%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC088+1 : TPTP v9.2.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:18:13 PM UTC 2026
% Result : Theorem 198.66s 124.00s
% Output : CNFRefutation 211.36s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_1782)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ~ neq(X2,nil)
| ? [X5] :
( ssList(X5)
& neq(X5,nil)
& segmentP(X2,X5)
& segmentP(X1,X5) )
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(X7,cons(X6,nil)) != X3
& app(cons(X6,nil),X7) = X4 ) )
| ( nil != X3
& nil = X4 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(ax94,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( gt(X1,X2)
=> ~ gt(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax94) ).
fof(ax33,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( lt(X1,X2)
=> ~ lt(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax33) ).
fof(ax90,axiom,
! [X1] :
( ssItem(X1)
=> ~ lt(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax90) ).
fof(ax38,axiom,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).
fof(ax8,axiom,
! [X1] :
( ssList(X1)
=> ( cyclefreeP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> ~ ( leq(X2,X3)
& leq(X3,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax8) ).
fof(ax10,axiom,
! [X1] :
( ssList(X1)
=> ( strictorderP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> ( lt(X2,X3)
| lt(X3,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax10) ).
fof(ax9,axiom,
! [X1] :
( ssList(X1)
=> ( totalorderP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> ( leq(X2,X3)
| leq(X3,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax9) ).
fof(ax12,axiom,
! [X1] :
( ssList(X1)
=> ( strictorderedP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> lt(X2,X3) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax12) ).
fof(ax11,axiom,
! [X1] :
( ssList(X1)
=> ( totalorderedP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> leq(X2,X3) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax11) ).
fof(ax13,axiom,
! [X1] :
( ssList(X1)
=> ( duplicatefreeP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
=> X2 != X3 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax13) ).
fof(ax14,axiom,
! [X1] :
( ssList(X1)
=> ( equalelemsP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(X4,cons(X2,cons(X3,X5))) = X1
=> X2 = X3 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax14) ).
fof(ax7,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( segmentP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(app(X3,X2),X4) = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).
fof(ax3,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ( memberP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(X3,cons(X2,X4)) = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax3) ).
fof(ax44,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( frontsegP(cons(X1,X3),cons(X2,X4))
<=> ( X1 = X2
& frontsegP(X3,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax44) ).
fof(ax56,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( segmentP(X1,X2)
=> segmentP(app(app(X3,X1),X4),X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax56) ).
fof(ax36,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( memberP(app(X2,X3),X1)
<=> ( memberP(X2,X1)
| memberP(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax36) ).
fof(ax37,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ( memberP(cons(X2,X3),X1)
<=> ( X1 = X2
| memberP(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax37) ).
fof(ax82,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax82) ).
fof(ax27,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssItem(X3)
=> cons(X3,app(X2,X1)) = app(cons(X3,X2),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax27) ).
fof(ax70,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( strictorderedP(cons(X1,X2))
<=> ( nil = X2
| ( nil != X2
& strictorderedP(X2)
& lt(X1,hd(X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax70) ).
fof(ax67,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( totalorderedP(cons(X1,X2))
<=> ( nil = X2
| ( nil != X2
& totalorderedP(X2)
& leq(X1,hd(X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax67) ).
fof(ax50,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( rearsegP(X1,X2)
=> rearsegP(app(X3,X1),X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax50) ).
fof(ax43,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( frontsegP(X1,X2)
=> frontsegP(app(X1,X3),X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax43) ).
fof(ax95,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( ( gt(X1,X2)
& gt(X2,X3) )
=> gt(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax95) ).
fof(ax88,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( ( geq(X1,X2)
& geq(X2,X3) )
=> geq(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax88) ).
fof(ax34,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( ( lt(X1,X2)
& lt(X2,X3) )
=> lt(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax34) ).
fof(ax91,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( ( leq(X1,X2)
& lt(X2,X3) )
=> lt(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax91) ).
fof(ax30,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( ( leq(X1,X2)
& leq(X2,X3) )
=> leq(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax30) ).
fof(ax53,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( segmentP(X1,X2)
& segmentP(X2,X3) )
=> segmentP(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax53) ).
fof(ax47,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( rearsegP(X1,X2)
& rearsegP(X2,X3) )
=> rearsegP(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax47) ).
fof(ax40,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( frontsegP(X1,X2)
& frontsegP(X2,X3) )
=> frontsegP(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax40) ).
fof(ax6,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( rearsegP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& app(X3,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax6) ).
fof(ax5,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& app(X2,X3) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax5) ).
fof(ax19,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssItem(X4)
=> ( cons(X3,X1) = cons(X4,X2)
=> ( X3 = X4
& X2 = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax19) ).
fof(ax79,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( app(X3,X2) = app(X1,X2)
=> X3 = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax79) ).
fof(ax80,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( app(X2,X3) = app(X2,X1)
=> X3 = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax80) ).
fof(ax86,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil != X1
=> tl(app(X1,X2)) = app(tl(X1),X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax86) ).
fof(ax81,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,X1) = app(cons(X2,nil),X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(ax54,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X1,X2)
& segmentP(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax54) ).
fof(ax48,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( rearsegP(X1,X2)
& rearsegP(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax48) ).
fof(ax41,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( frontsegP(X1,X2)
& frontsegP(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax41) ).
fof(ax87,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( geq(X1,X2)
& geq(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax87) ).
fof(ax29,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( leq(X1,X2)
& leq(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax29) ).
fof(ax93,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( lt(X1,X2)
<=> ( X1 != X2
& leq(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax93) ).
fof(ax92,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( leq(X1,X2)
=> ( X1 = X2
| lt(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax92) ).
fof(ax35,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( gt(X1,X2)
<=> lt(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax35) ).
fof(ax32,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( geq(X1,X2)
<=> leq(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax32) ).
fof(ax85,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil != X1
=> hd(app(X1,X2)) = hd(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax85) ).
fof(ax77,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( nil != X2
& nil != X1
& hd(X2) = hd(X1)
& tl(X2) = tl(X1) )
=> X2 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax77) ).
fof(ax25,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> tl(cons(X2,X1)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax25) ).
fof(ax23,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> hd(cons(X2,X1)) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax23) ).
fof(ax26,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(ax16,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ssList(cons(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(ax15,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(ax1,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax1) ).
fof(ax4,axiom,
! [X1] :
( ssList(X1)
=> ( singletonP(X1)
<=> ? [X2] :
( ssItem(X2)
& cons(X2,nil) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax4) ).
fof(ax83,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil = app(X1,X2)
<=> ( nil = X2
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).
fof(ax18,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,X1) != X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax18) ).
fof(ax21,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> nil != cons(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax21) ).
fof(ax20,axiom,
! [X1] :
( ssList(X1)
=> ( nil = X1
| ? [X2] :
( ssList(X2)
& ? [X3] :
( ssItem(X3)
& cons(X3,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax20) ).
fof(ax78,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> cons(hd(X1),tl(X1)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax78) ).
fof(ax73,axiom,
! [X1] :
( ssItem(X1)
=> equalelemsP(cons(X1,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax73) ).
fof(ax71,axiom,
! [X1] :
( ssItem(X1)
=> duplicatefreeP(cons(X1,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax71) ).
fof(ax68,axiom,
! [X1] :
( ssItem(X1)
=> strictorderedP(cons(X1,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax68) ).
fof(ax65,axiom,
! [X1] :
( ssItem(X1)
=> totalorderedP(cons(X1,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax65) ).
fof(ax63,axiom,
! [X1] :
( ssItem(X1)
=> strictorderP(cons(X1,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax63) ).
fof(ax61,axiom,
! [X1] :
( ssItem(X1)
=> totalorderP(cons(X1,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax61) ).
fof(ax59,axiom,
! [X1] :
( ssItem(X1)
=> cyclefreeP(cons(X1,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax59) ).
fof(ax58,axiom,
! [X1] :
( ssList(X1)
=> ( segmentP(nil,X1)
<=> nil = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax58) ).
fof(ax52,axiom,
! [X1] :
( ssList(X1)
=> ( rearsegP(nil,X1)
<=> nil = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax52) ).
fof(ax46,axiom,
! [X1] :
( ssList(X1)
=> ( frontsegP(nil,X1)
<=> nil = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax46) ).
fof(ax89,axiom,
! [X1] :
( ssItem(X1)
=> geq(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax89) ).
fof(ax31,axiom,
! [X1] :
( ssItem(X1)
=> leq(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax31) ).
fof(ax55,axiom,
! [X1] :
( ssList(X1)
=> segmentP(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax55) ).
fof(ax49,axiom,
! [X1] :
( ssList(X1)
=> rearsegP(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax49) ).
fof(ax42,axiom,
! [X1] :
( ssList(X1)
=> frontsegP(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax42) ).
fof(ax28,axiom,
! [X1] :
( ssList(X1)
=> app(nil,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(ax84,axiom,
! [X1] :
( ssList(X1)
=> app(X1,nil) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(ax57,axiom,
! [X1] :
( ssList(X1)
=> segmentP(X1,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax57) ).
fof(ax51,axiom,
! [X1] :
( ssList(X1)
=> rearsegP(X1,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax51) ).
fof(ax45,axiom,
! [X1] :
( ssList(X1)
=> frontsegP(X1,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax45) ).
fof(ax76,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ? [X2] :
( ssList(X2)
& tl(X1) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax76) ).
fof(ax24,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssList(tl(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(ax75,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ? [X2] :
( ssItem(X2)
& hd(X1) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax75) ).
fof(ax22,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssItem(hd(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax22) ).
fof(ax39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax39) ).
fof(ax2,axiom,
? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& X1 != X2 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax2) ).
fof(ax74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax74) ).
fof(ax72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax72) ).
fof(ax69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax69) ).
fof(ax66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax66) ).
fof(ax64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax64) ).
fof(ax62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax62) ).
fof(ax60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax60) ).
fof(ax17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(i_0_96,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ~ neq(X2,nil)
| ? [X5] :
( ssList(X5)
& neq(X5,nil)
& segmentP(X2,X5)
& segmentP(X1,X5) )
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(X7,cons(X6,nil)) != X3
& app(cons(X6,nil),X7) = X4 ) )
| ( nil != X3
& nil = X4 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
fof(i_0_97,plain,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( gt(X1,X2)
=> ~ gt(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[ax94]) ).
fof(i_0_98,plain,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( lt(X1,X2)
=> ~ lt(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[ax33]) ).
fof(i_0_99,plain,
! [X1] :
( ssItem(X1)
=> ~ lt(X1,X1) ),
inference(fof_simplification,[status(thm)],[ax90]) ).
fof(i_0_100,plain,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
inference(fof_simplification,[status(thm)],[ax38]) ).
fof(i_0_101,plain,
! [X245,X246,X247,X248,X249,X250] :
( ( ~ cyclefreeP(X245)
| ~ ssItem(X246)
| ~ ssItem(X247)
| ~ ssList(X248)
| ~ ssList(X249)
| ~ ssList(X250)
| app(app(X248,cons(X246,X249)),cons(X247,X250)) != X245
| ~ leq(X246,X247)
| ~ leq(X247,X246)
| ~ ssList(X245) )
& ( ssItem(esk10_1(X245))
| cyclefreeP(X245)
| ~ ssList(X245) )
& ( ssItem(esk11_1(X245))
| cyclefreeP(X245)
| ~ ssList(X245) )
& ( ssList(esk12_1(X245))
| cyclefreeP(X245)
| ~ ssList(X245) )
& ( ssList(esk13_1(X245))
| cyclefreeP(X245)
| ~ ssList(X245) )
& ( ssList(esk14_1(X245))
| cyclefreeP(X245)
| ~ ssList(X245) )
& ( app(app(esk12_1(X245),cons(esk10_1(X245),esk13_1(X245))),cons(esk11_1(X245),esk14_1(X245))) = X245
| cyclefreeP(X245)
| ~ ssList(X245) )
& ( leq(esk10_1(X245),esk11_1(X245))
| cyclefreeP(X245)
| ~ ssList(X245) )
& ( leq(esk11_1(X245),esk10_1(X245))
| cyclefreeP(X245)
| ~ ssList(X245) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax8])])])])]) ).
fof(i_0_102,plain,
! [X267,X268,X269,X270,X271,X272] :
( ( ~ strictorderP(X267)
| ~ ssItem(X268)
| ~ ssItem(X269)
| ~ ssList(X270)
| ~ ssList(X271)
| ~ ssList(X272)
| app(app(X270,cons(X268,X271)),cons(X269,X272)) != X267
| lt(X268,X269)
| lt(X269,X268)
| ~ ssList(X267) )
& ( ssItem(esk20_1(X267))
| strictorderP(X267)
| ~ ssList(X267) )
& ( ssItem(esk21_1(X267))
| strictorderP(X267)
| ~ ssList(X267) )
& ( ssList(esk22_1(X267))
| strictorderP(X267)
| ~ ssList(X267) )
& ( ssList(esk23_1(X267))
| strictorderP(X267)
| ~ ssList(X267) )
& ( ssList(esk24_1(X267))
| strictorderP(X267)
| ~ ssList(X267) )
& ( app(app(esk22_1(X267),cons(esk20_1(X267),esk23_1(X267))),cons(esk21_1(X267),esk24_1(X267))) = X267
| strictorderP(X267)
| ~ ssList(X267) )
& ( ~ lt(esk20_1(X267),esk21_1(X267))
| strictorderP(X267)
| ~ ssList(X267) )
& ( ~ lt(esk21_1(X267),esk20_1(X267))
| strictorderP(X267)
| ~ ssList(X267) ) ),
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,
! [X256,X257,X258,X259,X260,X261] :
( ( ~ totalorderP(X256)
| ~ ssItem(X257)
| ~ ssItem(X258)
| ~ ssList(X259)
| ~ ssList(X260)
| ~ ssList(X261)
| app(app(X259,cons(X257,X260)),cons(X258,X261)) != X256
| leq(X257,X258)
| leq(X258,X257)
| ~ ssList(X256) )
& ( ssItem(esk15_1(X256))
| totalorderP(X256)
| ~ ssList(X256) )
& ( ssItem(esk16_1(X256))
| totalorderP(X256)
| ~ ssList(X256) )
& ( ssList(esk17_1(X256))
| totalorderP(X256)
| ~ ssList(X256) )
& ( ssList(esk18_1(X256))
| totalorderP(X256)
| ~ ssList(X256) )
& ( ssList(esk19_1(X256))
| totalorderP(X256)
| ~ ssList(X256) )
& ( app(app(esk17_1(X256),cons(esk15_1(X256),esk18_1(X256))),cons(esk16_1(X256),esk19_1(X256))) = X256
| totalorderP(X256)
| ~ ssList(X256) )
& ( ~ leq(esk15_1(X256),esk16_1(X256))
| totalorderP(X256)
| ~ ssList(X256) )
& ( ~ leq(esk16_1(X256),esk15_1(X256))
| totalorderP(X256)
| ~ ssList(X256) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax9])])])])]) ).
