%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC313+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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:19:08 PM UTC 2026
% Result : Theorem 165.17s 112.58s
% Output : CNFRefutation 175.57s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_524)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(X6,cons(X5,nil)) != X3
& app(cons(X5,nil),X6) = X4 ) )
| ( nil != X3
& nil = X4 )
| ( ( nil != X2
| nil = X1 )
& ( ~ neq(X2,nil)
| ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& app(cons(X7,nil),X8) = X2
& app(X8,cons(X7,nil)) = X1 ) ) ) ) ) ) ) ) ),
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
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(X6,cons(X5,nil)) != X3
& app(cons(X5,nil),X6) = X4 ) )
| ( nil != X3
& nil = X4 )
| ( ( nil != X2
| nil = X1 )
& ( ~ neq(X2,nil)
| ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& app(cons(X7,nil),X8) = X2
& app(X8,cons(X7,nil)) = X1 ) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
fof(i_0_97,plain,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( gt(X1,X2)
=> ~ gt(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[ax94]) ).
fof(i_0_98,plain,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( lt(X1,X2)
=> ~ lt(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[ax33]) ).
fof(i_0_99,plain,
! [X1] :
( ssItem(X1)
=> ~ lt(X1,X1) ),
inference(fof_simplification,[status(thm)],[ax90]) ).
fof(i_0_100,plain,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
inference(fof_simplification,[status(thm)],[ax38]) ).
fof(i_0_101,plain,
! [X247,X248,X249,X250,X251,X252] :
( ( ~ cyclefreeP(X247)
| ~ ssItem(X248)
| ~ ssItem(X249)
| ~ ssList(X250)
| ~ ssList(X251)
| ~ ssList(X252)
| app(app(X250,cons(X248,X251)),cons(X249,X252)) != X247
| ~ leq(X248,X249)
| ~ leq(X249,X248)
| ~ ssList(X247) )
& ( ssItem(esk10_1(X247))
| cyclefreeP(X247)
| ~ ssList(X247) )
& ( ssItem(esk11_1(X247))
| cyclefreeP(X247)
| ~ ssList(X247) )
& ( ssList(esk12_1(X247))
| cyclefreeP(X247)
| ~ ssList(X247) )
& ( ssList(esk13_1(X247))
| cyclefreeP(X247)
| ~ ssList(X247) )
& ( ssList(esk14_1(X247))
| cyclefreeP(X247)
| ~ ssList(X247) )
& ( app(app(esk12_1(X247),cons(esk10_1(X247),esk13_1(X247))),cons(esk11_1(X247),esk14_1(X247))) = X247
| cyclefreeP(X247)
| ~ ssList(X247) )
& ( leq(esk10_1(X247),esk11_1(X247))
| cyclefreeP(X247)
| ~ ssList(X247) )
& ( leq(esk11_1(X247),esk10_1(X247))
| cyclefreeP(X247)
| ~ ssList(X247) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax8])])])])]) ).
fof(i_0_102,plain,
! [X269,X270,X271,X272,X273,X274] :
( ( ~ strictorderP(X269)
| ~ ssItem(X270)
| ~ ssItem(X271)
| ~ ssList(X272)
| ~ ssList(X273)
| ~ ssList(X274)
| app(app(X272,cons(X270,X273)),cons(X271,X274)) != X269
| lt(X270,X271)
| lt(X271,X270)
| ~ ssList(X269) )
& ( ssItem(esk20_1(X269))
| strictorderP(X269)
| ~ ssList(X269) )
& ( ssItem(esk21_1(X269))
| strictorderP(X269)
| ~ ssList(X269) )
& ( ssList(esk22_1(X269))
| strictorderP(X269)
| ~ ssList(X269) )
& ( ssList(esk23_1(X269))
| strictorderP(X269)
| ~ ssList(X269) )
& ( ssList(esk24_1(X269))
| strictorderP(X269)
| ~ ssList(X269) )
& ( app(app(esk22_1(X269),cons(esk20_1(X269),esk23_1(X269))),cons(esk21_1(X269),esk24_1(X269))) = X269
| strictorderP(X269)
| ~ ssList(X269) )
& ( ~ lt(esk20_1(X269),esk21_1(X269))
| strictorderP(X269)
| ~ ssList(X269) )
& ( ~ lt(esk21_1(X269),esk20_1(X269))
| strictorderP(X269)
| ~ ssList(X269) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax10])])])])]) ).
fof(i_0_103,plain,
! [X258,X259,X260,X261,X262,X263] :
( ( ~ totalorderP(X258)
| ~ ssItem(X259)
| ~ ssItem(X260)
| ~ ssList(X261)
| ~ ssList(X262)
| ~ ssList(X263)
| app(app(X261,cons(X259,X262)),cons(X260,X263)) != X258
| leq(X259,X260)
| leq(X260,X259)
| ~ ssList(X258) )
& ( ssItem(esk15_1(X258))
| totalorderP(X258)
| ~ ssList(X258) )
& ( ssItem(esk16_1(X258))
| totalorderP(X258)
| ~ ssList(X258) )
& ( ssList(esk17_1(X258))
| totalorderP(X258)
| ~ ssList(X258) )
& ( ssList(esk18_1(X258))
| totalorderP(X258)
| ~ ssList(X258) )
& ( ssList(esk19_1(X258))
| totalorderP(X258)
| ~ ssList(X258) )
& ( app(app(esk17_1(X258),cons(esk15_1(X258),esk18_1(X258))),cons(esk16_1(X258),esk19_1(X258))) = X258
| totalorderP(X258)
| ~ ssList(X258) )
& ( ~ leq(esk15_1(X258),esk16_1(X258))
| totalorderP(X258)
| ~ ssList(X258) )
& ( ~ leq(esk16_1(X258),esk15_1(X258))
| totalorderP(X258)
| ~ ssList(X258) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax9])])])])]) ).
fof(i_0_104,plain,
! [X291,X292,X293,X294,X295,X296] :
( ( ~ strictorderedP(X291)
| ~ ssItem(X292)
| ~ ssItem(X293)
| ~ ssList(X294)
| ~ ssList(X295)
| ~ ssList(X296)
| app(app(X294,cons(X292,X295)),cons(X293,X296)) != X291
| lt(X292,X293)
| ~ ssList(X291) )
& ( ssItem(esk30_1(X291))
| strictorderedP(X291)
| ~ ssList(X291) )
& ( ssItem(esk31_1(X291))
| strictorderedP(X291)
| ~ ssList(X291) )
& ( ssList(esk32_1(X291))
| strictorderedP(X291)
| ~ ssList(X291) )
& ( ssList(esk33_1(X291))
| strictorderedP(X291)
| ~ ssList(X291) )
& ( ssList(esk34_1(X291))
| strictorderedP(X291)
| ~ ssList(X291) )
& ( app(app(esk32_1(X291),cons(esk30_1(X291),esk33_1(X291))),cons(esk31_1(X291),esk34_1(X291))) = X291
| strictorderedP(X291)
| ~ ssList(X291) )
& ( ~ lt(esk30_1(X291),esk31_1(X291))
| strictorderedP(X291)
| ~ ssList(X291) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax12])])])])]) ).
fof(i_0_105,plain,
! [X280,X281,X282,X283,X284,X285] :
( ( ~ totalorderedP(X280)
| ~ ssItem(X281)
| ~ ssItem(X282)
| ~ ssList(X283)
| ~ ssList(X284)
| ~ ssList(X285)
| app(app(X283,cons(X281,X284)),cons(X282,X285)) != X280
| leq(X281,X282)
| ~ ssList(X280) )
& ( ssItem(esk25_1(X280))
| totalorderedP(X280)
| ~ ssList(X280) )
& ( ssItem(esk26_1(X280))
| totalorderedP(X280)
| ~ ssList(X280) )
& ( ssList(esk27_1(X280))
| totalorderedP(X280)
| ~ ssList(X280) )
& ( ssList(esk28_1(X280))
| totalorderedP(X280)
| ~ ssList(X280) )
& ( ssList(esk29_1(X280))
| totalorderedP(X280)
| ~ ssList(X280) )
& ( app(app(esk27_1(X280),cons(esk25_1(X280),esk28_1(X280))),cons(esk26_1(X280),esk29_1(X280))) = X280
| totalorderedP(X280)
| ~ ssList(X280) )
& ( ~ leq(esk25_1(X280),esk26_1(X280))
| totalorderedP(X280)
| ~ ssList(X280) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax11])])])])]) ).
fof(i_0_106,plain,
! [X302,X303,X304,X305,X306,X307] :
( ( ~ duplicatefreeP(X302)
| ~ ssItem(X303)
| ~ ssItem(X304)
| ~ ssList(X305)
| ~ ssList(X306)
| ~ ssList(X307)
| app(app(X305,cons(X303,X306)),cons(X304,X307)) != X302
| X303 != X304
| ~ ssList(X302) )
& ( ssItem(esk35_1(X302))
| duplicatefreeP(X302)
| ~ ssList(X302) )
& ( ssItem(esk36_1(X302))
| duplicatefreeP(X302)
| ~ ssList(X302) )
& ( ssList(esk37_1(X302))
| duplicatefreeP(X302)
| ~ ssList(X302) )
& ( ssList(esk38_1(X302))
| duplicatefreeP(X302)
| ~ ssList(X302) )
& ( ssList(esk39_1(X302))
| duplicatefreeP(X302)
| ~ ssList(X302) )
& ( app(app(esk37_1(X302),cons(esk35_1(X302),esk38_1(X302))),cons(esk36_1(X302),esk39_1(X302))) = X302
| duplicatefreeP(X302)
| ~ ssList(X302) )
& ( esk35_1(X302) = esk36_1(X302)
| duplicatefreeP(X302)
| ~ ssList(X302) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax13])])])])]) ).
fof(i_0_107,plain,
! [X313,X314,X315,X316,X317] :
( ( ~ equalelemsP(X313)
| ~ ssItem(X314)
| ~ ssItem(X315)
| ~ ssList(X316)
| ~ ssList(X317)
| app(X316,cons(X314,cons(X315,X317))) != X313
| X314 = X315
| ~ ssList(X313) )
& ( ssItem(esk40_1(X313))
| equalelemsP(X313)
| ~ ssList(X313) )
& ( ssItem(esk41_1(X313))
| equalelemsP(X313)
| ~ ssList(X313) )
& ( ssList(esk42_1(X313))
| equalelemsP(X313)
| ~ ssList(X313) )
& ( ssList(esk43_1(X313))
| equalelemsP(X313)
| ~ ssList(X313) )
& ( app(esk42_1(X313),cons(esk40_1(X313),cons(esk41_1(X313),esk43_1(X313)))) = X313
| equalelemsP(X313)
| ~ ssList(X313) )
& ( esk40_1(X313) != esk41_1(X313)
| equalelemsP(X313)
| ~ ssList(X313) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax14])])])])]) ).
fof(i_0_108,plain,
! [X241,X242,X245,X246] :
( ( ssList(esk8_2(X241,X242))
| ~ segmentP(X241,X242)
| ~ ssList(X242)
| ~ ssList(X241) )
& ( ssList(esk9_2(X241,X242))
| ~ segmentP(X241,X242)
| ~ ssList(X242)
| ~ ssList(X241) )
& ( app(app(esk8_2(X241,X242),X242),esk9_2(X241,X242)) = X241
| ~ segmentP(X241,X242)
| ~ ssList(X242)
| ~ ssList(X241) )
& ( ~ ssList(X245)
| ~ ssList(X246)
| app(app(X245,X242),X246) != X241
| segmentP(X241,X242)
| ~ ssList(X242)
| ~ ssList(X241) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax7])])])])]) ).
fof(i_0_109,plain,
! [X224,X225,X228,X229] :
( ( ssList(esk3_2(X224,X225))
| ~ memberP(X224,X225)
| ~ ssItem(X225)
| ~ ssList(X224) )
& ( ssList(esk4_2(X224,X225))
| ~ memberP(X224,X225)
| ~ ssItem(X225)
| ~ ssList(X224) )
& ( app(esk3_2(X224,X225),cons(X225,esk4_2(X224,X225))) = X224
| ~ memberP(X224,X225)
| ~ ssItem(X225)
| ~ ssList(X224) )
& ( ~ ssList(X228)
| ~ ssList(X229)
| app(X228,cons(X225,X229)) != X224
| memberP(X224,X225)
| ~ ssItem(X225)
| ~ ssList(X224) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3])])])])]) ).
fof(i_0_110,plain,
! [X380,X381,X382,X383] :
( ( X380 = X381
| ~ frontsegP(cons(X380,X382),cons(X381,X383))
| ~ ssList(X383)
| ~ ssList(X382)
| ~ ssItem(X381)
| ~ ssItem(X380) )
& ( frontsegP(X382,X383)
| ~ frontsegP(cons(X380,X382),cons(X381,X383))
| ~ ssList(X383)
| ~ ssList(X382)
| ~ ssItem(X381)
| ~ ssItem(X380) )
& ( X380 != X381
| ~ frontsegP(X382,X383)
| frontsegP(cons(X380,X382),cons(X381,X383))
| ~ ssList(X383)
| ~ ssList(X382)
| ~ ssItem(X381)
| ~ ssItem(X380) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax44])])])]) ).
fof(i_0_111,plain,
! [X403,X404,X405,X406] :
( ~ ssList(X403)
| ~ ssList(X404)
| ~ ssList(X405)
| ~ ssList(X406)
| ~ segmentP(X403,X404)
| segmentP(app(app(X405,X403),X406),X404) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax56])])]) ).
fof(i_0_112,negated_conjecture,
! [X468,X469,X470,X471] :
( ssList(esk48_0)
& ssList(esk49_0)
& ssList(esk50_0)
& ssList(esk51_0)
& esk49_0 = esk51_0
& esk48_0 = esk50_0
& ( ~ ssItem(X468)
| ~ ssList(X469)
| app(X469,cons(X468,nil)) = esk50_0
| app(cons(X468,nil),X469) != esk51_0 )
& ( nil = esk50_0
| nil != esk51_0 )
& ( neq(esk49_0,nil)
| nil = esk49_0 )
& ( ~ ssItem(X470)
| ~ ssList(X471)
| app(cons(X470,nil),X471) != esk49_0
| app(X471,cons(X470,nil)) != esk48_0
| nil = esk49_0 )
& ( neq(esk49_0,nil)
| nil != esk48_0 )
& ( ~ ssItem(X470)
| ~ ssList(X471)
| app(cons(X470,nil),X471) != esk49_0
| app(X471,cons(X470,nil)) != esk48_0
| nil != esk48_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_113,plain,
! [X364,X365,X366] :
( ( ~ memberP(app(X365,X366),X364)
| memberP(X365,X364)
| memberP(X366,X364)
| ~ ssList(X366)
| ~ ssList(X365)
| ~ ssItem(X364) )
& ( ~ memberP(X365,X364)
| memberP(app(X365,X366),X364)
| ~ ssList(X366)
| ~ ssList(X365)
| ~ ssItem(X364) )
& ( ~ memberP(X366,X364)
| memberP(app(X365,X366),X364)
| ~ ssList(X366)
| ~ ssList(X365)
| ~ ssItem(X364) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax36])])])]) ).
