%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC413+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 : n008.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 05:19:34 PM UTC 2026
% Result : Theorem 113.81s 90.36s
% Output : CNFRefutation 122.31s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_494)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ( ( ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(app(cons(X5,nil),cons(X6,nil)),X7) = X2
& app(app(cons(X6,nil),cons(X5,nil)),X7) = X1 ) ) )
| ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> app(app(cons(X8,nil),cons(X9,nil)),X10) != X2 ) ) )
| ! [X11] :
( ssItem(X11)
=> ! [X12] :
( ssItem(X12)
=> ! [X13] :
( ssList(X13)
=> ( app(app(cons(X11,nil),cons(X12,nil)),X13) != X4
| app(app(cons(X12,nil),cons(X11,nil)),X13) != X3 ) ) ) ) )
& ( ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssItem(X15)
& ? [X16] :
( ssList(X16)
& app(app(cons(X14,nil),cons(X15,nil)),X16) = X4 ) ) )
| ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> app(app(cons(X8,nil),cons(X9,nil)),X10) != X2 ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(ax94,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( gt(X1,X2)
=> ~ gt(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax94) ).
fof(ax33,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( lt(X1,X2)
=> ~ lt(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax33) ).
fof(ax90,axiom,
! [X1] :
( ssItem(X1)
=> ~ lt(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax90) ).
fof(ax38,axiom,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).
fof(ax8,axiom,
! [X1] :
( ssList(X1)
=> ( cyclefreeP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> ~ ( leq(X2,X3)
& leq(X3,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax8) ).
fof(ax10,axiom,
! [X1] :
( ssList(X1)
=> ( strictorderP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> ( lt(X2,X3)
| lt(X3,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax10) ).
fof(ax9,axiom,
! [X1] :
( ssList(X1)
=> ( totalorderP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> ( leq(X2,X3)
| leq(X3,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax9) ).
fof(ax12,axiom,
! [X1] :
( ssList(X1)
=> ( strictorderedP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> lt(X2,X3) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax12) ).
fof(ax11,axiom,
! [X1] :
( ssList(X1)
=> ( totalorderedP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> leq(X2,X3) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax11) ).
fof(ax13,axiom,
! [X1] :
( ssList(X1)
=> ( duplicatefreeP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> X2 != X3 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax13) ).
fof(ax14,axiom,
! [X1] :
( ssList(X1)
=> ( equalelemsP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(X4,cons(X2,cons(X3,X5))) = X1
=> X2 = X3 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax14) ).
fof(ax7,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( segmentP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(app(X3,X2),X4) = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).
fof(ax3,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ( memberP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(X3,cons(X2,X4)) = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax3) ).
fof(ax44,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( frontsegP(cons(X1,X3),cons(X2,X4))
<=> ( X1 = X2
& frontsegP(X3,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax44) ).
fof(ax56,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( segmentP(X1,X2)
=> segmentP(app(app(X3,X1),X4),X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax56) ).
fof(ax36,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( memberP(app(X2,X3),X1)
<=> ( memberP(X2,X1)
| memberP(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax36) ).
fof(ax37,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ( memberP(cons(X2,X3),X1)
<=> ( X1 = X2
| memberP(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax37) ).
fof(ax82,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax82) ).
fof(ax27,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssItem(X3)
=> cons(X3,app(X2,X1)) = app(cons(X3,X2),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax27) ).
fof(ax70,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( strictorderedP(cons(X1,X2))
<=> ( nil = X2
| ( nil != X2
& strictorderedP(X2)
& lt(X1,hd(X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax70) ).
fof(ax67,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( totalorderedP(cons(X1,X2))
<=> ( nil = X2
| ( nil != X2
& totalorderedP(X2)
& leq(X1,hd(X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax67) ).
fof(ax50,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( rearsegP(X1,X2)
=> rearsegP(app(X3,X1),X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax50) ).
fof(ax43,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( frontsegP(X1,X2)
=> frontsegP(app(X1,X3),X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax43) ).
fof(ax95,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( ( gt(X1,X2)
& gt(X2,X3) )
=> gt(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax95) ).
fof(ax88,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( ( geq(X1,X2)
& geq(X2,X3) )
=> geq(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax88) ).
fof(ax34,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( ( lt(X1,X2)
& lt(X2,X3) )
=> lt(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax34) ).
fof(ax91,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( ( leq(X1,X2)
& lt(X2,X3) )
=> lt(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax91) ).
fof(ax30,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( ( leq(X1,X2)
& leq(X2,X3) )
=> leq(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax30) ).
fof(ax53,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( segmentP(X1,X2)
& segmentP(X2,X3) )
=> segmentP(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax53) ).
fof(ax47,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( rearsegP(X1,X2)
& rearsegP(X2,X3) )
=> rearsegP(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax47) ).
fof(ax40,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( frontsegP(X1,X2)
& frontsegP(X2,X3) )
=> frontsegP(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax40) ).
fof(ax6,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( rearsegP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& app(X3,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax6) ).
fof(ax5,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& app(X2,X3) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax5) ).
fof(ax19,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssItem(X4)
=> ( cons(X3,X1) = cons(X4,X2)
=> ( X3 = X4
& X2 = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax19) ).
fof(ax79,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( app(X3,X2) = app(X1,X2)
=> X3 = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax79) ).
fof(ax80,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( app(X2,X3) = app(X2,X1)
=> X3 = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax80) ).
fof(ax86,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil != X1
=> tl(app(X1,X2)) = app(tl(X1),X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax86) ).
fof(ax81,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,X1) = app(cons(X2,nil),X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(ax54,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X1,X2)
& segmentP(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax54) ).
fof(ax48,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( rearsegP(X1,X2)
& rearsegP(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax48) ).
fof(ax41,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( frontsegP(X1,X2)
& frontsegP(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax41) ).
fof(ax87,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( geq(X1,X2)
& geq(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax87) ).
fof(ax29,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( leq(X1,X2)
& leq(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax29) ).
fof(ax93,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( lt(X1,X2)
<=> ( X1 != X2
& leq(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax93) ).
fof(ax92,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( leq(X1,X2)
=> ( X1 = X2
| lt(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax92) ).
fof(ax35,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( gt(X1,X2)
<=> lt(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax35) ).
fof(ax32,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( geq(X1,X2)
<=> leq(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax32) ).
fof(ax85,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil != X1
=> hd(app(X1,X2)) = hd(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax85) ).
fof(ax77,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( nil != X2
& nil != X1
& hd(X2) = hd(X1)
& tl(X2) = tl(X1) )
=> X2 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax77) ).
fof(ax25,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> tl(cons(X2,X1)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax25) ).
fof(ax23,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> hd(cons(X2,X1)) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax23) ).
fof(ax26,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(ax16,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ssList(cons(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(ax15,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(ax1,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax1) ).
fof(ax4,axiom,
! [X1] :
( ssList(X1)
=> ( singletonP(X1)
<=> ? [X2] :
( ssItem(X2)
& cons(X2,nil) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax4) ).
fof(ax83,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil = app(X1,X2)
<=> ( nil = X2
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).
fof(ax18,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,X1) != X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax18) ).
fof(ax21,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> nil != cons(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax21) ).
fof(ax20,axiom,
! [X1] :
( ssList(X1)
=> ( nil = X1
| ? [X2] :
( ssList(X2)
& ? [X3] :
( ssItem(X3)
& cons(X3,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax20) ).
fof(ax78,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> cons(hd(X1),tl(X1)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax78) ).
fof(ax73,axiom,
! [X1] :
( ssItem(X1)
=> equalelemsP(cons(X1,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax73) ).
fof(ax71,axiom,
! [X1] :
( ssItem(X1)
=> duplicatefreeP(cons(X1,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax71) ).
fof(ax68,axiom,
! [X1] :
( ssItem(X1)
=> strictorderedP(cons(X1,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax68) ).
fof(ax65,axiom,
! [X1] :
( ssItem(X1)
=> totalorderedP(cons(X1,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax65) ).
fof(ax63,axiom,
! [X1] :
( ssItem(X1)
=> strictorderP(cons(X1,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax63) ).
fof(ax61,axiom,
! [X1] :
( ssItem(X1)
=> totalorderP(cons(X1,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax61) ).
fof(ax59,axiom,
! [X1] :
( ssItem(X1)
=> cyclefreeP(cons(X1,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax59) ).
fof(ax58,axiom,
! [X1] :
( ssList(X1)
=> ( segmentP(nil,X1)
<=> nil = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax58) ).
fof(ax52,axiom,
! [X1] :
( ssList(X1)
=> ( rearsegP(nil,X1)
<=> nil = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax52) ).
fof(ax46,axiom,
! [X1] :
( ssList(X1)
=> ( frontsegP(nil,X1)
<=> nil = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax46) ).
fof(ax89,axiom,
! [X1] :
( ssItem(X1)
=> geq(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax89) ).
fof(ax31,axiom,
! [X1] :
( ssItem(X1)
=> leq(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax31) ).
fof(ax55,axiom,
! [X1] :
( ssList(X1)
=> segmentP(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax55) ).
fof(ax49,axiom,
! [X1] :
( ssList(X1)
=> rearsegP(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax49) ).
fof(ax42,axiom,
! [X1] :
( ssList(X1)
=> frontsegP(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax42) ).
fof(ax28,axiom,
! [X1] :
( ssList(X1)
=> app(nil,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(ax84,axiom,
! [X1] :
( ssList(X1)
=> app(X1,nil) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(ax57,axiom,
! [X1] :
( ssList(X1)
=> segmentP(X1,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax57) ).
fof(ax51,axiom,
! [X1] :
( ssList(X1)
=> rearsegP(X1,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax51) ).
fof(ax45,axiom,
! [X1] :
( ssList(X1)
=> frontsegP(X1,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax45) ).
fof(ax76,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ? [X2] :
( ssList(X2)
& tl(X1) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax76) ).
fof(ax24,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssList(tl(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(ax75,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ? [X2] :
( ssItem(X2)
& hd(X1) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax75) ).
fof(ax22,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssItem(hd(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax22) ).
fof(ax39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax39) ).
fof(ax2,axiom,
? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& X1 != X2 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax2) ).
fof(ax74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax74) ).
fof(ax72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax72) ).
fof(ax69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax69) ).
fof(ax66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax66) ).
fof(ax64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax64) ).
fof(ax62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax62) ).
fof(ax60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax60) ).