fof(i_0_104,plain,
! [X289,X290,X291,X292,X293,X294] :
( ( ~ strictorderedP(X289)
| ~ ssItem(X290)
| ~ ssItem(X291)
| ~ ssList(X292)
| ~ ssList(X293)
| ~ ssList(X294)
| app(app(X292,cons(X290,X293)),cons(X291,X294)) != X289
| lt(X290,X291)
| ~ ssList(X289) )
& ( ssItem(esk30_1(X289))
| strictorderedP(X289)
| ~ ssList(X289) )
& ( ssItem(esk31_1(X289))
| strictorderedP(X289)
| ~ ssList(X289) )
& ( ssList(esk32_1(X289))
| strictorderedP(X289)
| ~ ssList(X289) )
& ( ssList(esk33_1(X289))
| strictorderedP(X289)
| ~ ssList(X289) )
& ( ssList(esk34_1(X289))
| strictorderedP(X289)
| ~ ssList(X289) )
& ( app(app(esk32_1(X289),cons(esk30_1(X289),esk33_1(X289))),cons(esk31_1(X289),esk34_1(X289))) = X289
| strictorderedP(X289)
| ~ ssList(X289) )
& ( ~ lt(esk30_1(X289),esk31_1(X289))
| strictorderedP(X289)
| ~ ssList(X289) ) ),
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,
! [X278,X279,X280,X281,X282,X283] :
( ( ~ totalorderedP(X278)
| ~ ssItem(X279)
| ~ ssItem(X280)
| ~ ssList(X281)
| ~ ssList(X282)
| ~ ssList(X283)
| app(app(X281,cons(X279,X282)),cons(X280,X283)) != X278
| leq(X279,X280)
| ~ ssList(X278) )
& ( ssItem(esk25_1(X278))
| totalorderedP(X278)
| ~ ssList(X278) )
& ( ssItem(esk26_1(X278))
| totalorderedP(X278)
| ~ ssList(X278) )
& ( ssList(esk27_1(X278))
| totalorderedP(X278)
| ~ ssList(X278) )
& ( ssList(esk28_1(X278))
| totalorderedP(X278)
| ~ ssList(X278) )
& ( ssList(esk29_1(X278))
| totalorderedP(X278)
| ~ ssList(X278) )
& ( app(app(esk27_1(X278),cons(esk25_1(X278),esk28_1(X278))),cons(esk26_1(X278),esk29_1(X278))) = X278
| totalorderedP(X278)
| ~ ssList(X278) )
& ( ~ leq(esk25_1(X278),esk26_1(X278))
| totalorderedP(X278)
| ~ ssList(X278) ) ),
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,
! [X300,X301,X302,X303,X304,X305] :
( ( ~ duplicatefreeP(X300)
| ~ ssItem(X301)
| ~ ssItem(X302)
| ~ ssList(X303)
| ~ ssList(X304)
| ~ ssList(X305)
| app(app(X303,cons(X301,X304)),cons(X302,X305)) != X300
| X301 != X302
| ~ ssList(X300) )
& ( ssItem(esk35_1(X300))
| duplicatefreeP(X300)
| ~ ssList(X300) )
& ( ssItem(esk36_1(X300))
| duplicatefreeP(X300)
| ~ ssList(X300) )
& ( ssList(esk37_1(X300))
| duplicatefreeP(X300)
| ~ ssList(X300) )
& ( ssList(esk38_1(X300))
| duplicatefreeP(X300)
| ~ ssList(X300) )
& ( ssList(esk39_1(X300))
| duplicatefreeP(X300)
| ~ ssList(X300) )
& ( app(app(esk37_1(X300),cons(esk35_1(X300),esk38_1(X300))),cons(esk36_1(X300),esk39_1(X300))) = X300
| duplicatefreeP(X300)
| ~ ssList(X300) )
& ( esk35_1(X300) = esk36_1(X300)
| duplicatefreeP(X300)
| ~ ssList(X300) ) ),
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,
! [X311,X312,X313,X314,X315] :
( ( ~ equalelemsP(X311)
| ~ ssItem(X312)
| ~ ssItem(X313)
| ~ ssList(X314)
| ~ ssList(X315)
| app(X314,cons(X312,cons(X313,X315))) != X311
| X312 = X313
| ~ ssList(X311) )
& ( ssItem(esk40_1(X311))
| equalelemsP(X311)
| ~ ssList(X311) )
& ( ssItem(esk41_1(X311))
| equalelemsP(X311)
| ~ ssList(X311) )
& ( ssList(esk42_1(X311))
| equalelemsP(X311)
| ~ ssList(X311) )
& ( ssList(esk43_1(X311))
| equalelemsP(X311)
| ~ ssList(X311) )
& ( app(esk42_1(X311),cons(esk40_1(X311),cons(esk41_1(X311),esk43_1(X311)))) = X311
| equalelemsP(X311)
| ~ ssList(X311) )
& ( esk40_1(X311) != esk41_1(X311)
| equalelemsP(X311)
| ~ ssList(X311) ) ),
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,
! [X239,X240,X243,X244] :
( ( ssList(esk8_2(X239,X240))
| ~ segmentP(X239,X240)
| ~ ssList(X240)
| ~ ssList(X239) )
& ( ssList(esk9_2(X239,X240))
| ~ segmentP(X239,X240)
| ~ ssList(X240)
| ~ ssList(X239) )
& ( app(app(esk8_2(X239,X240),X240),esk9_2(X239,X240)) = X239
| ~ segmentP(X239,X240)
| ~ ssList(X240)
| ~ ssList(X239) )
& ( ~ ssList(X243)
| ~ ssList(X244)
| app(app(X243,X240),X244) != X239
| segmentP(X239,X240)
| ~ ssList(X240)
| ~ ssList(X239) ) ),
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,
! [X222,X223,X226,X227] :
( ( ssList(esk3_2(X222,X223))
| ~ memberP(X222,X223)
| ~ ssItem(X223)
| ~ ssList(X222) )
& ( ssList(esk4_2(X222,X223))
| ~ memberP(X222,X223)
| ~ ssItem(X223)
| ~ ssList(X222) )
& ( app(esk3_2(X222,X223),cons(X223,esk4_2(X222,X223))) = X222
| ~ memberP(X222,X223)
| ~ ssItem(X223)
| ~ ssList(X222) )
& ( ~ ssList(X226)
| ~ ssList(X227)
| app(X226,cons(X223,X227)) != X222
| memberP(X222,X223)
| ~ ssItem(X223)
| ~ ssList(X222) ) ),
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,
! [X378,X379,X380,X381] :
( ( X378 = X379
| ~ frontsegP(cons(X378,X380),cons(X379,X381))
| ~ ssList(X381)
| ~ ssList(X380)
| ~ ssItem(X379)
| ~ ssItem(X378) )
& ( frontsegP(X380,X381)
| ~ frontsegP(cons(X378,X380),cons(X379,X381))
| ~ ssList(X381)
| ~ ssList(X380)
| ~ ssItem(X379)
| ~ ssItem(X378) )
& ( X378 != X379
| ~ frontsegP(X380,X381)
| frontsegP(cons(X378,X380),cons(X379,X381))
| ~ ssList(X381)
| ~ ssList(X380)
| ~ ssItem(X379)
| ~ ssItem(X378) ) ),
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,
! [X401,X402,X403,X404] :
( ~ ssList(X401)
| ~ ssList(X402)
| ~ ssList(X403)
| ~ ssList(X404)
| ~ segmentP(X401,X402)
| segmentP(app(app(X403,X401),X404),X402) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax56])])]) ).
fof(i_0_112,plain,
! [X362,X363,X364] :
( ( ~ memberP(app(X363,X364),X362)
| memberP(X363,X362)
| memberP(X364,X362)
| ~ ssList(X364)
| ~ ssList(X363)
| ~ ssItem(X362) )
& ( ~ memberP(X363,X362)
| memberP(app(X363,X364),X362)
| ~ ssList(X364)
| ~ ssList(X363)
| ~ ssItem(X362) )
& ( ~ memberP(X364,X362)
| memberP(app(X363,X364),X362)
| ~ ssList(X364)
| ~ ssList(X363)
| ~ ssItem(X362) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax36])])])]) ).
fof(i_0_113,negated_conjecture,
! [X466,X467,X468] :
( ssList(esk48_0)
& ssList(esk49_0)
& ssList(esk50_0)
& ssList(esk51_0)
& esk49_0 = esk51_0
& esk48_0 = esk50_0
& neq(esk49_0,nil)
& ( ~ ssList(X466)
| ~ neq(X466,nil)
| ~ segmentP(esk49_0,X466)
| ~ segmentP(esk48_0,X466) )
& ( ~ ssItem(X467)
| ~ ssList(X468)
| app(X468,cons(X467,nil)) = esk50_0
| app(cons(X467,nil),X468) != esk51_0 )
& ( nil = esk50_0
| nil != esk51_0 ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_96])])])]) ).
fof(i_0_114,plain,
! [X365,X366,X367] :
( ( ~ memberP(cons(X366,X367),X365)
| X365 = X366
| memberP(X367,X365)
| ~ ssList(X367)
| ~ ssItem(X366)
| ~ ssItem(X365) )
& ( X365 != X366
| memberP(cons(X366,X367),X365)
| ~ ssList(X367)
| ~ ssItem(X366)
| ~ ssItem(X365) )
& ( ~ memberP(X367,X365)
| memberP(cons(X366,X367),X365)
| ~ ssList(X367)
| ~ ssItem(X366)
| ~ ssItem(X365) ) ),
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,
! [X433,X434,X435] :
( ~ ssList(X433)
| ~ ssList(X434)
| ~ ssList(X435)
| app(app(X433,X434),X435) = app(X433,app(X434,X435)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).
fof(i_0_116,plain,
! [X343,X344,X345] :
( ~ ssList(X343)
| ~ ssList(X344)
| ~ ssItem(X345)
| cons(X345,app(X344,X343)) = app(cons(X345,X344),X343) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])]) ).
fof(i_0_117,plain,
! [X414,X415] :
( ( nil != X415
| nil = X415
| ~ strictorderedP(cons(X414,X415))
| ~ ssList(X415)
| ~ ssItem(X414) )
& ( strictorderedP(X415)
| nil = X415
| ~ strictorderedP(cons(X414,X415))
| ~ ssList(X415)
| ~ ssItem(X414) )
& ( lt(X414,hd(X415))
| nil = X415
| ~ strictorderedP(cons(X414,X415))
| ~ ssList(X415)
| ~ ssItem(X414) )
& ( nil != X415
| strictorderedP(cons(X414,X415))
| ~ ssList(X415)
| ~ ssItem(X414) )
& ( nil = X415
| ~ strictorderedP(X415)
| ~ lt(X414,hd(X415))
| strictorderedP(cons(X414,X415))
| ~ ssList(X415)
| ~ ssItem(X414) ) ),
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,
! [X411,X412] :
( ( nil != X412
| nil = X412
| ~ totalorderedP(cons(X411,X412))
| ~ ssList(X412)
| ~ ssItem(X411) )
& ( totalorderedP(X412)
| nil = X412
| ~ totalorderedP(cons(X411,X412))
| ~ ssList(X412)
| ~ ssItem(X411) )
& ( leq(X411,hd(X412))
| nil = X412
| ~ totalorderedP(cons(X411,X412))
| ~ ssList(X412)
| ~ ssItem(X411) )
& ( nil != X412
| totalorderedP(cons(X411,X412))
| ~ ssList(X412)
| ~ ssItem(X411) )
& ( nil = X412
| ~ totalorderedP(X412)
| ~ leq(X411,hd(X412))
| totalorderedP(cons(X411,X412))
| ~ ssList(X412)
| ~ ssItem(X411) ) ),
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,
! [X390,X391,X392] :
( ~ ssList(X390)
| ~ ssList(X391)
| ~ ssList(X392)
| ~ rearsegP(X390,X391)
| rearsegP(app(X392,X390),X391) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax50])])]) ).
fof(i_0_120,plain,
! [X375,X376,X377] :
( ~ ssList(X375)
| ~ ssList(X376)
| ~ ssList(X377)
| ~ frontsegP(X375,X376)
| frontsegP(app(X375,X377),X376) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax43])])]) ).
fof(i_0_121,plain,
! [X459,X460,X461] :
( ~ ssItem(X459)
| ~ ssItem(X460)
| ~ ssItem(X461)
| ~ gt(X459,X460)
| ~ gt(X460,X461)
| gt(X459,X461) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax95])])]) ).
fof(i_0_122,plain,
! [X445,X446,X447] :
( ~ ssItem(X445)
| ~ ssItem(X446)
| ~ ssItem(X447)
| ~ geq(X445,X446)
| ~ geq(X446,X447)
| geq(X445,X447) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax88])])]) ).
fof(i_0_123,plain,
! [X357,X358,X359] :
( ~ ssItem(X357)
| ~ ssItem(X358)
| ~ ssItem(X359)
| ~ lt(X357,X358)
| ~ lt(X358,X359)
| lt(X357,X359) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax34])])]) ).
fof(i_0_124,plain,
! [X450,X451,X452] :
( ~ ssItem(X450)
| ~ ssItem(X451)
| ~ ssItem(X452)
| ~ leq(X450,X451)
| ~ lt(X451,X452)
| lt(X450,X452) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax91])])]) ).
fof(i_0_125,plain,
! [X349,X350,X351] :
( ~ ssItem(X349)
| ~ ssItem(X350)
| ~ ssItem(X351)
| ~ leq(X349,X350)
| ~ leq(X350,X351)
| leq(X349,X351) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax30])])]) ).
fof(i_0_126,plain,
! [X395,X396,X397] :
( ~ ssList(X395)
| ~ ssList(X396)
| ~ ssList(X397)
| ~ segmentP(X395,X396)
| ~ segmentP(X396,X397)
| segmentP(X395,X397) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax53])])]) ).
fof(i_0_127,plain,
! [X384,X385,X386] :
( ~ ssList(X384)
| ~ ssList(X385)
| ~ ssList(X386)
| ~ rearsegP(X384,X385)
| ~ rearsegP(X385,X386)
| rearsegP(X384,X386) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax47])])]) ).
fof(i_0_128,plain,
! [X369,X370,X371] :
( ~ ssList(X369)
| ~ ssList(X370)
| ~ ssList(X371)
| ~ frontsegP(X369,X370)
| ~ frontsegP(X370,X371)
| frontsegP(X369,X371) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax40])])]) ).
fof(i_0_129,plain,
! [X235,X236,X238] :
( ( ssList(esk7_2(X235,X236))
| ~ rearsegP(X235,X236)
| ~ ssList(X236)
| ~ ssList(X235) )
& ( app(esk7_2(X235,X236),X236) = X235
| ~ rearsegP(X235,X236)
| ~ ssList(X236)
| ~ ssList(X235) )
& ( ~ ssList(X238)
| app(X238,X236) != X235
| rearsegP(X235,X236)
| ~ ssList(X236)
| ~ ssList(X235) ) ),
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,
! [X231,X232,X234] :
( ( ssList(esk6_2(X231,X232))
| ~ frontsegP(X231,X232)
| ~ ssList(X232)
| ~ ssList(X231) )
& ( app(X232,esk6_2(X231,X232)) = X231
| ~ frontsegP(X231,X232)
| ~ ssList(X232)
| ~ ssList(X231) )
& ( ~ ssList(X234)
| app(X232,X234) != X231
| frontsegP(X231,X232)
| ~ ssList(X232)
| ~ ssList(X231) ) ),
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,
! [X326,X327,X328,X329] :
( ( X328 = X329
| cons(X328,X326) != cons(X329,X327)
| ~ ssItem(X329)
| ~ ssItem(X328)
| ~ ssList(X327)
| ~ ssList(X326) )
& ( X327 = X326
| cons(X328,X326) != cons(X329,X327)
| ~ ssItem(X329)
| ~ ssItem(X328)
| ~ ssList(X327)
| ~ ssList(X326) ) ),
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,
! [X425,X426,X427] :
( ~ ssList(X425)
| ~ ssList(X426)
| ~ ssList(X427)
| app(X427,X426) != app(X425,X426)
| X427 = X425 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax79])])]) ).
fof(i_0_133,plain,
! [X428,X429,X430] :
( ~ ssList(X428)
| ~ ssList(X429)
| ~ ssList(X430)
| app(X429,X430) != app(X429,X428)
| X430 = X428 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax80])])]) ).
fof(i_0_134,plain,
! [X441,X442] :
( ~ ssList(X441)
| ~ ssList(X442)
| nil = X441
| tl(app(X441,X442)) = app(tl(X441),X442) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax86])])]) ).
fof(i_0_135,plain,
! [X431,X432] :
( ~ ssList(X431)
| ~ ssItem(X432)
| cons(X432,X431) = app(cons(X432,nil),X431) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])]) ).
fof(i_0_136,plain,
! [X398,X399] :
( ~ ssList(X398)
| ~ ssList(X399)
| ~ segmentP(X398,X399)
| ~ segmentP(X399,X398)
| X398 = X399 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax54])])]) ).
fof(i_0_137,plain,
! [X387,X388] :
( ~ ssList(X387)
| ~ ssList(X388)
| ~ rearsegP(X387,X388)
| ~ rearsegP(X388,X387)
| X387 = X388 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax48])])]) ).
fof(i_0_138,plain,
! [X372,X373] :
( ~ ssList(X372)
| ~ ssList(X373)
| ~ frontsegP(X372,X373)
| ~ frontsegP(X373,X372)
| X372 = X373 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax41])])]) ).
fof(i_0_139,plain,
! [X443,X444] :
( ~ ssItem(X443)
| ~ ssItem(X444)
| ~ geq(X443,X444)
| ~ geq(X444,X443)
| X443 = X444 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax87])])]) ).
fof(i_0_140,plain,
! [X347,X348] :
( ~ ssItem(X347)
| ~ ssItem(X348)
| ~ leq(X347,X348)
| ~ leq(X348,X347)
| X347 = X348 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax29])])]) ).
fof(i_0_141,plain,
! [X457,X458] :
( ~ ssItem(X457)
| ~ ssItem(X458)
| ~ gt(X457,X458)
| ~ gt(X458,X457) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_97])])]) ).
fof(i_0_142,plain,
! [X355,X356] :
( ~ ssItem(X355)
| ~ ssItem(X356)
| ~ lt(X355,X356)
| ~ lt(X356,X355) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_98])])]) ).
fof(i_0_143,plain,
! [X455,X456] :
( ( X455 != X456
| ~ lt(X455,X456)
| ~ ssItem(X456)
| ~ ssItem(X455) )
& ( leq(X455,X456)
| ~ lt(X455,X456)
| ~ ssItem(X456)
| ~ ssItem(X455) )
& ( X455 = X456
| ~ leq(X455,X456)
| lt(X455,X456)
| ~ ssItem(X456)
| ~ ssItem(X455) ) ),
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,
! [X453,X454] :
( ~ ssItem(X453)
| ~ ssItem(X454)
| ~ leq(X453,X454)
| X453 = X454
| lt(X453,X454) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax92])])]) ).
fof(i_0_145,plain,
! [X360,X361] :
( ( ~ gt(X360,X361)
| lt(X361,X360)
| ~ ssItem(X361)
| ~ ssItem(X360) )
& ( ~ lt(X361,X360)
| gt(X360,X361)
| ~ ssItem(X361)
| ~ ssItem(X360) ) ),
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,
! [X353,X354] :
( ( ~ geq(X353,X354)
| leq(X354,X353)
| ~ ssItem(X354)
| ~ ssItem(X353) )
& ( ~ leq(X354,X353)
| geq(X353,X354)
| ~ ssItem(X354)
| ~ ssItem(X353) ) ),
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,
! [X439,X440] :
( ~ ssList(X439)
| ~ ssList(X440)
| nil = X439
| hd(app(X439,X440)) = hd(X439) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax85])])]) ).
