%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC246+1 : TPTP v9.2.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:18:52 PM UTC 2026
% Result : Theorem 163.41s 117.77s
% Output : CNFRefutation 174.84s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_1586)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ~ ssList(X4)
| X2 != X4
| X1 != X3
| nil = X1
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& app(app(X6,cons(X5,nil)),X7) = X1
& ! [X8] :
( ~ ssItem(X8)
| ~ memberP(X6,X8)
| ~ memberP(X7,X8)
| ~ lt(X5,X8)
| leq(X5,X8) ) ) ) )
| ! [X9] :
( ssList(X9)
=> ! [X10] :
( ~ ssList(X10)
| app(app(X9,X3),X10) != X4
| ~ equalelemsP(X3)
| ? [X11] :
( ssItem(X11)
& ? [X12] :
( ssList(X12)
& app(X12,cons(X11,nil)) = X9
& ? [X13] :
( ssList(X13)
& app(cons(X11,nil),X13) = X3 ) ) )
| ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssList(X15)
& app(cons(X14,nil),X15) = X10
& ? [X16] :
( ssList(X16)
& app(X16,cons(X14,nil)) = X3 ) ) ) ) )
| ( nil != X4
& nil = X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(ax94,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( gt(X1,X2)
=> ~ gt(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax94) ).
fof(ax33,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( lt(X1,X2)
=> ~ lt(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax33) ).
fof(ax90,axiom,
! [X1] :
( ssItem(X1)
=> ~ lt(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax90) ).
fof(ax38,axiom,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax92) ).
fof(ax35,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( gt(X1,X2)
<=> lt(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax35) ).
fof(ax32,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( geq(X1,X2)
<=> leq(X2,X1) ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax77) ).
fof(ax25,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> tl(cons(X2,X1)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax25) ).
fof(ax23,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> hd(cons(X2,X1)) = X2 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax23) ).
fof(ax26,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(ax16,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ssList(cons(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(ax15,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(ax1,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax1) ).
fof(ax4,axiom,
! [X1] :
( ssList(X1)
=> ( singletonP(X1)
<=> ? [X2] :
( ssItem(X2)
& cons(X2,nil) = X1 ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax83) ).
fof(ax18,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,X1) != X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax18) ).
fof(ax21,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> nil != cons(X2,X1) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax20) ).
fof(ax78,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> cons(hd(X1),tl(X1)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax78) ).
fof(ax73,axiom,
! [X1] :
( ssItem(X1)
=> equalelemsP(cons(X1,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax73) ).
fof(ax71,axiom,
! [X1] :
( ssItem(X1)
=> duplicatefreeP(cons(X1,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax71) ).
fof(ax68,axiom,
! [X1] :
( ssItem(X1)
=> strictorderedP(cons(X1,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax68) ).
fof(ax65,axiom,
! [X1] :
( ssItem(X1)
=> totalorderedP(cons(X1,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax65) ).
fof(ax63,axiom,
! [X1] :
( ssItem(X1)
=> strictorderP(cons(X1,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax63) ).
fof(ax61,axiom,
! [X1] :
( ssItem(X1)
=> totalorderP(cons(X1,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax61) ).
fof(ax59,axiom,
! [X1] :
( ssItem(X1)
=> cyclefreeP(cons(X1,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax59) ).
fof(ax58,axiom,
! [X1] :
( ssList(X1)
=> ( segmentP(nil,X1)
<=> nil = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax58) ).
fof(ax52,axiom,
! [X1] :
( ssList(X1)
=> ( rearsegP(nil,X1)
<=> nil = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax52) ).
fof(ax46,axiom,
! [X1] :
( ssList(X1)
=> ( frontsegP(nil,X1)
<=> nil = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax46) ).
fof(ax89,axiom,
! [X1] :
( ssItem(X1)
=> geq(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax89) ).
fof(ax31,axiom,
! [X1] :
( ssItem(X1)
=> leq(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax31) ).
fof(ax55,axiom,
! [X1] :
( ssList(X1)
=> segmentP(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax55) ).
fof(ax49,axiom,
! [X1] :
( ssList(X1)
=> rearsegP(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax49) ).
fof(ax42,axiom,
! [X1] :
( ssList(X1)
=> frontsegP(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax42) ).
fof(ax28,axiom,
! [X1] :
( ssList(X1)
=> app(nil,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(ax84,axiom,
! [X1] :
( ssList(X1)
=> app(X1,nil) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(ax57,axiom,
! [X1] :
( ssList(X1)
=> segmentP(X1,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax57) ).
fof(ax51,axiom,
! [X1] :
( ssList(X1)
=> rearsegP(X1,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax51) ).
fof(ax45,axiom,
! [X1] :
( ssList(X1)
=> frontsegP(X1,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax45) ).
fof(ax76,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ? [X2] :
( ssList(X2)
& tl(X1) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax76) ).
fof(ax24,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssList(tl(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(ax75,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ? [X2] :
( ssItem(X2)
& hd(X1) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax75) ).
fof(ax22,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssItem(hd(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax22) ).
fof(ax39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax39) ).
fof(ax2,axiom,
? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& X1 != X2 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax2) ).
fof(ax74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax74) ).
fof(ax72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax72) ).
fof(ax69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax69) ).
fof(ax66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax66) ).
fof(ax64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax64) ).
fof(ax62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax62) ).
fof(ax60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax60) ).
fof(ax17,axiom,
ssList(nil),
file('/export/starexec/sandbox/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
| nil = X1
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& app(app(X6,cons(X5,nil)),X7) = X1
& ! [X8] :
( ~ ssItem(X8)
| ~ memberP(X6,X8)
| ~ memberP(X7,X8)
| ~ lt(X5,X8)
| leq(X5,X8) ) ) ) )
| ! [X9] :
( ssList(X9)
=> ! [X10] :
( ~ ssList(X10)
| app(app(X9,X3),X10) != X4
| ~ equalelemsP(X3)
| ? [X11] :
( ssItem(X11)
& ? [X12] :
( ssList(X12)
& app(X12,cons(X11,nil)) = X9
& ? [X13] :
( ssList(X13)
& app(cons(X11,nil),X13) = X3 ) ) )
| ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssList(X15)
& app(cons(X14,nil),X15) = X10
& ? [X16] :
( ssList(X16)
& app(X16,cons(X14,nil)) = X3 ) ) ) ) )
| ( nil != X4
& nil = X3 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
fof(i_0_97,plain,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( gt(X1,X2)
=> ~ gt(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[ax94]) ).
fof(i_0_98,plain,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( lt(X1,X2)
=> ~ lt(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[ax33]) ).
fof(i_0_99,plain,
! [X1] :
( ssItem(X1)
=> ~ lt(X1,X1) ),
inference(fof_simplification,[status(thm)],[ax90]) ).
fof(i_0_100,plain,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
inference(fof_simplification,[status(thm)],[ax38]) ).
fof(i_0_101,negated_conjecture,
! [X484,X485,X486,X490,X491,X492,X493,X494,X495] :
( ssList(esk48_0)
& ssList(esk49_0)
& ssList(esk50_0)
& ssList(esk51_0)
& esk49_0 = esk51_0
& esk48_0 = esk50_0
& nil != esk48_0
& ( ssItem(esk52_3(X484,X485,X486))
| ~ ssList(X486)
| app(app(X485,cons(X484,nil)),X486) != esk48_0
| ~ ssList(X485)
| ~ ssItem(X484) )
& ( memberP(X485,esk52_3(X484,X485,X486))
| ~ ssList(X486)
| app(app(X485,cons(X484,nil)),X486) != esk48_0
| ~ ssList(X485)
| ~ ssItem(X484) )
& ( memberP(X486,esk52_3(X484,X485,X486))
| ~ ssList(X486)
| app(app(X485,cons(X484,nil)),X486) != esk48_0
| ~ ssList(X485)
| ~ ssItem(X484) )
& ( lt(X484,esk52_3(X484,X485,X486))
| ~ ssList(X486)
| app(app(X485,cons(X484,nil)),X486) != esk48_0
| ~ ssList(X485)
| ~ ssItem(X484) )
& ( ~ leq(X484,esk52_3(X484,X485,X486))
| ~ ssList(X486)
| app(app(X485,cons(X484,nil)),X486) != esk48_0
| ~ ssList(X485)
| ~ ssItem(X484) )
& ssList(esk53_0)
& ssList(esk54_0)
& app(app(esk53_0,esk50_0),esk54_0) = esk51_0
& equalelemsP(esk50_0)
& ( ~ ssItem(X490)
| ~ ssList(X491)
| app(X491,cons(X490,nil)) != esk53_0
| ~ ssList(X492)
| app(cons(X490,nil),X492) != esk50_0 )
& ( ~ ssItem(X493)
| ~ ssList(X494)
| app(cons(X493,nil),X494) != esk54_0
| ~ ssList(X495)
| app(X495,cons(X493,nil)) != esk50_0 )
& ( nil = esk51_0
| nil != 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,
! [X263,X264,X265,X266,X267,X268] :
( ( ~ cyclefreeP(X263)
| ~ ssItem(X264)
| ~ ssItem(X265)
| ~ ssList(X266)
| ~ ssList(X267)
| ~ ssList(X268)
| app(app(X266,cons(X264,X267)),cons(X265,X268)) != X263
| ~ leq(X264,X265)
| ~ leq(X265,X264)
| ~ ssList(X263) )
& ( ssItem(esk10_1(X263))
| cyclefreeP(X263)
| ~ ssList(X263) )
& ( ssItem(esk11_1(X263))
| cyclefreeP(X263)
| ~ ssList(X263) )
& ( ssList(esk12_1(X263))
| cyclefreeP(X263)
| ~ ssList(X263) )
& ( ssList(esk13_1(X263))
| cyclefreeP(X263)
| ~ ssList(X263) )
& ( ssList(esk14_1(X263))
| cyclefreeP(X263)
| ~ ssList(X263) )
& ( app(app(esk12_1(X263),cons(esk10_1(X263),esk13_1(X263))),cons(esk11_1(X263),esk14_1(X263))) = X263
| cyclefreeP(X263)
| ~ ssList(X263) )
& ( leq(esk10_1(X263),esk11_1(X263))
| cyclefreeP(X263)
| ~ ssList(X263) )
& ( leq(esk11_1(X263),esk10_1(X263))
| cyclefreeP(X263)
| ~ ssList(X263) ) ),
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,
! [X285,X286,X287,X288,X289,X290] :
( ( ~ strictorderP(X285)
| ~ ssItem(X286)
| ~ ssItem(X287)
| ~ ssList(X288)
| ~ ssList(X289)
| ~ ssList(X290)
| app(app(X288,cons(X286,X289)),cons(X287,X290)) != X285
| lt(X286,X287)
| lt(X287,X286)
| ~ ssList(X285) )
& ( ssItem(esk20_1(X285))
| strictorderP(X285)
| ~ ssList(X285) )
& ( ssItem(esk21_1(X285))
| strictorderP(X285)
| ~ ssList(X285) )
& ( ssList(esk22_1(X285))
| strictorderP(X285)
| ~ ssList(X285) )
& ( ssList(esk23_1(X285))
| strictorderP(X285)
| ~ ssList(X285) )
& ( ssList(esk24_1(X285))
| strictorderP(X285)
| ~ ssList(X285) )
& ( app(app(esk22_1(X285),cons(esk20_1(X285),esk23_1(X285))),cons(esk21_1(X285),esk24_1(X285))) = X285
| strictorderP(X285)
| ~ ssList(X285) )
& ( ~ lt(esk20_1(X285),esk21_1(X285))
| strictorderP(X285)
| ~ ssList(X285) )
& ( ~ lt(esk21_1(X285),esk20_1(X285))
| strictorderP(X285)
| ~ ssList(X285) ) ),
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,
! [X274,X275,X276,X277,X278,X279] :
( ( ~ totalorderP(X274)
| ~ ssItem(X275)
| ~ ssItem(X276)
| ~ ssList(X277)
| ~ ssList(X278)
| ~ ssList(X279)
| app(app(X277,cons(X275,X278)),cons(X276,X279)) != X274
| leq(X275,X276)
| leq(X276,X275)
| ~ ssList(X274) )
& ( ssItem(esk15_1(X274))
| totalorderP(X274)
| ~ ssList(X274) )
& ( ssItem(esk16_1(X274))
| totalorderP(X274)
| ~ ssList(X274) )
& ( ssList(esk17_1(X274))
| totalorderP(X274)
| ~ ssList(X274) )
& ( ssList(esk18_1(X274))
| totalorderP(X274)
| ~ ssList(X274) )
& ( ssList(esk19_1(X274))
| totalorderP(X274)
| ~ ssList(X274) )
& ( app(app(esk17_1(X274),cons(esk15_1(X274),esk18_1(X274))),cons(esk16_1(X274),esk19_1(X274))) = X274
| totalorderP(X274)
| ~ ssList(X274) )
& ( ~ leq(esk15_1(X274),esk16_1(X274))
| totalorderP(X274)
| ~ ssList(X274) )
& ( ~ leq(esk16_1(X274),esk15_1(X274))
| totalorderP(X274)
| ~ ssList(X274) ) ),
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,
! [X307,X308,X309,X310,X311,X312] :
( ( ~ strictorderedP(X307)
| ~ ssItem(X308)
| ~ ssItem(X309)
| ~ ssList(X310)
| ~ ssList(X311)
| ~ ssList(X312)
| app(app(X310,cons(X308,X311)),cons(X309,X312)) != X307
| lt(X308,X309)
| ~ ssList(X307) )
& ( ssItem(esk30_1(X307))
| strictorderedP(X307)
| ~ ssList(X307) )
& ( ssItem(esk31_1(X307))
| strictorderedP(X307)
| ~ ssList(X307) )
& ( ssList(esk32_1(X307))
| strictorderedP(X307)
| ~ ssList(X307) )
& ( ssList(esk33_1(X307))
| strictorderedP(X307)
| ~ ssList(X307) )
& ( ssList(esk34_1(X307))
| strictorderedP(X307)
| ~ ssList(X307) )
& ( app(app(esk32_1(X307),cons(esk30_1(X307),esk33_1(X307))),cons(esk31_1(X307),esk34_1(X307))) = X307
| strictorderedP(X307)
| ~ ssList(X307) )
& ( ~ lt(esk30_1(X307),esk31_1(X307))
| strictorderedP(X307)
| ~ ssList(X307) ) ),
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,
! [X296,X297,X298,X299,X300,X301] :
( ( ~ totalorderedP(X296)
| ~ ssItem(X297)
| ~ ssItem(X298)
| ~ ssList(X299)
| ~ ssList(X300)
| ~ ssList(X301)
| app(app(X299,cons(X297,X300)),cons(X298,X301)) != X296
| leq(X297,X298)
| ~ ssList(X296) )
& ( ssItem(esk25_1(X296))
| totalorderedP(X296)
| ~ ssList(X296) )
& ( ssItem(esk26_1(X296))
| totalorderedP(X296)
| ~ ssList(X296) )
& ( ssList(esk27_1(X296))
| totalorderedP(X296)
| ~ ssList(X296) )
& ( ssList(esk28_1(X296))
| totalorderedP(X296)
| ~ ssList(X296) )
& ( ssList(esk29_1(X296))
| totalorderedP(X296)
| ~ ssList(X296) )
& ( app(app(esk27_1(X296),cons(esk25_1(X296),esk28_1(X296))),cons(esk26_1(X296),esk29_1(X296))) = X296
| totalorderedP(X296)
| ~ ssList(X296) )
& ( ~ leq(esk25_1(X296),esk26_1(X296))
| totalorderedP(X296)
| ~ ssList(X296) ) ),
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,
! [X318,X319,X320,X321,X322,X323] :
( ( ~ duplicatefreeP(X318)
| ~ ssItem(X319)
| ~ ssItem(X320)
| ~ ssList(X321)
| ~ ssList(X322)
| ~ ssList(X323)
| app(app(X321,cons(X319,X322)),cons(X320,X323)) != X318
| X319 != X320
| ~ ssList(X318) )
& ( ssItem(esk35_1(X318))
| duplicatefreeP(X318)
| ~ ssList(X318) )
& ( ssItem(esk36_1(X318))
| duplicatefreeP(X318)
| ~ ssList(X318) )
& ( ssList(esk37_1(X318))
| duplicatefreeP(X318)
| ~ ssList(X318) )
& ( ssList(esk38_1(X318))
| duplicatefreeP(X318)
| ~ ssList(X318) )
& ( ssList(esk39_1(X318))
| duplicatefreeP(X318)
| ~ ssList(X318) )
& ( app(app(esk37_1(X318),cons(esk35_1(X318),esk38_1(X318))),cons(esk36_1(X318),esk39_1(X318))) = X318
| duplicatefreeP(X318)
| ~ ssList(X318) )
& ( esk35_1(X318) = esk36_1(X318)
| duplicatefreeP(X318)
| ~ ssList(X318) ) ),
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,
! [X329,X330,X331,X332,X333] :
( ( ~ equalelemsP(X329)
| ~ ssItem(X330)
| ~ ssItem(X331)
| ~ ssList(X332)
| ~ ssList(X333)
| app(X332,cons(X330,cons(X331,X333))) != X329
| X330 = X331
| ~ ssList(X329) )
& ( ssItem(esk40_1(X329))
| equalelemsP(X329)
| ~ ssList(X329) )
& ( ssItem(esk41_1(X329))
| equalelemsP(X329)
| ~ ssList(X329) )
& ( ssList(esk42_1(X329))
| equalelemsP(X329)
| ~ ssList(X329) )
& ( ssList(esk43_1(X329))
| equalelemsP(X329)
| ~ ssList(X329) )
& ( app(esk42_1(X329),cons(esk40_1(X329),cons(esk41_1(X329),esk43_1(X329)))) = X329
| equalelemsP(X329)
| ~ ssList(X329) )
& ( esk40_1(X329) != esk41_1(X329)
| equalelemsP(X329)
| ~ ssList(X329) ) ),
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,
! [X257,X258,X261,X262] :
( ( ssList(esk8_2(X257,X258))
| ~ segmentP(X257,X258)
| ~ ssList(X258)
| ~ ssList(X257) )
& ( ssList(esk9_2(X257,X258))
| ~ segmentP(X257,X258)
| ~ ssList(X258)
| ~ ssList(X257) )
& ( app(app(esk8_2(X257,X258),X258),esk9_2(X257,X258)) = X257
| ~ segmentP(X257,X258)
| ~ ssList(X258)
| ~ ssList(X257) )
& ( ~ ssList(X261)
| ~ ssList(X262)
| app(app(X261,X258),X262) != X257
| segmentP(X257,X258)
| ~ ssList(X258)
| ~ ssList(X257) ) ),
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,
! [X240,X241,X244,X245] :
( ( ssList(esk3_2(X240,X241))
| ~ memberP(X240,X241)
| ~ ssItem(X241)
| ~ ssList(X240) )
& ( ssList(esk4_2(X240,X241))
| ~ memberP(X240,X241)
| ~ ssItem(X241)
| ~ ssList(X240) )
& ( app(esk3_2(X240,X241),cons(X241,esk4_2(X240,X241))) = X240
| ~ memberP(X240,X241)
| ~ ssItem(X241)
| ~ ssList(X240) )
& ( ~ ssList(X244)
| ~ ssList(X245)
| app(X244,cons(X241,X245)) != X240
| memberP(X240,X241)
| ~ ssItem(X241)
| ~ ssList(X240) ) ),
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,
! [X396,X397,X398,X399] :
( ( X396 = X397
| ~ frontsegP(cons(X396,X398),cons(X397,X399))
| ~ ssList(X399)
| ~ ssList(X398)
| ~ ssItem(X397)
| ~ ssItem(X396) )
& ( frontsegP(X398,X399)
| ~ frontsegP(cons(X396,X398),cons(X397,X399))
| ~ ssList(X399)
| ~ ssList(X398)
| ~ ssItem(X397)
| ~ ssItem(X396) )
& ( X396 != X397
| ~ frontsegP(X398,X399)
| frontsegP(cons(X396,X398),cons(X397,X399))
| ~ ssList(X399)
| ~ ssList(X398)
| ~ ssItem(X397)
| ~ ssItem(X396) ) ),
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,
! [X419,X420,X421,X422] :
( ~ ssList(X419)
| ~ ssList(X420)
| ~ ssList(X421)
| ~ ssList(X422)
| ~ segmentP(X419,X420)
| segmentP(app(app(X421,X419),X422),X420) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax56])])]) ).
