c_183445,c_183444,c_183442,c_183441,c_183438,c_182106,c_182101,c_182098,c_182095,c_182094,c_182091,c_182697,c_182084,c_182079,c_182074,c_182073,c_182072,c_182071,c_182070,c_182068,c_182587,c_182691,c_182060,c_182055,c_182050,c_182049,c_182048,c_182047,c_182046,c_182044,c_182588,c_183327,c_183326,c_183325,c_183324,c_183323,c_183322,c_183321,c_183320,c_183319,c_183318,c_183317,c_183316,c_183315,c_183314,c_183313,c_183312,c_183311,c_183310,c_183309,c_183306,c_183303,c_183302,c_183301,c_183300,c_183231,c_183228,c_183225,c_183222,c_183219,c_183216,c_183213,c_183210,c_183207,c_183204,c_183203,c_183202,c_183201,c_183200,c_183199,c_183198,c_183197,c_183196,c_183195,c_183194,c_183193,c_183192,c_183191,c_183190,c_183189,c_183188,c_183187,c_183186,c_183185,c_183184,c_183183,c_183182,c_183181,c_182766,c_182765,c_182764,c_182763,c_182762,c_182761,c_182760,c_182759,c_182758,c_182757,c_182756,c_182755,c_182754,c_182753,c_182752,c_182751,c_182750,c_182749,c_182748,c_182747,c_182746,c_182745,c_182744,c_182743,c_182742,c_182741,c_182740,c_182739,c_182738,c_182737,c_182736,c_182735,c_182734,c_182733,c_182732,c_182731,c_182730,c_182729,c_182728,c_182727,c_182726,c_182725,c_182724,c_182703,c_182685,c_182679,c_182673,c_182667,c_182661,c_182655,c_182649,c_182643,c_182637,c_182631,c_182625,c_182620,c_182615,c_182610,c_182608,c_182607,c_182606,c_182602,c_182601,c_182599,c_182593,c_182592,c_182591,c_182590,c_182589,c_182586,c_182550,c_182549,c_182548,c_182542,c_182529,c_182528,c_182526,c_182270,c_182269,c_182268,c_182267,c_182266,c_182265,c_182264,c_182263,c_182262,c_182261,c_182260,c_182259,c_182258,c_182257,c_182256,c_182255,c_182254,c_182253,c_182252,c_182251,c_182250,c_182249,c_182248,c_182247,c_182246,c_182245,c_182244,c_182243,c_182242,c_182241,c_182240,c_182239,c_182238,c_182237,c_182236,c_182235,c_182234,c_182233,c_182232,c_182231,c_182230,c_182229,c_182228,c_181052,c_181047,c_181043,c_181042,c_181041,c_181039,c_181037,c_181029,c_181024,c_181020,c_181019,c_181018,c_181016,c_181014,c_180120,c_180115,c_180111,c_180110,c_180109,c_180107,c_180105,c_181990,c_181989,c_181988,c_181987,c_181986,c_181985,c_181984,c_181983,c_181982,c_181981,c_181980,c_181979,c_181978,c_181977,c_181976,c_181975,c_181974,c_181819,c_181818,c_181817,c_181816,c_181815,c_181814,c_181813,c_181812,c_181811,c_181810,c_181809,c_181808,c_181807,c_181806,c_181805,c_181804,c_181803,c_181802,c_181801,c_181800,c_181799,c_181798,c_181797,c_181796,c_181795,c_181794,c_181793,c_181759,c_181758,c_181732,c_181731,c_181729,c_181402,c_181401,c_181400,c_181399,c_181398,c_181397,c_181396,c_181395,c_181394,c_181393,c_181392,c_181391,c_181390,c_181389,c_181388,c_181387,c_181386,c_181385,c_181384,c_181383,c_181382,c_181381,c_181380,c_181379,c_181378,c_181377,c_181376,c_181375,c_181374,c_181373,c_181372,c_181371,c_181370,c_181369,c_181368,c_181367,c_181366,c_181365,c_181364,c_181363,c_181362,c_181361,c_181360