fof(ax17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(i_0_96,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ( ( ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(app(cons(X5,nil),cons(X6,nil)),X7) = X2
& app(app(cons(X6,nil),cons(X5,nil)),X7) = X1 ) ) )
| ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> app(app(cons(X8,nil),cons(X9,nil)),X10) != X2 ) ) )
| ! [X11] :
( ssItem(X11)
=> ! [X12] :
( ssItem(X12)
=> ! [X13] :
( ssList(X13)
=> ( app(app(cons(X11,nil),cons(X12,nil)),X13) != X4
| app(app(cons(X12,nil),cons(X11,nil)),X13) != X3 ) ) ) ) )
& ( ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssItem(X15)
& ? [X16] :
( ssList(X16)
& app(app(cons(X14,nil),cons(X15,nil)),X16) = X4 ) ) )
| ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> app(app(cons(X8,nil),cons(X9,nil)),X10) != X2 ) ) ) ) ) ) ) ) ) ),
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,negated_conjecture,
! [X487,X488,X489,X496,X497,X498] :
( ssList(esk48_0)
& ssList(esk49_0)
& ssList(esk50_0)
& ssList(esk51_0)
& esk49_0 = esk51_0
& esk48_0 = esk50_0
& ( ~ ssItem(X496)
| ~ ssItem(X497)
| ~ ssList(X498)
| app(app(cons(X496,nil),cons(X497,nil)),X498) != esk51_0
| ~ ssItem(X487)
| ~ ssItem(X488)
| ~ ssList(X489)
| app(app(cons(X487,nil),cons(X488,nil)),X489) != esk49_0
| app(app(cons(X488,nil),cons(X487,nil)),X489) != esk48_0 )
& ( ssItem(esk58_0)
| ~ ssItem(X487)
| ~ ssItem(X488)
| ~ ssList(X489)
| app(app(cons(X487,nil),cons(X488,nil)),X489) != esk49_0
| app(app(cons(X488,nil),cons(X487,nil)),X489) != esk48_0 )
& ( ssItem(esk59_0)
| ~ ssItem(X487)
| ~ ssItem(X488)
| ~ ssList(X489)
| app(app(cons(X487,nil),cons(X488,nil)),X489) != esk49_0
| app(app(cons(X488,nil),cons(X487,nil)),X489) != esk48_0 )
& ( ssList(esk60_0)
| ~ ssItem(X487)
| ~ ssItem(X488)
| ~ ssList(X489)
| app(app(cons(X487,nil),cons(X488,nil)),X489) != esk49_0
| app(app(cons(X488,nil),cons(X487,nil)),X489) != esk48_0 )
& ( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| ~ ssItem(X487)
| ~ ssItem(X488)
| ~ ssList(X489)
| app(app(cons(X487,nil),cons(X488,nil)),X489) != esk49_0
| app(app(cons(X488,nil),cons(X487,nil)),X489) != esk48_0 )
& ( ~ ssItem(X496)
| ~ ssItem(X497)
| ~ ssList(X498)
| app(app(cons(X496,nil),cons(X497,nil)),X498) != esk51_0
| ssItem(esk52_0) )
& ( ssItem(esk58_0)
| ssItem(esk52_0) )
& ( ssItem(esk59_0)
| ssItem(esk52_0) )
& ( ssList(esk60_0)
| ssItem(esk52_0) )
& ( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| ssItem(esk52_0) )
& ( ~ ssItem(X496)
| ~ ssItem(X497)
| ~ ssList(X498)
| app(app(cons(X496,nil),cons(X497,nil)),X498) != esk51_0
| ssItem(esk53_0) )
& ( ssItem(esk58_0)
| ssItem(esk53_0) )
& ( ssItem(esk59_0)
| ssItem(esk53_0) )
& ( ssList(esk60_0)
| ssItem(esk53_0) )
& ( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| ssItem(esk53_0) )
& ( ~ ssItem(X496)
| ~ ssItem(X497)
| ~ ssList(X498)
| app(app(cons(X496,nil),cons(X497,nil)),X498) != esk51_0
| ssList(esk54_0) )
& ( ssItem(esk58_0)
| ssList(esk54_0) )
& ( ssItem(esk59_0)
| ssList(esk54_0) )
& ( ssList(esk60_0)
| ssList(esk54_0) )
& ( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| ssList(esk54_0) )
& ( ~ ssItem(X496)
| ~ ssItem(X497)
| ~ ssList(X498)
| app(app(cons(X496,nil),cons(X497,nil)),X498) != esk51_0
| app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0 )
& ( ssItem(esk58_0)
| app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0 )
& ( ssItem(esk59_0)
| app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0 )
& ( ssList(esk60_0)
| app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0 )
& ( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0 )
& ( ~ ssItem(X496)
| ~ ssItem(X497)
| ~ ssList(X498)
| app(app(cons(X496,nil),cons(X497,nil)),X498) != esk51_0
| ssItem(esk55_0) )
& ( ssItem(esk58_0)
| ssItem(esk55_0) )
& ( ssItem(esk59_0)
| ssItem(esk55_0) )
& ( ssList(esk60_0)
| ssItem(esk55_0) )
& ( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| ssItem(esk55_0) )
& ( ~ ssItem(X496)
| ~ ssItem(X497)
| ~ ssList(X498)
| app(app(cons(X496,nil),cons(X497,nil)),X498) != esk51_0
| ssItem(esk56_0) )
& ( ssItem(esk58_0)
| ssItem(esk56_0) )
& ( ssItem(esk59_0)
| ssItem(esk56_0) )
& ( ssList(esk60_0)
| ssItem(esk56_0) )
& ( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| ssItem(esk56_0) )
& ( ~ ssItem(X496)
| ~ ssItem(X497)
| ~ ssList(X498)
| app(app(cons(X496,nil),cons(X497,nil)),X498) != esk51_0
| ssList(esk57_0) )
& ( ssItem(esk58_0)
| ssList(esk57_0) )
& ( ssItem(esk59_0)
| ssList(esk57_0) )
& ( ssList(esk60_0)
| ssList(esk57_0) )
& ( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| ssList(esk57_0) )
& ( ~ ssItem(X496)
| ~ ssItem(X497)
| ~ ssList(X498)
| app(app(cons(X496,nil),cons(X497,nil)),X498) != esk51_0
| app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0 )
& ( ssItem(esk58_0)
| app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0 )
& ( ssItem(esk59_0)
| app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0 )
& ( ssList(esk60_0)
| app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0 )
& ( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0 )
& ( ~ ssItem(X496)
| ~ ssItem(X497)
| ~ ssList(X498)
| app(app(cons(X496,nil),cons(X497,nil)),X498) != esk51_0
| app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0 )
& ( ssItem(esk58_0)
| app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0 )
& ( ssItem(esk59_0)
| app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0 )
& ( ssList(esk60_0)
| app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0 )
& ( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0 ) ),
inference(distribute,[status(thm)],[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_102,plain,
! [X266,X267,X268,X269,X270,X271] :
( ( ~ cyclefreeP(X266)
| ~ ssItem(X267)
| ~ ssItem(X268)
| ~ ssList(X269)
| ~ ssList(X270)
| ~ ssList(X271)
| app(app(X269,cons(X267,X270)),cons(X268,X271)) != X266
| ~ leq(X267,X268)
| ~ leq(X268,X267)
| ~ ssList(X266) )
& ( ssItem(esk10_1(X266))
| cyclefreeP(X266)
| ~ ssList(X266) )
& ( ssItem(esk11_1(X266))
| cyclefreeP(X266)
| ~ ssList(X266) )
& ( ssList(esk12_1(X266))
| cyclefreeP(X266)
| ~ ssList(X266) )
& ( ssList(esk13_1(X266))
| cyclefreeP(X266)
| ~ ssList(X266) )
& ( ssList(esk14_1(X266))
| cyclefreeP(X266)
| ~ ssList(X266) )
& ( app(app(esk12_1(X266),cons(esk10_1(X266),esk13_1(X266))),cons(esk11_1(X266),esk14_1(X266))) = X266
| cyclefreeP(X266)
| ~ ssList(X266) )
& ( leq(esk10_1(X266),esk11_1(X266))
| cyclefreeP(X266)
| ~ ssList(X266) )
& ( leq(esk11_1(X266),esk10_1(X266))
| cyclefreeP(X266)
| ~ ssList(X266) ) ),
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_103,plain,
! [X288,X289,X290,X291,X292,X293] :
( ( ~ strictorderP(X288)
| ~ ssItem(X289)
| ~ ssItem(X290)
| ~ ssList(X291)
| ~ ssList(X292)
| ~ ssList(X293)
| app(app(X291,cons(X289,X292)),cons(X290,X293)) != X288
| lt(X289,X290)
| lt(X290,X289)
| ~ ssList(X288) )
& ( ssItem(esk20_1(X288))
| strictorderP(X288)
| ~ ssList(X288) )
& ( ssItem(esk21_1(X288))
| strictorderP(X288)
| ~ ssList(X288) )
& ( ssList(esk22_1(X288))
| strictorderP(X288)
| ~ ssList(X288) )
& ( ssList(esk23_1(X288))
| strictorderP(X288)
| ~ ssList(X288) )
& ( ssList(esk24_1(X288))
| strictorderP(X288)
| ~ ssList(X288) )
& ( app(app(esk22_1(X288),cons(esk20_1(X288),esk23_1(X288))),cons(esk21_1(X288),esk24_1(X288))) = X288
| strictorderP(X288)
| ~ ssList(X288) )
& ( ~ lt(esk20_1(X288),esk21_1(X288))
| strictorderP(X288)
| ~ ssList(X288) )
& ( ~ lt(esk21_1(X288),esk20_1(X288))
| strictorderP(X288)
| ~ ssList(X288) ) ),
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_104,plain,
! [X277,X278,X279,X280,X281,X282] :
( ( ~ totalorderP(X277)
| ~ ssItem(X278)
| ~ ssItem(X279)
| ~ ssList(X280)
| ~ ssList(X281)
| ~ ssList(X282)
| app(app(X280,cons(X278,X281)),cons(X279,X282)) != X277
| leq(X278,X279)
| leq(X279,X278)
| ~ ssList(X277) )
& ( ssItem(esk15_1(X277))
| totalorderP(X277)
| ~ ssList(X277) )
& ( ssItem(esk16_1(X277))
| totalorderP(X277)
| ~ ssList(X277) )
& ( ssList(esk17_1(X277))
| totalorderP(X277)
| ~ ssList(X277) )
& ( ssList(esk18_1(X277))
| totalorderP(X277)
| ~ ssList(X277) )
& ( ssList(esk19_1(X277))
| totalorderP(X277)
| ~ ssList(X277) )
& ( app(app(esk17_1(X277),cons(esk15_1(X277),esk18_1(X277))),cons(esk16_1(X277),esk19_1(X277))) = X277
| totalorderP(X277)
| ~ ssList(X277) )
& ( ~ leq(esk15_1(X277),esk16_1(X277))
| totalorderP(X277)
| ~ ssList(X277) )
& ( ~ leq(esk16_1(X277),esk15_1(X277))
| totalorderP(X277)
| ~ ssList(X277) ) ),
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_105,plain,
! [X310,X311,X312,X313,X314,X315] :
( ( ~ strictorderedP(X310)
| ~ ssItem(X311)
| ~ ssItem(X312)
| ~ ssList(X313)
| ~ ssList(X314)
| ~ ssList(X315)
| app(app(X313,cons(X311,X314)),cons(X312,X315)) != X310
| lt(X311,X312)
| ~ ssList(X310) )
& ( ssItem(esk30_1(X310))
| strictorderedP(X310)
| ~ ssList(X310) )
& ( ssItem(esk31_1(X310))
| strictorderedP(X310)
| ~ ssList(X310) )
& ( ssList(esk32_1(X310))
| strictorderedP(X310)
| ~ ssList(X310) )
& ( ssList(esk33_1(X310))
| strictorderedP(X310)
| ~ ssList(X310) )
& ( ssList(esk34_1(X310))
| strictorderedP(X310)
| ~ ssList(X310) )
& ( app(app(esk32_1(X310),cons(esk30_1(X310),esk33_1(X310))),cons(esk31_1(X310),esk34_1(X310))) = X310
| strictorderedP(X310)
| ~ ssList(X310) )
& ( ~ lt(esk30_1(X310),esk31_1(X310))
| strictorderedP(X310)
| ~ ssList(X310) ) ),
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_106,plain,
! [X299,X300,X301,X302,X303,X304] :
( ( ~ totalorderedP(X299)
| ~ ssItem(X300)
| ~ ssItem(X301)
| ~ ssList(X302)
| ~ ssList(X303)
| ~ ssList(X304)
| app(app(X302,cons(X300,X303)),cons(X301,X304)) != X299
| leq(X300,X301)
| ~ ssList(X299) )
& ( ssItem(esk25_1(X299))
| totalorderedP(X299)
| ~ ssList(X299) )
& ( ssItem(esk26_1(X299))
| totalorderedP(X299)
| ~ ssList(X299) )
& ( ssList(esk27_1(X299))
| totalorderedP(X299)
| ~ ssList(X299) )
& ( ssList(esk28_1(X299))
| totalorderedP(X299)
| ~ ssList(X299) )
& ( ssList(esk29_1(X299))
| totalorderedP(X299)
| ~ ssList(X299) )
& ( app(app(esk27_1(X299),cons(esk25_1(X299),esk28_1(X299))),cons(esk26_1(X299),esk29_1(X299))) = X299
| totalorderedP(X299)
| ~ ssList(X299) )
& ( ~ leq(esk25_1(X299),esk26_1(X299))
| totalorderedP(X299)
| ~ ssList(X299) ) ),
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_107,plain,
! [X321,X322,X323,X324,X325,X326] :
( ( ~ duplicatefreeP(X321)
| ~ ssItem(X322)
| ~ ssItem(X323)
| ~ ssList(X324)
| ~ ssList(X325)
| ~ ssList(X326)
| app(app(X324,cons(X322,X325)),cons(X323,X326)) != X321
| X322 != X323
| ~ ssList(X321) )
& ( ssItem(esk35_1(X321))
| duplicatefreeP(X321)
| ~ ssList(X321) )
& ( ssItem(esk36_1(X321))
| duplicatefreeP(X321)
| ~ ssList(X321) )
& ( ssList(esk37_1(X321))
| duplicatefreeP(X321)
| ~ ssList(X321) )
& ( ssList(esk38_1(X321))
| duplicatefreeP(X321)
| ~ ssList(X321) )
& ( ssList(esk39_1(X321))
| duplicatefreeP(X321)
| ~ ssList(X321) )
& ( app(app(esk37_1(X321),cons(esk35_1(X321),esk38_1(X321))),cons(esk36_1(X321),esk39_1(X321))) = X321
| duplicatefreeP(X321)
| ~ ssList(X321) )
& ( esk35_1(X321) = esk36_1(X321)
| duplicatefreeP(X321)
| ~ ssList(X321) ) ),
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_108,plain,
! [X332,X333,X334,X335,X336] :
( ( ~ equalelemsP(X332)
| ~ ssItem(X333)
| ~ ssItem(X334)
| ~ ssList(X335)
| ~ ssList(X336)
| app(X335,cons(X333,cons(X334,X336))) != X332
| X333 = X334
| ~ ssList(X332) )
& ( ssItem(esk40_1(X332))
| equalelemsP(X332)
| ~ ssList(X332) )
& ( ssItem(esk41_1(X332))
| equalelemsP(X332)
| ~ ssList(X332) )
& ( ssList(esk42_1(X332))
| equalelemsP(X332)
| ~ ssList(X332) )
& ( ssList(esk43_1(X332))
| equalelemsP(X332)
| ~ ssList(X332) )
& ( app(esk42_1(X332),cons(esk40_1(X332),cons(esk41_1(X332),esk43_1(X332)))) = X332
| equalelemsP(X332)
| ~ ssList(X332) )
& ( esk40_1(X332) != esk41_1(X332)
| equalelemsP(X332)
| ~ ssList(X332) ) ),
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_109,plain,
! [X260,X261,X264,X265] :
( ( ssList(esk8_2(X260,X261))
| ~ segmentP(X260,X261)
| ~ ssList(X261)
| ~ ssList(X260) )
& ( ssList(esk9_2(X260,X261))
| ~ segmentP(X260,X261)
| ~ ssList(X261)
| ~ ssList(X260) )
& ( app(app(esk8_2(X260,X261),X261),esk9_2(X260,X261)) = X260
| ~ segmentP(X260,X261)
| ~ ssList(X261)
| ~ ssList(X260) )
& ( ~ ssList(X264)
| ~ ssList(X265)
| app(app(X264,X261),X265) != X260
| segmentP(X260,X261)
| ~ ssList(X261)
| ~ ssList(X260) ) ),
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_110,plain,
! [X243,X244,X247,X248] :
( ( ssList(esk3_2(X243,X244))
| ~ memberP(X243,X244)
| ~ ssItem(X244)
| ~ ssList(X243) )
& ( ssList(esk4_2(X243,X244))
| ~ memberP(X243,X244)
| ~ ssItem(X244)
| ~ ssList(X243) )
& ( app(esk3_2(X243,X244),cons(X244,esk4_2(X243,X244))) = X243
| ~ memberP(X243,X244)
| ~ ssItem(X244)
| ~ ssList(X243) )
& ( ~ ssList(X247)
| ~ ssList(X248)
| app(X247,cons(X244,X248)) != X243
| memberP(X243,X244)
| ~ ssItem(X244)
| ~ ssList(X243) ) ),
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_111,plain,
! [X399,X400,X401,X402] :
( ( X399 = X400
| ~ frontsegP(cons(X399,X401),cons(X400,X402))
| ~ ssList(X402)
| ~ ssList(X401)
| ~ ssItem(X400)
| ~ ssItem(X399) )
& ( frontsegP(X401,X402)
| ~ frontsegP(cons(X399,X401),cons(X400,X402))
| ~ ssList(X402)
| ~ ssList(X401)
| ~ ssItem(X400)
| ~ ssItem(X399) )
& ( X399 != X400
| ~ frontsegP(X401,X402)
| frontsegP(cons(X399,X401),cons(X400,X402))
| ~ ssList(X402)
| ~ ssList(X401)
| ~ ssItem(X400)
| ~ ssItem(X399) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax44])])])]) ).
