%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC041+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 : n021.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 05:18:01 PM UTC 2026
% Result : Theorem 0.55s 1.61s
% Output : CNFRefutation 1.16s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 189)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( nil != X2
| X2 != X4
| X1 != X3
| nil = X1
| ! [X5] :
( ssList(X5)
=> ( app(X3,X5) != X4
| ~ equalelemsP(X3)
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(cons(X6,nil),X7) = X5
& ? [X8] :
( ssList(X8)
& app(X8,cons(X6,nil)) = X3 ) ) ) ) )
| ( nil != X4
& nil = X3 ) ) ) ) ) ),
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)
=> ( nil != X2
| X2 != X4
| X1 != X3
| nil = X1
| ! [X5] :
( ssList(X5)
=> ( app(X3,X5) != X4
| ~ equalelemsP(X3)
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(cons(X6,nil),X7) = X5
& ? [X8] :
( ssList(X8)
& app(X8,cons(X6,nil)) = X3 ) ) ) ) )
| ( nil != X4
& nil = X3 ) ) ) ) ) ),
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,
! [X247,X248,X249,X250,X251,X252] :
( ( ~ cyclefreeP(X247)
| ~ ssItem(X248)
| ~ ssItem(X249)
| ~ ssList(X250)
| ~ ssList(X251)
| ~ ssList(X252)
| app(app(X250,cons(X248,X251)),cons(X249,X252)) != X247
| ~ leq(X248,X249)
| ~ leq(X249,X248)
| ~ ssList(X247) )
& ( ssItem(esk10_1(X247))
| cyclefreeP(X247)
| ~ ssList(X247) )
& ( ssItem(esk11_1(X247))
| cyclefreeP(X247)
| ~ ssList(X247) )
& ( ssList(esk12_1(X247))
| cyclefreeP(X247)
| ~ ssList(X247) )
& ( ssList(esk13_1(X247))
| cyclefreeP(X247)
| ~ ssList(X247) )
& ( ssList(esk14_1(X247))
| cyclefreeP(X247)
| ~ ssList(X247) )
& ( app(app(esk12_1(X247),cons(esk10_1(X247),esk13_1(X247))),cons(esk11_1(X247),esk14_1(X247))) = X247
| cyclefreeP(X247)
| ~ ssList(X247) )
& ( leq(esk10_1(X247),esk11_1(X247))
| cyclefreeP(X247)
| ~ ssList(X247) )
& ( leq(esk11_1(X247),esk10_1(X247))
| cyclefreeP(X247)
| ~ ssList(X247) ) ),
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,
! [X269,X270,X271,X272,X273,X274] :
( ( ~ strictorderP(X269)
| ~ ssItem(X270)
| ~ ssItem(X271)
| ~ ssList(X272)
| ~ ssList(X273)
| ~ ssList(X274)
| app(app(X272,cons(X270,X273)),cons(X271,X274)) != X269
| lt(X270,X271)
| lt(X271,X270)
| ~ ssList(X269) )
& ( ssItem(esk20_1(X269))
| strictorderP(X269)
| ~ ssList(X269) )
& ( ssItem(esk21_1(X269))
| strictorderP(X269)
| ~ ssList(X269) )
& ( ssList(esk22_1(X269))
| strictorderP(X269)
| ~ ssList(X269) )
& ( ssList(esk23_1(X269))
| strictorderP(X269)
| ~ ssList(X269) )
& ( ssList(esk24_1(X269))
| strictorderP(X269)
| ~ ssList(X269) )
& ( app(app(esk22_1(X269),cons(esk20_1(X269),esk23_1(X269))),cons(esk21_1(X269),esk24_1(X269))) = X269
| strictorderP(X269)
| ~ ssList(X269) )
& ( ~ lt(esk20_1(X269),esk21_1(X269))
| strictorderP(X269)
| ~ ssList(X269) )
& ( ~ lt(esk21_1(X269),esk20_1(X269))
| strictorderP(X269)
| ~ ssList(X269) ) ),
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,
! [X258,X259,X260,X261,X262,X263] :
( ( ~ totalorderP(X258)
| ~ ssItem(X259)
| ~ ssItem(X260)
| ~ ssList(X261)
| ~ ssList(X262)
| ~ ssList(X263)
| app(app(X261,cons(X259,X262)),cons(X260,X263)) != X258
| leq(X259,X260)
| leq(X260,X259)
| ~ ssList(X258) )
& ( ssItem(esk15_1(X258))
| totalorderP(X258)
| ~ ssList(X258) )
& ( ssItem(esk16_1(X258))
| totalorderP(X258)
| ~ ssList(X258) )
& ( ssList(esk17_1(X258))
| totalorderP(X258)
| ~ ssList(X258) )
& ( ssList(esk18_1(X258))
| totalorderP(X258)
| ~ ssList(X258) )
& ( ssList(esk19_1(X258))
| totalorderP(X258)
| ~ ssList(X258) )
& ( app(app(esk17_1(X258),cons(esk15_1(X258),esk18_1(X258))),cons(esk16_1(X258),esk19_1(X258))) = X258
| totalorderP(X258)
| ~ ssList(X258) )
& ( ~ leq(esk15_1(X258),esk16_1(X258))
| totalorderP(X258)
| ~ ssList(X258) )
& ( ~ leq(esk16_1(X258),esk15_1(X258))
| totalorderP(X258)
| ~ ssList(X258) ) ),
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,
! [X291,X292,X293,X294,X295,X296] :
( ( ~ strictorderedP(X291)
| ~ ssItem(X292)
| ~ ssItem(X293)
| ~ ssList(X294)
| ~ ssList(X295)
| ~ ssList(X296)
| app(app(X294,cons(X292,X295)),cons(X293,X296)) != X291
| lt(X292,X293)
| ~ ssList(X291) )
& ( ssItem(esk30_1(X291))
| strictorderedP(X291)
| ~ ssList(X291) )
& ( ssItem(esk31_1(X291))
| strictorderedP(X291)
| ~ ssList(X291) )
& ( ssList(esk32_1(X291))
| strictorderedP(X291)
| ~ ssList(X291) )
& ( ssList(esk33_1(X291))
| strictorderedP(X291)
| ~ ssList(X291) )
& ( ssList(esk34_1(X291))
| strictorderedP(X291)
| ~ ssList(X291) )
& ( app(app(esk32_1(X291),cons(esk30_1(X291),esk33_1(X291))),cons(esk31_1(X291),esk34_1(X291))) = X291
| strictorderedP(X291)
| ~ ssList(X291) )
& ( ~ lt(esk30_1(X291),esk31_1(X291))
| strictorderedP(X291)
| ~ ssList(X291) ) ),
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,
! [X280,X281,X282,X283,X284,X285] :
( ( ~ totalorderedP(X280)
| ~ ssItem(X281)
| ~ ssItem(X282)
| ~ ssList(X283)
| ~ ssList(X284)
| ~ ssList(X285)
| app(app(X283,cons(X281,X284)),cons(X282,X285)) != X280
| leq(X281,X282)
| ~ ssList(X280) )
& ( ssItem(esk25_1(X280))
| totalorderedP(X280)
| ~ ssList(X280) )
& ( ssItem(esk26_1(X280))
| totalorderedP(X280)
| ~ ssList(X280) )
& ( ssList(esk27_1(X280))
| totalorderedP(X280)
| ~ ssList(X280) )
& ( ssList(esk28_1(X280))
| totalorderedP(X280)
| ~ ssList(X280) )
& ( ssList(esk29_1(X280))
| totalorderedP(X280)
| ~ ssList(X280) )
& ( app(app(esk27_1(X280),cons(esk25_1(X280),esk28_1(X280))),cons(esk26_1(X280),esk29_1(X280))) = X280
| totalorderedP(X280)
| ~ ssList(X280) )
& ( ~ leq(esk25_1(X280),esk26_1(X280))
| totalorderedP(X280)
| ~ ssList(X280) ) ),
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,
! [X302,X303,X304,X305,X306,X307] :
( ( ~ duplicatefreeP(X302)
| ~ ssItem(X303)
| ~ ssItem(X304)
| ~ ssList(X305)
| ~ ssList(X306)
| ~ ssList(X307)
| app(app(X305,cons(X303,X306)),cons(X304,X307)) != X302
| X303 != X304
| ~ ssList(X302) )
& ( ssItem(esk35_1(X302))
| duplicatefreeP(X302)
| ~ ssList(X302) )
& ( ssItem(esk36_1(X302))
| duplicatefreeP(X302)
| ~ ssList(X302) )
& ( ssList(esk37_1(X302))
| duplicatefreeP(X302)
| ~ ssList(X302) )
& ( ssList(esk38_1(X302))
| duplicatefreeP(X302)
| ~ ssList(X302) )
& ( ssList(esk39_1(X302))
| duplicatefreeP(X302)
| ~ ssList(X302) )
& ( app(app(esk37_1(X302),cons(esk35_1(X302),esk38_1(X302))),cons(esk36_1(X302),esk39_1(X302))) = X302
| duplicatefreeP(X302)
| ~ ssList(X302) )
& ( esk35_1(X302) = esk36_1(X302)
| duplicatefreeP(X302)
| ~ ssList(X302) ) ),
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,
! [X313,X314,X315,X316,X317] :
( ( ~ equalelemsP(X313)
| ~ ssItem(X314)
| ~ ssItem(X315)
| ~ ssList(X316)
| ~ ssList(X317)
| app(X316,cons(X314,cons(X315,X317))) != X313
| X314 = X315
| ~ ssList(X313) )
& ( ssItem(esk40_1(X313))
| equalelemsP(X313)
| ~ ssList(X313) )
& ( ssItem(esk41_1(X313))
| equalelemsP(X313)
| ~ ssList(X313) )
& ( ssList(esk42_1(X313))
| equalelemsP(X313)
| ~ ssList(X313) )
& ( ssList(esk43_1(X313))
| equalelemsP(X313)
| ~ ssList(X313) )
& ( app(esk42_1(X313),cons(esk40_1(X313),cons(esk41_1(X313),esk43_1(X313)))) = X313
| equalelemsP(X313)
| ~ ssList(X313) )
& ( esk40_1(X313) != esk41_1(X313)
| equalelemsP(X313)
| ~ ssList(X313) ) ),
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,
! [X241,X242,X245,X246] :
( ( ssList(esk8_2(X241,X242))
| ~ segmentP(X241,X242)
| ~ ssList(X242)
| ~ ssList(X241) )
& ( ssList(esk9_2(X241,X242))
| ~ segmentP(X241,X242)
| ~ ssList(X242)
| ~ ssList(X241) )
& ( app(app(esk8_2(X241,X242),X242),esk9_2(X241,X242)) = X241
| ~ segmentP(X241,X242)
| ~ ssList(X242)
| ~ ssList(X241) )
& ( ~ ssList(X245)
| ~ ssList(X246)
| app(app(X245,X242),X246) != X241
| segmentP(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)],[ax7])])])])]) ).
fof(i_0_109,plain,
! [X224,X225,X228,X229] :
( ( ssList(esk3_2(X224,X225))
| ~ memberP(X224,X225)
| ~ ssItem(X225)
| ~ ssList(X224) )
& ( ssList(esk4_2(X224,X225))
| ~ memberP(X224,X225)
| ~ ssItem(X225)
| ~ ssList(X224) )
& ( app(esk3_2(X224,X225),cons(X225,esk4_2(X224,X225))) = X224
| ~ memberP(X224,X225)
| ~ ssItem(X225)
| ~ ssList(X224) )
& ( ~ ssList(X228)
| ~ ssList(X229)
| app(X228,cons(X225,X229)) != X224
| memberP(X224,X225)
| ~ ssItem(X225)
| ~ ssList(X224) ) ),
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,
! [X380,X381,X382,X383] :
( ( X380 = X381
| ~ frontsegP(cons(X380,X382),cons(X381,X383))
| ~ ssList(X383)
| ~ ssList(X382)
| ~ ssItem(X381)
| ~ ssItem(X380) )
& ( frontsegP(X382,X383)
| ~ frontsegP(cons(X380,X382),cons(X381,X383))
| ~ ssList(X383)
| ~ ssList(X382)
| ~ ssItem(X381)
| ~ ssItem(X380) )
& ( X380 != X381
| ~ frontsegP(X382,X383)
| frontsegP(cons(X380,X382),cons(X381,X383))
| ~ ssList(X383)
| ~ ssList(X382)
| ~ ssItem(X381)
| ~ ssItem(X380) ) ),
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,
! [X403,X404,X405,X406] :
( ~ ssList(X403)
| ~ ssList(X404)
| ~ ssList(X405)
| ~ ssList(X406)
| ~ segmentP(X403,X404)
| segmentP(app(app(X405,X403),X406),X404) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax56])])]) ).
fof(i_0_112,negated_conjecture,
! [X469,X470,X471] :
( ssList(esk48_0)
& ssList(esk49_0)
& ssList(esk50_0)
& ssList(esk51_0)
& nil = esk49_0
& esk49_0 = esk51_0
& esk48_0 = esk50_0
& nil != esk48_0
& ssList(esk52_0)
& app(esk50_0,esk52_0) = esk51_0
& equalelemsP(esk50_0)
& ( ~ ssItem(X469)
| ~ ssList(X470)
| app(cons(X469,nil),X470) != esk52_0
| ~ ssList(X471)
| app(X471,cons(X469,nil)) != esk50_0 )
& ( nil = esk51_0
| nil != esk50_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_113,plain,
! [X364,X365,X366] :
( ( ~ memberP(app(X365,X366),X364)
| memberP(X365,X364)
| memberP(X366,X364)
| ~ ssList(X366)
| ~ ssList(X365)
| ~ ssItem(X364) )
& ( ~ memberP(X365,X364)
| memberP(app(X365,X366),X364)
| ~ ssList(X366)
| ~ ssList(X365)
| ~ ssItem(X364) )
& ( ~ memberP(X366,X364)
| memberP(app(X365,X366),X364)
| ~ ssList(X366)
| ~ ssList(X365)
| ~ ssItem(X364) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax36])])])]) ).