fof(i_0_113,plain,
! [X380,X381,X382] :
( ( ~ memberP(app(X381,X382),X380)
| memberP(X381,X380)
| memberP(X382,X380)
| ~ ssList(X382)
| ~ ssList(X381)
| ~ ssItem(X380) )
& ( ~ memberP(X381,X380)
| memberP(app(X381,X382),X380)
| ~ ssList(X382)
| ~ ssList(X381)
| ~ ssItem(X380) )
& ( ~ memberP(X382,X380)
| memberP(app(X381,X382),X380)
| ~ ssList(X382)
| ~ ssList(X381)
| ~ ssItem(X380) ) ),
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,
! [X383,X384,X385] :
( ( ~ memberP(cons(X384,X385),X383)
| X383 = X384
| memberP(X385,X383)
| ~ ssList(X385)
| ~ ssItem(X384)
| ~ ssItem(X383) )
& ( X383 != X384
| memberP(cons(X384,X385),X383)
| ~ ssList(X385)
| ~ ssItem(X384)
| ~ ssItem(X383) )
& ( ~ memberP(X385,X383)
| memberP(cons(X384,X385),X383)
| ~ ssList(X385)
| ~ ssItem(X384)
| ~ ssItem(X383) ) ),
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,
! [X451,X452,X453] :
( ~ ssList(X451)
| ~ ssList(X452)
| ~ ssList(X453)
| app(app(X451,X452),X453) = app(X451,app(X452,X453)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).
fof(i_0_116,plain,
! [X361,X362,X363] :
( ~ ssList(X361)
| ~ ssList(X362)
| ~ ssItem(X363)
| cons(X363,app(X362,X361)) = app(cons(X363,X362),X361) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])]) ).
fof(i_0_117,plain,
! [X432,X433] :
( ( nil != X433
| nil = X433
| ~ strictorderedP(cons(X432,X433))
| ~ ssList(X433)
| ~ ssItem(X432) )
& ( strictorderedP(X433)
| nil = X433
| ~ strictorderedP(cons(X432,X433))
| ~ ssList(X433)
| ~ ssItem(X432) )
& ( lt(X432,hd(X433))
| nil = X433
| ~ strictorderedP(cons(X432,X433))
| ~ ssList(X433)
| ~ ssItem(X432) )
& ( nil != X433
| strictorderedP(cons(X432,X433))
| ~ ssList(X433)
| ~ ssItem(X432) )
& ( nil = X433
| ~ strictorderedP(X433)
| ~ lt(X432,hd(X433))
| strictorderedP(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)],[ax70])])])]) ).
fof(i_0_118,plain,
! [X429,X430] :
( ( nil != X430
| nil = X430
| ~ totalorderedP(cons(X429,X430))
| ~ ssList(X430)
| ~ ssItem(X429) )
& ( totalorderedP(X430)
| nil = X430
| ~ totalorderedP(cons(X429,X430))
| ~ ssList(X430)
| ~ ssItem(X429) )
& ( leq(X429,hd(X430))
| nil = X430
| ~ totalorderedP(cons(X429,X430))
| ~ ssList(X430)
| ~ ssItem(X429) )
& ( nil != X430
| totalorderedP(cons(X429,X430))
| ~ ssList(X430)
| ~ ssItem(X429) )
& ( nil = X430
| ~ totalorderedP(X430)
| ~ leq(X429,hd(X430))
| totalorderedP(cons(X429,X430))
| ~ ssList(X430)
| ~ ssItem(X429) ) ),
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,
! [X408,X409,X410] :
( ~ ssList(X408)
| ~ ssList(X409)
| ~ ssList(X410)
| ~ rearsegP(X408,X409)
| rearsegP(app(X410,X408),X409) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax50])])]) ).
fof(i_0_120,plain,
! [X393,X394,X395] :
( ~ ssList(X393)
| ~ ssList(X394)
| ~ ssList(X395)
| ~ frontsegP(X393,X394)
| frontsegP(app(X393,X395),X394) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax43])])]) ).
fof(i_0_121,plain,
! [X477,X478,X479] :
( ~ ssItem(X477)
| ~ ssItem(X478)
| ~ ssItem(X479)
| ~ gt(X477,X478)
| ~ gt(X478,X479)
| gt(X477,X479) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax95])])]) ).
fof(i_0_122,plain,
! [X463,X464,X465] :
( ~ ssItem(X463)
| ~ ssItem(X464)
| ~ ssItem(X465)
| ~ geq(X463,X464)
| ~ geq(X464,X465)
| geq(X463,X465) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax88])])]) ).
fof(i_0_123,plain,
! [X375,X376,X377] :
( ~ ssItem(X375)
| ~ ssItem(X376)
| ~ ssItem(X377)
| ~ lt(X375,X376)
| ~ lt(X376,X377)
| lt(X375,X377) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax34])])]) ).
fof(i_0_124,plain,
! [X468,X469,X470] :
( ~ ssItem(X468)
| ~ ssItem(X469)
| ~ ssItem(X470)
| ~ leq(X468,X469)
| ~ lt(X469,X470)
| lt(X468,X470) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax91])])]) ).
fof(i_0_125,plain,
! [X367,X368,X369] :
( ~ ssItem(X367)
| ~ ssItem(X368)
| ~ ssItem(X369)
| ~ leq(X367,X368)
| ~ leq(X368,X369)
| leq(X367,X369) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax30])])]) ).
fof(i_0_126,plain,
! [X413,X414,X415] :
( ~ ssList(X413)
| ~ ssList(X414)
| ~ ssList(X415)
| ~ segmentP(X413,X414)
| ~ segmentP(X414,X415)
| segmentP(X413,X415) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax53])])]) ).
fof(i_0_127,plain,
! [X402,X403,X404] :
( ~ ssList(X402)
| ~ ssList(X403)
| ~ ssList(X404)
| ~ rearsegP(X402,X403)
| ~ rearsegP(X403,X404)
| rearsegP(X402,X404) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax47])])]) ).
fof(i_0_128,plain,
! [X387,X388,X389] :
( ~ ssList(X387)
| ~ ssList(X388)
| ~ ssList(X389)
| ~ frontsegP(X387,X388)
| ~ frontsegP(X388,X389)
| frontsegP(X387,X389) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax40])])]) ).
fof(i_0_129,plain,
! [X253,X254,X256] :
( ( ssList(esk7_2(X253,X254))
| ~ rearsegP(X253,X254)
| ~ ssList(X254)
| ~ ssList(X253) )
& ( app(esk7_2(X253,X254),X254) = X253
| ~ rearsegP(X253,X254)
| ~ ssList(X254)
| ~ ssList(X253) )
& ( ~ ssList(X256)
| app(X256,X254) != X253
| rearsegP(X253,X254)
| ~ ssList(X254)
| ~ ssList(X253) ) ),
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,
! [X249,X250,X252] :
( ( ssList(esk6_2(X249,X250))
| ~ frontsegP(X249,X250)
| ~ ssList(X250)
| ~ ssList(X249) )
& ( app(X250,esk6_2(X249,X250)) = X249
| ~ frontsegP(X249,X250)
| ~ ssList(X250)
| ~ ssList(X249) )
& ( ~ ssList(X252)
| app(X250,X252) != X249
| frontsegP(X249,X250)
| ~ ssList(X250)
| ~ 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)],[ax5])])])])]) ).
fof(i_0_131,plain,
! [X344,X345,X346,X347] :
( ( X346 = X347
| cons(X346,X344) != cons(X347,X345)
| ~ ssItem(X347)
| ~ ssItem(X346)
| ~ ssList(X345)
| ~ ssList(X344) )
& ( X345 = X344
| cons(X346,X344) != cons(X347,X345)
| ~ ssItem(X347)
| ~ ssItem(X346)
| ~ ssList(X345)
| ~ ssList(X344) ) ),
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,
! [X443,X444,X445] :
( ~ ssList(X443)
| ~ ssList(X444)
| ~ ssList(X445)
| app(X445,X444) != app(X443,X444)
| X445 = X443 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax79])])]) ).
fof(i_0_133,plain,
! [X446,X447,X448] :
( ~ ssList(X446)
| ~ ssList(X447)
| ~ ssList(X448)
| app(X447,X448) != app(X447,X446)
| X448 = X446 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax80])])]) ).
fof(i_0_134,plain,
! [X459,X460] :
( ~ ssList(X459)
| ~ ssList(X460)
| nil = X459
| tl(app(X459,X460)) = app(tl(X459),X460) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax86])])]) ).
fof(i_0_135,plain,
! [X449,X450] :
( ~ ssList(X449)
| ~ ssItem(X450)
| cons(X450,X449) = app(cons(X450,nil),X449) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])]) ).
fof(i_0_136,plain,
! [X416,X417] :
( ~ ssList(X416)
| ~ ssList(X417)
| ~ segmentP(X416,X417)
| ~ segmentP(X417,X416)
| X416 = X417 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax54])])]) ).
fof(i_0_137,plain,
! [X405,X406] :
( ~ ssList(X405)
| ~ ssList(X406)
| ~ rearsegP(X405,X406)
| ~ rearsegP(X406,X405)
| X405 = X406 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax48])])]) ).
fof(i_0_138,plain,
! [X390,X391] :
( ~ ssList(X390)
| ~ ssList(X391)
| ~ frontsegP(X390,X391)
| ~ frontsegP(X391,X390)
| X390 = X391 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax41])])]) ).
fof(i_0_139,plain,
! [X461,X462] :
( ~ ssItem(X461)
| ~ ssItem(X462)
| ~ geq(X461,X462)
| ~ geq(X462,X461)
| X461 = X462 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax87])])]) ).
fof(i_0_140,plain,
! [X365,X366] :
( ~ ssItem(X365)
| ~ ssItem(X366)
| ~ leq(X365,X366)
| ~ leq(X366,X365)
| X365 = X366 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax29])])]) ).
fof(i_0_141,plain,
! [X475,X476] :
( ~ ssItem(X475)
| ~ ssItem(X476)
| ~ gt(X475,X476)
| ~ gt(X476,X475) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_97])])]) ).
fof(i_0_142,plain,
! [X373,X374] :
( ~ ssItem(X373)
| ~ ssItem(X374)
| ~ lt(X373,X374)
| ~ lt(X374,X373) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_98])])]) ).
fof(i_0_143,plain,
! [X473,X474] :
( ( X473 != X474
| ~ lt(X473,X474)
| ~ ssItem(X474)
| ~ ssItem(X473) )
& ( leq(X473,X474)
| ~ lt(X473,X474)
| ~ ssItem(X474)
| ~ ssItem(X473) )
& ( X473 = X474
| ~ leq(X473,X474)
| lt(X473,X474)
| ~ ssItem(X474)
| ~ ssItem(X473) ) ),
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,
! [X471,X472] :
( ~ ssItem(X471)
| ~ ssItem(X472)
| ~ leq(X471,X472)
| X471 = X472
| lt(X471,X472) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax92])])]) ).
fof(i_0_145,plain,
! [X378,X379] :
( ( ~ gt(X378,X379)
| lt(X379,X378)
| ~ ssItem(X379)
| ~ ssItem(X378) )
& ( ~ lt(X379,X378)
| gt(X378,X379)
| ~ ssItem(X379)
| ~ ssItem(X378) ) ),
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,
! [X371,X372] :
( ( ~ geq(X371,X372)
| leq(X372,X371)
| ~ ssItem(X372)
| ~ ssItem(X371) )
& ( ~ leq(X372,X371)
| geq(X371,X372)
| ~ ssItem(X372)
| ~ ssItem(X371) ) ),
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,
! [X457,X458] :
( ~ ssList(X457)
| ~ ssList(X458)
| nil = X457
| hd(app(X457,X458)) = hd(X457) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax85])])]) ).
fof(i_0_148,plain,
! [X440,X441] :
( ~ ssList(X440)
| ~ ssList(X441)
| nil = X441
| nil = X440
| hd(X441) != hd(X440)
| tl(X441) != tl(X440)
| X441 = X440 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax77])])]) ).
fof(i_0_149,plain,
! [X357,X358] :
( ~ ssList(X357)
| ~ ssItem(X358)
| tl(cons(X358,X357)) = X357 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])])]) ).
fof(i_0_150,plain,
! [X354,X355] :
( ~ ssList(X354)
| ~ ssItem(X355)
| hd(cons(X355,X354)) = X355 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])]) ).
fof(i_0_151,plain,
! [X359,X360] :
( ~ ssList(X359)
| ~ ssList(X360)
| ssList(app(X359,X360)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).
fof(i_0_152,plain,
! [X340,X341] :
( ~ ssList(X340)
| ~ ssItem(X341)
| ssList(cons(X341,X340)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).
fof(i_0_153,plain,
! [X338,X339] :
( ( ~ neq(X338,X339)
| X338 != X339
| ~ ssList(X339)
| ~ ssList(X338) )
& ( X338 = X339
| neq(X338,X339)
| ~ ssList(X339)
| ~ ssList(X338) ) ),
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,
! [X236,X237] :
( ( ~ neq(X236,X237)
| X236 != X237
| ~ ssItem(X237)
| ~ ssItem(X236) )
& ( X236 = X237
| neq(X236,X237)
| ~ ssItem(X237)
| ~ ssItem(X236) ) ),
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,
! [X246,X248] :
( ( ssItem(esk5_1(X246))
| ~ singletonP(X246)
| ~ ssList(X246) )
& ( cons(esk5_1(X246),nil) = X246
| ~ singletonP(X246)
| ~ ssList(X246) )
& ( ~ ssItem(X248)
| cons(X248,nil) != X246
| singletonP(X246)
| ~ ssList(X246) ) ),
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,
! [X454,X455] :
( ( nil = X455
| nil != app(X454,X455)
| ~ ssList(X455)
| ~ ssList(X454) )
& ( nil = X454
| nil != app(X454,X455)
| ~ ssList(X455)
| ~ ssList(X454) )
& ( nil != X455
| nil != X454
| nil = app(X454,X455)
| ~ ssList(X455)
| ~ ssList(X454) ) ),
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,
! [X342,X343] :
( ~ ssList(X342)
| ~ ssItem(X343)
| cons(X343,X342) != X342 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax18])])]) ).
fof(i_0_158,plain,
! [X351,X352] :
( ~ ssList(X351)
| ~ ssItem(X352)
| nil != cons(X352,X351) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])]) ).
fof(i_0_159,plain,
! [X348] :
( ( ssList(esk44_1(X348))
| nil = X348
| ~ ssList(X348) )
& ( ssItem(esk45_1(X348))
| nil = X348
| ~ ssList(X348) )
& ( cons(esk45_1(X348),esk44_1(X348)) = X348
| nil = X348
| ~ ssList(X348) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax20])])])]) ).
fof(i_0_160,plain,
! [X442] :
( ~ ssList(X442)
| nil = X442
| cons(hd(X442),tl(X442)) = X442 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax78])]) ).
fof(i_0_161,plain,
! [X435] :
( ~ ssItem(X435)
| equalelemsP(cons(X435,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax73])]) ).
fof(i_0_162,plain,
! [X434] :
( ~ ssItem(X434)
| duplicatefreeP(cons(X434,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax71])]) ).
fof(i_0_163,plain,
! [X431] :
( ~ ssItem(X431)
| strictorderedP(cons(X431,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax68])]) ).
fof(i_0_164,plain,
! [X428] :
( ~ ssItem(X428)
| totalorderedP(cons(X428,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax65])]) ).
fof(i_0_165,plain,
! [X427] :
( ~ ssItem(X427)
| strictorderP(cons(X427,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax63])]) ).
fof(i_0_166,plain,
! [X426] :
( ~ ssItem(X426)
| totalorderP(cons(X426,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax61])]) ).
fof(i_0_167,plain,
! [X425] :
( ~ ssItem(X425)
| cyclefreeP(cons(X425,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax59])]) ).
fof(i_0_168,plain,
! [X467] :
( ~ ssItem(X467)
| ~ lt(X467,X467) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_99])]) ).
fof(i_0_169,plain,
! [X424] :
( ( ~ segmentP(nil,X424)
| nil = X424
| ~ ssList(X424) )
& ( nil != X424
| segmentP(nil,X424)
| ~ ssList(X424) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax58])])]) ).
fof(i_0_170,plain,
! [X412] :
( ( ~ rearsegP(nil,X412)
| nil = X412
| ~ ssList(X412) )
& ( nil != X412
| rearsegP(nil,X412)
| ~ ssList(X412) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax52])])]) ).