fof(i_0_112,plain,
! [X422,X423,X424,X425] :
( ~ ssList(X422)
| ~ ssList(X423)
| ~ ssList(X424)
| ~ ssList(X425)
| ~ segmentP(X422,X423)
| segmentP(app(app(X424,X422),X425),X423) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax56])])]) ).
fof(i_0_113,plain,
! [X383,X384,X385] :
( ( ~ memberP(app(X384,X385),X383)
| memberP(X384,X383)
| memberP(X385,X383)
| ~ ssList(X385)
| ~ ssList(X384)
| ~ ssItem(X383) )
& ( ~ memberP(X384,X383)
| memberP(app(X384,X385),X383)
| ~ ssList(X385)
| ~ ssList(X384)
| ~ ssItem(X383) )
& ( ~ memberP(X385,X383)
| memberP(app(X384,X385),X383)
| ~ ssList(X385)
| ~ ssList(X384)
| ~ ssItem(X383) ) ),
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,
! [X386,X387,X388] :
( ( ~ memberP(cons(X387,X388),X386)
| X386 = X387
| memberP(X388,X386)
| ~ ssList(X388)
| ~ ssItem(X387)
| ~ ssItem(X386) )
& ( X386 != X387
| memberP(cons(X387,X388),X386)
| ~ ssList(X388)
| ~ ssItem(X387)
| ~ ssItem(X386) )
& ( ~ memberP(X388,X386)
| memberP(cons(X387,X388),X386)
| ~ ssList(X388)
| ~ ssItem(X387)
| ~ ssItem(X386) ) ),
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,
! [X454,X455,X456] :
( ~ ssList(X454)
| ~ ssList(X455)
| ~ ssList(X456)
| app(app(X454,X455),X456) = app(X454,app(X455,X456)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).
fof(i_0_116,plain,
! [X364,X365,X366] :
( ~ ssList(X364)
| ~ ssList(X365)
| ~ ssItem(X366)
| cons(X366,app(X365,X364)) = app(cons(X366,X365),X364) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])]) ).
fof(i_0_117,plain,
! [X435,X436] :
( ( nil != X436
| nil = X436
| ~ strictorderedP(cons(X435,X436))
| ~ ssList(X436)
| ~ ssItem(X435) )
& ( strictorderedP(X436)
| nil = X436
| ~ strictorderedP(cons(X435,X436))
| ~ ssList(X436)
| ~ ssItem(X435) )
& ( lt(X435,hd(X436))
| nil = X436
| ~ strictorderedP(cons(X435,X436))
| ~ ssList(X436)
| ~ ssItem(X435) )
& ( nil != X436
| strictorderedP(cons(X435,X436))
| ~ ssList(X436)
| ~ ssItem(X435) )
& ( nil = X436
| ~ strictorderedP(X436)
| ~ lt(X435,hd(X436))
| strictorderedP(cons(X435,X436))
| ~ ssList(X436)
| ~ ssItem(X435) ) ),
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,
! [X432,X433] :
( ( nil != X433
| nil = X433
| ~ totalorderedP(cons(X432,X433))
| ~ ssList(X433)
| ~ ssItem(X432) )
& ( totalorderedP(X433)
| nil = X433
| ~ totalorderedP(cons(X432,X433))
| ~ ssList(X433)
| ~ ssItem(X432) )
& ( leq(X432,hd(X433))
| nil = X433
| ~ totalorderedP(cons(X432,X433))
| ~ ssList(X433)
| ~ ssItem(X432) )
& ( nil != X433
| totalorderedP(cons(X432,X433))
| ~ ssList(X433)
| ~ ssItem(X432) )
& ( nil = X433
| ~ totalorderedP(X433)
| ~ leq(X432,hd(X433))
| totalorderedP(cons(X432,X433))
| ~ ssList(X433)
| ~ ssItem(X432) ) ),
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,
! [X411,X412,X413] :
( ~ ssList(X411)
| ~ ssList(X412)
| ~ ssList(X413)
| ~ rearsegP(X411,X412)
| rearsegP(app(X413,X411),X412) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax50])])]) ).
fof(i_0_120,plain,
! [X396,X397,X398] :
( ~ ssList(X396)
| ~ ssList(X397)
| ~ ssList(X398)
| ~ frontsegP(X396,X397)
| frontsegP(app(X396,X398),X397) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax43])])]) ).
fof(i_0_121,plain,
! [X480,X481,X482] :
( ~ ssItem(X480)
| ~ ssItem(X481)
| ~ ssItem(X482)
| ~ gt(X480,X481)
| ~ gt(X481,X482)
| gt(X480,X482) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax95])])]) ).
fof(i_0_122,plain,
! [X466,X467,X468] :
( ~ ssItem(X466)
| ~ ssItem(X467)
| ~ ssItem(X468)
| ~ geq(X466,X467)
| ~ geq(X467,X468)
| geq(X466,X468) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax88])])]) ).
fof(i_0_123,plain,
! [X378,X379,X380] :
( ~ ssItem(X378)
| ~ ssItem(X379)
| ~ ssItem(X380)
| ~ lt(X378,X379)
| ~ lt(X379,X380)
| lt(X378,X380) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax34])])]) ).
fof(i_0_124,plain,
! [X471,X472,X473] :
( ~ ssItem(X471)
| ~ ssItem(X472)
| ~ ssItem(X473)
| ~ leq(X471,X472)
| ~ lt(X472,X473)
| lt(X471,X473) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax91])])]) ).
fof(i_0_125,plain,
! [X370,X371,X372] :
( ~ ssItem(X370)
| ~ ssItem(X371)
| ~ ssItem(X372)
| ~ leq(X370,X371)
| ~ leq(X371,X372)
| leq(X370,X372) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax30])])]) ).
fof(i_0_126,plain,
! [X416,X417,X418] :
( ~ ssList(X416)
| ~ ssList(X417)
| ~ ssList(X418)
| ~ segmentP(X416,X417)
| ~ segmentP(X417,X418)
| segmentP(X416,X418) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax53])])]) ).
fof(i_0_127,plain,
! [X405,X406,X407] :
( ~ ssList(X405)
| ~ ssList(X406)
| ~ ssList(X407)
| ~ rearsegP(X405,X406)
| ~ rearsegP(X406,X407)
| rearsegP(X405,X407) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax47])])]) ).
fof(i_0_128,plain,
! [X390,X391,X392] :
( ~ ssList(X390)
| ~ ssList(X391)
| ~ ssList(X392)
| ~ frontsegP(X390,X391)
| ~ frontsegP(X391,X392)
| frontsegP(X390,X392) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax40])])]) ).
fof(i_0_129,plain,
! [X256,X257,X259] :
( ( ssList(esk7_2(X256,X257))
| ~ rearsegP(X256,X257)
| ~ ssList(X257)
| ~ ssList(X256) )
& ( app(esk7_2(X256,X257),X257) = X256
| ~ rearsegP(X256,X257)
| ~ ssList(X257)
| ~ ssList(X256) )
& ( ~ ssList(X259)
| app(X259,X257) != X256
| rearsegP(X256,X257)
| ~ ssList(X257)
| ~ ssList(X256) ) ),
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,
! [X252,X253,X255] :
( ( ssList(esk6_2(X252,X253))
| ~ frontsegP(X252,X253)
| ~ ssList(X253)
| ~ ssList(X252) )
& ( app(X253,esk6_2(X252,X253)) = X252
| ~ frontsegP(X252,X253)
| ~ ssList(X253)
| ~ ssList(X252) )
& ( ~ ssList(X255)
| app(X253,X255) != X252
| frontsegP(X252,X253)
| ~ ssList(X253)
| ~ ssList(X252) ) ),
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,
! [X347,X348,X349,X350] :
( ( X349 = X350
| cons(X349,X347) != cons(X350,X348)
| ~ ssItem(X350)
| ~ ssItem(X349)
| ~ ssList(X348)
| ~ ssList(X347) )
& ( X348 = X347
| cons(X349,X347) != cons(X350,X348)
| ~ ssItem(X350)
| ~ ssItem(X349)
| ~ ssList(X348)
| ~ ssList(X347) ) ),
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,
! [X446,X447,X448] :
( ~ ssList(X446)
| ~ ssList(X447)
| ~ ssList(X448)
| app(X448,X447) != app(X446,X447)
| X448 = X446 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax79])])]) ).
fof(i_0_133,plain,
! [X449,X450,X451] :
( ~ ssList(X449)
| ~ ssList(X450)
| ~ ssList(X451)
| app(X450,X451) != app(X450,X449)
| X451 = X449 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax80])])]) ).
fof(i_0_134,plain,
! [X462,X463] :
( ~ ssList(X462)
| ~ ssList(X463)
| nil = X462
| tl(app(X462,X463)) = app(tl(X462),X463) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax86])])]) ).
fof(i_0_135,plain,
! [X452,X453] :
( ~ ssList(X452)
| ~ ssItem(X453)
| cons(X453,X452) = app(cons(X453,nil),X452) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])]) ).
fof(i_0_136,plain,
! [X419,X420] :
( ~ ssList(X419)
| ~ ssList(X420)
| ~ segmentP(X419,X420)
| ~ segmentP(X420,X419)
| X419 = X420 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax54])])]) ).
fof(i_0_137,plain,
! [X408,X409] :
( ~ ssList(X408)
| ~ ssList(X409)
| ~ rearsegP(X408,X409)
| ~ rearsegP(X409,X408)
| X408 = X409 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax48])])]) ).
fof(i_0_138,plain,
! [X393,X394] :
( ~ ssList(X393)
| ~ ssList(X394)
| ~ frontsegP(X393,X394)
| ~ frontsegP(X394,X393)
| X393 = X394 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax41])])]) ).
fof(i_0_139,plain,
! [X464,X465] :
( ~ ssItem(X464)
| ~ ssItem(X465)
| ~ geq(X464,X465)
| ~ geq(X465,X464)
| X464 = X465 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax87])])]) ).
fof(i_0_140,plain,
! [X368,X369] :
( ~ ssItem(X368)
| ~ ssItem(X369)
| ~ leq(X368,X369)
| ~ leq(X369,X368)
| X368 = X369 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax29])])]) ).
fof(i_0_141,plain,
! [X478,X479] :
( ~ ssItem(X478)
| ~ ssItem(X479)
| ~ gt(X478,X479)
| ~ gt(X479,X478) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_97])])]) ).
fof(i_0_142,plain,
! [X376,X377] :
( ~ ssItem(X376)
| ~ ssItem(X377)
| ~ lt(X376,X377)
| ~ lt(X377,X376) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_98])])]) ).