,c_181159,c_181158,c_181157,c_181156,c_181155,c_181154,c_181153,c_181152,c_181151,c_181150,c_181149,c_181148,c_181147,c_181146,c_181145,c_181144,c_181143,c_181142,c_181141,c_181140,c_181139,c_181138,c_181137,c_181136,c_181135,c_181134,c_181133,c_181132,c_181131,c_181130,c_181129,c_181128,c_181127,c_181126,c_181125,c_181124,c_181123,c_181122,c_181121,c_181120,c_181119,c_181118,c_181105,c_181099,c_181094,c_181093,c_181092,c_181091,c_181078,c_181073,c_181069,c_181068,c_181067,c_181066,c_181059,c_180097,c_180092,c_180088,c_180087,c_180086,c_180084,c_180082,c_180074,c_180069,c_180066,c_180063,c_180062,c_180061,c_180057,c_180055,c_181000,c_180999,c_180998,c_180997,c_180996,c_180964,c_180961,c_180960,c_180959,c_180958,c_180957,c_180613,c_180610,c_180607,c_180604,c_180603,c_180602,c_180601,c_180600,c_180599,c_180598,c_180597,c_180596,c_180595,c_180594,c_180593,c_180592,c_180591,c_180590,c_180588,c_180587,c_180586,c_180585,c_180584,c_180583,c_180582,c_180581,c_180580,c_180579,c_180578,c_180577,c_180576,c_180575,c_180574,c_180573,c_180572,c_180571,c_180570,c_180569,c_180568,c_180567,c_180566,c_180565,c_180564,c_180563,c_180562,c_180561,c_180548,c_180546,c_180513,c_180509,c_180491,c_180490,c_180489,c_180487,c_180486,c_180484,c_180269,c_180264,c_180259,c_180254,c_180250,c_180246,c_180245,c_180244,c_180243,c_180242,c_180241,c_180240,c_180239,c_180238,c_180237,c_180236,c_180235,c_180234,c_180233,c_180232,c_180231,c_180230,c_180229,c_180228,c_180227,c_180226,c_180225,c_180224,c_180223,c_180212,c_180211,c_180209,c_180196,c_180156,c_180145,c_180142,c_179760,c_179755,c_179752,c_179751,c_179750,c_179746,c_179729,c_179724,c_179721,c_179720,c_179719,c_179715,c_179707,c_179702,c_179699,c_179698,c_179697,c_179693,c_180043,c_180042,c_180041,c_180040,c_180039,c_180019,c_180015,c_179997,c_179996,c_179995,c_179993,c_179992,c_179990,c_179952,c_179951,c_179865,c_179864,c_179863,c_179862,c_179861,c_179860,c_179859,c_179858,c_179843,c_179842,c_179840,c_179816,c_179813,c_179812,c_179811,c_179803,c_179800,c_179799,c_179798,c_179790,c_179787,c_179786,c_179785,c_179778,c_178606,c_177788,c_177785,c_177784,c_178532,c_177781,c_178601,c_177619,c_174469,c_174466,c_177575,c_178515,c_174464,c_174463,c_179679,c_179678,c_179677,c_179676,c_179675,c_179625,c_179624,c_179623,c_179622,c_179621,c_179620,c_179619,c_179618,c_179321,c_179320,c_179319,c_179317,c_179316,c_179314,c_179313,c_179312,c_179311,c_179310,c_179309,c_179307,c_179306,c_179305,c_179304,c_179303,c_179302,c_179301,c_179300,c_179299,c_179298,c_179297,c_179296,c_179295,c_179294,c_179293,c_179292,c_179291,c_179290,c_179289,c_179288,c_179287,c_179286,c_179285,c_179284,c_179283,c_179282,c_179281,c_179280,c_179265,c_179264,c_179262,c_179255,c_179254,c_179224,c_179221,c_179220,c_179219,c_179197,c_179194,c_179193,c_179192,c_179173,c_179170,c_179169,c_179168,c_179160,c_179157,c_179156,c_179155,c_178873,c_178870,c_178867,c_178864