%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC095+1 : TPTP v9.2.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:18:15 PM UTC 2026
% Result : Theorem 0.23s 1.52s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 190)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ~ ssList(X4)
| X2 != X4
| X1 != X3
| ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& app(app(X5,X6),X7) = X1
& app(X5,X7) = X2 ) ) )
| ! [X8] :
( ssList(X8)
=> ! [X9] :
( ssList(X9)
=> ! [X10] :
( ~ ssList(X10)
| app(app(X8,X9),X10) != X3
| app(X8,X10) != X4 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(ax94,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( gt(X1,X2)
=> ~ gt(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax94) ).
fof(ax33,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( lt(X1,X2)
=> ~ lt(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax33) ).
fof(ax90,axiom,
! [X1] :
( ssItem(X1)
=> ~ lt(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax90) ).
fof(ax38,axiom,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).
fof(ax8,axiom,
! [X1] :
( ssList(X1)
=> ( cyclefreeP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> ~ ( leq(X2,X3)
& leq(X3,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax8) ).
fof(ax10,axiom,
! [X1] :
( ssList(X1)
=> ( strictorderP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> ( lt(X2,X3)
| lt(X3,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax10) ).
fof(ax9,axiom,
! [X1] :
( ssList(X1)
=> ( totalorderP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> ( leq(X2,X3)
| leq(X3,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax9) ).
fof(ax12,axiom,
! [X1] :
( ssList(X1)
=> ( strictorderedP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> lt(X2,X3) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax12) ).
fof(ax11,axiom,
! [X1] :
( ssList(X1)
=> ( totalorderedP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> leq(X2,X3) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax11) ).
fof(ax13,axiom,
! [X1] :
( ssList(X1)
=> ( duplicatefreeP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> X2 != X3 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax13) ).
fof(ax14,axiom,
! [X1] :
( ssList(X1)
=> ( equalelemsP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(X4,cons(X2,cons(X3,X5))) = X1
=> X2 = X3 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax14) ).
fof(ax7,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( segmentP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(app(X3,X2),X4) = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).
fof(ax3,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ( memberP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(X3,cons(X2,X4)) = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax3) ).
fof(ax44,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( frontsegP(cons(X1,X3),cons(X2,X4))
<=> ( X1 = X2
& frontsegP(X3,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax44) ).
fof(ax56,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( segmentP(X1,X2)
=> segmentP(app(app(X3,X1),X4),X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax56) ).
fof(ax36,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( memberP(app(X2,X3),X1)
<=> ( memberP(X2,X1)
| memberP(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax36) ).
fof(ax37,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ( memberP(cons(X2,X3),X1)
<=> ( X1 = X2
| memberP(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax37) ).
fof(ax82,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax82) ).
fof(ax27,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssItem(X3)
=> cons(X3,app(X2,X1)) = app(cons(X3,X2),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax27) ).
fof(ax70,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( strictorderedP(cons(X1,X2))
<=> ( nil = X2
| ( nil != X2
& strictorderedP(X2)
& lt(X1,hd(X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax70) ).
fof(ax67,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( totalorderedP(cons(X1,X2))
<=> ( nil = X2
| ( nil != X2
& totalorderedP(X2)
& leq(X1,hd(X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax67) ).
fof(ax50,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( rearsegP(X1,X2)
=> rearsegP(app(X3,X1),X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax50) ).
fof(ax43,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( frontsegP(X1,X2)
=> frontsegP(app(X1,X3),X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax43) ).
fof(ax95,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( ( gt(X1,X2)
& gt(X2,X3) )
=> gt(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax95) ).
fof(ax88,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( ( geq(X1,X2)
& geq(X2,X3) )
=> geq(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax88) ).
fof(ax34,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( ( lt(X1,X2)
& lt(X2,X3) )
=> lt(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax34) ).
fof(ax91,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( ( leq(X1,X2)
& lt(X2,X3) )
=> lt(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax91) ).
fof(ax30,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( ( leq(X1,X2)
& leq(X2,X3) )
=> leq(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax30) ).
fof(ax53,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( segmentP(X1,X2)
& segmentP(X2,X3) )
=> segmentP(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax53) ).
fof(ax47,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( rearsegP(X1,X2)
& rearsegP(X2,X3) )
=> rearsegP(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax47) ).
fof(ax40,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( frontsegP(X1,X2)
& frontsegP(X2,X3) )
=> frontsegP(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax40) ).
fof(ax6,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( rearsegP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& app(X3,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax6) ).
fof(ax5,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& app(X2,X3) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax5) ).
fof(ax19,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssItem(X4)
=> ( cons(X3,X1) = cons(X4,X2)
=> ( X3 = X4
& X2 = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax19) ).
fof(ax79,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( app(X3,X2) = app(X1,X2)
=> X3 = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax79) ).
fof(ax80,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( app(X2,X3) = app(X2,X1)
=> X3 = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax80) ).
fof(ax86,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil != X1
=> tl(app(X1,X2)) = app(tl(X1),X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax86) ).
fof(ax81,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,X1) = app(cons(X2,nil),X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(ax54,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X1,X2)
& segmentP(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax54) ).
fof(ax48,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( rearsegP(X1,X2)
& rearsegP(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax48) ).
fof(ax41,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( frontsegP(X1,X2)
& frontsegP(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax41) ).
fof(ax87,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( geq(X1,X2)
& geq(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax87) ).
fof(ax29,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( leq(X1,X2)
& leq(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax29) ).
fof(ax93,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( lt(X1,X2)
<=> ( X1 != X2
& leq(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax93) ).
fof(ax92,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( leq(X1,X2)
=> ( X1 = X2
| lt(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax92) ).
fof(ax35,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( gt(X1,X2)
<=> lt(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax35) ).
fof(ax32,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( geq(X1,X2)
<=> leq(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax32) ).
fof(ax85,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil != X1
=> hd(app(X1,X2)) = hd(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax85) ).
fof(ax77,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( nil != X2
& nil != X1
& hd(X2) = hd(X1)
& tl(X2) = tl(X1) )
=> X2 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax77) ).
fof(ax25,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> tl(cons(X2,X1)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax25) ).
fof(ax23,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> hd(cons(X2,X1)) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax23) ).
fof(ax26,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(ax16,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ssList(cons(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(ax15,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(ax1,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax1) ).
fof(ax4,axiom,
! [X1] :
( ssList(X1)
=> ( singletonP(X1)
<=> ? [X2] :
( ssItem(X2)
& cons(X2,nil) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax4) ).
fof(ax83,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil = app(X1,X2)
<=> ( nil = X2
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).
fof(ax18,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,X1) != X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax18) ).
fof(ax21,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> nil != cons(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax21) ).
fof(ax20,axiom,
! [X1] :
( ssList(X1)
=> ( nil = X1
| ? [X2] :
( ssList(X2)
& ? [X3] :
( ssItem(X3)
& cons(X3,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax20) ).
fof(ax78,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> cons(hd(X1),tl(X1)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax78) ).
fof(ax73,axiom,
! [X1] :
( ssItem(X1)
=> equalelemsP(cons(X1,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax73) ).
fof(ax71,axiom,
! [X1] :
( ssItem(X1)
=> duplicatefreeP(cons(X1,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax71) ).
fof(ax68,axiom,
! [X1] :
( ssItem(X1)
=> strictorderedP(cons(X1,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax68) ).
fof(ax65,axiom,
! [X1] :
( ssItem(X1)
=> totalorderedP(cons(X1,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax65) ).
fof(ax63,axiom,
! [X1] :
( ssItem(X1)
=> strictorderP(cons(X1,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax63) ).
fof(ax61,axiom,
! [X1] :
( ssItem(X1)
=> totalorderP(cons(X1,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax61) ).
fof(ax59,axiom,
! [X1] :
( ssItem(X1)
=> cyclefreeP(cons(X1,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax59) ).
fof(ax58,axiom,
! [X1] :
( ssList(X1)
=> ( segmentP(nil,X1)
<=> nil = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax58) ).
fof(ax52,axiom,
! [X1] :
( ssList(X1)
=> ( rearsegP(nil,X1)
<=> nil = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax52) ).
fof(ax46,axiom,
! [X1] :
( ssList(X1)
=> ( frontsegP(nil,X1)
<=> nil = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax46) ).
fof(ax89,axiom,
! [X1] :
( ssItem(X1)
=> geq(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax89) ).
fof(ax31,axiom,
! [X1] :
( ssItem(X1)
=> leq(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax31) ).
fof(ax55,axiom,
! [X1] :
( ssList(X1)
=> segmentP(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax55) ).
fof(ax49,axiom,
! [X1] :
( ssList(X1)
=> rearsegP(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax49) ).
fof(ax42,axiom,
! [X1] :
( ssList(X1)
=> frontsegP(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax42) ).
fof(ax28,axiom,
! [X1] :
( ssList(X1)
=> app(nil,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(ax84,axiom,
! [X1] :
( ssList(X1)
=> app(X1,nil) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(ax57,axiom,
! [X1] :
( ssList(X1)
=> segmentP(X1,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax57) ).
fof(ax51,axiom,
! [X1] :
( ssList(X1)
=> rearsegP(X1,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax51) ).
fof(ax45,axiom,
! [X1] :
( ssList(X1)
=> frontsegP(X1,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax45) ).
fof(ax76,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ? [X2] :
( ssList(X2)
& tl(X1) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax76) ).
fof(ax24,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssList(tl(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(ax75,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ? [X2] :
( ssItem(X2)
& hd(X1) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax75) ).
fof(ax22,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssItem(hd(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax22) ).
fof(ax39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax39) ).
fof(ax2,axiom,
? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& X1 != X2 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax2) ).
fof(ax74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax74) ).
fof(ax72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax72) ).
fof(ax69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax69) ).
fof(ax66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax66) ).
fof(ax64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax64) ).
fof(ax62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax62) ).
fof(ax60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax60) ).
fof(ax17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(i_0_96,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ~ ssList(X4)
| X2 != X4
| X1 != X3
| ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& app(app(X5,X6),X7) = X1
& app(X5,X7) = X2 ) ) )
| ! [X8] :
( ssList(X8)
=> ! [X9] :
( ssList(X9)
=> ! [X10] :
( ~ ssList(X10)
| app(app(X8,X9),X10) != X3
| app(X8,X10) != X4 ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
fof(i_0_97,plain,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( gt(X1,X2)
=> ~ gt(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[ax94]) ).
fof(i_0_98,plain,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( lt(X1,X2)
=> ~ lt(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[ax33]) ).
fof(i_0_99,plain,
! [X1] :
( ssItem(X1)
=> ~ lt(X1,X1) ),
inference(fof_simplification,[status(thm)],[ax90]) ).
fof(i_0_100,plain,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
inference(fof_simplification,[status(thm)],[ax38]) ).
fof(i_0_101,plain,
! [X251,X252,X253,X254,X255,X256] :
( ( ~ cyclefreeP(X251)
| ~ ssItem(X252)
| ~ ssItem(X253)
| ~ ssList(X254)
| ~ ssList(X255)
| ~ ssList(X256)
| app(app(X254,cons(X252,X255)),cons(X253,X256)) != X251
| ~ leq(X252,X253)
| ~ leq(X253,X252)
| ~ ssList(X251) )
& ( ssItem(esk10_1(X251))
| cyclefreeP(X251)
| ~ ssList(X251) )
& ( ssItem(esk11_1(X251))
| cyclefreeP(X251)
| ~ ssList(X251) )
& ( ssList(esk12_1(X251))
| cyclefreeP(X251)
| ~ ssList(X251) )
& ( ssList(esk13_1(X251))
| cyclefreeP(X251)
| ~ ssList(X251) )
& ( ssList(esk14_1(X251))
| cyclefreeP(X251)
| ~ ssList(X251) )
& ( app(app(esk12_1(X251),cons(esk10_1(X251),esk13_1(X251))),cons(esk11_1(X251),esk14_1(X251))) = X251
| cyclefreeP(X251)
| ~ ssList(X251) )
& ( leq(esk10_1(X251),esk11_1(X251))
| cyclefreeP(X251)
| ~ ssList(X251) )
& ( leq(esk11_1(X251),esk10_1(X251))
| cyclefreeP(X251)
| ~ ssList(X251) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax8])])])])]) ).
fof(i_0_102,plain,
! [X273,X274,X275,X276,X277,X278] :
( ( ~ strictorderP(X273)
| ~ ssItem(X274)
| ~ ssItem(X275)
| ~ ssList(X276)
| ~ ssList(X277)
| ~ ssList(X278)
| app(app(X276,cons(X274,X277)),cons(X275,X278)) != X273
| lt(X274,X275)
| lt(X275,X274)
| ~ ssList(X273) )
& ( ssItem(esk20_1(X273))
| strictorderP(X273)
| ~ ssList(X273) )
& ( ssItem(esk21_1(X273))
| strictorderP(X273)
| ~ ssList(X273) )
& ( ssList(esk22_1(X273))
| strictorderP(X273)
| ~ ssList(X273) )
& ( ssList(esk23_1(X273))
| strictorderP(X273)
| ~ ssList(X273) )
& ( ssList(esk24_1(X273))
| strictorderP(X273)
| ~ ssList(X273) )
& ( app(app(esk22_1(X273),cons(esk20_1(X273),esk23_1(X273))),cons(esk21_1(X273),esk24_1(X273))) = X273
| strictorderP(X273)
| ~ ssList(X273) )
& ( ~ lt(esk20_1(X273),esk21_1(X273))
| strictorderP(X273)
| ~ ssList(X273) )
& ( ~ lt(esk21_1(X273),esk20_1(X273))
| strictorderP(X273)
| ~ ssList(X273) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax10])])])])]) ).