fof(i_0_114,plain,
! [X367,X368,X369] :
( ( ~ memberP(cons(X368,X369),X367)
| X367 = X368
| memberP(X369,X367)
| ~ ssList(X369)
| ~ ssItem(X368)
| ~ ssItem(X367) )
& ( X367 != X368
| memberP(cons(X368,X369),X367)
| ~ ssList(X369)
| ~ ssItem(X368)
| ~ ssItem(X367) )
& ( ~ memberP(X369,X367)
| memberP(cons(X368,X369),X367)
| ~ ssList(X369)
| ~ ssItem(X368)
| ~ ssItem(X367) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax37])])])]) ).
fof(i_0_115,plain,
! [X435,X436,X437] :
( ~ ssList(X435)
| ~ ssList(X436)
| ~ ssList(X437)
| app(app(X435,X436),X437) = app(X435,app(X436,X437)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).
fof(i_0_116,plain,
! [X345,X346,X347] :
( ~ ssList(X345)
| ~ ssList(X346)
| ~ ssItem(X347)
| cons(X347,app(X346,X345)) = app(cons(X347,X346),X345) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])]) ).
fof(i_0_117,plain,
! [X416,X417] :
( ( nil != X417
| nil = X417
| ~ strictorderedP(cons(X416,X417))
| ~ ssList(X417)
| ~ ssItem(X416) )
& ( strictorderedP(X417)
| nil = X417
| ~ strictorderedP(cons(X416,X417))
| ~ ssList(X417)
| ~ ssItem(X416) )
& ( lt(X416,hd(X417))
| nil = X417
| ~ strictorderedP(cons(X416,X417))
| ~ ssList(X417)
| ~ ssItem(X416) )
& ( nil != X417
| strictorderedP(cons(X416,X417))
| ~ ssList(X417)
| ~ ssItem(X416) )
& ( nil = X417
| ~ strictorderedP(X417)
| ~ lt(X416,hd(X417))
| strictorderedP(cons(X416,X417))
| ~ ssList(X417)
| ~ ssItem(X416) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax70])])])]) ).
fof(i_0_118,plain,
! [X413,X414] :
( ( nil != X414
| nil = X414
| ~ totalorderedP(cons(X413,X414))
| ~ ssList(X414)
| ~ ssItem(X413) )
& ( totalorderedP(X414)
| nil = X414
| ~ totalorderedP(cons(X413,X414))
| ~ ssList(X414)
| ~ ssItem(X413) )
& ( leq(X413,hd(X414))
| nil = X414
| ~ totalorderedP(cons(X413,X414))
| ~ ssList(X414)
| ~ ssItem(X413) )
& ( nil != X414
| totalorderedP(cons(X413,X414))
| ~ ssList(X414)
| ~ ssItem(X413) )
& ( nil = X414
| ~ totalorderedP(X414)
| ~ leq(X413,hd(X414))
| totalorderedP(cons(X413,X414))
| ~ ssList(X414)
| ~ ssItem(X413) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax67])])])]) ).
fof(i_0_119,plain,
! [X392,X393,X394] :
( ~ ssList(X392)
| ~ ssList(X393)
| ~ ssList(X394)
| ~ rearsegP(X392,X393)
| rearsegP(app(X394,X392),X393) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax50])])]) ).
fof(i_0_120,plain,
! [X377,X378,X379] :
( ~ ssList(X377)
| ~ ssList(X378)
| ~ ssList(X379)
| ~ frontsegP(X377,X378)
| frontsegP(app(X377,X379),X378) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax43])])]) ).
fof(i_0_121,plain,
! [X461,X462,X463] :
( ~ ssItem(X461)
| ~ ssItem(X462)
| ~ ssItem(X463)
| ~ gt(X461,X462)
| ~ gt(X462,X463)
| gt(X461,X463) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax95])])]) ).
fof(i_0_122,plain,
! [X447,X448,X449] :
( ~ ssItem(X447)
| ~ ssItem(X448)
| ~ ssItem(X449)
| ~ geq(X447,X448)
| ~ geq(X448,X449)
| geq(X447,X449) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax88])])]) ).
fof(i_0_123,plain,
! [X359,X360,X361] :
( ~ ssItem(X359)
| ~ ssItem(X360)
| ~ ssItem(X361)
| ~ lt(X359,X360)
| ~ lt(X360,X361)
| lt(X359,X361) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax34])])]) ).
fof(i_0_124,plain,
! [X452,X453,X454] :
( ~ ssItem(X452)
| ~ ssItem(X453)
| ~ ssItem(X454)
| ~ leq(X452,X453)
| ~ lt(X453,X454)
| lt(X452,X454) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax91])])]) ).
fof(i_0_125,plain,
! [X351,X352,X353] :
( ~ ssItem(X351)
| ~ ssItem(X352)
| ~ ssItem(X353)
| ~ leq(X351,X352)
| ~ leq(X352,X353)
| leq(X351,X353) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax30])])]) ).
fof(i_0_126,plain,
! [X397,X398,X399] :
( ~ ssList(X397)
| ~ ssList(X398)
| ~ ssList(X399)
| ~ segmentP(X397,X398)
| ~ segmentP(X398,X399)
| segmentP(X397,X399) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax53])])]) ).
fof(i_0_127,plain,
! [X386,X387,X388] :
( ~ ssList(X386)
| ~ ssList(X387)
| ~ ssList(X388)
| ~ rearsegP(X386,X387)
| ~ rearsegP(X387,X388)
| rearsegP(X386,X388) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax47])])]) ).
fof(i_0_128,plain,
! [X371,X372,X373] :
( ~ ssList(X371)
| ~ ssList(X372)
| ~ ssList(X373)
| ~ frontsegP(X371,X372)
| ~ frontsegP(X372,X373)
| frontsegP(X371,X373) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax40])])]) ).
fof(i_0_129,plain,
! [X237,X238,X240] :
( ( ssList(esk7_2(X237,X238))
| ~ rearsegP(X237,X238)
| ~ ssList(X238)
| ~ ssList(X237) )
& ( app(esk7_2(X237,X238),X238) = X237
| ~ rearsegP(X237,X238)
| ~ ssList(X238)
| ~ ssList(X237) )
& ( ~ ssList(X240)
| app(X240,X238) != X237
| rearsegP(X237,X238)
| ~ ssList(X238)
| ~ ssList(X237) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6])])])])]) ).
fof(i_0_130,plain,
! [X233,X234,X236] :
( ( ssList(esk6_2(X233,X234))
| ~ frontsegP(X233,X234)
| ~ ssList(X234)
| ~ ssList(X233) )
& ( app(X234,esk6_2(X233,X234)) = X233
| ~ frontsegP(X233,X234)
| ~ ssList(X234)
| ~ ssList(X233) )
& ( ~ ssList(X236)
| app(X234,X236) != X233
| frontsegP(X233,X234)
| ~ ssList(X234)
| ~ ssList(X233) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax5])])])])]) ).
fof(i_0_131,plain,
! [X328,X329,X330,X331] :
( ( X330 = X331
| cons(X330,X328) != cons(X331,X329)
| ~ ssItem(X331)
| ~ ssItem(X330)
| ~ ssList(X329)
| ~ ssList(X328) )
& ( X329 = X328
| cons(X330,X328) != cons(X331,X329)
| ~ ssItem(X331)
| ~ ssItem(X330)
| ~ ssList(X329)
| ~ ssList(X328) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax19])])])]) ).
fof(i_0_132,plain,
! [X427,X428,X429] :
( ~ ssList(X427)
| ~ ssList(X428)
| ~ ssList(X429)
| app(X429,X428) != app(X427,X428)
| X429 = X427 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax79])])]) ).
fof(i_0_133,plain,
! [X430,X431,X432] :
( ~ ssList(X430)
| ~ ssList(X431)
| ~ ssList(X432)
| app(X431,X432) != app(X431,X430)
| X432 = X430 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax80])])]) ).
fof(i_0_134,plain,
! [X443,X444] :
( ~ ssList(X443)
| ~ ssList(X444)
| nil = X443
| tl(app(X443,X444)) = app(tl(X443),X444) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax86])])]) ).
fof(i_0_135,plain,
! [X433,X434] :
( ~ ssList(X433)
| ~ ssItem(X434)
| cons(X434,X433) = app(cons(X434,nil),X433) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])]) ).
fof(i_0_136,plain,
! [X400,X401] :
( ~ ssList(X400)
| ~ ssList(X401)
| ~ segmentP(X400,X401)
| ~ segmentP(X401,X400)
| X400 = X401 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax54])])]) ).
fof(i_0_137,plain,
! [X389,X390] :
( ~ ssList(X389)
| ~ ssList(X390)
| ~ rearsegP(X389,X390)
| ~ rearsegP(X390,X389)
| X389 = X390 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax48])])]) ).
fof(i_0_138,plain,
! [X374,X375] :
( ~ ssList(X374)
| ~ ssList(X375)
| ~ frontsegP(X374,X375)
| ~ frontsegP(X375,X374)
| X374 = X375 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax41])])]) ).
fof(i_0_139,plain,
! [X445,X446] :
( ~ ssItem(X445)
| ~ ssItem(X446)
| ~ geq(X445,X446)
| ~ geq(X446,X445)
| X445 = X446 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax87])])]) ).
fof(i_0_140,plain,
! [X349,X350] :
( ~ ssItem(X349)
| ~ ssItem(X350)
| ~ leq(X349,X350)
| ~ leq(X350,X349)
| X349 = X350 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax29])])]) ).
fof(i_0_141,plain,
! [X459,X460] :
( ~ ssItem(X459)
| ~ ssItem(X460)
| ~ gt(X459,X460)
| ~ gt(X460,X459) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_97])])]) ).
fof(i_0_142,plain,
! [X357,X358] :
( ~ ssItem(X357)
| ~ ssItem(X358)
| ~ lt(X357,X358)
| ~ lt(X358,X357) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_98])])]) ).
fof(i_0_143,plain,
! [X457,X458] :
( ( X457 != X458
| ~ lt(X457,X458)
| ~ ssItem(X458)
| ~ ssItem(X457) )
& ( leq(X457,X458)
| ~ lt(X457,X458)
| ~ ssItem(X458)
| ~ ssItem(X457) )
& ( X457 = X458
| ~ leq(X457,X458)
| lt(X457,X458)
| ~ ssItem(X458)
| ~ ssItem(X457) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax93])])])]) ).
fof(i_0_144,plain,
! [X455,X456] :
( ~ ssItem(X455)
| ~ ssItem(X456)
| ~ leq(X455,X456)
| X455 = X456
| lt(X455,X456) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax92])])]) ).
fof(i_0_145,plain,
! [X362,X363] :
( ( ~ gt(X362,X363)
| lt(X363,X362)
| ~ ssItem(X363)
| ~ ssItem(X362) )
& ( ~ lt(X363,X362)
| gt(X362,X363)
| ~ ssItem(X363)
| ~ ssItem(X362) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax35])])])]) ).
fof(i_0_146,plain,
! [X355,X356] :
( ( ~ geq(X355,X356)
| leq(X356,X355)
| ~ ssItem(X356)
| ~ ssItem(X355) )
& ( ~ leq(X356,X355)
| geq(X355,X356)
| ~ ssItem(X356)
| ~ ssItem(X355) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax32])])])]) ).
fof(i_0_147,plain,
! [X441,X442] :
( ~ ssList(X441)
| ~ ssList(X442)
| nil = X441
| hd(app(X441,X442)) = hd(X441) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax85])])]) ).
fof(i_0_148,plain,
! [X424,X425] :
( ~ ssList(X424)
| ~ ssList(X425)
| nil = X425
| nil = X424
| hd(X425) != hd(X424)
| tl(X425) != tl(X424)
| X425 = X424 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax77])])]) ).
fof(i_0_149,plain,
! [X341,X342] :
( ~ ssList(X341)
| ~ ssItem(X342)
| tl(cons(X342,X341)) = X341 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])])]) ).
fof(i_0_150,plain,
! [X338,X339] :
( ~ ssList(X338)
| ~ ssItem(X339)
| hd(cons(X339,X338)) = X339 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])]) ).
fof(i_0_151,plain,
! [X343,X344] :
( ~ ssList(X343)
| ~ ssList(X344)
| ssList(app(X343,X344)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).
fof(i_0_152,plain,
! [X324,X325] :
( ~ ssList(X324)
| ~ ssItem(X325)
| ssList(cons(X325,X324)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).
fof(i_0_153,plain,
! [X322,X323] :
( ( ~ neq(X322,X323)
| X322 != X323
| ~ ssList(X323)
| ~ ssList(X322) )
& ( X322 = X323
| neq(X322,X323)
| ~ ssList(X323)
| ~ ssList(X322) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])])])]) ).
fof(i_0_154,plain,
! [X220,X221] :
( ( ~ neq(X220,X221)
| X220 != X221
| ~ ssItem(X221)
| ~ ssItem(X220) )
& ( X220 = X221
| neq(X220,X221)
| ~ ssItem(X221)
| ~ ssItem(X220) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1])])])]) ).
fof(i_0_155,plain,
! [X230,X232] :
( ( ssItem(esk5_1(X230))
| ~ singletonP(X230)
| ~ ssList(X230) )
& ( cons(esk5_1(X230),nil) = X230
| ~ singletonP(X230)
| ~ ssList(X230) )
& ( ~ ssItem(X232)
| cons(X232,nil) != X230
| singletonP(X230)
| ~ ssList(X230) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4])])])])]) ).
fof(i_0_156,plain,
! [X438,X439] :
( ( nil = X439
| nil != app(X438,X439)
| ~ ssList(X439)
| ~ ssList(X438) )
& ( nil = X438
| nil != app(X438,X439)
| ~ ssList(X439)
| ~ ssList(X438) )
& ( nil != X439
| nil != X438
| nil = app(X438,X439)
| ~ ssList(X439)
| ~ ssList(X438) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])])])]) ).
fof(i_0_157,plain,
! [X326,X327] :
( ~ ssList(X326)
| ~ ssItem(X327)
| cons(X327,X326) != X326 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax18])])]) ).
fof(i_0_158,plain,
! [X335,X336] :
( ~ ssList(X335)
| ~ ssItem(X336)
| nil != cons(X336,X335) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])]) ).
fof(i_0_159,plain,
! [X332] :
( ( ssList(esk44_1(X332))
| nil = X332
| ~ ssList(X332) )
& ( ssItem(esk45_1(X332))
| nil = X332
| ~ ssList(X332) )
& ( cons(esk45_1(X332),esk44_1(X332)) = X332
| nil = X332
| ~ ssList(X332) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax20])])])]) ).
fof(i_0_160,plain,
! [X426] :
( ~ ssList(X426)
| nil = X426
| cons(hd(X426),tl(X426)) = X426 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax78])]) ).
fof(i_0_161,plain,
! [X419] :
( ~ ssItem(X419)
| equalelemsP(cons(X419,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax73])]) ).
fof(i_0_162,plain,
! [X418] :
( ~ ssItem(X418)
| duplicatefreeP(cons(X418,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax71])]) ).
fof(i_0_163,plain,
! [X415] :
( ~ ssItem(X415)
| strictorderedP(cons(X415,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax68])]) ).
fof(i_0_164,plain,
! [X412] :
( ~ ssItem(X412)
| totalorderedP(cons(X412,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax65])]) ).
fof(i_0_165,plain,
! [X411] :
( ~ ssItem(X411)
| strictorderP(cons(X411,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax63])]) ).
fof(i_0_166,plain,
! [X410] :
( ~ ssItem(X410)
| totalorderP(cons(X410,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax61])]) ).
fof(i_0_167,plain,
! [X409] :
( ~ ssItem(X409)
| cyclefreeP(cons(X409,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax59])]) ).