fof(i_0_143,plain,
! [X476,X477] :
( ( X476 != X477
| ~ lt(X476,X477)
| ~ ssItem(X477)
| ~ ssItem(X476) )
& ( leq(X476,X477)
| ~ lt(X476,X477)
| ~ ssItem(X477)
| ~ ssItem(X476) )
& ( X476 = X477
| ~ leq(X476,X477)
| lt(X476,X477)
| ~ ssItem(X477)
| ~ ssItem(X476) ) ),
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,
! [X474,X475] :
( ~ ssItem(X474)
| ~ ssItem(X475)
| ~ leq(X474,X475)
| X474 = X475
| lt(X474,X475) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax92])])]) ).
fof(i_0_145,plain,
! [X381,X382] :
( ( ~ gt(X381,X382)
| lt(X382,X381)
| ~ ssItem(X382)
| ~ ssItem(X381) )
& ( ~ lt(X382,X381)
| gt(X381,X382)
| ~ ssItem(X382)
| ~ ssItem(X381) ) ),
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,
! [X374,X375] :
( ( ~ geq(X374,X375)
| leq(X375,X374)
| ~ ssItem(X375)
| ~ ssItem(X374) )
& ( ~ leq(X375,X374)
| geq(X374,X375)
| ~ ssItem(X375)
| ~ ssItem(X374) ) ),
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,
! [X460,X461] :
( ~ ssList(X460)
| ~ ssList(X461)
| nil = X460
| hd(app(X460,X461)) = hd(X460) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax85])])]) ).
fof(i_0_148,plain,
! [X443,X444] :
( ~ ssList(X443)
| ~ ssList(X444)
| nil = X444
| nil = X443
| hd(X444) != hd(X443)
| tl(X444) != tl(X443)
| X444 = X443 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax77])])]) ).
fof(i_0_149,plain,
! [X360,X361] :
( ~ ssList(X360)
| ~ ssItem(X361)
| tl(cons(X361,X360)) = X360 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])])]) ).
fof(i_0_150,plain,
! [X357,X358] :
( ~ ssList(X357)
| ~ ssItem(X358)
| hd(cons(X358,X357)) = X358 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])]) ).
fof(i_0_151,plain,
! [X362,X363] :
( ~ ssList(X362)
| ~ ssList(X363)
| ssList(app(X362,X363)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).
fof(i_0_152,plain,
! [X343,X344] :
( ~ ssList(X343)
| ~ ssItem(X344)
| ssList(cons(X344,X343)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).
fof(i_0_153,plain,
! [X341,X342] :
( ( ~ neq(X341,X342)
| X341 != X342
| ~ ssList(X342)
| ~ ssList(X341) )
& ( X341 = X342
| neq(X341,X342)
| ~ ssList(X342)
| ~ ssList(X341) ) ),
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,
! [X239,X240] :
( ( ~ neq(X239,X240)
| X239 != X240
| ~ ssItem(X240)
| ~ ssItem(X239) )
& ( X239 = X240
| neq(X239,X240)
| ~ ssItem(X240)
| ~ ssItem(X239) ) ),
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,
! [X249,X251] :
( ( ssItem(esk5_1(X249))
| ~ singletonP(X249)
| ~ ssList(X249) )
& ( cons(esk5_1(X249),nil) = X249
| ~ singletonP(X249)
| ~ ssList(X249) )
& ( ~ ssItem(X251)
| cons(X251,nil) != X249
| singletonP(X249)
| ~ ssList(X249) ) ),
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,
! [X457,X458] :
( ( nil = X458
| nil != app(X457,X458)
| ~ ssList(X458)
| ~ ssList(X457) )
& ( nil = X457
| nil != app(X457,X458)
| ~ ssList(X458)
| ~ ssList(X457) )
& ( nil != X458
| nil != X457
| nil = app(X457,X458)
| ~ ssList(X458)
| ~ ssList(X457) ) ),
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,
! [X345,X346] :
( ~ ssList(X345)
| ~ ssItem(X346)
| cons(X346,X345) != X345 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax18])])]) ).
fof(i_0_158,plain,
! [X354,X355] :
( ~ ssList(X354)
| ~ ssItem(X355)
| nil != cons(X355,X354) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])]) ).
fof(i_0_159,plain,
! [X351] :
( ( ssList(esk44_1(X351))
| nil = X351
| ~ ssList(X351) )
& ( ssItem(esk45_1(X351))
| nil = X351
| ~ ssList(X351) )
& ( cons(esk45_1(X351),esk44_1(X351)) = X351
| nil = X351
| ~ ssList(X351) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax20])])])]) ).
fof(i_0_160,plain,
! [X445] :
( ~ ssList(X445)
| nil = X445
| cons(hd(X445),tl(X445)) = X445 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax78])]) ).
fof(i_0_161,plain,
! [X438] :
( ~ ssItem(X438)
| equalelemsP(cons(X438,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax73])]) ).
fof(i_0_162,plain,
! [X437] :
( ~ ssItem(X437)
| duplicatefreeP(cons(X437,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax71])]) ).
fof(i_0_163,plain,
! [X434] :
( ~ ssItem(X434)
| strictorderedP(cons(X434,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax68])]) ).
fof(i_0_164,plain,
! [X431] :
( ~ ssItem(X431)
| totalorderedP(cons(X431,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax65])]) ).
fof(i_0_165,plain,
! [X430] :
( ~ ssItem(X430)
| strictorderP(cons(X430,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax63])]) ).
fof(i_0_166,plain,
! [X429] :
( ~ ssItem(X429)
| totalorderP(cons(X429,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax61])]) ).
fof(i_0_167,plain,
! [X428] :
( ~ ssItem(X428)
| cyclefreeP(cons(X428,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax59])]) ).
fof(i_0_168,plain,
! [X470] :
( ~ ssItem(X470)
| ~ lt(X470,X470) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_99])]) ).
fof(i_0_169,plain,
! [X427] :
( ( ~ segmentP(nil,X427)
| nil = X427
| ~ ssList(X427) )
& ( nil != X427
| segmentP(nil,X427)
| ~ ssList(X427) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax58])])]) ).
fof(i_0_170,plain,
! [X415] :
( ( ~ rearsegP(nil,X415)
| nil = X415
| ~ ssList(X415) )
& ( nil != X415
| rearsegP(nil,X415)
| ~ ssList(X415) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax52])])]) ).
fof(i_0_171,plain,
! [X404] :
( ( ~ frontsegP(nil,X404)
| nil = X404
| ~ ssList(X404) )
& ( nil != X404
| frontsegP(nil,X404)
| ~ ssList(X404) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax46])])]) ).
fof(i_0_172,plain,
! [X389] :
( ~ ssItem(X389)
| ~ memberP(nil,X389) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_100])]) ).
fof(i_0_173,plain,
! [X469] :
( ~ ssItem(X469)
| geq(X469,X469) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax89])]) ).
fof(i_0_174,plain,
! [X373] :
( ~ ssItem(X373)
| leq(X373,X373) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax31])]) ).
fof(i_0_175,plain,
! [X421] :
( ~ ssList(X421)
| segmentP(X421,X421) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax55])]) ).
fof(i_0_176,plain,
! [X410] :
( ~ ssList(X410)
| rearsegP(X410,X410) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax49])]) ).
fof(i_0_177,plain,
! [X395] :
( ~ ssList(X395)
| frontsegP(X395,X395) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax42])]) ).
fof(i_0_178,plain,
! [X367] :
( ~ ssList(X367)
| app(nil,X367) = X367 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).
fof(i_0_179,plain,
! [X459] :
( ~ ssList(X459)
| app(X459,nil) = X459 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).
fof(i_0_180,plain,
! [X426] :
( ~ ssList(X426)
| segmentP(X426,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])]) ).
fof(i_0_181,plain,
! [X414] :
( ~ ssList(X414)
| rearsegP(X414,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax51])]) ).
fof(i_0_182,plain,
! [X403] :
( ~ ssList(X403)
| frontsegP(X403,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax45])]) ).
fof(i_0_183,plain,
! [X441] :
( ( ssList(esk47_1(X441))
| nil = X441
| ~ ssList(X441) )
& ( tl(X441) = esk47_1(X441)
| nil = X441
| ~ ssList(X441) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax76])])])]) ).
fof(i_0_184,plain,
! [X359] :
( ~ ssList(X359)
| nil = X359
| ssList(tl(X359)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax24])]) ).
fof(i_0_185,plain,
! [X439] :
( ( ssItem(esk46_1(X439))
| nil = X439
| ~ ssList(X439) )
& ( hd(X439) = esk46_1(X439)
| nil = X439
| ~ ssList(X439) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax75])])])]) ).
fof(i_0_186,plain,
! [X356] :
( ~ ssList(X356)
| nil = X356
| ssItem(hd(X356)) ),
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,negated_conjecture,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssItem(X4)
| ~ ssItem(X5)
| ~ ssList(X6)
| app(app(cons(X4,nil),cons(X5,nil)),X6) != esk49_0
| app(app(cons(X5,nil),cons(X4,nil)),X6) != esk48_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_190,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk48_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_191,negated_conjecture,
( ssList(esk60_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk48_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_192,negated_conjecture,
( ssItem(esk59_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk48_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_193,negated_conjecture,
( ssItem(esk58_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk48_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_194,negated_conjecture,
( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_195,negated_conjecture,
( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_196,negated_conjecture,
( app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_197,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_102]),
[final] ).
cnf(i_0_198,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_103]),
[final] ).
cnf(i_0_199,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_104]),
[final] ).
cnf(i_0_200,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_105]),
[final] ).
cnf(i_0_201,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_106]),
[final] ).
cnf(i_0_202,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_107]),
[final] ).
cnf(i_0_203,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_204,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_205,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_206,negated_conjecture,
( ssList(esk57_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_207,negated_conjecture,
( ssList(esk54_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_208,negated_conjecture,
( ssItem(esk56_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_209,negated_conjecture,
( ssItem(esk55_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_210,negated_conjecture,
( ssItem(esk53_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_211,negated_conjecture,
( ssItem(esk52_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_212,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_107]),
[final] ).
cnf(i_0_213,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_105]),
[final] ).
cnf(i_0_214,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_106]),
[final] ).
cnf(i_0_215,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_103]),
[final] ).
cnf(i_0_216,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_104]),
[final] ).
cnf(i_0_217,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_102]),
[final] ).
cnf(i_0_218,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_108]),
[final] ).
cnf(i_0_219,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_108]),
[final] ).
cnf(i_0_220,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_109]),
[final] ).
cnf(i_0_221,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_110]),
[final] ).
cnf(i_0_222,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_111]),
[final] ).
cnf(i_0_223,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_112]),
[final] ).
cnf(i_0_224,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_111]),
[final] ).
cnf(i_0_225,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_111]),
[final] ).
cnf(i_0_226,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| ssList(esk57_0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_227,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| ssList(esk54_0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_228,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| ssItem(esk56_0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_229,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| ssItem(esk55_0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_230,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| ssItem(esk53_0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_231,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| ssItem(esk52_0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_232,negated_conjecture,
( ssList(esk60_0)
| app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_233,negated_conjecture,
( ssItem(esk59_0)
| app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_234,negated_conjecture,
( ssItem(esk58_0)
| app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_235,negated_conjecture,
( ssList(esk60_0)
| app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_236,negated_conjecture,
( ssItem(esk59_0)
| app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_237,negated_conjecture,
( ssItem(esk58_0)
| app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_238,negated_conjecture,
( ssList(esk60_0)
| app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_239,negated_conjecture,
( ssItem(esk59_0)
| app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_240,negated_conjecture,
( ssItem(esk58_0)
| app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_241,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_242,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_109]),
[final] ).
cnf(i_0_243,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_110]),
[final] ).
cnf(i_0_244,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_245,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_246,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_247,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_248,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_249,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_250,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_251,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_252,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_253,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_254,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_255,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_256,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_257,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_258,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_259,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_260,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_261,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_262,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_263,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_264,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_265,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_266,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_267,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_268,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_269,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_270,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_271,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_272,plain,
( ssList(esk9_2(X1,X2))
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_273,plain,
( ssList(esk8_2(X1,X2))
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_274,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_275,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_276,plain,
( ssList(esk4_2(X1,X2))
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_277,plain,
( ssList(esk3_2(X1,X2))
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_278,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_279,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_280,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_281,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_282,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_283,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_284,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_285,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_286,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_287,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_288,plain,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ gt(X1,X2)
| ~ gt(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_289,plain,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ lt(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_142]),
[final] ).
cnf(i_0_290,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_291,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_292,plain,
( strictorderedP(X1)
| ~ lt(esk30_1(X1),esk31_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_293,plain,
( totalorderedP(X1)
| ~ leq(esk25_1(X1),esk26_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_294,plain,
( strictorderP(X1)
| ~ lt(esk21_1(X1),esk20_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_295,plain,
( strictorderP(X1)
| ~ lt(esk20_1(X1),esk21_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_296,plain,
( totalorderP(X1)
| ~ leq(esk16_1(X1),esk15_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_297,plain,
( totalorderP(X1)
| ~ leq(esk15_1(X1),esk16_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_298,plain,
( gt(X2,X1)
| ~ lt(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_299,plain,
( geq(X2,X1)
| ~ leq(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_300,plain,
( lt(X2,X1)
| ~ gt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_301,plain,
( leq(X1,X2)
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_302,plain,
( leq(X2,X1)
| ~ geq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_303,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_304,plain,
( strictorderedP(cons(X2,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_305,plain,
( totalorderedP(cons(X2,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_306,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_307,plain,
( tl(cons(X2,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_308,plain,
( hd(cons(X2,X1)) = X2
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_150]),
[final] ).