fof(i_0_103,plain,
! [X262,X263,X264,X265,X266,X267] :
( ( ~ totalorderP(X262)
| ~ ssItem(X263)
| ~ ssItem(X264)
| ~ ssList(X265)
| ~ ssList(X266)
| ~ ssList(X267)
| app(app(X265,cons(X263,X266)),cons(X264,X267)) != X262
| leq(X263,X264)
| leq(X264,X263)
| ~ ssList(X262) )
& ( ssItem(esk15_1(X262))
| totalorderP(X262)
| ~ ssList(X262) )
& ( ssItem(esk16_1(X262))
| totalorderP(X262)
| ~ ssList(X262) )
& ( ssList(esk17_1(X262))
| totalorderP(X262)
| ~ ssList(X262) )
& ( ssList(esk18_1(X262))
| totalorderP(X262)
| ~ ssList(X262) )
& ( ssList(esk19_1(X262))
| totalorderP(X262)
| ~ ssList(X262) )
& ( app(app(esk17_1(X262),cons(esk15_1(X262),esk18_1(X262))),cons(esk16_1(X262),esk19_1(X262))) = X262
| totalorderP(X262)
| ~ ssList(X262) )
& ( ~ leq(esk15_1(X262),esk16_1(X262))
| totalorderP(X262)
| ~ ssList(X262) )
& ( ~ leq(esk16_1(X262),esk15_1(X262))
| totalorderP(X262)
| ~ ssList(X262) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax9])])])])]) ).
fof(i_0_104,plain,
! [X295,X296,X297,X298,X299,X300] :
( ( ~ strictorderedP(X295)
| ~ ssItem(X296)
| ~ ssItem(X297)
| ~ ssList(X298)
| ~ ssList(X299)
| ~ ssList(X300)
| app(app(X298,cons(X296,X299)),cons(X297,X300)) != X295
| lt(X296,X297)
| ~ ssList(X295) )
& ( ssItem(esk30_1(X295))
| strictorderedP(X295)
| ~ ssList(X295) )
& ( ssItem(esk31_1(X295))
| strictorderedP(X295)
| ~ ssList(X295) )
& ( ssList(esk32_1(X295))
| strictorderedP(X295)
| ~ ssList(X295) )
& ( ssList(esk33_1(X295))
| strictorderedP(X295)
| ~ ssList(X295) )
& ( ssList(esk34_1(X295))
| strictorderedP(X295)
| ~ ssList(X295) )
& ( app(app(esk32_1(X295),cons(esk30_1(X295),esk33_1(X295))),cons(esk31_1(X295),esk34_1(X295))) = X295
| strictorderedP(X295)
| ~ ssList(X295) )
& ( ~ lt(esk30_1(X295),esk31_1(X295))
| strictorderedP(X295)
| ~ ssList(X295) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax12])])])])]) ).
fof(i_0_105,plain,
! [X284,X285,X286,X287,X288,X289] :
( ( ~ totalorderedP(X284)
| ~ ssItem(X285)
| ~ ssItem(X286)
| ~ ssList(X287)
| ~ ssList(X288)
| ~ ssList(X289)
| app(app(X287,cons(X285,X288)),cons(X286,X289)) != X284
| leq(X285,X286)
| ~ ssList(X284) )
& ( ssItem(esk25_1(X284))
| totalorderedP(X284)
| ~ ssList(X284) )
& ( ssItem(esk26_1(X284))
| totalorderedP(X284)
| ~ ssList(X284) )
& ( ssList(esk27_1(X284))
| totalorderedP(X284)
| ~ ssList(X284) )
& ( ssList(esk28_1(X284))
| totalorderedP(X284)
| ~ ssList(X284) )
& ( ssList(esk29_1(X284))
| totalorderedP(X284)
| ~ ssList(X284) )
& ( app(app(esk27_1(X284),cons(esk25_1(X284),esk28_1(X284))),cons(esk26_1(X284),esk29_1(X284))) = X284
| totalorderedP(X284)
| ~ ssList(X284) )
& ( ~ leq(esk25_1(X284),esk26_1(X284))
| totalorderedP(X284)
| ~ ssList(X284) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax11])])])])]) ).
fof(i_0_106,plain,
! [X306,X307,X308,X309,X310,X311] :
( ( ~ duplicatefreeP(X306)
| ~ ssItem(X307)
| ~ ssItem(X308)
| ~ ssList(X309)
| ~ ssList(X310)
| ~ ssList(X311)
| app(app(X309,cons(X307,X310)),cons(X308,X311)) != X306
| X307 != X308
| ~ ssList(X306) )
& ( ssItem(esk35_1(X306))
| duplicatefreeP(X306)
| ~ ssList(X306) )
& ( ssItem(esk36_1(X306))
| duplicatefreeP(X306)
| ~ ssList(X306) )
& ( ssList(esk37_1(X306))
| duplicatefreeP(X306)
| ~ ssList(X306) )
& ( ssList(esk38_1(X306))
| duplicatefreeP(X306)
| ~ ssList(X306) )
& ( ssList(esk39_1(X306))
| duplicatefreeP(X306)
| ~ ssList(X306) )
& ( app(app(esk37_1(X306),cons(esk35_1(X306),esk38_1(X306))),cons(esk36_1(X306),esk39_1(X306))) = X306
| duplicatefreeP(X306)
| ~ ssList(X306) )
& ( esk35_1(X306) = esk36_1(X306)
| duplicatefreeP(X306)
| ~ ssList(X306) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax13])])])])]) ).
fof(i_0_107,plain,
! [X317,X318,X319,X320,X321] :
( ( ~ equalelemsP(X317)
| ~ ssItem(X318)
| ~ ssItem(X319)
| ~ ssList(X320)
| ~ ssList(X321)
| app(X320,cons(X318,cons(X319,X321))) != X317
| X318 = X319
| ~ ssList(X317) )
& ( ssItem(esk40_1(X317))
| equalelemsP(X317)
| ~ ssList(X317) )
& ( ssItem(esk41_1(X317))
| equalelemsP(X317)
| ~ ssList(X317) )
& ( ssList(esk42_1(X317))
| equalelemsP(X317)
| ~ ssList(X317) )
& ( ssList(esk43_1(X317))
| equalelemsP(X317)
| ~ ssList(X317) )
& ( app(esk42_1(X317),cons(esk40_1(X317),cons(esk41_1(X317),esk43_1(X317)))) = X317
| equalelemsP(X317)
| ~ ssList(X317) )
& ( esk40_1(X317) != esk41_1(X317)
| equalelemsP(X317)
| ~ ssList(X317) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax14])])])])]) ).
fof(i_0_108,plain,
! [X245,X246,X249,X250] :
( ( ssList(esk8_2(X245,X246))
| ~ segmentP(X245,X246)
| ~ ssList(X246)
| ~ ssList(X245) )
& ( ssList(esk9_2(X245,X246))
| ~ segmentP(X245,X246)
| ~ ssList(X246)
| ~ ssList(X245) )
& ( app(app(esk8_2(X245,X246),X246),esk9_2(X245,X246)) = X245
| ~ segmentP(X245,X246)
| ~ ssList(X246)
| ~ ssList(X245) )
& ( ~ ssList(X249)
| ~ ssList(X250)
| app(app(X249,X246),X250) != X245
| segmentP(X245,X246)
| ~ ssList(X246)
| ~ ssList(X245) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax7])])])])]) ).
fof(i_0_109,plain,
! [X228,X229,X232,X233] :
( ( ssList(esk3_2(X228,X229))
| ~ memberP(X228,X229)
| ~ ssItem(X229)
| ~ ssList(X228) )
& ( ssList(esk4_2(X228,X229))
| ~ memberP(X228,X229)
| ~ ssItem(X229)
| ~ ssList(X228) )
& ( app(esk3_2(X228,X229),cons(X229,esk4_2(X228,X229))) = X228
| ~ memberP(X228,X229)
| ~ ssItem(X229)
| ~ ssList(X228) )
& ( ~ ssList(X232)
| ~ ssList(X233)
| app(X232,cons(X229,X233)) != X228
| memberP(X228,X229)
| ~ ssItem(X229)
| ~ ssList(X228) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3])])])])]) ).
fof(i_0_110,plain,
! [X384,X385,X386,X387] :
( ( X384 = X385
| ~ frontsegP(cons(X384,X386),cons(X385,X387))
| ~ ssList(X387)
| ~ ssList(X386)
| ~ ssItem(X385)
| ~ ssItem(X384) )
& ( frontsegP(X386,X387)
| ~ frontsegP(cons(X384,X386),cons(X385,X387))
| ~ ssList(X387)
| ~ ssList(X386)
| ~ ssItem(X385)
| ~ ssItem(X384) )
& ( X384 != X385
| ~ frontsegP(X386,X387)
| frontsegP(cons(X384,X386),cons(X385,X387))
| ~ ssList(X387)
| ~ ssList(X386)
| ~ ssItem(X385)
| ~ ssItem(X384) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax44])])])]) ).
fof(i_0_111,plain,
! [X407,X408,X409,X410] :
( ~ ssList(X407)
| ~ ssList(X408)
| ~ ssList(X409)
| ~ ssList(X410)
| ~ segmentP(X407,X408)
| segmentP(app(app(X409,X407),X410),X408) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax56])])]) ).
fof(i_0_112,plain,
! [X368,X369,X370] :
( ( ~ memberP(app(X369,X370),X368)
| memberP(X369,X368)
| memberP(X370,X368)
| ~ ssList(X370)
| ~ ssList(X369)
| ~ ssItem(X368) )
& ( ~ memberP(X369,X368)
| memberP(app(X369,X370),X368)
| ~ ssList(X370)
| ~ ssList(X369)
| ~ ssItem(X368) )
& ( ~ memberP(X370,X368)
| memberP(app(X369,X370),X368)
| ~ ssList(X370)
| ~ ssList(X369)
| ~ ssItem(X368) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax36])])])]) ).
fof(i_0_113,negated_conjecture,
! [X472,X473,X474] :
( ssList(esk48_0)
& ssList(esk49_0)
& ssList(esk50_0)
& ssList(esk51_0)
& esk49_0 = esk51_0
& esk48_0 = esk50_0
& ( ~ ssList(X472)
| ~ ssList(X473)
| ~ ssList(X474)
| app(app(X472,X473),X474) != esk48_0
| app(X472,X474) != esk49_0 )
& ssList(esk52_0)
& ssList(esk53_0)
& ssList(esk54_0)
& app(app(esk52_0,esk53_0),esk54_0) = esk50_0
& app(esk52_0,esk54_0) = esk51_0 ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_96])])])]) ).
fof(i_0_114,plain,
! [X371,X372,X373] :
( ( ~ memberP(cons(X372,X373),X371)
| X371 = X372
| memberP(X373,X371)
| ~ ssList(X373)
| ~ ssItem(X372)
| ~ ssItem(X371) )
& ( X371 != X372
| memberP(cons(X372,X373),X371)
| ~ ssList(X373)
| ~ ssItem(X372)
| ~ ssItem(X371) )
& ( ~ memberP(X373,X371)
| memberP(cons(X372,X373),X371)
| ~ ssList(X373)
| ~ ssItem(X372)
| ~ ssItem(X371) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax37])])])]) ).
fof(i_0_115,plain,
! [X439,X440,X441] :
( ~ ssList(X439)
| ~ ssList(X440)
| ~ ssList(X441)
| app(app(X439,X440),X441) = app(X439,app(X440,X441)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).
fof(i_0_116,plain,
! [X349,X350,X351] :
( ~ ssList(X349)
| ~ ssList(X350)
| ~ ssItem(X351)
| cons(X351,app(X350,X349)) = app(cons(X351,X350),X349) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])]) ).
fof(i_0_117,plain,
! [X420,X421] :
( ( nil != X421
| nil = X421
| ~ strictorderedP(cons(X420,X421))
| ~ ssList(X421)
| ~ ssItem(X420) )
& ( strictorderedP(X421)
| nil = X421
| ~ strictorderedP(cons(X420,X421))
| ~ ssList(X421)
| ~ ssItem(X420) )
& ( lt(X420,hd(X421))
| nil = X421
| ~ strictorderedP(cons(X420,X421))
| ~ ssList(X421)
| ~ ssItem(X420) )
& ( nil != X421
| strictorderedP(cons(X420,X421))
| ~ ssList(X421)
| ~ ssItem(X420) )
& ( nil = X421
| ~ strictorderedP(X421)
| ~ lt(X420,hd(X421))
| strictorderedP(cons(X420,X421))
| ~ ssList(X421)
| ~ ssItem(X420) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax70])])])]) ).
fof(i_0_118,plain,
! [X417,X418] :
( ( nil != X418
| nil = X418
| ~ totalorderedP(cons(X417,X418))
| ~ ssList(X418)
| ~ ssItem(X417) )
& ( totalorderedP(X418)
| nil = X418
| ~ totalorderedP(cons(X417,X418))
| ~ ssList(X418)
| ~ ssItem(X417) )
& ( leq(X417,hd(X418))
| nil = X418
| ~ totalorderedP(cons(X417,X418))
| ~ ssList(X418)
| ~ ssItem(X417) )
& ( nil != X418
| totalorderedP(cons(X417,X418))
| ~ ssList(X418)
| ~ ssItem(X417) )
& ( nil = X418
| ~ totalorderedP(X418)
| ~ leq(X417,hd(X418))
| totalorderedP(cons(X417,X418))
| ~ ssList(X418)
| ~ ssItem(X417) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax67])])])]) ).
fof(i_0_119,plain,
! [X396,X397,X398] :
( ~ ssList(X396)
| ~ ssList(X397)
| ~ ssList(X398)
| ~ rearsegP(X396,X397)
| rearsegP(app(X398,X396),X397) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax50])])]) ).