fof(i_0_168,plain,
! [X451] :
( ~ ssItem(X451)
| ~ lt(X451,X451) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_99])]) ).
fof(i_0_169,plain,
! [X408] :
( ( ~ segmentP(nil,X408)
| nil = X408
| ~ ssList(X408) )
& ( nil != X408
| segmentP(nil,X408)
| ~ ssList(X408) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax58])])]) ).
fof(i_0_170,plain,
! [X396] :
( ( ~ rearsegP(nil,X396)
| nil = X396
| ~ ssList(X396) )
& ( nil != X396
| rearsegP(nil,X396)
| ~ ssList(X396) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax52])])]) ).
fof(i_0_171,plain,
! [X385] :
( ( ~ frontsegP(nil,X385)
| nil = X385
| ~ ssList(X385) )
& ( nil != X385
| frontsegP(nil,X385)
| ~ ssList(X385) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax46])])]) ).
fof(i_0_172,plain,
! [X370] :
( ~ ssItem(X370)
| ~ memberP(nil,X370) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_100])]) ).
fof(i_0_173,plain,
! [X450] :
( ~ ssItem(X450)
| geq(X450,X450) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax89])]) ).
fof(i_0_174,plain,
! [X354] :
( ~ ssItem(X354)
| leq(X354,X354) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax31])]) ).
fof(i_0_175,plain,
! [X402] :
( ~ ssList(X402)
| segmentP(X402,X402) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax55])]) ).
fof(i_0_176,plain,
! [X391] :
( ~ ssList(X391)
| rearsegP(X391,X391) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax49])]) ).
fof(i_0_177,plain,
! [X376] :
( ~ ssList(X376)
| frontsegP(X376,X376) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax42])]) ).
fof(i_0_178,plain,
! [X348] :
( ~ ssList(X348)
| app(nil,X348) = X348 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).
fof(i_0_179,plain,
! [X440] :
( ~ ssList(X440)
| app(X440,nil) = X440 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).
fof(i_0_180,plain,
! [X407] :
( ~ ssList(X407)
| segmentP(X407,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])]) ).
fof(i_0_181,plain,
! [X395] :
( ~ ssList(X395)
| rearsegP(X395,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax51])]) ).
fof(i_0_182,plain,
! [X384] :
( ~ ssList(X384)
| frontsegP(X384,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax45])]) ).
fof(i_0_183,plain,
! [X422] :
( ( ssList(esk47_1(X422))
| nil = X422
| ~ ssList(X422) )
& ( tl(X422) = esk47_1(X422)
| nil = X422
| ~ ssList(X422) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax76])])])]) ).
fof(i_0_184,plain,
! [X340] :
( ~ ssList(X340)
| nil = X340
| ssList(tl(X340)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax24])]) ).
fof(i_0_185,plain,
! [X420] :
( ( ssItem(esk46_1(X420))
| nil = X420
| ~ ssList(X420) )
& ( hd(X420) = esk46_1(X420)
| nil = X420
| ~ ssList(X420) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax75])])])]) ).
fof(i_0_186,plain,
! [X337] :
( ~ ssList(X337)
| nil = X337
| ssItem(hd(X337)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax22])]) ).
fof(i_0_187,plain,
~ singletonP(nil),
inference(fof_simplification,[status(thm)],[ax39]) ).
fof(i_0_188,plain,
( ssItem(esk1_0)
& ssItem(esk2_0)
& esk1_0 != esk2_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[ax2])]) ).
cnf(i_0_189,plain,
( ~ cyclefreeP(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
| ~ leq(X2,X3)
| ~ leq(X3,X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_190,plain,
( lt(X2,X3)
| lt(X3,X2)
| ~ strictorderP(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_191,plain,
( leq(X2,X3)
| leq(X3,X2)
| ~ totalorderP(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_192,plain,
( lt(X2,X3)
| ~ strictorderedP(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_193,plain,
( leq(X2,X3)
| ~ totalorderedP(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_194,plain,
( ~ duplicatefreeP(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
| X2 != X3
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_195,plain,
( app(app(esk37_1(X1),cons(esk35_1(X1),esk38_1(X1))),cons(esk36_1(X1),esk39_1(X1))) = X1
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_196,plain,
( app(app(esk32_1(X1),cons(esk30_1(X1),esk33_1(X1))),cons(esk31_1(X1),esk34_1(X1))) = X1
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_197,plain,
( app(app(esk27_1(X1),cons(esk25_1(X1),esk28_1(X1))),cons(esk26_1(X1),esk29_1(X1))) = X1
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_198,plain,
( app(app(esk22_1(X1),cons(esk20_1(X1),esk23_1(X1))),cons(esk21_1(X1),esk24_1(X1))) = X1
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_199,plain,
( app(app(esk17_1(X1),cons(esk15_1(X1),esk18_1(X1))),cons(esk16_1(X1),esk19_1(X1))) = X1
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_200,plain,
( app(app(esk12_1(X1),cons(esk10_1(X1),esk13_1(X1))),cons(esk11_1(X1),esk14_1(X1))) = X1
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_201,plain,
( X2 = X3
| ~ equalelemsP(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| app(X4,cons(X2,cons(X3,X5))) != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_202,plain,
( app(esk42_1(X1),cons(esk40_1(X1),cons(esk41_1(X1),esk43_1(X1)))) = X1
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_203,plain,
( app(app(esk8_2(X1,X2),X2),esk9_2(X1,X2)) = X1
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_204,plain,
( app(esk3_2(X1,X2),cons(X2,esk4_2(X1,X2))) = X1
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_205,plain,
( frontsegP(X1,X2)
| ~ frontsegP(cons(X3,X1),cons(X4,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X3) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_206,plain,
( segmentP(app(app(X3,X1),X4),X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ segmentP(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_207,plain,
( X1 = X2
| ~ frontsegP(cons(X1,X3),cons(X2,X4))
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_208,negated_conjecture,
( ~ ssItem(X1)
| ~ ssList(X2)
| app(cons(X1,nil),X2) != esk49_0
| app(X2,cons(X1,nil)) != esk48_0
| nil != esk48_0 ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_209,negated_conjecture,
( nil = esk49_0
| ~ ssItem(X1)
| ~ ssList(X2)
| app(cons(X1,nil),X2) != esk49_0
| app(X2,cons(X1,nil)) != esk48_0 ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_210,plain,
( frontsegP(cons(X1,X3),cons(X2,X4))
| X1 != X2
| ~ frontsegP(X3,X4)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_211,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_212,negated_conjecture,
( app(X2,cons(X1,nil)) = esk50_0
| ~ ssItem(X1)
| ~ ssList(X2)
| app(cons(X1,nil),X2) != esk51_0 ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_213,plain,
( segmentP(X4,X3)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X1,X3),X2) != X4
| ~ ssList(X3)
| ~ ssList(X4) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_214,plain,
( memberP(X4,X3)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X1,cons(X3,X2)) != X4
| ~ ssItem(X3)
| ~ ssList(X4) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_215,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_216,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_217,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_218,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_219,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_220,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_221,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_222,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_223,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_224,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_225,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_226,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_227,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_228,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_229,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_230,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_231,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_232,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_233,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_234,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_235,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_236,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_237,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_238,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_239,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_240,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_241,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_242,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_243,plain,
( ssList(esk9_2(X1,X2))
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_244,plain,
( ssList(esk8_2(X1,X2))
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_245,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_246,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_247,plain,
( ssList(esk4_2(X1,X2))
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_248,plain,
( ssList(esk3_2(X1,X2))
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_249,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_250,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_251,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_252,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_253,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_254,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_255,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_256,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_257,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_258,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_259,plain,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ gt(X1,X2)
| ~ gt(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_260,plain,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ lt(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_142]),
[final] ).
cnf(i_0_261,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_262,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_263,plain,
( strictorderedP(X1)
| ~ lt(esk30_1(X1),esk31_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_264,plain,
( totalorderedP(X1)
| ~ leq(esk25_1(X1),esk26_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_265,plain,
( strictorderP(X1)
| ~ lt(esk21_1(X1),esk20_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_266,plain,
( strictorderP(X1)
| ~ lt(esk20_1(X1),esk21_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_267,plain,
( totalorderP(X1)
| ~ leq(esk16_1(X1),esk15_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_268,plain,
( totalorderP(X1)
| ~ leq(esk15_1(X1),esk16_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_269,plain,
( gt(X2,X1)
| ~ lt(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_270,plain,
( geq(X2,X1)
| ~ leq(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_271,plain,
( lt(X2,X1)
| ~ gt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_272,plain,
( leq(X1,X2)
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_273,plain,
( leq(X2,X1)
| ~ geq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_274,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_275,plain,
( strictorderedP(cons(X2,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_276,plain,
( totalorderedP(cons(X2,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_277,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_278,plain,
( tl(cons(X2,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_279,plain,
( hd(cons(X2,X1)) = X2
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_150]),
[final] ).
cnf(i_0_280,plain,
( ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_281,plain,
( ssList(cons(X2,X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_152]),
[final] ).
cnf(i_0_282,plain,
( ~ neq(X1,X2)
| X1 != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_153]),
[final] ).
cnf(i_0_283,plain,
( X1 != X2
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_284,plain,
( ~ neq(X1,X2)
| X1 != X2
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_154]),
[final] ).
cnf(i_0_285,plain,
( singletonP(X2)
| ~ ssItem(X1)
| cons(X1,nil) != X2
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_286,plain,
( nil = X1
| nil != app(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_156]),
[final] ).
cnf(i_0_287,plain,
( nil = X1
| nil != app(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_156]),
[final] ).
cnf(i_0_288,plain,
( leq(esk11_1(X1),esk10_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_289,plain,
( leq(esk10_1(X1),esk11_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_290,plain,
( ~ ssList(X1)
| ~ ssItem(X2)
| cons(X2,X1) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_157]),
[final] ).
cnf(i_0_291,plain,
( ~ ssList(X1)
| ~ ssItem(X2)
| nil != cons(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_158]),
[final] ).
cnf(i_0_292,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_293,plain,
( nil = X1
| cons(hd(X1),tl(X1)) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_160]),
[final] ).
cnf(i_0_294,plain,
( equalelemsP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_161]),
[final] ).
cnf(i_0_295,plain,
( duplicatefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_162]),
[final] ).
cnf(i_0_296,plain,
( strictorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_163]),
[final] ).
cnf(i_0_297,plain,
( totalorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_164]),
[final] ).
cnf(i_0_298,plain,
( strictorderP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_165]),
[final] ).
cnf(i_0_299,plain,
( totalorderP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_166]),
[final] ).
cnf(i_0_300,plain,
( cyclefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_167]),
[final] ).
cnf(i_0_301,plain,
( cons(esk5_1(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_302,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_303,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_153]),
[final] ).
cnf(i_0_304,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_154]),
[final] ).
cnf(i_0_305,plain,
( ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(split_conjunct,[status(thm)],[i_0_168]),
[final] ).
cnf(i_0_306,plain,
( nil = X1
| ~ segmentP(nil,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_169]),
[final] ).
cnf(i_0_307,plain,
( nil = X1
| ~ rearsegP(nil,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_170]),
[final] ).
cnf(i_0_308,plain,
( nil = X1
| ~ frontsegP(nil,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_171]),
[final] ).
cnf(i_0_309,plain,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
inference(split_conjunct,[status(thm)],[i_0_172]),
[final] ).
cnf(i_0_310,plain,
( ssItem(esk5_1(X1))
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_311,plain,
( equalelemsP(X1)
| esk40_1(X1) != esk41_1(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_312,plain,
( segmentP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_169]),
[final] ).
cnf(i_0_313,plain,
( rearsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_170]),
[final] ).
cnf(i_0_314,plain,
( frontsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_171]),
[final] ).
cnf(i_0_315,plain,
( ssList(esk43_1(X1))
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_316,plain,
( ssList(esk42_1(X1))
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_317,plain,
( ssItem(esk41_1(X1))
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_318,plain,
( ssItem(esk40_1(X1))
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_319,plain,
( ssList(esk39_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_320,plain,
( ssList(esk38_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_321,plain,
( ssList(esk37_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_322,plain,
( ssItem(esk36_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_323,plain,
( ssItem(esk35_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_324,plain,
( ssList(esk34_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_325,plain,
( ssList(esk33_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_326,plain,
( ssList(esk32_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_327,plain,
( ssItem(esk31_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_328,plain,
( ssItem(esk30_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_329,plain,
( ssList(esk29_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_330,plain,
( ssList(esk28_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_331,plain,
( ssList(esk27_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_332,plain,
( ssItem(esk26_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_333,plain,
( ssItem(esk25_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_334,plain,
( ssList(esk24_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_335,plain,
( ssList(esk23_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_336,plain,
( ssList(esk22_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_337,plain,
( ssItem(esk21_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_338,plain,
( ssItem(esk20_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_339,plain,
( ssList(esk19_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_340,plain,
( ssList(esk18_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_341,plain,
( ssList(esk17_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_342,plain,
( ssItem(esk16_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_343,plain,
( ssItem(esk15_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_344,plain,
( ssList(esk14_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_345,plain,
( ssList(esk13_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_346,plain,
( ssList(esk12_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_347,plain,
( ssItem(esk11_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_348,plain,
( ssItem(esk10_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_349,plain,
( geq(X1,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_173]),
[final] ).
cnf(i_0_350,plain,
( leq(X1,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_174]),
[final] ).
cnf(i_0_351,plain,
( segmentP(X1,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_175]),
[final] ).
cnf(i_0_352,plain,
( rearsegP(X1,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_176]),
[final] ).
cnf(i_0_353,plain,
( frontsegP(X1,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_177]),
[final] ).
cnf(i_0_354,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_178]),
[final] ).
cnf(i_0_355,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_179]),
[final] ).
cnf(i_0_356,plain,
( esk35_1(X1) = esk36_1(X1)
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_357,plain,
( segmentP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_180]),
[final] ).
cnf(i_0_358,plain,
( rearsegP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_181]),
[final] ).
cnf(i_0_359,plain,
( frontsegP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_182]),
[final] ).
cnf(i_0_360,plain,
( ssList(esk47_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_183]),
[final] ).
cnf(i_0_361,plain,
( ssList(esk44_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_362,plain,
( nil = X1
| ssList(tl(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_184]),
[final] ).
cnf(i_0_363,plain,
( ssItem(esk46_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_185]),
[final] ).
cnf(i_0_364,plain,
( ssItem(esk45_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_365,plain,
( nil = X1
| ssItem(hd(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_186]),
[final] ).
cnf(i_0_366,plain,
( tl(X1) = esk47_1(X1)
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_183]),
[final] ).
cnf(i_0_367,plain,
( hd(X1) = esk46_1(X1)
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_185]),
[final] ).
cnf(i_0_368,negated_conjecture,
( neq(esk49_0,nil)
| nil != esk48_0 ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_369,negated_conjecture,
( neq(esk49_0,nil)
| nil = esk49_0 ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_370,plain,
~ singletonP(nil),
inference(split_conjunct,[status(thm)],[i_0_187]),
[final] ).
cnf(i_0_371,plain,
equalelemsP(nil),
inference(split_conjunct,[status(thm)],[ax74]),
[final] ).
cnf(i_0_372,plain,
duplicatefreeP(nil),
inference(split_conjunct,[status(thm)],[ax72]),
[final] ).
cnf(i_0_373,plain,
strictorderedP(nil),
inference(split_conjunct,[status(thm)],[ax69]),
[final] ).