fof(i_0_171,plain,
! [X401] :
( ( ~ frontsegP(nil,X401)
| nil = X401
| ~ ssList(X401) )
& ( nil != X401
| frontsegP(nil,X401)
| ~ ssList(X401) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax46])])]) ).
fof(i_0_172,plain,
! [X386] :
( ~ ssItem(X386)
| ~ memberP(nil,X386) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_100])]) ).
fof(i_0_173,plain,
! [X466] :
( ~ ssItem(X466)
| geq(X466,X466) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax89])]) ).
fof(i_0_174,plain,
! [X370] :
( ~ ssItem(X370)
| leq(X370,X370) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax31])]) ).
fof(i_0_175,plain,
! [X418] :
( ~ ssList(X418)
| segmentP(X418,X418) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax55])]) ).
fof(i_0_176,plain,
! [X407] :
( ~ ssList(X407)
| rearsegP(X407,X407) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax49])]) ).
fof(i_0_177,plain,
! [X392] :
( ~ ssList(X392)
| frontsegP(X392,X392) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax42])]) ).
fof(i_0_178,plain,
! [X364] :
( ~ ssList(X364)
| app(nil,X364) = X364 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).
fof(i_0_179,plain,
! [X456] :
( ~ ssList(X456)
| app(X456,nil) = X456 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).
fof(i_0_180,plain,
! [X423] :
( ~ ssList(X423)
| segmentP(X423,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])]) ).
fof(i_0_181,plain,
! [X411] :
( ~ ssList(X411)
| rearsegP(X411,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax51])]) ).
fof(i_0_182,plain,
! [X400] :
( ~ ssList(X400)
| frontsegP(X400,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax45])]) ).
fof(i_0_183,plain,
! [X438] :
( ( ssList(esk47_1(X438))
| nil = X438
| ~ ssList(X438) )
& ( tl(X438) = esk47_1(X438)
| nil = X438
| ~ ssList(X438) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax76])])])]) ).
fof(i_0_184,plain,
! [X356] :
( ~ ssList(X356)
| nil = X356
| ssList(tl(X356)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax24])]) ).
fof(i_0_185,plain,
! [X436] :
( ( ssItem(esk46_1(X436))
| nil = X436
| ~ ssList(X436) )
& ( hd(X436) = esk46_1(X436)
| nil = X436
| ~ ssList(X436) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax75])])])]) ).
fof(i_0_186,plain,
! [X353] :
( ~ ssList(X353)
| nil = X353
| ssItem(hd(X353)) ),
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,
( ~ leq(X1,esk52_3(X1,X2,X3))
| ~ ssList(X3)
| app(app(X2,cons(X1,nil)),X3) != esk48_0
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_190,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_191,negated_conjecture,
( lt(X1,esk52_3(X1,X2,X3))
| ~ ssList(X3)
| app(app(X2,cons(X1,nil)),X3) != esk48_0
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_192,negated_conjecture,
( memberP(X1,esk52_3(X2,X1,X3))
| ~ ssList(X3)
| app(app(X1,cons(X2,nil)),X3) != esk48_0
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_193,negated_conjecture,
( memberP(X1,esk52_3(X2,X3,X1))
| ~ ssList(X1)
| app(app(X3,cons(X2,nil)),X1) != esk48_0
| ~ ssList(X3)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_194,negated_conjecture,
( ssItem(esk52_3(X1,X2,X3))
| ~ ssList(X3)
| app(app(X2,cons(X1,nil)),X3) != esk48_0
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_195,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_196,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_197,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_198,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_199,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_200,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_201,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_202,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_203,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_204,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_205,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_206,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_207,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_208,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_209,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_210,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_211,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_212,negated_conjecture,
( ~ ssItem(X1)
| ~ ssList(X2)
| app(X2,cons(X1,nil)) != esk53_0
| ~ ssList(X3)
| app(cons(X1,nil),X3) != esk50_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_213,negated_conjecture,
( ~ ssItem(X1)
| ~ ssList(X2)
| app(cons(X1,nil),X2) != esk54_0
| ~ ssList(X3)
| app(X3,cons(X1,nil)) != esk50_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_214,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_215,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_216,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_217,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_218,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_219,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_220,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_221,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_222,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_223,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_224,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_225,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_226,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_227,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_228,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_229,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_230,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_231,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_232,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_233,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_234,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_235,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_236,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_237,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_238,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_239,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_240,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_241,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_242,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_243,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_244,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_245,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_246,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_247,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_248,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_249,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_250,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_251,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_252,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_253,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_254,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_255,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_256,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_257,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_258,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_259,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_260,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_261,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_262,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_263,plain,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ gt(X1,X2)
| ~ gt(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_264,plain,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ lt(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_142]),
[final] ).
cnf(i_0_265,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_266,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_267,plain,
( strictorderedP(X1)
| ~ lt(esk30_1(X1),esk31_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_268,plain,
( totalorderedP(X1)
| ~ leq(esk25_1(X1),esk26_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_269,plain,
( strictorderP(X1)
| ~ lt(esk21_1(X1),esk20_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_270,plain,
( strictorderP(X1)
| ~ lt(esk20_1(X1),esk21_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_271,plain,
( totalorderP(X1)
| ~ leq(esk16_1(X1),esk15_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_272,plain,
( totalorderP(X1)
| ~ leq(esk15_1(X1),esk16_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_273,plain,
( gt(X2,X1)
| ~ lt(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_274,plain,
( geq(X2,X1)
| ~ leq(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_275,plain,
( lt(X2,X1)
| ~ gt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_276,plain,
( leq(X1,X2)
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_277,plain,
( leq(X2,X1)
| ~ geq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_278,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_279,plain,
( strictorderedP(cons(X2,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_280,plain,
( totalorderedP(cons(X2,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_281,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_282,plain,
( tl(cons(X2,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_283,plain,
( hd(cons(X2,X1)) = X2
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_150]),
[final] ).
cnf(i_0_284,plain,
( ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_285,plain,
( ssList(cons(X2,X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_152]),
[final] ).
cnf(i_0_286,plain,
( ~ neq(X1,X2)
| X1 != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_153]),
[final] ).
cnf(i_0_287,plain,
( X1 != X2
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_288,plain,
( ~ neq(X1,X2)
| X1 != X2
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_154]),
[final] ).
cnf(i_0_289,plain,
( singletonP(X2)
| ~ ssItem(X1)
| cons(X1,nil) != X2
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_290,plain,
( nil = X1
| nil != app(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_156]),
[final] ).
cnf(i_0_291,plain,
( nil = X1
| nil != app(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_156]),
[final] ).
cnf(i_0_292,plain,
( leq(esk11_1(X1),esk10_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_293,plain,
( leq(esk10_1(X1),esk11_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_294,plain,
( ~ ssList(X1)
| ~ ssItem(X2)
| cons(X2,X1) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_157]),
[final] ).
cnf(i_0_295,plain,
( ~ ssList(X1)
| ~ ssItem(X2)
| nil != cons(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_158]),
[final] ).
cnf(i_0_296,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_297,plain,
( nil = X1
| cons(hd(X1),tl(X1)) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_160]),
[final] ).
cnf(i_0_298,plain,
( equalelemsP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_161]),
[final] ).
cnf(i_0_299,plain,
( duplicatefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_162]),
[final] ).
cnf(i_0_300,plain,
( strictorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_163]),
[final] ).
cnf(i_0_301,plain,
( totalorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_164]),
[final] ).
cnf(i_0_302,plain,
( strictorderP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_165]),
[final] ).
cnf(i_0_303,plain,
( totalorderP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_166]),
[final] ).
cnf(i_0_304,plain,
( cyclefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_167]),
[final] ).
cnf(i_0_305,plain,
( cons(esk5_1(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_306,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_307,negated_conjecture,
app(app(esk53_0,esk50_0),esk54_0) = esk51_0,
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_308,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_153]),
[final] ).
cnf(i_0_309,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_154]),
[final] ).
cnf(i_0_310,plain,
( ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(split_conjunct,[status(thm)],[i_0_168]),
[final] ).
cnf(i_0_311,plain,
( nil = X1
| ~ segmentP(nil,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_169]),
[final] ).
cnf(i_0_312,plain,
( nil = X1
| ~ rearsegP(nil,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_170]),
[final] ).
cnf(i_0_313,plain,
( nil = X1
| ~ frontsegP(nil,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_171]),
[final] ).
cnf(i_0_314,plain,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
inference(split_conjunct,[status(thm)],[i_0_172]),
[final] ).
cnf(i_0_315,plain,
( ssItem(esk5_1(X1))
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_316,plain,
( equalelemsP(X1)
| esk40_1(X1) != esk41_1(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_317,plain,
( segmentP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_169]),
[final] ).
cnf(i_0_318,plain,
( rearsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_170]),
[final] ).
cnf(i_0_319,plain,
( frontsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_171]),
[final] ).
cnf(i_0_320,plain,
( ssList(esk43_1(X1))
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_321,plain,
( ssList(esk42_1(X1))
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_322,plain,
( ssItem(esk41_1(X1))
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_323,plain,
( ssItem(esk40_1(X1))
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_324,plain,
( ssList(esk39_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_325,plain,
( ssList(esk38_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_326,plain,
( ssList(esk37_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_327,plain,
( ssItem(esk36_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_328,plain,
( ssItem(esk35_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_329,plain,
( ssList(esk34_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_330,plain,
( ssList(esk33_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_331,plain,
( ssList(esk32_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_332,plain,
( ssItem(esk31_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_333,plain,
( ssItem(esk30_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_334,plain,
( ssList(esk29_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_335,plain,
( ssList(esk28_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_336,plain,
( ssList(esk27_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_337,plain,
( ssItem(esk26_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_338,plain,
( ssItem(esk25_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_339,plain,
( ssList(esk24_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_340,plain,
( ssList(esk23_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_341,plain,
( ssList(esk22_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_342,plain,
( ssItem(esk21_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_343,plain,
( ssItem(esk20_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_344,plain,
( ssList(esk19_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_345,plain,
( ssList(esk18_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_346,plain,
( ssList(esk17_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_347,plain,
( ssItem(esk16_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_348,plain,
( ssItem(esk15_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_349,plain,
( ssList(esk14_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_350,plain,
( ssList(esk13_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_351,plain,
( ssList(esk12_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_352,plain,
( ssItem(esk11_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_353,plain,
( ssItem(esk10_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_354,plain,
( geq(X1,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_173]),
[final] ).
cnf(i_0_355,plain,
( leq(X1,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_174]),
[final] ).
cnf(i_0_356,plain,
( segmentP(X1,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_175]),
[final] ).
cnf(i_0_357,plain,
( rearsegP(X1,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_176]),
[final] ).
cnf(i_0_358,plain,
( frontsegP(X1,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_177]),
[final] ).
cnf(i_0_359,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_178]),
[final] ).
cnf(i_0_360,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_179]),
[final] ).
cnf(i_0_361,plain,
( esk35_1(X1) = esk36_1(X1)
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_362,plain,
( segmentP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_180]),
[final] ).
cnf(i_0_363,plain,
( rearsegP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_181]),
[final] ).
cnf(i_0_364,plain,
( frontsegP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_182]),
[final] ).
cnf(i_0_365,plain,
( ssList(esk47_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_183]),
[final] ).
cnf(i_0_366,plain,
( ssList(esk44_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_367,plain,
( nil = X1
| ssList(tl(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_184]),
[final] ).
cnf(i_0_368,plain,
( ssItem(esk46_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_185]),
[final] ).
cnf(i_0_369,plain,
( ssItem(esk45_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_370,plain,
( nil = X1
| ssItem(hd(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_186]),
[final] ).
cnf(i_0_371,plain,
( tl(X1) = esk47_1(X1)
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_183]),
[final] ).
cnf(i_0_372,plain,
( hd(X1) = esk46_1(X1)
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_185]),
[final] ).
cnf(i_0_373,plain,
~ singletonP(nil),
inference(split_conjunct,[status(thm)],[i_0_187]),
[final] ).
cnf(i_0_374,negated_conjecture,
equalelemsP(esk50_0),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_375,plain,
equalelemsP(nil),
inference(split_conjunct,[status(thm)],[ax74]),
[final] ).
cnf(i_0_376,plain,
duplicatefreeP(nil),
inference(split_conjunct,[status(thm)],[ax72]),
[final] ).
cnf(i_0_377,plain,
strictorderedP(nil),
inference(split_conjunct,[status(thm)],[ax69]),
[final] ).
cnf(i_0_378,plain,
totalorderedP(nil),
inference(split_conjunct,[status(thm)],[ax66]),
[final] ).
cnf(i_0_379,plain,
strictorderP(nil),
inference(split_conjunct,[status(thm)],[ax64]),
[final] ).
cnf(i_0_380,plain,
totalorderP(nil),
inference(split_conjunct,[status(thm)],[ax62]),
[final] ).
cnf(i_0_381,plain,
cyclefreeP(nil),
inference(split_conjunct,[status(thm)],[ax60]),
[final] ).
cnf(i_0_382,negated_conjecture,
ssList(esk54_0),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_383,negated_conjecture,
ssList(esk53_0),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_384,negated_conjecture,
ssList(esk51_0),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_385,negated_conjecture,
ssList(esk50_0),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_386,negated_conjecture,
ssList(esk49_0),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_387,negated_conjecture,
ssList(esk48_0),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_388,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]),
[final] ).
cnf(i_0_389,plain,
ssItem(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_390,plain,
ssItem(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_391,negated_conjecture,
( nil = esk51_0
| nil != esk50_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_392,negated_conjecture,
nil != esk48_0,
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_393,plain,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_394,negated_conjecture,
esk49_0 = esk51_0,
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_395,negated_conjecture,
esk48_0 = esk50_0,
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_396,axiom,
X1 = X1 ).
cnf(i_0_397,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_398,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_399,axiom,
( X1 != X2
| app(X1,X3) = app(X2,X3) ) ).
cnf(i_0_400,axiom,
( X1 != X2
| app(X3,X1) = app(X3,X2) ) ).
cnf(i_0_401,axiom,
( X1 != X2
| cons(X1,X3) = cons(X2,X3) ) ).
cnf(i_0_402,axiom,
( X1 != X2
| cons(X3,X1) = cons(X3,X2) ) ).
cnf(i_0_403,axiom,
( X1 != X2
| esk40_1(X1) = esk40_1(X2) ) ).
cnf(i_0_404,axiom,
( X1 != X2
| esk41_1(X1) = esk41_1(X2) ) ).
cnf(i_0_405,axiom,
( X1 != X2
| hd(X1) = hd(X2) ) ).
cnf(i_0_406,axiom,
( X1 != X2
| tl(X1) = tl(X2) ) ).
cnf(i_0_407,axiom,
( X1 != X2
| esk47_1(X1) = esk47_1(X2) ) ).
cnf(i_0_408,axiom,
( X1 != X2
| esk35_1(X1) = esk35_1(X2) ) ).
cnf(i_0_409,axiom,
( X1 != X2
| esk46_1(X1) = esk46_1(X2) ) ).
cnf(i_0_410,axiom,
( X1 != X2
| esk36_1(X1) = esk36_1(X2) ) ).
cnf(i_0_411,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_412,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_413,axiom,
( X1 != X2
| ~ totalorderedP(X1)
| totalorderedP(X2) ) ).
cnf(i_0_414,axiom,
( X1 != X2
| ~ duplicatefreeP(X1)
| duplicatefreeP(X2) ) ).
cnf(i_0_415,axiom,
( X1 != X2
| ~ equalelemsP(X1)
| equalelemsP(X2) ) ).
cnf(i_0_416,axiom,
( X1 != X2
| ~ segmentP(X1,X3)
| segmentP(X2,X3) ) ).
cnf(i_0_417,axiom,
( X1 != X2
| ~ segmentP(X3,X1)
| segmentP(X3,X2) ) ).
cnf(i_0_418,axiom,
( X1 != X2
| ~ frontsegP(X1,X3)
| frontsegP(X2,X3) ) ).
cnf(i_0_419,axiom,
( X1 != X2
| ~ frontsegP(X3,X1)
| frontsegP(X3,X2) ) ).
cnf(i_0_420,axiom,
( X1 != X2
| ~ rearsegP(X1,X3)
| rearsegP(X2,X3) ) ).
cnf(i_0_421,axiom,
( X1 != X2
| ~ rearsegP(X3,X1)
| rearsegP(X3,X2) ) ).
cnf(i_0_422,axiom,
( X1 != X2
| ~ gt(X1,X3)
| gt(X2,X3) ) ).
cnf(i_0_423,axiom,
( X1 != X2
| ~ gt(X3,X1)
| gt(X3,X2) ) ).
cnf(i_0_424,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_425,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_426,axiom,
( X1 != X2
| ~ neq(X1,X3)
| neq(X2,X3) ) ).
cnf(i_0_427,axiom,
( X1 != X2
| ~ neq(X3,X1)
| neq(X3,X2) ) ).
cnf(i_0_428,axiom,
( X1 != X2
| ~ singletonP(X1)
| singletonP(X2) ) ).
cnf(i_0_429,axiom,
( X1 != X2
| ~ ssList(X1)
| ssList(X2) ) ).
cnf(i_0_430,axiom,
( X1 != X2
| ~ ssItem(X1)
| ssItem(X2) ) ).
cnf(i_0_431,axiom,
( X1 != X2
| ~ cyclefreeP(X1)
| cyclefreeP(X2) ) ).
cnf(i_0_432,axiom,
( X1 != X2
| ~ lt(X1,X3)
| lt(X2,X3) ) ).
cnf(i_0_433,axiom,
( X1 != X2
| ~ lt(X3,X1)
| lt(X3,X2) ) ).
cnf(i_0_434,axiom,
( X1 != X2
| ~ memberP(X1,X3)
| memberP(X2,X3) ) ).
cnf(i_0_435,axiom,
( X1 != X2
| ~ memberP(X3,X1)
| memberP(X3,X2) ) ).
cnf(i_0_436,axiom,
( X1 != X2
| ~ strictorderP(X1)
| strictorderP(X2) ) ).
cnf(i_0_437,axiom,
( X1 != X2
| ~ totalorderP(X1)
| totalorderP(X2) ) ).
cnf(i_0_438,axiom,
( X1 != X2
| ~ strictorderedP(X1)
| strictorderedP(X2) ) ).