fof(i_0_120,plain,
! [X381,X382,X383] :
( ~ ssList(X381)
| ~ ssList(X382)
| ~ ssList(X383)
| ~ frontsegP(X381,X382)
| frontsegP(app(X381,X383),X382) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax43])])]) ).
fof(i_0_121,plain,
! [X465,X466,X467] :
( ~ ssItem(X465)
| ~ ssItem(X466)
| ~ ssItem(X467)
| ~ gt(X465,X466)
| ~ gt(X466,X467)
| gt(X465,X467) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax95])])]) ).
fof(i_0_122,plain,
! [X451,X452,X453] :
( ~ ssItem(X451)
| ~ ssItem(X452)
| ~ ssItem(X453)
| ~ geq(X451,X452)
| ~ geq(X452,X453)
| geq(X451,X453) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax88])])]) ).
fof(i_0_123,plain,
! [X363,X364,X365] :
( ~ ssItem(X363)
| ~ ssItem(X364)
| ~ ssItem(X365)
| ~ lt(X363,X364)
| ~ lt(X364,X365)
| lt(X363,X365) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax34])])]) ).
fof(i_0_124,plain,
! [X456,X457,X458] :
( ~ ssItem(X456)
| ~ ssItem(X457)
| ~ ssItem(X458)
| ~ leq(X456,X457)
| ~ lt(X457,X458)
| lt(X456,X458) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax91])])]) ).
fof(i_0_125,plain,
! [X355,X356,X357] :
( ~ ssItem(X355)
| ~ ssItem(X356)
| ~ ssItem(X357)
| ~ leq(X355,X356)
| ~ leq(X356,X357)
| leq(X355,X357) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax30])])]) ).
fof(i_0_126,plain,
! [X401,X402,X403] :
( ~ ssList(X401)
| ~ ssList(X402)
| ~ ssList(X403)
| ~ segmentP(X401,X402)
| ~ segmentP(X402,X403)
| segmentP(X401,X403) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax53])])]) ).
fof(i_0_127,plain,
! [X390,X391,X392] :
( ~ ssList(X390)
| ~ ssList(X391)
| ~ ssList(X392)
| ~ rearsegP(X390,X391)
| ~ rearsegP(X391,X392)
| rearsegP(X390,X392) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax47])])]) ).
fof(i_0_128,plain,
! [X375,X376,X377] :
( ~ ssList(X375)
| ~ ssList(X376)
| ~ ssList(X377)
| ~ frontsegP(X375,X376)
| ~ frontsegP(X376,X377)
| frontsegP(X375,X377) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax40])])]) ).
fof(i_0_129,plain,
! [X241,X242,X244] :
( ( ssList(esk7_2(X241,X242))
| ~ rearsegP(X241,X242)
| ~ ssList(X242)
| ~ ssList(X241) )
& ( app(esk7_2(X241,X242),X242) = X241
| ~ rearsegP(X241,X242)
| ~ ssList(X242)
| ~ ssList(X241) )
& ( ~ ssList(X244)
| app(X244,X242) != X241
| rearsegP(X241,X242)
| ~ ssList(X242)
| ~ ssList(X241) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6])])])])]) ).
fof(i_0_130,plain,
! [X237,X238,X240] :
( ( ssList(esk6_2(X237,X238))
| ~ frontsegP(X237,X238)
| ~ ssList(X238)
| ~ ssList(X237) )
& ( app(X238,esk6_2(X237,X238)) = X237
| ~ frontsegP(X237,X238)
| ~ ssList(X238)
| ~ ssList(X237) )
& ( ~ ssList(X240)
| app(X238,X240) != X237
| frontsegP(X237,X238)
| ~ ssList(X238)
| ~ ssList(X237) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax5])])])])]) ).
fof(i_0_131,plain,
! [X332,X333,X334,X335] :
( ( X334 = X335
| cons(X334,X332) != cons(X335,X333)
| ~ ssItem(X335)
| ~ ssItem(X334)
| ~ ssList(X333)
| ~ ssList(X332) )
& ( X333 = X332
| cons(X334,X332) != cons(X335,X333)
| ~ ssItem(X335)
| ~ ssItem(X334)
| ~ ssList(X333)
| ~ ssList(X332) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax19])])])]) ).
fof(i_0_132,plain,
! [X431,X432,X433] :
( ~ ssList(X431)
| ~ ssList(X432)
| ~ ssList(X433)
| app(X433,X432) != app(X431,X432)
| X433 = X431 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax79])])]) ).
fof(i_0_133,plain,
! [X434,X435,X436] :
( ~ ssList(X434)
| ~ ssList(X435)
| ~ ssList(X436)
| app(X435,X436) != app(X435,X434)
| X436 = X434 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax80])])]) ).
fof(i_0_134,plain,
! [X447,X448] :
( ~ ssList(X447)
| ~ ssList(X448)
| nil = X447
| tl(app(X447,X448)) = app(tl(X447),X448) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax86])])]) ).
fof(i_0_135,plain,
! [X437,X438] :
( ~ ssList(X437)
| ~ ssItem(X438)
| cons(X438,X437) = app(cons(X438,nil),X437) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])]) ).
fof(i_0_136,plain,
! [X404,X405] :
( ~ ssList(X404)
| ~ ssList(X405)
| ~ segmentP(X404,X405)
| ~ segmentP(X405,X404)
| X404 = X405 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax54])])]) ).
fof(i_0_137,plain,
! [X393,X394] :
( ~ ssList(X393)
| ~ ssList(X394)
| ~ rearsegP(X393,X394)
| ~ rearsegP(X394,X393)
| X393 = X394 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax48])])]) ).
fof(i_0_138,plain,
! [X378,X379] :
( ~ ssList(X378)
| ~ ssList(X379)
| ~ frontsegP(X378,X379)
| ~ frontsegP(X379,X378)
| X378 = X379 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax41])])]) ).
fof(i_0_139,plain,
! [X449,X450] :
( ~ ssItem(X449)
| ~ ssItem(X450)
| ~ geq(X449,X450)
| ~ geq(X450,X449)
| X449 = X450 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax87])])]) ).
fof(i_0_140,plain,
! [X353,X354] :
( ~ ssItem(X353)
| ~ ssItem(X354)
| ~ leq(X353,X354)
| ~ leq(X354,X353)
| X353 = X354 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax29])])]) ).
fof(i_0_141,plain,
! [X463,X464] :
( ~ ssItem(X463)
| ~ ssItem(X464)
| ~ gt(X463,X464)
| ~ gt(X464,X463) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_97])])]) ).
fof(i_0_142,plain,
! [X361,X362] :
( ~ ssItem(X361)
| ~ ssItem(X362)
| ~ lt(X361,X362)
| ~ lt(X362,X361) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_98])])]) ).
fof(i_0_143,plain,
! [X461,X462] :
( ( X461 != X462
| ~ lt(X461,X462)
| ~ ssItem(X462)
| ~ ssItem(X461) )
& ( leq(X461,X462)
| ~ lt(X461,X462)
| ~ ssItem(X462)
| ~ ssItem(X461) )
& ( X461 = X462
| ~ leq(X461,X462)
| lt(X461,X462)
| ~ ssItem(X462)
| ~ ssItem(X461) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax93])])])]) ).
fof(i_0_144,plain,
! [X459,X460] :
( ~ ssItem(X459)
| ~ ssItem(X460)
| ~ leq(X459,X460)
| X459 = X460
| lt(X459,X460) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax92])])]) ).
fof(i_0_145,plain,
! [X366,X367] :
( ( ~ gt(X366,X367)
| lt(X367,X366)
| ~ ssItem(X367)
| ~ ssItem(X366) )
& ( ~ lt(X367,X366)
| gt(X366,X367)
| ~ ssItem(X367)
| ~ ssItem(X366) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax35])])])]) ).
fof(i_0_146,plain,
! [X359,X360] :
( ( ~ geq(X359,X360)
| leq(X360,X359)
| ~ ssItem(X360)
| ~ ssItem(X359) )
& ( ~ leq(X360,X359)
| geq(X359,X360)
| ~ ssItem(X360)
| ~ ssItem(X359) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax32])])])]) ).
fof(i_0_147,plain,
! [X445,X446] :
( ~ ssList(X445)
| ~ ssList(X446)
| nil = X445
| hd(app(X445,X446)) = hd(X445) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax85])])]) ).
fof(i_0_148,plain,
! [X428,X429] :
( ~ ssList(X428)
| ~ ssList(X429)
| nil = X429
| nil = X428
| hd(X429) != hd(X428)
| tl(X429) != tl(X428)
| X429 = X428 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax77])])]) ).
fof(i_0_149,plain,
! [X345,X346] :
( ~ ssList(X345)
| ~ ssItem(X346)
| tl(cons(X346,X345)) = X345 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])])]) ).
fof(i_0_150,plain,
! [X342,X343] :
( ~ ssList(X342)
| ~ ssItem(X343)
| hd(cons(X343,X342)) = X343 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])]) ).
fof(i_0_151,plain,
! [X347,X348] :
( ~ ssList(X347)
| ~ ssList(X348)
| ssList(app(X347,X348)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).
fof(i_0_152,plain,
! [X328,X329] :
( ~ ssList(X328)
| ~ ssItem(X329)
| ssList(cons(X329,X328)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).
fof(i_0_153,plain,
! [X326,X327] :
( ( ~ neq(X326,X327)
| X326 != X327
| ~ ssList(X327)
| ~ ssList(X326) )
& ( X326 = X327
| neq(X326,X327)
| ~ ssList(X327)
| ~ ssList(X326) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])])])]) ).
fof(i_0_154,plain,
! [X224,X225] :
( ( ~ neq(X224,X225)
| X224 != X225
| ~ ssItem(X225)
| ~ ssItem(X224) )
& ( X224 = X225
| neq(X224,X225)
| ~ ssItem(X225)
| ~ ssItem(X224) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1])])])]) ).
fof(i_0_155,plain,
! [X234,X236] :
( ( ssItem(esk5_1(X234))
| ~ singletonP(X234)
| ~ ssList(X234) )
& ( cons(esk5_1(X234),nil) = X234
| ~ singletonP(X234)
| ~ ssList(X234) )
& ( ~ ssItem(X236)
| cons(X236,nil) != X234
| singletonP(X234)
| ~ ssList(X234) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4])])])])]) ).
fof(i_0_156,plain,
! [X442,X443] :
( ( nil = X443
| nil != app(X442,X443)
| ~ ssList(X443)
| ~ ssList(X442) )
& ( nil = X442
| nil != app(X442,X443)
| ~ ssList(X443)
| ~ ssList(X442) )
& ( nil != X443
| nil != X442
| nil = app(X442,X443)
| ~ ssList(X443)
| ~ ssList(X442) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])])])]) ).
fof(i_0_157,plain,
! [X330,X331] :
( ~ ssList(X330)
| ~ ssItem(X331)
| cons(X331,X330) != X330 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax18])])]) ).
fof(i_0_158,plain,
! [X339,X340] :
( ~ ssList(X339)
| ~ ssItem(X340)
| nil != cons(X340,X339) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])]) ).
fof(i_0_159,plain,
! [X336] :
( ( ssList(esk44_1(X336))
| nil = X336
| ~ ssList(X336) )
& ( ssItem(esk45_1(X336))
| nil = X336
| ~ ssList(X336) )
& ( cons(esk45_1(X336),esk44_1(X336)) = X336
| nil = X336
| ~ ssList(X336) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax20])])])]) ).
fof(i_0_160,plain,
! [X430] :
( ~ ssList(X430)
| nil = X430
| cons(hd(X430),tl(X430)) = X430 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax78])]) ).
fof(i_0_161,plain,
! [X423] :
( ~ ssItem(X423)
| equalelemsP(cons(X423,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax73])]) ).
fof(i_0_162,plain,
! [X422] :
( ~ ssItem(X422)
| duplicatefreeP(cons(X422,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax71])]) ).
fof(i_0_163,plain,
! [X419] :
( ~ ssItem(X419)
| strictorderedP(cons(X419,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax68])]) ).
fof(i_0_164,plain,
! [X416] :
( ~ ssItem(X416)
| totalorderedP(cons(X416,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax65])]) ).
fof(i_0_165,plain,
! [X415] :
( ~ ssItem(X415)
| strictorderP(cons(X415,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax63])]) ).
fof(i_0_166,plain,
! [X414] :
( ~ ssItem(X414)
| totalorderP(cons(X414,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax61])]) ).
fof(i_0_167,plain,
! [X413] :
( ~ ssItem(X413)
| cyclefreeP(cons(X413,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax59])]) ).
fof(i_0_168,plain,
! [X455] :
( ~ ssItem(X455)
| ~ lt(X455,X455) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_99])]) ).
fof(i_0_169,plain,
! [X412] :
( ( ~ segmentP(nil,X412)
| nil = X412
| ~ ssList(X412) )
& ( nil != X412
| segmentP(nil,X412)
| ~ ssList(X412) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax58])])]) ).
fof(i_0_170,plain,
! [X400] :
( ( ~ rearsegP(nil,X400)
| nil = X400
| ~ ssList(X400) )
& ( nil != X400
| rearsegP(nil,X400)
| ~ ssList(X400) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax52])])]) ).
fof(i_0_171,plain,
! [X389] :
( ( ~ frontsegP(nil,X389)
| nil = X389
| ~ ssList(X389) )
& ( nil != X389
| frontsegP(nil,X389)
| ~ ssList(X389) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax46])])]) ).
fof(i_0_172,plain,
! [X374] :
( ~ ssItem(X374)
| ~ memberP(nil,X374) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_100])]) ).