cnf(i_0_374,plain,
totalorderedP(nil),
inference(split_conjunct,[status(thm)],[ax66]),
[final] ).
cnf(i_0_375,plain,
strictorderP(nil),
inference(split_conjunct,[status(thm)],[ax64]),
[final] ).
cnf(i_0_376,plain,
totalorderP(nil),
inference(split_conjunct,[status(thm)],[ax62]),
[final] ).
cnf(i_0_377,plain,
cyclefreeP(nil),
inference(split_conjunct,[status(thm)],[ax60]),
[final] ).
cnf(i_0_378,negated_conjecture,
ssList(esk51_0),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_379,negated_conjecture,
ssList(esk50_0),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_380,negated_conjecture,
ssList(esk49_0),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_381,negated_conjecture,
ssList(esk48_0),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_382,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]),
[final] ).
cnf(i_0_383,plain,
ssItem(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_384,plain,
ssItem(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_385,negated_conjecture,
( nil = esk50_0
| nil != esk51_0 ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_386,plain,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_387,negated_conjecture,
esk49_0 = esk51_0,
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_388,negated_conjecture,
esk48_0 = esk50_0,
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_389,axiom,
X1 = X1 ).
cnf(i_0_390,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_391,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_392,axiom,
( X1 != X2
| app(X1,X3) = app(X2,X3) ) ).
cnf(i_0_393,axiom,
( X1 != X2
| app(X3,X1) = app(X3,X2) ) ).
cnf(i_0_394,axiom,
( X1 != X2
| cons(X1,X3) = cons(X2,X3) ) ).
cnf(i_0_395,axiom,
( X1 != X2
| cons(X3,X1) = cons(X3,X2) ) ).
cnf(i_0_396,axiom,
( X1 != X2
| esk40_1(X1) = esk40_1(X2) ) ).
cnf(i_0_397,axiom,
( X1 != X2
| esk41_1(X1) = esk41_1(X2) ) ).
cnf(i_0_398,axiom,
( X1 != X2
| esk35_1(X1) = esk35_1(X2) ) ).
cnf(i_0_399,axiom,
( X1 != X2
| hd(X1) = hd(X2) ) ).
cnf(i_0_400,axiom,
( X1 != X2
| tl(X1) = tl(X2) ) ).
cnf(i_0_401,axiom,
( X1 != X2
| esk47_1(X1) = esk47_1(X2) ) ).
cnf(i_0_402,axiom,
( X1 != X2
| esk46_1(X1) = esk46_1(X2) ) ).
cnf(i_0_403,axiom,
( X1 != X2
| esk36_1(X1) = esk36_1(X2) ) ).
cnf(i_0_404,axiom,
( X1 != X2
| ~ cyclefreeP(X1)
| cyclefreeP(X2) ) ).
cnf(i_0_405,axiom,
( X1 != X2
| ~ duplicatefreeP(X1)
| duplicatefreeP(X2) ) ).
cnf(i_0_406,axiom,
( X1 != X2
| ~ equalelemsP(X1)
| equalelemsP(X2) ) ).
cnf(i_0_407,axiom,
( X1 != X2
| ~ segmentP(X1,X3)
| segmentP(X2,X3) ) ).
cnf(i_0_408,axiom,
( X1 != X2
| ~ segmentP(X3,X1)
| segmentP(X3,X2) ) ).
cnf(i_0_409,axiom,
( X1 != X2
| ~ memberP(X1,X3)
| memberP(X2,X3) ) ).
cnf(i_0_410,axiom,
( X1 != X2
| ~ memberP(X3,X1)
| memberP(X3,X2) ) ).
cnf(i_0_411,axiom,
( X1 != X2
| ~ frontsegP(X1,X3)
| frontsegP(X2,X3) ) ).
cnf(i_0_412,axiom,
( X1 != X2
| ~ frontsegP(X3,X1)
| frontsegP(X3,X2) ) ).
cnf(i_0_413,axiom,
( X1 != X2
| ~ rearsegP(X1,X3)
| rearsegP(X2,X3) ) ).
cnf(i_0_414,axiom,
( X1 != X2
| ~ rearsegP(X3,X1)
| rearsegP(X3,X2) ) ).
cnf(i_0_415,axiom,
( X1 != X2
| ~ gt(X1,X3)
| gt(X2,X3) ) ).
cnf(i_0_416,axiom,
( X1 != X2
| ~ gt(X3,X1)
| gt(X3,X2) ) ).
cnf(i_0_417,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_418,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_419,axiom,
( X1 != X2
| ~ neq(X1,X3)
| neq(X2,X3) ) ).
cnf(i_0_420,axiom,
( X1 != X2
| ~ neq(X3,X1)
| neq(X3,X2) ) ).
cnf(i_0_421,axiom,
( X1 != X2
| ~ singletonP(X1)
| singletonP(X2) ) ).
cnf(i_0_422,axiom,
( X1 != X2
| ~ ssItem(X1)
| ssItem(X2) ) ).
cnf(i_0_423,axiom,
( X1 != X2
| ~ ssList(X1)
| ssList(X2) ) ).
cnf(i_0_424,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_425,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_426,axiom,
( X1 != X2
| ~ lt(X1,X3)
| lt(X2,X3) ) ).
cnf(i_0_427,axiom,
( X1 != X2
| ~ lt(X3,X1)
| lt(X3,X2) ) ).
cnf(i_0_428,axiom,
( X1 != X2
| ~ strictorderP(X1)
| strictorderP(X2) ) ).
cnf(i_0_429,axiom,
( X1 != X2
| ~ totalorderP(X1)
| totalorderP(X2) ) ).
cnf(i_0_430,axiom,
( X1 != X2
| ~ strictorderedP(X1)
| strictorderedP(X2) ) ).
cnf(i_0_431,axiom,
( X1 != X2
| ~ totalorderedP(X1)
| totalorderedP(X2) ) ).
cnf(i_0_2104,plain,
app(esk51_0,cons(esk1_0,esk51_0)) != nil,
inference(scs_inference,[],[i_0_378,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1844,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1931,i_0_1951,i_0_1958,i_0_1941,i_0_1859,i_0_1916,i_0_1949,i_0_370,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257]) ).
cnf(i_0_2106,plain,
app(cons(esk1_0,esk51_0),esk51_0) != nil,
inference(scs_inference,[],[i_0_378,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1844,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1859,i_0_1916,i_0_1949,i_0_370,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258]) ).
cnf(i_0_2108,plain,
app(nil,esk51_0) != app(cons(esk1_0,esk51_0),esk51_0),
inference(scs_inference,[],[i_0_378,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1844,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1859,i_0_1916,i_0_1949,i_0_370,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241]) ).
cnf(i_0_2110,plain,
app(esk51_0,nil) != app(esk51_0,cons(esk1_0,esk51_0)),
inference(scs_inference,[],[i_0_378,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1844,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1859,i_0_1916,i_0_1949,i_0_370,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242]) ).
cnf(i_0_2112,plain,
memberP(app(cons(esk1_0,esk51_0),cons(esk1_0,esk51_0)),esk1_0),
inference(scs_inference,[],[i_0_378,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1844,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1859,i_0_1916,i_0_1949,i_0_370,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440]) ).
cnf(i_0_2114,plain,
~ memberP(cons(esk2_0,nil),esk1_0),
inference(scs_inference,[],[i_0_378,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1844,i_0_1818,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1859,i_0_1916,i_0_1949,i_0_370,i_0_386,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440,i_0_215]) ).
cnf(i_0_2116,plain,
segmentP(esk49_0,nil),
inference(scs_inference,[],[i_0_378,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1820,i_0_1844,i_0_1818,i_0_1845,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1859,i_0_1916,i_0_1949,i_0_370,i_0_386,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440,i_0_215,i_0_232]) ).
cnf(i_0_2118,plain,
rearsegP(esk49_0,nil),
inference(scs_inference,[],[i_0_378,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1820,i_0_1822,i_0_1844,i_0_1818,i_0_1845,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1859,i_0_1916,i_0_1949,i_0_370,i_0_386,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440,i_0_215,i_0_232,i_0_233]) ).
cnf(i_0_2120,plain,
frontsegP(esk49_0,nil),
inference(scs_inference,[],[i_0_378,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1820,i_0_1822,i_0_1824,i_0_1844,i_0_1818,i_0_1845,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1859,i_0_1916,i_0_1949,i_0_370,i_0_386,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440,i_0_215,i_0_232,i_0_233,i_0_234]) ).
cnf(i_0_2122,plain,
~ memberP(app(nil,nil),esk46_1(cons(esk1_0,esk51_0))),
inference(scs_inference,[],[i_0_378,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1820,i_0_1822,i_0_1824,i_0_1844,i_0_1818,i_0_1845,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1859,i_0_1916,i_0_1949,i_0_370,i_0_386,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440,i_0_215,i_0_232,i_0_233,i_0_234,i_0_211]) ).
cnf(i_0_2124,plain,
segmentP(app(app(esk51_0,esk49_0),esk51_0),esk51_0),
inference(scs_inference,[],[i_0_378,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1820,i_0_1822,i_0_1824,i_0_1844,i_0_1818,i_0_1845,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1859,i_0_1916,i_0_1949,i_0_370,i_0_386,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440,i_0_215,i_0_232,i_0_233,i_0_234,i_0_211,i_0_206]) ).
cnf(i_0_2126,plain,
app(app(esk51_0,cons(esk1_0,esk51_0)),esk51_0) != nil,
inference(scs_inference,[],[i_0_378,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1820,i_0_1822,i_0_1824,i_0_1844,i_0_1818,i_0_1845,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1929,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1859,i_0_1916,i_0_1949,i_0_370,i_0_386,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440,i_0_215,i_0_232,i_0_233,i_0_234,i_0_211,i_0_206,i_0_213]) ).
cnf(i_0_2128,plain,
app(esk51_0,cons(esk46_1(cons(esk1_0,esk51_0)),esk51_0)) != nil,
inference(scs_inference,[],[i_0_378,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1820,i_0_1822,i_0_1824,i_0_1844,i_0_1818,i_0_1845,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1929,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1859,i_0_1916,i_0_1949,i_0_370,i_0_386,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440,i_0_215,i_0_232,i_0_233,i_0_234,i_0_211,i_0_206,i_0_213,i_0_214]) ).
cnf(i_0_2130,plain,
cons(esk2_0,cons(esk1_0,esk51_0)) != cons(esk1_0,cons(esk1_0,esk51_0)),
inference(scs_inference,[],[i_0_378,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1820,i_0_1822,i_0_1824,i_0_1844,i_0_1818,i_0_1845,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1929,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1859,i_0_1916,i_0_1949,i_0_370,i_0_386,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440,i_0_215,i_0_232,i_0_233,i_0_234,i_0_211,i_0_206,i_0_213,i_0_214,i_0_237]) ).
cnf(i_0_2134,plain,
frontsegP(cons(esk45_1(cons(esk1_0,esk51_0)),esk49_0),cons(esk45_1(cons(esk1_0,esk51_0)),esk49_0)),
inference(scs_inference,[],[i_0_378,i_0_500,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1820,i_0_1822,i_0_1824,i_0_1844,i_0_1818,i_0_1845,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1929,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1943,i_0_1859,i_0_1916,i_0_1949,i_0_370,i_0_386,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440,i_0_215,i_0_232,i_0_233,i_0_234,i_0_211,i_0_206,i_0_213,i_0_214,i_0_237,i_0_205,i_0_438]) ).
cnf(i_0_2136,plain,
app(nil,cons(esk2_0,cons(esk1_0,nil))) != nil,
inference(scs_inference,[],[i_0_378,i_0_500,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1820,i_0_1822,i_0_1824,i_0_1844,i_0_1818,i_0_1845,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1929,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1943,i_0_1859,i_0_1916,i_0_1949,i_0_370,i_0_386,i_0_371,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440,i_0_215,i_0_232,i_0_233,i_0_234,i_0_211,i_0_206,i_0_213,i_0_214,i_0_237,i_0_205,i_0_438,i_0_201]) ).
cnf(i_0_2138,plain,
app(app(nil,cons(esk1_0,nil)),cons(esk1_0,nil)) != nil,
inference(scs_inference,[],[i_0_378,i_0_500,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1820,i_0_1822,i_0_1824,i_0_1844,i_0_1818,i_0_1845,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1929,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1943,i_0_1859,i_0_1916,i_0_1949,i_0_370,i_0_386,i_0_371,i_0_373,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440,i_0_215,i_0_232,i_0_233,i_0_234,i_0_211,i_0_206,i_0_213,i_0_214,i_0_237,i_0_205,i_0_438,i_0_201,i_0_192]) ).
cnf(i_0_2140,plain,
~ neq(nil,app(esk7_2(nil,nil),nil)),
inference(scs_inference,[],[i_0_378,i_0_500,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1820,i_0_1822,i_0_1824,i_0_1844,i_0_1818,i_0_1845,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1929,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1943,i_0_1859,i_0_1916,i_0_1949,i_0_370,i_0_386,i_0_371,i_0_373,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440,i_0_215,i_0_232,i_0_233,i_0_234,i_0_211,i_0_206,i_0_213,i_0_214,i_0_237,i_0_205,i_0_438,i_0_201,i_0_192,i_0_586]) ).
cnf(i_0_2141,plain,
~ neq(app(esk7_2(nil,nil),nil),nil),
inference(scs_inference,[],[i_0_378,i_0_500,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1820,i_0_1822,i_0_1824,i_0_1844,i_0_1818,i_0_1845,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1929,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1943,i_0_1859,i_0_1916,i_0_1949,i_0_370,i_0_386,i_0_371,i_0_373,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440,i_0_215,i_0_232,i_0_233,i_0_234,i_0_211,i_0_206,i_0_213,i_0_214,i_0_237,i_0_205,i_0_438,i_0_201,i_0_192,i_0_586,i_0_587]) ).
cnf(i_0_2143,plain,
~ singletonP(app(esk7_2(nil,nil),nil)),
inference(scs_inference,[],[i_0_378,i_0_500,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1820,i_0_1822,i_0_1824,i_0_1844,i_0_1818,i_0_1845,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1929,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1943,i_0_1859,i_0_1916,i_0_1949,i_0_502,i_0_370,i_0_386,i_0_371,i_0_373,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440,i_0_215,i_0_232,i_0_233,i_0_234,i_0_211,i_0_206,i_0_213,i_0_214,i_0_237,i_0_205,i_0_438,i_0_201,i_0_192,i_0_586,i_0_587,i_0_417,i_0_421]) ).
cnf(i_0_2144,plain,
~ segmentP(nil,cons(esk46_1(cons(esk1_0,esk51_0)),esk51_0)),
inference(scs_inference,[],[i_0_378,i_0_500,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1820,i_0_1822,i_0_1824,i_0_1844,i_0_1818,i_0_1845,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1929,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1943,i_0_1859,i_0_1916,i_0_1949,i_0_502,i_0_370,i_0_386,i_0_371,i_0_373,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440,i_0_215,i_0_232,i_0_233,i_0_234,i_0_211,i_0_206,i_0_213,i_0_214,i_0_237,i_0_205,i_0_438,i_0_201,i_0_192,i_0_586,i_0_587,i_0_417,i_0_421,i_0_306]) ).