fof(i_0_148,plain,
! [X422,X423] :
( ~ ssList(X422)
| ~ ssList(X423)
| nil = X423
| nil = X422
| hd(X423) != hd(X422)
| tl(X423) != tl(X422)
| X423 = X422 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax77])])]) ).
fof(i_0_149,plain,
! [X339,X340] :
( ~ ssList(X339)
| ~ ssItem(X340)
| tl(cons(X340,X339)) = X339 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])])]) ).
fof(i_0_150,plain,
! [X336,X337] :
( ~ ssList(X336)
| ~ ssItem(X337)
| hd(cons(X337,X336)) = X337 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])]) ).
fof(i_0_151,plain,
! [X341,X342] :
( ~ ssList(X341)
| ~ ssList(X342)
| ssList(app(X341,X342)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).
fof(i_0_152,plain,
! [X322,X323] :
( ~ ssList(X322)
| ~ ssItem(X323)
| ssList(cons(X323,X322)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).
fof(i_0_153,plain,
! [X320,X321] :
( ( ~ neq(X320,X321)
| X320 != X321
| ~ ssList(X321)
| ~ ssList(X320) )
& ( X320 = X321
| neq(X320,X321)
| ~ ssList(X321)
| ~ ssList(X320) ) ),
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,
! [X218,X219] :
( ( ~ neq(X218,X219)
| X218 != X219
| ~ ssItem(X219)
| ~ ssItem(X218) )
& ( X218 = X219
| neq(X218,X219)
| ~ ssItem(X219)
| ~ ssItem(X218) ) ),
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,
! [X228,X230] :
( ( ssItem(esk5_1(X228))
| ~ singletonP(X228)
| ~ ssList(X228) )
& ( cons(esk5_1(X228),nil) = X228
| ~ singletonP(X228)
| ~ ssList(X228) )
& ( ~ ssItem(X230)
| cons(X230,nil) != X228
| singletonP(X228)
| ~ ssList(X228) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4])])])])]) ).
fof(i_0_156,plain,
! [X436,X437] :
( ( nil = X437
| nil != app(X436,X437)
| ~ ssList(X437)
| ~ ssList(X436) )
& ( nil = X436
| nil != app(X436,X437)
| ~ ssList(X437)
| ~ ssList(X436) )
& ( nil != X437
| nil != X436
| nil = app(X436,X437)
| ~ ssList(X437)
| ~ ssList(X436) ) ),
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,
! [X324,X325] :
( ~ ssList(X324)
| ~ ssItem(X325)
| cons(X325,X324) != X324 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax18])])]) ).
fof(i_0_158,plain,
! [X333,X334] :
( ~ ssList(X333)
| ~ ssItem(X334)
| nil != cons(X334,X333) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])]) ).
fof(i_0_159,plain,
! [X330] :
( ( ssList(esk44_1(X330))
| nil = X330
| ~ ssList(X330) )
& ( ssItem(esk45_1(X330))
| nil = X330
| ~ ssList(X330) )
& ( cons(esk45_1(X330),esk44_1(X330)) = X330
| nil = X330
| ~ ssList(X330) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax20])])])]) ).
fof(i_0_160,plain,
! [X424] :
( ~ ssList(X424)
| nil = X424
| cons(hd(X424),tl(X424)) = X424 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax78])]) ).
fof(i_0_161,plain,
! [X417] :
( ~ ssItem(X417)
| equalelemsP(cons(X417,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax73])]) ).
fof(i_0_162,plain,
! [X416] :
( ~ ssItem(X416)
| duplicatefreeP(cons(X416,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax71])]) ).
fof(i_0_163,plain,
! [X413] :
( ~ ssItem(X413)
| strictorderedP(cons(X413,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax68])]) ).
fof(i_0_164,plain,
! [X410] :
( ~ ssItem(X410)
| totalorderedP(cons(X410,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax65])]) ).
fof(i_0_165,plain,
! [X409] :
( ~ ssItem(X409)
| strictorderP(cons(X409,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax63])]) ).
fof(i_0_166,plain,
! [X408] :
( ~ ssItem(X408)
| totalorderP(cons(X408,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax61])]) ).
fof(i_0_167,plain,
! [X407] :
( ~ ssItem(X407)
| cyclefreeP(cons(X407,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax59])]) ).
fof(i_0_168,plain,
! [X449] :
( ~ ssItem(X449)
| ~ lt(X449,X449) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_99])]) ).
fof(i_0_169,plain,
! [X406] :
( ( ~ segmentP(nil,X406)
| nil = X406
| ~ ssList(X406) )
& ( nil != X406
| segmentP(nil,X406)
| ~ ssList(X406) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax58])])]) ).
fof(i_0_170,plain,
! [X394] :
( ( ~ rearsegP(nil,X394)
| nil = X394
| ~ ssList(X394) )
& ( nil != X394
| rearsegP(nil,X394)
| ~ ssList(X394) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax52])])]) ).
fof(i_0_171,plain,
! [X383] :
( ( ~ frontsegP(nil,X383)
| nil = X383
| ~ ssList(X383) )
& ( nil != X383
| frontsegP(nil,X383)
| ~ ssList(X383) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax46])])]) ).
fof(i_0_172,plain,
! [X368] :
( ~ ssItem(X368)
| ~ memberP(nil,X368) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_100])]) ).
fof(i_0_173,plain,
! [X448] :
( ~ ssItem(X448)
| geq(X448,X448) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax89])]) ).
fof(i_0_174,plain,
! [X352] :
( ~ ssItem(X352)
| leq(X352,X352) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax31])]) ).
fof(i_0_175,plain,
! [X400] :
( ~ ssList(X400)
| segmentP(X400,X400) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax55])]) ).
fof(i_0_176,plain,
! [X389] :
( ~ ssList(X389)
| rearsegP(X389,X389) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax49])]) ).
fof(i_0_177,plain,
! [X374] :
( ~ ssList(X374)
| frontsegP(X374,X374) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax42])]) ).
fof(i_0_178,plain,
! [X346] :
( ~ ssList(X346)
| app(nil,X346) = X346 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).
fof(i_0_179,plain,
! [X438] :
( ~ ssList(X438)
| app(X438,nil) = X438 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).
fof(i_0_180,plain,
! [X405] :
( ~ ssList(X405)
| segmentP(X405,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])]) ).
fof(i_0_181,plain,
! [X393] :
( ~ ssList(X393)
| rearsegP(X393,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax51])]) ).
fof(i_0_182,plain,
! [X382] :
( ~ ssList(X382)
| frontsegP(X382,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax45])]) ).
fof(i_0_183,plain,
! [X420] :
( ( ssList(esk47_1(X420))
| nil = X420
| ~ ssList(X420) )
& ( tl(X420) = esk47_1(X420)
| nil = X420
| ~ ssList(X420) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax76])])])]) ).
fof(i_0_184,plain,
! [X338] :
( ~ ssList(X338)
| nil = X338
| ssList(tl(X338)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax24])]) ).
fof(i_0_185,plain,
! [X418] :
( ( ssItem(esk46_1(X418))
| nil = X418
| ~ ssList(X418) )
& ( hd(X418) = esk46_1(X418)
| nil = X418
| ~ ssList(X418) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax75])])])]) ).
fof(i_0_186,plain,
! [X335] :
( ~ ssList(X335)
| nil = X335
| ssItem(hd(X335)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax22])]) ).
fof(i_0_187,plain,
~ singletonP(nil),
inference(fof_simplification,[status(thm)],[ax39]) ).
fof(i_0_188,plain,
( ssItem(esk1_0)
& ssItem(esk2_0)
& esk1_0 != esk2_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[ax2])]) ).
cnf(i_0_189,plain,
( ~ cyclefreeP(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
| ~ leq(X2,X3)
| ~ leq(X3,X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_190,plain,
( lt(X2,X3)
| lt(X3,X2)
| ~ strictorderP(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_191,plain,
( leq(X2,X3)
| leq(X3,X2)
| ~ totalorderP(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_192,plain,
( lt(X2,X3)
| ~ strictorderedP(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_193,plain,
( leq(X2,X3)
| ~ totalorderedP(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_194,plain,
( ~ duplicatefreeP(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
| X2 != X3
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_195,plain,
( app(app(esk37_1(X1),cons(esk35_1(X1),esk38_1(X1))),cons(esk36_1(X1),esk39_1(X1))) = X1
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_196,plain,
( app(app(esk32_1(X1),cons(esk30_1(X1),esk33_1(X1))),cons(esk31_1(X1),esk34_1(X1))) = X1
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_197,plain,
( app(app(esk27_1(X1),cons(esk25_1(X1),esk28_1(X1))),cons(esk26_1(X1),esk29_1(X1))) = X1
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_198,plain,
( app(app(esk22_1(X1),cons(esk20_1(X1),esk23_1(X1))),cons(esk21_1(X1),esk24_1(X1))) = X1
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_199,plain,
( app(app(esk17_1(X1),cons(esk15_1(X1),esk18_1(X1))),cons(esk16_1(X1),esk19_1(X1))) = X1
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_200,plain,
( app(app(esk12_1(X1),cons(esk10_1(X1),esk13_1(X1))),cons(esk11_1(X1),esk14_1(X1))) = X1
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_201,plain,
( X2 = X3
| ~ equalelemsP(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| app(X4,cons(X2,cons(X3,X5))) != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_202,plain,
( app(esk42_1(X1),cons(esk40_1(X1),cons(esk41_1(X1),esk43_1(X1)))) = X1
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_203,plain,
( app(app(esk8_2(X1,X2),X2),esk9_2(X1,X2)) = X1
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_204,plain,
( app(esk3_2(X1,X2),cons(X2,esk4_2(X1,X2))) = X1
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_205,plain,
( frontsegP(X1,X2)
| ~ frontsegP(cons(X3,X1),cons(X4,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X3) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_206,plain,
( segmentP(app(app(X3,X1),X4),X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ segmentP(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_207,plain,
( X1 = X2
| ~ frontsegP(cons(X1,X3),cons(X2,X4))
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_208,plain,
( frontsegP(cons(X1,X3),cons(X2,X4))
| X1 != X2
| ~ frontsegP(X3,X4)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_209,plain,
( memberP(X1,X3)
| memberP(X2,X3)
| ~ memberP(app(X1,X2),X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X3) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_210,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_113]),
[final] ).
cnf(i_0_211,plain,
( segmentP(X4,X3)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X1,X3),X2) != X4
| ~ ssList(X3)
| ~ ssList(X4) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_212,plain,
( memberP(X4,X3)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X1,cons(X3,X2)) != X4
| ~ ssItem(X3)
| ~ ssList(X4) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_213,plain,
( X3 = X1
| memberP(X2,X3)
| ~ memberP(cons(X1,X2),X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_214,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_215,plain,
( cons(X3,app(X2,X1)) = app(cons(X3,X2),X1)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_216,plain,
( nil = X1
| strictorderedP(cons(X2,X1))
| ~ strictorderedP(X1)
| ~ lt(X2,hd(X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_217,plain,
( nil = X1
| totalorderedP(cons(X2,X1))
| ~ totalorderedP(X1)
| ~ leq(X2,hd(X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_218,plain,
( rearsegP(app(X3,X1),X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ rearsegP(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_219,plain,
( frontsegP(app(X1,X3),X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ frontsegP(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_220,plain,
( memberP(app(X1,X3),X2)
| ~ memberP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_221,plain,
( memberP(app(X3,X1),X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_222,plain,
( memberP(cons(X3,X1),X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_223,plain,
( lt(X1,hd(X2))
| nil = X2
| ~ strictorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_224,plain,
( leq(X1,hd(X2))
| nil = X2
| ~ totalorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_225,plain,
( gt(X1,X3)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ gt(X1,X2)
| ~ gt(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_226,plain,
( geq(X1,X3)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ geq(X1,X2)
| ~ geq(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_227,plain,
( lt(X1,X3)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ lt(X1,X2)
| ~ lt(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_228,plain,
( lt(X1,X3)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ leq(X1,X2)
| ~ lt(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_229,plain,
( leq(X1,X3)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_230,plain,
( segmentP(X1,X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_126]),
[final] ).
cnf(i_0_231,plain,
( rearsegP(X1,X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_232,plain,
( frontsegP(X1,X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_233,plain,
( app(esk7_2(X1,X2),X2) = X1
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_129]),
[final] ).
cnf(i_0_234,plain,
( app(X1,esk6_2(X2,X1)) = X2
| ~ frontsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_235,plain,
( X1 = X2
| cons(X1,X3) != cons(X2,X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_236,plain,
( X1 = X2
| cons(X3,X2) != cons(X4,X1)
| ~ ssItem(X4)
| ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_237,plain,
( strictorderedP(X1)
| nil = X1
| ~ strictorderedP(cons(X2,X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_238,plain,
( totalorderedP(X1)
| nil = X1
| ~ totalorderedP(cons(X2,X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_239,negated_conjecture,
( ~ ssList(X1)
| ~ neq(X1,nil)
| ~ segmentP(esk49_0,X1)
| ~ segmentP(esk48_0,X1) ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_240,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_241,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_242,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_243,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_244,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_245,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_246,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_247,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_248,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_249,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_250,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_251,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_252,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_253,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_254,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_255,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_256,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_257,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_258,plain,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ gt(X1,X2)
| ~ gt(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_259,plain,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ lt(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_142]),
[final] ).
cnf(i_0_260,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_261,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_262,plain,
( strictorderedP(X1)
| ~ lt(esk30_1(X1),esk31_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_263,plain,
( totalorderedP(X1)
| ~ leq(esk25_1(X1),esk26_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_264,plain,
( strictorderP(X1)
| ~ lt(esk21_1(X1),esk20_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_265,plain,
( strictorderP(X1)
| ~ lt(esk20_1(X1),esk21_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_266,plain,
( totalorderP(X1)
| ~ leq(esk16_1(X1),esk15_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_267,plain,
( totalorderP(X1)
| ~ leq(esk15_1(X1),esk16_1(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_268,plain,
( gt(X2,X1)
| ~ lt(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_269,plain,
( geq(X2,X1)
| ~ leq(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_270,plain,
( lt(X2,X1)
| ~ gt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_271,plain,
( leq(X1,X2)
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_272,plain,
( leq(X2,X1)
| ~ geq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_273,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_274,plain,
( strictorderedP(cons(X2,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_275,plain,
( totalorderedP(cons(X2,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_276,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_277,plain,
( tl(cons(X2,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_278,plain,
( hd(cons(X2,X1)) = X2
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_150]),
[final] ).
cnf(i_0_279,plain,
( ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_280,plain,
( ssList(cons(X2,X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[i_0_152]),
[final] ).
cnf(i_0_281,plain,
( ~ neq(X1,X2)
| X1 != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_153]),
[final] ).
cnf(i_0_282,plain,
( X1 != X2
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_283,plain,
( ~ neq(X1,X2)
| X1 != X2
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_154]),
[final] ).
cnf(i_0_284,plain,
( singletonP(X2)
| ~ ssItem(X1)
| cons(X1,nil) != X2
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_285,plain,
( nil = X1
| nil != app(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_156]),
[final] ).
cnf(i_0_286,plain,
( nil = X1
| nil != app(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[i_0_156]),
[final] ).
cnf(i_0_287,plain,
( leq(esk11_1(X1),esk10_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_288,plain,
( leq(esk10_1(X1),esk11_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_289,plain,
( ~ ssList(X1)
| ~ ssItem(X2)
| cons(X2,X1) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_157]),
[final] ).
cnf(i_0_290,plain,
( ~ ssList(X1)
| ~ ssItem(X2)
| nil != cons(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_158]),
[final] ).
cnf(i_0_291,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_292,plain,
( nil = X1
| cons(hd(X1),tl(X1)) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_160]),
[final] ).
cnf(i_0_293,plain,
( equalelemsP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_161]),
[final] ).
cnf(i_0_294,plain,
( duplicatefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_162]),
[final] ).
cnf(i_0_295,plain,
( strictorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_163]),
[final] ).
cnf(i_0_296,plain,
( totalorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_164]),
[final] ).
cnf(i_0_297,plain,
( strictorderP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_165]),
[final] ).
cnf(i_0_298,plain,
( totalorderP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_166]),
[final] ).
cnf(i_0_299,plain,
( cyclefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_167]),
[final] ).
cnf(i_0_300,plain,
( cons(esk5_1(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_301,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_302,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_153]),
[final] ).
cnf(i_0_303,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_154]),
[final] ).
cnf(i_0_304,plain,
( ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(split_conjunct,[status(thm)],[i_0_168]),
[final] ).
cnf(i_0_305,plain,
( nil = X1
| ~ segmentP(nil,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_169]),
[final] ).
cnf(i_0_306,plain,
( nil = X1
| ~ rearsegP(nil,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_170]),
[final] ).
cnf(i_0_307,plain,
( nil = X1
| ~ frontsegP(nil,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_171]),
[final] ).
cnf(i_0_308,plain,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
inference(split_conjunct,[status(thm)],[i_0_172]),
[final] ).