fof(i_0_173,plain,
! [X454] :
( ~ ssItem(X454)
| geq(X454,X454) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax89])]) ).
fof(i_0_174,plain,
! [X358] :
( ~ ssItem(X358)
| leq(X358,X358) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax31])]) ).
fof(i_0_175,plain,
! [X406] :
( ~ ssList(X406)
| segmentP(X406,X406) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax55])]) ).
fof(i_0_176,plain,
! [X395] :
( ~ ssList(X395)
| rearsegP(X395,X395) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax49])]) ).
fof(i_0_177,plain,
! [X380] :
( ~ ssList(X380)
| frontsegP(X380,X380) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax42])]) ).
fof(i_0_178,plain,
! [X352] :
( ~ ssList(X352)
| app(nil,X352) = X352 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).
fof(i_0_179,plain,
! [X444] :
( ~ ssList(X444)
| app(X444,nil) = X444 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).
fof(i_0_180,plain,
! [X411] :
( ~ ssList(X411)
| segmentP(X411,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])]) ).
fof(i_0_181,plain,
! [X399] :
( ~ ssList(X399)
| rearsegP(X399,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax51])]) ).
fof(i_0_182,plain,
! [X388] :
( ~ ssList(X388)
| frontsegP(X388,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax45])]) ).
fof(i_0_183,plain,
! [X426] :
( ( ssList(esk47_1(X426))
| nil = X426
| ~ ssList(X426) )
& ( tl(X426) = esk47_1(X426)
| nil = X426
| ~ ssList(X426) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax76])])])]) ).
fof(i_0_184,plain,
! [X344] :
( ~ ssList(X344)
| nil = X344
| ssList(tl(X344)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax24])]) ).
fof(i_0_185,plain,
! [X424] :
( ( ssItem(esk46_1(X424))
| nil = X424
| ~ ssList(X424) )
& ( hd(X424) = esk46_1(X424)
| nil = X424
| ~ ssList(X424) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax75])])])]) ).
fof(i_0_186,plain,
! [X341] :
( ~ ssList(X341)
| nil = X341
| ssItem(hd(X341)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax22])]) ).
fof(i_0_187,plain,
~ singletonP(nil),
inference(fof_simplification,[status(thm)],[ax39]) ).
fof(i_0_188,plain,
( ssItem(esk1_0)
& ssItem(esk2_0)
& esk1_0 != esk2_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[ax2])]) ).
cnf(i_0_189,plain,
( ~ cyclefreeP(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
| ~ leq(X2,X3)
| ~ leq(X3,X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_190,plain,
( lt(X2,X3)
| lt(X3,X2)
| ~ strictorderP(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_191,plain,
( leq(X2,X3)
| leq(X3,X2)
| ~ totalorderP(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_192,plain,
( lt(X2,X3)
| ~ strictorderedP(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_193,plain,
( leq(X2,X3)
| ~ totalorderedP(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_194,plain,
( ~ duplicatefreeP(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
| X2 != X3
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_195,plain,
( app(app(esk37_1(X1),cons(esk35_1(X1),esk38_1(X1))),cons(esk36_1(X1),esk39_1(X1))) = X1
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_196,plain,
( app(app(esk32_1(X1),cons(esk30_1(X1),esk33_1(X1))),cons(esk31_1(X1),esk34_1(X1))) = X1
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_197,plain,
( app(app(esk27_1(X1),cons(esk25_1(X1),esk28_1(X1))),cons(esk26_1(X1),esk29_1(X1))) = X1
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_198,plain,
( app(app(esk22_1(X1),cons(esk20_1(X1),esk23_1(X1))),cons(esk21_1(X1),esk24_1(X1))) = X1
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_199,plain,
( app(app(esk17_1(X1),cons(esk15_1(X1),esk18_1(X1))),cons(esk16_1(X1),esk19_1(X1))) = X1
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_200,plain,
( app(app(esk12_1(X1),cons(esk10_1(X1),esk13_1(X1))),cons(esk11_1(X1),esk14_1(X1))) = X1
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_201,plain,
( X2 = X3
| ~ equalelemsP(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| app(X4,cons(X2,cons(X3,X5))) != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_202,plain,
( app(esk42_1(X1),cons(esk40_1(X1),cons(esk41_1(X1),esk43_1(X1)))) = X1
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_203,plain,
( app(app(esk8_2(X1,X2),X2),esk9_2(X1,X2)) = X1
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_204,plain,
( app(esk3_2(X1,X2),cons(X2,esk4_2(X1,X2))) = X1
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_205,plain,
( frontsegP(X1,X2)
| ~ frontsegP(cons(X3,X1),cons(X4,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X3) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_206,plain,
( segmentP(app(app(X3,X1),X4),X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ segmentP(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_207,plain,
( X1 = X2
| ~ frontsegP(cons(X1,X3),cons(X2,X4))
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_208,plain,
( frontsegP(cons(X1,X3),cons(X2,X4))
| X1 != X2
| ~ frontsegP(X3,X4)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_209,plain,
( memberP(X1,X3)
| memberP(X2,X3)
| ~ memberP(app(X1,X2),X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X3) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_210,plain,
( segmentP(X4,X3)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X1,X3),X2) != X4
| ~ ssList(X3)
| ~ ssList(X4) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_211,plain,
( memberP(X4,X3)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X1,cons(X3,X2)) != X4
| ~ ssItem(X3)
| ~ ssList(X4) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_212,negated_conjecture,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X1,X2),X3) != esk48_0
| app(X1,X3) != esk49_0 ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_213,plain,
( X3 = X1
| memberP(X2,X3)
| ~ memberP(cons(X1,X2),X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_214,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_215,plain,
( cons(X3,app(X2,X1)) = app(cons(X3,X2),X1)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_216,plain,
( nil = X1
| strictorderedP(cons(X2,X1))
| ~ strictorderedP(X1)
| ~ lt(X2,hd(X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_217,plain,
( nil = X1
| totalorderedP(cons(X2,X1))
| ~ totalorderedP(X1)
| ~ leq(X2,hd(X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_218,plain,
( rearsegP(app(X3,X1),X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ rearsegP(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_219,plain,
( frontsegP(app(X1,X3),X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ frontsegP(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_220,plain,
( memberP(app(X1,X3),X2)
| ~ memberP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_221,plain,
( memberP(app(X3,X1),X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_222,plain,
( memberP(cons(X3,X1),X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_223,plain,
( lt(X1,hd(X2))
| nil = X2
| ~ strictorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_224,plain,
( leq(X1,hd(X2))
| nil = X2
| ~ totalorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_225,plain,
( gt(X1,X3)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ gt(X1,X2)
| ~ gt(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_226,plain,
( geq(X1,X3)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ geq(X1,X2)
| ~ geq(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_227,plain,
( lt(X1,X3)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ lt(X1,X2)
| ~ lt(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_228,plain,
( lt(X1,X3)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ leq(X1,X2)
| ~ lt(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_229,plain,
( leq(X1,X3)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_230,plain,
( segmentP(X1,X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_126]),
[final] ).
cnf(i_0_231,plain,
( rearsegP(X1,X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_232,plain,
( frontsegP(X1,X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_233,plain,
( app(esk7_2(X1,X2),X2) = X1
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_129]),
[final] ).
cnf(i_0_234,plain,
( app(X1,esk6_2(X2,X1)) = X2
| ~ frontsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_235,plain,
( X1 = X2
| cons(X1,X3) != cons(X2,X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_236,plain,
( X1 = X2
| cons(X3,X2) != cons(X4,X1)
| ~ ssItem(X4)
| ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_237,plain,
( strictorderedP(X1)
| nil = X1
| ~ strictorderedP(cons(X2,X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_238,plain,
( totalorderedP(X1)
| nil = X1
| ~ totalorderedP(cons(X2,X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_239,plain,
( X3 = X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(X3,X2) != app(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_132]),
[final] ).
cnf(i_0_240,plain,
( X3 = X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(X2,X3) != app(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_133]),
[final] ).
cnf(i_0_241,plain,
( ssList(esk9_2(X1,X2))
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_242,plain,
( ssList(esk8_2(X1,X2))
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_243,plain,
( ssList(esk7_2(X1,X2))
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_129]),
[final] ).
cnf(i_0_244,plain,
( ssList(esk6_2(X1,X2))
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_245,plain,
( ssList(esk4_2(X1,X2))
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_246,plain,
( ssList(esk3_2(X1,X2))
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_247,plain,
( nil = X1
| tl(app(X1,X2)) = app(tl(X1),X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_134]),
[final] ).
cnf(i_0_248,plain,
( memberP(cons(X2,X3),X1)
| X1 != X2
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_249,plain,
( cons(X2,X1) = app(cons(X2,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_135]),
[final] ).
cnf(i_0_250,plain,
( X1 = X2
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_136]),
[final] ).
cnf(i_0_251,plain,
( X1 = X2
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_137]),
[final] ).
cnf(i_0_252,plain,
( X1 = X2
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_138]),
[final] ).
cnf(i_0_253,plain,
( X1 = X2
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ geq(X1,X2)
| ~ geq(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_139]),
[final] ).
cnf(i_0_254,plain,
( X1 = X2
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X1,X2)
| ~ leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_140]),
[final] ).
cnf(i_0_255,plain,
( rearsegP(X3,X2)
| ~ ssList(X1)
| app(X1,X2) != X3
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[i_0_129]),
[final] ).
cnf(i_0_256,plain,
( frontsegP(X3,X2)
| ~ ssList(X1)
| app(X2,X1) != X3
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_257,plain,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ gt(X1,X2)
| ~ gt(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_258,plain,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ lt(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_142]),
[final] ).
cnf(i_0_259,plain,
( X1 = X2
| lt(X1,X2)
| ~ leq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_260,plain,
( X1 = X2
| lt(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_144]),
[final] ).
cnf(i_0_261,plain,
( strictorderedP(X1)
| ~ lt(esk30_1(X1),esk31_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_262,plain,
( totalorderedP(X1)
| ~ leq(esk25_1(X1),esk26_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_263,plain,
( strictorderP(X1)
| ~ lt(esk21_1(X1),esk20_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_264,plain,
( strictorderP(X1)
| ~ lt(esk20_1(X1),esk21_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_265,plain,
( totalorderP(X1)
| ~ leq(esk16_1(X1),esk15_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_266,plain,
( totalorderP(X1)
| ~ leq(esk15_1(X1),esk16_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_267,plain,
( gt(X2,X1)
| ~ lt(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_268,plain,
( geq(X2,X1)
| ~ leq(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_269,plain,
( lt(X2,X1)
| ~ gt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_270,plain,
( leq(X1,X2)
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_271,plain,
( leq(X2,X1)
| ~ geq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_272,plain,
( nil = X1
| hd(app(X1,X2)) = hd(X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_147]),
[final] ).
cnf(i_0_273,plain,
( strictorderedP(cons(X2,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_274,plain,
( totalorderedP(cons(X2,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_275,plain,
( nil = X2
| nil = X1
| X2 = X1
| ~ ssList(X1)
| ~ ssList(X2)
| hd(X2) != hd(X1)
| tl(X2) != tl(X1) ),
inference(split_conjunct,[status(thm)],[i_0_148]),
[final] ).
cnf(i_0_276,plain,
( tl(cons(X2,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_277,plain,
( hd(cons(X2,X1)) = X2
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_150]),
[final] ).
cnf(i_0_278,plain,
( ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_279,plain,
( ssList(cons(X2,X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_152]),
[final] ).
cnf(i_0_280,plain,
( ~ neq(X1,X2)
| X1 != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_153]),
[final] ).
cnf(i_0_281,plain,
( X1 != X2
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_282,plain,
( ~ neq(X1,X2)
| X1 != X2
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_154]),
[final] ).
cnf(i_0_283,plain,
( singletonP(X2)
| ~ ssItem(X1)
| cons(X1,nil) != X2
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_284,plain,
( nil = X1
| nil != app(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_156]),
[final] ).
cnf(i_0_285,plain,
( nil = X1
| nil != app(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_156]),
[final] ).
cnf(i_0_286,plain,
( leq(esk11_1(X1),esk10_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_287,plain,
( leq(esk10_1(X1),esk11_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_288,plain,
( ~ ssList(X1)
| ~ ssItem(X2)
| cons(X2,X1) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_157]),
[final] ).
cnf(i_0_289,plain,
( ~ ssList(X1)
| ~ ssItem(X2)
| nil != cons(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_158]),
[final] ).
cnf(i_0_290,plain,
( cons(esk45_1(X1),esk44_1(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_291,plain,
( nil = X1
| cons(hd(X1),tl(X1)) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_160]),
[final] ).
cnf(i_0_292,plain,
( equalelemsP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_161]),
[final] ).
cnf(i_0_293,plain,
( duplicatefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_162]),
[final] ).
cnf(i_0_294,plain,
( strictorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_163]),
[final] ).
cnf(i_0_295,plain,
( totalorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_164]),
[final] ).
cnf(i_0_296,plain,
( strictorderP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_165]),
[final] ).
cnf(i_0_297,plain,
( totalorderP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_166]),
[final] ).
cnf(i_0_298,plain,
( cyclefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_167]),
[final] ).
cnf(i_0_299,plain,
( cons(esk5_1(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_300,plain,
( nil = app(X2,X1)
| nil != X1
| nil != X2
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_156]),
[final] ).
cnf(i_0_301,negated_conjecture,
app(app(esk52_0,esk53_0),esk54_0) = esk50_0,
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_302,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_153]),
[final] ).
cnf(i_0_303,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_154]),
[final] ).
cnf(i_0_304,plain,
( ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(split_conjunct,[status(thm)],[i_0_168]),
[final] ).
cnf(i_0_305,plain,
( nil = X1
| ~ segmentP(nil,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_169]),
[final] ).