,c_178863,c_178862,c_178861,c_178860,c_178859,c_178858,c_178857,c_178856,c_178855,c_178854,c_178853,c_178852,c_178851,c_178850,c_178848,c_178847,c_178846,c_178845,c_178844,c_178843,c_178842,c_178841,c_178840,c_178839,c_178838,c_178837,c_178836,c_178835,c_178834,c_178833,c_178832,c_178831,c_178830,c_178829,c_178828,c_178827,c_178826,c_178825,c_178824,c_178823,c_178822,c_178821,c_178810,c_178787,c_178786,c_178781,c_178778,c_178775,c_178771,c_178769,c_178768,c_178765,c_178693,c_178687,c_178681,c_178676,c_178671,c_178666,c_178661,c_178656,c_178651,c_178646,c_178641,c_178636,c_178631,c_178626,c_178621,c_178616,c_178611,c_178596,c_178591,c_178586,c_178578,c_178574,c_178570,c_178566,c_178562,c_178558,c_178554,c_178550,c_178546,c_178542,c_178541,c_178540,c_178539,c_178538,c_178537,c_178533,c_178531,c_178530,c_178529,c_178528,c_178527,c_178526,c_178525,c_178518,c_178517,c_178516,c_178514,c_178513,c_178512,c_178511,c_178510,c_178509,c_178508,c_178507,c_178506,c_178505,c_178503,c_178501,c_178500,c_178499,c_178498,c_178497,c_178496,c_178490,c_178489,c_178488,c_178364,c_178360,c_178357,c_178354,c_178351,c_178348,c_178345,c_178344,c_178343,c_178342,c_178341,c_178340,c_178338,c_178336,c_178335,c_178334,c_178333,c_178332,c_178331,c_178325,c_178324,c_178323,c_178321,c_178319,c_178204,c_178199,c_178194,c_178189,c_178184,c_178179,c_178174,c_178169,c_178164,c_178159,c_178154,c_178149,c_178144,c_178136,c_178132,c_178128,c_178124,c_178120,c_178116,c_178112,c_178108,c_178104,c_178100,c_178099,c_178098,c_178097,c_178096,c_178095,c_178094,c_178093,c_178092,c_178091,c_178086,c_178085,c_178084,c_178083,c_178082,c_178081,c_178080,c_178079,c_178078,c_178077,c_178062,c_178060,c_178053,c_178052,c_178051,c_178050,c_178049,c_178048,c_178047,c_178046,c_178026,c_178023,c_178020,c_178019,c_178016,c_178013,c_178010,c_178009,c_178008,c_178007,c_178006,c_178004,c_177997,c_177996,c_177995,c_177994,c_177993,c_177992,c_177991,c_177990,c_177988,c_177986,c_177957,c_177956,c_177953,c_177950,c_177946,c_177945,c_177942,c_177939,c_177938,c_177899,c_177895,c_177894,c_177893,c_177890,c_177883,c_177879,c_177876,c_177874,c_177871,c_177869,c_177864,c_177860,c_177857,c_177855,c_177852,c_177850,c_177845,c_177841,c_177838,c_177836,c_177833,c_177831,c_177826,c_177822,c_177819,c_177817,c_177814,c_177812,c_177807,c_177803,c_177800,c_177798,c_177795,c_177793,c_177609,c_175583,c_175580,c_177577,c_175578,c_175577,c_177716,c_177711,c_177710,c_177709,c_177708,c_177707,c_177706,c_177705,c_177704,c_177703,c_177702,c_177671,c_177665,c_177659,c_177654,c_177649,c_177644,c_177639,c_177634,c_177629,c_177624,c_177614,c_177604,c_177600,c_177596,c_177592,c_177590,c_177589,c_177588,c_177587,c_177586,c_177585,c_177584,c_177578,c_177576,c_177574,c_177573,c_177572,c_177550,c_177549,c_177548,c_177532,c_177527,c_177523,c_177519,c_177518,c_177511,c_177477,c_177476,c_177475,c_177452,c_177451,c_177438,c_177437,c_177