cnf(i_0_309,plain,
( ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_310,plain,
( ssList(cons(X2,X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_152]),
[final] ).
cnf(i_0_311,plain,
( ~ neq(X1,X2)
| X1 != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_153]),
[final] ).
cnf(i_0_312,plain,
( X1 != X2
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_313,plain,
( ~ neq(X1,X2)
| X1 != X2
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_154]),
[final] ).
cnf(i_0_314,plain,
( singletonP(X2)
| ~ ssItem(X1)
| cons(X1,nil) != X2
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_315,plain,
( nil = X1
| nil != app(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_156]),
[final] ).
cnf(i_0_316,plain,
( nil = X1
| nil != app(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_156]),
[final] ).
cnf(i_0_317,plain,
( leq(esk11_1(X1),esk10_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_318,plain,
( leq(esk10_1(X1),esk11_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_319,plain,
( ~ ssList(X1)
| ~ ssItem(X2)
| cons(X2,X1) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_157]),
[final] ).
cnf(i_0_320,plain,
( ~ ssList(X1)
| ~ ssItem(X2)
| nil != cons(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_158]),
[final] ).
cnf(i_0_321,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_322,plain,
( nil = X1
| cons(hd(X1),tl(X1)) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_160]),
[final] ).
cnf(i_0_323,plain,
( equalelemsP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_161]),
[final] ).
cnf(i_0_324,plain,
( duplicatefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_162]),
[final] ).
cnf(i_0_325,plain,
( strictorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_163]),
[final] ).
cnf(i_0_326,plain,
( totalorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_164]),
[final] ).
cnf(i_0_327,plain,
( strictorderP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_165]),
[final] ).
cnf(i_0_328,plain,
( totalorderP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_166]),
[final] ).
cnf(i_0_329,plain,
( cyclefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_167]),
[final] ).
cnf(i_0_330,plain,
( cons(esk5_1(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_331,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_332,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_153]),
[final] ).
cnf(i_0_333,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_154]),
[final] ).
cnf(i_0_334,plain,
( ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(split_conjunct,[status(thm)],[i_0_168]),
[final] ).
cnf(i_0_335,plain,
( nil = X1
| ~ segmentP(nil,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_169]),
[final] ).
cnf(i_0_336,plain,
( nil = X1
| ~ rearsegP(nil,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_170]),
[final] ).
cnf(i_0_337,plain,
( nil = X1
| ~ frontsegP(nil,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_171]),
[final] ).
cnf(i_0_338,plain,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
inference(split_conjunct,[status(thm)],[i_0_172]),
[final] ).
cnf(i_0_339,plain,
( ssItem(esk5_1(X1))
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_340,plain,
( equalelemsP(X1)
| esk40_1(X1) != esk41_1(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_341,plain,
( segmentP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_169]),
[final] ).
cnf(i_0_342,plain,
( rearsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_170]),
[final] ).
cnf(i_0_343,plain,
( frontsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_171]),
[final] ).
cnf(i_0_344,plain,
( ssList(esk43_1(X1))
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_345,plain,
( ssList(esk42_1(X1))
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_346,plain,
( ssItem(esk41_1(X1))
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_347,plain,
( ssItem(esk40_1(X1))
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_348,plain,
( ssList(esk39_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_349,plain,
( ssList(esk38_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_350,plain,
( ssList(esk37_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_351,plain,
( ssItem(esk36_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_352,plain,
( ssItem(esk35_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_353,plain,
( ssList(esk34_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_354,plain,
( ssList(esk33_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_355,plain,
( ssList(esk32_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_356,plain,
( ssItem(esk31_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_357,plain,
( ssItem(esk30_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_358,plain,
( ssList(esk29_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_359,plain,
( ssList(esk28_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_360,plain,
( ssList(esk27_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_361,plain,
( ssItem(esk26_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_362,plain,
( ssItem(esk25_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_363,plain,
( ssList(esk24_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_364,plain,
( ssList(esk23_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_365,plain,
( ssList(esk22_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_366,plain,
( ssItem(esk21_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_367,plain,
( ssItem(esk20_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_368,plain,
( ssList(esk19_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_369,plain,
( ssList(esk18_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_370,plain,
( ssList(esk17_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_371,plain,
( ssItem(esk16_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_372,plain,
( ssItem(esk15_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_373,plain,
( ssList(esk14_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_374,plain,
( ssList(esk13_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_375,plain,
( ssList(esk12_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_376,plain,
( ssItem(esk11_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_377,plain,
( ssItem(esk10_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_378,plain,
( geq(X1,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_173]),
[final] ).
cnf(i_0_379,plain,
( leq(X1,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_174]),
[final] ).
cnf(i_0_380,plain,
( segmentP(X1,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_175]),
[final] ).
cnf(i_0_381,plain,
( rearsegP(X1,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_176]),
[final] ).
cnf(i_0_382,plain,
( frontsegP(X1,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_177]),
[final] ).
cnf(i_0_383,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_178]),
[final] ).
cnf(i_0_384,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_179]),
[final] ).
cnf(i_0_385,plain,
( esk35_1(X1) = esk36_1(X1)
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_386,plain,
( segmentP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_180]),
[final] ).
cnf(i_0_387,plain,
( rearsegP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_181]),
[final] ).
cnf(i_0_388,plain,
( frontsegP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_182]),
[final] ).
cnf(i_0_389,plain,
( ssList(esk47_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_183]),
[final] ).
cnf(i_0_390,plain,
( ssList(esk44_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_391,plain,
( nil = X1
| ssList(tl(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_184]),
[final] ).
cnf(i_0_392,plain,
( ssItem(esk46_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_185]),
[final] ).
cnf(i_0_393,plain,
( ssItem(esk45_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_394,plain,
( nil = X1
| ssItem(hd(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_186]),
[final] ).
cnf(i_0_395,plain,
( tl(X1) = esk47_1(X1)
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_183]),
[final] ).
cnf(i_0_396,plain,
( hd(X1) = esk46_1(X1)
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_185]),
[final] ).
cnf(i_0_397,negated_conjecture,
( ssList(esk60_0)
| ssList(esk57_0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_398,negated_conjecture,
( ssList(esk60_0)
| ssList(esk54_0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_399,negated_conjecture,
( ssItem(esk59_0)
| ssList(esk57_0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_400,negated_conjecture,
( ssItem(esk59_0)
| ssList(esk54_0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_401,negated_conjecture,
( ssItem(esk58_0)
| ssList(esk57_0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_402,negated_conjecture,
( ssItem(esk58_0)
| ssList(esk54_0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_403,negated_conjecture,
( ssList(esk60_0)
| ssItem(esk56_0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_404,negated_conjecture,
( ssItem(esk59_0)
| ssItem(esk56_0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_405,negated_conjecture,
( ssItem(esk58_0)
| ssItem(esk56_0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_406,negated_conjecture,
( ssList(esk60_0)
| ssItem(esk55_0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_407,negated_conjecture,
( ssItem(esk59_0)
| ssItem(esk55_0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_408,negated_conjecture,
( ssItem(esk58_0)
| ssItem(esk55_0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_409,negated_conjecture,
( ssList(esk60_0)
| ssItem(esk53_0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_410,negated_conjecture,
( ssItem(esk59_0)
| ssItem(esk53_0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_411,negated_conjecture,
( ssItem(esk58_0)
| ssItem(esk53_0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_412,negated_conjecture,
( ssList(esk60_0)
| ssItem(esk52_0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_413,negated_conjecture,
( ssItem(esk59_0)
| ssItem(esk52_0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_414,negated_conjecture,
( ssItem(esk58_0)
| ssItem(esk52_0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_415,plain,
~ singletonP(nil),
inference(split_conjunct,[status(thm)],[i_0_187]),
[final] ).
cnf(i_0_416,plain,
equalelemsP(nil),
inference(split_conjunct,[status(thm)],[ax74]),
[final] ).
cnf(i_0_417,plain,
duplicatefreeP(nil),
inference(split_conjunct,[status(thm)],[ax72]),
[final] ).
cnf(i_0_418,plain,
strictorderedP(nil),
inference(split_conjunct,[status(thm)],[ax69]),
[final] ).
cnf(i_0_419,plain,
totalorderedP(nil),
inference(split_conjunct,[status(thm)],[ax66]),
[final] ).
cnf(i_0_420,plain,
strictorderP(nil),
inference(split_conjunct,[status(thm)],[ax64]),
[final] ).
cnf(i_0_421,plain,
totalorderP(nil),
inference(split_conjunct,[status(thm)],[ax62]),
[final] ).
cnf(i_0_422,plain,
cyclefreeP(nil),
inference(split_conjunct,[status(thm)],[ax60]),
[final] ).
cnf(i_0_423,negated_conjecture,
ssList(esk51_0),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_424,negated_conjecture,
ssList(esk50_0),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_425,negated_conjecture,
ssList(esk49_0),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_426,negated_conjecture,
ssList(esk48_0),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_427,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]),
[final] ).
cnf(i_0_428,plain,
ssItem(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_429,plain,
ssItem(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_430,plain,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_431,negated_conjecture,
esk49_0 = esk51_0,
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_432,negated_conjecture,
esk48_0 = esk50_0,
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_433,axiom,
X1 = X1 ).
cnf(i_0_434,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_435,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_436,axiom,
( X1 != X2
| app(X1,X3) = app(X2,X3) ) ).
cnf(i_0_437,axiom,
( X1 != X2
| app(X3,X1) = app(X3,X2) ) ).
cnf(i_0_438,axiom,
( X1 != X2
| cons(X1,X3) = cons(X2,X3) ) ).
cnf(i_0_439,axiom,
( X1 != X2
| cons(X3,X1) = cons(X3,X2) ) ).
cnf(i_0_440,axiom,
( X1 != X2
| esk40_1(X1) = esk40_1(X2) ) ).
cnf(i_0_441,axiom,
( X1 != X2
| esk41_1(X1) = esk41_1(X2) ) ).
cnf(i_0_442,axiom,
( X1 != X2
| esk35_1(X1) = esk35_1(X2) ) ).
cnf(i_0_443,axiom,
( X1 != X2
| hd(X1) = hd(X2) ) ).
cnf(i_0_444,axiom,
( X1 != X2
| tl(X1) = tl(X2) ) ).
cnf(i_0_445,axiom,
( X1 != X2
| esk47_1(X1) = esk47_1(X2) ) ).
cnf(i_0_446,axiom,
( X1 != X2
| esk46_1(X1) = esk46_1(X2) ) ).
cnf(i_0_447,axiom,
( X1 != X2
| esk36_1(X1) = esk36_1(X2) ) ).
cnf(i_0_448,axiom,
( X1 != X2
| ~ ssItem(X1)
| ssItem(X2) ) ).
cnf(i_0_449,axiom,
( X1 != X2
| ~ duplicatefreeP(X1)
| duplicatefreeP(X2) ) ).
cnf(i_0_450,axiom,
( X1 != X2
| ~ equalelemsP(X1)
| equalelemsP(X2) ) ).
cnf(i_0_451,axiom,
( X1 != X2
| ~ segmentP(X1,X3)
| segmentP(X2,X3) ) ).
cnf(i_0_452,axiom,
( X1 != X2
| ~ segmentP(X3,X1)
| segmentP(X3,X2) ) ).
cnf(i_0_453,axiom,
( X1 != X2
| ~ memberP(X1,X3)
| memberP(X2,X3) ) ).
cnf(i_0_454,axiom,
( X1 != X2
| ~ memberP(X3,X1)
| memberP(X3,X2) ) ).
cnf(i_0_455,axiom,
( X1 != X2
| ~ frontsegP(X1,X3)
| frontsegP(X2,X3) ) ).
cnf(i_0_456,axiom,
( X1 != X2
| ~ frontsegP(X3,X1)
| frontsegP(X3,X2) ) ).
cnf(i_0_457,axiom,
( X1 != X2
| ~ rearsegP(X1,X3)
| rearsegP(X2,X3) ) ).
cnf(i_0_458,axiom,
( X1 != X2
| ~ rearsegP(X3,X1)
| rearsegP(X3,X2) ) ).
cnf(i_0_459,axiom,
( X1 != X2
| ~ gt(X1,X3)
| gt(X2,X3) ) ).
cnf(i_0_460,axiom,
( X1 != X2
| ~ gt(X3,X1)
| gt(X3,X2) ) ).
cnf(i_0_461,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_462,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_463,axiom,
( X1 != X2
| ~ neq(X1,X3)
| neq(X2,X3) ) ).
cnf(i_0_464,axiom,
( X1 != X2
| ~ neq(X3,X1)
| neq(X3,X2) ) ).
cnf(i_0_465,axiom,
( X1 != X2
| ~ singletonP(X1)
| singletonP(X2) ) ).
cnf(i_0_466,axiom,
( X1 != X2
| ~ ssList(X1)
| ssList(X2) ) ).
cnf(i_0_467,axiom,
( X1 != X2
| ~ cyclefreeP(X1)
| cyclefreeP(X2) ) ).
cnf(i_0_468,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_469,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_470,axiom,
( X1 != X2
| ~ lt(X1,X3)
| lt(X2,X3) ) ).