fof(i_0_114,plain,
! [X367,X368,X369] :
( ( ~ memberP(cons(X368,X369),X367)
| X367 = X368
| memberP(X369,X367)
| ~ ssList(X369)
| ~ ssItem(X368)
| ~ ssItem(X367) )
& ( X367 != X368
| memberP(cons(X368,X369),X367)
| ~ ssList(X369)
| ~ ssItem(X368)
| ~ ssItem(X367) )
& ( ~ memberP(X369,X367)
| memberP(cons(X368,X369),X367)
| ~ ssList(X369)
| ~ ssItem(X368)
| ~ ssItem(X367) ) ),
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,
! [X435,X436,X437] :
( ~ ssList(X435)
| ~ ssList(X436)
| ~ ssList(X437)
| app(app(X435,X436),X437) = app(X435,app(X436,X437)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).
fof(i_0_116,plain,
! [X345,X346,X347] :
( ~ ssList(X345)
| ~ ssList(X346)
| ~ ssItem(X347)
| cons(X347,app(X346,X345)) = app(cons(X347,X346),X345) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])]) ).
fof(i_0_117,plain,
! [X416,X417] :
( ( nil != X417
| nil = X417
| ~ strictorderedP(cons(X416,X417))
| ~ ssList(X417)
| ~ ssItem(X416) )
& ( strictorderedP(X417)
| nil = X417
| ~ strictorderedP(cons(X416,X417))
| ~ ssList(X417)
| ~ ssItem(X416) )
& ( lt(X416,hd(X417))
| nil = X417
| ~ strictorderedP(cons(X416,X417))
| ~ ssList(X417)
| ~ ssItem(X416) )
& ( nil != X417
| strictorderedP(cons(X416,X417))
| ~ ssList(X417)
| ~ ssItem(X416) )
& ( nil = X417
| ~ strictorderedP(X417)
| ~ lt(X416,hd(X417))
| strictorderedP(cons(X416,X417))
| ~ ssList(X417)
| ~ ssItem(X416) ) ),
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,
! [X413,X414] :
( ( nil != X414
| nil = X414
| ~ totalorderedP(cons(X413,X414))
| ~ ssList(X414)
| ~ ssItem(X413) )
& ( totalorderedP(X414)
| nil = X414
| ~ totalorderedP(cons(X413,X414))
| ~ ssList(X414)
| ~ ssItem(X413) )
& ( leq(X413,hd(X414))
| nil = X414
| ~ totalorderedP(cons(X413,X414))
| ~ ssList(X414)
| ~ ssItem(X413) )
& ( nil != X414
| totalorderedP(cons(X413,X414))
| ~ ssList(X414)
| ~ ssItem(X413) )
& ( nil = X414
| ~ totalorderedP(X414)
| ~ leq(X413,hd(X414))
| totalorderedP(cons(X413,X414))
| ~ ssList(X414)
| ~ ssItem(X413) ) ),
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,
! [X392,X393,X394] :
( ~ ssList(X392)
| ~ ssList(X393)
| ~ ssList(X394)
| ~ rearsegP(X392,X393)
| rearsegP(app(X394,X392),X393) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax50])])]) ).
fof(i_0_120,plain,
! [X377,X378,X379] :
( ~ ssList(X377)
| ~ ssList(X378)
| ~ ssList(X379)
| ~ frontsegP(X377,X378)
| frontsegP(app(X377,X379),X378) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax43])])]) ).
fof(i_0_121,plain,
! [X461,X462,X463] :
( ~ ssItem(X461)
| ~ ssItem(X462)
| ~ ssItem(X463)
| ~ gt(X461,X462)
| ~ gt(X462,X463)
| gt(X461,X463) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax95])])]) ).
fof(i_0_122,plain,
! [X447,X448,X449] :
( ~ ssItem(X447)
| ~ ssItem(X448)
| ~ ssItem(X449)
| ~ geq(X447,X448)
| ~ geq(X448,X449)
| geq(X447,X449) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax88])])]) ).
fof(i_0_123,plain,
! [X359,X360,X361] :
( ~ ssItem(X359)
| ~ ssItem(X360)
| ~ ssItem(X361)
| ~ lt(X359,X360)
| ~ lt(X360,X361)
| lt(X359,X361) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax34])])]) ).
fof(i_0_124,plain,
! [X452,X453,X454] :
( ~ ssItem(X452)
| ~ ssItem(X453)
| ~ ssItem(X454)
| ~ leq(X452,X453)
| ~ lt(X453,X454)
| lt(X452,X454) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax91])])]) ).
fof(i_0_125,plain,
! [X351,X352,X353] :
( ~ ssItem(X351)
| ~ ssItem(X352)
| ~ ssItem(X353)
| ~ leq(X351,X352)
| ~ leq(X352,X353)
| leq(X351,X353) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax30])])]) ).
fof(i_0_126,plain,
! [X397,X398,X399] :
( ~ ssList(X397)
| ~ ssList(X398)
| ~ ssList(X399)
| ~ segmentP(X397,X398)
| ~ segmentP(X398,X399)
| segmentP(X397,X399) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax53])])]) ).
fof(i_0_127,plain,
! [X386,X387,X388] :
( ~ ssList(X386)
| ~ ssList(X387)
| ~ ssList(X388)
| ~ rearsegP(X386,X387)
| ~ rearsegP(X387,X388)
| rearsegP(X386,X388) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax47])])]) ).
fof(i_0_128,plain,
! [X371,X372,X373] :
( ~ ssList(X371)
| ~ ssList(X372)
| ~ ssList(X373)
| ~ frontsegP(X371,X372)
| ~ frontsegP(X372,X373)
| frontsegP(X371,X373) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax40])])]) ).
fof(i_0_129,plain,
! [X237,X238,X240] :
( ( ssList(esk7_2(X237,X238))
| ~ rearsegP(X237,X238)
| ~ ssList(X238)
| ~ ssList(X237) )
& ( app(esk7_2(X237,X238),X238) = X237
| ~ rearsegP(X237,X238)
| ~ ssList(X238)
| ~ ssList(X237) )
& ( ~ ssList(X240)
| app(X240,X238) != X237
| rearsegP(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)],[ax6])])])])]) ).
fof(i_0_130,plain,
! [X233,X234,X236] :
( ( ssList(esk6_2(X233,X234))
| ~ frontsegP(X233,X234)
| ~ ssList(X234)
| ~ ssList(X233) )
& ( app(X234,esk6_2(X233,X234)) = X233
| ~ frontsegP(X233,X234)
| ~ ssList(X234)
| ~ ssList(X233) )
& ( ~ ssList(X236)
| app(X234,X236) != X233
| frontsegP(X233,X234)
| ~ ssList(X234)
| ~ ssList(X233) ) ),
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,
! [X328,X329,X330,X331] :
( ( X330 = X331
| cons(X330,X328) != cons(X331,X329)
| ~ ssItem(X331)
| ~ ssItem(X330)
| ~ ssList(X329)
| ~ ssList(X328) )
& ( X329 = X328
| cons(X330,X328) != cons(X331,X329)
| ~ ssItem(X331)
| ~ ssItem(X330)
| ~ ssList(X329)
| ~ ssList(X328) ) ),
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,
! [X427,X428,X429] :
( ~ ssList(X427)
| ~ ssList(X428)
| ~ ssList(X429)
| app(X429,X428) != app(X427,X428)
| X429 = X427 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax79])])]) ).
fof(i_0_133,plain,
! [X430,X431,X432] :
( ~ ssList(X430)
| ~ ssList(X431)
| ~ ssList(X432)
| app(X431,X432) != app(X431,X430)
| X432 = X430 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax80])])]) ).
fof(i_0_134,plain,
! [X443,X444] :
( ~ ssList(X443)
| ~ ssList(X444)
| nil = X443
| tl(app(X443,X444)) = app(tl(X443),X444) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax86])])]) ).
fof(i_0_135,plain,
! [X433,X434] :
( ~ ssList(X433)
| ~ ssItem(X434)
| cons(X434,X433) = app(cons(X434,nil),X433) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])]) ).
fof(i_0_136,plain,
! [X400,X401] :
( ~ ssList(X400)
| ~ ssList(X401)
| ~ segmentP(X400,X401)
| ~ segmentP(X401,X400)
| X400 = X401 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax54])])]) ).
fof(i_0_137,plain,
! [X389,X390] :
( ~ ssList(X389)
| ~ ssList(X390)
| ~ rearsegP(X389,X390)
| ~ rearsegP(X390,X389)
| X389 = X390 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax48])])]) ).
fof(i_0_138,plain,
! [X374,X375] :
( ~ ssList(X374)
| ~ ssList(X375)
| ~ frontsegP(X374,X375)
| ~ frontsegP(X375,X374)
| X374 = X375 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax41])])]) ).
fof(i_0_139,plain,
! [X445,X446] :
( ~ ssItem(X445)
| ~ ssItem(X446)
| ~ geq(X445,X446)
| ~ geq(X446,X445)
| X445 = X446 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax87])])]) ).
fof(i_0_140,plain,
! [X349,X350] :
( ~ ssItem(X349)
| ~ ssItem(X350)
| ~ leq(X349,X350)
| ~ leq(X350,X349)
| X349 = X350 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax29])])]) ).
fof(i_0_141,plain,
! [X459,X460] :
( ~ ssItem(X459)
| ~ ssItem(X460)
| ~ gt(X459,X460)
| ~ gt(X460,X459) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_97])])]) ).
fof(i_0_142,plain,
! [X357,X358] :
( ~ ssItem(X357)
| ~ ssItem(X358)
| ~ lt(X357,X358)
| ~ lt(X358,X357) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_98])])]) ).
fof(i_0_143,plain,
! [X457,X458] :
( ( X457 != X458
| ~ lt(X457,X458)
| ~ ssItem(X458)
| ~ ssItem(X457) )
& ( leq(X457,X458)
| ~ lt(X457,X458)
| ~ ssItem(X458)
| ~ ssItem(X457) )
& ( X457 = X458
| ~ leq(X457,X458)
| lt(X457,X458)
| ~ ssItem(X458)
| ~ ssItem(X457) ) ),
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,
! [X455,X456] :
( ~ ssItem(X455)
| ~ ssItem(X456)
| ~ leq(X455,X456)
| X455 = X456
| lt(X455,X456) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax92])])]) ).
fof(i_0_145,plain,
! [X362,X363] :
( ( ~ gt(X362,X363)
| lt(X363,X362)
| ~ ssItem(X363)
| ~ ssItem(X362) )
& ( ~ lt(X363,X362)
| gt(X362,X363)
| ~ ssItem(X363)
| ~ ssItem(X362) ) ),
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,
! [X355,X356] :
( ( ~ geq(X355,X356)
| leq(X356,X355)
| ~ ssItem(X356)
| ~ ssItem(X355) )
& ( ~ leq(X356,X355)
| geq(X355,X356)
| ~ ssItem(X356)
| ~ ssItem(X355) ) ),
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,
! [X441,X442] :
( ~ ssList(X441)
| ~ ssList(X442)
| nil = X441
| hd(app(X441,X442)) = hd(X441) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax85])])]) ).
fof(i_0_148,plain,
! [X424,X425] :
( ~ ssList(X424)
| ~ ssList(X425)
| nil = X425
| nil = X424
| hd(X425) != hd(X424)
| tl(X425) != tl(X424)
| X425 = X424 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax77])])]) ).
fof(i_0_149,plain,
! [X341,X342] :
( ~ ssList(X341)
| ~ ssItem(X342)
| tl(cons(X342,X341)) = X341 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])])]) ).
fof(i_0_150,plain,
! [X338,X339] :
( ~ ssList(X338)
| ~ ssItem(X339)
| hd(cons(X339,X338)) = X339 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])]) ).
fof(i_0_151,plain,
! [X343,X344] :
( ~ ssList(X343)
| ~ ssList(X344)
| ssList(app(X343,X344)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).
fof(i_0_152,plain,
! [X324,X325] :
( ~ ssList(X324)
| ~ ssItem(X325)
| ssList(cons(X325,X324)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).