434,c_177431,c_177429,c_177428,c_177425,c_177421,c_177418,c_177415,c_177413,c_177371,c_177369,c_177362,c_177359,c_177357,c_177355,c_177350,c_177347,c_177345,c_177343,c_177338,c_177335,c_177333,c_177331,c_177326,c_177323,c_177321,c_177319,c_177314,c_177311,c_177309,c_177307,c_177302,c_177299,c_177297,c_177295,c_176164,c_177155,c_177154,c_177153,c_177152,c_177151,c_177150,c_177149,c_177148,c_177147,c_177146,c_177145,c_177142,c_177141,c_177140,c_177139,c_177138,c_177137,c_177136,c_177135,c_177134,c_177133,c_177132,c_177131,c_177130,c_177129,c_177128,c_177127,c_177126,c_177125,c_177124,c_177123,c_177122,c_177121,c_177120,c_177119,c_177118,c_177117,c_177116,c_177115,c_177114,c_177099,c_177098,c_177097,c_177096,c_177095,c_177094,c_177093,c_177092,c_177091,c_177090,c_177089,c_177086,c_177085,c_177084,c_177083,c_177082,c_177081,c_177080,c_177079,c_177078,c_177077,c_177076,c_177075,c_177074,c_177073,c_177072,c_177071,c_177070,c_177069,c_177068,c_177067,c_177066,c_177065,c_177064,c_177063,c_177062,c_177061,c_177060,c_177059,c_177058,c_177038,c_177037,c_174461,c_176916,c_176980,c_176979,c_176976,c_176973,c_176971,c_176970,c_176968,c_175048,c_175045,c_175043,c_175042,c_176942,c_176937,c_176932,c_176924,c_176923,c_176921,c_176920,c_176919,c_175568,c_175567,c_175564,c_175562,c_175554,c_176158,c_175040,c_175575,c_176913,c_176912,c_176909,c_176877,c_176876,c_176875,c_176829,c_176828,c_176827,c_176826,c_176825,c_176824,c_176726,c_176725,c_176724,c_176723,c_176722,c_176721,c_176410,c_176409,c_176408,c_176407,c_176406,c_176405,c_176404,c_176403,c_176402,c_176401,c_176400,c_176399,c_176398,c_176397,c_176396,c_176395,c_176394,c_176393,c_176392,c_176391,c_176390,c_176389,c_176388,c_176387,c_176386,c_176375,c_176372,c_176370,c_176369,c_176367,c_176349,c_176348,c_176346,c_176326,c_176325,c_176323,c_176303,c_176302,c_176300,c_176280,c_176279,c_176277,c_176257,c_176256,c_176254,c_176206,c_176205,c_176203,c_173127,c_176156,c_175840,c_175839,c_175838,c_175837,c_175836,c_175835,c_175834,c_175833,c_175832,c_175831,c_175830,c_175829,c_175828,c_175826,c_175825,c_175824,c_175823,c_175822,c_175821,c_175820,c_175819,c_175818,c_175817,c_175816,c_175815,c_175814,c_175813,c_175812,c_175811,c_175810,c_175809,c_175808,c_175807,c_175806,c_175805,c_175804,c_175803,c_175802,c_175801,c_175800,c_175799,c_175650,c_175649,c_175648,c_175647,c_175646,c_175645,c_175644,c_175643,c_175642,c_175641,c_175640,c_175639,c_175638,c_175637,c_175635,c_175634,c_175633,c_175632,c_175631,c_175630,c_175629,c_175628,c_175627,c_175626,c_175625,c_175624,c_175623,c_175622,c_175621,c_175620,c_175619,c_175618,c_175617,c_175616,c_175615,c_175614,c_175613,c_175612,c_175611,c_175610,c_175609,c_175608,c_175384,c_175383,c_175380,c_175377,c_175369,c_175367,c_175366,c_175365,c_175363,c_175361,c_175494,c_175493,c_175492,c_175491,c_175490,c_175489,c_175488,c_175487,c_175486,c_175485,c_175478,c_175477,c_175448,c_175