cnf(i_0_471,axiom,
( X1 != X2
| ~ lt(X3,X1)
| lt(X3,X2) ) ).
cnf(i_0_472,axiom,
( X1 != X2
| ~ strictorderP(X1)
| strictorderP(X2) ) ).
cnf(i_0_473,axiom,
( X1 != X2
| ~ totalorderP(X1)
| totalorderP(X2) ) ).
cnf(i_0_474,axiom,
( X1 != X2
| ~ strictorderedP(X1)
| strictorderedP(X2) ) ).
cnf(i_0_475,axiom,
( X1 != X2
| ~ totalorderedP(X1)
| totalorderedP(X2) ) ).
cnf(i_0_501,plain,
esk51_0 = esk49_0,
inference(scs_inference,[],[i_0_431,i_0_434]) ).
cnf(i_0_502,plain,
geq(esk2_0,esk2_0),
inference(scs_inference,[],[i_0_431,i_0_428,i_0_434,i_0_378]) ).
cnf(i_0_504,plain,
leq(esk2_0,esk2_0),
inference(scs_inference,[],[i_0_431,i_0_428,i_0_434,i_0_378,i_0_379]) ).
cnf(i_0_506,plain,
segmentP(esk51_0,esk51_0),
inference(scs_inference,[],[i_0_423,i_0_431,i_0_428,i_0_434,i_0_378,i_0_379,i_0_380]) ).
cnf(i_0_508,plain,
rearsegP(esk51_0,esk51_0),
inference(scs_inference,[],[i_0_423,i_0_431,i_0_428,i_0_434,i_0_378,i_0_379,i_0_380,i_0_381]) ).
cnf(i_0_510,plain,
frontsegP(esk51_0,esk51_0),
inference(scs_inference,[],[i_0_423,i_0_431,i_0_428,i_0_434,i_0_378,i_0_379,i_0_380,i_0_381,i_0_382]) ).
cnf(i_0_530,plain,
segmentP(esk49_0,esk49_0),
inference(scs_inference,[],[i_0_425,i_0_380]) ).
cnf(i_0_532,plain,
rearsegP(esk49_0,esk49_0),
inference(scs_inference,[],[i_0_425,i_0_380,i_0_381]) ).
cnf(i_0_534,plain,
frontsegP(esk49_0,esk49_0),
inference(scs_inference,[],[i_0_425,i_0_380,i_0_381,i_0_382]) ).
cnf(i_0_536,plain,
geq(esk1_0,esk1_0),
inference(scs_inference,[],[i_0_425,i_0_429,i_0_380,i_0_381,i_0_382,i_0_378]) ).
cnf(i_0_538,plain,
leq(esk1_0,esk1_0),
inference(scs_inference,[],[i_0_425,i_0_429,i_0_380,i_0_381,i_0_382,i_0_378,i_0_379]) ).
cnf(i_0_540,plain,
esk50_0 = esk48_0,
inference(scs_inference,[],[i_0_425,i_0_432,i_0_429,i_0_380,i_0_381,i_0_382,i_0_378,i_0_379,i_0_434]) ).
cnf(i_0_565,plain,
segmentP(esk48_0,esk48_0),
inference(scs_inference,[],[i_0_426,i_0_380]) ).
cnf(i_0_567,plain,
rearsegP(esk48_0,esk48_0),
inference(scs_inference,[],[i_0_426,i_0_380,i_0_381]) ).
cnf(i_0_569,plain,
frontsegP(esk48_0,esk48_0),
inference(scs_inference,[],[i_0_426,i_0_380,i_0_381,i_0_382]) ).
cnf(i_0_580,plain,
segmentP(esk50_0,esk50_0),
inference(scs_inference,[],[i_0_424,i_0_380]) ).
cnf(i_0_582,plain,
rearsegP(esk50_0,esk50_0),
inference(scs_inference,[],[i_0_424,i_0_380,i_0_381]) ).
cnf(i_0_584,plain,
frontsegP(esk50_0,esk50_0),
inference(scs_inference,[],[i_0_424,i_0_380,i_0_381,i_0_382]) ).
cnf(i_0_597,plain,
segmentP(nil,nil),
inference(scs_inference,[],[i_0_427,i_0_380]) ).
cnf(i_0_599,plain,
rearsegP(nil,nil),
inference(scs_inference,[],[i_0_427,i_0_380,i_0_381]) ).
cnf(i_0_601,plain,
frontsegP(nil,nil),
inference(scs_inference,[],[i_0_427,i_0_380,i_0_381,i_0_382]) ).
cnf(i_0_512,plain,
~ neq(esk51_0,esk51_0),
inference(scs_inference,[],[i_0_423,i_0_431,i_0_428,i_0_434,i_0_378,i_0_379,i_0_380,i_0_381,i_0_382,i_0_494]) ).
cnf(i_0_514,plain,
~ neq(esk2_0,esk2_0),
inference(scs_inference,[],[i_0_423,i_0_431,i_0_428,i_0_434,i_0_378,i_0_379,i_0_380,i_0_381,i_0_382,i_0_494,i_0_496]) ).
cnf(i_0_516,plain,
~ neq(esk49_0,esk51_0),
inference(scs_inference,[],[i_0_423,i_0_431,i_0_428,i_0_434,i_0_378,i_0_379,i_0_380,i_0_381,i_0_382,i_0_494,i_0_496,i_0_463]) ).
cnf(i_0_517,plain,
~ neq(esk51_0,esk49_0),
inference(scs_inference,[],[i_0_423,i_0_431,i_0_428,i_0_434,i_0_378,i_0_379,i_0_380,i_0_381,i_0_382,i_0_494,i_0_496,i_0_463,i_0_464]) ).
cnf(i_0_518,plain,
~ neq(esk48_0,esk50_0),
inference(scs_inference,[],[i_0_423,i_0_424,i_0_426,i_0_431,i_0_432,i_0_428,i_0_434,i_0_378,i_0_379,i_0_380,i_0_381,i_0_382,i_0_494,i_0_496,i_0_463,i_0_464,i_0_311]) ).
cnf(i_0_520,plain,
memberP(cons(esk2_0,esk51_0),esk2_0),
inference(scs_inference,[],[i_0_423,i_0_424,i_0_426,i_0_431,i_0_432,i_0_428,i_0_434,i_0_378,i_0_379,i_0_380,i_0_381,i_0_382,i_0_494,i_0_496,i_0_463,i_0_464,i_0_311,i_0_489]) ).
cnf(i_0_522,plain,
frontsegP(cons(esk2_0,esk51_0),cons(esk2_0,esk51_0)),
inference(scs_inference,[],[i_0_423,i_0_424,i_0_426,i_0_431,i_0_432,i_0_428,i_0_434,i_0_378,i_0_379,i_0_380,i_0_381,i_0_382,i_0_494,i_0_496,i_0_463,i_0_464,i_0_311,i_0_489,i_0_482]) ).
cnf(i_0_541,plain,
~ neq(esk49_0,esk49_0),
inference(scs_inference,[],[i_0_425,i_0_432,i_0_429,i_0_380,i_0_381,i_0_382,i_0_378,i_0_379,i_0_434,i_0_494]) ).
cnf(i_0_543,plain,
~ neq(esk1_0,esk1_0),
inference(scs_inference,[],[i_0_425,i_0_432,i_0_429,i_0_380,i_0_381,i_0_382,i_0_378,i_0_379,i_0_434,i_0_494,i_0_496]) ).
cnf(i_0_571,plain,
~ neq(nil,nil),
inference(scs_inference,[],[i_0_426,i_0_427,i_0_380,i_0_381,i_0_382,i_0_494]) ).
cnf(i_0_573,plain,
frontsegP(cons(esk2_0,esk48_0),cons(esk2_0,esk48_0)),
inference(scs_inference,[],[i_0_426,i_0_428,i_0_427,i_0_380,i_0_381,i_0_382,i_0_494,i_0_482]) ).
cnf(i_0_586,plain,
frontsegP(cons(esk2_0,esk50_0),cons(esk2_0,esk50_0)),
inference(scs_inference,[],[i_0_424,i_0_428,i_0_380,i_0_381,i_0_382,i_0_482]) ).
cnf(i_0_603,plain,
frontsegP(cons(esk2_0,nil),cons(esk2_0,nil)),
inference(scs_inference,[],[i_0_428,i_0_427,i_0_380,i_0_381,i_0_382,i_0_482]) ).
cnf(i_0_615,plain,
ssItem(esk1_0),
inference(equality_inference,[],[609]) ).
cnf(i_0_616,plain,
geq(esk1_0,esk1_0),
inference(equality_inference,[],[610]) ).
cnf(i_0_617,plain,
leq(esk1_0,esk1_0),
inference(equality_inference,[],[612]) ).
cnf(i_0_628,plain,
strictorderP(nil),
inference(equality_inference,[],[622]) ).
cnf(i_0_789,plain,
memberP(cons(esk2_0,esk50_0),esk2_0),
inference(scs_inference,[],[i_0_424,i_0_428,i_0_489]) ).
cnf(i_0_797,plain,
memberP(cons(esk1_0,esk50_0),esk1_0),
inference(scs_inference,[],[i_0_424,i_0_429,i_0_489]) ).
cnf(i_0_915,plain,
memberP(cons(esk2_0,esk49_0),esk2_0),
inference(scs_inference,[],[i_0_425,i_0_428,i_0_489]) ).
cnf(i_0_922,plain,
memberP(cons(esk1_0,esk49_0),esk1_0),
inference(scs_inference,[],[i_0_425,i_0_429,i_0_489]) ).
cnf(i_0_1040,plain,
memberP(cons(esk2_0,esk48_0),esk2_0),
inference(scs_inference,[],[i_0_426,i_0_428,i_0_489]) ).
cnf(i_0_1047,plain,
memberP(cons(esk1_0,esk48_0),esk1_0),
inference(scs_inference,[],[i_0_426,i_0_429,i_0_489]) ).
cnf(i_0_1731,plain,
app(esk50_0,X1) = app(esk48_0,X1),
inference(scs_inference,[],[i_0_540,i_0_436]) ).
cnf(i_0_1732,plain,
app(X1,esk50_0) = app(X1,esk48_0),
inference(scs_inference,[],[i_0_540,i_0_436,i_0_437]) ).
cnf(i_0_1733,plain,
cons(esk50_0,X1) = cons(esk48_0,X1),
inference(scs_inference,[],[i_0_540,i_0_436,i_0_437,i_0_438]) ).
cnf(i_0_1734,plain,
cons(X1,esk50_0) = cons(X1,esk48_0),
inference(scs_inference,[],[i_0_540,i_0_436,i_0_437,i_0_438,i_0_439]) ).
cnf(i_0_1735,plain,
esk40_1(esk50_0) = esk40_1(esk48_0),
inference(scs_inference,[],[i_0_540,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440]) ).
cnf(i_0_1736,plain,
esk41_1(esk50_0) = esk41_1(esk48_0),
inference(scs_inference,[],[i_0_540,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441]) ).
cnf(i_0_1737,plain,
esk35_1(esk50_0) = esk35_1(esk48_0),
inference(scs_inference,[],[i_0_540,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442]) ).
cnf(i_0_1738,plain,
hd(esk50_0) = hd(esk48_0),
inference(scs_inference,[],[i_0_540,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443]) ).
cnf(i_0_1739,plain,
tl(esk50_0) = tl(esk48_0),
inference(scs_inference,[],[i_0_540,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444]) ).
cnf(i_0_1740,plain,
esk47_1(esk50_0) = esk47_1(esk48_0),
inference(scs_inference,[],[i_0_540,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445]) ).
cnf(i_0_1741,plain,
esk46_1(esk50_0) = esk46_1(esk48_0),
inference(scs_inference,[],[i_0_540,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446]) ).
cnf(i_0_1742,plain,
esk36_1(esk50_0) = esk36_1(esk48_0),
inference(scs_inference,[],[i_0_540,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447]) ).
cnf(i_0_1743,plain,
~ lt(esk1_0,esk1_0),
inference(scs_inference,[],[i_0_540,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334]) ).
cnf(i_0_1745,plain,
~ memberP(nil,esk1_0),
inference(scs_inference,[],[i_0_540,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338]) ).
cnf(i_0_1747,plain,
segmentP(esk51_0,nil),
inference(scs_inference,[],[i_0_423,i_0_540,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386]) ).
cnf(i_0_1749,plain,
rearsegP(esk51_0,nil),
inference(scs_inference,[],[i_0_423,i_0_540,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387]) ).
cnf(i_0_1751,plain,
frontsegP(esk51_0,nil),
inference(scs_inference,[],[i_0_423,i_0_540,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388]) ).
cnf(i_0_1753,plain,
equalelemsP(cons(esk1_0,nil)),
inference(scs_inference,[],[i_0_423,i_0_540,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323]) ).
cnf(i_0_1755,plain,
duplicatefreeP(cons(esk1_0,nil)),
inference(scs_inference,[],[i_0_423,i_0_540,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324]) ).
cnf(i_0_1757,plain,
strictorderedP(cons(esk1_0,nil)),
inference(scs_inference,[],[i_0_423,i_0_540,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325]) ).
cnf(i_0_1759,plain,
totalorderedP(cons(esk1_0,nil)),
inference(scs_inference,[],[i_0_423,i_0_540,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326]) ).