cnf(i_0_309,plain,
( ssItem(esk5_1(X1))
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_310,plain,
( equalelemsP(X1)
| esk40_1(X1) != esk41_1(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_311,plain,
( segmentP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_169]),
[final] ).
cnf(i_0_312,plain,
( rearsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_170]),
[final] ).
cnf(i_0_313,plain,
( frontsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_171]),
[final] ).
cnf(i_0_314,plain,
( ssList(esk43_1(X1))
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_315,plain,
( ssList(esk42_1(X1))
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_316,plain,
( ssItem(esk41_1(X1))
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_317,plain,
( ssItem(esk40_1(X1))
| equalelemsP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_318,plain,
( ssList(esk39_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_319,plain,
( ssList(esk38_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_320,plain,
( ssList(esk37_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_321,plain,
( ssItem(esk36_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_322,plain,
( ssItem(esk35_1(X1))
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_323,plain,
( ssList(esk34_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_324,plain,
( ssList(esk33_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_325,plain,
( ssList(esk32_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_326,plain,
( ssItem(esk31_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_327,plain,
( ssItem(esk30_1(X1))
| strictorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_328,plain,
( ssList(esk29_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_329,plain,
( ssList(esk28_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_330,plain,
( ssList(esk27_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_331,plain,
( ssItem(esk26_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_332,plain,
( ssItem(esk25_1(X1))
| totalorderedP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_333,plain,
( ssList(esk24_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_334,plain,
( ssList(esk23_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_335,plain,
( ssList(esk22_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_336,plain,
( ssItem(esk21_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_337,plain,
( ssItem(esk20_1(X1))
| strictorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_338,plain,
( ssList(esk19_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_339,plain,
( ssList(esk18_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_340,plain,
( ssList(esk17_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_341,plain,
( ssItem(esk16_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_342,plain,
( ssItem(esk15_1(X1))
| totalorderP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_343,plain,
( ssList(esk14_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_344,plain,
( ssList(esk13_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_345,plain,
( ssList(esk12_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_346,plain,
( ssItem(esk11_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_347,plain,
( ssItem(esk10_1(X1))
| cyclefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_348,plain,
( geq(X1,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_173]),
[final] ).
cnf(i_0_349,plain,
( leq(X1,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_174]),
[final] ).
cnf(i_0_350,plain,
( segmentP(X1,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_175]),
[final] ).
cnf(i_0_351,plain,
( rearsegP(X1,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_176]),
[final] ).
cnf(i_0_352,plain,
( frontsegP(X1,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_177]),
[final] ).
cnf(i_0_353,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_178]),
[final] ).
cnf(i_0_354,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_179]),
[final] ).
cnf(i_0_355,plain,
( esk35_1(X1) = esk36_1(X1)
| duplicatefreeP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_356,plain,
( segmentP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_180]),
[final] ).
cnf(i_0_357,plain,
( rearsegP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_181]),
[final] ).
cnf(i_0_358,plain,
( frontsegP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_182]),
[final] ).
cnf(i_0_359,plain,
( ssList(esk47_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_183]),
[final] ).
cnf(i_0_360,plain,
( ssList(esk44_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_361,plain,
( nil = X1
| ssList(tl(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_184]),
[final] ).
cnf(i_0_362,plain,
( ssItem(esk46_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_185]),
[final] ).
cnf(i_0_363,plain,
( ssItem(esk45_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_364,plain,
( nil = X1
| ssItem(hd(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_186]),
[final] ).
cnf(i_0_365,plain,
( tl(X1) = esk47_1(X1)
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_183]),
[final] ).
cnf(i_0_366,plain,
( hd(X1) = esk46_1(X1)
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[i_0_185]),
[final] ).
cnf(i_0_367,negated_conjecture,
neq(esk49_0,nil),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_368,plain,
~ singletonP(nil),
inference(split_conjunct,[status(thm)],[i_0_187]),
[final] ).
cnf(i_0_369,plain,
equalelemsP(nil),
inference(split_conjunct,[status(thm)],[ax74]),
[final] ).
cnf(i_0_370,plain,
duplicatefreeP(nil),
inference(split_conjunct,[status(thm)],[ax72]),
[final] ).
cnf(i_0_371,plain,
strictorderedP(nil),
inference(split_conjunct,[status(thm)],[ax69]),
[final] ).
cnf(i_0_372,plain,
totalorderedP(nil),
inference(split_conjunct,[status(thm)],[ax66]),
[final] ).
cnf(i_0_373,plain,
strictorderP(nil),
inference(split_conjunct,[status(thm)],[ax64]),
[final] ).
cnf(i_0_374,plain,
totalorderP(nil),
inference(split_conjunct,[status(thm)],[ax62]),
[final] ).
cnf(i_0_375,plain,
cyclefreeP(nil),
inference(split_conjunct,[status(thm)],[ax60]),
[final] ).
cnf(i_0_376,negated_conjecture,
ssList(esk51_0),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_377,negated_conjecture,
ssList(esk50_0),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_378,negated_conjecture,
ssList(esk49_0),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_379,negated_conjecture,
ssList(esk48_0),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_380,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]),
[final] ).
cnf(i_0_381,plain,
ssItem(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_382,plain,
ssItem(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_383,negated_conjecture,
( nil = esk50_0
| nil != esk51_0 ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_384,plain,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[i_0_188]),
[final] ).
cnf(i_0_385,negated_conjecture,
esk49_0 = esk51_0,
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_386,negated_conjecture,
esk48_0 = esk50_0,
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_387,axiom,
X1 = X1 ).
cnf(i_0_388,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_389,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_390,axiom,
( X1 != X2
| app(X1,X3) = app(X2,X3) ) ).
cnf(i_0_391,axiom,
( X1 != X2
| app(X3,X1) = app(X3,X2) ) ).
cnf(i_0_392,axiom,
( X1 != X2
| cons(X1,X3) = cons(X2,X3) ) ).
cnf(i_0_393,axiom,
( X1 != X2
| cons(X3,X1) = cons(X3,X2) ) ).
cnf(i_0_394,axiom,
( X1 != X2
| esk40_1(X1) = esk40_1(X2) ) ).
cnf(i_0_395,axiom,
( X1 != X2
| esk41_1(X1) = esk41_1(X2) ) ).
cnf(i_0_396,axiom,
( X1 != X2
| esk35_1(X1) = esk35_1(X2) ) ).
cnf(i_0_397,axiom,
( X1 != X2
| hd(X1) = hd(X2) ) ).
cnf(i_0_398,axiom,
( X1 != X2
| tl(X1) = tl(X2) ) ).
cnf(i_0_399,axiom,
( X1 != X2
| esk47_1(X1) = esk47_1(X2) ) ).
cnf(i_0_400,axiom,
( X1 != X2
| esk46_1(X1) = esk46_1(X2) ) ).
cnf(i_0_401,axiom,
( X1 != X2
| esk36_1(X1) = esk36_1(X2) ) ).
cnf(i_0_402,axiom,
( X1 != X2
| ~ cyclefreeP(X1)
| cyclefreeP(X2) ) ).
cnf(i_0_403,axiom,
( X1 != X2
| ~ duplicatefreeP(X1)
| duplicatefreeP(X2) ) ).
cnf(i_0_404,axiom,
( X1 != X2
| ~ equalelemsP(X1)
| equalelemsP(X2) ) ).
cnf(i_0_405,axiom,
( X1 != X2
| ~ segmentP(X1,X3)
| segmentP(X2,X3) ) ).
cnf(i_0_406,axiom,
( X1 != X2
| ~ segmentP(X3,X1)
| segmentP(X3,X2) ) ).
cnf(i_0_407,axiom,
( X1 != X2
| ~ memberP(X1,X3)
| memberP(X2,X3) ) ).
cnf(i_0_408,axiom,
( X1 != X2
| ~ memberP(X3,X1)
| memberP(X3,X2) ) ).
cnf(i_0_409,axiom,
( X1 != X2
| ~ frontsegP(X1,X3)
| frontsegP(X2,X3) ) ).
cnf(i_0_410,axiom,
( X1 != X2
| ~ frontsegP(X3,X1)
| frontsegP(X3,X2) ) ).
cnf(i_0_411,axiom,
( X1 != X2
| ~ rearsegP(X1,X3)
| rearsegP(X2,X3) ) ).
cnf(i_0_412,axiom,
( X1 != X2
| ~ rearsegP(X3,X1)
| rearsegP(X3,X2) ) ).
cnf(i_0_413,axiom,
( X1 != X2
| ~ gt(X1,X3)
| gt(X2,X3) ) ).
cnf(i_0_414,axiom,
( X1 != X2
| ~ gt(X3,X1)
| gt(X3,X2) ) ).
cnf(i_0_415,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_416,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_417,axiom,
( X1 != X2
| ~ neq(X1,X3)
| neq(X2,X3) ) ).
cnf(i_0_418,axiom,
( X1 != X2
| ~ neq(X3,X1)
| neq(X3,X2) ) ).
cnf(i_0_419,axiom,
( X1 != X2
| ~ singletonP(X1)
| singletonP(X2) ) ).
cnf(i_0_420,axiom,
( X1 != X2
| ~ ssItem(X1)
| ssItem(X2) ) ).
cnf(i_0_421,axiom,
( X1 != X2
| ~ ssList(X1)
| ssList(X2) ) ).
cnf(i_0_422,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_423,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_424,axiom,
( X1 != X2
| ~ lt(X1,X3)
| lt(X2,X3) ) ).
cnf(i_0_425,axiom,
( X1 != X2
| ~ lt(X3,X1)
| lt(X3,X2) ) ).
cnf(i_0_426,axiom,
( X1 != X2
| ~ strictorderP(X1)
| strictorderP(X2) ) ).
cnf(i_0_427,axiom,
( X1 != X2
| ~ totalorderP(X1)
| totalorderP(X2) ) ).
cnf(i_0_428,axiom,
( X1 != X2
| ~ strictorderedP(X1)
| strictorderedP(X2) ) ).
cnf(i_0_429,axiom,
( X1 != X2
| ~ totalorderedP(X1)
| totalorderedP(X2) ) ).
cnf(i_0_2522,plain,
esk36_1(esk40_1(esk50_0)) = esk36_1(esk40_1(esk48_0)),
inference(scs_inference,[],[i_0_1782,i_0_1835,i_0_2226,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_2628,plain,
~ lt(hd(esk51_0),hd(esk51_0)),
inference(scs_inference,[],[i_0_2228,i_0_304]) ).
cnf(i_0_2630,plain,
~ memberP(nil,hd(esk51_0)),
inference(scs_inference,[],[i_0_2228,i_0_304,i_0_308]) ).
cnf(i_0_2632,plain,
equalelemsP(cons(hd(esk51_0),nil)),
inference(scs_inference,[],[i_0_2228,i_0_304,i_0_308,i_0_293]) ).
cnf(i_0_2634,plain,
duplicatefreeP(cons(hd(esk51_0),nil)),
inference(scs_inference,[],[i_0_2228,i_0_304,i_0_308,i_0_293,i_0_294]) ).
cnf(i_0_2636,plain,
strictorderedP(cons(hd(esk51_0),nil)),
inference(scs_inference,[],[i_0_2228,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295]) ).
cnf(i_0_2638,plain,
totalorderedP(cons(hd(esk51_0),nil)),
inference(scs_inference,[],[i_0_2228,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296]) ).
cnf(i_0_2640,plain,
strictorderP(cons(hd(esk51_0),nil)),
inference(scs_inference,[],[i_0_2228,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297]) ).
cnf(i_0_2642,plain,
totalorderP(cons(hd(esk51_0),nil)),
inference(scs_inference,[],[i_0_2228,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298]) ).
cnf(i_0_2644,plain,
cyclefreeP(cons(hd(esk51_0),nil)),
inference(scs_inference,[],[i_0_2228,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299]) ).
cnf(i_0_2646,plain,
segmentP(esk44_1(esk49_0),nil),
inference(scs_inference,[],[i_0_1837,i_0_2228,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356]) ).
cnf(i_0_2648,plain,
app(nil,esk44_1(esk49_0)) = esk44_1(esk49_0),
inference(scs_inference,[],[i_0_1837,i_0_2228,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353]) ).
cnf(i_0_2650,plain,
app(esk44_1(esk49_0),nil) = esk44_1(esk49_0),
inference(scs_inference,[],[i_0_1837,i_0_2228,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354]) ).
cnf(i_0_2652,plain,
rearsegP(esk44_1(esk49_0),nil),
inference(scs_inference,[],[i_0_1837,i_0_2228,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357]) ).
cnf(i_0_2654,plain,
frontsegP(esk44_1(esk49_0),nil),
inference(scs_inference,[],[i_0_1837,i_0_2228,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358]) ).
cnf(i_0_2656,plain,
app(esk41_1(esk50_0),X1) = app(esk41_1(esk48_0),X1),
inference(scs_inference,[],[i_0_1783,i_0_1837,i_0_2228,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390]) ).
cnf(i_0_2657,plain,
app(X1,esk41_1(esk50_0)) = app(X1,esk41_1(esk48_0)),
inference(scs_inference,[],[i_0_1783,i_0_1837,i_0_2228,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391]) ).
cnf(i_0_2658,plain,
cons(esk41_1(esk50_0),X1) = cons(esk41_1(esk48_0),X1),
inference(scs_inference,[],[i_0_1783,i_0_1837,i_0_2228,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392]) ).
cnf(i_0_2659,plain,
cons(X1,esk41_1(esk50_0)) = cons(X1,esk41_1(esk48_0)),
inference(scs_inference,[],[i_0_1783,i_0_1837,i_0_2228,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393]) ).
cnf(i_0_2660,plain,
esk40_1(esk41_1(esk50_0)) = esk40_1(esk41_1(esk48_0)),
inference(scs_inference,[],[i_0_1783,i_0_1837,i_0_2228,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394]) ).
cnf(i_0_2661,plain,
esk41_1(esk41_1(esk50_0)) = esk41_1(esk41_1(esk48_0)),
inference(scs_inference,[],[i_0_1783,i_0_1837,i_0_2228,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395]) ).
cnf(i_0_2662,plain,
esk35_1(esk41_1(esk50_0)) = esk35_1(esk41_1(esk48_0)),
inference(scs_inference,[],[i_0_1783,i_0_1837,i_0_2228,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396]) ).
cnf(i_0_2663,plain,
hd(esk41_1(esk50_0)) = hd(esk41_1(esk48_0)),
inference(scs_inference,[],[i_0_1783,i_0_1837,i_0_2228,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397]) ).
cnf(i_0_2664,plain,
tl(esk41_1(esk50_0)) = tl(esk41_1(esk48_0)),
inference(scs_inference,[],[i_0_1783,i_0_1837,i_0_2228,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398]) ).
cnf(i_0_2665,plain,
esk47_1(esk41_1(esk50_0)) = esk47_1(esk41_1(esk48_0)),
inference(scs_inference,[],[i_0_1783,i_0_1837,i_0_2228,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_2666,plain,
esk46_1(esk41_1(esk50_0)) = esk46_1(esk41_1(esk48_0)),
inference(scs_inference,[],[i_0_1783,i_0_1837,i_0_2228,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_2667,plain,
esk36_1(esk41_1(esk50_0)) = esk36_1(esk41_1(esk48_0)),
inference(scs_inference,[],[i_0_1783,i_0_1837,i_0_2228,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_2668,plain,
app(nil,esk49_0) != app(nil,nil),
inference(scs_inference,[],[i_0_1965,i_0_1783,i_0_1837,i_0_2228,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388]) ).
cnf(i_0_2669,plain,
cons(hd(esk51_0),esk44_1(esk49_0)) != esk44_1(esk49_0),
inference(scs_inference,[],[i_0_1965,i_0_1783,i_0_1837,i_0_2228,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289]) ).
cnf(i_0_3060,plain,
app(app(esk50_0,esk50_0),X1) = app(app(esk48_0,esk48_0),X1),
inference(rename_variables,[],[i_0_2192]) ).
cnf(i_0_3322,plain,
~ lt(esk5_1(app(cons(esk1_0,nil),nil)),esk5_1(app(cons(esk1_0,nil),nil))),
inference(scs_inference,[],[i_0_2206,i_0_304]) ).
cnf(i_0_3324,plain,
~ memberP(nil,esk5_1(app(cons(esk1_0,nil),nil))),
inference(scs_inference,[],[i_0_2206,i_0_304,i_0_308]) ).
cnf(i_0_3326,plain,
equalelemsP(cons(esk5_1(app(cons(esk1_0,nil),nil)),nil)),
inference(scs_inference,[],[i_0_2206,i_0_304,i_0_308,i_0_293]) ).
cnf(i_0_3328,plain,
duplicatefreeP(cons(esk5_1(app(cons(esk1_0,nil),nil)),nil)),
inference(scs_inference,[],[i_0_2206,i_0_304,i_0_308,i_0_293,i_0_294]) ).
cnf(i_0_3330,plain,
strictorderedP(cons(esk5_1(app(cons(esk1_0,nil),nil)),nil)),
inference(scs_inference,[],[i_0_2206,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295]) ).
cnf(i_0_3332,plain,
totalorderedP(cons(esk5_1(app(cons(esk1_0,nil),nil)),nil)),
inference(scs_inference,[],[i_0_2206,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296]) ).
cnf(i_0_3334,plain,
strictorderP(cons(esk5_1(app(cons(esk1_0,nil),nil)),nil)),
inference(scs_inference,[],[i_0_2206,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297]) ).