447,c_175446,c_175445,c_175444,c_175443,c_175442,c_175441,c_175440,c_175439,c_175432,c_175431,c_175402,c_175401,c_175400,c_175399,c_175398,c_175397,c_175396,c_175395,c_175394,c_175393,c_173637,c_173636,c_173613,c_175313,c_175312,c_175311,c_175310,c_175309,c_175308,c_175307,c_175306,c_175305,c_175304,c_175216,c_175215,c_175214,c_175213,c_175212,c_175211,c_175210,c_175209,c_175208,c_175207,c_175141,c_175140,c_175139,c_175138,c_175137,c_175136,c_175135,c_175134,c_175133,c_175132,c_175068,c_175067,c_175066,c_175065,c_175064,c_175063,c_175062,c_175061,c_175060,c_175059,c_175037,c_175036,c_175016,c_175015,c_175014,c_175013,c_175006,c_175005,c_174984,c_174983,c_174982,c_174981,c_174974,c_174973,c_174952,c_174951,c_174950,c_174949,c_174942,c_174941,c_174885,c_174884,c_174883,c_174882,c_174881,c_174880,c_174879,c_174878,c_174877,c_174876,c_174702,c_174701,c_174700,c_174699,c_174698,c_174697,c_174696,c_174695,c_174694,c_174693,c_174692,c_174691,c_174689,c_174688,c_174687,c_174686,c_174685,c_174684,c_174683,c_174682,c_174681,c_174680,c_174679,c_174678,c_174677,c_174676,c_174675,c_174674,c_174673,c_174672,c_174671,c_174670,c_174669,c_174668,c_174667,c_174513,c_174512,c_174511,c_174510,c_174509,c_174508,c_174507,c_174506,c_174505,c_174504,c_174503,c_174502,c_174500,c_174499,c_174498,c_174497,c_174496,c_174495,c_174494,c_174493,c_174492,c_174491,c_174490,c_174489,c_174488,c_174487,c_174486,c_174485,c_174484,c_174483,c_174482,c_174481,c_174480,c_174479,c_174478,c_174454,c_174453,c_174450,c_174447,c_174445,c_174444,c_174443,c_174440,c_174439,c_174436,c_174433,c_174431,c_174430,c_174429,c_174426,c_174425,c_174422,c_174419,c_174417,c_174416,c_174415,c_174313,c_174312,c_174311,c_174310,c_174309,c_174308,c_174307,c_174306,c_174305,c_174304,c_174303,c_174302,c_174301,c_174300,c_174299,c_174298,c_174297,c_174296,c_174295,c_174294,c_174293,c_174292,c_174291,c_174290,c_174289,c_174288,c_174287,c_174286,c_174285,c_174284,c_174283,c_174282,c_174281,c_174280,c_174272,c_174268,c_174266,c_174265,c_174225,c_174224,c_174212,c_174208,c_174206,c_174205,c_174100,c_174099,c_174098,c_174097,c_174096,c_174095,c_174094,c_174093,c_174092,c_174091,c_174090,c_174089,c_174088,c_174087,c_174086,c_174085,c_174084,c_174083,c_174082,c_174081,c_174080,c_174079,c_174078,c_174077,c_174076,c_174075,c_174074,c_174073,c_174072,c_174071,c_174070,c_174069,c_174068,c_174067,c_174066,c_173953,c_173952,c_173951,c_173950,c_173949,c_173948,c_173947,c_173946,c_173945,c_173944,c_173943,c_173942,c_173941,c_173940,c_173939,c_173938,c_173937,c_173936,c_173935,c_173934,c_173933,c_173932,c_173931,c_173930,c_173929,c_173928,c_173927,c_173926,c_173925,c_173924,c_173923,c_173922,c_173921,c_173920,c_173919,c_173821,c_173820,c_173819,c_173818,c_173817,c_173816,c_173815,c_173814,c_173813,c_173812,c_173811,c_173810,c_173809,c_173808,c_173807,c_173806,c_173805,c_173804,c_173803,c_173802,c_173801,c_173700,c_173