fof(i_0_153,plain,
! [X322,X323] :
( ( ~ neq(X322,X323)
| X322 != X323
| ~ ssList(X323)
| ~ ssList(X322) )
& ( X322 = X323
| neq(X322,X323)
| ~ ssList(X323)
| ~ ssList(X322) ) ),
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,
! [X220,X221] :
( ( ~ neq(X220,X221)
| X220 != X221
| ~ ssItem(X221)
| ~ ssItem(X220) )
& ( X220 = X221
| neq(X220,X221)
| ~ ssItem(X221)
| ~ ssItem(X220) ) ),
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,
! [X230,X232] :
( ( ssItem(esk5_1(X230))
| ~ singletonP(X230)
| ~ ssList(X230) )
& ( cons(esk5_1(X230),nil) = X230
| ~ singletonP(X230)
| ~ ssList(X230) )
& ( ~ ssItem(X232)
| cons(X232,nil) != X230
| singletonP(X230)
| ~ ssList(X230) ) ),
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,
! [X438,X439] :
( ( nil = X439
| nil != app(X438,X439)
| ~ ssList(X439)
| ~ ssList(X438) )
& ( nil = X438
| nil != app(X438,X439)
| ~ ssList(X439)
| ~ ssList(X438) )
& ( nil != X439
| nil != X438
| nil = app(X438,X439)
| ~ ssList(X439)
| ~ ssList(X438) ) ),
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,
! [X326,X327] :
( ~ ssList(X326)
| ~ ssItem(X327)
| cons(X327,X326) != X326 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax18])])]) ).
fof(i_0_158,plain,
! [X335,X336] :
( ~ ssList(X335)
| ~ ssItem(X336)
| nil != cons(X336,X335) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])]) ).
fof(i_0_159,plain,
! [X332] :
( ( ssList(esk44_1(X332))
| nil = X332
| ~ ssList(X332) )
& ( ssItem(esk45_1(X332))
| nil = X332
| ~ ssList(X332) )
& ( cons(esk45_1(X332),esk44_1(X332)) = X332
| nil = X332
| ~ ssList(X332) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax20])])])]) ).
fof(i_0_160,plain,
! [X426] :
( ~ ssList(X426)
| nil = X426
| cons(hd(X426),tl(X426)) = X426 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax78])]) ).
fof(i_0_161,plain,
! [X419] :
( ~ ssItem(X419)
| equalelemsP(cons(X419,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax73])]) ).
fof(i_0_162,plain,
! [X418] :
( ~ ssItem(X418)
| duplicatefreeP(cons(X418,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax71])]) ).
fof(i_0_163,plain,
! [X415] :
( ~ ssItem(X415)
| strictorderedP(cons(X415,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax68])]) ).
fof(i_0_164,plain,
! [X412] :
( ~ ssItem(X412)
| totalorderedP(cons(X412,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax65])]) ).
fof(i_0_165,plain,
! [X411] :
( ~ ssItem(X411)
| strictorderP(cons(X411,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax63])]) ).
fof(i_0_166,plain,
! [X410] :
( ~ ssItem(X410)
| totalorderP(cons(X410,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax61])]) ).
fof(i_0_167,plain,
! [X409] :
( ~ ssItem(X409)
| cyclefreeP(cons(X409,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax59])]) ).
fof(i_0_168,plain,
! [X451] :
( ~ ssItem(X451)
| ~ lt(X451,X451) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_99])]) ).
fof(i_0_169,plain,
! [X408] :
( ( ~ segmentP(nil,X408)
| nil = X408
| ~ ssList(X408) )
& ( nil != X408
| segmentP(nil,X408)
| ~ ssList(X408) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax58])])]) ).
fof(i_0_170,plain,
! [X396] :
( ( ~ rearsegP(nil,X396)
| nil = X396
| ~ ssList(X396) )
& ( nil != X396
| rearsegP(nil,X396)
| ~ ssList(X396) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax52])])]) ).
fof(i_0_171,plain,
! [X385] :
( ( ~ frontsegP(nil,X385)
| nil = X385
| ~ ssList(X385) )
& ( nil != X385
| frontsegP(nil,X385)
| ~ ssList(X385) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax46])])]) ).
fof(i_0_172,plain,
! [X370] :
( ~ ssItem(X370)
| ~ memberP(nil,X370) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_100])]) ).
fof(i_0_173,plain,
! [X450] :
( ~ ssItem(X450)
| geq(X450,X450) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax89])]) ).
fof(i_0_174,plain,
! [X354] :
( ~ ssItem(X354)
| leq(X354,X354) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax31])]) ).
fof(i_0_175,plain,
! [X402] :
( ~ ssList(X402)
| segmentP(X402,X402) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax55])]) ).
fof(i_0_176,plain,
! [X391] :
( ~ ssList(X391)
| rearsegP(X391,X391) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax49])]) ).
fof(i_0_177,plain,
! [X376] :
( ~ ssList(X376)
| frontsegP(X376,X376) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax42])]) ).
fof(i_0_178,plain,
! [X348] :
( ~ ssList(X348)
| app(nil,X348) = X348 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).
fof(i_0_179,plain,
! [X440] :
( ~ ssList(X440)
| app(X440,nil) = X440 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).
fof(i_0_180,plain,
! [X407] :
( ~ ssList(X407)
| segmentP(X407,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])]) ).
fof(i_0_181,plain,
! [X395] :
( ~ ssList(X395)
| rearsegP(X395,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax51])]) ).
fof(i_0_182,plain,
! [X384] :
( ~ ssList(X384)
| frontsegP(X384,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax45])]) ).
fof(i_0_183,plain,
! [X422] :
( ( ssList(esk47_1(X422))
| nil = X422
| ~ ssList(X422) )
& ( tl(X422) = esk47_1(X422)
| nil = X422
| ~ ssList(X422) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax76])])])]) ).
fof(i_0_184,plain,
! [X340] :
( ~ ssList(X340)
| nil = X340
| ssList(tl(X340)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax24])]) ).
fof(i_0_185,plain,
! [X420] :
( ( ssItem(esk46_1(X420))
| nil = X420
| ~ ssList(X420) )
& ( hd(X420) = esk46_1(X420)
| nil = X420
| ~ ssList(X420) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax75])])])]) ).
fof(i_0_186,plain,
! [X337] :
( ~ ssList(X337)
| nil = X337
| ssItem(hd(X337)) ),
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,negated_conjecture,
( ~ ssItem(X1)
| ~ ssList(X2)
| app(cons(X1,nil),X2) != esk52_0
| ~ ssList(X3)
| app(X3,cons(X1,nil)) != esk50_0 ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_208,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_209,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_210,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_113]),
[final] ).
cnf(i_0_211,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_212,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_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_113]),
[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_113]),
[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,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_153]),
[final] ).
cnf(i_0_302,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_154]),
[final] ).
cnf(i_0_303,plain,
( ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(split_conjunct,[status(thm)],[i_0_168]),
[final] ).
cnf(i_0_304,plain,
( nil = X1
| ~ segmentP(nil,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_169]),
[final] ).
cnf(i_0_305,plain,
( nil = X1
| ~ rearsegP(nil,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_170]),
[final] ).
cnf(i_0_306,plain,
( nil = X1
| ~ frontsegP(nil,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_171]),
[final] ).
cnf(i_0_307,plain,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
inference(split_conjunct,[status(thm)],[i_0_172]),
[final] ).
cnf(i_0_308,plain,
( ssItem(esk5_1(X1))
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_309,plain,
( equalelemsP(X1)
| esk40_1(X1) != esk41_1(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_310,plain,
( segmentP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_169]),
[final] ).
cnf(i_0_311,plain,
( rearsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_170]),
[final] ).
cnf(i_0_312,plain,
( frontsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_171]),
[final] ).
cnf(i_0_313,plain,
( ssList(esk43_1(X1))
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_314,plain,
( ssList(esk42_1(X1))
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_315,plain,
( ssItem(esk41_1(X1))
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_316,plain,
( ssItem(esk40_1(X1))
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_317,plain,
( ssList(esk39_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_318,plain,
( ssList(esk38_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_319,plain,
( ssList(esk37_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_320,plain,
( ssItem(esk36_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_321,plain,
( ssItem(esk35_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_322,plain,
( ssList(esk34_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_323,plain,
( ssList(esk33_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_324,plain,
( ssList(esk32_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_325,plain,
( ssItem(esk31_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_326,plain,
( ssItem(esk30_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_327,plain,
( ssList(esk29_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_328,plain,
( ssList(esk28_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_329,plain,
( ssList(esk27_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_330,plain,
( ssItem(esk26_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_331,plain,
( ssItem(esk25_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_332,plain,
( ssList(esk24_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_333,plain,
( ssList(esk23_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_334,plain,
( ssList(esk22_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_335,plain,
( ssItem(esk21_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_336,plain,
( ssItem(esk20_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_337,plain,
( ssList(esk19_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_338,plain,
( ssList(esk18_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_339,plain,
( ssList(esk17_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_340,plain,
( ssItem(esk16_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_341,plain,
( ssItem(esk15_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_342,plain,
( ssList(esk14_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_343,plain,
( ssList(esk13_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_344,plain,
( ssList(esk12_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_345,plain,
( ssItem(esk11_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_346,plain,
( ssItem(esk10_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_347,plain,
( geq(X1,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_173]),
[final] ).
cnf(i_0_348,plain,
( leq(X1,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_174]),
[final] ).
cnf(i_0_349,plain,
( segmentP(X1,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_175]),
[final] ).
cnf(i_0_350,plain,
( rearsegP(X1,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_176]),
[final] ).
cnf(i_0_351,plain,
( frontsegP(X1,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_177]),
[final] ).
cnf(i_0_352,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_178]),
[final] ).
cnf(i_0_353,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_179]),
[final] ).
cnf(i_0_354,plain,
( esk35_1(X1) = esk36_1(X1)
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_355,plain,
( segmentP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_180]),
[final] ).
cnf(i_0_356,plain,
( rearsegP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_181]),
[final] ).
cnf(i_0_357,plain,
( frontsegP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_182]),
[final] ).
cnf(i_0_358,plain,
( ssList(esk47_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_183]),
[final] ).
cnf(i_0_359,plain,
( ssList(esk44_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_360,plain,
( nil = X1
| ssList(tl(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_184]),
[final] ).
cnf(i_0_361,plain,
( ssItem(esk46_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_185]),
[final] ).
cnf(i_0_362,plain,
( ssItem(esk45_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_363,plain,
( nil = X1
| ssItem(hd(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_186]),
[final] ).
cnf(i_0_364,plain,
( tl(X1) = esk47_1(X1)
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_183]),
[final] ).
cnf(i_0_365,plain,
( hd(X1) = esk46_1(X1)
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_185]),
[final] ).
cnf(i_0_366,negated_conjecture,
app(esk50_0,esk52_0) = esk51_0,
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_367,plain,
~ singletonP(nil),
inference(split_conjunct,[status(thm)],[i_0_187]),
[final] ).
cnf(i_0_368,negated_conjecture,
equalelemsP(esk50_0),
inference(split_conjunct,[status(thm)],[i_0_112]),
[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(esk52_0),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_377,negated_conjecture,
ssList(esk51_0),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_378,negated_conjecture,
ssList(esk50_0),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_379,negated_conjecture,
ssList(esk49_0),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_380,negated_conjecture,
ssList(esk48_0),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_381,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]),
[final] ).
cnf(i_0_382,plain,
ssItem(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_383,plain,
ssItem(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_384,negated_conjecture,
( nil = esk51_0
| nil != esk50_0 ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_385,negated_conjecture,
nil != esk48_0,
inference(split_conjunct,[status(thm)],[i_0_112]),
[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_112]),
[final] ).
cnf(i_0_388,negated_conjecture,
esk48_0 = esk50_0,
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_389,negated_conjecture,
nil = esk49_0,
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_390,axiom,
X1 = X1 ).
cnf(i_0_391,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_392,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_393,axiom,
( X1 != X2
| app(X1,X3) = app(X2,X3) ) ).
cnf(i_0_394,axiom,
( X1 != X2
| app(X3,X1) = app(X3,X2) ) ).
cnf(i_0_395,axiom,
( X1 != X2
| cons(X1,X3) = cons(X2,X3) ) ).
cnf(i_0_396,axiom,
( X1 != X2
| cons(X3,X1) = cons(X3,X2) ) ).
cnf(i_0_397,axiom,
( X1 != X2
| esk40_1(X1) = esk40_1(X2) ) ).
cnf(i_0_398,axiom,
( X1 != X2
| esk41_1(X1) = esk41_1(X2) ) ).
cnf(i_0_399,axiom,
( X1 != X2
| esk35_1(X1) = esk35_1(X2) ) ).
cnf(i_0_400,axiom,
( X1 != X2
| hd(X1) = hd(X2) ) ).
cnf(i_0_401,axiom,
( X1 != X2
| tl(X1) = tl(X2) ) ).
cnf(i_0_402,axiom,
( X1 != X2
| esk47_1(X1) = esk47_1(X2) ) ).
cnf(i_0_403,axiom,
( X1 != X2
| esk46_1(X1) = esk46_1(X2) ) ).
cnf(i_0_404,axiom,
( X1 != X2
| esk36_1(X1) = esk36_1(X2) ) ).
cnf(i_0_405,axiom,
( X1 != X2
| ~ cyclefreeP(X1)
| cyclefreeP(X2) ) ).
cnf(i_0_406,axiom,
( X1 != X2
| ~ duplicatefreeP(X1)
| duplicatefreeP(X2) ) ).
cnf(i_0_407,axiom,
( X1 != X2
| ~ equalelemsP(X1)
| equalelemsP(X2) ) ).
cnf(i_0_408,axiom,
( X1 != X2
| ~ segmentP(X1,X3)
| segmentP(X2,X3) ) ).
cnf(i_0_409,axiom,
( X1 != X2
| ~ segmentP(X3,X1)
| segmentP(X3,X2) ) ).
cnf(i_0_410,axiom,
( X1 != X2
| ~ memberP(X1,X3)
| memberP(X2,X3) ) ).