cnf(i_0_3336,plain,
totalorderP(cons(esk5_1(app(cons(esk1_0,nil),nil)),nil)),
inference(scs_inference,[],[i_0_2206,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298]) ).
cnf(i_0_3338,plain,
cyclefreeP(cons(esk5_1(app(cons(esk1_0,nil),nil)),nil)),
inference(scs_inference,[],[i_0_2206,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299]) ).
cnf(i_0_3340,plain,
segmentP(esk6_2(esk51_0,esk51_0),nil),
inference(scs_inference,[],[i_0_1880,i_0_2206,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356]) ).
cnf(i_0_3342,plain,
app(nil,esk6_2(esk51_0,esk51_0)) = esk6_2(esk51_0,esk51_0),
inference(scs_inference,[],[i_0_1880,i_0_2206,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353]) ).
cnf(i_0_3344,plain,
app(esk6_2(esk51_0,esk51_0),nil) = esk6_2(esk51_0,esk51_0),
inference(scs_inference,[],[i_0_1880,i_0_2206,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354]) ).
cnf(i_0_3346,plain,
rearsegP(esk6_2(esk51_0,esk51_0),nil),
inference(scs_inference,[],[i_0_1880,i_0_2206,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357]) ).
cnf(i_0_3348,plain,
frontsegP(esk6_2(esk51_0,esk51_0),nil),
inference(scs_inference,[],[i_0_1880,i_0_2206,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358]) ).
cnf(i_0_3350,plain,
app(esk46_1(esk50_0),X1) = app(esk46_1(esk48_0),X1),
inference(scs_inference,[],[i_0_1788,i_0_1880,i_0_2206,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390]) ).
cnf(i_0_3351,plain,
app(X1,esk46_1(esk50_0)) = app(X1,esk46_1(esk48_0)),
inference(scs_inference,[],[i_0_1788,i_0_1880,i_0_2206,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391]) ).
cnf(i_0_3352,plain,
cons(esk46_1(esk50_0),X1) = cons(esk46_1(esk48_0),X1),
inference(scs_inference,[],[i_0_1788,i_0_1880,i_0_2206,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392]) ).
cnf(i_0_3353,plain,
cons(X1,esk46_1(esk50_0)) = cons(X1,esk46_1(esk48_0)),
inference(scs_inference,[],[i_0_1788,i_0_1880,i_0_2206,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393]) ).
cnf(i_0_3354,plain,
esk40_1(esk46_1(esk50_0)) = esk40_1(esk46_1(esk48_0)),
inference(scs_inference,[],[i_0_1788,i_0_1880,i_0_2206,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394]) ).
cnf(i_0_3355,plain,
esk41_1(esk46_1(esk50_0)) = esk41_1(esk46_1(esk48_0)),
inference(scs_inference,[],[i_0_1788,i_0_1880,i_0_2206,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395]) ).
cnf(i_0_3356,plain,
esk35_1(esk46_1(esk50_0)) = esk35_1(esk46_1(esk48_0)),
inference(scs_inference,[],[i_0_1788,i_0_1880,i_0_2206,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396]) ).
cnf(i_0_3357,plain,
hd(esk46_1(esk50_0)) = hd(esk46_1(esk48_0)),
inference(scs_inference,[],[i_0_1788,i_0_1880,i_0_2206,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397]) ).
cnf(i_0_3358,plain,
tl(esk46_1(esk50_0)) = tl(esk46_1(esk48_0)),
inference(scs_inference,[],[i_0_1788,i_0_1880,i_0_2206,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398]) ).
cnf(i_0_3359,plain,
esk47_1(esk46_1(esk50_0)) = esk47_1(esk46_1(esk48_0)),
inference(scs_inference,[],[i_0_1788,i_0_1880,i_0_2206,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_3360,plain,
esk46_1(esk46_1(esk50_0)) = esk46_1(esk46_1(esk48_0)),
inference(scs_inference,[],[i_0_1788,i_0_1880,i_0_2206,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_3361,plain,
esk36_1(esk46_1(esk50_0)) = esk36_1(esk46_1(esk48_0)),
inference(scs_inference,[],[i_0_1788,i_0_1880,i_0_2206,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_2523,plain,
cons(esk2_0,nil) != cons(esk1_0,esk49_0),
inference(scs_inference,[],[i_0_2412,i_0_1782,i_0_1835,i_0_2226,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388]) ).
cnf(i_0_2524,plain,
cons(esk45_1(esk51_0),esk47_1(esk49_0)) != esk47_1(esk49_0),
inference(scs_inference,[],[i_0_2412,i_0_1782,i_0_1835,i_0_2226,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289]) ).
cnf(i_0_2526,plain,
~ frontsegP(nil,cons(esk46_1(esk51_0),esk8_2(nil,nil))),
inference(scs_inference,[],[i_0_2412,i_0_1782,i_0_1835,i_0_2226,i_0_2406,i_0_2404,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307]) ).
cnf(i_0_2528,plain,
ssList(esk47_1(cons(esk46_1(esk51_0),esk8_2(nil,nil)))),
inference(scs_inference,[],[i_0_2412,i_0_1782,i_0_1835,i_0_2226,i_0_2406,i_0_2404,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359]) ).
cnf(i_0_2530,plain,
ssList(esk44_1(cons(esk46_1(esk51_0),esk8_2(nil,nil)))),
inference(scs_inference,[],[i_0_2412,i_0_1782,i_0_1835,i_0_2226,i_0_2406,i_0_2404,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360]) ).
cnf(i_0_2532,plain,
ssList(tl(cons(esk46_1(esk51_0),esk8_2(nil,nil)))),
inference(scs_inference,[],[i_0_2412,i_0_1782,i_0_1835,i_0_2226,i_0_2406,i_0_2404,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361]) ).
cnf(i_0_2534,plain,
ssItem(esk46_1(cons(esk46_1(esk51_0),esk8_2(nil,nil)))),
inference(scs_inference,[],[i_0_2412,i_0_1782,i_0_1835,i_0_2226,i_0_2406,i_0_2404,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362]) ).
cnf(i_0_2536,plain,
ssItem(esk45_1(cons(esk46_1(esk51_0),esk8_2(nil,nil)))),
inference(scs_inference,[],[i_0_2412,i_0_1782,i_0_1835,i_0_2226,i_0_2406,i_0_2404,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363]) ).
cnf(i_0_2538,plain,
ssItem(hd(cons(esk46_1(esk51_0),esk8_2(nil,nil)))),
inference(scs_inference,[],[i_0_2412,i_0_1782,i_0_1835,i_0_2226,i_0_2406,i_0_2404,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364]) ).
cnf(i_0_2540,plain,
tl(cons(esk45_1(esk51_0),esk47_1(esk49_0))) = esk47_1(esk49_0),
inference(scs_inference,[],[i_0_2412,i_0_1782,i_0_1835,i_0_2226,i_0_2406,i_0_2404,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277]) ).
cnf(i_0_2542,plain,
hd(cons(esk45_1(esk51_0),esk47_1(esk49_0))) = esk45_1(esk51_0),
inference(scs_inference,[],[i_0_2412,i_0_1782,i_0_1835,i_0_2226,i_0_2406,i_0_2404,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278]) ).
cnf(i_0_2548,plain,
cons(esk45_1(esk51_0),esk47_1(esk49_0)) = app(cons(esk45_1(esk51_0),nil),esk47_1(esk49_0)),
inference(scs_inference,[],[i_0_2412,i_0_1782,i_0_1835,i_0_2226,i_0_2406,i_0_2404,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250]) ).
cnf(i_0_2550,plain,
~ segmentP(nil,cons(esk46_1(esk51_0),esk8_2(nil,nil))),
inference(scs_inference,[],[i_0_2412,i_0_1782,i_0_1835,i_0_2226,i_0_2406,i_0_2404,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305]) ).
cnf(i_0_2552,plain,
~ rearsegP(nil,cons(esk46_1(esk51_0),esk8_2(nil,nil))),
inference(scs_inference,[],[i_0_2412,i_0_1782,i_0_1835,i_0_2226,i_0_2406,i_0_2404,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306]) ).
cnf(i_0_2554,plain,
nil != cons(esk45_1(esk51_0),esk47_1(esk49_0)),
inference(scs_inference,[],[i_0_2412,i_0_1782,i_0_1835,i_0_2226,i_0_2406,i_0_2404,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290]) ).
cnf(i_0_2556,plain,
ssList(cons(esk45_1(esk51_0),esk47_1(esk49_0))),
inference(scs_inference,[],[i_0_2412,i_0_1782,i_0_1835,i_0_2226,i_0_2406,i_0_2404,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280]) ).
cnf(i_0_2558,plain,
~ frontsegP(app(esk7_2(nil,nil),nil),esk51_0),
inference(scs_inference,[],[i_0_2216,i_0_2412,i_0_1782,i_0_1835,i_0_2226,i_0_2406,i_0_2087,i_0_2404,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_409]) ).
cnf(i_0_2559,plain,
~ rearsegP(nil,cons(hd(esk49_0),tl(esk49_0))),
inference(scs_inference,[],[i_0_2216,i_0_2412,i_0_1782,i_0_1835,i_0_2226,i_0_2406,i_0_2087,i_0_2404,i_0_1855,i_0_1831,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_409,i_0_412]) ).
cnf(i_0_2560,plain,
app(cons(esk1_0,nil),nil) != app(app(nil,nil),nil),
inference(scs_inference,[],[i_0_2216,i_0_2412,i_0_1782,i_0_1835,i_0_2226,i_0_2245,i_0_2406,i_0_2087,i_0_2404,i_0_1855,i_0_2058,i_0_1831,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_409,i_0_412,i_0_419]) ).
cnf(i_0_2561,plain,
~ frontsegP(nil,cons(hd(esk49_0),tl(esk49_0))),
inference(scs_inference,[],[i_0_2216,i_0_2412,i_0_1782,i_0_1835,i_0_2226,i_0_2245,i_0_2406,i_0_2087,i_0_2404,i_0_1855,i_0_1833,i_0_2058,i_0_1831,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_409,i_0_412,i_0_419,i_0_410]) ).
cnf(i_0_2562,plain,
~ memberP(app(esk7_2(nil,nil),nil),esk46_1(esk51_0)),
inference(scs_inference,[],[i_0_2216,i_0_2412,i_0_1782,i_0_1835,i_0_2226,i_0_2334,i_0_2245,i_0_2406,i_0_2087,i_0_2404,i_0_1855,i_0_1833,i_0_2058,i_0_1831,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_409,i_0_412,i_0_419,i_0_410,i_0_407]) ).
cnf(i_0_2563,plain,
~ rearsegP(app(esk7_2(nil,nil),nil),cons(esk1_0,nil)),
inference(scs_inference,[],[i_0_2216,i_0_2412,i_0_2027,i_0_1782,i_0_1835,i_0_2226,i_0_2334,i_0_2245,i_0_2406,i_0_2087,i_0_2404,i_0_1855,i_0_1833,i_0_2058,i_0_1831,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_409,i_0_412,i_0_419,i_0_410,i_0_407,i_0_411]) ).
cnf(i_0_2564,plain,
cons(esk2_0,nil) != app(cons(esk1_0,nil),esk6_2(cons(esk1_0,nil),cons(esk1_0,nil))),
inference(scs_inference,[],[i_0_2216,i_0_2412,i_0_2205,i_0_2027,i_0_1782,i_0_1835,i_0_2226,i_0_2334,i_0_2245,i_0_2406,i_0_2087,i_0_2404,i_0_1855,i_0_2089,i_0_1833,i_0_2058,i_0_1831,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_409,i_0_412,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389]) ).
cnf(i_0_2565,plain,
~ segmentP(app(esk48_0,nil),cons(hd(esk49_0),tl(esk49_0))),
inference(scs_inference,[],[i_0_2216,i_0_2412,i_0_2205,i_0_2027,i_0_1782,i_0_1835,i_0_2226,i_0_2254,i_0_2334,i_0_2245,i_0_2406,i_0_2087,i_0_2404,i_0_1855,i_0_2089,i_0_1833,i_0_2058,i_0_1831,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_409,i_0_412,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_406]) ).
cnf(i_0_2566,plain,
ssList(app(esk47_1(esk49_0),esk47_1(esk49_0))),
inference(scs_inference,[],[i_0_2216,i_0_2412,i_0_2205,i_0_2027,i_0_1782,i_0_1835,i_0_2226,i_0_2254,i_0_2334,i_0_2245,i_0_2406,i_0_2087,i_0_2404,i_0_1855,i_0_2089,i_0_1833,i_0_2058,i_0_1831,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_409,i_0_412,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_406,i_0_279]) ).
cnf(i_0_2568,plain,
~ segmentP(app(esk7_2(nil,nil),nil),esk51_0),
inference(scs_inference,[],[i_0_2125,i_0_2216,i_0_2412,i_0_2205,i_0_2027,i_0_1782,i_0_1835,i_0_2226,i_0_2254,i_0_2334,i_0_2245,i_0_2406,i_0_2087,i_0_2404,i_0_1855,i_0_2089,i_0_1833,i_0_2058,i_0_1831,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_409,i_0_412,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_406,i_0_279,i_0_405]) ).
cnf(i_0_2569,plain,
ssList(app(cons(esk46_1(esk49_0),nil),app(nil,nil))),
inference(scs_inference,[],[i_0_2125,i_0_2216,i_0_2412,i_0_2205,i_0_2027,i_0_1782,i_0_1835,i_0_2226,i_0_2254,i_0_2334,i_0_2245,i_0_2406,i_0_2087,i_0_2404,i_0_1855,i_0_2089,i_0_2051,i_0_1833,i_0_2058,i_0_1831,i_0_2053,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_409,i_0_412,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_406,i_0_279,i_0_405,i_0_421]) ).
cnf(i_0_2570,plain,
~ neq(esk48_0,app(esk7_2(esk48_0,esk48_0),esk48_0)),
inference(scs_inference,[],[i_0_2125,i_0_2216,i_0_2412,i_0_2205,i_0_2027,i_0_1782,i_0_1835,i_0_2226,i_0_2254,i_0_2334,i_0_2245,i_0_2406,i_0_2087,i_0_2277,i_0_2404,i_0_1855,i_0_2089,i_0_2051,i_0_506,i_0_1833,i_0_2058,i_0_1831,i_0_2053,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_409,i_0_412,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_406,i_0_279,i_0_405,i_0_421,i_0_418]) ).
cnf(i_0_2571,plain,
~ neq(app(esk7_2(nil,nil),nil),tl(cons(esk1_0,nil))),
inference(scs_inference,[],[i_0_2125,i_0_2216,i_0_2412,i_0_2205,i_0_2027,i_0_1782,i_0_1835,i_0_2226,i_0_2254,i_0_2334,i_0_2245,i_0_2406,i_0_1929,i_0_2087,i_0_2277,i_0_2404,i_0_1855,i_0_2089,i_0_2051,i_0_506,i_0_1833,i_0_2058,i_0_1831,i_0_2053,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_409,i_0_412,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_406,i_0_279,i_0_405,i_0_421,i_0_418,i_0_417]) ).
cnf(i_0_2572,plain,
ssList(esk4_2(app(cons(esk1_0,nil),nil),esk1_0)),
inference(scs_inference,[],[i_0_2125,i_0_2216,i_0_2412,i_0_2205,i_0_2027,i_0_1782,i_0_1835,i_0_2226,i_0_2254,i_0_2334,i_0_2245,i_0_2406,i_0_1929,i_0_2087,i_0_2277,i_0_2404,i_0_1908,i_0_1855,i_0_2089,i_0_2051,i_0_506,i_0_1833,i_0_2058,i_0_1831,i_0_2053,i_0_1940,i_0_382,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_409,i_0_412,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_406,i_0_279,i_0_405,i_0_421,i_0_418,i_0_417,i_0_246]) ).
cnf(i_0_2574,plain,
ssList(esk3_2(app(cons(esk1_0,nil),nil),esk1_0)),
inference(scs_inference,[],[i_0_2125,i_0_2216,i_0_2412,i_0_2205,i_0_2027,i_0_1782,i_0_1835,i_0_2226,i_0_2254,i_0_2334,i_0_2245,i_0_2406,i_0_1929,i_0_2087,i_0_2277,i_0_2404,i_0_1908,i_0_1855,i_0_2089,i_0_2051,i_0_506,i_0_1833,i_0_2058,i_0_1831,i_0_2053,i_0_1940,i_0_382,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_409,i_0_412,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_406,i_0_279,i_0_405,i_0_421,i_0_418,i_0_417,i_0_246,i_0_247]) ).
cnf(i_0_2578,plain,
nil != app(cons(esk46_1(esk51_0),esk8_2(nil,nil)),cons(esk46_1(esk51_0),esk8_2(nil,nil))),
inference(scs_inference,[],[i_0_2125,i_0_2216,i_0_2412,i_0_2205,i_0_2027,i_0_1782,i_0_1835,i_0_2226,i_0_2254,i_0_2334,i_0_2245,i_0_2406,i_0_1929,i_0_2087,i_0_2277,i_0_2404,i_0_1908,i_0_1855,i_0_2089,i_0_2051,i_0_506,i_0_1833,i_0_2058,i_0_1831,i_0_2053,i_0_1940,i_0_382,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_409,i_0_412,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_406,i_0_279,i_0_405,i_0_421,i_0_418,i_0_417,i_0_246,i_0_247,i_0_204,i_0_285]) ).