cnf(i_0_2623,plain,
ssList(cons(esk5_1(app(cons(esk1_0,nil),nil)),esk7_2(esk54_0,esk54_0))),
inference(scs_inference,[],[i_0_1586,i_0_1795,i_0_2505,i_0_2501,i_0_1496,i_0_1923,i_0_2173,i_0_397,i_0_422,i_0_423,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285]) ).
cnf(i_0_2625,plain,
~ segmentP(nil,cons(esk45_1(cons(esk1_0,nil)),esk8_2(esk54_0,esk54_0))),
inference(scs_inference,[],[i_0_1586,i_0_1795,i_0_2505,i_0_2501,i_0_1496,i_0_1923,i_0_2173,i_0_397,i_0_422,i_0_423,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311]) ).
cnf(i_0_2627,plain,
cons(esk1_0,esk50_0) != app(nil,nil),
inference(scs_inference,[],[i_0_1347,i_0_1586,i_0_1795,i_0_2505,i_0_2501,i_0_1496,i_0_1923,i_0_2173,i_0_1534,i_0_397,i_0_422,i_0_423,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434]) ).
cnf(i_0_2628,plain,
~ singletonP(app(nil,app(nil,app(nil,nil)))),
inference(scs_inference,[],[i_0_1347,i_0_1586,i_0_1795,i_0_2505,i_0_2501,i_0_1496,i_0_1923,i_0_2079,i_0_2173,i_0_1534,i_0_2132,i_0_397,i_0_422,i_0_423,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428]) ).
cnf(i_0_2630,plain,
frontsegP(app(cons(esk1_0,nil),nil),nil),
inference(scs_inference,[],[i_0_1347,i_0_1586,i_0_1706,i_0_1795,i_0_2505,i_0_2501,i_0_1496,i_0_1923,i_0_2079,i_0_2173,i_0_1534,i_0_2132,i_0_1567,i_0_397,i_0_422,i_0_423,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_418]) ).
cnf(i_0_2631,plain,
app(esk47_1(esk50_0),esk51_0) != app(esk7_2(nil,nil),nil),
inference(scs_inference,[],[i_0_1347,i_0_1586,i_0_1706,i_0_1795,i_0_2012,i_0_2290,i_0_2505,i_0_2501,i_0_1496,i_0_1923,i_0_2079,i_0_2173,i_0_1534,i_0_2132,i_0_1567,i_0_397,i_0_422,i_0_423,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_418,i_0_420]) ).
cnf(i_0_2632,plain,
rearsegP(app(esk49_0,esk49_0),app(app(esk53_0,esk50_0),esk54_0)),
inference(scs_inference,[],[i_0_1347,i_0_2446,i_0_1586,i_0_1706,i_0_1795,i_0_2012,i_0_2290,i_0_2505,i_0_2501,i_0_1496,i_0_1923,i_0_2079,i_0_2173,i_0_1534,i_0_2132,i_0_1567,i_0_570,i_0_397,i_0_422,i_0_423,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_418,i_0_420,i_0_421]) ).
cnf(i_0_2633,plain,
segmentP(app(app(esk49_0,esk49_0),esk49_0),app(app(esk53_0,esk50_0),esk54_0)),
inference(scs_inference,[],[i_0_1347,i_0_2446,i_0_1586,i_0_1706,i_0_1795,i_0_2533,i_0_2012,i_0_2290,i_0_2505,i_0_2501,i_0_1496,i_0_1923,i_0_2079,i_0_2173,i_0_1534,i_0_2132,i_0_1567,i_0_570,i_0_397,i_0_422,i_0_423,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_418,i_0_420,i_0_421,i_0_417]) ).
cnf(i_0_2634,plain,
frontsegP(app(esk48_0,esk48_0),esk50_0),
inference(scs_inference,[],[i_0_1347,i_0_2446,i_0_2529,i_0_1586,i_0_1706,i_0_1795,i_0_2533,i_0_2012,i_0_2290,i_0_2505,i_0_2501,i_0_1496,i_0_1923,i_0_2079,i_0_2173,i_0_1534,i_0_2132,i_0_1567,i_0_570,i_0_395,i_0_397,i_0_422,i_0_423,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_418,i_0_420,i_0_421,i_0_417,i_0_419]) ).
cnf(i_0_2635,plain,
segmentP(app(app(esk53_0,esk50_0),esk54_0),esk48_0),
inference(scs_inference,[],[i_0_2134,i_0_1347,i_0_2446,i_0_2529,i_0_1586,i_0_1706,i_0_1795,i_0_2533,i_0_2012,i_0_2290,i_0_2505,i_0_2501,i_0_1496,i_0_1923,i_0_2079,i_0_2173,i_0_1534,i_0_2132,i_0_1567,i_0_570,i_0_395,i_0_397,i_0_422,i_0_423,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_418,i_0_420,i_0_421,i_0_417,i_0_419,i_0_416]) ).
cnf(i_0_2636,plain,
ssList(app(esk7_2(esk54_0,esk54_0),esk7_2(esk54_0,esk54_0))),
inference(scs_inference,[],[i_0_2134,i_0_1347,i_0_2446,i_0_2529,i_0_1586,i_0_1706,i_0_1795,i_0_2533,i_0_2012,i_0_2290,i_0_2505,i_0_2501,i_0_1496,i_0_1923,i_0_2079,i_0_2173,i_0_1534,i_0_2132,i_0_1567,i_0_570,i_0_395,i_0_397,i_0_422,i_0_423,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_418,i_0_420,i_0_421,i_0_417,i_0_419,i_0_416,i_0_284]) ).
cnf(i_0_2638,plain,
cons(app(esk48_0,nil),app(app(esk48_0,nil),app(esk48_0,nil))) = cons(esk50_0,app(esk50_0,esk50_0)),
inference(scs_inference,[],[i_0_2134,i_0_1347,i_0_2446,i_0_2529,i_0_1586,i_0_1706,i_0_1795,i_0_1912,i_0_2533,i_0_2012,i_0_2290,i_0_2505,i_0_2501,i_0_1496,i_0_1923,i_0_2463,i_0_2079,i_0_2173,i_0_1534,i_0_2132,i_0_1567,i_0_570,i_0_395,i_0_397,i_0_422,i_0_423,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_418,i_0_420,i_0_421,i_0_417,i_0_419,i_0_416,i_0_284,i_0_398]) ).
cnf(i_0_2640,plain,
cons(X1,app(app(esk48_0,nil),app(esk48_0,nil))) = cons(X1,app(esk50_0,esk50_0)),
inference(rename_variables,[],[i_0_2463]) ).
cnf(i_0_2641,plain,
esk46_1(cons(esk1_0,nil)) != esk2_0,
inference(scs_inference,[],[i_0_2134,i_0_1347,i_0_2446,i_0_2529,i_0_1586,i_0_1706,i_0_1795,i_0_1912,i_0_2533,i_0_2410,i_0_2012,i_0_2290,i_0_2505,i_0_2501,i_0_1496,i_0_1923,i_0_2463,i_0_2079,i_0_2173,i_0_1534,i_0_2132,i_0_1567,i_0_570,i_0_477,i_0_395,i_0_397,i_0_422,i_0_423,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_418,i_0_420,i_0_421,i_0_417,i_0_419,i_0_416,i_0_284,i_0_398,i_0_427]) ).
cnf(i_0_2644,plain,
cons(esk5_1(app(cons(esk1_0,nil),nil)),nil) != tl(cons(esk1_0,nil)),
inference(scs_inference,[],[i_0_2134,i_0_1347,i_0_2446,i_0_2529,i_0_1586,i_0_1706,i_0_1795,i_0_1912,i_0_2533,i_0_1745,i_0_2410,i_0_2012,i_0_2290,i_0_2505,i_0_2501,i_0_1496,i_0_1923,i_0_2487,i_0_2491,i_0_2463,i_0_2079,i_0_2473,i_0_2173,i_0_1534,i_0_1971,i_0_2132,i_0_1567,i_0_570,i_0_477,i_0_395,i_0_397,i_0_422,i_0_423,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_418,i_0_420,i_0_421,i_0_417,i_0_419,i_0_416,i_0_284,i_0_398,i_0_427,i_0_287,i_0_289]) ).
cnf(i_0_2646,plain,
neq(cons(esk45_1(cons(esk1_0,nil)),esk8_2(esk54_0,esk54_0)),esk8_2(esk54_0,esk54_0)),
inference(scs_inference,[],[i_0_2134,i_0_1347,i_0_2446,i_0_2529,i_0_1586,i_0_1706,i_0_1795,i_0_1912,i_0_2533,i_0_1745,i_0_2410,i_0_2012,i_0_2290,i_0_2475,i_0_2505,i_0_2501,i_0_1496,i_0_1923,i_0_2487,i_0_2491,i_0_2463,i_0_2079,i_0_2473,i_0_2173,i_0_1534,i_0_1971,i_0_2132,i_0_1567,i_0_570,i_0_477,i_0_1584,i_0_395,i_0_397,i_0_422,i_0_423,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_418,i_0_420,i_0_421,i_0_417,i_0_419,i_0_416,i_0_284,i_0_398,i_0_427,i_0_287,i_0_289,i_0_308]) ).
cnf(i_0_2652,plain,
frontsegP(app(esk9_2(esk54_0,esk54_0),esk9_2(esk54_0,esk54_0)),esk9_2(esk54_0,esk54_0)),
inference(scs_inference,[],[i_0_2134,i_0_1347,i_0_2446,i_0_2529,i_0_1586,i_0_1706,i_0_1795,i_0_1912,i_0_2533,i_0_1745,i_0_2404,i_0_2410,i_0_2012,i_0_2290,i_0_2475,i_0_2505,i_0_2501,i_0_1496,i_0_1923,i_0_2487,i_0_2491,i_0_2463,i_0_2079,i_0_2473,i_0_2173,i_0_1534,i_0_1971,i_0_2132,i_0_1567,i_0_628,i_0_570,i_0_477,i_0_1582,i_0_1584,i_0_395,i_0_479,i_0_397,i_0_422,i_0_423,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_418,i_0_420,i_0_421,i_0_417,i_0_419,i_0_416,i_0_284,i_0_398,i_0_427,i_0_287,i_0_289,i_0_308,i_0_208,i_0_452,i_0_454]) ).
cnf(i_0_2654,plain,
neq(esk2_0,esk1_0),
inference(scs_inference,[],[i_0_2411,i_0_2134,i_0_1347,i_0_2446,i_0_2529,i_0_1586,i_0_1706,i_0_1795,i_0_1912,i_0_2533,i_0_1745,i_0_2404,i_0_2410,i_0_2012,i_0_2290,i_0_2475,i_0_2505,i_0_2501,i_0_1496,i_0_1923,i_0_2487,i_0_2491,i_0_2463,i_0_2079,i_0_2473,i_0_2173,i_0_1534,i_0_1971,i_0_2132,i_0_1567,i_0_628,i_0_570,i_0_477,i_0_1582,i_0_1584,i_0_395,i_0_390,i_0_479,i_0_389,i_0_397,i_0_422,i_0_423,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_418,i_0_420,i_0_421,i_0_417,i_0_419,i_0_416,i_0_284,i_0_398,i_0_427,i_0_287,i_0_289,i_0_308,i_0_208,i_0_452,i_0_454,i_0_309]) ).
cnf(i_0_2660,plain,
frontsegP(app(esk49_0,esk49_0),esk49_0),
inference(scs_inference,[],[i_0_2411,i_0_2134,i_0_1347,i_0_2446,i_0_2529,i_0_1586,i_0_1706,i_0_1795,i_0_1912,i_0_2533,i_0_1745,i_0_2404,i_0_2410,i_0_2012,i_0_2290,i_0_2475,i_0_2505,i_0_2501,i_0_1496,i_0_1923,i_0_2487,i_0_2491,i_0_2463,i_0_2079,i_0_2473,i_0_2173,i_0_1534,i_0_1971,i_0_2132,i_0_1567,i_0_628,i_0_504,i_0_570,i_0_477,i_0_1582,i_0_1584,i_0_395,i_0_386,i_0_390,i_0_479,i_0_389,i_0_397,i_0_422,i_0_423,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_418,i_0_420,i_0_421,i_0_417,i_0_419,i_0_416,i_0_284,i_0_398,i_0_427,i_0_287,i_0_289,i_0_308,i_0_208,i_0_452,i_0_454,i_0_309,i_0_227,i_0_228,i_0_225]) ).
cnf(i_0_2662,plain,
rearsegP(app(esk51_0,esk51_0),esk51_0),
inference(scs_inference,[],[i_0_2411,i_0_2134,i_0_1347,i_0_2446,i_0_2529,i_0_1586,i_0_1706,i_0_1795,i_0_1912,i_0_2533,i_0_1745,i_0_2404,i_0_2410,i_0_2012,i_0_2290,i_0_2475,i_0_2505,i_0_2501,i_0_1496,i_0_1923,i_0_2487,i_0_2491,i_0_2463,i_0_2079,i_0_2473,i_0_2173,i_0_543,i_0_1534,i_0_1971,i_0_2132,i_0_1567,i_0_628,i_0_504,i_0_570,i_0_477,i_0_1582,i_0_1584,i_0_395,i_0_386,i_0_390,i_0_479,i_0_384,i_0_389,i_0_397,i_0_422,i_0_423,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_418,i_0_420,i_0_421,i_0_417,i_0_419,i_0_416,i_0_284,i_0_398,i_0_427,i_0_287,i_0_289,i_0_308,i_0_208,i_0_452,i_0_454,i_0_309,i_0_227,i_0_228,i_0_225,i_0_224]) ).
cnf(i_0_2670,plain,
ssList(app(cons(esk46_1(esk50_0),nil),app(nil,nil))),
inference(scs_inference,[],[i_0_2411,i_0_2134,i_0_1347,i_0_2446,i_0_2529,i_0_1520,i_0_1586,i_0_1706,i_0_1795,i_0_1912,i_0_2533,i_0_1745,i_0_2404,i_0_2410,i_0_2012,i_0_2290,i_0_2475,i_0_2505,i_0_2501,i_0_1496,i_0_1759,i_0_1923,i_0_2487,i_0_2491,i_0_2463,i_0_2079,i_0_2473,i_0_2173,i_0_543,i_0_1534,i_0_1971,i_0_2132,i_0_1567,i_0_628,i_0_504,i_0_570,i_0_1765,i_0_477,i_0_506,i_0_1582,i_0_1584,i_0_1535,i_0_395,i_0_386,i_0_390,i_0_479,i_0_384,i_0_389,i_0_397,i_0_422,i_0_423,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_418,i_0_420,i_0_421,i_0_417,i_0_419,i_0_416,i_0_284,i_0_398,i_0_427,i_0_287,i_0_289,i_0_308,i_0_208,i_0_452,i_0_454,i_0_309,i_0_227,i_0_228,i_0_225,i_0_224,i_0_211,i_0_190,i_0_325,i_0_429]) ).
cnf(i_0_2671,plain,
neq(app(cons(esk45_1(cons(esk1_0,nil)),nil),esk8_2(esk54_0,esk54_0)),esk8_2(esk54_0,esk54_0)),
inference(scs_inference,[],[i_0_2411,i_0_2134,i_0_1347,i_0_2446,i_0_2529,i_0_1520,i_0_1586,i_0_1706,i_0_1795,i_0_1912,i_0_2533,i_0_1745,i_0_2404,i_0_2410,i_0_2012,i_0_2290,i_0_2475,i_0_2505,i_0_2501,i_0_1496,i_0_1759,i_0_1923,i_0_2487,i_0_2491,i_0_2463,i_0_2079,i_0_2499,i_0_2473,i_0_2173,i_0_543,i_0_1534,i_0_1971,i_0_2132,i_0_1567,i_0_628,i_0_504,i_0_570,i_0_1765,i_0_477,i_0_506,i_0_1582,i_0_1584,i_0_1535,i_0_395,i_0_386,i_0_390,i_0_479,i_0_384,i_0_389,i_0_397,i_0_422,i_0_423,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_418,i_0_420,i_0_421,i_0_417,i_0_419,i_0_416,i_0_284,i_0_398,i_0_427,i_0_287,i_0_289,i_0_308,i_0_208,i_0_452,i_0_454,i_0_309,i_0_227,i_0_228,i_0_225,i_0_224,i_0_211,i_0_190,i_0_325,i_0_429,i_0_426]) ).
cnf(i_0_2678,plain,
ssList(esk9_2(esk49_0,esk48_0)),
inference(scs_inference,[],[i_0_2411,i_0_2134,i_0_1347,i_0_2446,i_0_2529,i_0_1520,i_0_1586,i_0_1706,i_0_1795,i_0_1912,i_0_2533,i_0_1745,i_0_2404,i_0_2410,i_0_2012,i_0_2290,i_0_2475,i_0_2505,i_0_2501,i_0_1496,i_0_1759,i_0_1923,i_0_2487,i_0_2491,i_0_2463,i_0_2079,i_0_2499,i_0_2473,i_0_2173,i_0_543,i_0_1534,i_0_1971,i_0_2132,i_0_1567,i_0_628,i_0_504,i_0_570,i_0_1765,i_0_477,i_0_506,i_0_1582,i_0_1584,i_0_1535,i_0_395,i_0_387,i_0_386,i_0_390,i_0_479,i_0_384,i_0_389,i_0_397,i_0_422,i_0_423,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_418,i_0_420,i_0_421,i_0_417,i_0_419,i_0_416,i_0_284,i_0_398,i_0_427,i_0_287,i_0_289,i_0_308,i_0_208,i_0_452,i_0_454,i_0_309,i_0_227,i_0_228,i_0_225,i_0_224,i_0_211,i_0_190,i_0_325,i_0_429,i_0_426,i_0_251,i_0_252,i_0_221,i_0_247]) ).
cnf(i_0_2680,plain,
ssList(esk8_2(esk49_0,esk48_0)),
inference(scs_inference,[],[i_0_2411,i_0_2134,i_0_1347,i_0_2446,i_0_2529,i_0_1520,i_0_1586,i_0_1706,i_0_1795,i_0_1912,i_0_2533,i_0_1745,i_0_2404,i_0_2410,i_0_2012,i_0_2290,i_0_2475,i_0_2505,i_0_2501,i_0_1496,i_0_1759,i_0_1923,i_0_2487,i_0_2491,i_0_2463,i_0_2079,i_0_2499,i_0_2473,i_0_2173,i_0_543,i_0_1534,i_0_1971,i_0_2132,i_0_1567,i_0_628,i_0_504,i_0_570,i_0_1765,i_0_477,i_0_506,i_0_1582,i_0_1584,i_0_1535,i_0_395,i_0_387,i_0_386,i_0_390,i_0_479,i_0_384,i_0_389,i_0_397,i_0_422,i_0_423,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_418,i_0_420,i_0_421,i_0_417,i_0_419,i_0_416,i_0_284,i_0_398,i_0_427,i_0_287,i_0_289,i_0_308,i_0_208,i_0_452,i_0_454,i_0_309,i_0_227,i_0_228,i_0_225,i_0_224,i_0_211,i_0_190,i_0_325,i_0_429,i_0_426,i_0_251,i_0_252,i_0_221,i_0_247,i_0_248]) ).