cnf(i_0_411,axiom,
( X1 != X2
| ~ memberP(X3,X1)
| memberP(X3,X2) ) ).
cnf(i_0_412,axiom,
( X1 != X2
| ~ frontsegP(X1,X3)
| frontsegP(X2,X3) ) ).
cnf(i_0_413,axiom,
( X1 != X2
| ~ frontsegP(X3,X1)
| frontsegP(X3,X2) ) ).
cnf(i_0_414,axiom,
( X1 != X2
| ~ rearsegP(X1,X3)
| rearsegP(X2,X3) ) ).
cnf(i_0_415,axiom,
( X1 != X2
| ~ rearsegP(X3,X1)
| rearsegP(X3,X2) ) ).
cnf(i_0_416,axiom,
( X1 != X2
| ~ gt(X1,X3)
| gt(X2,X3) ) ).
cnf(i_0_417,axiom,
( X1 != X2
| ~ gt(X3,X1)
| gt(X3,X2) ) ).
cnf(i_0_418,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_419,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_420,axiom,
( X1 != X2
| ~ neq(X1,X3)
| neq(X2,X3) ) ).
cnf(i_0_421,axiom,
( X1 != X2
| ~ neq(X3,X1)
| neq(X3,X2) ) ).
cnf(i_0_422,axiom,
( X1 != X2
| ~ singletonP(X1)
| singletonP(X2) ) ).
cnf(i_0_423,axiom,
( X1 != X2
| ~ ssItem(X1)
| ssItem(X2) ) ).
cnf(i_0_424,axiom,
( X1 != X2
| ~ ssList(X1)
| ssList(X2) ) ).
cnf(i_0_425,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_426,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_427,axiom,
( X1 != X2
| ~ lt(X1,X3)
| lt(X2,X3) ) ).
cnf(i_0_428,axiom,
( X1 != X2
| ~ lt(X3,X1)
| lt(X3,X2) ) ).
cnf(i_0_429,axiom,
( X1 != X2
| ~ strictorderP(X1)
| strictorderP(X2) ) ).
cnf(i_0_430,axiom,
( X1 != X2
| ~ totalorderP(X1)
| totalorderP(X2) ) ).
cnf(i_0_431,axiom,
( X1 != X2
| ~ strictorderedP(X1)
| strictorderedP(X2) ) ).
cnf(i_0_432,axiom,
( X1 != X2
| ~ totalorderedP(X1)
| totalorderedP(X2) ) ).
cnf(i_0_390_001,axiom,
X1 = X1 ).
cnf(i_0_391_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_392_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_393_004,axiom,
( X1 != X2
| app(X1,X3) = app(X2,X3) ) ).
cnf(i_0_394_005,axiom,
( X1 != X2
| app(X3,X1) = app(X3,X2) ) ).
cnf(i_0_395_006,axiom,
( X1 != X2
| cons(X1,X3) = cons(X2,X3) ) ).
cnf(i_0_396_007,axiom,
( X1 != X2
| cons(X3,X1) = cons(X3,X2) ) ).
cnf(i_0_397_008,axiom,
( X1 != X2
| esk40_1(X1) = esk40_1(X2) ) ).
cnf(i_0_398_009,axiom,
( X1 != X2
| esk41_1(X1) = esk41_1(X2) ) ).
cnf(i_0_399_010,axiom,
( X1 != X2
| esk35_1(X1) = esk35_1(X2) ) ).
cnf(i_0_400_011,axiom,
( X1 != X2
| hd(X1) = hd(X2) ) ).
cnf(i_0_401_012,axiom,
( X1 != X2
| tl(X1) = tl(X2) ) ).
cnf(i_0_402_013,axiom,
( X1 != X2
| esk47_1(X1) = esk47_1(X2) ) ).
cnf(i_0_403_014,axiom,
( X1 != X2
| esk46_1(X1) = esk46_1(X2) ) ).
cnf(i_0_404_015,axiom,
( X1 != X2
| esk36_1(X1) = esk36_1(X2) ) ).
cnf(i_0_405_016,axiom,
( X1 != X2
| ~ cyclefreeP(X1)
| cyclefreeP(X2) ) ).
cnf(i_0_406_017,axiom,
( X1 != X2
| ~ duplicatefreeP(X1)
| duplicatefreeP(X2) ) ).
cnf(i_0_407_018,axiom,
( X1 != X2
| ~ equalelemsP(X1)
| equalelemsP(X2) ) ).
cnf(i_0_408_019,axiom,
( X1 != X2
| ~ segmentP(X1,X3)
| segmentP(X2,X3) ) ).
cnf(i_0_409_020,axiom,
( X1 != X2
| ~ segmentP(X3,X1)
| segmentP(X3,X2) ) ).
cnf(i_0_410_021,axiom,
( X1 != X2
| ~ memberP(X1,X3)
| memberP(X2,X3) ) ).
cnf(i_0_411_022,axiom,
( X1 != X2
| ~ memberP(X3,X1)
| memberP(X3,X2) ) ).
cnf(i_0_412_023,axiom,
( X1 != X2
| ~ frontsegP(X1,X3)
| frontsegP(X2,X3) ) ).
cnf(i_0_413_024,axiom,
( X1 != X2
| ~ frontsegP(X3,X1)
| frontsegP(X3,X2) ) ).
cnf(i_0_414_025,axiom,
( X1 != X2
| ~ rearsegP(X1,X3)
| rearsegP(X2,X3) ) ).
cnf(i_0_415_026,axiom,
( X1 != X2
| ~ rearsegP(X3,X1)
| rearsegP(X3,X2) ) ).
cnf(i_0_416_027,axiom,
( X1 != X2
| ~ gt(X1,X3)
| gt(X2,X3) ) ).
cnf(i_0_417_028,axiom,
( X1 != X2
| ~ gt(X3,X1)
| gt(X3,X2) ) ).
cnf(i_0_418_029,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_419_030,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_420_031,axiom,
( X1 != X2
| ~ neq(X1,X3)
| neq(X2,X3) ) ).
cnf(i_0_421_032,axiom,
( X1 != X2
| ~ neq(X3,X1)
| neq(X3,X2) ) ).
cnf(i_0_422_033,axiom,
( X1 != X2
| ~ singletonP(X1)
| singletonP(X2) ) ).
cnf(i_0_423_034,axiom,
( X1 != X2
| ~ ssItem(X1)
| ssItem(X2) ) ).
cnf(i_0_424_035,axiom,
( X1 != X2
| ~ ssList(X1)
| ssList(X2) ) ).
cnf(i_0_425_036,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_426_037,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_427_038,axiom,
( X1 != X2
| ~ lt(X1,X3)
| lt(X2,X3) ) ).
cnf(i_0_428_039,axiom,
( X1 != X2
| ~ lt(X3,X1)
| lt(X3,X2) ) ).
cnf(i_0_429_040,axiom,
( X1 != X2
| ~ strictorderP(X1)
| strictorderP(X2) ) ).
cnf(i_0_430_041,axiom,
( X1 != X2
| ~ totalorderP(X1)
| totalorderP(X2) ) ).
cnf(i_0_431_042,axiom,
( X1 != X2
| ~ strictorderedP(X1)
| strictorderedP(X2) ) ).
cnf(i_0_432_043,axiom,
( X1 != X2
| ~ totalorderedP(X1)
| totalorderedP(X2) ) ).
cnf(i_0_433,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_434,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_435,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_436,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_437,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_438,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_439,plain,
( ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ ssItem(X3)
| frontsegP(cons(X3,X1),cons(X3,X2)) ),
inference(equality_inference,[],[209]) ).
cnf(i_0_440,plain,
( ~ ssList(X1)
| ~ ssList(app(app(X2,X1),X3))
| segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(equality_inference,[],[211]) ).
cnf(i_0_441,plain,
( ~ ssItem(X1)
| ~ ssList(app(X2,cons(X1,X3)))
| memberP(app(X2,cons(X1,X3)),X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(equality_inference,[],[212]) ).
cnf(i_0_442,plain,
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X2)
| X1 = X1 ),
inference(equality_inference,[],[235]) ).
cnf(i_0_443,plain,
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X2)
| X2 = X2 ),
inference(equality_inference,[],[236]) ).
cnf(i_0_444,plain,
( ~ ssList(X1)
| ~ ssList(X1)
| X1 = X1
| ~ ssList(X2) ),
inference(equality_inference,[],[239]) ).
cnf(i_0_445,plain,
( ~ ssList(X1)
| ~ ssList(X1)
| X1 = X1
| ~ ssList(X2) ),
inference(equality_inference,[],[240]) ).
cnf(i_0_446,plain,
( ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X2)
| memberP(cons(X2,X1),X2) ),
inference(equality_inference,[],[248]) ).
cnf(i_0_447,plain,
( ~ ssList(X1)
| ~ ssList(app(X2,X1))
| rearsegP(app(X2,X1),X1)
| ~ ssList(X2) ),
inference(equality_inference,[],[255]) ).
cnf(i_0_448,plain,
( ~ ssList(X1)
| ~ ssList(app(X1,X2))
| frontsegP(app(X1,X2),X1)
| ~ ssList(X2) ),
inference(equality_inference,[],[256]) ).
cnf(i_0_449,plain,
( ~ ssList(nil)
| ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ),
inference(equality_inference,[],[273]) ).
cnf(i_0_450,plain,
( ~ ssList(nil)
| ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ),
inference(equality_inference,[],[274]) ).
cnf(i_0_451,plain,
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_inference,[],[280]) ).
cnf(i_0_452,plain,
( ~ lt(X1,X1)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_inference,[],[281]) ).
cnf(i_0_453,plain,
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(equality_inference,[],[282]) ).
cnf(i_0_454,plain,
( ~ ssList(cons(X1,nil))
| singletonP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(equality_inference,[],[283]) ).
cnf(i_0_455,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_inference,[],[310]) ).
cnf(i_0_456,plain,
( ~ ssList(nil)
| rearsegP(nil,nil) ),
inference(equality_inference,[],[311]) ).
cnf(i_0_457,plain,
( ~ ssList(nil)
| frontsegP(nil,nil) ),
inference(equality_inference,[],[312]) ).
cnf(i_0_458,plain,
esk51_0 = app(esk50_0,esk52_0),
inference(scs_inference,[],[i_0_366,i_0_391]) ).
cnf(i_0_459,plain,
geq(esk2_0,esk2_0),
inference(scs_inference,[],[i_0_366,i_0_382,i_0_391,i_0_347]) ).
cnf(i_0_460,plain,
( ~ ssItem(X1)
| geq(X1,X1) ),
inference(rename_variables,[],[i_0_347]) ).
cnf(i_0_461,plain,
leq(esk2_0,esk2_0),
inference(scs_inference,[],[i_0_366,i_0_382,i_0_391,i_0_347,i_0_348]) ).
cnf(i_0_462,plain,
( ~ ssItem(X1)
| leq(X1,X1) ),
inference(rename_variables,[],[i_0_348]) ).
cnf(i_0_463,plain,
segmentP(esk52_0,esk52_0),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_382,i_0_391,i_0_347,i_0_348,i_0_349]) ).
cnf(i_0_464,plain,
( ~ ssList(X1)
| segmentP(X1,X1) ),
inference(rename_variables,[],[i_0_349]) ).
cnf(i_0_465,plain,
rearsegP(esk52_0,esk52_0),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_382,i_0_391,i_0_347,i_0_348,i_0_349,i_0_350]) ).
cnf(i_0_466,plain,
( ~ ssList(X1)
| rearsegP(X1,X1) ),
inference(rename_variables,[],[i_0_350]) ).
cnf(i_0_467,plain,
frontsegP(esk52_0,esk52_0),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_382,i_0_391,i_0_347,i_0_348,i_0_349,i_0_350,i_0_351]) ).
cnf(i_0_468,plain,
( ~ ssList(X1)
| frontsegP(X1,X1) ),
inference(rename_variables,[],[i_0_351]) ).
cnf(i_0_469,plain,
~ neq(esk52_0,esk52_0),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_382,i_0_391,i_0_347,i_0_348,i_0_349,i_0_350,i_0_351,i_0_451]) ).
cnf(i_0_470,plain,
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(rename_variables,[],[i_0_451]) ).
cnf(i_0_471,plain,
~ neq(esk2_0,esk2_0),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_382,i_0_391,i_0_347,i_0_348,i_0_349,i_0_350,i_0_351,i_0_451,i_0_453]) ).
cnf(i_0_472,plain,
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(rename_variables,[],[i_0_453]) ).
cnf(i_0_473,plain,
nil = esk51_0,
inference(scs_inference,[],[i_0_366,i_0_376,i_0_387,i_0_389,i_0_382,i_0_391,i_0_347,i_0_348,i_0_349,i_0_350,i_0_351,i_0_451,i_0_453,i_0_392]) ).
cnf(i_0_474,plain,
cyclefreeP(esk49_0),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_387,i_0_389,i_0_382,i_0_375,i_0_391,i_0_347,i_0_348,i_0_349,i_0_350,i_0_351,i_0_451,i_0_453,i_0_392,i_0_405]) ).
cnf(i_0_475,plain,
duplicatefreeP(esk49_0),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_387,i_0_389,i_0_382,i_0_370,i_0_375,i_0_391,i_0_347,i_0_348,i_0_349,i_0_350,i_0_351,i_0_451,i_0_453,i_0_392,i_0_405,i_0_406]) ).