cnf(i_0_2588,plain,
ssList(esk6_2(app(cons(esk1_0,nil),nil),cons(esk1_0,nil))),
inference(scs_inference,[],[i_0_2125,i_0_2216,i_0_2412,i_0_2205,i_0_2027,i_0_1782,i_0_1835,i_0_2226,i_0_2254,i_0_2334,i_0_2245,i_0_2406,i_0_1929,i_0_2087,i_0_2277,i_0_2404,i_0_1908,i_0_1855,i_0_2089,i_0_2051,i_0_506,i_0_1955,i_0_1833,i_0_2058,i_0_1831,i_0_2053,i_0_1940,i_0_1825,i_0_382,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_409,i_0_412,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_406,i_0_279,i_0_405,i_0_421,i_0_418,i_0_417,i_0_246,i_0_247,i_0_204,i_0_285,i_0_273,i_0_214,i_0_215,i_0_248,i_0_245]) ).
cnf(i_0_2592,plain,
app(cons(esk1_0,nil),esk6_2(app(cons(esk1_0,nil),nil),cons(esk1_0,nil))) = app(cons(esk1_0,nil),nil),
inference(scs_inference,[],[i_0_2125,i_0_2216,i_0_2412,i_0_2205,i_0_2027,i_0_1782,i_0_1835,i_0_2226,i_0_2254,i_0_2334,i_0_2245,i_0_2406,i_0_1929,i_0_2087,i_0_2277,i_0_2404,i_0_1908,i_0_1855,i_0_2089,i_0_2051,i_0_506,i_0_1955,i_0_1833,i_0_2058,i_0_1831,i_0_2053,i_0_1940,i_0_2240,i_0_2242,i_0_1825,i_0_382,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_409,i_0_412,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_406,i_0_279,i_0_405,i_0_421,i_0_418,i_0_417,i_0_246,i_0_247,i_0_204,i_0_285,i_0_273,i_0_214,i_0_215,i_0_248,i_0_245,i_0_286,i_0_234]) ).
cnf(i_0_2594,plain,
~ gt(esk45_1(esk51_0),esk45_1(esk51_0)),
inference(scs_inference,[],[i_0_2125,i_0_2216,i_0_2412,i_0_2205,i_0_2027,i_0_1782,i_0_1835,i_0_2226,i_0_2254,i_0_2334,i_0_2245,i_0_2406,i_0_1929,i_0_2087,i_0_2277,i_0_2404,i_0_1908,i_0_1855,i_0_2089,i_0_2051,i_0_506,i_0_1955,i_0_1833,i_0_2058,i_0_1831,i_0_2053,i_0_1940,i_0_2240,i_0_2242,i_0_1825,i_0_382,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_409,i_0_412,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_406,i_0_279,i_0_405,i_0_421,i_0_418,i_0_417,i_0_246,i_0_247,i_0_204,i_0_285,i_0_273,i_0_214,i_0_215,i_0_248,i_0_245,i_0_286,i_0_234,i_0_270]) ).
cnf(i_0_2596,plain,
ssList(esk9_2(esk9_2(nil,nil),nil)),
inference(scs_inference,[],[i_0_2125,i_0_2216,i_0_2412,i_0_2205,i_0_2027,i_0_1782,i_0_1835,i_0_2182,i_0_2226,i_0_2254,i_0_2334,i_0_2245,i_0_2406,i_0_1929,i_0_2087,i_0_2277,i_0_2404,i_0_1908,i_0_1855,i_0_2089,i_0_2051,i_0_506,i_0_1955,i_0_1833,i_0_2058,i_0_1831,i_0_2053,i_0_1940,i_0_2240,i_0_2242,i_0_1825,i_0_2075,i_0_382,i_0_380,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_409,i_0_412,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_406,i_0_279,i_0_405,i_0_421,i_0_418,i_0_417,i_0_246,i_0_247,i_0_204,i_0_285,i_0_273,i_0_214,i_0_215,i_0_248,i_0_245,i_0_286,i_0_234,i_0_270,i_0_242]) ).
cnf(i_0_2598,plain,
ssList(esk8_2(esk9_2(nil,nil),nil)),
inference(scs_inference,[],[i_0_2125,i_0_2216,i_0_2412,i_0_2205,i_0_2027,i_0_1782,i_0_1835,i_0_2182,i_0_2226,i_0_2254,i_0_2334,i_0_2245,i_0_2406,i_0_1929,i_0_2087,i_0_2277,i_0_2404,i_0_1908,i_0_1855,i_0_2089,i_0_2051,i_0_506,i_0_1955,i_0_1833,i_0_2058,i_0_1831,i_0_2053,i_0_1940,i_0_2240,i_0_2242,i_0_1825,i_0_2075,i_0_382,i_0_380,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_409,i_0_412,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_406,i_0_279,i_0_405,i_0_421,i_0_418,i_0_417,i_0_246,i_0_247,i_0_204,i_0_285,i_0_273,i_0_214,i_0_215,i_0_248,i_0_245,i_0_286,i_0_234,i_0_270,i_0_242,i_0_243]) ).
cnf(i_0_2600,plain,
ssList(esk7_2(esk50_0,nil)),
inference(scs_inference,[],[i_0_2125,i_0_2216,i_0_2413,i_0_2412,i_0_2205,i_0_2027,i_0_1782,i_0_1835,i_0_2182,i_0_2226,i_0_2254,i_0_2334,i_0_2245,i_0_2406,i_0_1929,i_0_2087,i_0_2277,i_0_2404,i_0_1908,i_0_1855,i_0_2089,i_0_2051,i_0_506,i_0_1955,i_0_1833,i_0_2058,i_0_1831,i_0_2053,i_0_1940,i_0_2240,i_0_2242,i_0_1825,i_0_2075,i_0_382,i_0_380,i_0_377,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_409,i_0_412,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_406,i_0_279,i_0_405,i_0_421,i_0_418,i_0_417,i_0_246,i_0_247,i_0_204,i_0_285,i_0_273,i_0_214,i_0_215,i_0_248,i_0_245,i_0_286,i_0_234,i_0_270,i_0_242,i_0_243,i_0_244]) ).
cnf(i_0_2602,plain,
app(esk7_2(esk50_0,nil),nil) = esk50_0,
inference(scs_inference,[],[i_0_2125,i_0_2216,i_0_2413,i_0_2412,i_0_2205,i_0_2027,i_0_1782,i_0_1835,i_0_2182,i_0_2226,i_0_2254,i_0_2334,i_0_2245,i_0_2406,i_0_1929,i_0_2087,i_0_2277,i_0_2404,i_0_1908,i_0_1855,i_0_2089,i_0_2051,i_0_506,i_0_1955,i_0_1833,i_0_2058,i_0_1831,i_0_2053,i_0_1940,i_0_2240,i_0_2242,i_0_1825,i_0_2075,i_0_382,i_0_380,i_0_377,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_409,i_0_412,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_406,i_0_279,i_0_405,i_0_421,i_0_418,i_0_417,i_0_246,i_0_247,i_0_204,i_0_285,i_0_273,i_0_214,i_0_215,i_0_248,i_0_245,i_0_286,i_0_234,i_0_270,i_0_242,i_0_243,i_0_244,i_0_233]) ).
cnf(i_0_2604,plain,
app(app(esk8_2(esk9_2(nil,nil),nil),nil),esk9_2(esk9_2(nil,nil),nil)) = esk9_2(nil,nil),
inference(scs_inference,[],[i_0_2125,i_0_2216,i_0_2413,i_0_2412,i_0_2205,i_0_2027,i_0_1782,i_0_1835,i_0_2182,i_0_2226,i_0_2254,i_0_2334,i_0_2245,i_0_2406,i_0_1929,i_0_2087,i_0_2277,i_0_2404,i_0_1908,i_0_1855,i_0_2089,i_0_2051,i_0_506,i_0_1955,i_0_1833,i_0_2058,i_0_1831,i_0_2053,i_0_1940,i_0_2240,i_0_2242,i_0_1825,i_0_2075,i_0_382,i_0_380,i_0_377,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_409,i_0_412,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_406,i_0_279,i_0_405,i_0_421,i_0_418,i_0_417,i_0_246,i_0_247,i_0_204,i_0_285,i_0_273,i_0_214,i_0_215,i_0_248,i_0_245,i_0_286,i_0_234,i_0_270,i_0_242,i_0_243,i_0_244,i_0_233,i_0_203]) ).
cnf(i_0_2606,plain,
rearsegP(app(esk47_1(esk49_0),esk50_0),nil),
inference(scs_inference,[],[i_0_2125,i_0_2216,i_0_2413,i_0_2412,i_0_2205,i_0_2027,i_0_1782,i_0_1835,i_0_2182,i_0_2226,i_0_2254,i_0_2334,i_0_2245,i_0_2406,i_0_1929,i_0_2087,i_0_2277,i_0_2404,i_0_1908,i_0_1855,i_0_2089,i_0_2051,i_0_506,i_0_1955,i_0_1833,i_0_2058,i_0_1831,i_0_2053,i_0_1940,i_0_2240,i_0_2242,i_0_1825,i_0_2075,i_0_382,i_0_380,i_0_377,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_409,i_0_412,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_406,i_0_279,i_0_405,i_0_421,i_0_418,i_0_417,i_0_246,i_0_247,i_0_204,i_0_285,i_0_273,i_0_214,i_0_215,i_0_248,i_0_245,i_0_286,i_0_234,i_0_270,i_0_242,i_0_243,i_0_244,i_0_233,i_0_203,i_0_218]) ).
cnf(i_0_2608,plain,
frontsegP(app(esk50_0,esk47_1(esk49_0)),nil),
inference(scs_inference,[],[i_0_2125,i_0_2216,i_0_2408,i_0_2413,i_0_2412,i_0_2205,i_0_2027,i_0_1782,i_0_1835,i_0_2182,i_0_2226,i_0_2254,i_0_2334,i_0_2245,i_0_2406,i_0_1929,i_0_2087,i_0_2277,i_0_2404,i_0_1908,i_0_1855,i_0_2089,i_0_2051,i_0_506,i_0_1955,i_0_1833,i_0_2058,i_0_1831,i_0_2053,i_0_1940,i_0_2240,i_0_2242,i_0_1825,i_0_2075,i_0_382,i_0_380,i_0_377,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_409,i_0_412,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_406,i_0_279,i_0_405,i_0_421,i_0_418,i_0_417,i_0_246,i_0_247,i_0_204,i_0_285,i_0_273,i_0_214,i_0_215,i_0_248,i_0_245,i_0_286,i_0_234,i_0_270,i_0_242,i_0_243,i_0_244,i_0_233,i_0_203,i_0_218,i_0_219]) ).
cnf(i_0_2610,plain,
segmentP(app(app(esk47_1(esk49_0),esk9_2(nil,nil)),esk47_1(esk49_0)),nil),
inference(scs_inference,[],[i_0_2125,i_0_2216,i_0_2408,i_0_2413,i_0_2412,i_0_2205,i_0_2027,i_0_1782,i_0_1835,i_0_2182,i_0_2226,i_0_2254,i_0_2334,i_0_2245,i_0_2406,i_0_1929,i_0_2087,i_0_2277,i_0_2404,i_0_1908,i_0_1855,i_0_2089,i_0_2051,i_0_506,i_0_1955,i_0_1833,i_0_2058,i_0_1831,i_0_2053,i_0_1940,i_0_2240,i_0_2242,i_0_1825,i_0_2075,i_0_382,i_0_380,i_0_377,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_409,i_0_412,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_406,i_0_279,i_0_405,i_0_421,i_0_418,i_0_417,i_0_246,i_0_247,i_0_204,i_0_285,i_0_273,i_0_214,i_0_215,i_0_248,i_0_245,i_0_286,i_0_234,i_0_270,i_0_242,i_0_243,i_0_244,i_0_233,i_0_203,i_0_218,i_0_219,i_0_206]) ).
cnf(i_0_2612,plain,
app(nil,cons(esk45_1(esk51_0),nil)) != nil,
inference(scs_inference,[],[i_0_2125,i_0_2216,i_0_2408,i_0_2413,i_0_2412,i_0_2205,i_0_2027,i_0_1782,i_0_1835,i_0_2182,i_0_2226,i_0_2254,i_0_2334,i_0_2245,i_0_2406,i_0_1929,i_0_2087,i_0_2277,i_0_2404,i_0_1908,i_0_1855,i_0_2089,i_0_2051,i_0_506,i_0_1955,i_0_1833,i_0_2058,i_0_1831,i_0_2053,i_0_1940,i_0_2240,i_0_2242,i_0_1825,i_0_2075,i_0_382,i_0_380,i_0_377,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_409,i_0_412,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_406,i_0_279,i_0_405,i_0_421,i_0_418,i_0_417,i_0_246,i_0_247,i_0_204,i_0_285,i_0_273,i_0_214,i_0_215,i_0_248,i_0_245,i_0_286,i_0_234,i_0_270,i_0_242,i_0_243,i_0_244,i_0_233,i_0_203,i_0_218,i_0_219,i_0_206,i_0_212]) ).
cnf(i_0_2671,plain,
~ frontsegP(nil,cons(esk45_1(esk51_0),esk47_1(esk49_0))),
inference(scs_inference,[],[i_0_1965,i_0_1783,i_0_1837,i_0_2228,i_0_2556,i_0_2554,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307]) ).
cnf(i_0_2673,plain,
ssList(esk47_1(cons(esk45_1(esk51_0),esk47_1(esk49_0)))),
inference(scs_inference,[],[i_0_1965,i_0_1783,i_0_1837,i_0_2228,i_0_2556,i_0_2554,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359]) ).
cnf(i_0_2675,plain,
ssList(esk44_1(cons(esk45_1(esk51_0),esk47_1(esk49_0)))),
inference(scs_inference,[],[i_0_1965,i_0_1783,i_0_1837,i_0_2228,i_0_2556,i_0_2554,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360]) ).
cnf(i_0_2677,plain,
ssList(tl(cons(esk45_1(esk51_0),esk47_1(esk49_0)))),
inference(scs_inference,[],[i_0_1965,i_0_1783,i_0_1837,i_0_2228,i_0_2556,i_0_2554,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361]) ).
cnf(i_0_2679,plain,
ssItem(esk46_1(cons(esk45_1(esk51_0),esk47_1(esk49_0)))),
inference(scs_inference,[],[i_0_1965,i_0_1783,i_0_1837,i_0_2228,i_0_2556,i_0_2554,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362]) ).
cnf(i_0_2681,plain,
ssItem(esk45_1(cons(esk45_1(esk51_0),esk47_1(esk49_0)))),
inference(scs_inference,[],[i_0_1965,i_0_1783,i_0_1837,i_0_2228,i_0_2556,i_0_2554,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363]) ).
cnf(i_0_2683,plain,
ssItem(hd(cons(esk45_1(esk51_0),esk47_1(esk49_0)))),
inference(scs_inference,[],[i_0_1965,i_0_1783,i_0_1837,i_0_2228,i_0_2556,i_0_2554,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364]) ).
cnf(i_0_2685,plain,
tl(cons(hd(esk51_0),esk44_1(esk49_0))) = esk44_1(esk49_0),
inference(scs_inference,[],[i_0_1965,i_0_1783,i_0_1837,i_0_2228,i_0_2556,i_0_2554,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277]) ).
cnf(i_0_2687,plain,
hd(cons(hd(esk51_0),esk44_1(esk49_0))) = hd(esk51_0),
inference(scs_inference,[],[i_0_1965,i_0_1783,i_0_1837,i_0_2228,i_0_2556,i_0_2554,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278]) ).
cnf(i_0_2693,plain,
cons(hd(esk51_0),esk44_1(esk49_0)) = app(cons(hd(esk51_0),nil),esk44_1(esk49_0)),
inference(scs_inference,[],[i_0_1965,i_0_1783,i_0_1837,i_0_2228,i_0_2556,i_0_2554,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250]) ).
cnf(i_0_2695,plain,
~ segmentP(nil,cons(esk45_1(esk51_0),esk47_1(esk49_0))),
inference(scs_inference,[],[i_0_1965,i_0_1783,i_0_1837,i_0_2228,i_0_2556,i_0_2554,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305]) ).
cnf(i_0_2697,plain,
~ rearsegP(nil,cons(esk45_1(esk51_0),esk47_1(esk49_0))),
inference(scs_inference,[],[i_0_1965,i_0_1783,i_0_1837,i_0_2228,i_0_2556,i_0_2554,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306]) ).
cnf(i_0_2699,plain,
nil != cons(hd(esk51_0),esk44_1(esk49_0)),
inference(scs_inference,[],[i_0_1965,i_0_1783,i_0_1837,i_0_2228,i_0_2556,i_0_2554,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290]) ).
cnf(i_0_2701,plain,
ssList(cons(hd(esk51_0),esk44_1(esk49_0))),
inference(scs_inference,[],[i_0_1965,i_0_1783,i_0_1837,i_0_2228,i_0_2556,i_0_2554,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280]) ).
cnf(i_0_2703,plain,
memberP(cons(esk5_1(cons(esk1_0,nil)),esk47_1(esk49_0)),esk5_1(cons(esk1_0,nil))),
inference(scs_inference,[],[i_0_1965,i_0_1783,i_0_1837,i_0_2228,i_0_2556,i_0_2554,i_0_2622,i_0_2232,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408]) ).