cnf(i_0_2146,plain,
~ rearsegP(nil,cons(esk46_1(cons(esk1_0,esk51_0)),esk51_0)),
inference(scs_inference,[],[i_0_378,i_0_500,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1820,i_0_1822,i_0_1824,i_0_1844,i_0_1818,i_0_1845,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1929,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1943,i_0_1859,i_0_1916,i_0_1949,i_0_502,i_0_370,i_0_386,i_0_371,i_0_373,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440,i_0_215,i_0_232,i_0_233,i_0_234,i_0_211,i_0_206,i_0_213,i_0_214,i_0_237,i_0_205,i_0_438,i_0_201,i_0_192,i_0_586,i_0_587,i_0_417,i_0_421,i_0_306,i_0_307]) ).
cnf(i_0_2148,plain,
~ frontsegP(nil,cons(esk46_1(cons(esk1_0,esk51_0)),esk51_0)),
inference(scs_inference,[],[i_0_378,i_0_500,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1820,i_0_1822,i_0_1824,i_0_1844,i_0_1818,i_0_1845,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1929,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1943,i_0_1859,i_0_1916,i_0_1949,i_0_502,i_0_370,i_0_386,i_0_371,i_0_373,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440,i_0_215,i_0_232,i_0_233,i_0_234,i_0_211,i_0_206,i_0_213,i_0_214,i_0_237,i_0_205,i_0_438,i_0_201,i_0_192,i_0_586,i_0_587,i_0_417,i_0_421,i_0_306,i_0_307,i_0_308]) ).
cnf(i_0_2150,plain,
ssList(esk47_1(cons(esk46_1(cons(esk1_0,esk51_0)),esk51_0))),
inference(scs_inference,[],[i_0_378,i_0_500,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1820,i_0_1822,i_0_1824,i_0_1844,i_0_1818,i_0_1845,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1929,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1943,i_0_1859,i_0_1916,i_0_1949,i_0_502,i_0_370,i_0_386,i_0_371,i_0_373,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440,i_0_215,i_0_232,i_0_233,i_0_234,i_0_211,i_0_206,i_0_213,i_0_214,i_0_237,i_0_205,i_0_438,i_0_201,i_0_192,i_0_586,i_0_587,i_0_417,i_0_421,i_0_306,i_0_307,i_0_308,i_0_360]) ).
cnf(i_0_2152,plain,
ssList(esk44_1(cons(esk46_1(cons(esk1_0,esk51_0)),esk51_0))),
inference(scs_inference,[],[i_0_378,i_0_500,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1820,i_0_1822,i_0_1824,i_0_1844,i_0_1818,i_0_1845,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1929,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1943,i_0_1859,i_0_1916,i_0_1949,i_0_502,i_0_370,i_0_386,i_0_371,i_0_373,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440,i_0_215,i_0_232,i_0_233,i_0_234,i_0_211,i_0_206,i_0_213,i_0_214,i_0_237,i_0_205,i_0_438,i_0_201,i_0_192,i_0_586,i_0_587,i_0_417,i_0_421,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361]) ).
cnf(i_0_2154,plain,
ssList(tl(cons(esk46_1(cons(esk1_0,esk51_0)),esk51_0))),
inference(scs_inference,[],[i_0_378,i_0_500,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1820,i_0_1822,i_0_1824,i_0_1844,i_0_1818,i_0_1845,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1929,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1943,i_0_1859,i_0_1916,i_0_1949,i_0_502,i_0_370,i_0_386,i_0_371,i_0_373,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440,i_0_215,i_0_232,i_0_233,i_0_234,i_0_211,i_0_206,i_0_213,i_0_214,i_0_237,i_0_205,i_0_438,i_0_201,i_0_192,i_0_586,i_0_587,i_0_417,i_0_421,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362]) ).
cnf(i_0_2156,plain,
ssItem(esk46_1(cons(esk46_1(cons(esk1_0,esk51_0)),esk51_0))),
inference(scs_inference,[],[i_0_378,i_0_500,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1820,i_0_1822,i_0_1824,i_0_1844,i_0_1818,i_0_1845,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1929,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1943,i_0_1859,i_0_1916,i_0_1949,i_0_502,i_0_370,i_0_386,i_0_371,i_0_373,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440,i_0_215,i_0_232,i_0_233,i_0_234,i_0_211,i_0_206,i_0_213,i_0_214,i_0_237,i_0_205,i_0_438,i_0_201,i_0_192,i_0_586,i_0_587,i_0_417,i_0_421,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363]) ).
cnf(i_0_2158,plain,
ssItem(esk45_1(cons(esk46_1(cons(esk1_0,esk51_0)),esk51_0))),
inference(scs_inference,[],[i_0_378,i_0_500,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1820,i_0_1822,i_0_1824,i_0_1844,i_0_1818,i_0_1845,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1929,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1943,i_0_1859,i_0_1916,i_0_1949,i_0_502,i_0_370,i_0_386,i_0_371,i_0_373,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440,i_0_215,i_0_232,i_0_233,i_0_234,i_0_211,i_0_206,i_0_213,i_0_214,i_0_237,i_0_205,i_0_438,i_0_201,i_0_192,i_0_586,i_0_587,i_0_417,i_0_421,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364]) ).
cnf(i_0_2160,plain,
ssItem(hd(cons(esk46_1(cons(esk1_0,esk51_0)),esk51_0))),
inference(scs_inference,[],[i_0_378,i_0_500,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1820,i_0_1822,i_0_1824,i_0_1844,i_0_1818,i_0_1845,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1929,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1943,i_0_1859,i_0_1916,i_0_1949,i_0_502,i_0_370,i_0_386,i_0_371,i_0_373,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440,i_0_215,i_0_232,i_0_233,i_0_234,i_0_211,i_0_206,i_0_213,i_0_214,i_0_237,i_0_205,i_0_438,i_0_201,i_0_192,i_0_586,i_0_587,i_0_417,i_0_421,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365]) ).
cnf(i_0_2166,plain,
~ neq(esk46_1(cons(esk1_0,esk51_0)),esk46_1(cons(esk1_0,esk51_0))),
inference(scs_inference,[],[i_0_378,i_0_500,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1820,i_0_1822,i_0_1824,i_0_1844,i_0_1818,i_0_1845,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_1853,i_0_1929,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1943,i_0_1859,i_0_1916,i_0_1949,i_0_502,i_0_370,i_0_386,i_0_371,i_0_373,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440,i_0_215,i_0_232,i_0_233,i_0_234,i_0_211,i_0_206,i_0_213,i_0_214,i_0_237,i_0_205,i_0_438,i_0_201,i_0_192,i_0_586,i_0_587,i_0_417,i_0_421,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_292,i_0_293,i_0_452]) ).
cnf(i_0_2168,plain,
neq(cons(esk1_0,esk49_0),esk51_0),
inference(scs_inference,[],[i_0_378,i_0_500,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1820,i_0_1822,i_0_1824,i_0_1844,i_0_1818,i_0_1845,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_2055,i_0_1853,i_0_1929,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1943,i_0_1859,i_0_1916,i_0_1949,i_0_502,i_0_370,i_0_386,i_0_371,i_0_373,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440,i_0_215,i_0_232,i_0_233,i_0_234,i_0_211,i_0_206,i_0_213,i_0_214,i_0_237,i_0_205,i_0_438,i_0_201,i_0_192,i_0_586,i_0_587,i_0_417,i_0_421,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_292,i_0_293,i_0_452,i_0_419]) ).
cnf(i_0_2170,plain,
ssList(esk4_2(cons(esk46_1(cons(esk1_0,esk51_0)),esk51_0),esk46_1(cons(esk1_0,esk51_0)))),
inference(scs_inference,[],[i_0_378,i_0_500,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1820,i_0_1822,i_0_1824,i_0_1844,i_0_1818,i_0_1845,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_2055,i_0_1853,i_0_1929,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1943,i_0_1859,i_0_1916,i_0_1949,i_0_502,i_0_370,i_0_386,i_0_371,i_0_373,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440,i_0_215,i_0_232,i_0_233,i_0_234,i_0_211,i_0_206,i_0_213,i_0_214,i_0_237,i_0_205,i_0_438,i_0_201,i_0_192,i_0_586,i_0_587,i_0_417,i_0_421,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_292,i_0_293,i_0_452,i_0_419,i_0_247]) ).
cnf(i_0_2172,plain,
ssList(esk3_2(cons(esk46_1(cons(esk1_0,esk51_0)),esk51_0),esk46_1(cons(esk1_0,esk51_0)))),
inference(scs_inference,[],[i_0_378,i_0_500,i_0_524,i_0_526,i_0_528,i_0_563,i_0_565,i_0_1816,i_0_1874,i_0_1820,i_0_1822,i_0_1824,i_0_1844,i_0_1818,i_0_1845,i_0_1847,i_0_1849,i_0_1851,i_0_1924,i_0_1976,i_0_1855,i_0_1840,i_0_1804,i_0_1807,i_0_2055,i_0_1853,i_0_1929,i_0_1931,i_0_1933,i_0_1951,i_0_1958,i_0_1941,i_0_1943,i_0_1859,i_0_1916,i_0_1949,i_0_502,i_0_370,i_0_386,i_0_371,i_0_373,i_0_457,i_0_382,i_0_384,i_0_388,i_0_383,i_0_380,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_415,i_0_416,i_0_426,i_0_427,i_0_290,i_0_291,i_0_278,i_0_251,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_420,i_0_271,i_0_243,i_0_244,i_0_245,i_0_246,i_0_285,i_0_286,i_0_287,i_0_235,i_0_236,i_0_274,i_0_216,i_0_217,i_0_249,i_0_203,i_0_303,i_0_446,i_0_447,i_0_445,i_0_304,i_0_220,i_0_221,i_0_222,i_0_224,i_0_257,i_0_258,i_0_241,i_0_242,i_0_440,i_0_215,i_0_232,i_0_233,i_0_234,i_0_211,i_0_206,i_0_213,i_0_214,i_0_237,i_0_205,i_0_438,i_0_201,i_0_192,i_0_586,i_0_587,i_0_417,i_0_421,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_292,i_0_293,i_0_452,i_0_419,i_0_247,i_0_248]) ).
cnf(i_0_2176,plain,
~ lt(hd(cons(esk1_0,esk51_0)),hd(cons(esk1_0,esk51_0))),
inference(scs_inference,[],[i_0_1945,i_0_305]) ).
cnf(i_0_2178,plain,
~ memberP(nil,hd(cons(esk1_0,esk51_0))),
inference(scs_inference,[],[i_0_1945,i_0_305,i_0_309]) ).
cnf(i_0_2180,plain,
equalelemsP(cons(hd(cons(esk1_0,esk51_0)),nil)),
inference(scs_inference,[],[i_0_1945,i_0_305,i_0_309,i_0_294]) ).
cnf(i_0_2182,plain,
duplicatefreeP(cons(hd(cons(esk1_0,esk51_0)),nil)),
inference(scs_inference,[],[i_0_1945,i_0_305,i_0_309,i_0_294,i_0_295]) ).
cnf(i_0_2184,plain,
strictorderedP(cons(hd(cons(esk1_0,esk51_0)),nil)),
inference(scs_inference,[],[i_0_1945,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296]) ).
cnf(i_0_2186,plain,
totalorderedP(cons(hd(cons(esk1_0,esk51_0)),nil)),
inference(scs_inference,[],[i_0_1945,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297]) ).
cnf(i_0_2188,plain,
strictorderP(cons(hd(cons(esk1_0,esk51_0)),nil)),
inference(scs_inference,[],[i_0_1945,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298]) ).
cnf(i_0_2190,plain,
totalorderP(cons(hd(cons(esk1_0,esk51_0)),nil)),
inference(scs_inference,[],[i_0_1945,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299]) ).
cnf(i_0_2192,plain,
cyclefreeP(cons(hd(cons(esk1_0,esk51_0)),nil)),
inference(scs_inference,[],[i_0_1945,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300]) ).
cnf(i_0_2194,plain,
segmentP(app(esk51_0,esk51_0),nil),
inference(scs_inference,[],[i_0_1870,i_0_1945,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357]) ).
cnf(i_0_2196,plain,
rearsegP(app(esk51_0,esk51_0),nil),
inference(scs_inference,[],[i_0_1870,i_0_1945,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358]) ).
cnf(i_0_2198,plain,
frontsegP(app(esk51_0,esk51_0),nil),
inference(scs_inference,[],[i_0_1870,i_0_1945,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359]) ).
cnf(i_0_2200,plain,
app(nil,app(esk51_0,esk51_0)) = app(esk51_0,esk51_0),
inference(scs_inference,[],[i_0_1870,i_0_1945,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354]) ).
cnf(i_0_2202,plain,
app(app(esk51_0,esk51_0),nil) = app(esk51_0,esk51_0),
inference(scs_inference,[],[i_0_1870,i_0_1945,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355]) ).
cnf(i_0_2175,plain,
geq(esk1_0,esk1_0),
inference(equality_inference,[],[2142]) ).
cnf(i_0_2204,plain,
~ neq(nil,app(app(esk8_2(nil,nil),nil),esk9_2(nil,nil))),
inference(scs_inference,[],[i_0_1870,i_0_1945,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586]) ).
cnf(i_0_2205,plain,
~ neq(app(app(esk8_2(nil,nil),nil),esk9_2(nil,nil)),nil),
inference(scs_inference,[],[i_0_1870,i_0_1945,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587]) ).
cnf(i_0_2206,plain,
app(app(esk51_0,nil),X1) = app(esk51_0,X1),
inference(scs_inference,[],[i_0_1870,i_0_1842,i_0_1945,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392]) ).
cnf(i_0_2207,plain,
app(X1,app(esk51_0,nil)) = app(X1,esk51_0),
inference(scs_inference,[],[i_0_1870,i_0_1842,i_0_1945,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393]) ).
cnf(i_0_2208,plain,
cons(app(esk51_0,nil),X1) = cons(esk51_0,X1),
inference(scs_inference,[],[i_0_1870,i_0_1842,i_0_1945,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394]) ).
cnf(i_0_2209,plain,
cons(X1,app(esk51_0,nil)) = cons(X1,esk51_0),
inference(scs_inference,[],[i_0_1870,i_0_1842,i_0_1945,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395]) ).
cnf(i_0_2210,plain,
esk40_1(app(esk51_0,nil)) = esk40_1(esk51_0),
inference(scs_inference,[],[i_0_1870,i_0_1842,i_0_1945,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396]) ).
cnf(i_0_2211,plain,
esk41_1(app(esk51_0,nil)) = esk41_1(esk51_0),
inference(scs_inference,[],[i_0_1870,i_0_1842,i_0_1945,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397]) ).
cnf(i_0_2212,plain,
esk35_1(app(esk51_0,nil)) = esk35_1(esk51_0),
inference(scs_inference,[],[i_0_1870,i_0_1842,i_0_1945,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398]) ).
cnf(i_0_2213,plain,
hd(app(esk51_0,nil)) = hd(esk51_0),
inference(scs_inference,[],[i_0_1870,i_0_1842,i_0_1945,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399]) ).
cnf(i_0_2214,plain,
tl(app(esk51_0,nil)) = tl(esk51_0),
inference(scs_inference,[],[i_0_1870,i_0_1842,i_0_1945,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400]) ).
cnf(i_0_2215,plain,
esk47_1(app(esk51_0,nil)) = esk47_1(esk51_0),
inference(scs_inference,[],[i_0_1870,i_0_1842,i_0_1945,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401]) ).
cnf(i_0_2216,plain,
esk46_1(app(esk51_0,nil)) = esk46_1(esk51_0),
inference(scs_inference,[],[i_0_1870,i_0_1842,i_0_1945,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402]) ).