cnf(i_0_2682,plain,
ssList(esk7_2(esk51_0,esk49_0)),
inference(scs_inference,[],[i_0_2411,i_0_1839,i_0_2134,i_0_1347,i_0_2446,i_0_2529,i_0_1520,i_0_1586,i_0_1706,i_0_1795,i_0_1912,i_0_2533,i_0_1745,i_0_2404,i_0_2410,i_0_2012,i_0_2290,i_0_2475,i_0_2505,i_0_2501,i_0_1496,i_0_1759,i_0_1923,i_0_2487,i_0_2491,i_0_2463,i_0_2079,i_0_2499,i_0_2473,i_0_2173,i_0_543,i_0_1534,i_0_1971,i_0_2132,i_0_1567,i_0_628,i_0_504,i_0_570,i_0_1765,i_0_477,i_0_506,i_0_1582,i_0_1584,i_0_1535,i_0_395,i_0_387,i_0_386,i_0_390,i_0_479,i_0_384,i_0_389,i_0_397,i_0_422,i_0_423,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_418,i_0_420,i_0_421,i_0_417,i_0_419,i_0_416,i_0_284,i_0_398,i_0_427,i_0_287,i_0_289,i_0_308,i_0_208,i_0_452,i_0_454,i_0_309,i_0_227,i_0_228,i_0_225,i_0_224,i_0_211,i_0_190,i_0_325,i_0_429,i_0_426,i_0_251,i_0_252,i_0_221,i_0_247,i_0_248,i_0_249]) ).
cnf(i_0_2684,plain,
ssList(esk6_2(esk48_0,esk50_0)),
inference(scs_inference,[],[i_0_2411,i_0_1839,i_0_2129,i_0_2134,i_0_1347,i_0_2446,i_0_2529,i_0_1520,i_0_1586,i_0_1706,i_0_1795,i_0_1912,i_0_2533,i_0_1745,i_0_2404,i_0_2410,i_0_2012,i_0_2290,i_0_2475,i_0_2505,i_0_2501,i_0_1496,i_0_1759,i_0_1923,i_0_2487,i_0_2491,i_0_2463,i_0_2079,i_0_2499,i_0_2473,i_0_2173,i_0_543,i_0_1534,i_0_1971,i_0_2132,i_0_1567,i_0_628,i_0_504,i_0_570,i_0_1765,i_0_477,i_0_506,i_0_1582,i_0_1584,i_0_1535,i_0_395,i_0_387,i_0_386,i_0_390,i_0_479,i_0_384,i_0_385,i_0_389,i_0_397,i_0_422,i_0_423,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_418,i_0_420,i_0_421,i_0_417,i_0_419,i_0_416,i_0_284,i_0_398,i_0_427,i_0_287,i_0_289,i_0_308,i_0_208,i_0_452,i_0_454,i_0_309,i_0_227,i_0_228,i_0_225,i_0_224,i_0_211,i_0_190,i_0_325,i_0_429,i_0_426,i_0_251,i_0_252,i_0_221,i_0_247,i_0_248,i_0_249,i_0_250]) ).
cnf(i_0_2686,plain,
app(esk50_0,esk6_2(esk48_0,esk50_0)) = esk48_0,
inference(scs_inference,[],[i_0_2411,i_0_1839,i_0_2129,i_0_2134,i_0_1347,i_0_2446,i_0_2529,i_0_1520,i_0_1586,i_0_1706,i_0_1795,i_0_1912,i_0_2533,i_0_1745,i_0_2404,i_0_2410,i_0_2012,i_0_2290,i_0_2475,i_0_2505,i_0_2501,i_0_1496,i_0_1759,i_0_1923,i_0_2487,i_0_2491,i_0_2463,i_0_2079,i_0_2499,i_0_2473,i_0_2173,i_0_543,i_0_1534,i_0_1971,i_0_2132,i_0_1567,i_0_628,i_0_504,i_0_570,i_0_1765,i_0_477,i_0_506,i_0_1582,i_0_1584,i_0_1535,i_0_395,i_0_387,i_0_386,i_0_390,i_0_479,i_0_384,i_0_385,i_0_389,i_0_397,i_0_422,i_0_423,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_418,i_0_420,i_0_421,i_0_417,i_0_419,i_0_416,i_0_284,i_0_398,i_0_427,i_0_287,i_0_289,i_0_308,i_0_208,i_0_452,i_0_454,i_0_309,i_0_227,i_0_228,i_0_225,i_0_224,i_0_211,i_0_190,i_0_325,i_0_429,i_0_426,i_0_251,i_0_252,i_0_221,i_0_247,i_0_248,i_0_249,i_0_250,i_0_240]) ).
cnf(i_0_2688,plain,
~ gt(esk45_1(cons(esk1_0,nil)),esk45_1(cons(esk1_0,nil))),
inference(scs_inference,[],[i_0_2411,i_0_1839,i_0_2129,i_0_2134,i_0_1347,i_0_2446,i_0_2529,i_0_1520,i_0_1586,i_0_1706,i_0_1795,i_0_1912,i_0_2533,i_0_1745,i_0_2404,i_0_2410,i_0_2012,i_0_2290,i_0_2475,i_0_2549,i_0_2505,i_0_2501,i_0_1496,i_0_1759,i_0_1923,i_0_2487,i_0_2491,i_0_2463,i_0_2079,i_0_2499,i_0_2473,i_0_2173,i_0_543,i_0_1534,i_0_1971,i_0_2132,i_0_1567,i_0_628,i_0_504,i_0_570,i_0_1765,i_0_477,i_0_506,i_0_1582,i_0_1749,i_0_1584,i_0_1535,i_0_395,i_0_387,i_0_386,i_0_390,i_0_479,i_0_384,i_0_385,i_0_389,i_0_397,i_0_422,i_0_423,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_418,i_0_420,i_0_421,i_0_417,i_0_419,i_0_416,i_0_284,i_0_398,i_0_427,i_0_287,i_0_289,i_0_308,i_0_208,i_0_452,i_0_454,i_0_309,i_0_227,i_0_228,i_0_225,i_0_224,i_0_211,i_0_190,i_0_325,i_0_429,i_0_426,i_0_251,i_0_252,i_0_221,i_0_247,i_0_248,i_0_249,i_0_250,i_0_240,i_0_275]) ).
cnf(i_0_2690,plain,
rearsegP(app(esk9_2(esk54_0,esk54_0),esk9_2(esk54_0,esk54_0)),esk9_2(esk54_0,esk54_0)),
inference(scs_inference,[],[i_0_2411,i_0_1839,i_0_2129,i_0_2134,i_0_1347,i_0_2446,i_0_2529,i_0_1520,i_0_1586,i_0_1706,i_0_1795,i_0_1912,i_0_2533,i_0_1745,i_0_2404,i_0_2410,i_0_2012,i_0_2290,i_0_2475,i_0_2549,i_0_2505,i_0_2501,i_0_1496,i_0_1759,i_0_1923,i_0_2487,i_0_2491,i_0_2463,i_0_2079,i_0_2499,i_0_2473,i_0_2173,i_0_543,i_0_1534,i_0_1971,i_0_2132,i_0_1567,i_0_628,i_0_504,i_0_570,i_0_1765,i_0_477,i_0_506,i_0_1582,i_0_1749,i_0_1584,i_0_1535,i_0_395,i_0_387,i_0_386,i_0_390,i_0_479,i_0_384,i_0_385,i_0_389,i_0_397,i_0_422,i_0_423,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_418,i_0_420,i_0_421,i_0_417,i_0_419,i_0_416,i_0_284,i_0_398,i_0_427,i_0_287,i_0_289,i_0_308,i_0_208,i_0_452,i_0_454,i_0_309,i_0_227,i_0_228,i_0_225,i_0_224,i_0_211,i_0_190,i_0_325,i_0_429,i_0_426,i_0_251,i_0_252,i_0_221,i_0_247,i_0_248,i_0_249,i_0_250,i_0_240,i_0_275,i_0_453]) ).
cnf(i_0_2696,plain,
app(nil,nil) != cons(esk1_0,esk50_0),
inference(scs_inference,[],[i_0_2627,i_0_397]) ).
cnf(i_0_2697,plain,
cons(esk5_1(cons(esk46_1(esk50_0),nil)),esk6_2(esk54_0,esk54_0)) != esk6_2(esk54_0,esk54_0),
inference(scs_inference,[],[i_0_2627,i_0_1588,i_0_2467,i_0_397,i_0_294]) ).
cnf(i_0_2699,plain,
~ rearsegP(nil,app(app(esk53_0,esk50_0),esk54_0)),
inference(scs_inference,[],[i_0_2627,i_0_1588,i_0_1974,i_0_2467,i_0_479,i_0_397,i_0_294,i_0_312]) ).
cnf(i_0_2701,plain,
~ frontsegP(nil,app(app(esk53_0,esk50_0),esk54_0)),
inference(scs_inference,[],[i_0_2627,i_0_1588,i_0_1974,i_0_2467,i_0_479,i_0_397,i_0_294,i_0_312,i_0_313]) ).
cnf(i_0_2703,plain,
ssList(esk47_1(app(app(esk53_0,esk50_0),esk54_0))),
inference(scs_inference,[],[i_0_2627,i_0_1588,i_0_1974,i_0_2467,i_0_479,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365]) ).
cnf(i_0_2705,plain,
ssList(esk44_1(app(app(esk53_0,esk50_0),esk54_0))),
inference(scs_inference,[],[i_0_2627,i_0_1588,i_0_1974,i_0_2467,i_0_479,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366]) ).
cnf(i_0_2707,plain,
ssList(tl(app(app(esk53_0,esk50_0),esk54_0))),
inference(scs_inference,[],[i_0_2627,i_0_1588,i_0_1974,i_0_2467,i_0_479,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367]) ).
cnf(i_0_2709,plain,
ssItem(esk46_1(app(app(esk53_0,esk50_0),esk54_0))),
inference(scs_inference,[],[i_0_2627,i_0_1588,i_0_1974,i_0_2467,i_0_479,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368]) ).
cnf(i_0_2711,plain,
ssItem(esk45_1(app(app(esk53_0,esk50_0),esk54_0))),
inference(scs_inference,[],[i_0_2627,i_0_1588,i_0_1974,i_0_2467,i_0_479,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369]) ).
cnf(i_0_2713,plain,
ssItem(hd(app(app(esk53_0,esk50_0),esk54_0))),
inference(scs_inference,[],[i_0_2627,i_0_1588,i_0_1974,i_0_2467,i_0_479,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370]) ).
cnf(i_0_2723,plain,
nil != cons(esk5_1(cons(esk46_1(esk50_0),nil)),esk6_2(esk54_0,esk54_0)),
inference(scs_inference,[],[i_0_2627,i_0_1588,i_0_1974,i_0_2467,i_0_479,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295]) ).
cnf(i_0_2725,plain,
tl(cons(esk5_1(cons(esk46_1(esk50_0),nil)),esk6_2(esk54_0,esk54_0))) = esk6_2(esk54_0,esk54_0),
inference(scs_inference,[],[i_0_2627,i_0_1588,i_0_1974,i_0_2467,i_0_479,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282]) ).
cnf(i_0_2727,plain,
ssList(cons(esk5_1(cons(esk46_1(esk50_0),nil)),esk6_2(esk54_0,esk54_0))),
inference(scs_inference,[],[i_0_2627,i_0_1588,i_0_1974,i_0_2467,i_0_479,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285]) ).
cnf(i_0_2729,plain,
~ segmentP(nil,app(app(esk53_0,esk50_0),esk54_0)),
inference(scs_inference,[],[i_0_2627,i_0_1588,i_0_1974,i_0_2467,i_0_479,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311]) ).
cnf(i_0_2732,plain,
~ singletonP(app(app(nil,nil),app(nil,app(nil,nil)))),
inference(scs_inference,[],[i_0_2627,i_0_1588,i_0_1974,i_0_2467,i_0_2628,i_0_2650,i_0_2617,i_0_1712,i_0_479,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428]) ).
cnf(i_0_2734,plain,
~ segmentP(tl(cons(esk1_0,nil)),app(esk48_0,esk6_2(esk48_0,esk48_0))),
inference(scs_inference,[],[i_0_2627,i_0_1588,i_0_1998,i_0_1974,i_0_2467,i_0_2628,i_0_2650,i_0_2617,i_0_1712,i_0_1969,i_0_479,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417]) ).
cnf(i_0_2735,plain,
frontsegP(app(app(nil,nil),app(app(nil,nil),app(nil,nil))),app(nil,nil)),
inference(scs_inference,[],[i_0_2627,i_0_1588,i_0_1998,i_0_1974,i_0_1825,i_0_2467,i_0_2628,i_0_1803,i_0_2650,i_0_2617,i_0_1712,i_0_1969,i_0_479,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418]) ).
cnf(i_0_2736,plain,
rearsegP(app(esk49_0,esk49_0),esk51_0),
inference(scs_inference,[],[i_0_307,i_0_2627,i_0_1588,i_0_2632,i_0_1998,i_0_1974,i_0_1825,i_0_2467,i_0_2628,i_0_1803,i_0_2650,i_0_2617,i_0_1712,i_0_1969,i_0_479,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418,i_0_421]) ).
cnf(i_0_2739,plain,
~ frontsegP(nil,app(esk48_0,esk6_2(esk48_0,esk48_0))),
inference(scs_inference,[],[i_0_307,i_0_2627,i_0_1588,i_0_2632,i_0_1998,i_0_1974,i_0_1825,i_0_1487,i_0_2467,i_0_2628,i_0_1803,i_0_2650,i_0_2664,i_0_2617,i_0_1680,i_0_1712,i_0_1969,i_0_479,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419]) ).
cnf(i_0_2740,plain,
rearsegP(app(esk51_0,app(app(esk53_0,esk50_0),esk54_0)),app(app(esk53_0,esk50_0),esk54_0)),
inference(scs_inference,[],[i_0_307,i_0_2627,i_0_1588,i_0_2632,i_0_1998,i_0_1974,i_0_1825,i_0_1486,i_0_1487,i_0_2467,i_0_2628,i_0_2531,i_0_1803,i_0_2650,i_0_2664,i_0_2617,i_0_1680,i_0_1712,i_0_1969,i_0_479,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420]) ).
cnf(i_0_2742,plain,
ssList(app(esk6_2(esk54_0,esk54_0),esk6_2(esk54_0,esk54_0))),
inference(scs_inference,[],[i_0_307,i_0_2627,i_0_1588,i_0_2632,i_0_1998,i_0_1974,i_0_1825,i_0_1486,i_0_1487,i_0_2467,i_0_2628,i_0_2531,i_0_1803,i_0_2650,i_0_2664,i_0_2617,i_0_1680,i_0_1712,i_0_1969,i_0_479,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_284]) ).
cnf(i_0_2744,plain,
cons(esk1_0,esk50_0) != app(app(nil,nil),nil),
inference(scs_inference,[],[i_0_307,i_0_2627,i_0_1588,i_0_2632,i_0_1998,i_0_1974,i_0_1825,i_0_1486,i_0_1487,i_0_2467,i_0_2628,i_0_2531,i_0_1803,i_0_2650,i_0_2664,i_0_2617,i_0_1680,i_0_1712,i_0_2733,i_0_1969,i_0_479,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_284,i_0_398]) ).
cnf(i_0_2746,plain,
~ neq(esk8_2(esk54_0,esk54_0),app(esk8_2(esk54_0,esk54_0),nil)),
inference(scs_inference,[],[i_0_307,i_0_2627,i_0_2545,i_0_1588,i_0_2569,i_0_2632,i_0_1998,i_0_1974,i_0_1825,i_0_1486,i_0_1487,i_0_2467,i_0_2628,i_0_2531,i_0_1803,i_0_2650,i_0_2664,i_0_2617,i_0_1680,i_0_1712,i_0_2733,i_0_1969,i_0_479,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_284,i_0_398,i_0_427]) ).
cnf(i_0_2747,plain,
~ neq(app(esk8_2(esk54_0,esk54_0),nil),esk8_2(esk54_0,esk54_0)),
inference(scs_inference,[],[i_0_307,i_0_2627,i_0_2545,i_0_1588,i_0_2569,i_0_2632,i_0_1998,i_0_1974,i_0_1825,i_0_1486,i_0_1487,i_0_2467,i_0_2628,i_0_2531,i_0_1803,i_0_2650,i_0_2664,i_0_2617,i_0_1680,i_0_1712,i_0_2733,i_0_1969,i_0_479,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_284,i_0_398,i_0_427,i_0_426]) ).
cnf(i_0_2748,plain,
~ lt(esk46_1(esk51_0),esk46_1(app(app(esk53_0,esk50_0),esk54_0))),
inference(scs_inference,[],[i_0_307,i_0_2627,i_0_2545,i_0_1588,i_0_2569,i_0_2632,i_0_1998,i_0_1974,i_0_1825,i_0_1486,i_0_1487,i_0_2591,i_0_2467,i_0_2628,i_0_2531,i_0_1803,i_0_2650,i_0_2664,i_0_2617,i_0_1680,i_0_1712,i_0_2733,i_0_1969,i_0_1941,i_0_479,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_284,i_0_398,i_0_427,i_0_426,i_0_273]) ).
cnf(i_0_2750,plain,
~ lt(hd(app(app(esk53_0,esk50_0),esk54_0)),hd(esk51_0)),
inference(scs_inference,[],[i_0_307,i_0_2627,i_0_2545,i_0_1588,i_0_2569,i_0_2632,i_0_1998,i_0_1974,i_0_1825,i_0_1492,i_0_1486,i_0_1487,i_0_2591,i_0_2467,i_0_2628,i_0_2531,i_0_1803,i_0_2650,i_0_2664,i_0_2617,i_0_1680,i_0_1712,i_0_2733,i_0_1969,i_0_1945,i_0_1941,i_0_479,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_284,i_0_398,i_0_427,i_0_426,i_0_273,i_0_287]) ).