cnf(i_0_476,plain,
equalelemsP(esk49_0),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_387,i_0_389,i_0_382,i_0_369,i_0_370,i_0_375,i_0_391,i_0_347,i_0_348,i_0_349,i_0_350,i_0_351,i_0_451,i_0_453,i_0_392,i_0_405,i_0_406,i_0_407]) ).
cnf(i_0_477,plain,
ssList(app(esk50_0,esk52_0)),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_377,i_0_387,i_0_389,i_0_382,i_0_369,i_0_370,i_0_375,i_0_391,i_0_347,i_0_348,i_0_349,i_0_350,i_0_351,i_0_451,i_0_453,i_0_392,i_0_405,i_0_406,i_0_407,i_0_424]) ).
cnf(i_0_478,plain,
strictorderP(esk49_0),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_377,i_0_387,i_0_389,i_0_382,i_0_369,i_0_370,i_0_373,i_0_375,i_0_391,i_0_347,i_0_348,i_0_349,i_0_350,i_0_351,i_0_451,i_0_453,i_0_392,i_0_405,i_0_406,i_0_407,i_0_424,i_0_429]) ).
cnf(i_0_479,plain,
totalorderP(esk49_0),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_377,i_0_387,i_0_389,i_0_382,i_0_369,i_0_370,i_0_373,i_0_374,i_0_375,i_0_391,i_0_347,i_0_348,i_0_349,i_0_350,i_0_351,i_0_451,i_0_453,i_0_392,i_0_405,i_0_406,i_0_407,i_0_424,i_0_429,i_0_430]) ).
cnf(i_0_480,plain,
strictorderedP(esk49_0),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_377,i_0_387,i_0_389,i_0_382,i_0_369,i_0_370,i_0_371,i_0_373,i_0_374,i_0_375,i_0_391,i_0_347,i_0_348,i_0_349,i_0_350,i_0_351,i_0_451,i_0_453,i_0_392,i_0_405,i_0_406,i_0_407,i_0_424,i_0_429,i_0_430,i_0_431]) ).
cnf(i_0_481,plain,
totalorderedP(esk49_0),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_377,i_0_387,i_0_389,i_0_382,i_0_369,i_0_370,i_0_371,i_0_372,i_0_373,i_0_374,i_0_375,i_0_391,i_0_347,i_0_348,i_0_349,i_0_350,i_0_351,i_0_451,i_0_453,i_0_392,i_0_405,i_0_406,i_0_407,i_0_424,i_0_429,i_0_430,i_0_431,i_0_432]) ).
cnf(i_0_482,plain,
segmentP(nil,esk49_0),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_377,i_0_379,i_0_387,i_0_389,i_0_382,i_0_369,i_0_370,i_0_371,i_0_372,i_0_373,i_0_374,i_0_375,i_0_391,i_0_347,i_0_348,i_0_349,i_0_350,i_0_351,i_0_451,i_0_453,i_0_392,i_0_405,i_0_406,i_0_407,i_0_424,i_0_429,i_0_430,i_0_431,i_0_432,i_0_310]) ).
cnf(i_0_483,plain,
( nil != X1
| segmentP(nil,X1)
| ~ ssList(X1) ),
inference(rename_variables,[],[i_0_310]) ).
cnf(i_0_484,plain,
rearsegP(nil,esk49_0),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_377,i_0_379,i_0_387,i_0_389,i_0_382,i_0_369,i_0_370,i_0_371,i_0_372,i_0_373,i_0_374,i_0_375,i_0_391,i_0_347,i_0_348,i_0_349,i_0_350,i_0_351,i_0_451,i_0_453,i_0_392,i_0_405,i_0_406,i_0_407,i_0_424,i_0_429,i_0_430,i_0_431,i_0_432,i_0_310,i_0_311]) ).
cnf(i_0_485,plain,
( nil != X1
| rearsegP(nil,X1)
| ~ ssList(X1) ),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_486,plain,
frontsegP(nil,esk49_0),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_377,i_0_379,i_0_387,i_0_389,i_0_382,i_0_369,i_0_370,i_0_371,i_0_372,i_0_373,i_0_374,i_0_375,i_0_391,i_0_347,i_0_348,i_0_349,i_0_350,i_0_351,i_0_451,i_0_453,i_0_392,i_0_405,i_0_406,i_0_407,i_0_424,i_0_429,i_0_430,i_0_431,i_0_432,i_0_310,i_0_311,i_0_312]) ).
cnf(i_0_487,plain,
( nil != X1
| frontsegP(nil,X1)
| ~ ssList(X1) ),
inference(rename_variables,[],[i_0_312]) ).
cnf(i_0_488,plain,
tl(esk48_0) = esk47_1(esk48_0),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_377,i_0_379,i_0_380,i_0_385,i_0_387,i_0_389,i_0_382,i_0_369,i_0_370,i_0_371,i_0_372,i_0_373,i_0_374,i_0_375,i_0_391,i_0_347,i_0_348,i_0_349,i_0_350,i_0_351,i_0_451,i_0_453,i_0_392,i_0_405,i_0_406,i_0_407,i_0_424,i_0_429,i_0_430,i_0_431,i_0_432,i_0_310,i_0_311,i_0_312,i_0_364]) ).
cnf(i_0_489,plain,
( nil = X1
| tl(X1) = esk47_1(X1)
| ~ ssList(X1) ),
inference(rename_variables,[],[i_0_364]) ).
cnf(i_0_490,plain,
hd(esk48_0) = esk46_1(esk48_0),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_377,i_0_379,i_0_380,i_0_385,i_0_387,i_0_389,i_0_382,i_0_369,i_0_370,i_0_371,i_0_372,i_0_373,i_0_374,i_0_375,i_0_391,i_0_347,i_0_348,i_0_349,i_0_350,i_0_351,i_0_451,i_0_453,i_0_392,i_0_405,i_0_406,i_0_407,i_0_424,i_0_429,i_0_430,i_0_431,i_0_432,i_0_310,i_0_311,i_0_312,i_0_364,i_0_365]) ).
cnf(i_0_491,plain,
( nil = X1
| hd(X1) = esk46_1(X1)
| ~ ssList(X1) ),
inference(rename_variables,[],[i_0_365]) ).
cnf(i_0_492,plain,
~ neq(app(esk50_0,esk52_0),esk51_0),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_377,i_0_379,i_0_380,i_0_385,i_0_387,i_0_389,i_0_382,i_0_369,i_0_370,i_0_371,i_0_372,i_0_373,i_0_374,i_0_375,i_0_391,i_0_347,i_0_348,i_0_349,i_0_350,i_0_351,i_0_451,i_0_453,i_0_392,i_0_405,i_0_406,i_0_407,i_0_424,i_0_429,i_0_430,i_0_431,i_0_432,i_0_310,i_0_311,i_0_312,i_0_364,i_0_365,i_0_280]) ).
cnf(i_0_493,plain,
( X1 != X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ neq(X1,X2) ),
inference(rename_variables,[],[i_0_280]) ).
cnf(i_0_494,plain,
memberP(cons(esk2_0,esk52_0),esk2_0),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_377,i_0_379,i_0_380,i_0_385,i_0_387,i_0_389,i_0_382,i_0_369,i_0_370,i_0_371,i_0_372,i_0_373,i_0_374,i_0_375,i_0_391,i_0_347,i_0_348,i_0_349,i_0_350,i_0_351,i_0_451,i_0_453,i_0_392,i_0_405,i_0_406,i_0_407,i_0_424,i_0_429,i_0_430,i_0_431,i_0_432,i_0_310,i_0_311,i_0_312,i_0_364,i_0_365,i_0_280,i_0_446]) ).
cnf(i_0_495,plain,
( ~ ssItem(X1)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1)
| ~ ssList(X2) ),
inference(rename_variables,[],[i_0_446]) ).
cnf(i_0_496,plain,
rearsegP(esk51_0,esk52_0),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_377,i_0_378,i_0_379,i_0_380,i_0_385,i_0_387,i_0_389,i_0_382,i_0_369,i_0_370,i_0_371,i_0_372,i_0_373,i_0_374,i_0_375,i_0_391,i_0_347,i_0_348,i_0_349,i_0_350,i_0_351,i_0_451,i_0_453,i_0_392,i_0_405,i_0_406,i_0_407,i_0_424,i_0_429,i_0_430,i_0_431,i_0_432,i_0_310,i_0_311,i_0_312,i_0_364,i_0_365,i_0_280,i_0_446,i_0_255]) ).
cnf(i_0_497,plain,
( app(X1,X2) != X3
| ~ ssList(X2)
| ~ ssList(X3)
| rearsegP(X3,X2)
| ~ ssList(X1) ),
inference(rename_variables,[],[i_0_255]) ).
cnf(i_0_498,plain,
frontsegP(esk51_0,esk50_0),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_377,i_0_378,i_0_379,i_0_380,i_0_385,i_0_387,i_0_389,i_0_382,i_0_369,i_0_370,i_0_371,i_0_372,i_0_373,i_0_374,i_0_375,i_0_391,i_0_347,i_0_348,i_0_349,i_0_350,i_0_351,i_0_451,i_0_453,i_0_392,i_0_405,i_0_406,i_0_407,i_0_424,i_0_429,i_0_430,i_0_431,i_0_432,i_0_310,i_0_311,i_0_312,i_0_364,i_0_365,i_0_280,i_0_446,i_0_255,i_0_256]) ).
cnf(i_0_499,plain,
( app(X1,X2) != X3
| ~ ssList(X1)
| ~ ssList(X3)
| frontsegP(X3,X1)
| ~ ssList(X2) ),
inference(rename_variables,[],[i_0_256]) ).
cnf(i_0_500,plain,
frontsegP(cons(esk2_0,esk52_0),cons(esk2_0,esk52_0)),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_377,i_0_378,i_0_379,i_0_380,i_0_385,i_0_387,i_0_389,i_0_382,i_0_369,i_0_370,i_0_371,i_0_372,i_0_373,i_0_374,i_0_375,i_0_391,i_0_347,i_0_348,i_0_349,i_0_350,i_0_351,i_0_451,i_0_453,i_0_392,i_0_405,i_0_406,i_0_407,i_0_424,i_0_429,i_0_430,i_0_431,i_0_432,i_0_310,i_0_311,i_0_312,i_0_364,i_0_365,i_0_280,i_0_446,i_0_255,i_0_256,i_0_439]) ).
cnf(i_0_501,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X3)
| frontsegP(cons(X3,X2),cons(X3,X1))
| ~ frontsegP(X2,X1) ),
inference(rename_variables,[],[i_0_439]) ).
cnf(i_0_502,plain,
( X1 != esk52_0
| ~ neq(X1,esk52_0) ),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_377,i_0_378,i_0_379,i_0_380,i_0_385,i_0_387,i_0_389,i_0_382,i_0_369,i_0_370,i_0_371,i_0_372,i_0_373,i_0_374,i_0_375,i_0_391,i_0_347,i_0_348,i_0_349,i_0_350,i_0_351,i_0_451,i_0_453,i_0_392,i_0_405,i_0_406,i_0_407,i_0_424,i_0_429,i_0_430,i_0_431,i_0_432,i_0_310,i_0_311,i_0_312,i_0_364,i_0_365,i_0_280,i_0_446,i_0_255,i_0_256,i_0_439,i_0_420]) ).
cnf(i_0_503,plain,
~ neq(app(esk50_0,esk52_0),app(esk50_0,esk52_0)),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_377,i_0_378,i_0_379,i_0_380,i_0_385,i_0_387,i_0_389,i_0_382,i_0_369,i_0_370,i_0_371,i_0_372,i_0_373,i_0_374,i_0_375,i_0_391,i_0_347,i_0_348,i_0_349,i_0_350,i_0_351,i_0_451,i_0_453,i_0_392,i_0_405,i_0_406,i_0_407,i_0_424,i_0_429,i_0_430,i_0_431,i_0_432,i_0_310,i_0_311,i_0_312,i_0_364,i_0_365,i_0_280,i_0_446,i_0_255,i_0_256,i_0_439,i_0_420,i_0_421]) ).
cnf(i_0_504,plain,
( ssItem(X1)
| esk2_0 != X1 ),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_377,i_0_378,i_0_379,i_0_380,i_0_385,i_0_387,i_0_389,i_0_382,i_0_369,i_0_370,i_0_371,i_0_372,i_0_373,i_0_374,i_0_375,i_0_391,i_0_347,i_0_348,i_0_349,i_0_350,i_0_351,i_0_451,i_0_453,i_0_392,i_0_405,i_0_406,i_0_407,i_0_424,i_0_429,i_0_430,i_0_431,i_0_432,i_0_310,i_0_311,i_0_312,i_0_364,i_0_365,i_0_280,i_0_446,i_0_255,i_0_256,i_0_439,i_0_420,i_0_421,i_0_423]) ).
cnf(i_0_505,plain,
( X1 != X2
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ neq(X1,X2) ),
inference(rename_variables,[],[i_0_282]) ).
cnf(i_0_506,plain,
( ~ ssItem(app(esk50_0,esk52_0))
| frontsegP(app(esk52_0,esk52_0),esk52_0)
| esk2_0 != esk51_0
| ~ ssList(app(esk52_0,esk52_0)) ),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_377,i_0_378,i_0_379,i_0_380,i_0_385,i_0_387,i_0_389,i_0_382,i_0_369,i_0_370,i_0_371,i_0_372,i_0_373,i_0_374,i_0_375,i_0_391,i_0_347,i_0_348,i_0_349,i_0_350,i_0_351,i_0_451,i_0_453,i_0_392,i_0_405,i_0_406,i_0_407,i_0_424,i_0_429,i_0_430,i_0_431,i_0_432,i_0_310,i_0_311,i_0_312,i_0_364,i_0_365,i_0_280,i_0_446,i_0_255,i_0_256,i_0_439,i_0_421,i_0_423,i_0_282,i_0_301,i_0_302,i_0_448]) ).