cnf(i_0_2217,plain,
esk36_1(app(esk51_0,nil)) = esk36_1(esk51_0),
inference(scs_inference,[],[i_0_1870,i_0_1842,i_0_1945,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403]) ).
cnf(i_0_2218,plain,
nil != cons(esk1_0,nil),
inference(scs_inference,[],[i_0_1870,i_0_1842,i_0_1888,i_0_1945,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390]) ).
cnf(i_0_2219,plain,
cons(hd(cons(esk1_0,esk51_0)),esk51_0) != esk51_0,
inference(scs_inference,[],[i_0_378,i_0_1870,i_0_1842,i_0_1888,i_0_1945,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290]) ).
cnf(i_0_2221,plain,
nil != cons(hd(cons(esk1_0,esk51_0)),esk51_0),
inference(scs_inference,[],[i_0_378,i_0_1870,i_0_1842,i_0_1888,i_0_1945,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291]) ).
cnf(i_0_2223,plain,
tl(cons(hd(cons(esk1_0,esk51_0)),esk51_0)) = esk51_0,
inference(scs_inference,[],[i_0_378,i_0_1870,i_0_1842,i_0_1888,i_0_1945,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278]) ).
cnf(i_0_2225,plain,
cons(hd(cons(esk1_0,esk51_0)),esk51_0) = app(cons(hd(cons(esk1_0,esk51_0)),nil),esk51_0),
inference(scs_inference,[],[i_0_378,i_0_1870,i_0_1842,i_0_1888,i_0_1945,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251]) ).
cnf(i_0_2227,plain,
~ segmentP(nil,app(cons(esk1_0,esk51_0),cons(esk1_0,esk51_0))),
inference(scs_inference,[],[i_0_378,i_0_1870,i_0_1842,i_0_1888,i_0_1945,i_0_2052,i_0_2068,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306]) ).
cnf(i_0_2229,plain,
~ rearsegP(nil,app(cons(esk1_0,esk51_0),cons(esk1_0,esk51_0))),
inference(scs_inference,[],[i_0_378,i_0_1870,i_0_1842,i_0_1888,i_0_1945,i_0_2052,i_0_2068,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307]) ).
cnf(i_0_2231,plain,
~ frontsegP(nil,app(cons(esk1_0,esk51_0),cons(esk1_0,esk51_0))),
inference(scs_inference,[],[i_0_378,i_0_1870,i_0_1842,i_0_1888,i_0_1945,i_0_2052,i_0_2068,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308]) ).
cnf(i_0_2233,plain,
ssList(esk47_1(app(cons(esk1_0,esk51_0),cons(esk1_0,esk51_0)))),
inference(scs_inference,[],[i_0_378,i_0_1870,i_0_1842,i_0_1888,i_0_1945,i_0_2052,i_0_2068,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360]) ).
cnf(i_0_2235,plain,
ssList(esk44_1(app(cons(esk1_0,esk51_0),cons(esk1_0,esk51_0)))),
inference(scs_inference,[],[i_0_378,i_0_1870,i_0_1842,i_0_1888,i_0_1945,i_0_2052,i_0_2068,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361]) ).
cnf(i_0_2237,plain,
ssList(tl(app(cons(esk1_0,esk51_0),cons(esk1_0,esk51_0)))),
inference(scs_inference,[],[i_0_378,i_0_1870,i_0_1842,i_0_1888,i_0_1945,i_0_2052,i_0_2068,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362]) ).
cnf(i_0_2239,plain,
ssItem(esk46_1(app(cons(esk1_0,esk51_0),cons(esk1_0,esk51_0)))),
inference(scs_inference,[],[i_0_378,i_0_1870,i_0_1842,i_0_1888,i_0_1945,i_0_2052,i_0_2068,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363]) ).
cnf(i_0_2241,plain,
ssItem(esk45_1(app(cons(esk1_0,esk51_0),cons(esk1_0,esk51_0)))),
inference(scs_inference,[],[i_0_378,i_0_1870,i_0_1842,i_0_1888,i_0_1945,i_0_2052,i_0_2068,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364]) ).
cnf(i_0_2243,plain,
ssItem(hd(app(cons(esk1_0,esk51_0),cons(esk1_0,esk51_0)))),
inference(scs_inference,[],[i_0_378,i_0_1870,i_0_1842,i_0_1888,i_0_1945,i_0_2052,i_0_2068,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365]) ).
cnf(i_0_2245,plain,
hd(cons(hd(cons(esk1_0,esk51_0)),esk51_0)) = hd(cons(esk1_0,esk51_0)),
inference(scs_inference,[],[i_0_378,i_0_1870,i_0_1842,i_0_1888,i_0_1945,i_0_2052,i_0_2068,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279]) ).
cnf(i_0_2247,plain,
ssList(cons(hd(cons(esk1_0,esk51_0)),esk51_0)),
inference(scs_inference,[],[i_0_378,i_0_1870,i_0_1842,i_0_1888,i_0_1945,i_0_2052,i_0_2068,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281]) ).
cnf(i_0_2249,plain,
segmentP(app(app(esk51_0,esk51_0),esk49_0),esk51_0),
inference(scs_inference,[],[i_0_378,i_0_1870,i_0_1842,i_0_1805,i_0_1888,i_0_1922,i_0_1945,i_0_2052,i_0_2068,i_0_2084,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407]) ).
cnf(i_0_2251,plain,
~ segmentP(nil,app(nil,cons(esk1_0,esk51_0))),
inference(scs_inference,[],[i_0_378,i_0_1870,i_0_1842,i_0_1805,i_0_1888,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_2068,i_0_2084,i_0_1929,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408]) ).
cnf(i_0_2252,plain,
frontsegP(app(esk51_0,esk49_0),esk51_0),
inference(scs_inference,[],[i_0_378,i_0_1870,i_0_1912,i_0_1842,i_0_1805,i_0_2250,i_0_1888,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_2068,i_0_2084,i_0_1929,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411]) ).
cnf(i_0_2254,plain,
~ frontsegP(nil,app(nil,cons(esk1_0,esk51_0))),
inference(scs_inference,[],[i_0_378,i_0_1870,i_0_1912,i_0_1842,i_0_1805,i_0_2250,i_0_1888,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_2068,i_0_2084,i_0_1929,i_0_1933,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412]) ).
cnf(i_0_2255,plain,
rearsegP(app(cons(esk1_0,nil),esk51_0),nil),
inference(scs_inference,[],[i_0_378,i_0_1870,i_0_1912,i_0_1842,i_0_1805,i_0_2250,i_0_1992,i_0_1888,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_2068,i_0_2084,i_0_1929,i_0_1933,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413]) ).
cnf(i_0_2256,plain,
~ rearsegP(nil,app(nil,cons(esk1_0,esk51_0))),
inference(scs_inference,[],[i_0_378,i_0_1870,i_0_1912,i_0_1842,i_0_1805,i_0_2250,i_0_1992,i_0_1888,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_2068,i_0_2084,i_0_1929,i_0_1931,i_0_1933,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414]) ).
cnf(i_0_2257,plain,
cons(esk1_0,esk50_0) != app(nil,nil),
inference(scs_inference,[],[i_0_378,i_0_747,i_0_1870,i_0_1912,i_0_1842,i_0_1805,i_0_2250,i_0_1920,i_0_1992,i_0_1888,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_2068,i_0_2084,i_0_1929,i_0_1931,i_0_1933,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409]) ).
cnf(i_0_2258,plain,
cons(esk2_0,esk49_0) != cons(esk1_0,esk51_0),
inference(scs_inference,[],[i_0_378,i_0_747,i_0_1870,i_0_1912,i_0_2026,i_0_1842,i_0_1805,i_0_2250,i_0_1920,i_0_1992,i_0_1888,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_2068,i_0_2084,i_0_1929,i_0_1931,i_0_1807,i_0_1933,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391]) ).
cnf(i_0_2260,plain,
ssList(app(app(esk51_0,esk51_0),app(esk51_0,esk51_0))),
inference(scs_inference,[],[i_0_378,i_0_747,i_0_1870,i_0_1912,i_0_2026,i_0_1842,i_0_1805,i_0_2250,i_0_1920,i_0_1992,i_0_1888,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_2068,i_0_2084,i_0_1929,i_0_1931,i_0_1807,i_0_1933,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280]) ).
cnf(i_0_2262,plain,
~ neq(app(esk51_0,nil),app(nil,esk51_0)),
inference(scs_inference,[],[i_0_378,i_0_747,i_0_1870,i_0_1912,i_0_2026,i_0_1842,i_0_1805,i_0_2250,i_0_1920,i_0_1992,i_0_1888,i_0_1873,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_2068,i_0_2084,i_0_1929,i_0_1931,i_0_1807,i_0_1933,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_419]) ).
cnf(i_0_2263,plain,
~ neq(app(nil,esk51_0),app(esk51_0,nil)),
inference(scs_inference,[],[i_0_378,i_0_747,i_0_1870,i_0_1912,i_0_2026,i_0_1842,i_0_1805,i_0_2250,i_0_1920,i_0_1992,i_0_1888,i_0_1873,i_0_1872,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_2068,i_0_2084,i_0_1929,i_0_1931,i_0_1807,i_0_1933,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_419,i_0_420]) ).
cnf(i_0_2264,plain,
~ lt(hd(app(cons(esk1_0,esk51_0),cons(esk1_0,esk51_0))),hd(cons(esk1_0,esk51_0))),
inference(scs_inference,[],[i_0_378,i_0_747,i_0_1870,i_0_1912,i_0_2026,i_0_1842,i_0_1805,i_0_2250,i_0_1920,i_0_1992,i_0_1888,i_0_1873,i_0_1872,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_2068,i_0_2084,i_0_2076,i_0_1929,i_0_1931,i_0_1807,i_0_1933,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_419,i_0_420,i_0_283]) ).
cnf(i_0_2266,plain,
~ gt(esk46_1(cons(esk1_0,esk51_0)),hd(cons(esk1_0,esk51_0))),
inference(scs_inference,[],[i_0_378,i_0_747,i_0_1870,i_0_1912,i_0_2026,i_0_1842,i_0_1805,i_0_2250,i_0_1920,i_0_1992,i_0_1888,i_0_1873,i_0_1872,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_2068,i_0_2029,i_0_2084,i_0_2076,i_0_1929,i_0_1931,i_0_1807,i_0_1933,i_0_1941,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_419,i_0_420,i_0_283,i_0_271]) ).
cnf(i_0_2276,plain,
ssList(esk9_2(esk48_0,esk48_0)),
inference(scs_inference,[],[i_0_378,i_0_747,i_0_1870,i_0_1912,i_0_2026,i_0_1842,i_0_1805,i_0_2250,i_0_1920,i_0_1992,i_0_1888,i_0_1873,i_0_1872,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_2068,i_0_2029,i_0_2084,i_0_2076,i_0_1929,i_0_1931,i_0_1807,i_0_524,i_0_1933,i_0_1941,i_0_381,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_419,i_0_420,i_0_283,i_0_271,i_0_286,i_0_274,i_0_217,i_0_249,i_0_243]) ).
cnf(i_0_2278,plain,
ssList(esk8_2(esk48_0,esk48_0)),
inference(scs_inference,[],[i_0_378,i_0_747,i_0_1870,i_0_1912,i_0_2026,i_0_1842,i_0_1805,i_0_2250,i_0_1920,i_0_1992,i_0_1888,i_0_1873,i_0_1872,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_2068,i_0_2029,i_0_2084,i_0_2076,i_0_1929,i_0_1931,i_0_1807,i_0_524,i_0_1933,i_0_1941,i_0_381,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_419,i_0_420,i_0_283,i_0_271,i_0_286,i_0_274,i_0_217,i_0_249,i_0_243,i_0_244]) ).
cnf(i_0_2280,plain,
ssList(esk7_2(esk48_0,esk48_0)),
inference(scs_inference,[],[i_0_378,i_0_747,i_0_1870,i_0_1912,i_0_2026,i_0_1842,i_0_1805,i_0_2250,i_0_1920,i_0_1992,i_0_1888,i_0_1873,i_0_1872,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_2068,i_0_2029,i_0_2084,i_0_2076,i_0_1929,i_0_1931,i_0_1807,i_0_524,i_0_526,i_0_1933,i_0_1941,i_0_381,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_419,i_0_420,i_0_283,i_0_271,i_0_286,i_0_274,i_0_217,i_0_249,i_0_243,i_0_244,i_0_245]) ).
cnf(i_0_2282,plain,
ssList(esk6_2(nil,nil)),
inference(scs_inference,[],[i_0_378,i_0_567,i_0_747,i_0_1870,i_0_1912,i_0_2026,i_0_1842,i_0_1805,i_0_2250,i_0_1920,i_0_1992,i_0_1888,i_0_1873,i_0_1872,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_2068,i_0_2029,i_0_2084,i_0_2076,i_0_1929,i_0_1931,i_0_1807,i_0_524,i_0_526,i_0_1933,i_0_1941,i_0_382,i_0_381,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_419,i_0_420,i_0_283,i_0_271,i_0_286,i_0_274,i_0_217,i_0_249,i_0_243,i_0_244,i_0_245,i_0_246]) ).
cnf(i_0_2284,plain,
nil != app(esk51_0,app(cons(esk1_0,esk51_0),cons(esk1_0,esk51_0))),
inference(scs_inference,[],[i_0_378,i_0_567,i_0_747,i_0_1870,i_0_1912,i_0_2026,i_0_1842,i_0_1805,i_0_2250,i_0_1920,i_0_1992,i_0_1888,i_0_1873,i_0_1872,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_2068,i_0_2029,i_0_2084,i_0_2076,i_0_1929,i_0_1931,i_0_1807,i_0_524,i_0_526,i_0_1933,i_0_1941,i_0_382,i_0_381,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_419,i_0_420,i_0_283,i_0_271,i_0_286,i_0_274,i_0_217,i_0_249,i_0_243,i_0_244,i_0_245,i_0_246,i_0_287]) ).
cnf(i_0_2286,plain,
app(esk7_2(esk48_0,esk48_0),esk48_0) = esk48_0,
inference(scs_inference,[],[i_0_378,i_0_567,i_0_747,i_0_1870,i_0_1912,i_0_2026,i_0_1842,i_0_1805,i_0_2250,i_0_1920,i_0_1992,i_0_1888,i_0_1873,i_0_1872,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_2068,i_0_2029,i_0_2084,i_0_2076,i_0_1929,i_0_1931,i_0_1807,i_0_524,i_0_526,i_0_1933,i_0_1941,i_0_382,i_0_381,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_419,i_0_420,i_0_283,i_0_271,i_0_286,i_0_274,i_0_217,i_0_249,i_0_243,i_0_244,i_0_245,i_0_246,i_0_287,i_0_235]) ).
cnf(i_0_2288,plain,
app(nil,esk6_2(nil,nil)) = nil,
inference(scs_inference,[],[i_0_378,i_0_567,i_0_747,i_0_1870,i_0_1912,i_0_2026,i_0_1842,i_0_1805,i_0_2250,i_0_1920,i_0_1992,i_0_1888,i_0_1873,i_0_1872,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_2068,i_0_2029,i_0_2084,i_0_2076,i_0_1929,i_0_1931,i_0_1807,i_0_524,i_0_526,i_0_1933,i_0_1941,i_0_382,i_0_381,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_419,i_0_420,i_0_283,i_0_271,i_0_286,i_0_274,i_0_217,i_0_249,i_0_243,i_0_244,i_0_245,i_0_246,i_0_287,i_0_235,i_0_236]) ).