cnf(i_0_2752,plain,
cons(esk5_1(cons(esk46_1(esk50_0),nil)),nil) != nil,
inference(scs_inference,[],[i_0_307,i_0_2627,i_0_2545,i_0_1588,i_0_2569,i_0_2632,i_0_1998,i_0_1974,i_0_1825,i_0_1492,i_0_1486,i_0_1487,i_0_2591,i_0_2467,i_0_2628,i_0_2531,i_0_1803,i_0_2650,i_0_2664,i_0_2617,i_0_1680,i_0_1712,i_0_2733,i_0_1969,i_0_373,i_0_1945,i_0_1941,i_0_388,i_0_479,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_284,i_0_398,i_0_427,i_0_426,i_0_273,i_0_287,i_0_289]) ).
cnf(i_0_2760,plain,
nil != app(esk6_2(esk54_0,esk54_0),app(app(esk53_0,esk50_0),esk54_0)),
inference(scs_inference,[],[i_0_307,i_0_2627,i_0_2545,i_0_1588,i_0_2569,i_0_2632,i_0_1998,i_0_1974,i_0_1825,i_0_1492,i_0_1486,i_0_1487,i_0_2591,i_0_2467,i_0_2628,i_0_2531,i_0_1803,i_0_2650,i_0_2664,i_0_2617,i_0_1680,i_0_1712,i_0_2733,i_0_1969,i_0_373,i_0_1945,i_0_1941,i_0_388,i_0_479,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_284,i_0_398,i_0_427,i_0_426,i_0_273,i_0_287,i_0_289,i_0_278,i_0_220,i_0_253,i_0_291]) ).
cnf(i_0_2762,plain,
app(esk7_2(esk49_0,esk51_0),esk51_0) = esk49_0,
inference(scs_inference,[],[i_0_307,i_0_1965,i_0_2627,i_0_2545,i_0_1588,i_0_2569,i_0_2632,i_0_1998,i_0_1974,i_0_1825,i_0_1492,i_0_1486,i_0_1487,i_0_2591,i_0_2467,i_0_2628,i_0_2531,i_0_1803,i_0_2650,i_0_2664,i_0_2617,i_0_1680,i_0_1712,i_0_2733,i_0_1969,i_0_373,i_0_1945,i_0_1941,i_0_386,i_0_388,i_0_479,i_0_384,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_284,i_0_398,i_0_427,i_0_426,i_0_273,i_0_287,i_0_289,i_0_278,i_0_220,i_0_253,i_0_291,i_0_239]) ).
cnf(i_0_2764,plain,
neq(esk51_0,nil),
inference(scs_inference,[],[i_0_307,i_0_1922,i_0_1965,i_0_2627,i_0_2545,i_0_1588,i_0_2569,i_0_2632,i_0_1998,i_0_1974,i_0_1825,i_0_1492,i_0_1486,i_0_1487,i_0_2591,i_0_2467,i_0_2628,i_0_2531,i_0_1803,i_0_2650,i_0_2664,i_0_2617,i_0_1680,i_0_1712,i_0_2733,i_0_1969,i_0_373,i_0_1945,i_0_1941,i_0_386,i_0_388,i_0_479,i_0_384,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_284,i_0_398,i_0_427,i_0_426,i_0_273,i_0_287,i_0_289,i_0_278,i_0_220,i_0_253,i_0_291,i_0_239,i_0_308]) ).
cnf(i_0_2768,plain,
ssList(esk9_2(app(app(esk53_0,esk50_0),esk54_0),app(app(esk53_0,esk50_0),esk54_0))),
inference(scs_inference,[],[i_0_307,i_0_1922,i_0_1965,i_0_2627,i_0_2545,i_0_1588,i_0_2569,i_0_2632,i_0_1998,i_0_1974,i_0_1825,i_0_1492,i_0_1486,i_0_1487,i_0_2591,i_0_2467,i_0_2628,i_0_2531,i_0_1803,i_0_2650,i_0_2664,i_0_2617,i_0_1680,i_0_1712,i_0_2733,i_0_1969,i_0_373,i_0_628,i_0_1945,i_0_1941,i_0_386,i_0_388,i_0_479,i_0_384,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_284,i_0_398,i_0_427,i_0_426,i_0_273,i_0_287,i_0_289,i_0_278,i_0_220,i_0_253,i_0_291,i_0_239,i_0_308,i_0_221,i_0_247]) ).
cnf(i_0_2770,plain,
ssList(esk8_2(app(app(esk53_0,esk50_0),esk54_0),app(app(esk53_0,esk50_0),esk54_0))),
inference(scs_inference,[],[i_0_307,i_0_1922,i_0_1965,i_0_2627,i_0_2545,i_0_1588,i_0_2569,i_0_2632,i_0_1998,i_0_1974,i_0_1825,i_0_1492,i_0_1486,i_0_1487,i_0_2591,i_0_2467,i_0_2628,i_0_2531,i_0_1803,i_0_2650,i_0_2664,i_0_2617,i_0_1680,i_0_1712,i_0_2733,i_0_1969,i_0_373,i_0_628,i_0_1945,i_0_1941,i_0_386,i_0_388,i_0_479,i_0_384,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_284,i_0_398,i_0_427,i_0_426,i_0_273,i_0_287,i_0_289,i_0_278,i_0_220,i_0_253,i_0_291,i_0_239,i_0_308,i_0_221,i_0_247,i_0_248]) ).
cnf(i_0_2772,plain,
ssList(esk7_2(app(app(esk53_0,esk50_0),esk54_0),app(app(esk53_0,esk50_0),esk54_0))),
inference(scs_inference,[],[i_0_307,i_0_1922,i_0_1965,i_0_2627,i_0_2545,i_0_1588,i_0_2569,i_0_2632,i_0_1998,i_0_1974,i_0_1825,i_0_1492,i_0_1486,i_0_1487,i_0_2591,i_0_2467,i_0_2628,i_0_2531,i_0_1803,i_0_2650,i_0_2664,i_0_2617,i_0_1680,i_0_1712,i_0_2733,i_0_1969,i_0_373,i_0_630,i_0_628,i_0_1945,i_0_1941,i_0_386,i_0_388,i_0_479,i_0_384,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_284,i_0_398,i_0_427,i_0_426,i_0_273,i_0_287,i_0_289,i_0_278,i_0_220,i_0_253,i_0_291,i_0_239,i_0_308,i_0_221,i_0_247,i_0_248,i_0_249]) ).
cnf(i_0_2774,plain,
ssList(esk6_2(nil,nil)),
inference(scs_inference,[],[i_0_307,i_0_1922,i_0_1965,i_0_2627,i_0_2545,i_0_1588,i_0_2569,i_0_2632,i_0_1998,i_0_1974,i_0_1825,i_0_1492,i_0_1486,i_0_1487,i_0_2591,i_0_2467,i_0_2628,i_0_2531,i_0_1803,i_0_2650,i_0_2664,i_0_2617,i_0_1680,i_0_1712,i_0_2733,i_0_1969,i_0_645,i_0_373,i_0_630,i_0_628,i_0_1945,i_0_1941,i_0_386,i_0_388,i_0_479,i_0_384,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_284,i_0_398,i_0_427,i_0_426,i_0_273,i_0_287,i_0_289,i_0_278,i_0_220,i_0_253,i_0_291,i_0_239,i_0_308,i_0_221,i_0_247,i_0_248,i_0_249,i_0_250]) ).
cnf(i_0_2776,plain,
app(nil,esk6_2(nil,nil)) = nil,
inference(scs_inference,[],[i_0_307,i_0_1922,i_0_1965,i_0_2627,i_0_2545,i_0_1588,i_0_2569,i_0_2632,i_0_1998,i_0_1974,i_0_1825,i_0_1492,i_0_1486,i_0_1487,i_0_2591,i_0_2467,i_0_2628,i_0_2531,i_0_1803,i_0_2650,i_0_2664,i_0_2617,i_0_1680,i_0_1712,i_0_2733,i_0_1969,i_0_645,i_0_373,i_0_630,i_0_628,i_0_1945,i_0_1941,i_0_386,i_0_388,i_0_479,i_0_384,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_284,i_0_398,i_0_427,i_0_426,i_0_273,i_0_287,i_0_289,i_0_278,i_0_220,i_0_253,i_0_291,i_0_239,i_0_308,i_0_221,i_0_247,i_0_248,i_0_249,i_0_250,i_0_240]) ).
cnf(i_0_2780,plain,
app(app(esk8_2(esk51_0,esk51_0),esk51_0),esk9_2(esk51_0,esk51_0)) = esk51_0,
inference(scs_inference,[],[i_0_307,i_0_1922,i_0_1965,i_0_2627,i_0_2545,i_0_1588,i_0_2569,i_0_2632,i_0_1998,i_0_1974,i_0_1825,i_0_1492,i_0_1486,i_0_1487,i_0_2591,i_0_2467,i_0_2628,i_0_2531,i_0_1803,i_0_2642,i_0_2650,i_0_2664,i_0_2617,i_0_541,i_0_1680,i_0_1712,i_0_2733,i_0_1969,i_0_2487,i_0_2491,i_0_645,i_0_373,i_0_630,i_0_628,i_0_1945,i_0_1941,i_0_386,i_0_388,i_0_479,i_0_384,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_284,i_0_398,i_0_427,i_0_426,i_0_273,i_0_287,i_0_289,i_0_278,i_0_220,i_0_253,i_0_291,i_0_239,i_0_308,i_0_221,i_0_247,i_0_248,i_0_249,i_0_250,i_0_240,i_0_275,i_0_208]) ).
cnf(i_0_2784,plain,
frontsegP(app(esk6_2(esk54_0,esk54_0),esk6_2(esk54_0,esk54_0)),esk6_2(esk54_0,esk54_0)),
inference(scs_inference,[],[i_0_307,i_0_1922,i_0_1965,i_0_2627,i_0_2545,i_0_1588,i_0_2569,i_0_2632,i_0_1998,i_0_1974,i_0_1825,i_0_1492,i_0_1486,i_0_1487,i_0_2591,i_0_2467,i_0_2628,i_0_2531,i_0_1803,i_0_2642,i_0_2650,i_0_2664,i_0_2617,i_0_541,i_0_1680,i_0_1712,i_0_2733,i_0_1969,i_0_2487,i_0_2491,i_0_645,i_0_373,i_0_630,i_0_628,i_0_1945,i_0_1941,i_0_386,i_0_388,i_0_479,i_0_384,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_284,i_0_398,i_0_427,i_0_426,i_0_273,i_0_287,i_0_289,i_0_278,i_0_220,i_0_253,i_0_291,i_0_239,i_0_308,i_0_221,i_0_247,i_0_248,i_0_249,i_0_250,i_0_240,i_0_275,i_0_208,i_0_452,i_0_454]) ).
cnf(i_0_2786,plain,
neq(esk46_1(cons(esk1_0,nil)),esk2_0),
inference(scs_inference,[],[i_0_307,i_0_1922,i_0_1965,i_0_2627,i_0_2545,i_0_1588,i_0_2569,i_0_2632,i_0_1998,i_0_2641,i_0_1974,i_0_1825,i_0_1492,i_0_1486,i_0_1487,i_0_2591,i_0_2467,i_0_2628,i_0_2531,i_0_1803,i_0_2642,i_0_2650,i_0_2664,i_0_2617,i_0_541,i_0_1680,i_0_1712,i_0_2733,i_0_1969,i_0_2487,i_0_2491,i_0_645,i_0_373,i_0_1747,i_0_630,i_0_628,i_0_1945,i_0_1941,i_0_386,i_0_388,i_0_479,i_0_384,i_0_389,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_284,i_0_398,i_0_427,i_0_426,i_0_273,i_0_287,i_0_289,i_0_278,i_0_220,i_0_253,i_0_291,i_0_239,i_0_308,i_0_221,i_0_247,i_0_248,i_0_249,i_0_250,i_0_240,i_0_275,i_0_208,i_0_452,i_0_454,i_0_309]) ).
cnf(i_0_2792,plain,
~ strictorderedP(cons(hd(app(app(esk53_0,esk50_0),esk54_0)),esk51_0)),
inference(scs_inference,[],[i_0_307,i_0_1922,i_0_1965,i_0_2627,i_0_2545,i_0_1588,i_0_2569,i_0_2632,i_0_1998,i_0_2641,i_0_1974,i_0_1825,i_0_1492,i_0_1486,i_0_1487,i_0_2591,i_0_2467,i_0_2628,i_0_2531,i_0_1803,i_0_2642,i_0_2650,i_0_2664,i_0_2617,i_0_541,i_0_1680,i_0_1712,i_0_2733,i_0_1969,i_0_2487,i_0_2491,i_0_645,i_0_373,i_0_1747,i_0_630,i_0_628,i_0_1945,i_0_1858,i_0_1941,i_0_386,i_0_388,i_0_479,i_0_384,i_0_389,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_284,i_0_398,i_0_427,i_0_426,i_0_273,i_0_287,i_0_289,i_0_278,i_0_220,i_0_253,i_0_291,i_0_239,i_0_308,i_0_221,i_0_247,i_0_248,i_0_249,i_0_250,i_0_240,i_0_275,i_0_208,i_0_452,i_0_454,i_0_309,i_0_227,i_0_228,i_0_229]) ).
cnf(i_0_2796,plain,
rearsegP(app(esk53_0,esk53_0),esk53_0),
inference(scs_inference,[],[i_0_307,i_0_1922,i_0_1965,i_0_2627,i_0_2545,i_0_1588,i_0_2569,i_0_2632,i_0_1998,i_0_2641,i_0_1974,i_0_1825,i_0_1492,i_0_1486,i_0_1487,i_0_2591,i_0_2467,i_0_2628,i_0_2531,i_0_1803,i_0_2642,i_0_2650,i_0_2664,i_0_2617,i_0_541,i_0_613,i_0_1680,i_0_1712,i_0_2733,i_0_1969,i_0_2487,i_0_2491,i_0_645,i_0_373,i_0_632,i_0_1747,i_0_630,i_0_628,i_0_1945,i_0_1858,i_0_1941,i_0_386,i_0_388,i_0_479,i_0_384,i_0_383,i_0_389,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_284,i_0_398,i_0_427,i_0_426,i_0_273,i_0_287,i_0_289,i_0_278,i_0_220,i_0_253,i_0_291,i_0_239,i_0_308,i_0_221,i_0_247,i_0_248,i_0_249,i_0_250,i_0_240,i_0_275,i_0_208,i_0_452,i_0_454,i_0_309,i_0_227,i_0_228,i_0_229,i_0_225,i_0_224]) ).
cnf(i_0_2798,plain,
segmentP(app(app(esk51_0,esk51_0),esk51_0),esk51_0),
inference(scs_inference,[],[i_0_307,i_0_1922,i_0_1965,i_0_2627,i_0_2545,i_0_1588,i_0_2569,i_0_2632,i_0_1998,i_0_2641,i_0_1974,i_0_1825,i_0_1492,i_0_1486,i_0_1487,i_0_2591,i_0_2467,i_0_2628,i_0_2531,i_0_1803,i_0_2642,i_0_2650,i_0_2664,i_0_2617,i_0_541,i_0_613,i_0_1680,i_0_1712,i_0_2733,i_0_1969,i_0_2487,i_0_2491,i_0_645,i_0_373,i_0_632,i_0_1747,i_0_630,i_0_628,i_0_1945,i_0_1858,i_0_1941,i_0_386,i_0_388,i_0_479,i_0_384,i_0_383,i_0_389,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_284,i_0_398,i_0_427,i_0_426,i_0_273,i_0_287,i_0_289,i_0_278,i_0_220,i_0_253,i_0_291,i_0_239,i_0_308,i_0_221,i_0_247,i_0_248,i_0_249,i_0_250,i_0_240,i_0_275,i_0_208,i_0_452,i_0_454,i_0_309,i_0_227,i_0_228,i_0_229,i_0_225,i_0_224,i_0_211]) ).
cnf(i_0_2802,plain,
hd(cons(esk1_0,nil)) != esk2_0,
inference(scs_inference,[],[i_0_307,i_0_1922,i_0_1965,i_0_2627,i_0_2207,i_0_2545,i_0_1588,i_0_2569,i_0_2632,i_0_1998,i_0_2641,i_0_1974,i_0_1825,i_0_1492,i_0_1486,i_0_1487,i_0_2591,i_0_2467,i_0_2628,i_0_2531,i_0_1803,i_0_2642,i_0_2650,i_0_2664,i_0_2617,i_0_541,i_0_613,i_0_1680,i_0_1712,i_0_2733,i_0_1696,i_0_1969,i_0_2487,i_0_2491,i_0_645,i_0_373,i_0_632,i_0_2177,i_0_1747,i_0_630,i_0_628,i_0_1945,i_0_2298,i_0_1858,i_0_1943,i_0_1941,i_0_386,i_0_388,i_0_479,i_0_384,i_0_383,i_0_389,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_284,i_0_398,i_0_427,i_0_426,i_0_273,i_0_287,i_0_289,i_0_278,i_0_220,i_0_253,i_0_291,i_0_239,i_0_308,i_0_221,i_0_247,i_0_248,i_0_249,i_0_250,i_0_240,i_0_275,i_0_208,i_0_452,i_0_454,i_0_309,i_0_227,i_0_228,i_0_229,i_0_225,i_0_224,i_0_211,i_0_195,i_0_637]) ).
cnf(i_0_2803,plain,
cons(X1,esk40_1(app(nil,nil))) = cons(X1,esk40_1(nil)),
inference(scs_inference,[],[i_0_307,i_0_1922,i_0_1965,i_0_2627,i_0_2207,i_0_2545,i_0_1588,i_0_1716,i_0_2569,i_0_2632,i_0_1998,i_0_2641,i_0_1974,i_0_1825,i_0_1492,i_0_1486,i_0_1487,i_0_2591,i_0_2467,i_0_2628,i_0_2531,i_0_1803,i_0_2642,i_0_2650,i_0_2664,i_0_2617,i_0_541,i_0_613,i_0_1680,i_0_1712,i_0_2733,i_0_1696,i_0_1969,i_0_2487,i_0_2491,i_0_645,i_0_373,i_0_632,i_0_2177,i_0_1747,i_0_630,i_0_628,i_0_1945,i_0_2298,i_0_1858,i_0_1943,i_0_1941,i_0_386,i_0_388,i_0_479,i_0_384,i_0_383,i_0_389,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_284,i_0_398,i_0_427,i_0_426,i_0_273,i_0_287,i_0_289,i_0_278,i_0_220,i_0_253,i_0_291,i_0_239,i_0_308,i_0_221,i_0_247,i_0_248,i_0_249,i_0_250,i_0_240,i_0_275,i_0_208,i_0_452,i_0_454,i_0_309,i_0_227,i_0_228,i_0_229,i_0_225,i_0_224,i_0_211,i_0_195,i_0_637,i_0_402]) ).