cnf(i_0_2704,plain,
frontsegP(app(esk48_0,esk47_1(esk49_0)),nil),
inference(scs_inference,[],[i_0_1965,i_0_1783,i_0_1837,i_0_2228,i_0_2556,i_0_2554,i_0_2608,i_0_2622,i_0_2232,i_0_1778,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409]) ).
cnf(i_0_2706,plain,
~ singletonP(tl(cons(esk46_1(esk49_0),app(nil,nil)))),
inference(scs_inference,[],[i_0_1965,i_0_1783,i_0_1837,i_0_2228,i_0_2556,i_0_2554,i_0_2608,i_0_2043,i_0_2622,i_0_1824,i_0_2232,i_0_1778,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419]) ).
cnf(i_0_2707,plain,
frontsegP(app(esk48_0,esk9_2(nil,nil)),esk48_0),
inference(scs_inference,[],[i_0_1965,i_0_1783,i_0_1837,i_0_2228,i_0_2556,i_0_2554,i_0_2295,i_0_2608,i_0_2043,i_0_2622,i_0_1824,i_0_2232,i_0_1778,i_0_505,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410]) ).
cnf(i_0_2708,plain,
cons(esk1_0,esk48_0) != app(nil,nil),
inference(scs_inference,[],[i_0_1125,i_0_1965,i_0_1783,i_0_1837,i_0_2228,i_0_2556,i_0_2554,i_0_2295,i_0_2608,i_0_2043,i_0_2622,i_0_1819,i_0_1824,i_0_2232,i_0_1778,i_0_505,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_407]) ).
cnf(i_0_2709,plain,
rearsegP(app(esk47_1(esk49_0),esk48_0),nil),
inference(scs_inference,[],[i_0_1125,i_0_1965,i_0_1783,i_0_1837,i_0_2228,i_0_2556,i_0_2554,i_0_2295,i_0_2606,i_0_2608,i_0_2043,i_0_2622,i_0_1779,i_0_1819,i_0_1824,i_0_2232,i_0_1778,i_0_505,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_407,i_0_411]) ).
cnf(i_0_2711,plain,
cons(esk45_1(esk51_0),esk44_1(esk51_0)) = esk49_0,
inference(scs_inference,[],[i_0_1125,i_0_1965,i_0_1783,i_0_1837,i_0_2228,i_0_2556,i_0_2554,i_0_2234,i_0_2295,i_0_2606,i_0_2608,i_0_2043,i_0_2622,i_0_1779,i_0_1819,i_0_1824,i_0_2232,i_0_1778,i_0_505,i_0_455,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389]) ).
cnf(i_0_2712,plain,
ssList(app(esk44_1(esk49_0),esk44_1(esk49_0))),
inference(scs_inference,[],[i_0_1125,i_0_1965,i_0_1783,i_0_1837,i_0_2228,i_0_2556,i_0_2554,i_0_2234,i_0_2295,i_0_2606,i_0_2608,i_0_2043,i_0_2622,i_0_1779,i_0_1819,i_0_1824,i_0_2232,i_0_1778,i_0_505,i_0_455,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_279]) ).
cnf(i_0_2714,plain,
nil != cons(esk45_1(esk49_0),esk44_1(esk49_0)),
inference(scs_inference,[],[i_0_1125,i_0_1965,i_0_1783,i_0_1837,i_0_2228,i_0_2556,i_0_2554,i_0_2234,i_0_2253,i_0_2295,i_0_2606,i_0_2608,i_0_2043,i_0_2622,i_0_1794,i_0_1779,i_0_1819,i_0_1824,i_0_2232,i_0_1778,i_0_505,i_0_455,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_279,i_0_406]) ).
cnf(i_0_2715,plain,
segmentP(esk50_0,nil),
inference(scs_inference,[],[i_0_1125,i_0_1965,i_0_1783,i_0_1837,i_0_2228,i_0_2556,i_0_2554,i_0_2234,i_0_2253,i_0_2295,i_0_2606,i_0_2608,i_0_2043,i_0_2622,i_0_1794,i_0_1779,i_0_1819,i_0_1824,i_0_2232,i_0_1778,i_0_505,i_0_386,i_0_455,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_279,i_0_406,i_0_405]) ).
cnf(i_0_2716,plain,
app(cons(esk1_0,nil),nil) != nil,
inference(scs_inference,[],[i_0_1125,i_0_1965,i_0_1783,i_0_1837,i_0_2228,i_0_2556,i_0_2422,i_0_2554,i_0_2234,i_0_2253,i_0_2295,i_0_2606,i_0_2608,i_0_2043,i_0_2622,i_0_1794,i_0_1779,i_0_1819,i_0_1824,i_0_2232,i_0_529,i_0_1778,i_0_505,i_0_386,i_0_455,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_279,i_0_406,i_0_405,i_0_417]) ).
cnf(i_0_2725,plain,
~ gt(esk5_1(cons(esk1_0,nil)),esk5_1(cons(esk1_0,nil))),
inference(scs_inference,[],[i_0_1125,i_0_1965,i_0_1783,i_0_1837,i_0_2228,i_0_2556,i_0_2422,i_0_2554,i_0_2234,i_0_2253,i_0_2295,i_0_2606,i_0_2608,i_0_2164,i_0_2043,i_0_2622,i_0_1794,i_0_1779,i_0_1819,i_0_1824,i_0_2232,i_0_529,i_0_1778,i_0_505,i_0_2019,i_0_386,i_0_455,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_279,i_0_406,i_0_405,i_0_417,i_0_273,i_0_214,i_0_215,i_0_248,i_0_270]) ).
cnf(i_0_2727,plain,
ssList(esk6_2(esk9_2(nil,nil),nil)),
inference(scs_inference,[],[i_0_1125,i_0_1965,i_0_1783,i_0_1837,i_0_2190,i_0_2228,i_0_2556,i_0_2422,i_0_2554,i_0_2234,i_0_2253,i_0_2295,i_0_2606,i_0_2608,i_0_2164,i_0_2043,i_0_2622,i_0_1794,i_0_1779,i_0_1819,i_0_1824,i_0_2232,i_0_529,i_0_1778,i_0_505,i_0_2019,i_0_2075,i_0_380,i_0_386,i_0_455,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_279,i_0_406,i_0_405,i_0_417,i_0_273,i_0_214,i_0_215,i_0_248,i_0_270,i_0_245]) ).
cnf(i_0_2729,plain,
app(nil,esk6_2(esk9_2(nil,nil),nil)) = esk9_2(nil,nil),
inference(scs_inference,[],[i_0_1125,i_0_1965,i_0_1783,i_0_1837,i_0_2190,i_0_2228,i_0_2556,i_0_2422,i_0_2554,i_0_2234,i_0_2253,i_0_2295,i_0_2606,i_0_2608,i_0_2164,i_0_2043,i_0_2622,i_0_1794,i_0_1779,i_0_1819,i_0_1824,i_0_2232,i_0_529,i_0_1778,i_0_505,i_0_2019,i_0_2075,i_0_380,i_0_386,i_0_455,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_279,i_0_406,i_0_405,i_0_417,i_0_273,i_0_214,i_0_215,i_0_248,i_0_270,i_0_245,i_0_234]) ).
cnf(i_0_2731,plain,
ssList(esk9_2(esk8_2(nil,nil),nil)),
inference(scs_inference,[],[i_0_1125,i_0_1965,i_0_1783,i_0_1837,i_0_2190,i_0_2228,i_0_2350,i_0_2556,i_0_2422,i_0_2554,i_0_2234,i_0_2253,i_0_2295,i_0_2606,i_0_2608,i_0_2164,i_0_2043,i_0_2622,i_0_1794,i_0_1779,i_0_1819,i_0_1824,i_0_2232,i_0_529,i_0_1778,i_0_505,i_0_2019,i_0_2077,i_0_2075,i_0_380,i_0_386,i_0_455,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_279,i_0_406,i_0_405,i_0_417,i_0_273,i_0_214,i_0_215,i_0_248,i_0_270,i_0_245,i_0_234,i_0_242]) ).
cnf(i_0_2733,plain,
ssList(esk8_2(esk8_2(nil,nil),nil)),
inference(scs_inference,[],[i_0_1125,i_0_1965,i_0_1783,i_0_1837,i_0_2190,i_0_2228,i_0_2350,i_0_2556,i_0_2422,i_0_2554,i_0_2234,i_0_2253,i_0_2295,i_0_2606,i_0_2608,i_0_2164,i_0_2043,i_0_2622,i_0_1794,i_0_1779,i_0_1819,i_0_1824,i_0_2232,i_0_529,i_0_1778,i_0_505,i_0_2019,i_0_2077,i_0_2075,i_0_380,i_0_386,i_0_455,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_279,i_0_406,i_0_405,i_0_417,i_0_273,i_0_214,i_0_215,i_0_248,i_0_270,i_0_245,i_0_234,i_0_242,i_0_243]) ).
cnf(i_0_2735,plain,
ssList(esk7_2(esk9_2(nil,nil),nil)),
inference(scs_inference,[],[i_0_1125,i_0_1965,i_0_1783,i_0_1837,i_0_2188,i_0_2190,i_0_2228,i_0_2350,i_0_2556,i_0_2422,i_0_2554,i_0_2234,i_0_2253,i_0_2295,i_0_2606,i_0_2608,i_0_2164,i_0_2043,i_0_2622,i_0_1794,i_0_1779,i_0_1819,i_0_1824,i_0_2232,i_0_529,i_0_1778,i_0_505,i_0_2019,i_0_2077,i_0_2075,i_0_380,i_0_386,i_0_455,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_279,i_0_406,i_0_405,i_0_417,i_0_273,i_0_214,i_0_215,i_0_248,i_0_270,i_0_245,i_0_234,i_0_242,i_0_243,i_0_244]) ).
cnf(i_0_2737,plain,
nil != app(cons(esk45_1(esk51_0),esk47_1(esk49_0)),cons(esk45_1(esk51_0),esk47_1(esk49_0))),
inference(scs_inference,[],[i_0_1125,i_0_1965,i_0_1783,i_0_1837,i_0_2188,i_0_2190,i_0_2228,i_0_2350,i_0_2556,i_0_2422,i_0_2554,i_0_2234,i_0_2253,i_0_2295,i_0_2606,i_0_2608,i_0_2164,i_0_2043,i_0_2622,i_0_1794,i_0_1779,i_0_1819,i_0_1824,i_0_2232,i_0_529,i_0_1778,i_0_505,i_0_2019,i_0_2077,i_0_2075,i_0_380,i_0_386,i_0_455,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_279,i_0_406,i_0_405,i_0_417,i_0_273,i_0_214,i_0_215,i_0_248,i_0_270,i_0_245,i_0_234,i_0_242,i_0_243,i_0_244,i_0_286]) ).
cnf(i_0_2739,plain,
app(esk7_2(esk9_2(nil,nil),nil),nil) = esk9_2(nil,nil),
inference(scs_inference,[],[i_0_1125,i_0_1965,i_0_1783,i_0_1837,i_0_2188,i_0_2190,i_0_2228,i_0_2350,i_0_2556,i_0_2422,i_0_2554,i_0_2234,i_0_2253,i_0_2295,i_0_2606,i_0_2608,i_0_2164,i_0_2043,i_0_2622,i_0_1794,i_0_1779,i_0_1819,i_0_1824,i_0_2232,i_0_529,i_0_1778,i_0_505,i_0_2019,i_0_2077,i_0_2075,i_0_380,i_0_386,i_0_455,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,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_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_407,i_0_411,i_0_389,i_0_279,i_0_406,i_0_405,i_0_417,i_0_273,i_0_214,i_0_215,i_0_248,i_0_270,i_0_245,i_0_234,i_0_242,i_0_243,i_0_244,i_0_286,i_0_233]) ).
cnf(c_0_2766,plain,
tl(cons(hd(esk51_0),esk44_1(esk49_0))) = esk44_1(esk49_0),
i_0_2685 ).
cnf(c_0_2767,negated_conjecture,
esk49_0 = esk51_0,
i_0_385 ).
cnf(c_0_2768,plain,
ssList(cons(hd(esk51_0),esk44_1(esk49_0))),
i_0_2701 ).
cnf(c_0_2769,plain,
nil != cons(hd(esk51_0),esk44_1(esk49_0)),
i_0_2699 ).
cnf(c_0_2770,plain,
ssItem(hd(cons(esk45_1(esk51_0),esk47_1(esk49_0)))),
i_0_2683 ).
cnf(c_0_2771,plain,
hd(cons(esk45_1(esk51_0),esk47_1(esk49_0))) = esk45_1(esk51_0),
i_0_2542 ).
cnf(c_0_2772,plain,
cons(esk45_1(esk51_0),esk44_1(esk51_0)) = esk49_0,
i_0_2711 ).
cnf(c_0_2773,plain,
( nil = X1
| ssList(tl(X1))
| ~ ssList(X1) ),
i_0_361 ).
cnf(c_0_2774,plain,
tl(cons(hd(esk51_0),esk44_1(esk51_0))) = esk44_1(esk51_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2766,c_0_2767]),c_0_2767]) ).
cnf(c_0_2775,plain,
ssList(cons(hd(esk51_0),esk44_1(esk51_0))),
inference(rw,[status(thm)],[c_0_2768,c_0_2767]) ).
cnf(c_0_2776,plain,
cons(hd(esk51_0),esk44_1(esk51_0)) != nil,
inference(rw,[status(thm)],[c_0_2769,c_0_2767]) ).
cnf(c_0_2777,plain,
ssItem(hd(cons(esk45_1(esk51_0),esk47_1(esk51_0)))),
inference(rw,[status(thm)],[c_0_2770,c_0_2767]) ).
cnf(c_0_2778,plain,
hd(cons(esk45_1(esk51_0),esk47_1(esk51_0))) = esk45_1(esk51_0),
inference(rw,[status(thm)],[c_0_2771,c_0_2767]) ).
cnf(c_0_2779,plain,
( hd(cons(X1,X2)) = X1
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_278 ).
cnf(c_0_2780,plain,
cons(esk45_1(esk51_0),esk44_1(esk51_0)) = esk51_0,
inference(rw,[status(thm)],[c_0_2772,c_0_2767]) ).
cnf(c_0_2781,plain,
ssList(esk44_1(esk51_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2773,c_0_2774]),c_0_2775])]),c_0_2776]) ).
cnf(c_0_2782,plain,
ssItem(esk45_1(esk51_0)),
inference(rw,[status(thm)],[c_0_2777,c_0_2778]) ).
cnf(c_0_2783,plain,
hd(cons(hd(esk51_0),esk44_1(esk49_0))) = hd(esk51_0),
i_0_2687 ).
cnf(c_0_2784,plain,
nil != cons(esk45_1(esk49_0),esk44_1(esk49_0)),
i_0_2714 ).
cnf(c_0_2785,plain,
app(nil,cons(esk45_1(esk51_0),nil)) != nil,
i_0_2612 ).
cnf(c_0_2786,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
i_0_353 ).
cnf(c_0_2787,negated_conjecture,
ssList(esk50_0),
i_0_377 ).
cnf(c_0_2788,negated_conjecture,
esk48_0 = esk50_0,
i_0_386 ).
cnf(c_0_2789,plain,
( tl(X1) = esk47_1(X1)
| nil = X1
| ~ ssList(X1) ),
i_0_365 ).
cnf(c_0_2790,plain,
esk45_1(esk51_0) = hd(esk51_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2779,c_0_2780]),c_0_2781]),c_0_2782])]) ).
cnf(c_0_2791,plain,
( hd(X1) = esk46_1(X1)
| nil = X1
| ~ ssList(X1) ),
i_0_366 ).
cnf(c_0_2792,plain,
hd(cons(hd(esk51_0),esk44_1(esk51_0))) = hd(esk51_0),
inference(rw,[status(thm)],[c_0_2783,c_0_2767]) ).
cnf(c_0_2793,plain,
ssList(app(cons(esk46_1(esk49_0),nil),app(nil,nil))),
i_0_2569 ).
cnf(c_0_2794,plain,
( nil = app(X1,X2)
| nil != X2
| nil != X1
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_301 ).
cnf(c_0_2795,plain,
ssList(nil),
i_0_380 ).
cnf(c_0_2796,plain,
( nil = X1
| ssItem(hd(X1))
| ~ ssList(X1) ),
i_0_364 ).
cnf(c_0_2797,plain,
cons(esk45_1(esk51_0),esk44_1(esk51_0)) != nil,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2784,c_0_2767]),c_0_2767]) ).
cnf(c_0_2798,plain,
( cons(esk45_1(esk51_0),nil) != nil
| ~ ssList(cons(esk45_1(esk51_0),nil)) ),
inference(spm,[status(thm)],[c_0_2785,c_0_2786]) ).
cnf(c_0_2799,plain,
( ssList(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_280 ).
cnf(c_0_2800,plain,
~ neq(esk48_0,app(esk7_2(esk48_0,esk48_0),esk48_0)),
i_0_2570 ).
cnf(c_0_2801,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_302 ).
cnf(c_0_2802,negated_conjecture,
ssList(esk48_0),
inference(rw,[status(thm)],[c_0_2787,c_0_2788]) ).
cnf(c_0_2803,plain,
app(nil,esk44_1(esk49_0)) = esk44_1(esk49_0),
i_0_2648 ).
cnf(c_0_2804,plain,
esk47_1(cons(hd(esk51_0),esk44_1(esk51_0))) = esk44_1(esk51_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2789,c_0_2774]),c_0_2775])]),c_0_2776]) ).