cnf(i_0_2292,plain,
app(app(esk8_2(esk48_0,esk48_0),esk48_0),esk9_2(esk48_0,esk48_0)) = esk48_0,
inference(scs_inference,[],[i_0_378,i_0_567,i_0_747,i_0_1870,i_0_1912,i_0_2026,i_0_1842,i_0_1805,i_0_2250,i_0_1920,i_0_1992,i_0_1888,i_0_1873,i_0_1872,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_2068,i_0_2029,i_0_2084,i_0_2076,i_0_1929,i_0_1931,i_0_1807,i_0_524,i_0_526,i_0_1933,i_0_1941,i_0_382,i_0_381,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_419,i_0_420,i_0_283,i_0_271,i_0_286,i_0_274,i_0_217,i_0_249,i_0_243,i_0_244,i_0_245,i_0_246,i_0_287,i_0_235,i_0_236,i_0_216,i_0_203]) ).
cnf(i_0_2294,plain,
~ strictorderedP(cons(esk1_0,cons(esk1_0,esk51_0))),
inference(scs_inference,[],[i_0_378,i_0_567,i_0_747,i_0_1870,i_0_1912,i_0_2026,i_0_1842,i_0_1805,i_0_2250,i_0_1920,i_0_1992,i_0_1888,i_0_1873,i_0_1872,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_2030,i_0_2068,i_0_2029,i_0_2084,i_0_2076,i_0_1929,i_0_1931,i_0_1807,i_0_524,i_0_526,i_0_1933,i_0_1855,i_0_1851,i_0_1941,i_0_382,i_0_384,i_0_381,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_419,i_0_420,i_0_283,i_0_271,i_0_286,i_0_274,i_0_217,i_0_249,i_0_243,i_0_244,i_0_245,i_0_246,i_0_287,i_0_235,i_0_236,i_0_216,i_0_203,i_0_225]) ).
cnf(i_0_2296,plain,
rearsegP(app(esk51_0,esk49_0),esk49_0),
inference(scs_inference,[],[i_0_378,i_0_498,i_0_567,i_0_747,i_0_1870,i_0_1912,i_0_2026,i_0_1842,i_0_1805,i_0_2250,i_0_1920,i_0_1992,i_0_1888,i_0_1873,i_0_1872,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_2030,i_0_2068,i_0_2029,i_0_2084,i_0_2076,i_0_1929,i_0_1931,i_0_1807,i_0_524,i_0_526,i_0_1933,i_0_1855,i_0_1851,i_0_1941,i_0_382,i_0_384,i_0_381,i_0_380,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_419,i_0_420,i_0_283,i_0_271,i_0_286,i_0_274,i_0_217,i_0_249,i_0_243,i_0_244,i_0_245,i_0_246,i_0_287,i_0_235,i_0_236,i_0_216,i_0_203,i_0_225,i_0_220]) ).
cnf(i_0_2298,plain,
frontsegP(app(esk50_0,esk51_0),esk50_0),
inference(scs_inference,[],[i_0_378,i_0_498,i_0_550,i_0_567,i_0_747,i_0_1870,i_0_1912,i_0_2026,i_0_1842,i_0_1805,i_0_2250,i_0_1920,i_0_1992,i_0_1888,i_0_1873,i_0_1872,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_2030,i_0_2068,i_0_2029,i_0_2084,i_0_2076,i_0_1929,i_0_1931,i_0_1807,i_0_524,i_0_526,i_0_1933,i_0_1855,i_0_1851,i_0_1941,i_0_382,i_0_384,i_0_381,i_0_379,i_0_380,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_419,i_0_420,i_0_283,i_0_271,i_0_286,i_0_274,i_0_217,i_0_249,i_0_243,i_0_244,i_0_245,i_0_246,i_0_287,i_0_235,i_0_236,i_0_216,i_0_203,i_0_225,i_0_220,i_0_221]) ).
cnf(i_0_2300,plain,
segmentP(app(app(esk51_0,esk51_0),app(esk51_0,esk51_0)),esk51_0),
inference(scs_inference,[],[i_0_378,i_0_498,i_0_550,i_0_567,i_0_747,i_0_1870,i_0_1912,i_0_2026,i_0_1842,i_0_1805,i_0_2250,i_0_1920,i_0_1992,i_0_1888,i_0_1873,i_0_1872,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_2030,i_0_2068,i_0_2029,i_0_2084,i_0_2076,i_0_1929,i_0_1931,i_0_1807,i_0_524,i_0_526,i_0_1933,i_0_1855,i_0_1851,i_0_1941,i_0_382,i_0_384,i_0_381,i_0_379,i_0_380,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_419,i_0_420,i_0_283,i_0_271,i_0_286,i_0_274,i_0_217,i_0_249,i_0_243,i_0_244,i_0_245,i_0_246,i_0_287,i_0_235,i_0_236,i_0_216,i_0_203,i_0_225,i_0_220,i_0_221,i_0_439]) ).
cnf(i_0_2302,plain,
~ frontsegP(cons(esk2_0,esk51_0),cons(hd(cons(esk1_0,esk51_0)),esk51_0)),
inference(scs_inference,[],[i_0_378,i_0_498,i_0_550,i_0_567,i_0_747,i_0_1870,i_0_1912,i_0_2026,i_0_1842,i_0_1805,i_0_2250,i_0_1920,i_0_1992,i_0_1888,i_0_1873,i_0_1872,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_1867,i_0_2030,i_0_2068,i_0_2029,i_0_2084,i_0_2076,i_0_1929,i_0_1931,i_0_1807,i_0_524,i_0_526,i_0_1933,i_0_1855,i_0_1851,i_0_1941,i_0_382,i_0_384,i_0_383,i_0_381,i_0_379,i_0_380,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_419,i_0_420,i_0_283,i_0_271,i_0_286,i_0_274,i_0_217,i_0_249,i_0_243,i_0_244,i_0_245,i_0_246,i_0_287,i_0_235,i_0_236,i_0_216,i_0_203,i_0_225,i_0_220,i_0_221,i_0_439,i_0_207]) ).
cnf(i_0_2306,plain,
~ memberP(app(nil,nil),hd(cons(esk1_0,esk51_0))),
inference(scs_inference,[],[i_0_378,i_0_498,i_0_550,i_0_567,i_0_747,i_0_1870,i_0_1912,i_0_2026,i_0_1842,i_0_1805,i_0_2250,i_0_1920,i_0_1992,i_0_1888,i_0_1873,i_0_1872,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_1867,i_0_2030,i_0_2068,i_0_2029,i_0_2084,i_0_2076,i_0_1929,i_0_1931,i_0_1807,i_0_524,i_0_526,i_0_1933,i_0_1855,i_0_1851,i_0_1941,i_0_382,i_0_384,i_0_383,i_0_381,i_0_379,i_0_380,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_419,i_0_420,i_0_283,i_0_271,i_0_286,i_0_274,i_0_217,i_0_249,i_0_243,i_0_244,i_0_245,i_0_246,i_0_287,i_0_235,i_0_236,i_0_216,i_0_203,i_0_225,i_0_220,i_0_221,i_0_439,i_0_207,i_0_238,i_0_211]) ).
cnf(i_0_2308,plain,
segmentP(app(app(esk51_0,esk49_0),esk51_0),esk49_0),
inference(scs_inference,[],[i_0_378,i_0_496,i_0_498,i_0_550,i_0_567,i_0_747,i_0_1870,i_0_1912,i_0_2026,i_0_1842,i_0_1805,i_0_2250,i_0_1920,i_0_1992,i_0_1888,i_0_1873,i_0_1872,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_1867,i_0_2030,i_0_2068,i_0_2029,i_0_2084,i_0_2076,i_0_1929,i_0_1931,i_0_1807,i_0_524,i_0_526,i_0_1933,i_0_1855,i_0_1851,i_0_1941,i_0_382,i_0_384,i_0_383,i_0_381,i_0_379,i_0_380,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_419,i_0_420,i_0_283,i_0_271,i_0_286,i_0_274,i_0_217,i_0_249,i_0_243,i_0_244,i_0_245,i_0_246,i_0_287,i_0_235,i_0_236,i_0_216,i_0_203,i_0_225,i_0_220,i_0_221,i_0_439,i_0_207,i_0_238,i_0_211,i_0_206]) ).
cnf(i_0_2310,plain,
app(nil,cons(hd(cons(esk1_0,esk51_0)),nil)) != nil,
inference(scs_inference,[],[i_0_378,i_0_496,i_0_498,i_0_550,i_0_567,i_0_747,i_0_1870,i_0_1912,i_0_2026,i_0_1842,i_0_1805,i_0_2250,i_0_1920,i_0_1992,i_0_1888,i_0_1873,i_0_1872,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_1867,i_0_2030,i_0_2068,i_0_2029,i_0_2084,i_0_2076,i_0_1929,i_0_1931,i_0_1807,i_0_524,i_0_526,i_0_1933,i_0_1855,i_0_1851,i_0_1941,i_0_382,i_0_384,i_0_383,i_0_381,i_0_379,i_0_380,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_419,i_0_420,i_0_283,i_0_271,i_0_286,i_0_274,i_0_217,i_0_249,i_0_243,i_0_244,i_0_245,i_0_246,i_0_287,i_0_235,i_0_236,i_0_216,i_0_203,i_0_225,i_0_220,i_0_221,i_0_439,i_0_207,i_0_238,i_0_211,i_0_206,i_0_214]) ).
cnf(i_0_2312,plain,
frontsegP(cons(hd(cons(esk1_0,esk51_0)),esk50_0),cons(hd(cons(esk1_0,esk51_0)),esk50_0)),
inference(scs_inference,[],[i_0_378,i_0_496,i_0_498,i_0_550,i_0_567,i_0_747,i_0_1870,i_0_1912,i_0_2026,i_0_1842,i_0_1805,i_0_2250,i_0_1920,i_0_1992,i_0_1888,i_0_1873,i_0_1872,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_1867,i_0_2030,i_0_2068,i_0_2029,i_0_2084,i_0_2076,i_0_1929,i_0_1931,i_0_1807,i_0_524,i_0_526,i_0_1933,i_0_1855,i_0_1851,i_0_1941,i_0_382,i_0_384,i_0_383,i_0_381,i_0_379,i_0_380,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_419,i_0_420,i_0_283,i_0_271,i_0_286,i_0_274,i_0_217,i_0_249,i_0_243,i_0_244,i_0_245,i_0_246,i_0_287,i_0_235,i_0_236,i_0_216,i_0_203,i_0_225,i_0_220,i_0_221,i_0_439,i_0_207,i_0_238,i_0_211,i_0_206,i_0_214,i_0_438]) ).
cnf(i_0_2314,plain,
nil != cons(esk1_0,cons(esk1_0,esk51_0)),
inference(scs_inference,[],[i_0_378,i_0_496,i_0_498,i_0_550,i_0_567,i_0_747,i_0_1870,i_0_1912,i_0_2026,i_0_1842,i_0_1805,i_0_2250,i_0_1920,i_0_1992,i_0_1888,i_0_1873,i_0_1872,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_1867,i_0_2030,i_0_2068,i_0_2029,i_0_2084,i_0_2076,i_0_1929,i_0_1931,i_0_1807,i_0_524,i_0_526,i_0_1933,i_0_1855,i_0_1851,i_0_1941,i_0_382,i_0_384,i_0_383,i_0_381,i_0_379,i_0_380,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_419,i_0_420,i_0_283,i_0_271,i_0_286,i_0_274,i_0_217,i_0_249,i_0_243,i_0_244,i_0_245,i_0_246,i_0_287,i_0_235,i_0_236,i_0_216,i_0_203,i_0_225,i_0_220,i_0_221,i_0_439,i_0_207,i_0_238,i_0_211,i_0_206,i_0_214,i_0_438,i_0_535]) ).
cnf(i_0_2316,plain,
rearsegP(app(app(esk51_0,esk51_0),app(esk51_0,esk51_0)),app(esk51_0,esk51_0)),
inference(scs_inference,[],[i_0_378,i_0_496,i_0_498,i_0_550,i_0_567,i_0_747,i_0_1870,i_0_1912,i_0_2026,i_0_1842,i_0_1805,i_0_2250,i_0_1920,i_0_1992,i_0_1888,i_0_1873,i_0_1872,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_1867,i_0_2030,i_0_2068,i_0_2029,i_0_2084,i_0_2076,i_0_1929,i_0_1931,i_0_1807,i_0_524,i_0_526,i_0_1933,i_0_1855,i_0_504,i_0_1851,i_0_1941,i_0_382,i_0_384,i_0_383,i_0_381,i_0_379,i_0_380,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_419,i_0_420,i_0_283,i_0_271,i_0_286,i_0_274,i_0_217,i_0_249,i_0_243,i_0_244,i_0_245,i_0_246,i_0_287,i_0_235,i_0_236,i_0_216,i_0_203,i_0_225,i_0_220,i_0_221,i_0_439,i_0_207,i_0_238,i_0_211,i_0_206,i_0_214,i_0_438,i_0_535,i_0_424,i_0_446]) ).
cnf(i_0_2318,plain,
memberP(cons(hd(cons(esk1_0,esk51_0)),esk51_0),hd(cons(esk1_0,esk51_0))),
inference(scs_inference,[],[i_0_378,i_0_496,i_0_498,i_0_550,i_0_567,i_0_747,i_0_1870,i_0_1912,i_0_2026,i_0_1842,i_0_1805,i_0_2250,i_0_1920,i_0_1992,i_0_1888,i_0_1873,i_0_1872,i_0_2010,i_0_1922,i_0_1945,i_0_2052,i_0_1865,i_0_1867,i_0_2030,i_0_2068,i_0_2029,i_0_2084,i_0_2076,i_0_1929,i_0_1931,i_0_1807,i_0_524,i_0_526,i_0_1933,i_0_1855,i_0_504,i_0_1851,i_0_1941,i_0_382,i_0_384,i_0_383,i_0_381,i_0_379,i_0_380,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_586,i_0_587,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_402,i_0_403,i_0_390,i_0_290,i_0_291,i_0_278,i_0_251,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_279,i_0_281,i_0_407,i_0_408,i_0_411,i_0_412,i_0_413,i_0_414,i_0_409,i_0_391,i_0_280,i_0_419,i_0_420,i_0_283,i_0_271,i_0_286,i_0_274,i_0_217,i_0_249,i_0_243,i_0_244,i_0_245,i_0_246,i_0_287,i_0_235,i_0_236,i_0_216,i_0_203,i_0_225,i_0_220,i_0_221,i_0_439,i_0_207,i_0_238,i_0_211,i_0_206,i_0_214,i_0_438,i_0_535,i_0_424,i_0_446,i_0_445]) ).
cnf(i_0_2407,plain,
cons(X1,app(nil,esk51_0)) = cons(X1,esk51_0),
inference(rename_variables,[],[i_0_2017]) ).
cnf(i_0_2729,plain,
~ memberP(nil,esk45_1(cons(esk46_1(cons(esk1_0,esk51_0)),esk51_0))),
inference(scs_inference,[],[i_0_2158,i_0_305,i_0_309]) ).
cnf(i_0_2731,plain,
equalelemsP(cons(esk45_1(cons(esk46_1(cons(esk1_0,esk51_0)),esk51_0)),nil)),
inference(scs_inference,[],[i_0_2158,i_0_305,i_0_309,i_0_294]) ).