cnf(i_0_1761,plain,
strictorderP(cons(esk1_0,nil)),
inference(scs_inference,[],[i_0_423,i_0_540,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327]) ).
cnf(i_0_1763,plain,
totalorderP(cons(esk1_0,nil)),
inference(scs_inference,[],[i_0_423,i_0_540,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328]) ).
cnf(i_0_1765,plain,
cyclefreeP(cons(esk1_0,nil)),
inference(scs_inference,[],[i_0_423,i_0_540,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329]) ).
cnf(i_0_1767,plain,
app(nil,esk51_0) = esk51_0,
inference(scs_inference,[],[i_0_423,i_0_540,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383]) ).
cnf(i_0_1769,plain,
app(esk51_0,nil) = esk51_0,
inference(scs_inference,[],[i_0_423,i_0_540,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383,i_0_384]) ).
cnf(i_0_1771,plain,
esk2_0 != esk1_0,
inference(scs_inference,[],[i_0_423,i_0_540,i_0_430,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383,i_0_384,i_0_434]) ).
cnf(i_0_1772,plain,
segmentP(esk48_0,esk50_0),
inference(scs_inference,[],[i_0_423,i_0_580,i_0_540,i_0_430,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383,i_0_384,i_0_434,i_0_451]) ).
cnf(i_0_1773,plain,
segmentP(esk50_0,esk48_0),
inference(scs_inference,[],[i_0_423,i_0_580,i_0_540,i_0_430,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383,i_0_384,i_0_434,i_0_451,i_0_452]) ).
cnf(i_0_1774,plain,
frontsegP(esk48_0,esk50_0),
inference(scs_inference,[],[i_0_423,i_0_580,i_0_584,i_0_540,i_0_430,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383,i_0_384,i_0_434,i_0_451,i_0_452,i_0_455]) ).
cnf(i_0_1775,plain,
frontsegP(esk50_0,esk48_0),
inference(scs_inference,[],[i_0_423,i_0_580,i_0_584,i_0_540,i_0_430,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383,i_0_384,i_0_434,i_0_451,i_0_452,i_0_455,i_0_456]) ).
cnf(i_0_1776,plain,
rearsegP(esk48_0,esk50_0),
inference(scs_inference,[],[i_0_423,i_0_580,i_0_582,i_0_584,i_0_540,i_0_430,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383,i_0_384,i_0_434,i_0_451,i_0_452,i_0_455,i_0_456,i_0_457]) ).
cnf(i_0_1777,plain,
rearsegP(esk50_0,esk48_0),
inference(scs_inference,[],[i_0_423,i_0_580,i_0_582,i_0_584,i_0_540,i_0_430,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383,i_0_384,i_0_434,i_0_451,i_0_452,i_0_455,i_0_456,i_0_457,i_0_458]) ).
cnf(i_0_1778,plain,
ssList(cons(esk1_0,esk51_0)),
inference(scs_inference,[],[i_0_423,i_0_580,i_0_582,i_0_584,i_0_540,i_0_430,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383,i_0_384,i_0_434,i_0_451,i_0_452,i_0_455,i_0_456,i_0_457,i_0_458,i_0_310]) ).
cnf(i_0_1780,plain,
cons(esk1_0,esk51_0) != esk51_0,
inference(scs_inference,[],[i_0_423,i_0_580,i_0_582,i_0_584,i_0_540,i_0_430,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383,i_0_384,i_0_434,i_0_451,i_0_452,i_0_455,i_0_456,i_0_457,i_0_458,i_0_310,i_0_319]) ).
cnf(i_0_1782,plain,
nil != cons(esk1_0,esk51_0),
inference(scs_inference,[],[i_0_423,i_0_580,i_0_582,i_0_584,i_0_540,i_0_430,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383,i_0_384,i_0_434,i_0_451,i_0_452,i_0_455,i_0_456,i_0_457,i_0_458,i_0_310,i_0_319,i_0_320]) ).
cnf(i_0_1784,plain,
tl(cons(esk1_0,esk51_0)) = esk51_0,
inference(scs_inference,[],[i_0_423,i_0_580,i_0_582,i_0_584,i_0_540,i_0_430,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383,i_0_384,i_0_434,i_0_451,i_0_452,i_0_455,i_0_456,i_0_457,i_0_458,i_0_310,i_0_319,i_0_320,i_0_307]) ).
cnf(i_0_1786,plain,
hd(cons(esk1_0,esk51_0)) = esk1_0,
inference(scs_inference,[],[i_0_423,i_0_580,i_0_582,i_0_584,i_0_540,i_0_430,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383,i_0_384,i_0_434,i_0_451,i_0_452,i_0_455,i_0_456,i_0_457,i_0_458,i_0_310,i_0_319,i_0_320,i_0_307,i_0_308]) ).
cnf(i_0_1788,plain,
cons(esk45_1(cons(esk1_0,esk51_0)),esk44_1(cons(esk1_0,esk51_0))) = cons(esk1_0,esk51_0),
inference(scs_inference,[],[i_0_423,i_0_580,i_0_582,i_0_584,i_0_540,i_0_430,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383,i_0_384,i_0_434,i_0_451,i_0_452,i_0_455,i_0_456,i_0_457,i_0_458,i_0_310,i_0_319,i_0_320,i_0_307,i_0_308,i_0_321]) ).
cnf(i_0_1790,plain,
cons(hd(cons(esk1_0,esk51_0)),tl(cons(esk1_0,esk51_0))) = cons(esk1_0,esk51_0),
inference(scs_inference,[],[i_0_423,i_0_580,i_0_582,i_0_584,i_0_540,i_0_430,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383,i_0_384,i_0_434,i_0_451,i_0_452,i_0_455,i_0_456,i_0_457,i_0_458,i_0_310,i_0_319,i_0_320,i_0_307,i_0_308,i_0_321,i_0_322]) ).
cnf(i_0_1792,plain,
cons(esk1_0,esk51_0) = app(cons(esk1_0,nil),esk51_0),
inference(scs_inference,[],[i_0_423,i_0_580,i_0_582,i_0_584,i_0_540,i_0_430,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383,i_0_384,i_0_434,i_0_451,i_0_452,i_0_455,i_0_456,i_0_457,i_0_458,i_0_310,i_0_319,i_0_320,i_0_307,i_0_308,i_0_321,i_0_322,i_0_280]) ).
cnf(i_0_1794,plain,
~ neq(cons(esk1_0,esk51_0),cons(esk1_0,esk51_0)),
inference(scs_inference,[],[i_0_423,i_0_580,i_0_582,i_0_584,i_0_540,i_0_430,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383,i_0_384,i_0_434,i_0_451,i_0_452,i_0_455,i_0_456,i_0_457,i_0_458,i_0_310,i_0_319,i_0_320,i_0_307,i_0_308,i_0_321,i_0_322,i_0_280,i_0_494]) ).
cnf(i_0_1796,plain,
esk2_0 != hd(cons(esk1_0,esk51_0)),
inference(scs_inference,[],[i_0_423,i_0_580,i_0_582,i_0_584,i_0_540,i_0_430,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383,i_0_384,i_0_434,i_0_451,i_0_452,i_0_455,i_0_456,i_0_457,i_0_458,i_0_310,i_0_319,i_0_320,i_0_307,i_0_308,i_0_321,i_0_322,i_0_280,i_0_494,i_0_435]) ).
cnf(i_0_1797,plain,
~ lt(hd(cons(esk1_0,esk51_0)),esk1_0),
inference(scs_inference,[],[i_0_423,i_0_580,i_0_582,i_0_584,i_0_540,i_0_430,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383,i_0_384,i_0_434,i_0_451,i_0_452,i_0_455,i_0_456,i_0_457,i_0_458,i_0_310,i_0_319,i_0_320,i_0_307,i_0_308,i_0_321,i_0_322,i_0_280,i_0_494,i_0_435,i_0_470]) ).
cnf(i_0_1798,plain,
~ lt(esk1_0,hd(cons(esk1_0,esk51_0))),
inference(scs_inference,[],[i_0_423,i_0_580,i_0_582,i_0_584,i_0_540,i_0_430,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383,i_0_384,i_0_434,i_0_451,i_0_452,i_0_455,i_0_456,i_0_457,i_0_458,i_0_310,i_0_319,i_0_320,i_0_307,i_0_308,i_0_321,i_0_322,i_0_280,i_0_494,i_0_435,i_0_470,i_0_471]) ).
cnf(i_0_1799,plain,
ssList(app(esk51_0,esk51_0)),
inference(scs_inference,[],[i_0_423,i_0_580,i_0_582,i_0_584,i_0_540,i_0_430,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383,i_0_384,i_0_434,i_0_451,i_0_452,i_0_455,i_0_456,i_0_457,i_0_458,i_0_310,i_0_319,i_0_320,i_0_307,i_0_308,i_0_321,i_0_322,i_0_280,i_0_494,i_0_435,i_0_470,i_0_471,i_0_309]) ).
cnf(i_0_529,plain,
esk48_0 = esk50_0,
inference(equality_inference,[],[524]) ).
cnf(i_0_545,plain,
~ neq(esk50_0,esk50_0),
inference(scs_inference,[],[i_0_425,i_0_432,i_0_429,i_0_518,i_0_380,i_0_381,i_0_382,i_0_378,i_0_379,i_0_434,i_0_494,i_0_496,i_0_463]) ).
cnf(i_0_546,plain,
~ neq(esk48_0,esk48_0),
inference(scs_inference,[],[i_0_425,i_0_432,i_0_429,i_0_518,i_0_380,i_0_381,i_0_382,i_0_378,i_0_379,i_0_434,i_0_494,i_0_496,i_0_463,i_0_464]) ).
cnf(i_0_547,plain,
memberP(cons(esk1_0,esk51_0),esk1_0),
inference(scs_inference,[],[i_0_423,i_0_425,i_0_432,i_0_429,i_0_518,i_0_380,i_0_381,i_0_382,i_0_378,i_0_379,i_0_434,i_0_494,i_0_496,i_0_463,i_0_464,i_0_489]) ).
cnf(i_0_549,plain,
~ neq(esk50_0,esk48_0),
inference(scs_inference,[],[i_0_423,i_0_425,i_0_426,i_0_432,i_0_424,i_0_429,i_0_518,i_0_380,i_0_381,i_0_382,i_0_378,i_0_379,i_0_434,i_0_494,i_0_496,i_0_463,i_0_464,i_0_489,i_0_311]) ).
cnf(i_0_551,plain,
frontsegP(cons(esk2_0,esk49_0),cons(esk2_0,esk49_0)),
inference(scs_inference,[],[i_0_423,i_0_425,i_0_426,i_0_432,i_0_424,i_0_428,i_0_429,i_0_518,i_0_380,i_0_381,i_0_382,i_0_378,i_0_379,i_0_434,i_0_494,i_0_496,i_0_463,i_0_464,i_0_489,i_0_311,i_0_482]) ).
cnf(i_0_579,plain,
cyclefreeP(nil),
inference(equality_inference,[],[575]) ).
cnf(i_0_596,plain,
ssList(nil),
inference(equality_inference,[],[588]) ).
cnf(i_0_1801,plain,
~ neq(app(nil,esk51_0),esk51_0),
inference(scs_inference,[],[i_0_423,i_0_580,i_0_582,i_0_584,i_0_512,i_0_540,i_0_430,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383,i_0_384,i_0_434,i_0_451,i_0_452,i_0_455,i_0_456,i_0_457,i_0_458,i_0_310,i_0_319,i_0_320,i_0_307,i_0_308,i_0_321,i_0_322,i_0_280,i_0_494,i_0_435,i_0_470,i_0_471,i_0_309,i_0_463]) ).
cnf(i_0_1802,plain,
~ neq(esk51_0,app(nil,esk51_0)),
inference(scs_inference,[],[i_0_423,i_0_580,i_0_582,i_0_584,i_0_512,i_0_540,i_0_430,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383,i_0_384,i_0_434,i_0_451,i_0_452,i_0_455,i_0_456,i_0_457,i_0_458,i_0_310,i_0_319,i_0_320,i_0_307,i_0_308,i_0_321,i_0_322,i_0_280,i_0_494,i_0_435,i_0_470,i_0_471,i_0_309,i_0_463,i_0_464]) ).
cnf(i_0_1803,plain,
~ gt(esk1_0,esk1_0),
inference(scs_inference,[],[i_0_423,i_0_580,i_0_582,i_0_584,i_0_512,i_0_540,i_0_430,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383,i_0_384,i_0_434,i_0_451,i_0_452,i_0_455,i_0_456,i_0_457,i_0_458,i_0_310,i_0_319,i_0_320,i_0_307,i_0_308,i_0_321,i_0_322,i_0_280,i_0_494,i_0_435,i_0_470,i_0_471,i_0_309,i_0_463,i_0_464,i_0_300]) ).
cnf(i_0_1805,plain,
ssList(esk9_2(esk51_0,esk51_0)),
inference(scs_inference,[],[i_0_423,i_0_506,i_0_580,i_0_582,i_0_584,i_0_512,i_0_540,i_0_430,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383,i_0_384,i_0_434,i_0_451,i_0_452,i_0_455,i_0_456,i_0_457,i_0_458,i_0_310,i_0_319,i_0_320,i_0_307,i_0_308,i_0_321,i_0_322,i_0_280,i_0_494,i_0_435,i_0_470,i_0_471,i_0_309,i_0_463,i_0_464,i_0_300,i_0_272]) ).