699,c_173698,c_173697,c_173696,c_173695,c_173694,c_173693,c_173692,c_173691,c_173690,c_173689,c_173688,c_173687,c_173686,c_173685,c_173684,c_173683,c_173682,c_173681,c_173680,c_173666,c_173665,c_173655,c_173651,c_173649,c_173648,c_173631,c_173630,c_173607,c_173614,c_173589,c_173586,c_173583,c_173580,c_173577,c_173574,c_173571,c_173570,c_173569,c_173568,c_173567,c_173566,c_173565,c_173564,c_173563,c_173562,c_173561,c_173560,c_173559,c_173558,c_173557,c_173556,c_173555,c_173554,c_173553,c_173552,c_173551,c_173550,c_173549,c_173548,c_173547,c_173546,c_173545,c_173544,c_173543,c_173542,c_173541,c_173540,c_173539,c_173538,c_173537,c_173536,c_173535,c_173534,c_173533,c_173532,c_173531,c_173530,c_173391,c_173390,c_173389,c_173388,c_173387,c_173386,c_173385,c_173384,c_173383,c_173382,c_173380,c_173379,c_173378,c_173377,c_173376,c_173375,c_173374,c_173373,c_173372,c_173371,c_173370,c_173369,c_173368,c_173367,c_173366,c_173365,c_173364,c_173363,c_173362,c_173361,c_173360,c_173359,c_173358,c_173349,c_173346,c_173343,c_173340,c_173337,c_173334,c_173331,c_173330,c_173329,c_173328,c_173327,c_173326,c_173325,c_173324,c_173323,c_173322,c_173321,c_173320,c_173319,c_173318,c_173317,c_173316,c_173315,c_173314,c_173313,c_173312,c_173311,c_173310,c_173309,c_173308,c_173307,c_173306,c_173305,c_173304,c_173303,c_173302,c_173301,c_173300,c_173299,c_173298,c_173297,c_173296,c_173295,c_173294,c_173293,c_173292,c_173291,c_173290,c_173183,c_173182,c_173181,c_173180,c_173179,c_173178,c_173177,c_173176,c_173175,c_173174,c_173173,c_173172,c_173171,c_173170,c_173169,c_173168,c_173167,c_173166,c_173165,c_173164,c_173163,c_172997,c_172996,c_172995,c_172994,c_172993,c_172992,c_172991,c_172990,c_172989,c_172987,c_172986,c_172985,c_172984,c_172983,c_172982,c_172981,c_172980,c_172979,c_172978,c_172977,c_172976,c_172975,c_172974,c_172973,c_172972,c_172971,c_172970,c_172969,c_172968,c_172967,c_172966,c_172965,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_172855,c_172854,c_172853,c_172852,c_172851,c_172850,c_172849,c_172848,c_172847,c_172846,c_172845,c_172844,c_172843,c_172842,c_172841,c_172840,c_172839,c_172838,c_172837,c_172836,c_172835,c_172834,c_172827,c_172826,c_172825,c_172824,c_172817,c_172816,c_172805,c_172311,c_172309,c_172792,c_172791,c_172787,c_172786,c_172774,c_172773,c_172759,c_172758,c_172683,c_172682,c_172681,c_172680,c_172679,c_172678,c_172677,c_172676,c_172675,c_172674,c_172673,c_172672,c_172671,c_172670,c_172669,c_172668,c_172667,c_172666,c_172665,c_172664,c_172651,c_172650,c_172649,c_172648,c_172647,c_172634,c_172633,c_172620,c_172619,c_172618,c_172617,c_172555,c_172554,c_172553,c_172552,c_172550,c_172549,c_172548,c_172547,c_172546,c_172545,c_172544,c_172543,c_172542,c_172541,c_172540,c_172539,c_172538,c_172537,c_172536,c_172535,c_172534,c_172533,c_172532,c_172531,c_172530,c_172470,c_172469,c_172468,c_172467,c_172465,c_172464,c_172463,c_172462,c_172