cnf(i_0_306,plain,
( nil = X1
| ~ rearsegP(nil,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_170]),
[final] ).
cnf(i_0_307,plain,
( nil = X1
| ~ frontsegP(nil,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_171]),
[final] ).
cnf(i_0_308,plain,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
inference(split_conjunct,[status(thm)],[i_0_172]),
[final] ).
cnf(i_0_309,plain,
( ssItem(esk5_1(X1))
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_310,plain,
( equalelemsP(X1)
| esk40_1(X1) != esk41_1(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_311,plain,
( segmentP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_169]),
[final] ).
cnf(i_0_312,plain,
( rearsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_170]),
[final] ).
cnf(i_0_313,plain,
( frontsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_171]),
[final] ).
cnf(i_0_314,plain,
( ssList(esk43_1(X1))
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_315,plain,
( ssList(esk42_1(X1))
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_316,plain,
( ssItem(esk41_1(X1))
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_317,plain,
( ssItem(esk40_1(X1))
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_318,plain,
( ssList(esk39_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_319,plain,
( ssList(esk38_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_320,plain,
( ssList(esk37_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_321,plain,
( ssItem(esk36_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_322,plain,
( ssItem(esk35_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_323,plain,
( ssList(esk34_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_324,plain,
( ssList(esk33_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_325,plain,
( ssList(esk32_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_326,plain,
( ssItem(esk31_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_327,plain,
( ssItem(esk30_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_328,plain,
( ssList(esk29_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_329,plain,
( ssList(esk28_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_330,plain,
( ssList(esk27_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_331,plain,
( ssItem(esk26_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_332,plain,
( ssItem(esk25_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_333,plain,
( ssList(esk24_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_334,plain,
( ssList(esk23_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_335,plain,
( ssList(esk22_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_336,plain,
( ssItem(esk21_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_337,plain,
( ssItem(esk20_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_338,plain,
( ssList(esk19_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_339,plain,
( ssList(esk18_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_340,plain,
( ssList(esk17_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_341,plain,
( ssItem(esk16_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_342,plain,
( ssItem(esk15_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_343,plain,
( ssList(esk14_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_344,plain,
( ssList(esk13_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_345,plain,
( ssList(esk12_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_346,plain,
( ssItem(esk11_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_347,plain,
( ssItem(esk10_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_348,plain,
( geq(X1,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_173]),
[final] ).
cnf(i_0_349,plain,
( leq(X1,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_174]),
[final] ).
cnf(i_0_350,plain,
( segmentP(X1,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_175]),
[final] ).
cnf(i_0_351,plain,
( rearsegP(X1,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_176]),
[final] ).
cnf(i_0_352,plain,
( frontsegP(X1,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_177]),
[final] ).
cnf(i_0_353,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_178]),
[final] ).
cnf(i_0_354,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_179]),
[final] ).
cnf(i_0_355,plain,
( esk35_1(X1) = esk36_1(X1)
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_356,plain,
( segmentP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_180]),
[final] ).
cnf(i_0_357,plain,
( rearsegP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_181]),
[final] ).
cnf(i_0_358,plain,
( frontsegP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_182]),
[final] ).
cnf(i_0_359,plain,
( ssList(esk47_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_183]),
[final] ).
cnf(i_0_360,plain,
( ssList(esk44_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_361,plain,
( nil = X1
| ssList(tl(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_184]),
[final] ).
cnf(i_0_362,plain,
( ssItem(esk46_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_185]),
[final] ).
cnf(i_0_363,plain,
( ssItem(esk45_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_364,plain,
( nil = X1
| ssItem(hd(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_186]),
[final] ).
cnf(i_0_365,plain,
( tl(X1) = esk47_1(X1)
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_183]),
[final] ).
cnf(i_0_366,plain,
( hd(X1) = esk46_1(X1)
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_185]),
[final] ).
cnf(i_0_367,negated_conjecture,
app(esk52_0,esk54_0) = esk51_0,
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_368,plain,
~ singletonP(nil),
inference(split_conjunct,[status(thm)],[i_0_187]),
[final] ).
cnf(i_0_369,plain,
equalelemsP(nil),
inference(split_conjunct,[status(thm)],[ax74]),
[final] ).
cnf(i_0_370,plain,
duplicatefreeP(nil),
inference(split_conjunct,[status(thm)],[ax72]),
[final] ).
cnf(i_0_371,plain,
strictorderedP(nil),
inference(split_conjunct,[status(thm)],[ax69]),
[final] ).
cnf(i_0_372,plain,
totalorderedP(nil),
inference(split_conjunct,[status(thm)],[ax66]),
[final] ).
cnf(i_0_373,plain,
strictorderP(nil),
inference(split_conjunct,[status(thm)],[ax64]),
[final] ).
cnf(i_0_374,plain,
totalorderP(nil),
inference(split_conjunct,[status(thm)],[ax62]),
[final] ).
cnf(i_0_375,plain,
cyclefreeP(nil),
inference(split_conjunct,[status(thm)],[ax60]),
[final] ).
cnf(i_0_376,negated_conjecture,
ssList(esk54_0),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_377,negated_conjecture,
ssList(esk53_0),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_378,negated_conjecture,
ssList(esk52_0),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_379,negated_conjecture,
ssList(esk51_0),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_380,negated_conjecture,
ssList(esk50_0),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_381,negated_conjecture,
ssList(esk49_0),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_382,negated_conjecture,
ssList(esk48_0),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_383,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]),
[final] ).
cnf(i_0_384,plain,
ssItem(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_385,plain,
ssItem(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_386,plain,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_387,negated_conjecture,
esk49_0 = esk51_0,
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_388,negated_conjecture,
esk48_0 = esk50_0,
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_389,axiom,
X1 = X1 ).
cnf(i_0_390,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_391,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_392,axiom,
( X1 != X2
| app(X1,X3) = app(X2,X3) ) ).
cnf(i_0_393,axiom,
( X1 != X2
| app(X3,X1) = app(X3,X2) ) ).
cnf(i_0_394,axiom,
( X1 != X2
| cons(X1,X3) = cons(X2,X3) ) ).
cnf(i_0_395,axiom,
( X1 != X2
| cons(X3,X1) = cons(X3,X2) ) ).
cnf(i_0_396,axiom,
( X1 != X2
| esk40_1(X1) = esk40_1(X2) ) ).
cnf(i_0_397,axiom,
( X1 != X2
| esk41_1(X1) = esk41_1(X2) ) ).
cnf(i_0_398,axiom,
( X1 != X2
| esk35_1(X1) = esk35_1(X2) ) ).
cnf(i_0_399,axiom,
( X1 != X2
| hd(X1) = hd(X2) ) ).
cnf(i_0_400,axiom,
( X1 != X2
| tl(X1) = tl(X2) ) ).
cnf(i_0_401,axiom,
( X1 != X2
| esk47_1(X1) = esk47_1(X2) ) ).
cnf(i_0_402,axiom,
( X1 != X2
| esk46_1(X1) = esk46_1(X2) ) ).
cnf(i_0_403,axiom,
( X1 != X2
| esk36_1(X1) = esk36_1(X2) ) ).
cnf(i_0_404,axiom,
( X1 != X2
| ~ cyclefreeP(X1)
| cyclefreeP(X2) ) ).
cnf(i_0_405,axiom,
( X1 != X2
| ~ duplicatefreeP(X1)
| duplicatefreeP(X2) ) ).
cnf(i_0_406,axiom,
( X1 != X2
| ~ equalelemsP(X1)
| equalelemsP(X2) ) ).
cnf(i_0_407,axiom,
( X1 != X2
| ~ segmentP(X1,X3)
| segmentP(X2,X3) ) ).
cnf(i_0_408,axiom,
( X1 != X2
| ~ segmentP(X3,X1)
| segmentP(X3,X2) ) ).
cnf(i_0_409,axiom,
( X1 != X2
| ~ memberP(X1,X3)
| memberP(X2,X3) ) ).
cnf(i_0_410,axiom,
( X1 != X2
| ~ memberP(X3,X1)
| memberP(X3,X2) ) ).
cnf(i_0_411,axiom,
( X1 != X2
| ~ frontsegP(X1,X3)
| frontsegP(X2,X3) ) ).
cnf(i_0_412,axiom,
( X1 != X2
| ~ frontsegP(X3,X1)
| frontsegP(X3,X2) ) ).
cnf(i_0_413,axiom,
( X1 != X2
| ~ rearsegP(X1,X3)
| rearsegP(X2,X3) ) ).
cnf(i_0_414,axiom,
( X1 != X2
| ~ rearsegP(X3,X1)
| rearsegP(X3,X2) ) ).
cnf(i_0_415,axiom,
( X1 != X2
| ~ gt(X1,X3)
| gt(X2,X3) ) ).
cnf(i_0_416,axiom,
( X1 != X2
| ~ gt(X3,X1)
| gt(X3,X2) ) ).
cnf(i_0_417,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_418,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_419,axiom,
( X1 != X2
| ~ neq(X1,X3)
| neq(X2,X3) ) ).
cnf(i_0_420,axiom,
( X1 != X2
| ~ neq(X3,X1)
| neq(X3,X2) ) ).
cnf(i_0_421,axiom,
( X1 != X2
| ~ singletonP(X1)
| singletonP(X2) ) ).
cnf(i_0_422,axiom,
( X1 != X2
| ~ ssItem(X1)
| ssItem(X2) ) ).
cnf(i_0_423,axiom,
( X1 != X2
| ~ ssList(X1)
| ssList(X2) ) ).
cnf(i_0_424,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_425,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_426,axiom,
( X1 != X2
| ~ lt(X1,X3)
| lt(X2,X3) ) ).
cnf(i_0_427,axiom,
( X1 != X2
| ~ lt(X3,X1)
| lt(X3,X2) ) ).
cnf(i_0_428,axiom,
( X1 != X2
| ~ strictorderP(X1)
| strictorderP(X2) ) ).
cnf(i_0_429,axiom,
( X1 != X2
| ~ totalorderP(X1)
| totalorderP(X2) ) ).
cnf(i_0_430,axiom,
( X1 != X2
| ~ strictorderedP(X1)
| strictorderedP(X2) ) ).
cnf(i_0_431,axiom,
( X1 != X2
| ~ totalorderedP(X1)
| totalorderedP(X2) ) ).
cnf(i_0_389_001,axiom,
X1 = X1 ).
cnf(i_0_390_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_391_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_392_004,axiom,
( X1 != X2
| app(X1,X3) = app(X2,X3) ) ).
cnf(i_0_393_005,axiom,
( X1 != X2
| app(X3,X1) = app(X3,X2) ) ).
cnf(i_0_394_006,axiom,
( X1 != X2
| cons(X1,X3) = cons(X2,X3) ) ).
cnf(i_0_395_007,axiom,
( X1 != X2
| cons(X3,X1) = cons(X3,X2) ) ).
cnf(i_0_396_008,axiom,
( X1 != X2
| esk40_1(X1) = esk40_1(X2) ) ).
cnf(i_0_397_009,axiom,
( X1 != X2
| esk41_1(X1) = esk41_1(X2) ) ).
cnf(i_0_398_010,axiom,
( X1 != X2
| esk35_1(X1) = esk35_1(X2) ) ).
cnf(i_0_399_011,axiom,
( X1 != X2
| hd(X1) = hd(X2) ) ).
cnf(i_0_400_012,axiom,
( X1 != X2
| tl(X1) = tl(X2) ) ).
cnf(i_0_401_013,axiom,
( X1 != X2
| esk47_1(X1) = esk47_1(X2) ) ).
cnf(i_0_402_014,axiom,
( X1 != X2
| esk46_1(X1) = esk46_1(X2) ) ).
cnf(i_0_403_015,axiom,
( X1 != X2
| esk36_1(X1) = esk36_1(X2) ) ).
cnf(i_0_404_016,axiom,
( X1 != X2
| ~ cyclefreeP(X1)
| cyclefreeP(X2) ) ).
cnf(i_0_405_017,axiom,
( X1 != X2
| ~ duplicatefreeP(X1)
| duplicatefreeP(X2) ) ).
cnf(i_0_406_018,axiom,
( X1 != X2
| ~ equalelemsP(X1)
| equalelemsP(X2) ) ).
cnf(i_0_407_019,axiom,
( X1 != X2
| ~ segmentP(X1,X3)
| segmentP(X2,X3) ) ).
cnf(i_0_408_020,axiom,
( X1 != X2
| ~ segmentP(X3,X1)
| segmentP(X3,X2) ) ).
cnf(i_0_409_021,axiom,
( X1 != X2
| ~ memberP(X1,X3)
| memberP(X2,X3) ) ).
cnf(i_0_410_022,axiom,
( X1 != X2
| ~ memberP(X3,X1)
| memberP(X3,X2) ) ).
cnf(i_0_411_023,axiom,
( X1 != X2
| ~ frontsegP(X1,X3)
| frontsegP(X2,X3) ) ).
cnf(i_0_412_024,axiom,
( X1 != X2
| ~ frontsegP(X3,X1)
| frontsegP(X3,X2) ) ).
cnf(i_0_413_025,axiom,
( X1 != X2
| ~ rearsegP(X1,X3)
| rearsegP(X2,X3) ) ).
cnf(i_0_414_026,axiom,
( X1 != X2
| ~ rearsegP(X3,X1)
| rearsegP(X3,X2) ) ).
cnf(i_0_415_027,axiom,
( X1 != X2
| ~ gt(X1,X3)
| gt(X2,X3) ) ).
cnf(i_0_416_028,axiom,
( X1 != X2
| ~ gt(X3,X1)
| gt(X3,X2) ) ).
cnf(i_0_417_029,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_418_030,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_419_031,axiom,
( X1 != X2
| ~ neq(X1,X3)
| neq(X2,X3) ) ).