cnf(i_0_1807,plain,
ssList(esk8_2(esk51_0,esk51_0)),
inference(scs_inference,[],[i_0_423,i_0_506,i_0_580,i_0_582,i_0_584,i_0_512,i_0_540,i_0_430,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383,i_0_384,i_0_434,i_0_451,i_0_452,i_0_455,i_0_456,i_0_457,i_0_458,i_0_310,i_0_319,i_0_320,i_0_307,i_0_308,i_0_321,i_0_322,i_0_280,i_0_494,i_0_435,i_0_470,i_0_471,i_0_309,i_0_463,i_0_464,i_0_300,i_0_272,i_0_273]) ).
cnf(i_0_1809,plain,
ssList(esk7_2(esk51_0,esk51_0)),
inference(scs_inference,[],[i_0_423,i_0_506,i_0_508,i_0_580,i_0_582,i_0_584,i_0_512,i_0_540,i_0_430,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383,i_0_384,i_0_434,i_0_451,i_0_452,i_0_455,i_0_456,i_0_457,i_0_458,i_0_310,i_0_319,i_0_320,i_0_307,i_0_308,i_0_321,i_0_322,i_0_280,i_0_494,i_0_435,i_0_470,i_0_471,i_0_309,i_0_463,i_0_464,i_0_300,i_0_272,i_0_273,i_0_274]) ).
cnf(i_0_1811,plain,
ssList(esk6_2(esk51_0,esk51_0)),
inference(scs_inference,[],[i_0_423,i_0_506,i_0_508,i_0_510,i_0_580,i_0_582,i_0_584,i_0_512,i_0_540,i_0_430,i_0_429,i_0_436,i_0_437,i_0_438,i_0_439,i_0_440,i_0_441,i_0_442,i_0_443,i_0_444,i_0_445,i_0_446,i_0_447,i_0_334,i_0_338,i_0_386,i_0_387,i_0_388,i_0_323,i_0_324,i_0_325,i_0_326,i_0_327,i_0_328,i_0_329,i_0_383,i_0_384,i_0_434,i_0_451,i_0_452,i_0_455,i_0_456,i_0_457,i_0_458,i_0_310,i_0_319,i_0_320,i_0_307,i_0_308,i_0_321,i_0_322,i_0_280,i_0_494,i_0_435,i_0_470,i_0_471,i_0_309,i_0_463,i_0_464,i_0_300,i_0_272,i_0_273,i_0_274,i_0_275]) ).
cnf(i_0_2178,plain,
cons(X1,esk50_0) = cons(X1,esk48_0),
inference(rename_variables,[],[i_0_1734]) ).
cnf(i_0_2180,plain,
cons(X1,esk50_0) = cons(X1,esk48_0),
inference(rename_variables,[],[i_0_1734]) ).
cnf(c_0_481,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| ssList(esk57_0) ),
i_0_226 ).
cnf(c_0_482,negated_conjecture,
esk49_0 = esk51_0,
i_0_431 ).
cnf(c_0_483,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| ssItem(esk56_0) ),
i_0_228 ).
cnf(c_0_484,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| ssItem(esk55_0) ),
i_0_229 ).
cnf(c_0_485,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk48_0 ),
i_0_190 ).
cnf(c_0_486,negated_conjecture,
esk48_0 = esk50_0,
i_0_432 ).
cnf(c_0_487,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0 ),
i_0_203 ).
cnf(c_0_488,negated_conjecture,
( ssList(esk57_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0 ),
i_0_206 ).
cnf(c_0_489,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk51_0
| ssList(esk57_0) ),
inference(rw,[status(thm)],[c_0_481,c_0_482]) ).
cnf(c_0_490,negated_conjecture,
( ssItem(esk58_0)
| ssList(esk57_0) ),
i_0_401 ).
cnf(c_0_491,negated_conjecture,
( ssItem(esk59_0)
| ssList(esk57_0) ),
i_0_399 ).
cnf(c_0_492,negated_conjecture,
( ssList(esk60_0)
| ssList(esk57_0) ),
i_0_397 ).
cnf(c_0_493,negated_conjecture,
( ssItem(esk56_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0 ),
i_0_208 ).
cnf(c_0_494,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk51_0
| ssItem(esk56_0) ),
inference(rw,[status(thm)],[c_0_483,c_0_482]) ).
cnf(c_0_495,negated_conjecture,
( ssItem(esk58_0)
| ssItem(esk56_0) ),
i_0_405 ).
cnf(c_0_496,negated_conjecture,
( ssItem(esk59_0)
| ssItem(esk56_0) ),
i_0_404 ).
cnf(c_0_497,negated_conjecture,
( ssList(esk60_0)
| ssItem(esk56_0) ),
i_0_403 ).
cnf(c_0_498,negated_conjecture,
( ssItem(esk55_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0 ),
i_0_209 ).
cnf(c_0_499,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk51_0
| ssItem(esk55_0) ),
inference(rw,[status(thm)],[c_0_484,c_0_482]) ).
cnf(c_0_500,negated_conjecture,
( ssItem(esk58_0)
| ssItem(esk55_0) ),
i_0_408 ).
cnf(c_0_501,negated_conjecture,
( ssItem(esk59_0)
| ssItem(esk55_0) ),
i_0_407 ).
cnf(c_0_502,negated_conjecture,
( ssList(esk60_0)
| ssItem(esk55_0) ),
i_0_406 ).
cnf(c_0_503,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0 ),
i_0_204 ).
cnf(c_0_504,negated_conjecture,
( ssList(esk60_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk48_0 ),
i_0_191 ).
cnf(c_0_505,negated_conjecture,
( ssItem(esk59_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk48_0 ),
i_0_192 ).
cnf(c_0_506,negated_conjecture,
( ssItem(esk58_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk48_0 ),
i_0_193 ).
cnf(c_0_507,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk51_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk50_0
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_485,c_0_482]),c_0_486]),c_0_482]) ).
cnf(c_0_508,negated_conjecture,
( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk51_0 ),
inference(rw,[status(thm)],[c_0_487,c_0_482]) ).
cnf(c_0_509,negated_conjecture,
ssList(esk57_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_489]),c_0_490]),c_0_491]),c_0_492]) ).
cnf(c_0_510,negated_conjecture,
ssItem(esk56_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_493,c_0_494]),c_0_495]),c_0_496]),c_0_497]) ).
cnf(c_0_511,negated_conjecture,
ssItem(esk55_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_498,c_0_499]),c_0_500]),c_0_501]),c_0_502]) ).
cnf(c_0_512,negated_conjecture,
( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk51_0 ),
inference(rw,[status(thm)],[c_0_503,c_0_482]) ).
cnf(c_0_513,negated_conjecture,
( ssList(esk60_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk50_0
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_504,c_0_486]),c_0_482]) ).
cnf(c_0_514,negated_conjecture,
( ssList(esk60_0)
| app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0 ),
i_0_232 ).
cnf(c_0_515,negated_conjecture,
( ssList(esk60_0)
| app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0 ),
i_0_235 ).
cnf(c_0_516,negated_conjecture,
( ssItem(esk59_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk50_0
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_505,c_0_486]),c_0_482]) ).
cnf(c_0_517,negated_conjecture,
( ssItem(esk59_0)
| app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0 ),
i_0_233 ).
cnf(c_0_518,negated_conjecture,
( ssItem(esk59_0)
| app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0 ),
i_0_236 ).
cnf(c_0_519,negated_conjecture,
( ssItem(esk58_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk50_0
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_506,c_0_486]),c_0_482]) ).
cnf(c_0_520,negated_conjecture,
( ssItem(esk58_0)
| app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0 ),
i_0_234 ).
cnf(c_0_521,negated_conjecture,
( ssItem(esk58_0)
| app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0 ),
i_0_237 ).
cnf(c_0_522,negated_conjecture,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssItem(X4)
| ~ ssItem(X5)
| ~ ssList(X6)
| app(app(cons(X4,nil),cons(X5,nil)),X6) != esk49_0
| app(app(cons(X5,nil),cons(X4,nil)),X6) != esk48_0 ),
i_0_189 ).
cnf(c_0_523,negated_conjecture,
( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0 ),
i_0_194 ).
cnf(c_0_524,negated_conjecture,
app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk51_0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_507,c_0_508]),c_0_509]),c_0_510]),c_0_511])]),c_0_512]) ).
cnf(c_0_525,negated_conjecture,
ssList(esk60_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_514]),c_0_509]),c_0_510]),c_0_511])]),c_0_515]) ).
cnf(c_0_526,negated_conjecture,
ssItem(esk59_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_517]),c_0_509]),c_0_510]),c_0_511])]),c_0_518]) ).
cnf(c_0_527,negated_conjecture,
ssItem(esk58_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_520]),c_0_509]),c_0_510]),c_0_511])]),c_0_521]) ).
cnf(c_0_528,negated_conjecture,
( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0 ),
i_0_195 ).
cnf(c_0_529,negated_conjecture,
( app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0 ),
i_0_196 ).
cnf(c_0_530,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| ssList(esk54_0) ),
i_0_227 ).
cnf(c_0_531,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| ssItem(esk53_0) ),
i_0_230 ).
cnf(c_0_532,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| ssItem(esk52_0) ),
i_0_231 ).
cnf(c_0_533,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk50_0
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk51_0
| app(app(cons(X4,nil),cons(X5,nil)),X6) != esk51_0
| ~ ssList(X3)
| ~ ssList(X6)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X5)
| ~ ssItem(X4) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_522,c_0_486]),c_0_482]) ).
cnf(c_0_534,negated_conjecture,
app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_524]),c_0_525]),c_0_526]),c_0_527])]) ).
cnf(c_0_535,negated_conjecture,
app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_528,c_0_524]),c_0_525]),c_0_526]),c_0_527])]) ).
cnf(c_0_536,negated_conjecture,
( app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk51_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[c_0_529,c_0_482]) ).
cnf(c_0_537,negated_conjecture,
( ssList(esk54_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0 ),
i_0_207 ).
cnf(c_0_538,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk51_0
| ssList(esk54_0) ),
inference(rw,[status(thm)],[c_0_530,c_0_482]) ).
cnf(c_0_539,negated_conjecture,
( ssItem(esk58_0)
| ssList(esk54_0) ),
i_0_402 ).
cnf(c_0_540,negated_conjecture,
( ssItem(esk59_0)
| ssList(esk54_0) ),
i_0_400 ).
cnf(c_0_541,negated_conjecture,
( ssList(esk60_0)
| ssList(esk54_0) ),
i_0_398 ).
cnf(c_0_542,negated_conjecture,
( ssItem(esk53_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0 ),
i_0_210 ).
cnf(c_0_543,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk51_0
| ssItem(esk53_0) ),
inference(rw,[status(thm)],[c_0_531,c_0_482]) ).
cnf(c_0_544,negated_conjecture,
( ssItem(esk58_0)
| ssItem(esk53_0) ),
i_0_411 ).
cnf(c_0_545,negated_conjecture,
( ssItem(esk59_0)
| ssItem(esk53_0) ),
i_0_410 ).
cnf(c_0_546,negated_conjecture,
( ssList(esk60_0)
| ssItem(esk53_0) ),
i_0_409 ).
cnf(c_0_547,negated_conjecture,
( ssItem(esk52_0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0 ),
i_0_211 ).
cnf(c_0_548,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk51_0
| ssItem(esk52_0) ),
inference(rw,[status(thm)],[c_0_532,c_0_482]) ).
cnf(c_0_549,negated_conjecture,
( ssItem(esk58_0)
| ssItem(esk52_0) ),
i_0_414 ).
cnf(c_0_550,negated_conjecture,
( ssItem(esk59_0)
| ssItem(esk52_0) ),
i_0_413 ).
cnf(c_0_551,negated_conjecture,
( ssList(esk60_0)
| ssItem(esk52_0) ),
i_0_412 ).
cnf(c_0_552,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_533,c_0_534]),c_0_535]),c_0_509]),c_0_510]),c_0_511])]) ).
cnf(c_0_553,negated_conjecture,
app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk51_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_536,c_0_524]),c_0_525]),c_0_526]),c_0_527])]) ).
cnf(c_0_554,negated_conjecture,
ssList(esk54_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_538]),c_0_539]),c_0_540]),c_0_541]) ).
cnf(c_0_555,negated_conjecture,
ssItem(esk53_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_542,c_0_543]),c_0_544]),c_0_545]),c_0_546]) ).
cnf(c_0_556,negated_conjecture,
ssItem(esk52_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_548]),c_0_549]),c_0_550]),c_0_551]) ).
cnf(c_0_557,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_552,c_0_553]),c_0_554]),c_0_555]),c_0_556])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC413+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.13 % 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
% 0.15/0.34 % Computer : n008.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue May 5 04:49:13 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 113.81/90.36 % Version : CSE_E---1.7
% 113.81/90.36 % Problem : theBenchmark.p
% 113.81/90.36 % SZS status Theorem for theBenchmark.p
% 113.81/90.36 % SZS output start CNFRefutation
% See solution above
% 122.31/98.87 % Total time : 89.965s
%------------------------------------------------------------------------------