cnf(i_0_2806,plain,
~ strictorderedP(cons(hd(app(app(esk53_0,esk50_0),esk54_0)),app(app(esk53_0,esk50_0),esk54_0))),
inference(scs_inference,[],[i_0_307,i_0_1922,i_0_1965,i_0_2627,i_0_2207,i_0_2545,i_0_1588,i_0_1716,i_0_2569,i_0_2632,i_0_1998,i_0_2641,i_0_1974,i_0_1825,i_0_1492,i_0_1486,i_0_1487,i_0_2591,i_0_2467,i_0_2628,i_0_2531,i_0_1803,i_0_2642,i_0_2650,i_0_2664,i_0_2617,i_0_541,i_0_613,i_0_1680,i_0_1712,i_0_2733,i_0_1696,i_0_1969,i_0_1489,i_0_2487,i_0_2491,i_0_645,i_0_373,i_0_632,i_0_2177,i_0_1747,i_0_630,i_0_628,i_0_1945,i_0_2298,i_0_1858,i_0_1943,i_0_1941,i_0_386,i_0_388,i_0_479,i_0_384,i_0_383,i_0_389,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_284,i_0_398,i_0_427,i_0_426,i_0_273,i_0_287,i_0_289,i_0_278,i_0_220,i_0_253,i_0_291,i_0_239,i_0_308,i_0_221,i_0_247,i_0_248,i_0_249,i_0_250,i_0_240,i_0_275,i_0_208,i_0_452,i_0_454,i_0_309,i_0_227,i_0_228,i_0_229,i_0_225,i_0_224,i_0_211,i_0_195,i_0_637,i_0_402,i_0_326,i_0_438]) ).
cnf(i_0_2812,plain,
rearsegP(app(esk6_2(esk54_0,esk54_0),esk6_2(esk54_0,esk54_0)),esk6_2(esk54_0,esk54_0)),
inference(scs_inference,[],[i_0_307,i_0_1922,i_0_1965,i_0_2627,i_0_2207,i_0_2545,i_0_1588,i_0_1716,i_0_2569,i_0_2632,i_0_1998,i_0_2641,i_0_1974,i_0_1825,i_0_1492,i_0_1486,i_0_1487,i_0_2591,i_0_2467,i_0_2628,i_0_2531,i_0_1803,i_0_2642,i_0_2650,i_0_2664,i_0_2617,i_0_541,i_0_613,i_0_1680,i_0_1712,i_0_2733,i_0_1696,i_0_1969,i_0_1489,i_0_2487,i_0_2491,i_0_645,i_0_373,i_0_632,i_0_2177,i_0_1747,i_0_630,i_0_628,i_0_1945,i_0_2298,i_0_1858,i_0_1943,i_0_1941,i_0_386,i_0_388,i_0_479,i_0_384,i_0_383,i_0_389,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_284,i_0_398,i_0_427,i_0_426,i_0_273,i_0_287,i_0_289,i_0_278,i_0_220,i_0_253,i_0_291,i_0_239,i_0_308,i_0_221,i_0_247,i_0_248,i_0_249,i_0_250,i_0_240,i_0_275,i_0_208,i_0_452,i_0_454,i_0_309,i_0_227,i_0_228,i_0_229,i_0_225,i_0_224,i_0_211,i_0_195,i_0_637,i_0_402,i_0_326,i_0_438,i_0_251,i_0_252,i_0_453]) ).
cnf(i_0_2820,plain,
~ rearsegP(nil,cons(esk5_1(app(cons(esk1_0,nil),nil)),esk7_2(esk54_0,esk54_0))),
inference(scs_inference,[],[i_0_1785,i_0_1592,i_0_1996,i_0_2260,i_0_2623,i_0_2619,i_0_492,i_0_397,i_0_294,i_0_312]) ).
cnf(i_0_2822,plain,
~ frontsegP(nil,cons(esk5_1(app(cons(esk1_0,nil),nil)),esk7_2(esk54_0,esk54_0))),
inference(scs_inference,[],[i_0_1785,i_0_1592,i_0_1996,i_0_2260,i_0_2623,i_0_2619,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313]) ).
cnf(i_0_2824,plain,
ssList(esk47_1(cons(esk5_1(app(cons(esk1_0,nil),nil)),esk7_2(esk54_0,esk54_0)))),
inference(scs_inference,[],[i_0_1785,i_0_1592,i_0_1996,i_0_2260,i_0_2623,i_0_2619,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365]) ).
cnf(i_0_2826,plain,
ssList(esk44_1(cons(esk5_1(app(cons(esk1_0,nil),nil)),esk7_2(esk54_0,esk54_0)))),
inference(scs_inference,[],[i_0_1785,i_0_1592,i_0_1996,i_0_2260,i_0_2623,i_0_2619,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366]) ).
cnf(i_0_2828,plain,
ssList(tl(cons(esk5_1(app(cons(esk1_0,nil),nil)),esk7_2(esk54_0,esk54_0)))),
inference(scs_inference,[],[i_0_1785,i_0_1592,i_0_1996,i_0_2260,i_0_2623,i_0_2619,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367]) ).
cnf(i_0_2830,plain,
ssItem(esk46_1(cons(esk5_1(app(cons(esk1_0,nil),nil)),esk7_2(esk54_0,esk54_0)))),
inference(scs_inference,[],[i_0_1785,i_0_1592,i_0_1996,i_0_2260,i_0_2623,i_0_2619,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368]) ).
cnf(i_0_2832,plain,
ssItem(esk45_1(cons(esk5_1(app(cons(esk1_0,nil),nil)),esk7_2(esk54_0,esk54_0)))),
inference(scs_inference,[],[i_0_1785,i_0_1592,i_0_1996,i_0_2260,i_0_2623,i_0_2619,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369]) ).
cnf(i_0_2834,plain,
ssItem(hd(cons(esk5_1(app(cons(esk1_0,nil),nil)),esk7_2(esk54_0,esk54_0)))),
inference(scs_inference,[],[i_0_1785,i_0_1592,i_0_1996,i_0_2260,i_0_2623,i_0_2619,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370]) ).
cnf(i_0_2844,plain,
nil != cons(esk46_1(cons(esk46_1(esk51_0),esk44_1(esk50_0))),esk9_2(esk48_0,esk48_0)),
inference(scs_inference,[],[i_0_1785,i_0_1592,i_0_1996,i_0_2260,i_0_2623,i_0_2619,i_0_1761,i_0_1765,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295]) ).
cnf(i_0_2848,plain,
ssList(cons(esk46_1(cons(esk46_1(esk51_0),esk44_1(esk50_0))),esk9_2(esk48_0,esk48_0))),
inference(scs_inference,[],[i_0_1785,i_0_1592,i_0_1996,i_0_2260,i_0_2623,i_0_2619,i_0_1761,i_0_1765,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285]) ).
cnf(i_0_2850,plain,
~ segmentP(nil,cons(esk5_1(app(cons(esk1_0,nil),nil)),esk7_2(esk54_0,esk54_0))),
inference(scs_inference,[],[i_0_1785,i_0_1592,i_0_1996,i_0_2260,i_0_2623,i_0_2619,i_0_1761,i_0_1765,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311]) ).
cnf(i_0_2852,plain,
cons(esk1_0,esk49_0) != cons(esk2_0,nil),
inference(scs_inference,[],[i_0_648,i_0_1785,i_0_1592,i_0_1996,i_0_2260,i_0_2623,i_0_2619,i_0_1843,i_0_1761,i_0_1765,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434]) ).
cnf(i_0_2853,plain,
ssList(app(esk9_2(esk48_0,esk48_0),esk9_2(esk48_0,esk48_0))),
inference(scs_inference,[],[i_0_648,i_0_1785,i_0_1592,i_0_1996,i_0_2260,i_0_2623,i_0_2619,i_0_1843,i_0_1761,i_0_1765,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_284]) ).
cnf(i_0_2855,plain,
~ singletonP(app(nil,esk6_2(nil,nil))),
inference(scs_inference,[],[i_0_648,i_0_1785,i_0_1592,i_0_1996,i_0_2776,i_0_2260,i_0_2623,i_0_2619,i_0_1843,i_0_1761,i_0_373,i_0_1765,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_284,i_0_428]) ).
cnf(i_0_2856,plain,
segmentP(app(app(esk51_0,esk51_0),esk51_0),esk49_0),
inference(scs_inference,[],[i_0_648,i_0_1785,i_0_1592,i_0_2798,i_0_1996,i_0_2776,i_0_2260,i_0_2623,i_0_2619,i_0_1843,i_0_547,i_0_1761,i_0_373,i_0_1765,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_284,i_0_428,i_0_417]) ).
cnf(i_0_2857,plain,
app(cons(esk1_0,nil),cons(esk1_0,nil)) != nil,
inference(scs_inference,[],[i_0_648,i_0_1785,i_0_1592,i_0_2448,i_0_2798,i_0_1996,i_0_2776,i_0_2260,i_0_2623,i_0_2619,i_0_1739,i_0_1843,i_0_547,i_0_1761,i_0_373,i_0_1765,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_284,i_0_428,i_0_417,i_0_418]) ).
cnf(i_0_2858,plain,
rearsegP(app(esk51_0,esk51_0),esk49_0),
inference(scs_inference,[],[i_0_2662,i_0_648,i_0_1785,i_0_1592,i_0_2448,i_0_2798,i_0_1996,i_0_2776,i_0_2260,i_0_2623,i_0_2619,i_0_1739,i_0_1843,i_0_547,i_0_1761,i_0_373,i_0_1765,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_284,i_0_428,i_0_417,i_0_418,i_0_421]) ).
cnf(i_0_2859,plain,
app(app(esk51_0,esk51_0),esk51_0) != nil,
inference(scs_inference,[],[i_0_2662,i_0_648,i_0_1785,i_0_1592,i_0_2448,i_0_2798,i_0_1996,i_0_2776,i_0_2260,i_0_2623,i_0_2619,i_0_1835,i_0_1739,i_0_1843,i_0_547,i_0_1761,i_0_373,i_0_1765,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_284,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416]) ).
cnf(i_0_2860,plain,
frontsegP(app(esk49_0,esk49_0),app(app(esk53_0,esk50_0),esk54_0)),
inference(scs_inference,[],[i_0_2660,i_0_2662,i_0_648,i_0_1785,i_0_1592,i_0_2448,i_0_2798,i_0_1996,i_0_2776,i_0_2260,i_0_2623,i_0_2619,i_0_1835,i_0_1739,i_0_1843,i_0_547,i_0_1761,i_0_373,i_0_1765,i_0_570,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_284,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419]) ).
cnf(i_0_2861,plain,
app(esk51_0,esk51_0) != nil,
inference(scs_inference,[],[i_0_2660,i_0_2662,i_0_648,i_0_1785,i_0_1592,i_0_2448,i_0_2798,i_0_1996,i_0_2776,i_0_2260,i_0_2623,i_0_2619,i_0_1835,i_0_1931,i_0_1739,i_0_1843,i_0_547,i_0_1761,i_0_373,i_0_1765,i_0_570,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_284,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420]) ).
cnf(i_0_2862,plain,
tl(app(esk48_0,nil)) = esk47_1(esk50_0),
inference(scs_inference,[],[i_0_2660,i_0_2662,i_0_648,i_0_1785,i_0_1592,i_0_2448,i_0_1917,i_0_2798,i_0_1996,i_0_2776,i_0_2260,i_0_2623,i_0_2619,i_0_1835,i_0_1931,i_0_1739,i_0_1843,i_0_526,i_0_547,i_0_1761,i_0_373,i_0_1765,i_0_570,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_284,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_398]) ).
cnf(i_0_2864,plain,
neq(esk49_0,nil),
inference(scs_inference,[],[i_0_2764,i_0_2660,i_0_2662,i_0_648,i_0_1785,i_0_1592,i_0_2448,i_0_1917,i_0_2798,i_0_2215,i_0_1996,i_0_2776,i_0_2260,i_0_2623,i_0_2619,i_0_2806,i_0_1835,i_0_1931,i_0_1739,i_0_1843,i_0_526,i_0_547,i_0_1761,i_0_373,i_0_1765,i_0_570,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_284,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_398,i_0_438,i_0_426]) ).
cnf(i_0_2865,plain,
~ lt(esk46_1(app(app(esk53_0,esk50_0),esk54_0)),esk46_1(esk51_0)),
inference(scs_inference,[],[i_0_2764,i_0_2660,i_0_2662,i_0_648,i_0_1785,i_0_1592,i_0_2448,i_0_1917,i_0_2798,i_0_2215,i_0_1996,i_0_2776,i_0_2260,i_0_2709,i_0_2592,i_0_2623,i_0_2619,i_0_2806,i_0_1835,i_0_1931,i_0_1739,i_0_1843,i_0_526,i_0_547,i_0_1761,i_0_373,i_0_1765,i_0_570,i_0_1941,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_284,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_398,i_0_438,i_0_426,i_0_273]) ).
cnf(i_0_2879,plain,
ssList(esk9_2(esk51_0,esk51_0)),
inference(scs_inference,[],[i_0_2764,i_0_2660,i_0_2662,i_0_648,i_0_1785,i_0_1592,i_0_2448,i_0_1917,i_0_2798,i_0_2215,i_0_1996,i_0_2776,i_0_2260,i_0_2709,i_0_2592,i_0_2623,i_0_2619,i_0_2806,i_0_1835,i_0_1931,i_0_1739,i_0_1843,i_0_526,i_0_547,i_0_1761,i_0_541,i_0_373,i_0_630,i_0_1765,i_0_570,i_0_1941,i_0_479,i_0_384,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_284,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_398,i_0_438,i_0_426,i_0_273,i_0_278,i_0_220,i_0_253,i_0_291,i_0_239,i_0_221,i_0_247]) ).
cnf(i_0_2881,plain,
ssList(esk8_2(esk51_0,esk51_0)),
inference(scs_inference,[],[i_0_2764,i_0_2660,i_0_2662,i_0_648,i_0_1785,i_0_1592,i_0_2448,i_0_1917,i_0_2798,i_0_2215,i_0_1996,i_0_2776,i_0_2260,i_0_2709,i_0_2592,i_0_2623,i_0_2619,i_0_2806,i_0_1835,i_0_1931,i_0_1739,i_0_1843,i_0_526,i_0_547,i_0_1761,i_0_541,i_0_373,i_0_630,i_0_1765,i_0_570,i_0_1941,i_0_479,i_0_384,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_284,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_398,i_0_438,i_0_426,i_0_273,i_0_278,i_0_220,i_0_253,i_0_291,i_0_239,i_0_221,i_0_247,i_0_248]) ).
cnf(i_0_2883,plain,
ssList(esk7_2(esk51_0,esk51_0)),
inference(scs_inference,[],[i_0_2764,i_0_2660,i_0_2662,i_0_648,i_0_1785,i_0_1592,i_0_2448,i_0_1917,i_0_2798,i_0_2215,i_0_1996,i_0_2776,i_0_2260,i_0_2709,i_0_2592,i_0_2623,i_0_2619,i_0_2806,i_0_1835,i_0_1931,i_0_1739,i_0_1843,i_0_526,i_0_547,i_0_543,i_0_1761,i_0_541,i_0_373,i_0_630,i_0_1765,i_0_570,i_0_1941,i_0_479,i_0_384,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_284,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_398,i_0_438,i_0_426,i_0_273,i_0_278,i_0_220,i_0_253,i_0_291,i_0_239,i_0_221,i_0_247,i_0_248,i_0_249]) ).
cnf(i_0_2885,plain,
ssList(esk6_2(app(app(esk53_0,esk50_0),esk54_0),app(app(esk53_0,esk50_0),esk54_0))),
inference(scs_inference,[],[i_0_2764,i_0_2660,i_0_2662,i_0_648,i_0_1785,i_0_1592,i_0_2448,i_0_1917,i_0_2798,i_0_2215,i_0_1996,i_0_2776,i_0_2260,i_0_2709,i_0_2592,i_0_2623,i_0_2619,i_0_2806,i_0_1835,i_0_1931,i_0_1739,i_0_1843,i_0_526,i_0_547,i_0_543,i_0_1761,i_0_541,i_0_373,i_0_632,i_0_630,i_0_1765,i_0_570,i_0_1941,i_0_479,i_0_384,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_284,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_398,i_0_438,i_0_426,i_0_273,i_0_278,i_0_220,i_0_253,i_0_291,i_0_239,i_0_221,i_0_247,i_0_248,i_0_249,i_0_250]) ).
cnf(i_0_2889,plain,
~ gt(hd(esk51_0),hd(app(app(esk53_0,esk50_0),esk54_0))),
inference(scs_inference,[],[i_0_2764,i_0_2660,i_0_2662,i_0_648,i_0_1785,i_0_1592,i_0_2448,i_0_1917,i_0_2798,i_0_2215,i_0_1996,i_0_2776,i_0_2750,i_0_2260,i_0_2709,i_0_2713,i_0_2592,i_0_2623,i_0_2619,i_0_2806,i_0_1835,i_0_1931,i_0_1739,i_0_1843,i_0_526,i_0_547,i_0_543,i_0_1761,i_0_541,i_0_373,i_0_632,i_0_630,i_0_1945,i_0_1765,i_0_570,i_0_1941,i_0_479,i_0_384,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_284,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_398,i_0_438,i_0_426,i_0_273,i_0_278,i_0_220,i_0_253,i_0_291,i_0_239,i_0_221,i_0_247,i_0_248,i_0_249,i_0_250,i_0_240,i_0_275]) ).
cnf(i_0_2897,plain,
segmentP(app(app(esk53_0,esk53_0),esk53_0),esk53_0),
inference(scs_inference,[],[i_0_2764,i_0_2660,i_0_2662,i_0_648,i_0_1785,i_0_1592,i_0_2448,i_0_2690,i_0_2652,i_0_1917,i_0_2798,i_0_2215,i_0_1996,i_0_2776,i_0_2750,i_0_2260,i_0_2709,i_0_2713,i_0_2592,i_0_2623,i_0_2727,i_0_2619,i_0_2806,i_0_2782,i_0_1835,i_0_611,i_0_1931,i_0_1739,i_0_1843,i_0_526,i_0_547,i_0_543,i_0_1761,i_0_2404,i_0_541,i_0_373,i_0_632,i_0_630,i_0_1945,i_0_1765,i_0_570,i_0_2467,i_0_1582,i_0_1941,i_0_479,i_0_384,i_0_383,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_284,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_398,i_0_438,i_0_426,i_0_273,i_0_278,i_0_220,i_0_253,i_0_291,i_0_239,i_0_221,i_0_247,i_0_248,i_0_249,i_0_250,i_0_240,i_0_275,i_0_227,i_0_225,i_0_224,i_0_211]) ).