cnf(i_0_2733,plain,
duplicatefreeP(cons(esk45_1(cons(esk46_1(cons(esk1_0,esk51_0)),esk51_0)),nil)),
inference(scs_inference,[],[i_0_2158,i_0_305,i_0_309,i_0_294,i_0_295]) ).
cnf(i_0_2735,plain,
strictorderedP(cons(esk45_1(cons(esk46_1(cons(esk1_0,esk51_0)),esk51_0)),nil)),
inference(scs_inference,[],[i_0_2158,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296]) ).
cnf(i_0_2737,plain,
totalorderedP(cons(esk45_1(cons(esk46_1(cons(esk1_0,esk51_0)),esk51_0)),nil)),
inference(scs_inference,[],[i_0_2158,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297]) ).
cnf(i_0_2739,plain,
strictorderP(cons(esk45_1(cons(esk46_1(cons(esk1_0,esk51_0)),esk51_0)),nil)),
inference(scs_inference,[],[i_0_2158,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298]) ).
cnf(i_0_2741,plain,
totalorderP(cons(esk45_1(cons(esk46_1(cons(esk1_0,esk51_0)),esk51_0)),nil)),
inference(scs_inference,[],[i_0_2158,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299]) ).
cnf(i_0_2743,plain,
cyclefreeP(cons(esk45_1(cons(esk46_1(cons(esk1_0,esk51_0)),esk51_0)),nil)),
inference(scs_inference,[],[i_0_2158,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300]) ).
cnf(i_0_2745,plain,
segmentP(esk6_2(esk51_0,esk51_0),nil),
inference(scs_inference,[],[i_0_1882,i_0_2158,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357]) ).
cnf(i_0_2747,plain,
rearsegP(esk6_2(esk51_0,esk51_0),nil),
inference(scs_inference,[],[i_0_1882,i_0_2158,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358]) ).
cnf(i_0_2749,plain,
frontsegP(esk6_2(esk51_0,esk51_0),nil),
inference(scs_inference,[],[i_0_1882,i_0_2158,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359]) ).
cnf(i_0_2751,plain,
app(nil,esk6_2(esk51_0,esk51_0)) = esk6_2(esk51_0,esk51_0),
inference(scs_inference,[],[i_0_1882,i_0_2158,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354]) ).
cnf(i_0_2753,plain,
app(esk6_2(esk51_0,esk51_0),nil) = esk6_2(esk51_0,esk51_0),
inference(scs_inference,[],[i_0_1882,i_0_2158,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355]) ).
cnf(i_0_2755,plain,
app(esk35_1(esk51_0),X1) = app(esk35_1(esk49_0),X1),
inference(scs_inference,[],[i_0_1810,i_0_1882,i_0_2158,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_392]) ).
cnf(i_0_2756,plain,
app(X1,esk35_1(esk51_0)) = app(X1,esk35_1(esk49_0)),
inference(scs_inference,[],[i_0_1810,i_0_1882,i_0_2158,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_392,i_0_393]) ).
cnf(i_0_2757,plain,
cons(esk35_1(esk51_0),X1) = cons(esk35_1(esk49_0),X1),
inference(scs_inference,[],[i_0_1810,i_0_1882,i_0_2158,i_0_305,i_0_309,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_300,i_0_357,i_0_358,i_0_359,i_0_354,i_0_355,i_0_392,i_0_393,i_0_394]) ).
cnf(c_0_2324,plain,
app(X1,app(esk51_0,nil)) = app(X1,esk51_0),
i_0_2207 ).
cnf(c_0_2325,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
i_0_354 ).
cnf(c_0_2326,negated_conjecture,
ssList(esk49_0),
i_0_380 ).
cnf(c_0_2327,negated_conjecture,
esk49_0 = esk51_0,
i_0_387 ).
cnf(c_0_2328,plain,
( nil = X1
| nil != app(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_286 ).
cnf(c_0_2329,plain,
app(app(esk8_2(esk48_0,esk48_0),esk48_0),esk9_2(esk48_0,esk48_0)) = esk48_0,
i_0_2292 ).
cnf(c_0_2330,plain,
ssList(esk9_2(esk48_0,esk48_0)),
i_0_2276 ).
cnf(c_0_2331,negated_conjecture,
( nil = esk50_0
| nil != esk51_0 ),
i_0_385 ).
cnf(c_0_2332,negated_conjecture,
esk48_0 = esk50_0,
i_0_388 ).
cnf(c_0_2333,plain,
( app(nil,esk51_0) = app(esk51_0,nil)
| ~ ssList(app(esk51_0,nil)) ),
inference(spm,[status(thm)],[c_0_2324,c_0_2325]) ).
cnf(c_0_2334,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
i_0_355 ).
cnf(c_0_2335,negated_conjecture,
ssList(esk51_0),
inference(rw,[status(thm)],[c_0_2326,c_0_2327]) ).
cnf(c_0_2336,plain,
( app(esk8_2(esk48_0,esk48_0),esk48_0) = nil
| esk48_0 != nil
| ~ ssList(app(esk8_2(esk48_0,esk48_0),esk48_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2328,c_0_2329]),c_0_2330])]) ).
cnf(c_0_2337,plain,
( ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
i_0_280 ).
cnf(c_0_2338,negated_conjecture,
ssList(esk48_0),
i_0_381 ).
cnf(c_0_2339,plain,
ssList(esk8_2(esk48_0,esk48_0)),
i_0_2278 ).
cnf(c_0_2340,negated_conjecture,
( esk48_0 = nil
| nil != esk51_0 ),
inference(rw,[status(thm)],[c_0_2331,c_0_2332]) ).
cnf(c_0_2341,plain,
( X1 = X2
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| app(X3,X1) != app(X3,X2) ),
i_0_242 ).
cnf(c_0_2342,plain,
app(nil,esk51_0) = esk51_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2333,c_0_2334]),c_0_2335])]) ).
cnf(c_0_2343,plain,
ssList(nil),
i_0_382 ).
cnf(c_0_2344,plain,
( app(esk8_2(esk48_0,esk48_0),esk48_0) = nil
| esk48_0 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2336,c_0_2337]),c_0_2338]),c_0_2339])]) ).
cnf(c_0_2345,negated_conjecture,
( app(esk8_2(nil,nil),nil) = nil
| nil != esk51_0
| ~ ssList(app(esk8_2(nil,nil),nil)) ),
inference(spm,[status(thm)],[c_0_2336,c_0_2340]) ).
cnf(c_0_2346,negated_conjecture,
( ssList(esk8_2(nil,nil))
| nil != esk51_0 ),
inference(spm,[status(thm)],[c_0_2339,c_0_2340]) ).
cnf(c_0_2347,plain,
( nil = app(X1,X2)
| nil != X2
| nil != X1
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_302 ).
cnf(c_0_2348,plain,
( X1 = esk51_0
| app(nil,X1) != esk51_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2341,c_0_2342]),c_0_2343]),c_0_2335])]) ).
cnf(c_0_2349,plain,
( app(nil,esk9_2(esk48_0,esk48_0)) = esk48_0
| esk48_0 != nil ),
inference(spm,[status(thm)],[c_0_2329,c_0_2344]) ).
cnf(c_0_2350,plain,
~ neq(app(app(esk8_2(nil,nil),nil),esk9_2(nil,nil)),nil),
i_0_2205 ).
cnf(c_0_2351,plain,
( esk8_2(nil,nil) = nil
| nil != esk51_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2345,c_0_2334]),c_0_2346]) ).
cnf(c_0_2352,plain,
app(nil,nil) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_2347])]),c_0_2343])]) ).
cnf(c_0_2353,plain,
( esk9_2(esk48_0,esk48_0) = esk51_0
| esk48_0 != esk51_0
| esk48_0 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2348,c_0_2349]),c_0_2330])]) ).
cnf(c_0_2354,plain,
( nil = X1
| ssList(tl(X1))
| ~ ssList(X1) ),
i_0_362 ).
cnf(c_0_2355,plain,
tl(app(esk51_0,nil)) = tl(esk51_0),
i_0_2214 ).
cnf(c_0_2356,plain,
( app(esk51_0,nil) = esk51_0
| ~ ssList(app(esk51_0,nil)) ),
inference(rw,[status(thm)],[c_0_2333,c_0_2342]) ).
cnf(c_0_2357,plain,
( nil != esk51_0
| ~ neq(app(nil,esk9_2(nil,nil)),nil) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2350,c_0_2351]),c_0_2352]) ).
cnf(c_0_2358,negated_conjecture,
( esk9_2(nil,nil) = esk51_0
| nil != esk51_0 ),
inference(spm,[status(thm)],[c_0_2353,c_0_2340]) ).
cnf(c_0_2359,negated_conjecture,
( neq(esk49_0,nil)
| nil != esk48_0 ),
i_0_368 ).
cnf(c_0_2360,plain,
( app(esk51_0,nil) = nil
| ssList(tl(esk51_0))
| ~ ssList(app(esk51_0,nil)) ),
inference(spm,[status(thm)],[c_0_2354,c_0_2355]) ).
cnf(c_0_2361,plain,
app(esk51_0,nil) = esk51_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2356,c_0_2337]),c_0_2343]),c_0_2335])]) ).
cnf(c_0_2362,plain,
( nil != esk51_0
| ~ neq(esk51_0,nil) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2357,c_0_2358]),c_0_2342]) ).
cnf(c_0_2363,negated_conjecture,
( neq(esk51_0,nil)
| esk48_0 != nil ),
inference(rw,[status(thm)],[c_0_2359,c_0_2327]) ).
cnf(c_0_2364,plain,
( nil = X1
| ssItem(hd(X1))
| ~ ssList(X1) ),
i_0_365 ).
cnf(c_0_2365,plain,
hd(app(esk51_0,nil)) = hd(esk51_0),
i_0_2213 ).
cnf(c_0_2366,plain,
( nil = esk51_0
| ssList(tl(esk51_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2360,c_0_2361]),c_0_2361]),c_0_2335])]) ).
cnf(c_0_2367,negated_conjecture,
nil != esk51_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2362,c_0_2363]),c_0_2340]) ).
cnf(c_0_2368,plain,
( app(esk51_0,nil) = nil
| ssItem(hd(esk51_0))
| ~ ssList(app(esk51_0,nil)) ),
inference(spm,[status(thm)],[c_0_2364,c_0_2365]) ).
cnf(c_0_2369,plain,
( X1 = X2
| cons(X1,X3) != cons(X2,X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X3) ),
i_0_237 ).
cnf(c_0_2370,plain,
ssList(tl(esk51_0)),
inference(sr,[status(thm)],[c_0_2366,c_0_2367]) ).
cnf(c_0_2371,plain,
( nil = esk51_0
| ssItem(hd(esk51_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2368,c_0_2361]),c_0_2361]),c_0_2335])]) ).
cnf(c_0_2372,plain,
( X1 = X2
| cons(X1,X3) != cons(X2,tl(esk51_0))
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(spm,[status(thm)],[c_0_2369,c_0_2370]) ).
cnf(c_0_2373,plain,
( nil = X1
| cons(hd(X1),tl(X1)) = X1
| ~ ssList(X1) ),
i_0_293 ).
cnf(c_0_2374,plain,
ssItem(hd(esk51_0)),
inference(sr,[status(thm)],[c_0_2371,c_0_2367]) ).
cnf(c_0_2375,plain,
( X1 = hd(esk51_0)
| cons(X1,X2) != esk51_0
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2372,c_0_2373]),c_0_2374]),c_0_2335])]),c_0_2367]) ).
cnf(c_0_2376,plain,
( cons(esk45_1(X1),esk44_1(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
i_0_292 ).
cnf(c_0_2377,plain,
( esk45_1(esk51_0) = hd(esk51_0)
| ~ ssList(esk44_1(esk51_0))
| ~ ssItem(esk45_1(esk51_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_2375,c_0_2376])]),c_0_2335])]),c_0_2367]) ).
cnf(c_0_2378,plain,
( ssList(esk44_1(X1))
| nil = X1
| ~ ssList(X1) ),
i_0_361 ).
cnf(c_0_2379,plain,
( esk45_1(esk51_0) = hd(esk51_0)
| ~ ssItem(esk45_1(esk51_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2377,c_0_2378]),c_0_2335])]),c_0_2367]) ).
cnf(c_0_2380,plain,
( ssItem(esk45_1(X1))
| nil = X1
| ~ ssList(X1) ),
i_0_364 ).
cnf(c_0_2381,negated_conjecture,
( app(X1,cons(X2,nil)) = esk50_0
| ~ ssItem(X2)
| ~ ssList(X1)
| app(cons(X2,nil),X1) != esk51_0 ),
i_0_212 ).
cnf(c_0_2382,plain,
esk45_1(esk51_0) = hd(esk51_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2379,c_0_2380]),c_0_2335])]),c_0_2367]) ).
cnf(c_0_2383,negated_conjecture,
( nil = esk49_0
| ~ ssItem(X1)
| ~ ssList(X2)
| app(cons(X1,nil),X2) != esk49_0
| app(X2,cons(X1,nil)) != esk48_0 ),
i_0_209 ).
cnf(c_0_2384,negated_conjecture,
( app(X1,cons(X2,nil)) = esk48_0
| app(cons(X2,nil),X1) != esk51_0
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(rw,[status(thm)],[c_0_2381,c_0_2332]) ).
cnf(c_0_2385,plain,
( cons(X1,X2) = app(cons(X1,nil),X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_251 ).
cnf(c_0_2386,plain,
( tl(cons(X1,X2)) = X2
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_278 ).
cnf(c_0_2387,plain,
cons(hd(esk51_0),esk44_1(esk51_0)) = esk51_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2376,c_0_2382]),c_0_2335])]),c_0_2367]) ).
cnf(c_0_2388,negated_conjecture,
( nil = esk51_0
| app(X1,cons(X2,nil)) != esk48_0
| app(cons(X2,nil),X1) != esk51_0
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2383,c_0_2327]),c_0_2327]) ).
cnf(c_0_2389,plain,
( app(X1,cons(X2,nil)) = esk48_0
| cons(X2,X1) != esk51_0
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(spm,[status(thm)],[c_0_2384,c_0_2385]) ).
cnf(c_0_2390,plain,
( esk44_1(esk51_0) = tl(esk51_0)
| ~ ssList(esk44_1(esk51_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2386,c_0_2387]),c_0_2374])]) ).
cnf(c_0_2391,negated_conjecture,
( app(cons(X1,nil),X2) != esk51_0
| cons(X1,X2) != esk51_0
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2388,c_0_2389]),c_0_2367]) ).
cnf(c_0_2392,plain,
esk44_1(esk51_0) = tl(esk51_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2390,c_0_2378]),c_0_2335])]),c_0_2367]) ).
cnf(c_0_2393,plain,
( cons(X1,X2) != esk51_0
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(spm,[status(thm)],[c_0_2391,c_0_2385]) ).
cnf(c_0_2394,plain,
cons(hd(esk51_0),tl(esk51_0)) = esk51_0,
inference(rw,[status(thm)],[c_0_2387,c_0_2392]) ).
cnf(c_0_2395,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2393,c_0_2394]),c_0_2370]),c_0_2374])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC313+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 : n010.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 04:43:21 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 165.17/112.58 % Version : CSE_E---1.7
% 165.17/112.58 % Problem : theBenchmark.p
% 165.17/112.58 % SZS status Theorem for theBenchmark.p
% 165.17/112.58 % SZS output start CNFRefutation
% See solution above
% 175.57/122.90 % Total time : 112.106s
%------------------------------------------------------------------------------