cnf(i_0_507,plain,
~ neq(esk52_0,esk52_0),
inference(equality_inference,[],[502]) ).
cnf(i_0_508,plain,
ssItem(esk2_0),
inference(equality_inference,[],[504]) ).
cnf(i_0_509,plain,
segmentP(esk50_0,esk50_0),
inference(scs_inference,[],[i_0_378,i_0_349]) ).
cnf(i_0_510,plain,
( ~ ssList(X1)
| segmentP(X1,X1) ),
inference(rename_variables,[],[i_0_349]) ).
cnf(i_0_511,plain,
rearsegP(esk50_0,esk50_0),
inference(scs_inference,[],[i_0_378,i_0_349,i_0_350]) ).
cnf(i_0_512,plain,
( ~ ssList(X1)
| rearsegP(X1,X1) ),
inference(rename_variables,[],[i_0_350]) ).
cnf(i_0_513,plain,
frontsegP(esk50_0,esk50_0),
inference(scs_inference,[],[i_0_378,i_0_349,i_0_350,i_0_351]) ).
cnf(i_0_514,plain,
( ~ ssList(X1)
| frontsegP(X1,X1) ),
inference(rename_variables,[],[i_0_351]) ).
cnf(i_0_515,plain,
geq(esk1_0,esk1_0),
inference(scs_inference,[],[i_0_378,i_0_383,i_0_349,i_0_350,i_0_351,i_0_347]) ).
cnf(i_0_516,plain,
( ~ ssItem(X1)
| geq(X1,X1) ),
inference(rename_variables,[],[i_0_347]) ).
cnf(i_0_517,plain,
leq(esk1_0,esk1_0),
inference(scs_inference,[],[i_0_378,i_0_383,i_0_349,i_0_350,i_0_351,i_0_347,i_0_348]) ).
cnf(i_0_518,plain,
( ~ ssItem(X1)
| leq(X1,X1) ),
inference(rename_variables,[],[i_0_348]) ).
cnf(i_0_519,plain,
esk50_0 = esk48_0,
inference(scs_inference,[],[i_0_388,i_0_378,i_0_383,i_0_349,i_0_350,i_0_351,i_0_347,i_0_348,i_0_391]) ).
cnf(i_0_520,plain,
~ neq(esk50_0,esk50_0),
inference(scs_inference,[],[i_0_388,i_0_378,i_0_383,i_0_349,i_0_350,i_0_351,i_0_347,i_0_348,i_0_391,i_0_451]) ).
cnf(i_0_521,plain,
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(rename_variables,[],[i_0_451]) ).
cnf(i_0_522,plain,
~ neq(esk1_0,esk1_0),
inference(scs_inference,[],[i_0_388,i_0_378,i_0_383,i_0_349,i_0_350,i_0_351,i_0_347,i_0_348,i_0_391,i_0_451,i_0_453]) ).
cnf(i_0_523,plain,
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(rename_variables,[],[i_0_453]) ).
cnf(i_0_524,plain,
segmentP(nil,esk51_0),
inference(scs_inference,[],[i_0_388,i_0_378,i_0_377,i_0_473,i_0_383,i_0_349,i_0_350,i_0_351,i_0_347,i_0_348,i_0_391,i_0_451,i_0_453,i_0_310]) ).
cnf(i_0_525,plain,
( nil != X1
| segmentP(nil,X1)
| ~ ssList(X1) ),
inference(rename_variables,[],[i_0_310]) ).
cnf(i_0_526,plain,
rearsegP(nil,esk51_0),
inference(scs_inference,[],[i_0_388,i_0_378,i_0_377,i_0_473,i_0_383,i_0_349,i_0_350,i_0_351,i_0_347,i_0_348,i_0_391,i_0_451,i_0_453,i_0_310,i_0_311]) ).
cnf(i_0_527,plain,
( nil != X1
| rearsegP(nil,X1)
| ~ ssList(X1) ),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_528,plain,
frontsegP(nil,esk51_0),
inference(scs_inference,[],[i_0_388,i_0_378,i_0_377,i_0_473,i_0_383,i_0_349,i_0_350,i_0_351,i_0_347,i_0_348,i_0_391,i_0_451,i_0_453,i_0_310,i_0_311,i_0_312]) ).
cnf(i_0_529,plain,
( nil != X1
| frontsegP(nil,X1)
| ~ ssList(X1) ),
inference(rename_variables,[],[i_0_312]) ).
cnf(i_0_530,plain,
nil != esk50_0,
inference(scs_inference,[],[i_0_388,i_0_378,i_0_385,i_0_377,i_0_473,i_0_383,i_0_349,i_0_350,i_0_351,i_0_347,i_0_348,i_0_391,i_0_451,i_0_453,i_0_310,i_0_311,i_0_312,i_0_392]) ).
cnf(i_0_531,plain,
cyclefreeP(esk51_0),
inference(scs_inference,[],[i_0_388,i_0_387,i_0_378,i_0_385,i_0_377,i_0_473,i_0_383,i_0_474,i_0_349,i_0_350,i_0_351,i_0_347,i_0_348,i_0_391,i_0_451,i_0_453,i_0_310,i_0_311,i_0_312,i_0_392,i_0_405]) ).
cnf(i_0_532,plain,
duplicatefreeP(esk51_0),
inference(scs_inference,[],[i_0_388,i_0_387,i_0_378,i_0_385,i_0_377,i_0_473,i_0_383,i_0_474,i_0_475,i_0_349,i_0_350,i_0_351,i_0_347,i_0_348,i_0_391,i_0_451,i_0_453,i_0_310,i_0_311,i_0_312,i_0_392,i_0_405,i_0_406]) ).
cnf(i_0_533,plain,
equalelemsP(esk48_0),
inference(scs_inference,[],[i_0_368,i_0_388,i_0_387,i_0_378,i_0_385,i_0_377,i_0_473,i_0_383,i_0_474,i_0_475,i_0_349,i_0_350,i_0_351,i_0_347,i_0_348,i_0_391,i_0_451,i_0_453,i_0_310,i_0_311,i_0_312,i_0_392,i_0_405,i_0_406,i_0_407]) ).
cnf(i_0_534,plain,
~ neq(esk51_0,esk51_0),
inference(scs_inference,[],[i_0_368,i_0_388,i_0_387,i_0_378,i_0_385,i_0_377,i_0_492,i_0_473,i_0_458,i_0_383,i_0_474,i_0_475,i_0_349,i_0_350,i_0_351,i_0_347,i_0_348,i_0_391,i_0_451,i_0_453,i_0_310,i_0_311,i_0_312,i_0_392,i_0_405,i_0_406,i_0_407,i_0_420]) ).
cnf(i_0_535,plain,
~ neq(esk50_0,esk48_0),
inference(scs_inference,[],[i_0_368,i_0_388,i_0_387,i_0_378,i_0_385,i_0_377,i_0_492,i_0_473,i_0_458,i_0_383,i_0_474,i_0_475,i_0_349,i_0_350,i_0_351,i_0_347,i_0_348,i_0_391,i_0_451,i_0_453,i_0_310,i_0_311,i_0_312,i_0_392,i_0_405,i_0_406,i_0_407,i_0_420,i_0_421]) ).
cnf(i_0_536,plain,
strictorderP(esk51_0),
inference(scs_inference,[],[i_0_368,i_0_388,i_0_387,i_0_378,i_0_385,i_0_377,i_0_492,i_0_473,i_0_458,i_0_383,i_0_474,i_0_475,i_0_478,i_0_349,i_0_350,i_0_351,i_0_347,i_0_348,i_0_391,i_0_451,i_0_453,i_0_310,i_0_311,i_0_312,i_0_392,i_0_405,i_0_406,i_0_407,i_0_420,i_0_421,i_0_429]) ).
cnf(i_0_537,plain,
totalorderP(esk51_0),
inference(scs_inference,[],[i_0_368,i_0_388,i_0_387,i_0_378,i_0_385,i_0_377,i_0_492,i_0_473,i_0_458,i_0_383,i_0_474,i_0_475,i_0_478,i_0_479,i_0_349,i_0_350,i_0_351,i_0_347,i_0_348,i_0_391,i_0_451,i_0_453,i_0_310,i_0_311,i_0_312,i_0_392,i_0_405,i_0_406,i_0_407,i_0_420,i_0_421,i_0_429,i_0_430]) ).
cnf(i_0_538,plain,
strictorderedP(esk51_0),
inference(scs_inference,[],[i_0_368,i_0_388,i_0_387,i_0_378,i_0_385,i_0_377,i_0_492,i_0_473,i_0_458,i_0_383,i_0_474,i_0_475,i_0_478,i_0_479,i_0_480,i_0_349,i_0_350,i_0_351,i_0_347,i_0_348,i_0_391,i_0_451,i_0_453,i_0_310,i_0_311,i_0_312,i_0_392,i_0_405,i_0_406,i_0_407,i_0_420,i_0_421,i_0_429,i_0_430,i_0_431]) ).
cnf(i_0_539,plain,
totalorderedP(esk51_0),
inference(scs_inference,[],[i_0_368,i_0_388,i_0_387,i_0_378,i_0_385,i_0_377,i_0_492,i_0_473,i_0_458,i_0_383,i_0_474,i_0_475,i_0_478,i_0_479,i_0_480,i_0_481,i_0_349,i_0_350,i_0_351,i_0_347,i_0_348,i_0_391,i_0_451,i_0_453,i_0_310,i_0_311,i_0_312,i_0_392,i_0_405,i_0_406,i_0_407,i_0_420,i_0_421,i_0_429,i_0_430,i_0_431,i_0_432]) ).
cnf(i_0_540,plain,
memberP(cons(esk1_0,esk52_0),esk1_0),
inference(scs_inference,[],[i_0_376,i_0_368,i_0_388,i_0_387,i_0_378,i_0_385,i_0_377,i_0_492,i_0_473,i_0_458,i_0_383,i_0_474,i_0_475,i_0_478,i_0_479,i_0_480,i_0_481,i_0_349,i_0_350,i_0_351,i_0_347,i_0_348,i_0_391,i_0_451,i_0_453,i_0_310,i_0_311,i_0_312,i_0_392,i_0_405,i_0_406,i_0_407,i_0_420,i_0_421,i_0_429,i_0_430,i_0_431,i_0_432,i_0_446]) ).
cnf(i_0_541,plain,
( ~ ssItem(X1)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1)
| ~ ssList(X2) ),
inference(rename_variables,[],[i_0_446]) ).
cnf(i_0_542,plain,
~ neq(esk48_0,esk50_0),
inference(scs_inference,[],[i_0_376,i_0_368,i_0_388,i_0_387,i_0_378,i_0_380,i_0_385,i_0_377,i_0_492,i_0_473,i_0_458,i_0_383,i_0_474,i_0_475,i_0_478,i_0_479,i_0_480,i_0_481,i_0_349,i_0_350,i_0_351,i_0_347,i_0_348,i_0_391,i_0_451,i_0_453,i_0_310,i_0_311,i_0_312,i_0_392,i_0_405,i_0_406,i_0_407,i_0_420,i_0_421,i_0_429,i_0_430,i_0_431,i_0_432,i_0_446,i_0_280]) ).
cnf(i_0_543,plain,
( X1 != X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ neq(X1,X2) ),
inference(rename_variables,[],[i_0_280]) ).
cnf(i_0_544,plain,
frontsegP(cons(esk2_0,esk50_0),cons(esk2_0,esk50_0)),
inference(scs_inference,[],[i_0_376,i_0_368,i_0_388,i_0_387,i_0_378,i_0_380,i_0_385,i_0_377,i_0_382,i_0_492,i_0_473,i_0_458,i_0_383,i_0_474,i_0_475,i_0_478,i_0_479,i_0_480,i_0_481,i_0_349,i_0_350,i_0_351,i_0_347,i_0_348,i_0_391,i_0_451,i_0_453,i_0_310,i_0_311,i_0_312,i_0_392,i_0_405,i_0_406,i_0_407,i_0_420,i_0_421,i_0_429,i_0_430,i_0_431,i_0_432,i_0_446,i_0_280,i_0_439]) ).
cnf(i_0_545,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X3)
| frontsegP(cons(X3,X2),cons(X3,X1))
| ~ frontsegP(X2,X1) ),
inference(rename_variables,[],[i_0_439]) ).
cnf(i_0_546,plain,
tl(esk50_0) = esk47_1(esk50_0),
inference(scs_inference,[],[i_0_376,i_0_368,i_0_388,i_0_387,i_0_378,i_0_380,i_0_385,i_0_377,i_0_382,i_0_492,i_0_473,i_0_458,i_0_383,i_0_474,i_0_475,i_0_478,i_0_479,i_0_480,i_0_481,i_0_349,i_0_350,i_0_351,i_0_347,i_0_348,i_0_391,i_0_451,i_0_453,i_0_310,i_0_311,i_0_312,i_0_392,i_0_405,i_0_406,i_0_407,i_0_420,i_0_421,i_0_429,i_0_430,i_0_431,i_0_432,i_0_446,i_0_280,i_0_439,i_0_364]) ).