cnf(c_0_2805,plain,
cons(hd(esk51_0),esk44_1(esk51_0)) = esk51_0,
inference(rw,[status(thm)],[c_0_2780,c_0_2790]) ).
cnf(c_0_2806,plain,
ssList(tl(cons(esk45_1(esk51_0),esk47_1(esk49_0)))),
i_0_2677 ).
cnf(c_0_2807,plain,
tl(cons(esk45_1(esk51_0),esk47_1(esk49_0))) = esk47_1(esk49_0),
i_0_2540 ).
cnf(c_0_2808,plain,
cons(hd(esk51_0),esk44_1(esk49_0)) = app(cons(hd(esk51_0),nil),esk44_1(esk49_0)),
i_0_2693 ).
cnf(c_0_2809,plain,
esk46_1(cons(hd(esk51_0),esk44_1(esk51_0))) = hd(esk51_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2791,c_0_2792]),c_0_2775])]),c_0_2776]) ).
cnf(c_0_2810,plain,
ssList(app(cons(esk46_1(esk51_0),nil),app(nil,nil))),
inference(rw,[status(thm)],[c_0_2793,c_0_2767]) ).
cnf(c_0_2811,plain,
app(nil,nil) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_2794])]),c_0_2795])]) ).
cnf(c_0_2812,plain,
ssItem(hd(esk51_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2796,c_0_2792]),c_0_2775])]),c_0_2776]) ).
cnf(c_0_2813,negated_conjecture,
ssList(esk51_0),
i_0_376 ).
cnf(c_0_2814,plain,
esk51_0 != nil,
inference(rw,[status(thm)],[c_0_2797,c_0_2780]) ).
cnf(c_0_2815,plain,
cons(esk45_1(esk51_0),nil) != nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2798,c_0_2799]),c_0_2795]),c_0_2782])]) ).
cnf(c_0_2816,plain,
( app(esk7_2(esk48_0,esk48_0),esk48_0) = esk48_0
| ~ ssList(app(esk7_2(esk48_0,esk48_0),esk48_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2800,c_0_2801]),c_0_2802])]) ).
cnf(c_0_2817,plain,
( ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
i_0_279 ).
cnf(c_0_2818,plain,
app(nil,esk44_1(esk51_0)) = esk44_1(esk51_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2803,c_0_2767]),c_0_2767]) ).
cnf(c_0_2819,plain,
esk44_1(esk51_0) = esk47_1(esk51_0),
inference(rw,[status(thm)],[c_0_2804,c_0_2805]) ).
cnf(c_0_2820,plain,
ssList(tl(cons(esk45_1(esk51_0),esk47_1(esk51_0)))),
inference(rw,[status(thm)],[c_0_2806,c_0_2767]) ).
cnf(c_0_2821,plain,
tl(cons(esk45_1(esk51_0),esk47_1(esk51_0))) = esk47_1(esk51_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2807,c_0_2767]),c_0_2767]) ).
cnf(c_0_2822,plain,
app(cons(hd(esk51_0),nil),esk44_1(esk51_0)) = cons(hd(esk51_0),esk44_1(esk51_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2808,c_0_2767]),c_0_2767]) ).
cnf(c_0_2823,plain,
hd(esk51_0) = esk46_1(esk51_0),
inference(rw,[status(thm)],[c_0_2809,c_0_2805]) ).
cnf(c_0_2824,plain,
ssList(app(cons(esk46_1(esk51_0),nil),nil)),
inference(rw,[status(thm)],[c_0_2810,c_0_2811]) ).
cnf(c_0_2825,plain,
( cons(X1,X2) = app(cons(X1,nil),X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_250 ).
cnf(c_0_2826,plain,
ssItem(esk46_1(esk51_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2812,c_0_2791]),c_0_2813])]),c_0_2814]) ).
cnf(c_0_2827,plain,
cons(hd(esk51_0),nil) != nil,
inference(rw,[status(thm)],[c_0_2815,c_0_2790]) ).
cnf(c_0_2828,plain,
( X1 = X2
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| app(X1,X3) != app(X2,X3) ),
i_0_240 ).
cnf(c_0_2829,plain,
( app(esk7_2(esk48_0,esk48_0),esk48_0) = esk48_0
| ~ ssList(esk7_2(esk48_0,esk48_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2816,c_0_2817]),c_0_2802])]) ).
cnf(c_0_2830,plain,
app(nil,esk47_1(esk51_0)) = esk47_1(esk51_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2818,c_0_2819]),c_0_2819]) ).
cnf(c_0_2831,plain,
ssList(esk47_1(esk51_0)),
inference(rw,[status(thm)],[c_0_2820,c_0_2821]) ).
cnf(c_0_2832,plain,
( nil = X1
| tl(app(X1,X2)) = app(tl(X1),X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
i_0_248 ).
cnf(c_0_2833,plain,
app(cons(esk46_1(esk51_0),nil),esk47_1(esk51_0)) = esk51_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2822,c_0_2805]),c_0_2823]),c_0_2819]) ).
cnf(c_0_2834,plain,
tl(esk51_0) = esk47_1(esk51_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2774,c_0_2805]),c_0_2819]) ).
cnf(c_0_2835,plain,
ssList(cons(esk46_1(esk51_0),nil)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2824,c_0_2825]),c_0_2795]),c_0_2826])]) ).
cnf(c_0_2836,plain,
cons(esk46_1(esk51_0),nil) != nil,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2827,c_0_2791]),c_0_2813])]),c_0_2814]) ).
cnf(c_0_2837,plain,
( X1 = esk7_2(esk48_0,esk48_0)
| app(X1,esk48_0) != esk48_0
| ~ ssList(esk7_2(esk48_0,esk48_0))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2828,c_0_2829]),c_0_2802])]) ).
cnf(c_0_2838,plain,
( ssList(esk7_2(X1,X2))
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_244 ).
cnf(c_0_2839,plain,
( X1 = nil
| app(X1,esk47_1(esk51_0)) != esk47_1(esk51_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2828,c_0_2830]),c_0_2831]),c_0_2795])]) ).
cnf(c_0_2840,plain,
app(tl(cons(esk46_1(esk51_0),nil)),esk47_1(esk51_0)) = esk47_1(esk51_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2832,c_0_2833]),c_0_2834]),c_0_2831]),c_0_2835])]),c_0_2836]) ).
cnf(c_0_2841,plain,
( X1 = esk7_2(esk48_0,esk48_0)
| app(X1,esk48_0) != esk48_0
| ~ rearsegP(esk48_0,esk48_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2837,c_0_2838]),c_0_2802])]) ).
cnf(c_0_2842,plain,
( rearsegP(X1,X1)
| ~ ssList(X1) ),
i_0_351 ).
cnf(c_0_2843,negated_conjecture,
( app(X1,cons(X2,nil)) = esk50_0
| ~ ssItem(X2)
| ~ ssList(X1)
| app(cons(X2,nil),X1) != esk51_0 ),
i_0_210 ).
cnf(c_0_2844,plain,
( nil = X1
| nil = X2
| X1 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| hd(X1) != hd(X2)
| tl(X1) != tl(X2) ),
i_0_276 ).
cnf(c_0_2845,plain,
( tl(cons(esk46_1(esk51_0),nil)) = nil
| ~ ssList(tl(cons(esk46_1(esk51_0),nil))) ),
inference(spm,[status(thm)],[c_0_2839,c_0_2840]) ).
cnf(c_0_2846,plain,
( nil = X1
| hd(app(X1,X2)) = hd(X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
i_0_273 ).
cnf(c_0_2847,plain,
( X1 = esk7_2(esk48_0,esk48_0)
| app(X1,esk48_0) != esk48_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2841,c_0_2842]),c_0_2802])]) ).
cnf(c_0_2848,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_2843,c_0_2788]) ).
cnf(c_0_2849,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
i_0_354 ).
cnf(c_0_2850,plain,
( singletonP(X1)
| ~ ssItem(X2)
| cons(X2,nil) != X1
| ~ ssList(X1) ),
i_0_284 ).
cnf(c_0_2851,plain,
( X1 = esk51_0
| nil = X1
| hd(X1) != esk46_1(esk51_0)
| tl(X1) != esk47_1(esk51_0)
| ~ ssList(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2844,c_0_2834]),c_0_2823]),c_0_2813])]),c_0_2814]) ).
cnf(c_0_2852,plain,
tl(cons(esk46_1(esk51_0),nil)) = nil,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2845,c_0_2773]),c_0_2835])]),c_0_2836]) ).
cnf(c_0_2853,plain,
hd(cons(esk46_1(esk51_0),nil)) = esk46_1(esk51_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2846,c_0_2833]),c_0_2823]),c_0_2831]),c_0_2835])]),c_0_2836]) ).
cnf(c_0_2854,plain,
( segmentP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X4)
| app(app(X3,X2),X4) != X1
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_211 ).
cnf(c_0_2855,plain,
esk7_2(esk48_0,esk48_0) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2847,c_0_2786]),c_0_2795]),c_0_2802])]) ).
cnf(c_0_2856,plain,
( app(nil,cons(X1,nil)) = esk48_0
| cons(X1,nil) != esk51_0
| ~ ssList(cons(X1,nil))
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2848,c_0_2849]),c_0_2795])]) ).
cnf(c_0_2857,plain,
( ssItem(esk5_1(X1))
| ~ singletonP(X1)
| ~ ssList(X1) ),
i_0_309 ).
cnf(c_0_2858,plain,
( singletonP(cons(X1,nil))
| ~ ssList(cons(X1,nil))
| ~ ssItem(X1) ),
inference(er,[status(thm)],[c_0_2850]) ).
cnf(c_0_2859,plain,
( cons(esk46_1(esk51_0),nil) = esk51_0
| esk47_1(esk51_0) != nil ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2851,c_0_2852]),c_0_2853]),c_0_2835])]),c_0_2836]) ).
cnf(c_0_2860,negated_conjecture,
( ~ ssList(X1)
| ~ neq(X1,nil)
| ~ segmentP(esk49_0,X1)
| ~ segmentP(esk48_0,X1) ),
i_0_239 ).
cnf(c_0_2861,plain,
( segmentP(app(app(X1,X2),X3),X2)
| ~ ssList(app(app(X1,X2),X3))
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(er,[status(thm)],[c_0_2854]) ).
cnf(c_0_2862,plain,
app(nil,esk48_0) = esk48_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2829,c_0_2855]),c_0_2855]),c_0_2795])]) ).
cnf(c_0_2863,plain,
( nil = X1
| nil != app(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_285 ).
cnf(c_0_2864,plain,
( cons(X1,nil) = esk48_0
| cons(X1,nil) != esk51_0
| ~ ssList(cons(X1,nil))
| ~ ssItem(X1) ),
inference(spm,[status(thm)],[c_0_2786,c_0_2856]) ).
cnf(c_0_2865,plain,
( ssItem(esk5_1(cons(X1,nil)))
| ~ ssList(cons(X1,nil))
| ~ ssItem(X1) ),
inference(spm,[status(thm)],[c_0_2857,c_0_2858]) ).
cnf(c_0_2866,plain,
( cons(esk5_1(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
i_0_300 ).
cnf(c_0_2867,plain,
( singletonP(esk51_0)
| esk47_1(esk51_0) != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2858,c_0_2859]),c_0_2813]),c_0_2826])]) ).
cnf(c_0_2868,negated_conjecture,
( ~ neq(X1,nil)
| ~ segmentP(esk51_0,X1)
| ~ segmentP(esk48_0,X1)
| ~ ssList(X1) ),
inference(rw,[status(thm)],[c_0_2860,c_0_2767]) ).
cnf(c_0_2869,plain,
( segmentP(app(esk48_0,X1),esk48_0)
| ~ ssList(app(esk48_0,X1))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2861,c_0_2862]),c_0_2795]),c_0_2802])]) ).
cnf(c_0_2870,plain,
( app(X1,esk6_2(X2,X1)) = X2
| ~ frontsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
i_0_234 ).
cnf(c_0_2871,plain,
( nil = X1
| ssList(app(tl(X1),X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2773,c_0_2832]),c_0_2817]),c_0_2863]) ).
cnf(c_0_2872,plain,
( segmentP(app(app(X1,X2),X3),X4)
| ~ ssList(X2)
| ~ ssList(X4)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X2,X4) ),
i_0_206 ).
cnf(c_0_2873,plain,
( frontsegP(X1,X2)
| ~ ssList(X3)
| app(X2,X3) != X1
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_257 ).
cnf(c_0_2874,plain,
( cons(X1,nil) = esk48_0
| cons(X1,nil) != esk51_0
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2864,c_0_2799]),c_0_2795])]) ).
cnf(c_0_2875,plain,
( ssItem(esk5_1(esk51_0))
| esk47_1(esk51_0) != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2865,c_0_2859]),c_0_2813]),c_0_2826])]) ).
cnf(c_0_2876,plain,
( cons(esk5_1(esk51_0),nil) = esk51_0
| esk47_1(esk51_0) != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2866,c_0_2867]),c_0_2813])]) ).
cnf(c_0_2877,negated_conjecture,
( X1 = nil
| ~ segmentP(esk51_0,X1)
| ~ segmentP(esk48_0,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2868,c_0_2801]),c_0_2795])]) ).
cnf(c_0_2878,plain,
( segmentP(X1,X1)
| ~ ssList(X1) ),
i_0_350 ).
cnf(c_0_2879,plain,
( segmentP(X1,esk48_0)
| ~ frontsegP(X1,esk48_0)
| ~ ssList(esk6_2(X1,esk48_0))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2869,c_0_2870]),c_0_2802])]) ).
cnf(c_0_2880,plain,
( ssList(esk6_2(X1,X2))
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_245 ).
cnf(c_0_2881,plain,
( nil = X1
| nil != app(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
i_0_286 ).
cnf(c_0_2882,negated_conjecture,
app(esk47_1(esk51_0),cons(esk46_1(esk51_0),nil)) = esk48_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2848,c_0_2833]),c_0_2831]),c_0_2826])]) ).
cnf(c_0_2883,plain,
( ssList(app(esk47_1(esk51_0),X1))
| ~ ssList(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2871,c_0_2834]),c_0_2813])]),c_0_2814]) ).
cnf(c_0_2884,plain,
( segmentP(app(esk51_0,X1),X2)
| ~ segmentP(esk47_1(esk51_0),X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2872,c_0_2833]),c_0_2831]),c_0_2835])]) ).
cnf(c_0_2885,plain,
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_2873]),c_0_2817]) ).
cnf(c_0_2886,plain,
( cons(esk5_1(esk51_0),nil) = esk48_0
| esk47_1(esk51_0) != nil ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2874,c_0_2875]),c_0_2876]) ).
cnf(c_0_2887,plain,
( esk5_1(esk51_0) = esk46_1(esk51_0)
| esk47_1(esk51_0) != nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2779,c_0_2876]),c_0_2823]),c_0_2795])]),c_0_2875]) ).
cnf(c_0_2888,plain,
( esk48_0 = nil
| ~ segmentP(esk51_0,esk48_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2877,c_0_2878]),c_0_2802])]) ).
cnf(c_0_2889,plain,
( segmentP(X1,esk48_0)
| ~ frontsegP(X1,esk48_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2879,c_0_2880]),c_0_2802])]) ).
cnf(c_0_2890,plain,
esk48_0 != nil,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2881,c_0_2882]),c_0_2831]),c_0_2835])]),c_0_2836]) ).
cnf(c_0_2891,plain,
( segmentP(app(esk47_1(esk51_0),X1),esk47_1(esk51_0))
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2861,c_0_2830]),c_0_2795]),c_0_2831])]),c_0_2883]) ).
cnf(c_0_2892,plain,
( segmentP(app(esk51_0,X1),esk47_1(esk51_0))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2884,c_0_2878]),c_0_2831])]) ).
cnf(c_0_2893,plain,
frontsegP(esk51_0,cons(esk46_1(esk51_0),nil)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2885,c_0_2833]),c_0_2831]),c_0_2835])]) ).
cnf(c_0_2894,plain,
( cons(esk46_1(esk51_0),nil) = esk48_0
| esk47_1(esk51_0) != nil ),
inference(spm,[status(thm)],[c_0_2886,c_0_2887]) ).
cnf(c_0_2895,plain,
~ frontsegP(esk51_0,esk48_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2888,c_0_2889]),c_0_2813])]),c_0_2890]) ).
cnf(c_0_2896,negated_conjecture,
segmentP(esk48_0,esk47_1(esk51_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2891,c_0_2882]),c_0_2835])]) ).
cnf(c_0_2897,plain,
segmentP(esk51_0,esk47_1(esk51_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2892,c_0_2849]),c_0_2795]),c_0_2813])]) ).
cnf(c_0_2898,plain,
esk47_1(esk51_0) != nil,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2893,c_0_2894]),c_0_2895]) ).
cnf(c_0_2899,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2877,c_0_2896]),c_0_2897]),c_0_2831])]),c_0_2898]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC088+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n005.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 04:24:45 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 198.66/124.00 % Version : CSE_E---1.7
% 198.66/124.00 % Problem : theBenchmark.p
% 198.66/124.00 % SZS status Theorem for theBenchmark.p
% 198.66/124.00 % SZS output start CNFRefutation
% See solution above
% 211.36/136.61 % Total time : 123.286s
%------------------------------------------------------------------------------