cnf(i_0_420_032,axiom,
( X1 != X2
| ~ neq(X3,X1)
| neq(X3,X2) ) ).
cnf(i_0_421_033,axiom,
( X1 != X2
| ~ singletonP(X1)
| singletonP(X2) ) ).
cnf(i_0_422_034,axiom,
( X1 != X2
| ~ ssItem(X1)
| ssItem(X2) ) ).
cnf(i_0_423_035,axiom,
( X1 != X2
| ~ ssList(X1)
| ssList(X2) ) ).
cnf(i_0_424_036,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_425_037,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_426_038,axiom,
( X1 != X2
| ~ lt(X1,X3)
| lt(X2,X3) ) ).
cnf(i_0_427_039,axiom,
( X1 != X2
| ~ lt(X3,X1)
| lt(X3,X2) ) ).
cnf(i_0_428_040,axiom,
( X1 != X2
| ~ strictorderP(X1)
| strictorderP(X2) ) ).
cnf(i_0_429_041,axiom,
( X1 != X2
| ~ totalorderP(X1)
| totalorderP(X2) ) ).
cnf(i_0_430_042,axiom,
( X1 != X2
| ~ strictorderedP(X1)
| strictorderedP(X2) ) ).
cnf(i_0_431_043,axiom,
( X1 != X2
| ~ totalorderedP(X1)
| totalorderedP(X2) ) ).
cnf(i_0_432,plain,
( ~ leq(X1,X2)
| ~ leq(X2,X1)
| ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ cyclefreeP(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X5) ),
inference(equality_inference,[],[189]) ).
cnf(i_0_433,plain,
( lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(app(app(X3,cons(X2,X4)),cons(X1,X5)))
| lt(X2,X1)
| ~ strictorderP(app(app(X3,cons(X2,X4)),cons(X1,X5)))
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X5) ),
inference(equality_inference,[],[190]) ).
cnf(i_0_434,plain,
( leq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(app(app(X3,cons(X2,X4)),cons(X1,X5)))
| leq(X2,X1)
| ~ totalorderP(app(app(X3,cons(X2,X4)),cons(X1,X5)))
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X5) ),
inference(equality_inference,[],[191]) ).
cnf(i_0_435,plain,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| lt(X1,X2)
| ~ strictorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X5) ),
inference(equality_inference,[],[192]) ).
cnf(i_0_436,plain,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| leq(X1,X2)
| ~ totalorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X5) ),
inference(equality_inference,[],[193]) ).
cnf(i_0_437,plain,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(app(X3,cons(X1,cons(X2,X4))))
| X1 = X2
| ~ equalelemsP(app(X3,cons(X1,cons(X2,X4))))
| ~ ssList(X3)
| ~ ssList(X4) ),
inference(equality_inference,[],[201]) ).
cnf(i_0_438,plain,
( ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ ssItem(X3)
| frontsegP(cons(X3,X1),cons(X3,X2)) ),
inference(equality_inference,[],[208]) ).
cnf(i_0_439,plain,
( ~ ssList(X1)
| ~ ssList(app(app(X2,X1),X3))
| segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(equality_inference,[],[210]) ).
cnf(i_0_440,plain,
( ~ ssItem(X1)
| ~ ssList(app(X2,cons(X1,X3)))
| memberP(app(X2,cons(X1,X3)),X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(equality_inference,[],[211]) ).
cnf(i_0_441,plain,
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X2)
| X1 = X1 ),
inference(equality_inference,[],[235]) ).
cnf(i_0_442,plain,
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X2)
| X2 = X2 ),
inference(equality_inference,[],[236]) ).
cnf(i_0_443,plain,
( ~ ssList(X1)
| ~ ssList(X1)
| X1 = X1
| ~ ssList(X2) ),
inference(equality_inference,[],[239]) ).
cnf(i_0_444,plain,
( ~ ssList(X1)
| ~ ssList(X1)
| X1 = X1
| ~ ssList(X2) ),
inference(equality_inference,[],[240]) ).
cnf(i_0_445,plain,
( ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X2)
| memberP(cons(X2,X1),X2) ),
inference(equality_inference,[],[248]) ).
cnf(i_0_446,plain,
( ~ ssList(X1)
| ~ ssList(app(X2,X1))
| rearsegP(app(X2,X1),X1)
| ~ ssList(X2) ),
inference(equality_inference,[],[255]) ).
cnf(i_0_447,plain,
( ~ ssList(X1)
| ~ ssList(app(X1,X2))
| frontsegP(app(X1,X2),X1)
| ~ ssList(X2) ),
inference(equality_inference,[],[256]) ).
cnf(i_0_448,plain,
( ~ ssList(nil)
| ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ),
inference(equality_inference,[],[273]) ).
cnf(i_0_449,plain,
( ~ ssList(nil)
| ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ),
inference(equality_inference,[],[274]) ).
cnf(i_0_450,plain,
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_inference,[],[280]) ).
cnf(i_0_451,plain,
( ~ lt(X1,X1)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_inference,[],[281]) ).
cnf(i_0_452,plain,
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(equality_inference,[],[282]) ).
cnf(i_0_453,plain,
( ~ ssList(cons(X1,nil))
| singletonP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(equality_inference,[],[283]) ).
cnf(i_0_454,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_inference,[],[311]) ).
cnf(i_0_455,plain,
( ~ ssList(nil)
| rearsegP(nil,nil) ),
inference(equality_inference,[],[312]) ).
cnf(i_0_456,plain,
( ~ ssList(nil)
| frontsegP(nil,nil) ),
inference(equality_inference,[],[313]) ).
cnf(i_0_457,plain,
esk50_0 = app(app(esk52_0,esk53_0),esk54_0),
inference(scs_inference,[],[i_0_301,i_0_390]) ).
cnf(i_0_458,plain,
geq(esk2_0,esk2_0),
inference(scs_inference,[],[i_0_301,i_0_384,i_0_390,i_0_348]) ).
cnf(i_0_459,plain,
( ~ ssItem(X1)
| geq(X1,X1) ),
inference(rename_variables,[],[i_0_348]) ).
cnf(i_0_460,plain,
leq(esk2_0,esk2_0),
inference(scs_inference,[],[i_0_301,i_0_384,i_0_390,i_0_348,i_0_349]) ).
cnf(i_0_461,plain,
( ~ ssItem(X1)
| leq(X1,X1) ),
inference(rename_variables,[],[i_0_349]) ).
cnf(i_0_462,plain,
segmentP(esk54_0,esk54_0),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_384,i_0_390,i_0_348,i_0_349,i_0_350]) ).
cnf(i_0_463,plain,
( ~ ssList(X1)
| segmentP(X1,X1) ),
inference(rename_variables,[],[i_0_350]) ).
cnf(i_0_464,plain,
rearsegP(esk54_0,esk54_0),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_384,i_0_390,i_0_348,i_0_349,i_0_350,i_0_351]) ).
cnf(i_0_465,plain,
( ~ ssList(X1)
| rearsegP(X1,X1) ),
inference(rename_variables,[],[i_0_351]) ).
cnf(i_0_466,plain,
frontsegP(esk54_0,esk54_0),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_384,i_0_390,i_0_348,i_0_349,i_0_350,i_0_351,i_0_352]) ).
cnf(i_0_467,plain,
( ~ ssList(X1)
| frontsegP(X1,X1) ),
inference(rename_variables,[],[i_0_352]) ).
cnf(i_0_468,plain,
~ neq(esk54_0,esk54_0),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_384,i_0_390,i_0_348,i_0_349,i_0_350,i_0_351,i_0_352,i_0_450]) ).
cnf(i_0_469,plain,
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(rename_variables,[],[i_0_450]) ).
cnf(i_0_470,plain,
~ neq(esk2_0,esk2_0),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_384,i_0_390,i_0_348,i_0_349,i_0_350,i_0_351,i_0_352,i_0_450,i_0_452]) ).
cnf(i_0_471,plain,
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(rename_variables,[],[i_0_452]) ).
cnf(i_0_472,plain,
ssList(app(app(esk52_0,esk53_0),esk54_0)),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_380,i_0_384,i_0_390,i_0_348,i_0_349,i_0_350,i_0_351,i_0_352,i_0_450,i_0_452,i_0_423]) ).
cnf(i_0_473,plain,
~ neq(app(app(esk52_0,esk53_0),esk54_0),esk50_0),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_380,i_0_384,i_0_390,i_0_348,i_0_349,i_0_350,i_0_351,i_0_352,i_0_450,i_0_452,i_0_423,i_0_280]) ).
cnf(i_0_474,plain,
( X1 != X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ neq(X1,X2) ),
inference(rename_variables,[],[i_0_280]) ).
cnf(i_0_475,plain,
memberP(cons(esk2_0,esk54_0),esk2_0),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_380,i_0_384,i_0_390,i_0_348,i_0_349,i_0_350,i_0_351,i_0_352,i_0_450,i_0_452,i_0_423,i_0_280,i_0_445]) ).
cnf(i_0_476,plain,
( ~ ssItem(X1)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1)
| ~ ssList(X2) ),
inference(rename_variables,[],[i_0_445]) ).
cnf(i_0_477,plain,
rearsegP(esk51_0,esk54_0),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_378,i_0_379,i_0_380,i_0_367,i_0_384,i_0_390,i_0_348,i_0_349,i_0_350,i_0_351,i_0_352,i_0_450,i_0_452,i_0_423,i_0_280,i_0_445,i_0_255]) ).
cnf(i_0_478,plain,
( app(X1,X2) != X3
| ~ ssList(X2)
| ~ ssList(X3)
| rearsegP(X3,X2)
| ~ ssList(X1) ),
inference(rename_variables,[],[i_0_255]) ).
cnf(i_0_479,plain,
frontsegP(esk51_0,esk52_0),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_378,i_0_379,i_0_380,i_0_367,i_0_384,i_0_390,i_0_348,i_0_349,i_0_350,i_0_351,i_0_352,i_0_450,i_0_452,i_0_423,i_0_280,i_0_445,i_0_255,i_0_256]) ).
cnf(i_0_480,plain,
( app(X1,X2) != X3
| ~ ssList(X1)
| ~ ssList(X3)
| frontsegP(X3,X1)
| ~ ssList(X2) ),
inference(rename_variables,[],[i_0_256]) ).
cnf(i_0_481,plain,
segmentP(esk50_0,esk53_0),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_377,i_0_378,i_0_379,i_0_380,i_0_367,i_0_384,i_0_390,i_0_348,i_0_349,i_0_350,i_0_351,i_0_352,i_0_450,i_0_452,i_0_423,i_0_280,i_0_445,i_0_255,i_0_256,i_0_210]) ).
cnf(i_0_482,plain,
( app(app(X1,X2),X3) != X4
| ~ ssList(X2)
| ~ ssList(X4)
| segmentP(X4,X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
inference(rename_variables,[],[i_0_210]) ).
cnf(i_0_483,plain,
frontsegP(cons(esk2_0,esk54_0),cons(esk2_0,esk54_0)),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_377,i_0_378,i_0_379,i_0_380,i_0_367,i_0_384,i_0_390,i_0_348,i_0_349,i_0_350,i_0_351,i_0_352,i_0_450,i_0_452,i_0_423,i_0_280,i_0_445,i_0_255,i_0_256,i_0_210,i_0_438]) ).
cnf(i_0_484,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X3)
| frontsegP(cons(X3,X2),cons(X3,X1))
| ~ frontsegP(X2,X1) ),
inference(rename_variables,[],[i_0_438]) ).
cnf(i_0_485,plain,
( X1 = esk51_0
| X1 != esk49_0 ),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_377,i_0_378,i_0_379,i_0_380,i_0_387,i_0_367,i_0_384,i_0_390,i_0_348,i_0_349,i_0_350,i_0_351,i_0_352,i_0_450,i_0_452,i_0_423,i_0_280,i_0_445,i_0_255,i_0_256,i_0_210,i_0_438,i_0_391]) ).
cnf(i_0_486,plain,
( cyclefreeP(esk51_0)
| nil != esk49_0 ),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_377,i_0_378,i_0_379,i_0_380,i_0_387,i_0_367,i_0_375,i_0_384,i_0_390,i_0_348,i_0_349,i_0_350,i_0_351,i_0_352,i_0_450,i_0_452,i_0_423,i_0_280,i_0_445,i_0_255,i_0_256,i_0_210,i_0_438,i_0_391,i_0_404]) ).
cnf(i_0_487,plain,
( duplicatefreeP(esk51_0)
| nil != esk49_0 ),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_377,i_0_378,i_0_379,i_0_380,i_0_387,i_0_367,i_0_370,i_0_375,i_0_384,i_0_390,i_0_348,i_0_349,i_0_350,i_0_351,i_0_352,i_0_450,i_0_452,i_0_423,i_0_280,i_0_445,i_0_255,i_0_256,i_0_210,i_0_438,i_0_391,i_0_404,i_0_405]) ).
cnf(i_0_488,plain,
( equalelemsP(esk51_0)
| nil != esk49_0 ),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_377,i_0_378,i_0_379,i_0_380,i_0_387,i_0_367,i_0_369,i_0_370,i_0_375,i_0_384,i_0_390,i_0_348,i_0_349,i_0_350,i_0_351,i_0_352,i_0_450,i_0_452,i_0_423,i_0_280,i_0_445,i_0_255,i_0_256,i_0_210,i_0_438,i_0_391,i_0_404,i_0_405,i_0_406]) ).
cnf(i_0_489,plain,
( ~ neq(esk50_0,esk50_0)
| nil != esk49_0 ),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_377,i_0_378,i_0_379,i_0_380,i_0_387,i_0_367,i_0_369,i_0_370,i_0_375,i_0_384,i_0_390,i_0_348,i_0_349,i_0_350,i_0_351,i_0_352,i_0_450,i_0_452,i_0_423,i_0_280,i_0_445,i_0_255,i_0_256,i_0_210,i_0_438,i_0_391,i_0_404,i_0_405,i_0_406,i_0_419]) ).