461,c_172460,c_172459,c_172458,c_172457,c_172456,c_172455,c_172454,c_172453,c_172452,c_172451,c_172450,c_172449,c_172448,c_172447,c_172446,c_172445,c_172306,c_172305,c_172301,c_172300,c_172299,c_172272,c_172271,c_172263,c_172262,c_172261,c_172250,c_172249,c_172244,c_172243,c_172238,c_172237,c_172130,c_172129,c_12921,c_12920,c_12919,c_12918,c_12917,c_190390,c_189896,c_191450,c_12922,c_173629,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
% 0.00/0.02 % Problem : SWC174+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 16:48:39 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 106.33/17.46 % SZS status Started for theBenchmark.p
% 106.33/17.46 % SZS status Theorem for theBenchmark.p
% 106.33/17.46
% 106.33/17.46 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 106.33/17.46
% 106.33/17.46 % ------ iProver source info
% 106.33/17.46
% 106.33/17.46 % git: date: 2026-07-19 20:42:38 +0200
% 106.33/17.46 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 106.33/17.46 % git: non_committed_changes: false
% 106.33/17.46
% 106.33/17.46 % ------ Parsing...
% 106.33/17.46 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 106.33/17.46
% 106.33/17.46 % ------ 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 %
% 106.33/17.46
% 106.33/17.46 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 106.33/17.46
% 106.33/17.46 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 106.33/17.46 % ------ Proving...
% 106.33/17.46 % ------ Problem Properties
% 106.33/17.46
% 106.33/17.46 %
% 106.33/17.46 % clauses 192
% 106.33/17.46 % conjectures 6
% 106.33/17.46 % EPR 57
% 106.33/17.46 % Horn 124
% 106.33/17.46 % unary 28
% 106.33/17.46 % binary 40
% 106.33/17.46 % lits 630
% 106.33/17.46 % lits eq 84
% 106.33/17.46 % fd_pure 0
% 106.33/17.46 % fd_pseudo 0
% 106.33/17.46 % fd_cond 21
% 106.33/17.46 % fd_pseudo_cond 14
% 106.33/17.46 % AC symbols 0
% 106.33/17.46
% 106.33/17.46 % ------ Schedule dynamic 5 is on
% 106.33/17.46
% 106.33/17.46 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 106.33/17.46
% 106.33/17.46
% 106.33/17.46 % ------
% 106.33/17.46 % Current options:
% 106.33/17.46 % ------
% 106.33/17.46
% 106.33/17.46
% 106.33/17.46 %
% 106.33/17.46
% 106.33/17.46 % ------ Proving...
% 106.33/17.46 % Proof_search_loop: time out after: 6423 full_loop iterations
% 106.33/17.46
% 106.33/17.46 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 106.33/17.46
% 106.33/17.46
% 106.33/17.46 % ------
% 106.33/17.46 % Current options:
% 106.33/17.46 % ------
% 106.33/17.46
% 106.33/17.46
% 106.33/17.46 %
% 106.33/17.46
% 106.33/17.46 % ------ Proving...
% 106.33/17.46 %
% 106.33/17.46
% 106.33/17.46 % SZS status Theorem for theBenchmark.p
% 106.33/17.46
% 106.33/17.46 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 123.70/17.73
% 123.70/17.73
%------------------------------------------------------------------------------