cnf(i_0_2899,plain,
~ neq(nil,app(nil,esk6_2(nil,nil))),
inference(scs_inference,[],[i_0_2764,i_0_2660,i_0_2662,i_0_648,i_0_1785,i_0_1592,i_0_2448,i_0_2690,i_0_2652,i_0_1917,i_0_2798,i_0_2215,i_0_1996,i_0_2776,i_0_2750,i_0_2260,i_0_2709,i_0_2713,i_0_2592,i_0_2623,i_0_2727,i_0_2619,i_0_2806,i_0_2782,i_0_1835,i_0_611,i_0_1931,i_0_1739,i_0_1843,i_0_526,i_0_547,i_0_543,i_0_1761,i_0_2404,i_0_541,i_0_373,i_0_632,i_0_630,i_0_1945,i_0_1765,i_0_570,i_0_2467,i_0_1582,i_0_1941,i_0_479,i_0_384,i_0_383,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_284,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_398,i_0_438,i_0_426,i_0_273,i_0_278,i_0_220,i_0_253,i_0_291,i_0_239,i_0_221,i_0_247,i_0_248,i_0_249,i_0_250,i_0_240,i_0_275,i_0_227,i_0_225,i_0_224,i_0_211,i_0_687]) ).
cnf(i_0_2900,plain,
nil != cons(hd(app(app(esk53_0,esk50_0),esk54_0)),app(app(esk53_0,esk50_0),esk54_0)),
inference(scs_inference,[],[i_0_2764,i_0_2660,i_0_2662,i_0_648,i_0_1785,i_0_1592,i_0_2448,i_0_2690,i_0_2652,i_0_1917,i_0_2798,i_0_2215,i_0_1996,i_0_2776,i_0_2750,i_0_2260,i_0_2709,i_0_2713,i_0_2592,i_0_2623,i_0_2727,i_0_2619,i_0_2806,i_0_2782,i_0_1835,i_0_611,i_0_1931,i_0_1739,i_0_1843,i_0_526,i_0_547,i_0_543,i_0_1761,i_0_2404,i_0_541,i_0_373,i_0_632,i_0_630,i_0_1945,i_0_1765,i_0_570,i_0_2467,i_0_1582,i_0_1941,i_0_479,i_0_384,i_0_383,i_0_492,i_0_397,i_0_294,i_0_312,i_0_313,i_0_365,i_0_366,i_0_367,i_0_368,i_0_369,i_0_370,i_0_283,i_0_296,i_0_297,i_0_255,i_0_295,i_0_282,i_0_285,i_0_311,i_0_434,i_0_284,i_0_428,i_0_417,i_0_418,i_0_421,i_0_416,i_0_419,i_0_420,i_0_398,i_0_438,i_0_426,i_0_273,i_0_278,i_0_220,i_0_253,i_0_291,i_0_239,i_0_221,i_0_247,i_0_248,i_0_249,i_0_250,i_0_240,i_0_275,i_0_227,i_0_225,i_0_224,i_0_211,i_0_687,i_0_530]) ).
cnf(i_0_2908,plain,
cons(esk2_0,nil) != cons(esk1_0,esk49_0),
inference(scs_inference,[],[i_0_2852,i_0_397]) ).
cnf(i_0_2909,plain,
ssList(app(esk9_2(esk51_0,esk51_0),esk9_2(esk51_0,esk51_0))),
inference(scs_inference,[],[i_0_2852,i_0_2879,i_0_397,i_0_284]) ).
cnf(i_0_2911,plain,
~ memberP(app(esk7_2(nil,nil),nil),esk45_1(esk51_0)),
inference(scs_inference,[],[i_0_2852,i_0_2879,i_0_2209,i_0_2169,i_0_397,i_0_284,i_0_434]) ).
cnf(i_0_2912,plain,
cons(esk46_1(esk50_0),nil) != app(nil,esk6_2(nil,nil)),
inference(scs_inference,[],[i_0_2852,i_0_2879,i_0_2209,i_0_2855,i_0_2465,i_0_2169,i_0_397,i_0_284,i_0_434,i_0_428]) ).
cnf(i_0_2913,plain,
~ segmentP(app(esk7_2(nil,nil),nil),app(esk48_0,app(nil,nil))),
inference(scs_inference,[],[i_0_2852,i_0_2879,i_0_2209,i_0_2294,i_0_2855,i_0_2465,i_0_2169,i_0_1713,i_0_397,i_0_284,i_0_434,i_0_428,i_0_417]) ).
cnf(i_0_2916,plain,
~ frontsegP(nil,app(esk48_0,app(nil,nil))),
inference(scs_inference,[],[i_0_2852,i_0_2879,i_0_1963,i_0_2209,i_0_2294,i_0_2855,i_0_2477,i_0_2495,i_0_2465,i_0_2169,i_0_1713,i_0_2914,i_0_397,i_0_284,i_0_434,i_0_428,i_0_417,i_0_421,i_0_419]) ).
cnf(i_0_2918,plain,
~ segmentP(app(esk7_2(nil,nil),app(nil,nil)),app(esk48_0,nil)),
inference(scs_inference,[],[i_0_2852,i_0_2879,i_0_1963,i_0_2209,i_0_2294,i_0_2855,i_0_2477,i_0_2495,i_0_2465,i_0_2169,i_0_1713,i_0_2914,i_0_2917,i_0_397,i_0_284,i_0_434,i_0_428,i_0_417,i_0_421,i_0_419,i_0_416]) ).
cnf(i_0_2920,plain,
~ frontsegP(app(esk7_2(nil,nil),nil),app(esk48_0,nil)),
inference(scs_inference,[],[i_0_2852,i_0_2879,i_0_1963,i_0_2209,i_0_2294,i_0_2855,i_0_2477,i_0_2495,i_0_2465,i_0_2169,i_0_1713,i_0_2914,i_0_2917,i_0_397,i_0_284,i_0_434,i_0_428,i_0_417,i_0_421,i_0_419,i_0_416,i_0_418]) ).
cnf(i_0_2921,plain,
~ rearsegP(app(esk7_2(nil,nil),nil),cons(hd(esk51_0),esk9_2(esk54_0,esk54_0))),
inference(scs_inference,[],[i_0_2852,i_0_2879,i_0_1963,i_0_2209,i_0_2294,i_0_2855,i_0_2477,i_0_2495,i_0_2465,i_0_2169,i_0_1713,i_0_2914,i_0_2917,i_0_397,i_0_284,i_0_434,i_0_428,i_0_417,i_0_421,i_0_419,i_0_416,i_0_418,i_0_420]) ).
cnf(i_0_2922,plain,
nil != cons(esk1_0,esk50_0),
inference(scs_inference,[],[i_0_2696,i_0_2852,i_0_2879,i_0_1963,i_0_2209,i_0_2294,i_0_2855,i_0_2477,i_0_2495,i_0_2465,i_0_2169,i_0_1713,i_0_2914,i_0_2917,i_0_1522,i_0_397,i_0_284,i_0_434,i_0_428,i_0_417,i_0_421,i_0_419,i_0_416,i_0_418,i_0_420,i_0_398]) ).
cnf(i_0_2923,plain,
~ neq(app(nil,esk8_2(esk54_0,esk54_0)),app(esk8_2(esk54_0,esk54_0),nil)),
inference(scs_inference,[],[i_0_2696,i_0_2852,i_0_2879,i_0_1963,i_0_2209,i_0_2294,i_0_2575,i_0_2746,i_0_2855,i_0_2477,i_0_2495,i_0_2465,i_0_2169,i_0_1713,i_0_2914,i_0_2917,i_0_1522,i_0_397,i_0_284,i_0_434,i_0_428,i_0_417,i_0_421,i_0_419,i_0_416,i_0_418,i_0_420,i_0_398,i_0_426]) ).
cnf(i_0_2926,plain,
app(esk7_2(esk51_0,esk51_0),esk51_0) = esk51_0,
inference(scs_inference,[],[i_0_2696,i_0_2852,i_0_2879,i_0_1963,i_0_2209,i_0_2294,i_0_2575,i_0_2746,i_0_2855,i_0_2477,i_0_2495,i_0_2465,i_0_2169,i_0_543,i_0_1713,i_0_2914,i_0_2917,i_0_1522,i_0_384,i_0_397,i_0_284,i_0_434,i_0_428,i_0_417,i_0_421,i_0_419,i_0_416,i_0_418,i_0_420,i_0_398,i_0_426,i_0_220,i_0_239]) ).
cnf(i_0_2928,plain,
memberP(cons(esk1_0,app(cons(esk1_0,nil),nil)),esk1_0),
inference(scs_inference,[],[i_0_2696,i_0_2852,i_0_2879,i_0_1963,i_0_2209,i_0_2294,i_0_2575,i_0_2746,i_0_2855,i_0_2477,i_0_1616,i_0_2495,i_0_2465,i_0_2169,i_0_543,i_0_1657,i_0_1713,i_0_2914,i_0_2917,i_0_1522,i_0_390,i_0_384,i_0_397,i_0_284,i_0_434,i_0_428,i_0_417,i_0_421,i_0_419,i_0_416,i_0_418,i_0_420,i_0_398,i_0_426,i_0_220,i_0_239,i_0_228]) ).
cnf(i_0_2930,plain,
memberP(app(esk9_2(esk51_0,esk51_0),app(cons(esk1_0,nil),nil)),esk1_0),
inference(scs_inference,[],[i_0_2696,i_0_2852,i_0_2879,i_0_1963,i_0_2209,i_0_2294,i_0_2575,i_0_2746,i_0_2855,i_0_2477,i_0_1616,i_0_2495,i_0_2465,i_0_2169,i_0_543,i_0_1657,i_0_1713,i_0_2914,i_0_2917,i_0_1522,i_0_390,i_0_384,i_0_397,i_0_284,i_0_434,i_0_428,i_0_417,i_0_421,i_0_419,i_0_416,i_0_418,i_0_420,i_0_398,i_0_426,i_0_220,i_0_239,i_0_228,i_0_227]) ).
cnf(i_0_2932,plain,
frontsegP(app(esk50_0,esk9_2(esk51_0,esk51_0)),esk48_0),
inference(scs_inference,[],[i_0_2130,i_0_2696,i_0_2852,i_0_2879,i_0_1963,i_0_2209,i_0_2294,i_0_2575,i_0_2746,i_0_2855,i_0_2477,i_0_1616,i_0_2495,i_0_2465,i_0_2169,i_0_543,i_0_1657,i_0_1713,i_0_2914,i_0_2917,i_0_1522,i_0_387,i_0_390,i_0_384,i_0_385,i_0_397,i_0_284,i_0_434,i_0_428,i_0_417,i_0_421,i_0_419,i_0_416,i_0_418,i_0_420,i_0_398,i_0_426,i_0_220,i_0_239,i_0_228,i_0_227,i_0_225]) ).
cnf(i_0_2934,plain,
rearsegP(app(esk9_2(esk51_0,esk51_0),esk48_0),esk50_0),
inference(scs_inference,[],[i_0_2130,i_0_2131,i_0_2696,i_0_2852,i_0_2879,i_0_1963,i_0_2209,i_0_2294,i_0_2575,i_0_2746,i_0_2855,i_0_2477,i_0_1616,i_0_2495,i_0_2465,i_0_2169,i_0_543,i_0_1657,i_0_1713,i_0_2914,i_0_2917,i_0_1522,i_0_387,i_0_390,i_0_384,i_0_385,i_0_397,i_0_284,i_0_434,i_0_428,i_0_417,i_0_421,i_0_419,i_0_416,i_0_418,i_0_420,i_0_398,i_0_426,i_0_220,i_0_239,i_0_228,i_0_227,i_0_225,i_0_224]) ).
cnf(i_0_2936,plain,
~ memberP(app(nil,nil),esk45_1(esk51_0)),
inference(scs_inference,[],[i_0_2130,i_0_2131,i_0_2696,i_0_2852,i_0_2879,i_0_1963,i_0_2209,i_0_2294,i_0_2575,i_0_2746,i_0_2855,i_0_2477,i_0_1616,i_0_2495,i_0_2465,i_0_2169,i_0_543,i_0_1657,i_0_1713,i_0_2914,i_0_2917,i_0_1522,i_0_1943,i_0_387,i_0_390,i_0_388,i_0_384,i_0_385,i_0_397,i_0_284,i_0_434,i_0_428,i_0_417,i_0_421,i_0_419,i_0_416,i_0_418,i_0_420,i_0_398,i_0_426,i_0_220,i_0_239,i_0_228,i_0_227,i_0_225,i_0_224,i_0_216]) ).
cnf(i_0_2938,plain,
segmentP(app(app(esk50_0,esk50_0),esk50_0),esk50_0),
inference(scs_inference,[],[i_0_2130,i_0_2131,i_0_2696,i_0_2852,i_0_2879,i_0_1963,i_0_2209,i_0_2294,i_0_2575,i_0_2746,i_0_2855,i_0_2477,i_0_1616,i_0_2495,i_0_2465,i_0_591,i_0_2169,i_0_543,i_0_1657,i_0_1713,i_0_2914,i_0_2917,i_0_1522,i_0_1943,i_0_387,i_0_390,i_0_388,i_0_384,i_0_385,i_0_397,i_0_284,i_0_434,i_0_428,i_0_417,i_0_421,i_0_419,i_0_416,i_0_418,i_0_420,i_0_398,i_0_426,i_0_220,i_0_239,i_0_228,i_0_227,i_0_225,i_0_224,i_0_216,i_0_211]) ).
cnf(c_0_2878,negated_conjecture,
( memberP(X1,esk52_3(X2,X1,X3))
| ~ ssList(X3)
| app(app(X1,cons(X2,nil)),X3) != esk48_0
| ~ ssList(X1)
| ~ ssItem(X2) ),
i_0_192 ).
cnf(c_0_2879,negated_conjecture,
esk48_0 = esk50_0,
i_0_395 ).
cnf(c_0_2880,plain,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
i_0_314 ).
cnf(c_0_2881,negated_conjecture,
( memberP(X1,esk52_3(X2,X1,X3))
| app(app(X1,cons(X2,nil)),X3) != esk50_0
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(rw,[status(thm)],[c_0_2878,c_0_2879]) ).
cnf(c_0_2882,plain,
ssList(nil),
i_0_388 ).
cnf(c_0_2883,negated_conjecture,
( ssItem(esk52_3(X1,X2,X3))
| ~ ssList(X3)
| app(app(X2,cons(X1,nil)),X3) != esk48_0
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_194 ).
cnf(c_0_2884,plain,
( app(app(nil,cons(X1,nil)),X2) != esk50_0
| ~ ssItem(esk52_3(X1,nil,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2880,c_0_2881]),c_0_2882])]) ).
cnf(c_0_2885,negated_conjecture,
( ssItem(esk52_3(X1,X2,X3))
| app(app(X2,cons(X1,nil)),X3) != esk50_0
| ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(rw,[status(thm)],[c_0_2883,c_0_2879]) ).
cnf(c_0_2886,negated_conjecture,
( app(app(nil,cons(X1,nil)),X2) != esk50_0
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2884,c_0_2885]),c_0_2882])]) ).
cnf(c_0_2887,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
i_0_359 ).
cnf(c_0_2888,plain,
tl(app(esk48_0,nil)) = esk47_1(esk50_0),
i_0_2862 ).
cnf(c_0_2889,negated_conjecture,
ssList(esk48_0),
i_0_387 ).
cnf(c_0_2890,negated_conjecture,
nil != esk48_0,
i_0_392 ).
cnf(c_0_2891,plain,
( app(cons(X1,nil),X2) != esk50_0
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil))
| ~ ssList(X2) ),
inference(spm,[status(thm)],[c_0_2886,c_0_2887]) ).
cnf(c_0_2892,plain,
( cons(X1,X2) = app(cons(X1,nil),X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_255 ).
cnf(c_0_2893,plain,
( ssList(esk47_1(X1))
| nil = X1
| ~ ssList(X1) ),
i_0_365 ).
cnf(c_0_2894,plain,
esk47_1(esk50_0) = tl(app(esk50_0,nil)),
inference(rw,[status(thm)],[c_0_2888,c_0_2879]) ).
cnf(c_0_2895,negated_conjecture,
ssList(esk50_0),
inference(rw,[status(thm)],[c_0_2889,c_0_2879]) ).
cnf(c_0_2896,negated_conjecture,
esk50_0 != nil,
inference(rw,[status(thm)],[c_0_2890,c_0_2879]) ).
cnf(c_0_2897,plain,
( cons(X1,X2) != esk50_0
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil))
| ~ ssList(X2) ),
inference(spm,[status(thm)],[c_0_2891,c_0_2892]) ).
cnf(c_0_2898,plain,
( ssList(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_285 ).
cnf(c_0_2899,plain,
ssList(tl(app(esk50_0,nil))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2893,c_0_2894]),c_0_2895])]),c_0_2896]) ).
cnf(c_0_2900,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
i_0_360 ).
cnf(c_0_2901,plain,
( cons(X1,X2) != esk50_0
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2897,c_0_2898]),c_0_2882])]) ).
cnf(c_0_2902,plain,
( nil = X1
| cons(hd(X1),tl(X1)) = X1
| ~ ssList(X1) ),
i_0_297 ).
cnf(c_0_2903,plain,
ssList(tl(esk50_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2899,c_0_2900]),c_0_2895])]) ).
cnf(c_0_2904,plain,
~ ssItem(hd(esk50_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_2901,c_0_2902])]),c_0_2903]),c_0_2895])]),c_0_2896]) ).
cnf(c_0_2905,plain,
( nil = X1
| ssItem(hd(X1))
| ~ ssList(X1) ),
i_0_370 ).
cnf(c_0_2906,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2904,c_0_2905]),c_0_2895])]),c_0_2896]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC246+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n007.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 04:37:54 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 163.41/117.77 % Version : CSE_E---1.7
% 163.41/117.77 % Problem : theBenchmark.p
% 163.41/117.77 % SZS status Theorem for theBenchmark.p
% 163.41/117.77 % SZS output start CNFRefutation
% See solution above
% 174.84/129.13 % Total time : 117.405s
%------------------------------------------------------------------------------