cnf(i_0_490,plain,
( ~ neq(app(app(esk52_0,esk53_0),esk54_0),app(app(esk52_0,esk53_0),esk54_0))
| nil != esk49_0 ),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_377,i_0_378,i_0_379,i_0_380,i_0_387,i_0_367,i_0_369,i_0_370,i_0_375,i_0_384,i_0_390,i_0_348,i_0_349,i_0_350,i_0_351,i_0_352,i_0_450,i_0_452,i_0_423,i_0_280,i_0_445,i_0_255,i_0_256,i_0_210,i_0_438,i_0_391,i_0_404,i_0_405,i_0_406,i_0_419,i_0_420]) ).
cnf(i_0_491,plain,
( strictorderP(esk51_0)
| nil != esk49_0 ),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_377,i_0_378,i_0_379,i_0_380,i_0_387,i_0_367,i_0_369,i_0_370,i_0_373,i_0_375,i_0_384,i_0_390,i_0_348,i_0_349,i_0_350,i_0_351,i_0_352,i_0_450,i_0_452,i_0_423,i_0_280,i_0_445,i_0_255,i_0_256,i_0_210,i_0_438,i_0_391,i_0_404,i_0_405,i_0_406,i_0_419,i_0_420,i_0_428]) ).
cnf(i_0_492,plain,
( totalorderP(esk51_0)
| nil != esk49_0 ),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_377,i_0_378,i_0_379,i_0_380,i_0_387,i_0_367,i_0_369,i_0_370,i_0_373,i_0_374,i_0_375,i_0_384,i_0_390,i_0_348,i_0_349,i_0_350,i_0_351,i_0_352,i_0_450,i_0_452,i_0_423,i_0_280,i_0_445,i_0_255,i_0_256,i_0_210,i_0_438,i_0_391,i_0_404,i_0_405,i_0_406,i_0_419,i_0_420,i_0_428,i_0_429]) ).
cnf(i_0_493,plain,
( strictorderedP(esk51_0)
| nil != esk49_0 ),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_377,i_0_378,i_0_379,i_0_380,i_0_387,i_0_367,i_0_369,i_0_370,i_0_371,i_0_373,i_0_374,i_0_375,i_0_384,i_0_390,i_0_348,i_0_349,i_0_350,i_0_351,i_0_352,i_0_450,i_0_452,i_0_423,i_0_280,i_0_445,i_0_255,i_0_256,i_0_210,i_0_438,i_0_391,i_0_404,i_0_405,i_0_406,i_0_419,i_0_420,i_0_428,i_0_429,i_0_430]) ).
cnf(i_0_494,plain,
( totalorderedP(esk51_0)
| nil != esk49_0 ),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_377,i_0_378,i_0_379,i_0_380,i_0_387,i_0_367,i_0_369,i_0_370,i_0_371,i_0_372,i_0_373,i_0_374,i_0_375,i_0_384,i_0_390,i_0_348,i_0_349,i_0_350,i_0_351,i_0_352,i_0_450,i_0_452,i_0_423,i_0_280,i_0_445,i_0_255,i_0_256,i_0_210,i_0_438,i_0_391,i_0_404,i_0_405,i_0_406,i_0_419,i_0_420,i_0_428,i_0_429,i_0_430,i_0_431]) ).
cnf(i_0_495,plain,
( nil != esk49_0
| segmentP(nil,esk51_0) ),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_377,i_0_378,i_0_379,i_0_380,i_0_387,i_0_367,i_0_369,i_0_370,i_0_371,i_0_372,i_0_373,i_0_374,i_0_375,i_0_384,i_0_390,i_0_348,i_0_349,i_0_350,i_0_351,i_0_352,i_0_450,i_0_452,i_0_423,i_0_280,i_0_445,i_0_255,i_0_256,i_0_210,i_0_438,i_0_391,i_0_404,i_0_405,i_0_406,i_0_419,i_0_420,i_0_428,i_0_429,i_0_430,i_0_431,i_0_311]) ).
cnf(i_0_496,plain,
( nil != X1
| segmentP(nil,X1)
| ~ ssList(X1) ),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_497,plain,
( nil != esk49_0
| rearsegP(nil,esk51_0) ),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_377,i_0_378,i_0_379,i_0_380,i_0_387,i_0_367,i_0_369,i_0_370,i_0_371,i_0_372,i_0_373,i_0_374,i_0_375,i_0_384,i_0_390,i_0_348,i_0_349,i_0_350,i_0_351,i_0_352,i_0_450,i_0_452,i_0_423,i_0_280,i_0_445,i_0_255,i_0_256,i_0_210,i_0_438,i_0_391,i_0_404,i_0_405,i_0_406,i_0_419,i_0_420,i_0_428,i_0_429,i_0_430,i_0_431,i_0_311,i_0_312]) ).
cnf(i_0_498,plain,
( nil != X1
| rearsegP(nil,X1)
| ~ ssList(X1) ),
inference(rename_variables,[],[i_0_312]) ).
cnf(i_0_499,plain,
( nil != esk49_0
| frontsegP(nil,esk51_0) ),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_377,i_0_378,i_0_379,i_0_380,i_0_387,i_0_367,i_0_369,i_0_370,i_0_371,i_0_372,i_0_373,i_0_374,i_0_375,i_0_384,i_0_390,i_0_348,i_0_349,i_0_350,i_0_351,i_0_352,i_0_450,i_0_452,i_0_423,i_0_280,i_0_445,i_0_255,i_0_256,i_0_210,i_0_438,i_0_391,i_0_404,i_0_405,i_0_406,i_0_419,i_0_420,i_0_428,i_0_429,i_0_430,i_0_431,i_0_311,i_0_312,i_0_313]) ).
cnf(i_0_500,plain,
( nil != X1
| frontsegP(nil,X1)
| ~ ssList(X1) ),
inference(rename_variables,[],[i_0_313]) ).
cnf(i_0_501,plain,
( ~ ssItem(app(app(esk52_0,esk53_0),esk54_0))
| frontsegP(app(esk54_0,esk54_0),esk54_0)
| esk2_0 != esk50_0
| ~ ssList(app(esk54_0,esk54_0))
| nil != esk49_0 ),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_377,i_0_378,i_0_379,i_0_380,i_0_387,i_0_367,i_0_369,i_0_370,i_0_371,i_0_372,i_0_373,i_0_374,i_0_375,i_0_384,i_0_390,i_0_348,i_0_349,i_0_350,i_0_351,i_0_352,i_0_450,i_0_452,i_0_423,i_0_280,i_0_445,i_0_255,i_0_256,i_0_210,i_0_438,i_0_391,i_0_404,i_0_405,i_0_406,i_0_419,i_0_420,i_0_428,i_0_429,i_0_430,i_0_431,i_0_311,i_0_312,i_0_313,i_0_422,i_0_282,i_0_302,i_0_303,i_0_447]) ).
cnf(i_0_502,plain,
esk49_0 = esk51_0,
inference(equality_inference,[],[485]) ).
cnf(i_0_503,plain,
segmentP(esk49_0,esk49_0),
inference(scs_inference,[],[i_0_381,i_0_350]) ).
cnf(i_0_504,plain,
( ~ ssList(X1)
| segmentP(X1,X1) ),
inference(rename_variables,[],[i_0_350]) ).
cnf(i_0_505,plain,
rearsegP(esk49_0,esk49_0),
inference(scs_inference,[],[i_0_381,i_0_350,i_0_351]) ).
cnf(i_0_506,plain,
( ~ ssList(X1)
| rearsegP(X1,X1) ),
inference(rename_variables,[],[i_0_351]) ).
cnf(i_0_507,plain,
frontsegP(esk49_0,esk49_0),
inference(scs_inference,[],[i_0_381,i_0_350,i_0_351,i_0_352]) ).
cnf(i_0_508,plain,
( ~ ssList(X1)
| frontsegP(X1,X1) ),
inference(rename_variables,[],[i_0_352]) ).
cnf(i_0_509,plain,
geq(esk1_0,esk1_0),
inference(scs_inference,[],[i_0_381,i_0_385,i_0_350,i_0_351,i_0_352,i_0_348]) ).
cnf(i_0_510,plain,
( ~ ssItem(X1)
| geq(X1,X1) ),
inference(rename_variables,[],[i_0_348]) ).
cnf(i_0_511,plain,
leq(esk1_0,esk1_0),
inference(scs_inference,[],[i_0_381,i_0_385,i_0_350,i_0_351,i_0_352,i_0_348,i_0_349]) ).
cnf(i_0_512,plain,
( ~ ssItem(X1)
| leq(X1,X1) ),
inference(rename_variables,[],[i_0_349]) ).
cnf(i_0_513,plain,
esk50_0 = esk48_0,
inference(scs_inference,[],[i_0_381,i_0_388,i_0_385,i_0_350,i_0_351,i_0_352,i_0_348,i_0_349,i_0_390]) ).
cnf(i_0_514,plain,
~ neq(esk49_0,esk49_0),
inference(scs_inference,[],[i_0_381,i_0_388,i_0_385,i_0_350,i_0_351,i_0_352,i_0_348,i_0_349,i_0_390,i_0_450]) ).
cnf(i_0_515,plain,
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(rename_variables,[],[i_0_450]) ).
cnf(i_0_516,plain,
~ neq(esk1_0,esk1_0),
inference(scs_inference,[],[i_0_381,i_0_388,i_0_385,i_0_350,i_0_351,i_0_352,i_0_348,i_0_349,i_0_390,i_0_450,i_0_452]) ).
cnf(i_0_517,plain,
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(rename_variables,[],[i_0_452]) ).
cnf(i_0_518,plain,
app(app(esk52_0,esk53_0),esk54_0) = esk48_0,
inference(scs_inference,[],[i_0_301,i_0_381,i_0_388,i_0_385,i_0_350,i_0_351,i_0_352,i_0_348,i_0_349,i_0_390,i_0_450,i_0_452,i_0_391]) ).
cnf(i_0_519,plain,
~ neq(esk50_0,esk50_0),
inference(scs_inference,[],[i_0_301,i_0_381,i_0_388,i_0_473,i_0_457,i_0_385,i_0_350,i_0_351,i_0_352,i_0_348,i_0_349,i_0_390,i_0_450,i_0_452,i_0_391,i_0_419]) ).
cnf(i_0_520,plain,
~ neq(app(app(esk52_0,esk53_0),esk54_0),app(app(esk52_0,esk53_0),esk54_0)),
inference(scs_inference,[],[i_0_301,i_0_381,i_0_388,i_0_473,i_0_457,i_0_385,i_0_350,i_0_351,i_0_352,i_0_348,i_0_349,i_0_390,i_0_450,i_0_452,i_0_391,i_0_419,i_0_420]) ).
cnf(i_0_521,plain,
memberP(cons(esk1_0,esk54_0),esk1_0),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_381,i_0_388,i_0_473,i_0_457,i_0_385,i_0_350,i_0_351,i_0_352,i_0_348,i_0_349,i_0_390,i_0_450,i_0_452,i_0_391,i_0_419,i_0_420,i_0_445]) ).
cnf(i_0_522,plain,
( ~ ssItem(X1)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1)
| ~ ssList(X2) ),
inference(rename_variables,[],[i_0_445]) ).
cnf(i_0_523,plain,
~ neq(esk48_0,esk50_0),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_381,i_0_382,i_0_388,i_0_380,i_0_473,i_0_457,i_0_385,i_0_350,i_0_351,i_0_352,i_0_348,i_0_349,i_0_390,i_0_450,i_0_452,i_0_391,i_0_419,i_0_420,i_0_445,i_0_280]) ).
cnf(i_0_524,plain,
( X1 != X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ neq(X1,X2) ),
inference(rename_variables,[],[i_0_280]) ).
cnf(i_0_525,plain,
app(esk52_0,esk54_0) != esk49_0,
inference(scs_inference,[],[i_0_301,i_0_376,i_0_381,i_0_382,i_0_388,i_0_377,i_0_378,i_0_380,i_0_473,i_0_457,i_0_385,i_0_350,i_0_351,i_0_352,i_0_348,i_0_349,i_0_390,i_0_450,i_0_452,i_0_391,i_0_419,i_0_420,i_0_445,i_0_280,i_0_212]) ).
cnf(i_0_526,plain,
( app(app(X1,X2),X3) != esk48_0
| app(X1,X3) != esk49_0
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(rename_variables,[],[i_0_212]) ).
cnf(i_0_527,plain,
segmentP(esk48_0,esk53_0),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_381,i_0_382,i_0_388,i_0_377,i_0_378,i_0_380,i_0_473,i_0_457,i_0_385,i_0_350,i_0_351,i_0_352,i_0_348,i_0_349,i_0_390,i_0_450,i_0_452,i_0_391,i_0_419,i_0_420,i_0_445,i_0_280,i_0_212,i_0_210]) ).
cnf(i_0_528,plain,
( app(app(X1,X2),X3) != X4
| ~ ssList(X2)
| ~ ssList(X4)
| segmentP(X4,X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
inference(rename_variables,[],[i_0_210]) ).
cnf(i_0_529,plain,
frontsegP(cons(esk2_0,esk49_0),cons(esk2_0,esk49_0)),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_381,i_0_382,i_0_388,i_0_377,i_0_378,i_0_380,i_0_473,i_0_457,i_0_384,i_0_385,i_0_350,i_0_351,i_0_352,i_0_348,i_0_349,i_0_390,i_0_450,i_0_452,i_0_391,i_0_419,i_0_420,i_0_445,i_0_280,i_0_212,i_0_210,i_0_438]) ).
cnf(i_0_530,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X3)
| frontsegP(cons(X3,X2),cons(X3,X1))
| ~ frontsegP(X2,X1) ),
inference(rename_variables,[],[i_0_438]) ).