cnf(i_0_547,plain,
( nil = X1
| tl(X1) = esk47_1(X1)
| ~ ssList(X1) ),
inference(rename_variables,[],[i_0_364]) ).
cnf(i_0_548,plain,
hd(esk50_0) = esk46_1(esk50_0),
inference(scs_inference,[],[i_0_376,i_0_368,i_0_388,i_0_387,i_0_378,i_0_380,i_0_385,i_0_377,i_0_382,i_0_492,i_0_473,i_0_458,i_0_383,i_0_474,i_0_475,i_0_478,i_0_479,i_0_480,i_0_481,i_0_349,i_0_350,i_0_351,i_0_347,i_0_348,i_0_391,i_0_451,i_0_453,i_0_310,i_0_311,i_0_312,i_0_392,i_0_405,i_0_406,i_0_407,i_0_420,i_0_421,i_0_429,i_0_430,i_0_431,i_0_432,i_0_446,i_0_280,i_0_439,i_0_364,i_0_365]) ).
cnf(i_0_549,plain,
( nil = X1
| hd(X1) = esk46_1(X1)
| ~ ssList(X1) ),
inference(rename_variables,[],[i_0_365]) ).
cnf(i_0_550,plain,
( ssItem(X1)
| esk1_0 != X1 ),
inference(scs_inference,[],[i_0_376,i_0_368,i_0_388,i_0_387,i_0_378,i_0_380,i_0_385,i_0_377,i_0_382,i_0_492,i_0_473,i_0_458,i_0_383,i_0_474,i_0_475,i_0_478,i_0_479,i_0_480,i_0_481,i_0_349,i_0_350,i_0_351,i_0_347,i_0_348,i_0_391,i_0_451,i_0_453,i_0_310,i_0_311,i_0_312,i_0_392,i_0_405,i_0_406,i_0_407,i_0_420,i_0_421,i_0_429,i_0_430,i_0_431,i_0_432,i_0_446,i_0_280,i_0_439,i_0_364,i_0_365,i_0_423]) ).
cnf(i_0_551,plain,
( ssList(X1)
| esk52_0 != X1 ),
inference(scs_inference,[],[i_0_376,i_0_368,i_0_388,i_0_387,i_0_378,i_0_380,i_0_385,i_0_377,i_0_382,i_0_492,i_0_473,i_0_458,i_0_383,i_0_474,i_0_475,i_0_478,i_0_479,i_0_480,i_0_481,i_0_349,i_0_350,i_0_351,i_0_347,i_0_348,i_0_391,i_0_451,i_0_453,i_0_310,i_0_311,i_0_312,i_0_392,i_0_405,i_0_406,i_0_407,i_0_420,i_0_421,i_0_429,i_0_430,i_0_431,i_0_432,i_0_446,i_0_280,i_0_439,i_0_364,i_0_365,i_0_423,i_0_424]) ).
cnf(i_0_552,plain,
( X1 != X2
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ neq(X1,X2) ),
inference(rename_variables,[],[i_0_282]) ).
cnf(i_0_553,plain,
( ~ ssItem(app(esk50_0,esk52_0))
| memberP(app(esk52_0,cons(esk2_0,esk52_0)),esk2_0)
| esk1_0 != esk51_0
| esk52_0 != app(esk52_0,esk52_0)
| ~ ssList(app(esk52_0,cons(esk2_0,esk52_0))) ),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_368,i_0_388,i_0_387,i_0_378,i_0_380,i_0_385,i_0_377,i_0_382,i_0_492,i_0_473,i_0_477,i_0_458,i_0_383,i_0_474,i_0_475,i_0_478,i_0_479,i_0_480,i_0_481,i_0_349,i_0_350,i_0_351,i_0_347,i_0_348,i_0_391,i_0_451,i_0_453,i_0_310,i_0_311,i_0_312,i_0_392,i_0_405,i_0_406,i_0_407,i_0_420,i_0_421,i_0_429,i_0_430,i_0_431,i_0_432,i_0_446,i_0_280,i_0_439,i_0_364,i_0_365,i_0_423,i_0_424,i_0_282,i_0_302,i_0_447,i_0_448,i_0_543,i_0_301,i_0_441]) ).
cnf(i_0_554,plain,
ssItem(esk1_0),
inference(equality_inference,[],[550]) ).
cnf(i_0_555,plain,
ssList(esk52_0),
inference(equality_inference,[],[551]) ).
cnf(i_0_556,plain,
segmentP(esk49_0,esk49_0),
inference(scs_inference,[],[i_0_379,i_0_349]) ).
cnf(i_0_557,plain,
( ~ ssList(X1)
| segmentP(X1,X1) ),
inference(rename_variables,[],[i_0_349]) ).
cnf(i_0_558,plain,
rearsegP(esk49_0,esk49_0),
inference(scs_inference,[],[i_0_379,i_0_349,i_0_350]) ).
cnf(i_0_559,plain,
( ~ ssList(X1)
| rearsegP(X1,X1) ),
inference(rename_variables,[],[i_0_350]) ).
cnf(i_0_560,plain,
frontsegP(esk49_0,esk49_0),
inference(scs_inference,[],[i_0_379,i_0_349,i_0_350,i_0_351]) ).
cnf(i_0_561,plain,
( ~ ssList(X1)
| frontsegP(X1,X1) ),
inference(rename_variables,[],[i_0_351]) ).
cnf(i_0_562,plain,
esk51_0 = esk49_0,
inference(scs_inference,[],[i_0_379,i_0_387,i_0_349,i_0_350,i_0_351,i_0_391]) ).
cnf(i_0_563,plain,
~ neq(esk49_0,esk49_0),
inference(scs_inference,[],[i_0_379,i_0_387,i_0_349,i_0_350,i_0_351,i_0_391,i_0_451]) ).
cnf(i_0_564,plain,
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(rename_variables,[],[i_0_451]) ).
cnf(i_0_565,plain,
cyclefreeP(app(esk50_0,esk52_0)),
inference(scs_inference,[],[i_0_379,i_0_387,i_0_531,i_0_458,i_0_349,i_0_350,i_0_351,i_0_391,i_0_451,i_0_405]) ).
cnf(i_0_566,plain,
duplicatefreeP(app(esk50_0,esk52_0)),
inference(scs_inference,[],[i_0_379,i_0_387,i_0_531,i_0_532,i_0_458,i_0_349,i_0_350,i_0_351,i_0_391,i_0_451,i_0_405,i_0_406]) ).
cnf(i_0_567,plain,
equalelemsP(esk51_0),
inference(scs_inference,[],[i_0_379,i_0_387,i_0_476,i_0_531,i_0_532,i_0_458,i_0_349,i_0_350,i_0_351,i_0_391,i_0_451,i_0_405,i_0_406,i_0_407]) ).
cnf(i_0_568,plain,
~ neq(esk51_0,app(esk50_0,esk52_0)),
inference(scs_inference,[],[i_0_379,i_0_387,i_0_503,i_0_476,i_0_531,i_0_532,i_0_458,i_0_349,i_0_350,i_0_351,i_0_391,i_0_451,i_0_405,i_0_406,i_0_407,i_0_420]) ).
cnf(i_0_569,plain,
strictorderP(app(esk50_0,esk52_0)),
inference(scs_inference,[],[i_0_379,i_0_387,i_0_503,i_0_476,i_0_531,i_0_532,i_0_536,i_0_458,i_0_349,i_0_350,i_0_351,i_0_391,i_0_451,i_0_405,i_0_406,i_0_407,i_0_420,i_0_429]) ).
cnf(i_0_570,plain,
totalorderP(app(esk50_0,esk52_0)),
inference(scs_inference,[],[i_0_379,i_0_387,i_0_503,i_0_476,i_0_531,i_0_532,i_0_536,i_0_537,i_0_458,i_0_349,i_0_350,i_0_351,i_0_391,i_0_451,i_0_405,i_0_406,i_0_407,i_0_420,i_0_429,i_0_430]) ).
cnf(i_0_571,plain,
strictorderedP(app(esk50_0,esk52_0)),
inference(scs_inference,[],[i_0_379,i_0_387,i_0_503,i_0_476,i_0_531,i_0_532,i_0_536,i_0_537,i_0_538,i_0_458,i_0_349,i_0_350,i_0_351,i_0_391,i_0_451,i_0_405,i_0_406,i_0_407,i_0_420,i_0_429,i_0_430,i_0_431]) ).
cnf(i_0_572,plain,
totalorderedP(app(esk50_0,esk52_0)),
inference(scs_inference,[],[i_0_379,i_0_387,i_0_503,i_0_476,i_0_531,i_0_532,i_0_536,i_0_537,i_0_538,i_0_539,i_0_458,i_0_349,i_0_350,i_0_351,i_0_391,i_0_451,i_0_405,i_0_406,i_0_407,i_0_420,i_0_429,i_0_430,i_0_431,i_0_432]) ).
cnf(i_0_573,plain,
app(esk50_0,esk52_0) = esk49_0,
inference(scs_inference,[],[i_0_366,i_0_379,i_0_387,i_0_503,i_0_476,i_0_531,i_0_532,i_0_536,i_0_537,i_0_538,i_0_539,i_0_458,i_0_349,i_0_350,i_0_351,i_0_391,i_0_451,i_0_405,i_0_406,i_0_407,i_0_420,i_0_429,i_0_430,i_0_431,i_0_432,i_0_392]) ).
cnf(i_0_574,plain,
~ neq(esk48_0,esk48_0),
inference(scs_inference,[],[i_0_366,i_0_379,i_0_388,i_0_387,i_0_503,i_0_476,i_0_531,i_0_532,i_0_536,i_0_537,i_0_538,i_0_539,i_0_542,i_0_458,i_0_349,i_0_350,i_0_351,i_0_391,i_0_451,i_0_405,i_0_406,i_0_407,i_0_420,i_0_429,i_0_430,i_0_431,i_0_432,i_0_392,i_0_421]) ).
cnf(i_0_575,plain,
~ neq(esk49_0,esk51_0),
inference(scs_inference,[],[i_0_366,i_0_379,i_0_377,i_0_388,i_0_387,i_0_503,i_0_476,i_0_531,i_0_532,i_0_536,i_0_537,i_0_538,i_0_539,i_0_542,i_0_458,i_0_349,i_0_350,i_0_351,i_0_391,i_0_451,i_0_405,i_0_406,i_0_407,i_0_420,i_0_429,i_0_430,i_0_431,i_0_432,i_0_392,i_0_421,i_0_280]) ).
cnf(i_0_576,plain,
( X1 != X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ neq(X1,X2) ),
inference(rename_variables,[],[i_0_280]) ).
cnf(i_0_577,plain,
rearsegP(esk49_0,esk52_0),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_378,i_0_379,i_0_377,i_0_388,i_0_387,i_0_503,i_0_476,i_0_531,i_0_532,i_0_536,i_0_537,i_0_538,i_0_539,i_0_542,i_0_458,i_0_349,i_0_350,i_0_351,i_0_391,i_0_451,i_0_405,i_0_406,i_0_407,i_0_420,i_0_429,i_0_430,i_0_431,i_0_432,i_0_392,i_0_421,i_0_280,i_0_255]) ).
cnf(i_0_578,plain,
( app(X1,X2) != X3
| ~ ssList(X2)
| ~ ssList(X3)
| rearsegP(X3,X2)
| ~ ssList(X1) ),
inference(rename_variables,[],[i_0_255]) ).
cnf(i_0_579,plain,
frontsegP(esk49_0,esk50_0),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_378,i_0_379,i_0_377,i_0_388,i_0_387,i_0_503,i_0_476,i_0_531,i_0_532,i_0_536,i_0_537,i_0_538,i_0_539,i_0_542,i_0_458,i_0_349,i_0_350,i_0_351,i_0_391,i_0_451,i_0_405,i_0_406,i_0_407,i_0_420,i_0_429,i_0_430,i_0_431,i_0_432,i_0_392,i_0_421,i_0_280,i_0_255,i_0_256]) ).
cnf(i_0_580,plain,
( app(X1,X2) != X3
| ~ ssList(X1)
| ~ ssList(X3)
| frontsegP(X3,X1)
| ~ ssList(X2) ),
inference(rename_variables,[],[i_0_256]) ).
cnf(i_0_581,plain,
frontsegP(cons(esk2_0,esk49_0),cons(esk2_0,esk49_0)),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_378,i_0_379,i_0_377,i_0_388,i_0_387,i_0_382,i_0_503,i_0_476,i_0_531,i_0_532,i_0_536,i_0_537,i_0_538,i_0_539,i_0_542,i_0_458,i_0_349,i_0_350,i_0_351,i_0_391,i_0_451,i_0_405,i_0_406,i_0_407,i_0_420,i_0_429,i_0_430,i_0_431,i_0_432,i_0_392,i_0_421,i_0_280,i_0_255,i_0_256,i_0_439]) ).
cnf(i_0_582,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X3)
| frontsegP(cons(X3,X2),cons(X3,X1))
| ~ frontsegP(X2,X1) ),
inference(rename_variables,[],[i_0_439]) ).