cnf(i_0_531,plain,
( cyclefreeP(X1)
| nil != X1 ),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_381,i_0_382,i_0_388,i_0_377,i_0_378,i_0_380,i_0_473,i_0_457,i_0_384,i_0_385,i_0_375,i_0_350,i_0_351,i_0_352,i_0_348,i_0_349,i_0_390,i_0_450,i_0_452,i_0_391,i_0_419,i_0_420,i_0_445,i_0_280,i_0_212,i_0_210,i_0_438,i_0_404]) ).
cnf(i_0_532,plain,
( ~ ssList(app(app(esk54_0,cons(esk2_0,esk54_0)),cons(esk2_0,esk54_0)))
| nil != app(app(esk54_0,cons(esk2_0,esk54_0)),cons(esk2_0,esk54_0)) ),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_381,i_0_382,i_0_388,i_0_377,i_0_378,i_0_380,i_0_473,i_0_457,i_0_384,i_0_460,i_0_385,i_0_375,i_0_350,i_0_351,i_0_352,i_0_348,i_0_349,i_0_390,i_0_450,i_0_452,i_0_391,i_0_419,i_0_420,i_0_445,i_0_280,i_0_212,i_0_210,i_0_438,i_0_404,i_0_432]) ).
cnf(i_0_533,plain,
( ~ leq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| ~ leq(X2,X1)
| ~ ssList(app(app(X3,cons(X2,X4)),cons(X1,X5)))
| ~ cyclefreeP(app(app(X3,cons(X2,X4)),cons(X1,X5))) ),
inference(rename_variables,[],[i_0_432]) ).
cnf(i_0_534,plain,
( esk54_0 != app(app(esk54_0,cons(esk2_0,esk54_0)),cons(esk2_0,esk54_0))
| nil != app(app(esk54_0,cons(esk2_0,esk54_0)),cons(esk2_0,esk54_0)) ),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_381,i_0_382,i_0_388,i_0_377,i_0_378,i_0_380,i_0_473,i_0_457,i_0_384,i_0_460,i_0_385,i_0_369,i_0_370,i_0_375,i_0_350,i_0_351,i_0_352,i_0_348,i_0_349,i_0_390,i_0_450,i_0_452,i_0_391,i_0_419,i_0_420,i_0_445,i_0_280,i_0_212,i_0_210,i_0_438,i_0_404,i_0_432,i_0_278,i_0_405,i_0_406,i_0_422,i_0_423]) ).
cnf(i_0_535,plain,
( strictorderP(X1)
| nil != app(app(esk54_0,cons(esk2_0,esk54_0)),cons(esk2_0,esk54_0))
| nil != X1 ),
inference(scs_inference,[],[i_0_301,i_0_376,i_0_381,i_0_382,i_0_388,i_0_377,i_0_378,i_0_380,i_0_473,i_0_457,i_0_384,i_0_460,i_0_385,i_0_369,i_0_370,i_0_373,i_0_375,i_0_350,i_0_351,i_0_352,i_0_348,i_0_349,i_0_390,i_0_450,i_0_452,i_0_391,i_0_419,i_0_420,i_0_445,i_0_280,i_0_212,i_0_210,i_0_438,i_0_404,i_0_432,i_0_423,i_0_428]) ).
cnf(i_0_536,plain,
cyclefreeP(nil),
inference(equality_inference,[],[531]) ).
cnf(i_0_537,plain,
segmentP(esk48_0,esk48_0),
inference(scs_inference,[],[i_0_382,i_0_350]) ).
cnf(i_0_538,plain,
( ~ ssList(X1)
| segmentP(X1,X1) ),
inference(rename_variables,[],[i_0_350]) ).
cnf(i_0_539,plain,
rearsegP(esk48_0,esk48_0),
inference(scs_inference,[],[i_0_382,i_0_350,i_0_351]) ).
cnf(i_0_540,plain,
( ~ ssList(X1)
| rearsegP(X1,X1) ),
inference(rename_variables,[],[i_0_351]) ).
cnf(i_0_541,plain,
frontsegP(esk48_0,esk48_0),
inference(scs_inference,[],[i_0_382,i_0_350,i_0_351,i_0_352]) ).
cnf(i_0_542,plain,
( ~ ssList(X1)
| frontsegP(X1,X1) ),
inference(rename_variables,[],[i_0_352]) ).
cnf(i_0_543,plain,
esk51_0 = app(esk52_0,esk54_0),
inference(scs_inference,[],[i_0_367,i_0_382,i_0_350,i_0_351,i_0_352,i_0_390]) ).
cnf(i_0_544,plain,
~ neq(esk48_0,esk48_0),
inference(scs_inference,[],[i_0_367,i_0_382,i_0_350,i_0_351,i_0_352,i_0_390,i_0_450]) ).
cnf(i_0_545,plain,
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(rename_variables,[],[i_0_450]) ).
cnf(i_0_546,plain,
~ neq(esk50_0,app(app(esk52_0,esk53_0),esk54_0)),
inference(scs_inference,[],[i_0_367,i_0_382,i_0_520,i_0_457,i_0_350,i_0_351,i_0_352,i_0_390,i_0_450,i_0_419]) ).
cnf(i_0_547,plain,
~ neq(esk48_0,app(app(esk52_0,esk53_0),esk54_0)),
inference(scs_inference,[],[i_0_301,i_0_367,i_0_382,i_0_520,i_0_523,i_0_457,i_0_350,i_0_351,i_0_352,i_0_390,i_0_450,i_0_419,i_0_420]) ).
cnf(i_0_548,plain,
ssList(app(esk52_0,esk54_0)),
inference(scs_inference,[],[i_0_301,i_0_367,i_0_382,i_0_379,i_0_520,i_0_523,i_0_457,i_0_350,i_0_351,i_0_352,i_0_390,i_0_450,i_0_419,i_0_420,i_0_423]) ).
cnf(i_0_549,plain,
esk48_0 = app(app(esk52_0,esk53_0),esk54_0),
inference(scs_inference,[],[i_0_301,i_0_367,i_0_382,i_0_379,i_0_472,i_0_520,i_0_523,i_0_457,i_0_350,i_0_351,i_0_352,i_0_390,i_0_450,i_0_419,i_0_420,i_0_423,i_0_302]) ).
cnf(i_0_550,plain,
( neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_551,plain,
~ neq(app(esk52_0,esk54_0),esk51_0),
inference(scs_inference,[],[i_0_301,i_0_367,i_0_382,i_0_379,i_0_472,i_0_520,i_0_523,i_0_457,i_0_350,i_0_351,i_0_352,i_0_390,i_0_450,i_0_419,i_0_420,i_0_423,i_0_302,i_0_280]) ).
cnf(i_0_552,plain,
( X1 != X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ neq(X1,X2) ),
inference(rename_variables,[],[i_0_280]) ).
cnf(i_0_553,plain,
frontsegP(cons(esk2_0,esk48_0),cons(esk2_0,esk48_0)),
inference(scs_inference,[],[i_0_301,i_0_367,i_0_382,i_0_379,i_0_472,i_0_520,i_0_523,i_0_457,i_0_384,i_0_350,i_0_351,i_0_352,i_0_390,i_0_450,i_0_419,i_0_420,i_0_423,i_0_302,i_0_280,i_0_438]) ).
cnf(i_0_554,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X3)
| frontsegP(cons(X3,X2),cons(X3,X1))
| ~ frontsegP(X2,X1) ),
inference(rename_variables,[],[i_0_438]) ).
cnf(i_0_555,plain,
( totalorderP(X1)
| nil != X1 ),
inference(scs_inference,[],[i_0_301,i_0_367,i_0_382,i_0_379,i_0_472,i_0_520,i_0_523,i_0_457,i_0_384,i_0_374,i_0_350,i_0_351,i_0_352,i_0_390,i_0_450,i_0_419,i_0_420,i_0_423,i_0_302,i_0_280,i_0_438,i_0_429]) ).
cnf(i_0_556,plain,
( strictorderedP(X1)
| nil != X1 ),
inference(scs_inference,[],[i_0_301,i_0_367,i_0_382,i_0_379,i_0_472,i_0_520,i_0_523,i_0_457,i_0_384,i_0_371,i_0_374,i_0_350,i_0_351,i_0_352,i_0_390,i_0_450,i_0_419,i_0_420,i_0_423,i_0_302,i_0_280,i_0_438,i_0_429,i_0_430]) ).
cnf(i_0_557,plain,
( totalorderedP(X1)
| nil != X1 ),
inference(scs_inference,[],[i_0_301,i_0_367,i_0_382,i_0_379,i_0_472,i_0_520,i_0_523,i_0_457,i_0_384,i_0_371,i_0_372,i_0_374,i_0_350,i_0_351,i_0_352,i_0_390,i_0_450,i_0_419,i_0_420,i_0_423,i_0_302,i_0_280,i_0_438,i_0_429,i_0_430,i_0_431]) ).
cnf(i_0_558,plain,
( duplicatefreeP(X1)
| nil != X1 ),
inference(scs_inference,[],[i_0_301,i_0_367,i_0_382,i_0_379,i_0_472,i_0_520,i_0_523,i_0_457,i_0_384,i_0_371,i_0_372,i_0_374,i_0_370,i_0_350,i_0_351,i_0_352,i_0_390,i_0_450,i_0_419,i_0_420,i_0_423,i_0_302,i_0_280,i_0_438,i_0_429,i_0_430,i_0_431,i_0_405]) ).
cnf(i_0_559,plain,
( equalelemsP(X1)
| nil != X1 ),
inference(scs_inference,[],[i_0_301,i_0_367,i_0_382,i_0_379,i_0_472,i_0_520,i_0_523,i_0_457,i_0_384,i_0_371,i_0_372,i_0_374,i_0_369,i_0_370,i_0_350,i_0_351,i_0_352,i_0_390,i_0_450,i_0_419,i_0_420,i_0_423,i_0_302,i_0_280,i_0_438,i_0_429,i_0_430,i_0_431,i_0_405,i_0_406]) ).
cnf(i_0_560,plain,
( ssItem(X1)
| esk2_0 != X1 ),
inference(scs_inference,[],[i_0_301,i_0_367,i_0_382,i_0_379,i_0_472,i_0_520,i_0_523,i_0_457,i_0_384,i_0_371,i_0_372,i_0_374,i_0_369,i_0_370,i_0_350,i_0_351,i_0_352,i_0_390,i_0_450,i_0_419,i_0_420,i_0_423,i_0_302,i_0_280,i_0_438,i_0_429,i_0_430,i_0_431,i_0_405,i_0_406,i_0_422]) ).
cnf(i_0_561,plain,
totalorderP(nil),
inference(equality_inference,[],[555]) ).
cnf(i_0_562,plain,
strictorderedP(nil),
inference(equality_inference,[],[556]) ).
cnf(i_0_563,plain,
totalorderedP(nil),
inference(equality_inference,[],[557]) ).
cnf(i_0_564,plain,
duplicatefreeP(nil),
inference(equality_inference,[],[558]) ).
cnf(i_0_565,plain,
equalelemsP(nil),
inference(equality_inference,[],[559]) ).
cnf(i_0_566,plain,
ssItem(esk2_0),
inference(equality_inference,[],[560]) ).
cnf(i_0_567,plain,
segmentP(esk50_0,esk50_0),
inference(scs_inference,[],[i_0_380,i_0_350]) ).
cnf(i_0_568,plain,
( ~ ssList(X1)
| segmentP(X1,X1) ),
inference(rename_variables,[],[i_0_350]) ).
cnf(i_0_569,plain,
rearsegP(esk50_0,esk50_0),
inference(scs_inference,[],[i_0_380,i_0_350,i_0_351]) ).
cnf(i_0_570,plain,
( ~ ssList(X1)
| rearsegP(X1,X1) ),
inference(rename_variables,[],[i_0_351]) ).
cnf(i_0_571,plain,
frontsegP(esk50_0,esk50_0),
inference(scs_inference,[],[i_0_380,i_0_350,i_0_351,i_0_352]) ).
cnf(i_0_572,plain,
( ~ ssList(X1)
| frontsegP(X1,X1) ),
inference(rename_variables,[],[i_0_352]) ).
cnf(i_0_573,plain,
esk51_0 = esk49_0,
inference(scs_inference,[],[i_0_387,i_0_380,i_0_350,i_0_351,i_0_352,i_0_390]) ).
cnf(i_0_574,plain,
~ neq(esk53_0,esk53_0),
inference(scs_inference,[],[i_0_387,i_0_380,i_0_377,i_0_350,i_0_351,i_0_352,i_0_390,i_0_450]) ).
cnf(i_0_575,plain,
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(rename_variables,[],[i_0_450]) ).
cnf(i_0_576,plain,
$false,
inference(scs_inference,[],[i_0_367,i_0_387,i_0_380,i_0_525,i_0_377,i_0_350,i_0_351,i_0_352,i_0_390,i_0_450,i_0_391]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SWC095+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.07/0.24 % Computer : n012.cluster.edu
% 0.07/0.24 % Model : x86_64 x86_64
% 0.07/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.24 % Memory : 8042.1875MB
% 0.07/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.24 % CPULimit : 300
% 0.07/0.24 % WCLimit : 300
% 0.07/0.24 % DateTime : Tue May 5 04:25:31 EDT 2026
% 0.07/0.24 % CPUTime :
% 0.07/0.25 % start to proof: theBenchmark
% 0.23/1.52 % Version : CSE_E---1.7
% 0.23/1.52 % Problem : theBenchmark.p
% 0.23/1.52 % SZS status Theorem for theBenchmark.p
% 0.23/1.52 % SZS output start CNFRefutation
% See solution above
% 0.53/1.88 % Total time : 1.263s
%------------------------------------------------------------------------------