cnf(i_0_583,plain,
( rearsegP(app(esk52_0,esk52_0),esk52_0)
| ~ ssList(app(esk52_0,esk52_0)) ),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_378,i_0_379,i_0_377,i_0_388,i_0_387,i_0_382,i_0_503,i_0_476,i_0_531,i_0_532,i_0_536,i_0_537,i_0_538,i_0_539,i_0_542,i_0_458,i_0_349,i_0_350,i_0_351,i_0_391,i_0_451,i_0_405,i_0_406,i_0_407,i_0_420,i_0_429,i_0_430,i_0_431,i_0_432,i_0_392,i_0_421,i_0_280,i_0_255,i_0_256,i_0_439,i_0_447]) ).
cnf(i_0_584,plain,
( ~ ssList(X1)
| rearsegP(app(X1,X2),X2)
| ~ ssList(X2)
| ~ ssList(app(X1,X2)) ),
inference(rename_variables,[],[i_0_447]) ).
cnf(i_0_585,plain,
( ~ ssItem(app(esk50_0,esk52_0))
| ~ ssItem(esk51_0)
| frontsegP(app(esk52_0,esk52_0),esk52_0)
| ~ ssList(app(esk52_0,esk52_0)) ),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_378,i_0_379,i_0_377,i_0_388,i_0_387,i_0_382,i_0_492,i_0_503,i_0_476,i_0_531,i_0_532,i_0_536,i_0_537,i_0_538,i_0_539,i_0_542,i_0_458,i_0_349,i_0_350,i_0_351,i_0_391,i_0_451,i_0_405,i_0_406,i_0_407,i_0_420,i_0_429,i_0_430,i_0_431,i_0_432,i_0_392,i_0_421,i_0_280,i_0_255,i_0_256,i_0_439,i_0_282,i_0_302,i_0_448]) ).
cnf(i_0_586,plain,
segmentP(esk48_0,esk48_0),
inference(scs_inference,[],[i_0_380,i_0_349]) ).
cnf(i_0_587,plain,
( ~ ssList(X1)
| segmentP(X1,X1) ),
inference(rename_variables,[],[i_0_349]) ).
cnf(i_0_588,plain,
rearsegP(esk48_0,esk48_0),
inference(scs_inference,[],[i_0_380,i_0_349,i_0_350]) ).
cnf(i_0_589,plain,
( ~ ssList(X1)
| rearsegP(X1,X1) ),
inference(rename_variables,[],[i_0_350]) ).
cnf(i_0_590,plain,
frontsegP(esk48_0,esk48_0),
inference(scs_inference,[],[i_0_380,i_0_349,i_0_350,i_0_351]) ).
cnf(i_0_591,plain,
( ~ ssList(X1)
| frontsegP(X1,X1) ),
inference(rename_variables,[],[i_0_351]) ).
cnf(i_0_592,plain,
esk49_0 = nil,
inference(scs_inference,[],[i_0_389,i_0_380,i_0_349,i_0_350,i_0_351,i_0_391]) ).
cnf(i_0_593,plain,
~ neq(nil,nil),
inference(scs_inference,[],[i_0_389,i_0_380,i_0_381,i_0_349,i_0_350,i_0_351,i_0_391,i_0_451]) ).
cnf(i_0_594,plain,
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(rename_variables,[],[i_0_451]) ).
cnf(i_0_595,plain,
~ neq(nil,esk49_0),
inference(scs_inference,[],[i_0_389,i_0_380,i_0_381,i_0_563,i_0_349,i_0_350,i_0_351,i_0_391,i_0_451,i_0_420]) ).
cnf(i_0_596,plain,
~ neq(esk49_0,nil),
inference(scs_inference,[],[i_0_389,i_0_380,i_0_381,i_0_563,i_0_349,i_0_350,i_0_351,i_0_391,i_0_451,i_0_420,i_0_421]) ).
cnf(i_0_597,plain,
~ neq(nil,esk51_0),
inference(scs_inference,[],[i_0_389,i_0_380,i_0_377,i_0_473,i_0_381,i_0_563,i_0_349,i_0_350,i_0_351,i_0_391,i_0_451,i_0_420,i_0_421,i_0_280]) ).
cnf(i_0_598,plain,
( X1 != X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ neq(X1,X2) ),
inference(rename_variables,[],[i_0_280]) ).
cnf(i_0_599,plain,
frontsegP(cons(esk2_0,esk48_0),cons(esk2_0,esk48_0)),
inference(scs_inference,[],[i_0_389,i_0_380,i_0_377,i_0_382,i_0_473,i_0_381,i_0_563,i_0_349,i_0_350,i_0_351,i_0_391,i_0_451,i_0_420,i_0_421,i_0_280,i_0_439]) ).
cnf(i_0_600,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X3)
| frontsegP(cons(X3,X2),cons(X3,X1))
| ~ frontsegP(X2,X1) ),
inference(rename_variables,[],[i_0_439]) ).
cnf(i_0_601,plain,
( X1 = esk47_1(esk48_0)
| X1 != tl(esk48_0) ),
inference(scs_inference,[],[i_0_389,i_0_380,i_0_377,i_0_382,i_0_473,i_0_381,i_0_563,i_0_488,i_0_349,i_0_350,i_0_351,i_0_391,i_0_451,i_0_420,i_0_421,i_0_280,i_0_439,i_0_392]) ).
cnf(i_0_602,plain,
( ssItem(esk47_1(esk48_0))
| esk2_0 != tl(esk48_0) ),
inference(scs_inference,[],[i_0_389,i_0_380,i_0_377,i_0_382,i_0_473,i_0_381,i_0_563,i_0_488,i_0_349,i_0_350,i_0_351,i_0_391,i_0_451,i_0_420,i_0_421,i_0_280,i_0_439,i_0_392,i_0_504]) ).
cnf(i_0_603,plain,
( geq(esk47_1(esk48_0),esk47_1(esk48_0))
| esk2_0 != tl(esk48_0) ),
inference(scs_inference,[],[i_0_389,i_0_380,i_0_377,i_0_382,i_0_473,i_0_381,i_0_563,i_0_488,i_0_349,i_0_350,i_0_351,i_0_391,i_0_451,i_0_420,i_0_421,i_0_280,i_0_439,i_0_392,i_0_504,i_0_347]) ).
cnf(i_0_604,plain,
( ~ ssItem(X1)
| geq(X1,X1) ),
inference(rename_variables,[],[i_0_347]) ).
cnf(i_0_605,plain,
( leq(esk47_1(esk48_0),esk47_1(esk48_0))
| esk2_0 != tl(esk48_0) ),
inference(scs_inference,[],[i_0_389,i_0_380,i_0_377,i_0_382,i_0_473,i_0_381,i_0_563,i_0_488,i_0_349,i_0_350,i_0_351,i_0_391,i_0_451,i_0_420,i_0_421,i_0_280,i_0_439,i_0_392,i_0_504,i_0_347,i_0_348]) ).
cnf(i_0_606,plain,
( ~ ssItem(X1)
| leq(X1,X1) ),
inference(rename_variables,[],[i_0_348]) ).
cnf(i_0_607,plain,
( ~ neq(esk47_1(esk48_0),esk47_1(esk48_0))
| esk2_0 != tl(esk48_0) ),
inference(scs_inference,[],[i_0_389,i_0_380,i_0_377,i_0_382,i_0_473,i_0_381,i_0_563,i_0_488,i_0_349,i_0_350,i_0_351,i_0_391,i_0_451,i_0_420,i_0_421,i_0_280,i_0_439,i_0_392,i_0_504,i_0_347,i_0_348,i_0_453]) ).
cnf(i_0_608,plain,
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(rename_variables,[],[i_0_453]) ).
cnf(i_0_610,plain,
tl(esk48_0) = esk47_1(esk48_0),
inference(equality_inference,[],[601]) ).
cnf(i_0_611,plain,
segmentP(esk51_0,esk51_0),
inference(scs_inference,[],[i_0_377,i_0_349]) ).
cnf(i_0_612,plain,
( ~ ssList(X1)
| segmentP(X1,X1) ),
inference(rename_variables,[],[i_0_349]) ).
cnf(i_0_613,plain,
rearsegP(esk51_0,esk51_0),
inference(scs_inference,[],[i_0_377,i_0_349,i_0_350]) ).
cnf(i_0_614,plain,
( ~ ssList(X1)
| rearsegP(X1,X1) ),
inference(rename_variables,[],[i_0_350]) ).
cnf(i_0_615,plain,
frontsegP(esk51_0,esk51_0),
inference(scs_inference,[],[i_0_377,i_0_349,i_0_350,i_0_351]) ).
cnf(i_0_616,plain,
( ~ ssList(X1)
| frontsegP(X1,X1) ),
inference(rename_variables,[],[i_0_351]) ).
cnf(i_0_617,plain,
esk51_0 = nil,
inference(scs_inference,[],[i_0_377,i_0_473,i_0_349,i_0_350,i_0_351,i_0_391]) ).
cnf(i_0_618,plain,
~ neq(esk49_0,app(esk50_0,esk52_0)),
inference(scs_inference,[],[i_0_366,i_0_377,i_0_473,i_0_575,i_0_349,i_0_350,i_0_351,i_0_391,i_0_421]) ).
cnf(i_0_619,plain,
app(esk50_0,esk52_0) = nil,
inference(scs_inference,[],[i_0_366,i_0_377,i_0_473,i_0_575,i_0_349,i_0_350,i_0_351,i_0_391,i_0_421,i_0_392]) ).
cnf(i_0_620,plain,
esk49_0 = app(esk50_0,esk52_0),
inference(scs_inference,[],[i_0_366,i_0_379,i_0_377,i_0_473,i_0_477,i_0_575,i_0_349,i_0_350,i_0_351,i_0_391,i_0_421,i_0_392,i_0_301]) ).
cnf(i_0_621,plain,
( neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_301]) ).
cnf(i_0_622,plain,
~ neq(app(esk50_0,esk52_0),esk49_0),
inference(scs_inference,[],[i_0_366,i_0_379,i_0_377,i_0_473,i_0_573,i_0_477,i_0_575,i_0_349,i_0_350,i_0_351,i_0_391,i_0_421,i_0_392,i_0_301,i_0_280]) ).
cnf(i_0_623,plain,
( X1 != X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ neq(X1,X2) ),
inference(rename_variables,[],[i_0_280]) ).
cnf(i_0_624,plain,
rearsegP(nil,esk52_0),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_378,i_0_379,i_0_377,i_0_473,i_0_573,i_0_381,i_0_477,i_0_575,i_0_349,i_0_350,i_0_351,i_0_391,i_0_421,i_0_392,i_0_301,i_0_280,i_0_255]) ).
cnf(i_0_625,plain,
( app(X1,X2) != X3
| ~ ssList(X2)
| ~ ssList(X3)
| rearsegP(X3,X2)
| ~ ssList(X1) ),
inference(rename_variables,[],[i_0_255]) ).
cnf(i_0_626,plain,
frontsegP(nil,esk50_0),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_378,i_0_379,i_0_377,i_0_473,i_0_573,i_0_381,i_0_477,i_0_575,i_0_349,i_0_350,i_0_351,i_0_391,i_0_421,i_0_392,i_0_301,i_0_280,i_0_255,i_0_256]) ).
cnf(i_0_627,plain,
( app(X1,X2) != X3
| ~ ssList(X1)
| ~ ssList(X3)
| frontsegP(X3,X1)
| ~ ssList(X2) ),
inference(rename_variables,[],[i_0_256]) ).
cnf(i_0_628,plain,
frontsegP(cons(esk2_0,esk51_0),cons(esk2_0,esk51_0)),
inference(scs_inference,[],[i_0_366,i_0_376,i_0_378,i_0_379,i_0_377,i_0_382,i_0_473,i_0_573,i_0_381,i_0_477,i_0_575,i_0_349,i_0_350,i_0_351,i_0_391,i_0_421,i_0_392,i_0_301,i_0_280,i_0_255,i_0_256,i_0_439]) ).
cnf(i_0_629,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X3)
| frontsegP(cons(X3,X2),cons(X3,X1))
| ~ frontsegP(X2,X1) ),
inference(rename_variables,[],[i_0_439]) ).
cnf(i_0_630,plain,
nil = esk52_0,
inference(scs_inference,[],[i_0_366,i_0_376,i_0_378,i_0_379,i_0_377,i_0_382,i_0_473,i_0_573,i_0_381,i_0_477,i_0_575,i_0_349,i_0_350,i_0_351,i_0_391,i_0_421,i_0_392,i_0_301,i_0_280,i_0_255,i_0_256,i_0_439,i_0_305]) ).
cnf(i_0_631,plain,
( ~ rearsegP(nil,X1)
| nil = X1
| ~ ssList(X1) ),
inference(rename_variables,[],[i_0_305]) ).
cnf(i_0_632,plain,
$false,
inference(scs_inference,[],[i_0_366,i_0_376,i_0_378,i_0_379,i_0_377,i_0_382,i_0_473,i_0_530,i_0_573,i_0_381,i_0_477,i_0_575,i_0_349,i_0_350,i_0_351,i_0_391,i_0_421,i_0_392,i_0_301,i_0_280,i_0_255,i_0_256,i_0_439,i_0_305,i_0_306]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC041+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12 % 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
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 5 04:19:10 EDT 2026
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % start to proof: theBenchmark
% 0.55/1.61 % Version : CSE_E---1.7
% 0.55/1.61 % Problem : theBenchmark.p
% 0.55/1.61 % SZS status Theorem for theBenchmark.p
% 0.55/1.61 % SZS output start CNFRefutation
% See solution above
% 1.16/2.29 % Total time : 1.273s
%------------------------------------------------------------------------------